Mathematics High School

PLEASE HELP
7.05a

1. Find the first six terms of the sequence.
a1 = -6, an = 4 • an-1


A) 0, 4, -24, -20, -16, -12
B) -24, -96, -384, -1536, -6144, -24,576
C) -6, -24, -20, -16, -12, -8
D) -6, -24, -96, -384, -1536, -6144

2. Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...

A) an = -15 + 9(n + 1)
B) an = -15 x 9(n - 1)
C) an = -15 + 9(n + 2)
D) an = -15 + 9(n - 1)

3. Find an equation for the nth term of the arithmetic sequence.
a14 = -33, a15 = 9

A) an = -579 + 42(n + 1)
B) an = -579 + 42(n - 1)
C) an = -579 - 42(n + 1)
D) an = -579 - 42(n - 1)

4. Determine whether the sequence converges or diverges. If it converges, give the limit.
48, 8, four divided by three , two divided by nine , ...

A) Converges; two hundred and eighty eight divided by five
B) Converges; 0
C) Diverges
D) Converges; -12432

5. Find an equation for the nth term of the sequence.
-3, -12, -48, -192, ...

A) an = 4 • -3n + 1
B) an = -3 • 4n - 1
C) an = -3 • 4n
D) an = 4 • -3n

6. Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.

A) an = 7 • (-3)n + 1
B) an = 7 • 3n - 1
C) an = 7 • (-3)n - 1
D) an = 7 • 3n

7. Write the sum using summation notation, assuming the suggested pattern continues.
5 - 15 + 45 - 135 + ...

A) summation of five times three to the power of the quantity n plus one from n equals zero to infinity
B) summation of five times negative three to the power of n from n equals zero to infinity
C) summation of five times three to the power of n from n equals zero to infinity
D) summation of five times negative three to the power of the quantity n plus one from n equals zero to infinity

8. Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 3 + 3 + 9 + ... + 81

A) summation of the quantity negative nine plus six n from n equals zero to fifteen
B) summation of negative fifty four times n from n equals zero to fifteen
C) summation of negative fifty four times n from n equals zero to infinity
D) summation of the quantity negative nine plus six n from n equals zero to infinity

9. Write the sum using summation notation, assuming the suggested pattern continues.
64 + 81 + 100 + 121 + ... + n2 + ...

A) summation of n squared from n equals eight to infinity
B) summation of n minus one squared from n equals eight to infinity
C) summation of n squared from n equals nine to infinity
D) summation of n plus one squared from n equals eight to infinity

10. Find the sum of the arithmetic sequence.
17, 19, 21, 23, ..., 35

A) 260
B) 179
C) 37
D) 160

11. Find the sum of the geometric sequence.
1, one divided by two, one divided by four, one divided by eight, one divided by sixteen

A) one divided by twelve
B) 93
C) negative one divided by forty eight
D) thirty one divided by sixteen

12. An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

A) 1170
B) 735
C) 1230
D) 600

13. Use mathematical induction to prove the statement is true for all positive integers n.

The integer n3 + 2n is divisible by 3 for every positive integer n.




14. A certain species of tree grows an average of 3.8 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 5 meters tall.

Answers

Answer 1
These are 14 questions and 14 answers.

Since this exceeds the limit and I had to delete the last questions and I copied all the answers to a file that is attache. See the attachment with all the answers.

1) Question 1. Find the first six terms of the sequence: a1 = -6, an = 4 • an-1

Answer: option D) -6, -24, -96, -384, -1536, -6144

Explanation:

A(1) = - 6

A(n) = 4 * A(n-1)

n                 A(n)

1                 - 6

2                  4 * (-6) = - 24

3                  4 * (-24) = - 96

4                  4 * (-96) = - 384

5                  4 * (-384) = - 1536

6                  4 * ( -1536) = -6144

So, the first six terms are: -6, - 24, - 96, - 384, - 1536, - 6144.

2) Question 2: Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...

Answer: option D) - 15 + 9(n - 1)

Explanation:

1. find the difference between the consecutive terms:

-6 - (-15) = -6 + 15 = 9
3 - (-6) = 3 + 6 = 9
12 - 3 = 9

So, the difference is 9, and you can find any term adding 9 to the previous.

