Mathematics High School


List the first five terms of each of the following geometric sequence.

A_1 = 10; r = 5

Answers

Answer 1
10, 50, 250, 1250, 6250

Related Questions

PLEASE I NEED MAJOR HELP (PICTURE IS DOWN BELOW)

Answers

26. 

You simply read the table on this one
Hi! :)

To solve this problem, you need to put it into a proportion. 

Since you want to find how many high school students will have an art major out of 1,000 people, you will want to find the current ratio of art majors to all majors, so we can solve the proportion. 

Add all the values together. 

26+24+16+21+18+20= 125

26/125 <-- art majors over all majors 

[tex] \frac{26}{125} = \frac{x}{1000} [/tex]

Cross multiply. 

125*x= 1000*26

125*x= 26,000

x= 208

208 out of the 1,000 students will most likely want to pursue an art major. 

Hope this helps!

Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model the situation, then find the value of the car in 2018

Answers

The formula for exponential decay is 
[tex]y=a(1-r)^{x} [/tex]

where  a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 .  2018-2012 = 6 years)

[tex]y=28750(1-0.12)^{6} [/tex]

y ≈ 13351.62

Value of the car in 2018 after depreciation by 12% each year is equals to $13351.5

What is exponential decay?

" Exponential decay is the decrease in the value of the product at a constant rate over a period of time interval."

Formula used

y = a (1 - r)ⁿ

a = Initial value

r =rate of depreciation

n = time

y = exponential function

According to the question,

Cost of new car 'a' = $28750

Rate of depreciation 'r' = 12%

2018 - 2012 = 6years

n = 6

Substitute the given values in the formula we get,

Exponential function

    y = 28750 [1 - (12 / 100)]⁶

⇒ y = 28750 ( 1 - 0.12)⁶

⇒ y = 28750 ( 0.88)⁶

⇒ y = 28750 (0.4644)   ( up to four decimals)

⇒ y = $13351.5

Hence, value of the car in 2018 after depreciation by 12% each year is equals to $13351.5

Learn more about exponential decay here

https://brainly.com/question/2193799

#SPJ2

Ben is repacking a 45-pound bag of rice into 8 smaller bags. How much rice is going to be in each smaller bag/11008924/c50ec7f7?utm_source=registration

Answers

8 bags = 45 pound.
1 bag = 45 ÷ 8
1 bag = 5.625 pound

------------------------------------------------------------
Answer: 1 bag = 5.625 pound of rice
------------------------------------------------------------

Please help thank you!

Answers

14 x 4.5 = 63m^2

answer is B

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

I agree with the 14x all right, but the remainder of the other part is 178. I'm going to recheck my answer. I'm not confident about using synthetic division for this question. It is 57 years since I did something like this. If I was more confident, I would list the results of synthetic division because it is much easier to show than long division. I'm saying the answer should be 14x + 178.

we are given

[tex]\frac{3x^6-19x^4-4x^3-24x^2+2x+178}{-2x^2-6}[/tex]

we can use long division method to divide it

so, we get

[tex]Quotient=-\frac{3x^4}{2}+14x^2+2x-30[/tex]

[tex]Remainder=14x-2[/tex]...........Answer


The table shows the snack preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred the potato chips or pretzels? Fruitsnacks/9 shoppers, Potatochips 12 shoppers, Apple 3 shoppers, pretzels 14 shoppers, Water 12 shoppers ---> are the answers for the question---> A. one over five B. thirteen over twenty-five C. one over ten D. eighteen over twenty five

Answers

the answer is A !!!!!!!!!!!! !!!!!!!!!!!! !!!!!!!!!!!! !!!!!!!!!!!! !!!!!!!!!!!!

Two planes start from the same airport and fly in opposite directions. the second plane starts 1/2 hour after the first plane, but its speek is 50 miles per hour faster. find the air speed of cach plan, if 2 hours after the first plante departs, the plans are 2000 miles apart

Answers

First plane
t = 2 hours.
r = r

Second plane
t = 1.5 hours
(30 minutes = 1/2 hour. the second plain has been in the air 2 - 1/2 hour = 1.5 hours. )
r = r + 30

Equation
2 * r + 1.5(r  + 50) = 2000
2r + 1.5r + 75 = 2000
3.5r = 2000 - 75
3.5r = 1925 
r = 1925 / 3.5
r = 550

the first plane was going 550 mph
the second plan was going 600 mph

Simplify the expression. w5(w2)–4

Answers

Hello there!

