Mathematics College

Brian is playing a video game. He earns the same number of points for each star he picks up. He earns 2400 points for 6 stars, 4000 points for 10 stars, and 5,200 points for 13 stars. What is the independent and dependent value?

Answers

Answer 1
The dependent variable is the amount of points, it depends on the amount of stars collected.  The independent variable is the points each star is worth, it is worth the same no matter how many are collected. Each star is worth 400 points btw.

Related Questions

The diagram is a hat box that is designed with the shape of a regular octagon inside and a rectangle outside. Find the value of x. Please explain.

Answers

in a regular octagon all the interior angles are of the same value. 
sum of the interior angles in octagon = (n-2) *180°
n - number of sides, in this case, n = 8
interior angles sum = (8-2)*180° = 6*180° = 1080°
since there are 8 equal angles = 1080/8 = 135°
Angle x + one interior angle of the octagon = 180 ° (as its a straight line)
x + 135 = 180
x = 45°

after school, maurice walks 1/3 mile to the park and then walks 1/2 mile to his house. how far does maurice walk from school to his house?

Answers

let
x-----> distance school to the park
y-----> distance park to the house

we know that
x=1/3 mile
y=1/2 mile

[distance from school to the house]=x+y----> (1/3+1/2)
The common denominator is (3*2)---> 6
=(2*1+3*1)/(3*2)----> 5/6 mile

the answer is
5/6 miles


A manufacturer of drinking glasses ships his delicate stock in speical boxes that can hold 32 glasses. if 1714 glasses are manufactured, how many full boxes are filled? are there any glasses left over?

Answers

1714 = 53*32 +18

53 boxes are filled and 18 glasses are left over.

which will result in a diffrent of squares

Answers

 (− 7x + 4) · (− 7x − 4).
Certain factors are dominant, and othwr factors are recessive.
Punnett squares.
Each chromosome contains a single, tightly wound DNA molecule.
The result of mitosis is two identical diploid cells. The result of meiosis is four gebetically different haploid cells.

What is the slope of the line on the graph. I need help I!!!

Answers

From just looking at the graph we can already notice that the slope is gonna be a negative since the line is going downhill.

So using the Rise Over Run we can calculate the slope, from each point the slope rises 2 and runs -6 (-2/6) then simplify to -1/3

-1/3 is your slope

The room measures 8 inches by 5 inches on the blueprint. If the scale on the blueprint is 1 inch by 4 feet, what is the actual area of the room

Answers

Hi there!

To solve this problem, we need to multiply each number by 4 ft.

8×4=32
5×4=20

Now, we films the area.

32×20 = 640

The area of the room is 640 feet squared.

Hope this helps!

what does it mean by what is the name of the angle pairs formed by angle b and angle a?

Answers

Angle a and angle b are pairs of angles called the alternate angles. Alternate angles are pair of angles that is formed by two parallel lines. These two angles are not adjacent to each other. They are located on the opposite sides of the line that intersects the parallel lines.

Find the differential of the function. v = 2y cos(xy)

Answers

Given a function f(x,y), the differential of f is given by
[tex]df = f_x dx + f_y dy[/tex]
where [tex]f_x[/tex] is the derivative of f(x,y) with respect to x, while [tex]f_y[/tex] is the derivative of f(x,y) with respect to y.

The function of our problem is[tex]f(x,y)=2y \cos(xy)[/tex]
The derivative in x is
[tex]f_x = 2y(-y \sin (xy))=-2y^2 \sin (xy)[/tex]
The derivative in y is
[tex]f_y = 2 \cos (xy) + 2y (-x \sin (xy))=2 \cos (xy) - 2xy \sin (xy)[/tex]

So, the differential of f(x,y) is
[tex]df= -2y^2 \sin (xy) dx + (2 \cos (xy) - 2xy \sin (xy))dy[/tex]

The differential of the function v = 2y cos(xy) is found using the product rule and the chain rule, yielding dv = 2 cos(xy) dy - 2y sin(xy) (xdy + ydx), which accounts for changes with respect to both x and y.