2. Since the first term is - 15, you have:

First term, A1 = - 15 + 9(0) = - 15
Second term, A2 =  - 15 + 9(1) = - 6
Third term, A3 = -15 + 9(2) = - 15 + 18 = 3
Fourth term, A4 = - 15 + 9(3) = - 15 + 27 = 12

3. So, the general formula is An = - 15 + 9 (n - 1), which is the option D)

3) Question 3. Find an equation for the nth term of the arithmetic sequence A14 = - 33, A15 = 9.

Answer: option B) An = - 579 + 42(n - 1)

Explanation:

1) Find the difference: 9 - (-33) = 9 + 33 = 42

2) A15 = A1 + 42 * (15 - 1)

=> A1 = A15 - 42(15 - 1)

A1 = A15 - 42(14)

A1 = 9 - 588 = - 579

Therefore, the formula es An = - 579 + 42(n - 1)

4) Question 4. Determine whether the sequence converges or diverges. If it converges, give the limit.

48, 8, 4/3, 2/9, ...

Answer: the sequence converges to 288/5

Explanation:

That is a geometric sequence.

The ratio is 1/6: 8/48 = 1/6; (4/3) / 8 = 4/24 = 1/6; (2/9)/(4/3) = 6/36 = 1/6.

The convergence criterium is that if |ratio| < 1 then the series, this is the sum of all the terms, converge to: A1 / (1 - ratio)

Then the limit 48 / (1 - 1/6) = 48 / (5/6) = 48*6 / 5 = 288/5

5) Question 5. Find an equation for the nth term of the sequence.

-3, -12, - 48, -192

Answer: - 3 * (4)^(n-1)

Explanation: clearly any term (from the second) is the previous term multiplied by 4.

The first term is  -3
The second term is -3(4) = - 12
The third term is -3(4)(4)= - 48
The fourth term is - 3 (4)(4)(4) = - 192

So, the general formula for the nth term is -3 * 4^ (n-1)

6) Question 6. Find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively.

Answer: An =7 * (-3)^(n-1)

Explanation:

1) The fith term is the second term * (ratio)^3: A5 = A3 * (r)^3

2)  A5 = 567, A2 = - 21 => r^3 = A5 / A2 = - 567 / 21 = - 27

=> r = ∛(-27) = - 3

3) So the first term is A1 = A2 / r = -21 / -3 = 7

4) The general formula is

An =7 * (-3)^(n-1)

7) Question 7. Write the sum using summation notation, assuming the suggested pattern continues.

5 - 15 + 45 - 135 + ...

Answer: option B) summation of five times negative three to the power of n from n equals zero to infinity

Explanation:

5 = 5
-15 = 5 (-3)
45 = 5(-3)^2
-135 = 5(-3)^3

=> 5 + 5(-3) + 5(-3)^2 + 5(-3)^3+....

Using the summation notation that is:

∞
∑ (5)(-3)^n
n=0

Which means summation of five times negative three to the power of n from n equals zero to infinity

8) Question 8. Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 3 + 3 + 9 + ... + 81

Answer: option A) summation of the quantity negative nine plus six n from n equals zero to fifteen

Explanation:

Find the difference:

-3 - (-9) = - 3 + 9 = 6
3 - (-3) = 3 + 3 = 6
9 - 3 = 6

First term: - 9
Second term: - 9 + 6(1)
Third term: - 9 + 6(2)

nth term = - 9 + (n -1)

Summation = [- 9] + [- 9 + 6(1) + [-9 + 6(2)] + [-9 + 6(3) ]+ .... [-9 + 6(15) ]

Using summation notation:

15
∑ [-9 + 6n]
n=0

which means summation of the quantity negative nine plus six n from n equals zero to fifteen.


9) Question 9. Write the sum using summation notation, assuming the suggested pattern continues.


64 + 81 + 100 + 121 + ... + n2 + ...

Answer: A) summation of n squared from n equals eight to infinity

Explanation:

64 = 8^2

81 = 9^2

100 = 10^2

121 = 11^2

n^2


=>

∞

∑ n^2

n=8


which means summation of n squared from n equals eight to infinity

10) Question 10. Find the sum of the arithmetic sequence.
17, 19, 21, 23, ..., 35


Answer: 260


Explanation:

The difference is 2:

The sum is: 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35.