By simplifying this expression, we would first have to (find the roots which would be polynomial).

We would have to find the the polynomial root of [tex] \boxed{F(w) = w7-4}[/tex]

After resolving this, we would then have to find the leading coefficient and also the trailing constant.

[tex]LC \Longrightarrow[/tex] = (1)
                _________
[tex]TC \Longrightarrow[/tex] = (1,2,4)

This would be the result of the simplification of this expression listed above.

Therefore, your correct answer would be [tex]\boxed{w^7-4}[/tex]

I hope this helps you!

Answer:

[tex]\frac{1}{w^{3} }[/tex]

Factor the common factor out of 8x3 + 12x.

Answers

Hello there!

The factor of this is 4x(2x² + 3)

So the common factor is 4x


I hope this helps~!

As always, it is my pleasure to help students like you.

A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag. Which of the following represents the probability of selecting a red, blue, yellow, or green marble
A) 0.8
B) 0.7
C) 0.9
D) 0.6

Answers

the answer will be
[tex] \frac{4}{5} = 0.8[/tex]
hope this helps

Answer:  The correct option is (A) 0.8.

Step-by-step explanation:  Given that a  large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag.

We are to find the probability of selecting a red, blue, yellow or green marble.

Let n be the number of each color of marbles in the bag.

That is, the number of red, orange, yellow, blue, and green marbles, each equals n.

Let S denote the sample space of selecting a marble from the bag and A denote the event of selecting a red, blue, yellow or green marble.

Then, we have

n(S) = n + n + n + n + n = 5n,

n(A) = n + n + n + n = 4n.

Therefore, the probability of event A is given by

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{4n}{5n}=\dfrac{4}{5}=0.8.[/tex]

Thus the required probability selecting a red, blue, yellow or green marble is 0.8.

Option (A) is CORRECT.

John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours. Explain each step in solving this equation.

Answers

the complete question is
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours.How long will it take both to fill the pool? Explain each step in solving this equation.

we know that
John can fill the pool in --------------> 5 hours
therefore
I calculate the amount of pool that John fills in one hour
if John can fill 100% of the  pool in----------------> 5 hours
X--------------------------------------> 1 hour
X=1/5=0.20 pool/hour

Matt  can fill the pool in --------------> 10 hours
therefore
I calculate the amount of pool that Matt  fills in one hour
if Matt can fill 100% of the  pool in----------------> 10 hours
X--------------------------------------> 1 hour
X=1/10=0.10 pool/hour

adding both amounts

(0.20+0.10)=0.30 -----------> 30% pool/hour
then
if both can fills 30% of the  pool in----------------> 1 hour
100%-------------------------------> X
X=100/30=3.33 hours----------> 3 hours + 19 minutes+ 48 sec

the answer is 3.33 hours (3 hours + 19 minutes+ 48 sec)

The equation to determine the amount of pool filling (y) according to time (t) in hours is given by

y=0.30*t 

find A if 17th and 18th terms in the expansion of (2+A)^50 are equal.

Answers

The 17th term is 50C16*2^34*a^16
The 18th term is 50C17*2^33*a^17

The ratio of these two terms is (17th term)/(18th term) = 1/a. We want the value of this to be 1, so
.. A = 1

_____
My calculator says
.. 50C16 = 4,923,689,695,575
.. 50C17 = 9,847,379,391,150
the latter being exactly 2 times the former.

A freight carrier charges $0.57 for a package weighing up to one ounce plus and additional $0.32 for each additional ounce or fraction of an ounce. A company is shipping a package weighing 224 grams. What is the weight of the package in ounces?

Answers

There are approximately 8 ounces (7.901) in 224 grams. 

Answer:

its is 8 oz 224 grams is = to 7.901

Step-by-step explanation:


Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

Answers

Hello!

You can solve this by plugging 1 into [tex] g(x) [/tex] and plugging the result into [tex] h(x)[/tex].

[tex]g(x) = 2x[/tex]
[tex]g(1) = 2(1)[/tex]
[tex]g(1) = 2[/tex]

[tex]h(x) = 2x + 4[/tex]
[tex]h(g(1)) = 2(2) + 4[/tex]
[tex]h(g(1)) = 4 + 4[/tex]
[tex]h(g(1)) = 8[/tex]

Answer:
(h ∘ g)(1) = 8

A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pir2 for surface area of a sphere.

Answers

Start with the given formula for the surface area of a sphere.