To find the differential of the function v = 2y cos(xy), we'll need to apply the product rule and the chain rule. The product rule states that the differential of a product of two functions is d(uv) = u dv + v du. The chain rule is used when differentiating composite functions, and it implies that d/dx (f(g(x))) = f'(g(x)) * g'(x).

Applying the product rule, we get:

dv = cos(xy) * d(2y) + 2y *d(cos(xy)).The differential d(2y) is simply 2 dy.For d(cos(xy)), we use the chain rule and get -sin(xy) * d(xy), which further expands to -sin(xy) * (xdy + ydx) by applying the product rule again.

Combining these, the differential dv becomes:

dv = 2 cos(xy) dy - 2y sin(xy) (xdy + ydx).

This equation represents the total differential of the function v with respect to both x and y.

For implicit differentiation examples like in equation In(xy) = x2y3 or systems of differential equations, understanding and applying the product rule, chain rule, and implicit differentiation are essential to calculate derivatives and solve the equations.

A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the reduction. Write a recursive rule to find the number of members for any year.

Answers

Final answer:

To find the number of members for any year on the video sharing website, use the recursive rule with a base case of 20,000 initial members and apply the recursive step Mₙ = 0.75 × Mₙ₋₁ + 10,000 for each subsequent year.

Explanation:

The situation described can be modeled with a recursive rule where each year's membership is based on the previous year's membership.

To write such a rule, we'll use Mn to denote the number of members in year n, and Mn-1 to denote the number of members in the previous year.

The recursive rule is as follows:

Base case: M0 = 20,000 (initial number of members)Recursive step: Mₙ= 0.75 × Mₙ₋₁ + 10,000 for n > 0

This means that for any year n, the number of members is equal to 75% of the previous year's members plus an additional 10,000 new members.

New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. tomorrow it will be 23 millimeters tall, the next day it will be 24 millimeters tall. and on the next day it will be 45 millimeters tall. write a rule to represent the height of the bean plant as an arithmetic sequence. how tall will the plant be in 15 days?

A) A(n) = 16 + (n-1) 11: 194 millimeters
B) A(n) = 12 + (n-1) 11: 166 millimeters
C) A(n) = 13n: 195 millimeters
D) A(n) = 12n; 180 millimeters

Answers

Assuming that the second day the plant was 34 mm tall, B would be the correct answer.
B) A(n) = 12 + (n-1) 11: 166 millimeters

A single gram of a certain substance has 0.52 gram of copper and 0.26 gram of zinc. The remaining portion of the substance.is nickel.Ben estimated that 0.2 gram of nickel is in 1 gram of the subtance.he used this estimate the amount of nickel in 35 grams of the substance.find the result of bens estimation strategy.then find the exact amoumt of nickel in 35 grams of the subtance

Answers

we know that

the exact amount of nickel in 1 gram of substance is
1-(0.52+0.26)-------> 1-0.78------> 0.22 g

the estimate amount of nickel (Bens estimation strategy) in 1 gram of substance is----------> 0.20 g

then

Part A) Find the estimate amount of nickel in 35 grams of the substance
if 1 g of the substance--------------> 0.20 g nickel
 35 g---------------------------------> X
X=35*0.20----------> 7 g

the answer Part A) is
the estimate amount of nickel in 35 grams of the substance is 7 g


Part B) Find the exact amount of nickel in 35 grams of the substance
if 1 g of the substance--------------> 0.22 g nickel
 35 g---------------------------------> X
X=35*0.22----------> 7.7 g

the answer Part B) is
the exact amount of nickel in 35 grams of the substance is 7.7 g

a chord of length 24cm is 13cm from the centre of the circle. caculate the radius of the circle

Answers

Answer:  The radius is:  " 17.692 cm " .
_____________________________________________________
Note:
_____________________________________________________
The line segments are:   "(r + 13)" and "(r –13)" ; 

24cm / 2 = 12 ; 

(r + 13)(r–13) = 12² = 12 * 12 - 144 ; 