You can use the formula for the sum of an arithmetic sequence:


(A1 + An) * n / 2 = (17 + 35)*10/2 = 260



11) Question 11. Find the sum of the geometric sequence. 

1, 1/2, 1/4, 1/8, 1/16

Answer: option D) 31/16


Explanation:


You can either sum the 5 terms or use the formula for the partial sum of a geometric sequence.

The formula is: Sum = A * ( 1 - r^n) / (1 - r)


Here A = 1, r = 1/2, and n = 5 => Sum = 1 * (1 - (1/2)^5 ) / (1 - 1/2) =


= [ 1 - 1/32] / [1/2] = [31/32] / [1/2] = 31 / 16

Related Questions

A sandwich shop uses the box size shown to pack boxed lunches. They have determined that they need to use bigger boxes. If the side lengths of the square faces are changed to 7 inches, by how much will this increase the volume of the box?

Answers

The original volume of the shape was 250. You come up with this by multiplying all sides together. So, 5x5x10=250.

We do the same for the new shape, which now has a 7 in place of the 5. So 7x7x10=490.

Lastly, we subtract the volume of the new shape from the volume of the old shape to see the difference. So, 490-250=240.

So the answer to this is 240.

Answer:

240 cubic cm

Step-by-step explanation:

Volume of the box before increament in sides = length*width*height

Length= 5 in.

Width=5 in.

Height = 10 in.

Putting these vales in formula

Volume of box = 5*5*10

                        =[tex]250cm^{3}[/tex]

Now  If the side lengths of the square faces are changed to 7 inches,

So, Length will be 7 in.

Width will be 7 in.

So, new volume = 7*7*10

                          =[tex]490cm^{3}[/tex]

Thus increase in volume = 490-250 =240

Hence by 240 cubic cm  will this increase the volume of the box

Is the square root of eight a rational or irrational number

Answers

[tex]\bf \sqrt{8}\implies \sqrt{2\cdot 2\cdot 2}\implies \sqrt{2^2\cdot 2}\implies 2\sqrt{2}[/tex]

it just so happen that √2 is an irrational number, so any product with it as a factor, will yield an irrational number as well.



factoid:   Ancient Greeks were scared of irrational numbers, and they steered clear from √2.

Please help on these questions for 5 stars and brainliest!!

1. Suppose the equation of the axis of symmetry for a quadratic function is x = -3

and one of the x-intercepts is -8.

What is the other x-intercept?


2. If the equation of the axis of symmetry of a quadratic function is x = 0,

and one of the x-intercept is -4, what is the other x-intercept?

Answers

Two
===
x=0 is the y axis. So the other x intercept is a mirror image of x = - 4.
x = 4 is the other x value for the intercept.
(4,0) is the other intercept. <<==== answer.

One
===
Axis of symmetry is x = - 3
One of the intercepts is (- 8,0) That is 5 units to the left of (-3,0) so now yo much go 5 units to the right of (-3,0)
That will take you to -3 + 5 = 2
(2,0) is the other intercept <<<<< ===== answer.

find p(-3) and p(5) for the function p(x)=4x^4+8x^3-2x^2+13x+10

Answers

I find it convenient to let a graphing calculator do the evaluation.
.. p(-3) = 61
.. p(5) = 3525

Find the value of x.

Answers

The small triangle containing both the 6 and the ten should have its third side calculated.
Use a^2 + b^2 = c^2
a = 6
c = 10
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 100 - 36
b^2 = 64
b = 8
Note: - 8 has not meaning.

Now by similar triangles using the small triangle and the middle sized triangle on your right

6/8 = 8/(x - 6) Reduce 6/8. You don't have to but it makes things easier.
3/4 = 8/(x - 6) Cross multiply
3(x - 6) = 4*8 Remove the brackets.
3x - 18 = 32 Add 18 to both sides
3x = 50 Divide by 3
x = 50/3 = 16.667 <<<=== answer

Lou Harris is guaranteed a minimum $275 weekly salary plus 5.25% of his total sales. What were his total sales for a week in which his gross pay was $700?