[tex] S = 4 \pi r^2 [/tex]

Now substitute 2x + 5 in for r, the radius.
Then simplify the expression and write it in standard form.

[tex] S = 4 \pi (2x + 5)^2 [/tex]

[tex] S = 4 \pi (4x^2 + 20x + 25) [/tex]

[tex] S = 16 \pi x^2 + 80 \pi x + 100 \pi [/tex]

The engine of a car has a displacement of 305 cubic inches. what is the displacement in cubic feet? round your answer to 2 decimal places.

Answers

 solution
 1 inch = 2.54 centimeters
Therefore, to convert to cubic measurements
 (1 in)³ = (2.54 cm)³
 Thus;
1 in³ = 16.387 cm³
Hence 305 cubic inches will be equivalent to
  305 × 16.387
 = 4998.035 cm³

Answer:

0.18 cubic feet (in 2 decimal places)

Step-by-step explanation:

The relationship between the unit of measurement inches and the unit of measurement feet may be expressed mathematically as

12 Inches = 1 feet

finding the cube of both sides i.e both sides to the power of 3,

1728 cubic inches = 1 cubic feet

therefore,

305 cubic inches

= 305/1728 cubic feet

= 0.1765 cubic feet

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.

Answers

Equation 1:

[tex]|2x-4|=5[/tex]

This means:

[tex]2x-4=5[/tex] and [tex]2x-4=-5[/tex]

Simplifying both the equations we get:

x = 4.5 and x = - 0.5

Equation 2:
[tex]|3x-4|=-12[/tex]

There is no solution to this equation, as the modulus or absolute value of any expression can never be negative

Therefore, we can conclude that Equation 1 has more number of solutions that Equation 2.

Can someone please help me solve for x and y? Thank you

Answers

Answer: 
Choice D) x*y = -10

============================================

Explanation:

Multiply both sides of the first equation by 10 to clear out the fractions (10 is the LCD)
3x/5 + y/2 = 13/10
10*(3x/5 + y/2) = 10*(13/10)
6x + 5y = 13

Multiply both sides of the second equation by 100 to get each decimal value to turn into a whole number (move the decimal point over 2 spots to the right)
0.5y + 0.04x = 2.42
50y + 4x = 242
4x + 50y = 242

So we have this new system of equations which is equivalent to the original system
6x + 5y = 13
4x + 50y = 242

Multiply both sides of the top equation by 10 so that the 5y turns into 50y
6x + 5y = 13
10*(6x + 5y) = 10*13
60x + 50y = 130

Now we have this system of equations
60x + 50y = 130
4x + 50y = 242

If we subtract straight down then we have
60x-4x = 56x
50y-50y = 0y = 0 ... notice how the y terms go away effectively
130-242 = -112

The y terms go away leaving us with this simplified equation
56x = -112
Which solves to
x = -2
when we divide both sides by 56

Now use that x value to find y
6x + 5y = 13
6(-2) + 5y = 13 ... replace x with -2
-12 + 5y = 13
-12+5y+12 = 13+12 ... adding 12 to both sides
5y = 25
5y/5 = 25/5 .... dividing both sides by 5
y = 5

In summary we have x = -2 and y = 5. Therefore, x*y = -2*5 = -10 is the answer

Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a single category list the points in increasing order in x value and enter N in any blank that you don't need to use.

f(x)=9x^3−27x+9, [0,3],

Answers

First we find the critical points by taking the first derivative and setting it equal to zero. So y'=27x^2-27=27(x^2-1)=27(x+1)(x-1)=0. The critical points are x=-1 and x=1. But we have a closed interval here and x=-1 is not in that interval. We must check the values of the endpoints and x=1, the critical point. We substitute those back into the original and get y(0)=9, y(1)=9-27+9=-9 and y(3)=9(3)^3-27*3+9=171. When it asks for values, it is asking for y values. The absolute minimum is -9 and the absolute maximum value is 171.

A slice is made parallel to the base of a triangular pyramid. What is the shape of the resulting two-dimensional cross-section? Drag and drop the word to correctly complete the sentence. The cross-section is in the shape of a . rectangletriangletrapezoid

Answers

The answer is a triangle because if a pyramid is cut in half you get two triangles. I believe this is the correct answer but i'm not entirely 100%

Thank you for posting your answer at Brainly! Feel free to ask some more questions!
Hello there,
Your answer is Triangle
This is your answer becuase if you split a pyramid in half you will  get two Identical triangle shapes.
Hope this has helped :)

Solve for x.
[tex]cos x= \frac{ \sqrt{3} }{2}[/tex]

A: 0.15°
B: 0.87°
C: 30°

Answers

the answer is 30° because the unit circle says that
[tex] \frac{ \sqrt{3} }{2} = 30[/tex]

Help me solve this math problem

Answers

You have not asked a question.