(r + 13)(r–13) = 144 ; 

Note:  (a + b)(c + d) = ac + ad + bc + bd ;

So:  Given:  " (r + 13)(r–13) " ; 

 →  " (r + 13)(r–13) "  =  " (r * r) + (r * -13) + (13*r) + (13* -13) " ; 

                                 =  "  r² + (-13r) + 13r + (-169) " ; 

                                 =  "  r² – 13r + 13r – 169 " ; 

                                 =  r² – 169 ; 

→  r² – 169 = 144 ; 

Add  " 169 " to each side of the equation; 

→ r² – 169 + 169 = 144 + 169 ;

to get:

→ r²  = 313  ;

Take the "positive square root" of EACH SIDE of the equation;
    to isolate "r" on one side of the equation; & to solve for "r" (the "radius") ;

→  √(r²)  =  √313 ;

→  r = 17.6918060129541325 cm. 

round to:  " 17.692 cm " .  (Do not forget the units!).
___________________________________________________ 

Compute the area of the triangle ( express answer in cm2

Height =6 cm

Base= 12cm

Answers

The formula for the area of a triangle is 1/2bh
1/2(12)(6)
1/2(72)
36cm2 is the answer.

Answer:

36 cm^2

Step-by-step explanation:

Simplify (- 5/8) divided by (-3/4)
A: 20/24
B: -20/24
C: -15/32
D: 15/32

Answers

 [tex]-\frac{5}{8} : -\frac{3}{4}= \frac{5}{8}* \frac{4}{3} = \frac{20}{24} = \bold{\frac{5}{6} }[/tex]

The answer is A  (20/24)
(-5/8) / (-3/4)


 Step 1: -5/8 · 4/-3 


Step 2: -5 · (-4)
             ______             
               8 · 3   


Step 3: 20/24


Answer: 5/6

Your answer is 5/6                                       


Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')

An after school club is building a clubhouse that has a rectangular floor that is 8 feet by 6 feet. What is the total floor area in square inches of the clubhouse?

Answers

The area of the school club would be 48. The answer is 48 because 6 x 8 is 48 and area = length x width. Have a great day and I hope I could help you!
48 is the final answer! :)

Angle A=11x-4, Angle B = 4x-11, and Angle C=63-4x. List the sides of triangle ABC in order from shortest to longest.
A. AB, AC, BC
B. AC, AB, BC
C. BC, AB, AC
D. AB, BC, AC

Answers

1. The sum of of the interior angles of a triangle is 180°.

 2. Keeping this on mind, you have:

 A+B+C=180

 A=11x-4
 B = 4x-11
 C=63-4x

 3. When you substitute these values, you obtain:

 A+B+C=180
 11x-4+4x-11+63-4x=180
 11x+48=180
 11x=180-48
 11x=132
 x=132/11
 x=12

 3. Therefore:

 A=11(12)-4
 A=128°

 B = 4(12)-11
 B=37°

 C=63-4(12)
 C=15°

 5. The answer is:

 A. AB, AC, BC

Martin needs 60 meters of fence to go around a rectangular garden.
The length, l, of the garden is twice its width w.
Three of these equations give the correct value for w.

Which equation does NOT?



2 • w + 2 • 2w = 60


2 • (2w + w) = 60


w + 2w = 60


w + 2w + w + 2w = 60

Answers

w + 2w = 60 would be your answer.

Answer:

w + 2w = 60

Step-by-step explanation:

w + 2w = 60

This equation will not give you the correct value for W because W is the siez or represents the size of the smaller side, since you have 4 sides, 2 small and 2 big, the sum of this 4 sides will be the perimeter, or the total meters of fence needed, since the total meter of fence need is 60 and in the equation you just have 2 sides, the value for W will be double than the real.

Some one help me with this question!

One of the halves on the Hoover Dam releases 40,000 gallons of water per second. What is the rate, in gallons per minute?