Answers

so he had a gross of $700, now 700 - 275 is 425, since 275 is what his weekly salary is, then the 425 is the 5.25% from the sales.

let's say "x" is the total amount for the sales, namely the 100%, but we also know that 5.25% of that is 425, the leftover from the 700 bucks minus his salary, what is "x" anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 425&5.25 \end{array}\implies \cfrac{x}{425}=\cfrac{100}{5.25}\implies x=\cfrac{425\cdot 100}{5.25}[/tex]

A bag contains 3 red marbles and 4 blue marbles.A marble is taken out from the bag and replaced. Another marble is taken from the bag. Work out the probability that the two marbles taken from the bag are the same colour.

Answers

A bag contains 3 red marbles and 4 blue marbles. a marble is taken at random and replaced. Another marble is taken from the bag. Work out the probability that the two marbles taken from the bag are the same color.

Total number of marbles in the bag is 3 + 4 = 7.The problem asks for the probability of (RR) or (BB).It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw fromSince each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
I think 2/7 would be the probability 

What form of a quadratic function would be graphed having the vertex at the same point as the y-intercept?

Answers

The answer is ax²+bx+c=y hope this helps

Which table represents a quadratic relationship?

A .x -2 -1 0 1 2 3
f(x) 4 2 1 0.5 0.25 0.125


B. x -7 -6 -5 -4 -3 -2
f(x) 135 128 105 72 35 0


C. x -2 -1 0 1 2 3
f(x) -23.4 -23.2 -23 -22.8 -22.6 -22.4


D. x -1 0 1 2 3 4
f(x) 90 56 26 0 -22 -40

Answers

In each case, the x-values are equally-spaced. Thus looking at second differences will tell you if the relation is quadratic. If the second differences are non-zero and constant, then the values have a quadratic relationship.

A. First differences are 2-4 = -2, 1-2 = -1, 0.5-1 = -0.5. Second differences are -1-(-2) = 1, -0.5-(-1) = 0.5. Since 1 ≠ 0.5, this relation is not quadratic. (It is exponential with a base of 1/2.)

B. First differences are 128-135 = -7, 105-128 = -23, 72-105 = -33. Second differences are -23-(-7) = -16, -33-(-23)=-10. Since -16 ≠ -10, this relation is not quadratic. (It is cubic, since 3rd differences are constant at +4.)

C. First differences are -23.2-(-23.4) = 0.2, -23.0-(-23.2) = 0.2, -22.8-(-23.0) = 0.2. Second differences are zero, so this is not a quadratic relation. (It is linear, with a slope of 0.2.)

D. First differences are 56-90 = -34, 26-56 = -30, 0-26 = -26. Second differences are -30-(-34) = 4, -26-(-30) = 4. These are constant (=4), so the relation is quadratic.

The appropriate choice is ...

... D. x -1 0 1 2 3 4

... f(x) 90 56 26 0 -22 -40

Answer:  D. x -1 0 1 2 3 4

f(x) 90 56 26 0 -22 -40

Step-by-step explanation:

Answer for number 5?

Answers

5+3+5+3=16
192/16=(a)
(A)*5=length
(A)*3=width
We have
 P = 2L + 2W
 Where,
 L: side
 W: width
 On the other hand we have that the ratio is:
 L / W = 5/3
 Clearing L we have:
 L = (5/3) * (W)
 Substituting in the expression of the perimeter:
 P = 2 ((5/3) * (W)) + 2W
 Rewriting:
 P = (16/3) W
 The perimeter is 192:
 192 = (16/3) W
 We cleared W:
 W = (3/16) * (192)
 W = 36
 Finally we substitute W in the expression for L:
 L = (5/3) * (W)
 L = (5/3) * (36)
 L = 60
 Answer:
 The width and length are:
 W = 36 yards
 L = 60 yards

Can someone help me with this please!!

Answers

Hello there! I can help you! A degree in a polynomial is the highest exponent out of the terms in that polynomial. For example, the degree for 3x³ + 2x² - 7 is 3, because that is the highest valued exponent. Let's solve each of these questions.

1. Okay, so there are 3 terms in the polynomial, which makes it a trinomial. That eliminates A, C, and D, because those answers do not say trinomials. The degree in the trinomial is 2, because that's the highest exponent in any of the terms. That is a quadratic trinomial. The answer is B.

2. Alright. So like the previous question, there are 3 terms in the polynomial. That eliminates answer choices C and D. The degree is 3, which makes it cubic. This is a cubic trinomial. The answer is A.