If you want the graph of f(x), perhaps it looks like this one.

algebra help please?

Answers

The answer to that is -1.89041096 - 4.95890411 i
i/1+13i is simplified form

Wyatt's dog is tethered to a post in his yard. If the rope tied to the dog is 12 feet long, how many square yards does the dog have access to? (Use 3.14 for π.)

https://clackamasweb.owschools.com/media/g_mat08_ccss_2016/7/img_circle_quiz.gif
452.16 yd 2 50.24 yd 2 75.36 yd 2 25.12 yd 2

Answers

Solution:

Wyatt's dog is tethered to a post in his yard.

The rope tied to the dog is 12 feet long.

we have been asked to find

How many square yards does the dog have access to?

when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.

So Area access to dog in ft^2 [tex] = \pi r^2=\pi 12^2=144 \pi [/tex]

But it ask for area in yards, so we will have to use conversion formula

[tex] 1ft=0.33333yard [/tex]

Area access to dog in yards[tex] =144*3.14*(0.33333)^2=50.24 \ Yards [/tex]

Answer:

Wyatt's dog is tethered to a post in his yard.

The rope tied to the dog is 12 feet long.

we have been asked to find

How many square yards does the dog have access to?

when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.

So Area access to dog in ft^2  

But it ask for area in yards, so we will have to use conversion formula

Area access to dog in yards

Step-by-step explanation:

A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first quiz also passed the second quiz?

Answers

the answer to the question is 75%

Answer:

75

Step-by-step explanation:

P(2ndquiz|1st quiz)=P(passed both quizzes)/P(1st )=0.06/0.08=0.75 that means 75%

Please help.
What are the dimensions of the matrix?
⎡1 0 9⎤
⎢-2 3 5⎢
⎢5 4 -6⎢
⎣11 5 7⎦
Enter your answers in the boxes.
The matrix is a [_] × [_] matrix.

Answers

Matrices always go row x column.

Count the rows: 4

Count the columns: 3

The matrix is a 4 x 3 matrix

The size of a matrix is defined by the number of rows and columns that it contains.

The dimensions of a matrix are the number of rows by the number of columns.

The number of rows and columns of a matrix, written in the form rows×columns.

The given Matrix has four rows and three columns,

The rows go side to side; the columns go up and down. "Row" and "column" are technical terms, and are not interchangeable.

Matrix dimensions are always given with the number of rows first, followed by the number of columns.

The matrix is a [4_] × [3_] matrix.


Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 34 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.

Answers

Volume: 39,304 cubic yards

To find the volume, you simply have to use the formula that is given. It is V = s^3.  This means you multiply the side by itself 3 times.

S x S x S = V
34 x 34 x 34 = 39304 cubic yards

A metronome uses a pendulum to keep time. The table gives the angular displacement of a pendulum as it swings back and forth. What is the period of its oscillations?

Time Angle
0.0 15.0
0.1 2.55
0.2 -14.4
0.3 -7.35
0.4 11.6
0.5 11.3

Answers

Answer: With the given information, it appears that the period of the pendulum is about 0.45 seconds.

The period is the length of one complete cycle of the pendulum. That mean that is will start positive go negative and return to positive. 

If we assume that time 0 is the start with an angle of 15  degree, then we are looking for the point in the graph where it returns to about 15 degrees.

If you create a scatter plot of the data, it would appear that it would reach 15 between 0.4 and 0.5 seconds. At 0.4 it is at 11.6, then it moves up. At 0.5, it is on it's way down at 11.3.

It is safe to assume that it reached 15 between these points to complete one period.

Use the given point on the terminal side of angle 0 to find the value of the trigonometric function indicated.
1)tan0;(10,-18)
2)tan0;(4,3)

Answers

1 is tan 0 = -18/10 = -9/5
2 is tan 0 = 3/4

In general, an angle with a terminal side on the point (x, y) the tan of that line is the fraction y/x

The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is

A 30ft to the 2
B 37.5 ft to the 2
C 65ft to the 2

Answers

Calculating the other leg:
other leg^2 = 13^2 - 5^2
other leg^2 = 169 -25
other leg^2 = 144
other leg = 12

Area = .5 * 12 *5
Area = 30 sq feet
answer is A


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