Answers

If 40,000 gallons / second is coming out, we can determine the flow rate in gallons / minute by multiplying 40,000 by 60 seconds / minute

40,000 gallons / second * 60 seconds / minute = 2,400,000 gallons / minute

This way, the seconds cancel out and we are left with 2,400,000 gallons / minute

If A2 = I, where I is the identity matrix, which matrix correctly represents matrix A?

Answers

We know that [tex] \boldsymbol{A^2}=\boldsymbol{A\times A} [/tex]

We also know that [tex] \boldsymbol{I}=\begin{bmatrix}
1 &0 \\
0&1
\end{bmatrix} [/tex]

Now, it has been given to us that [tex] \boldsymbol{A^2}=\boldsymbol{I} [/tex]

Therefore, we will have to find the correct [tex] \boldsymbol{A} [/tex] from the given options and we find that when:

[tex] \boldsymbol{A}=\begin{bmatrix}
3 &-2 \\
4&-3
\end{bmatrix} [/tex]

then [tex] \boldsymbol{A^2}=\boldsymbol{A\times A}=\begin{bmatrix}
3 &-2 \\
4&-3
\end{bmatrix}\times \begin{bmatrix}
3 &-2 \\
4&-3
\end{bmatrix}=\begin{bmatrix}
1 & 0\\
0 & 1
\end{bmatrix} [/tex]

Therefore, from the above given options, Option C is the correct option.

Therefore, [tex] \boldsymbol{A}=\begin{bmatrix}
3 & -2\\
4 & -3
\end{bmatrix} [/tex] is the correct answer.

Answer:

C. [3, -2]

    [4, -3]

Step-by-step explanation:

PLATOOOO

How many 4-sequences on {0..9} do not begin with 0?

Answers

I take a [tex]n[/tex]-sequence to mean any permutation of the digits 0-9 of length [tex]n[/tex]. Furthermore, I'm assuming no number can be repeated.

If that's the case, then for any 4-sequence, the first digits place (leftmost) has 9 possible choices (1-9). Once that number is used up, we have 9 numbers left in the pool of digits, from which we select a 3-sequence. The number of possible 3-sequences would be [tex]\dfrac{9!}{3!}=60,480[/tex]. Multiply this by 9 (to account for the first digit's possibilities) and we get a grand total of [tex]\dfrac{9\times9!}{3!}=544,320[/tex] possible 4-sequences on [tex]\{0,\ldots,9\}[/tex].

There are 9000 possible 4-sequences that do not begin with the digit 0.

The question asks how many 4-sequences on the set {0..9} do not begin with 0. To solve this, we need to consider the number of possible options for each of the four positions in the sequence, knowing that the first digit cannot be 0.

For the first position, there are 9 options (1-9), since 0 is not allowed. For the next three positions, each can be any of the 10 digits (0-9), since there are no restrictions. Thus, the total number of such sequences is the product of the number of options for each position.

9 options (1st position) x 10 options (2nd position) x 10 options (3rd position) x 10 options (4th position) = 9 x 10 x 10 x 10 = 9000.

So, to find how many 4-sequences do not begin with 0, multiply the number of choices for each position: 9 (first position, cannot be 0) x 10 (second position) x 10 (third position) x 10 (fourth position), resulting in 9000 such sequences.

a rectangular prism has a volume of 175 in3. The height of the prism is 7 in. The base is a square. What is the length of a side of the base?

Answers

Hey there!

First, divide 175 by 7. You get 25. Since a sqaure has all equal sides, sqaure root 25. You get 5. The length of a side of the base is 5 inches. To check our work, multiply length times width times height. 5 x 5 x 7 =175. This is the volume. This confirms that the answer is 5 inches.