3. The degree is as stated above, the highest exponent in the polynomial out of the terms. 2 and 4 are not the degrees in this polynomial, so those answers are crossed out. It seems like the degree is 5. However, there is a monomial where two exponent amounts are together. In this case, we will combine the exponents by adding. 2 + 4 is 6. There. The degree is 6. The answer is D.

Note: Keep in mind that linear is where the highest degree is 1, quadratic is where the highest degree si 2, cubic is where the highest degree is 3, quartic is where the highest degree is 4, quintic is where the highest degree is 5. Quadratic and Quartic are not the same, and are easy to get mixed up due to the spelling. Be careful not to make an error on which is which, when it comes to those two.

An angle measures 4.3 radians To the nearest degree, what is the measure of the angle? degrees

Answers

well, we know there are 180° in π radians, how many degrees are there in 4.3 radians?

[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ d&4.3 \end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{4.3}\implies \cfrac{180\cdot 4.3}{\pi }=d[/tex]
Answer:

The measure of the given angle in degrees is:

                          246 degrees

Step-by-step explanation:

We are given a  angle measure in radians.

We have to convert the given angle measure to degrees.

We know the conversion that:

 π radians= 180°

⇒  1 radians= 180°/π

Hence, the value of 4.3 radians will be, we multiply both side of the equation by 4.3 :

   4.3 radians=246.372°

Hence, to the nearest degree i.e. to the whole number of a degree we get the value of:

    4.3 radians= 246°

Write a complete sentence that states the type of transformation that was performed and explains the transformation in detail. Quadrilateral EFGH is the image.

ABCD A(-4,-1)B(-1,-4)C(-2,-8)D(-5,-4)

EFGH
E(0,-6)F(3,-9)G(2,-13)H(-1,-9)

Answers

the type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
                                          = (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point  A did.

Domingo works 40 hours per week as a tire store manager . If he made $29640 last year. how much he made per hour
A. $14.25
B. $16.50
C. $12.25
D.$11.00

Answers

Final answer:

Domingo made $14.25 per hour last year by dividing his annual income of $29640 by the total hours worked in the year, which is 2080 hours (40 hours/week  imes 52 weeks).

Explanation:

To calculate how much Domingo made per hour, divide his annual income by the total number of hours worked in a year. Domingo works 40 hours per week, and there are 52 weeks in a year, so the total hours worked in a year is 40 hours/week  imes 52 weeks/year = 2080 hours/year.

The formula to find the hourly wage is:

Hourly Wage = Annual Income / Total Hours Worked

Thus, Domingo's hourly wage would be:

$29640 / 2080 hours = $14.25 per hour.

Therefore, the correct answer is A. $14.25.

The function f(x)= 2 x 5^x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function ?

Answers

I think the multiplicative rate of change of the function is 5.
because to get the y coordinate of (2,50) we multiply the y coordinate of (1,10) by 5, similarly to get the y coordinate of (3,250) we multiply that of (2,50) by 5

An architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house? Enter your answer in the box.



A rectangle has a length of 6 inches and a width of 3 inches.

What is the effect on the perimeter when the dimensions are multiplied by 8?

The perimeter is increased by a factor of 8.
The perimeter is increased by a factor of 24.
The perimeter is increased by a factor of 64.
The perimeter is increased by a factor of 256.

This figure is made up of a triangle and a semicircle.

What is the area of this figure?

Use 3.14 for pi. Round only your final answer to the nearest tenth.

Enter your answer, as a decimal, in the box.

Answers

Q1.the given scale factor is 1:16
the area is 7 square feet
when calculating the area the scale factor is squared as well. 
since the scale factor is 16, to find out area the scale should be squared that is,
16*16 = 256

then the new area is 7 square feet * 256 
actual area = 256 * 7 = 1792 square feet 
Q2. the rectangle with length 6 inches and width 3 inches. 
the perimeter of the rectangle before changing dimensions are;
=(6*2) + (3*2) 
= 12 + 6 = 18 inches
after multiplying the dimensions by 8,
new length = 6*8 = 48 inches
new width = 3*8 = 24 inches 
new perimeter = (48*2) + (24*2)
                        = 96 + 48 
                        = 144 inches
the perimeter ratio from new to old = 144:18
the perimeter has increased by (144/18) times
= 144/18 = 8
answer is perimeter increased by a factor of 8

q3) 
area of the triangle 
= 1/2 * height * base
= 1/2 * (5-2) *(4-(-3))
= 1/2 * 3 * 7
= 10.5 units²
area of semicircle 
=pi*r2
r = 2-(-1.5)
 = 3.5
area = 3.14 * (3.5)²
        = 38.465 units²
total area = area of triangle + area of semicircle 
               = 10.5 + 38.465
              = 48.965
round it off to the closest tenth
              area = 49 units²

If Chloe has $3,200 in weekly sales, she will earn more money with

Answers

the correct question in the attached figure

we know that
weekly sales------------> $3200
8% weekly sales--------> 0.08*3200=$256
Option 1---------> salary=$600 per week
Option 2---------> salary=$350+$256=$606 per week
Option 2> Option 1
then
she will earn more money with the option 2

the answer part A) is option 2

Part B) 
If x represents Chloe’s weekly sales
equation option 1---------> 600
equation option 2---------> 350+0.08*x

the equation can be used to determine which option will benefit her the most is making the two options equal
600= 350+0.08*x

the answer Part B) is 600= 350+0.08*x

Part C)
she will earn more money with Option 1 when 
600 > 350+0.08*x------------> (600-350) > 0.08*x-------> 250 > 0.08*x
250/0.08 > x------> 3125 > x---------> x < $3125

the answer Part C) is x < $3125

The sales tax in New York is 8.25%. About how much will a $65.95 of shoes cost, including sales tax? A) $84 B)$7 C)$73 D)$59

Answers

65.95(1.0825)= 71.39
The shoes would cost about $73.

what is the product? 4k+2/k^2-4*k-2/2k+1

Answers

[tex]\bf \cfrac{4k+2}{k^2-4}\cdot \cfrac{k-2}{2k+1}\implies \cfrac{2(2k+1)}{k^2-2^2}\cdot \cfrac{k-2}{2k+1}\implies \cfrac{2\underline{(2k+1)}}{\underline{(k-2)}(k+2)}\cdot \cfrac{\underline{k-2}}{\underline{2k+1}} \\\\\\ \cfrac{2}{k+2}\cdot \cfrac{1}{1}\implies \cfrac{2}{k+2}[/tex]

Rosalie wants to get the entire outside of a cabinet laminated. The cabinet is 3 feet long, 2 feet wide and 5 feet high. The cost of lamination is $2 per square foot. How much will it cost Rosalie to get the cabinet laminated?

Answers

The first thing you should do in this case is find the surface area of the cabinet.
 We have then that the surface area is:
 A = 2 * ((l) * (w)) + 2 * ((l) * (h)) + 2 * ((h) * (w))
 Where,
 l: long
 w: width
 h: high
 Substituting the values:
 A = 2 * ((3) * (2)) + 2 * ((3) * (5)) + 2 * ((5) * (2))
 A = 62 feet ^ 2
 The cost of lamination is $ 2 per square foot:
 So:
 (62) * (2) = $ 124
 Answer:
 it will cost $ 124 Rosalie to get the cabinet laminated

To laminate the cabinet, the total surface area is calculated and multiplied by the cost per square foot. The cabinet has a surface area of 62 square feet, and with a lamination cost of $2 per square foot, it will cost Rosalie $124.

To calculate the cost for laminating the outside of a cabinet, we first need to find the total surface area to be laminated. Since the cabinet is a rectangular prism, we can use the surface area formula for a rectangular prism: Surface Area = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. In this case, l = 3 ft, w = 2 ft, and h = 5 ft.

Surface Area = 2(3 ft)(2 ft) + 2(3 ft)(5 ft) + 2(2 ft)(5 ft)
Surface Area = 2(6) + 2(15) + 2(10)
Surface Area = 12 + 30 + 20
Surface Area = 62 square feet

Now to find the total cost, we multiply the surface area by the cost per square foot: Total cost = Surface Area times Cost per square foot.
Total cost = 62 sq ft times $2/sq ft
Total cost = $124

Therefore, it will cost Rosalie $124 to get the cabinet laminated.