I hope this helps!

solve the system of equations 6X + 5 y equals 55 + 6 x + 5 y equals 60

Answers

6x+5y=55+6x+5y
-5y. -5y
6x. =55+6x
-6x. -6x
0=55


no solution
No solution there is no solution

Write the following decimal number in its equivalent fraction form. Show all work for full credit.
0.8(repeating)

Answers

Let x=0.8888... 

x=0.8888 Start with the given equation 

10x=8.8888 Multiply both sides by 10. The goal is to move the decimal point to the next repeating portion (which is just one spot to the right) 



 Now subtract the equation x=0.8888 from 10x=8.8888 to get 
10x-x=8.8888-0.8888 

9x=8 Combine like terms. Notice how the decimal portions cancel out. 

x=8/9 Divide both sides by 9 to isolate x 

So the answer is x=8/9 which means that 8/9=0.8888 (where the 8's repeat)
 
Final answer:

To write the decimal number 0.8(repeating) as a fraction, use the concept of an infinite geometric series and convert it to an equation. Multiply both sides of the equation by 10 to eliminate the decimal point and subtract the original equation to eliminate the repeating part. Finally, divide by 9 to get the equivalent fraction form.

Explanation:

To write the decimal number 0.8(repeating) as a fraction, we can use the concept of an infinite geometric series. Let's assume the repeating decimal as x: x = 0.8(repeating). Now, multiply both sides of the equation by 10 to remove the decimal point: 10x = 8(repeating). Next, subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 8(repeating) - 0.8(repeating). Simplifying these expressions gives us: 9x = 7.2. Finally, divide both sides of the equation by 9: x = 7.2/9. Therefore, the equivalent fraction form of 0.8(repeating) is 7.2/9.

solve the system of equations by substitution y=5x-13 and 5x+2y=19

Answers

y = 5x - 13 ----------- (1)
5x + 2y = 19 --------- (2)

Sub (1) into (2):

5x + 2(5x -13) = 19
5x + 10x - 26 = 19
15x = 19 + 26
15x = 45
x = 3 -------- sub back into (1)
y = 5(3) - 13
y = 15 - 13
 y = 2

Ans: x = 3, y = 2

Assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 5.55.5 per year.
a. find the probability​ that, in a​ year, there will be 44 hurricanes.
b. in a 5555​-year ​period, how many years are expected to have 44 ​hurricanes?
c. how does the result from part​ (b) compare to a recent period of 5555 years in which 88 years had 44 ​hurricanes? does the poisson distribution work well​ here?

Answers

We are given 
λ = mean = 5.5 hurricanes  per year 
and Poisson distribution applies.

P(k, λ ) = λ ^k * e^(- λ ) / k!

a) 4 hurricanes in a year 
P(4,5.5)=5.5^(4)*e^(-5.5)/4!
=0.1558

b) In 55 years, the expected number of years with 4 hurricanes
= 55*0.1558 = 8.57,   could be rounded to the nearest integer, 9.

c) Records show that in 55 years had 8 years had 4 hurricanes each year.
This compares very closely with the expected number 8.57.

I need help on this one.

Answers

we have that
6-3+4x+1-----------> Group terms 
(6-3+1)+4x
(3+1)+4x
4+4x

this is the equation of a line f(x)=4x+4
the domain is the interval (-∞,∞)
there are infinitely solutions for x---------> see the attached figure

If the side length of a square pyramid is triple and the slant height is divided by 5 what would be the formula to find the modified surface area

Answers

If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)

Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)

_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')

what dose a right angle look like ?

Answers

like a corner of a square

A right angle looks like the corner of a book, folder, or your phone. It kind of looks like an “L”.
I hope this helped! ;-)

what is the exact volume of this cylinder? 4in 8in

Answers

The volume of the cylinder is; 128π in3

Base area(πr^2)*height

Π = 3.14

Therefore; 3.14 * 4^2 * 8

3.14 * 128

= 401.92 in3


Helpp! Find the area. The figure is not drawn to scale. https://courses.jmhs.com/content/enforced/8012-MA042_20_1/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_10_files/mc001-1.jpg?_&d2lSessionVal=vtelKg4rpW3IHn6Wnb7kcJRAw

A 56.24 cm2
B 3.9 cm2
C 11.3 cm2
D 28.12 cm2

Answers

You have to choose the leter c
the answer is d 28.12
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