Explain why 0.04 divided by 3.6 has the same answer as 4 divided by 360

Answers

If you put a decimal place 2 places to the left of 4, you get 0.04. The same is with 360 and 3.6. Put a decimal two places to the left of 360, you get 3.6. That is why. 
Hope that helped

Orlando bought a new couch for 2,736 , using the furniture store's finance plan. He will pay $114 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?

Answers

y = the money Orlando still owes
x = the number of months (from x = 0 to x = 24)
y = 2,736 - 114x

You can substitute any number between 1 and 24, and it will show how much Orlando continues to owe throughout the payment process. 

Leyla drops a penny from a height of 150m.
How long will it take for the penny to hit the ground? Round to the nearest tenth of a second.

Answers

Asked and answered elsewhere.
https://brainly.com/question/9071599

Answer:

5.5

Step-by-step explanation:

3.8 is misinformation

i really need help please :)

Answers

Numerous web sites and videos stand ready to show you how to construct a bisector. It is far easier to get help from one of those than here.

The basic idea is that you set your compass to have a distance somewhat greater than half the distance between the points you want to bisect. (Setting it to approximately their distance apart works pretty well.) Then you make arcs on either side of the line between the points.

Use the same compass setting to make arcs from both the points you want to bisect. The arcs should be drawn so they have points of intersection. The line between those intersection points is the bisector of the segment (and figure) between the given points.

That process of drawing the arcs and using a straightedge to connect their points of intersection constitutes the construction you are asked to do.

In (3), the point S is where your bisector crosses the given curve.

In (4), the two bisectors of AB and BC will be expected to cross each other at approximately the midpoint between A and C.

BRAINIEST WILL BE GIVEN------ University Law School accepts 2 out of every 15 applicants.  If the school accepts 180 students, find how many applicants they received. 

Answers

2 out of 15
2/15=180/x
cross multiply
180*15=2*x
2700=2x
x=1350

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of applicants received by University Law School.

Step 2: Set up an equation based on the information given.

"University Law School accepts 2 out of every 15 applicants. If the school accepts 180 students, find how many applicants they received"

[tex] \frac{Accepted \; application}{Applied \; applicants} =\frac{2}{15} =\frac{180}{x} [/tex]

Step 3: Solving the equation

[tex] \frac{2}{15} =\frac{180}{x} \\ Cross \; Multiply\\ \\ 2x=15(180)\\ 2x=2700\\ Divide\; by\; 2\; on\; both\; sides\\ \\ \frac{2x}{2} =\frac{2700}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ x=1350 [/tex]

Conclusion:

The number of applicants received by University Law School is 1350.

If the polygon shown below is a regular nonagon what is the value of x?

Answers

The sum of the measures of the angles of a polygon is given by (n - 2)(180), where n is the number of sides.  In this case we would have (9-2)(180)=7(180)=1260.  This is the sum of the angles.  Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent.  Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9.  1260/9=140.  x forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to x would give us 180.  Therefore we find x by subtracting 180-140. x = 40.

The measure of angle x is 40 degrees and this can be determined by using the formula of the sum of interior angles of a polygon.

Given :

A regular nonagon.

The sum of interior angles of a polygon is given by the equation:

= (n - 2)180   --- (1)

where 'n' is the total number of sides of the polygon.

Given that the polygon is the regular nonagon that means the total number of sides is 9.

Now, substitute the value of 'n' in the equation (1).

= (9 - 2)180

= [tex]1260^\circ[/tex]

Now, divide the above expression by 9 in order to get the value of one interior angle.

[tex]= \dfrac{1260}{9}[/tex]

= [tex]140^\circ[/tex]

Now, the sum of one interior angle and the angle x is equal to 180 degrees that means:

140 + x = 180

x = [tex]40^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/19237987

The pair of points is on the graph of an inverse variation. Find the missing value. (1.6, 6) and (8, y) 0.03 30 1.2 0.83

Answers

one may note that (1.6 , 6)  is just another way to say x = 1.6 when y = 6.

and that (8 , y) is another way to say x = 8 and y is who knows.

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \textit{we know that } \begin{cases} x=1.6\\ y=6 \end{cases}\implies 6=\cfrac{k}{1.6}\implies 6(1.6)=k\implies 9.6=k \\\\\\ \qquad therefore\qquad \boxed{y=\cfrac{9.6}{x}} \\\\\\ \textit{when x = 8, what is \underline{y}?}\qquad y=\cfrac{9.6}{8}[/tex]

Answer: 1.2

Step-by-step explanation:

The formula for inverse variation  is given by :-

[tex]x_1y_1=x_2y_2[/tex]

The given points : (1.6, 6) and (8, y)

It means at x = 1.6 , y=6 .

To find the value of y at x=8 , we substitute [tex]x_1=1.6,\ y_1=6\, \text{ and}\ x_2=8,\ y_2=y[/tex] in the above formula , we get

[tex]1.6\times6=8y\\\\\Rightarrow\ y=\dfrac{1.6\times6}{8}\\\\\Rightarrow\ y=1.2[/tex]

Thus, the missing value = 1.2

Select all that apply.

(xyz)2 = _____

The expression without exponents is?

xyz⋅xyz
x•x•y•y•z•z
x2 •y2 •z2
xy•xy•xy

Answers

xyz·xyz i hope the answer is right

Answer:

xyz⋅xyz

x•x•y•y•z•z

Step-by-step explanation:

Select all that apply.

(xyz)2 = _____

The expression without exponents is?

xyz⋅xyz

x•x•y•y•z•z

x2 •y2 •z2

xy•xy•xy

Odyssey

A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a storage container for the prism that has a volume of 35 cubic centimeters. What is the difference between the volume of the prism and the volume of the storage container?

Answers

First we must find the volume of the rectangular prism.
 We have then:
 V = (l) * (w) * (h)
 Where,
 l: long
 w: width
 h: height
 Substituting the values we have:
 V = (2 1/2) * (2 1/2) * (5)
 V = 31.25 cm ^ 3
 The difference between the container and the prism is:
 35-31.25 = 3.75 cm ^ 3
 Answer:
 the difference between the volume of the prism and the volume of the storage container is:
 3.75 cm ^ 3

A jar of dimes and quarters contains $15.25. there are 103 coins in all. how many quarters are in the jar?

Answers

61 quaters
fa;skhdkjfdljiofofjk;anddada
Other Questions
In a linear programming graph, the best (optimal) solution always occurs at a point called what? if 4-(1/x)=(3/x) what is x Imagine a root of a cotton plant growing in the upper horizon of an irrigated soil in california's imperial valley. as the root attempts to draw water molecules from this soil what forces (potentials) must it overcome? if this soil were compacted by a heavy vehicle, which of these forces would be most affected? Don is a contractor surveying the progress on a home being built. although the frame isn't complete, he can still get a sense of what it will look like. this illustrates the principle of _____. Why did Japan outlaw Christianity in 1640? Does anybody know why I keep losing brainiest answers and am now ambitious instead of a virtuoso? Three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 5.55-v battery, which charges the capacitors. the charging process involves 3.45 10-4 c of charge moving through the battery. find the capacitance of each capacitor. help me please !!!!!!! Yesterday you walked 1/3 mile .today you walked 1/2 mile. How far did you walk in those two days? "intense, unexpected suffering passes more quickly than suffering that is apparently bearable; the latter goes on for years and without our noticing, eats away at our soul" The writer uses __A) PersonificationB) HyperboleC) A simileD) A metaphor writing or publishing comments that hurt a person's reputation (word for definition) According to the article, what happens to teenagers who get insufficient sleep? Its always nice to see Bella shes such a ....... of sunshine Water has a high heat capacity. what does this term mean? water has a high heat capacity. what does this term mean? water provides excellent insulation for the body. water is relatively resistant to an increase in temperature. water provides a useful source of stored kilocalories. water heats up or cools down readily. Which best explains the economic benefits of building a smaller courthouse instead of a larger one? Dileep is describing a (blank) in Tom Sawyer Why did france's entry into war with austria in 1792 have an immediate radicalizing effect on the revolution? h(t)=50 5 t h(35)=? According to the myers-briggs type indicator, a person who is outgoing, social, and assertive is said to be a(n) ________ type. plz help me i need help weth theseWhat was one reason that the Radical Republicans in Congress opposed President Andrew Johnsons Reconstruction plan?A.It did not require the Southern states to grant voting rights to former slaves.B.It favored the wealthy plantation owners from the South.C.It proposed harsh conditions that would anger the South.D.It readily granted amnesty to Confederate military leaders.E.It did not provide housing and food to poor white Southerners.