The equation y = 10x + 15 models the amount of money y, in dollars, that Jack earns shoveling snow for x hours. How many hours does Jack need to work to earn $55?

The Equation Y = 10x + 15 Models The Amount Of Money Y, In Dollars, That Jack Earns Shoveling Snow For

Answers

Answer 1
The given equation is:

y = 10x + 15

We need to find the number of hours Jack needs to work to earn $55, which means we need to solve for x when y = 55.

So, we substitute y = 55 into the equation and solve for x:

55 = 10x + 15

Subtracting 15 from both sides, we get:

40 = 10x

Dividing both sides by 10, we get:

x = 4

Therefore, Jack needs to work for 4 hours to earn $55.

Related Questions

if a spinner has 2 blue, 2 green and 2 red what is the probability of landing on red when it is spinned

Answers

The probability of landing on red is given by the number of red sections divided by the total number of sections. In this case, there are 2 red sections out of a total of 6 sections. Therefore, the probability of landing on red is:

P(red) = 2/6 = 1/3

So the probability of landing on red is 1/3.

Hey I was wondering if anyone can help me solve this and maybe graph it to.
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.

Answers

The equation of the circle is determined as (x + 3)²  + (y - 9)² = 25.

What is the equation of the circle?

The equation of the circle is calculated as follows;

For the equation;

y = 3/4x+5

Slope = 3/4,  the slope of the line perpendicular to the line = -4/3.

it is pass through the (0, 5).

The equation of the line: y - 5 = -4x/3

For the equation;

3x + 4y = 38

4y = -3x + 38

y = -3x/4 + 38

slope = -3/4, the slope of the line perpendicular to the line = 4/3

it is pass through the (6, 5)

The equation of the line: y - 5 = 4/3(x - 6)

Solve the two equations together to find the point of intersection;

(-4/3)x + 5 = (4/3)(x - 6) + 5

-4x/3 = 4x/3 - 8

8x/3 = -8

8x = -24

x = -3

y - 5 = -4x/3

y - 5 = -4(-3)/3

y - 5 = 4

y = 9

The center of the circle = (-3, 9)

The radius of the circle is calculated as;

r = √ (-3 -0)² + (9 - 5)²

r = √(9 + 16)

r = 5

The equation of the circle becomes;

(x - a )² + (y - b)² = r²

(x + 3)²  + (y - 9)² = 5²

(x + 3)²  + (y - 9)² = 25

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Please help!!!!!!!!!!!
Solve for X
Find the measure of each angle using the solution to part C

Answers

X=19, the app says that my answer needs to be at least 20 characters so I’m adding words.

8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False

Answers

Answer:

FALSSOO

Step-by-step explanation:

lol srry I pretty sure its false I did teh math

Hope its right and it helps! c:

in the figure below, m JKM=106 degrees, m LKM=66, and KN bisects LKM. Find m JKN

Answers

The value of angle JKN is 73°.

Given that the m ∠JKM = 106 degrees, m ∠LKM = 66, and KN bisects LKM.

So we need to find the value of ∠JKN,

So, using the angles addition postulate,

∠LKM = ∠LKN + ∠MKN

Therefore,

∠LKN = 66/2 [definition of bisector]

∠LKN = 33°

Again, using the angles addition postulate,

∠JKM = ∠JKL + ∠LKM

∠JKL = 106 - 66

∠JKL = 40°

Therefore,

∠JKN = ∠JKL + ∠LKN

∠JKN = 40 + 33

∠JKN = 73°

Hence, the value of angle JKN is 73°.

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On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?

Answers

Answer:

78°F

Step-by-step explanation:

If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:

75.5°F + 6°F = 81.5°F

If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:

81.5°F - 3.5°F = 78°F

Therefore, the temperature on Monday was 78°F.



Jazmine has 3 dogs She wants to give each dog 2 treats. How many treats does she need to have total?

Answers

She needs to have 6 treats

Answer:  6

Step-by-step explanation:

you just get those numbers and times them 3 times 2 is 6

what are the answers to these questions?

Answers

a) The function of h in terms of r is h=1400/(πr²).

b) The surface area of the can in terms of r is 2800/r+2πr².

c) The corresponding values of r and h that minimize the amount of required material are r≈14.04 cm and h≈2.98 cm.

a) The volume of a cylinder is given by

V = πr²h.

In this case, the volume of the can is

1400 cm³

So we have

1400 = πr²h.

Solving for h, we get

h = 1400/(πr²).

b) The surface area of a cylinder is given by

A = 2πrh+2πr².

Using the expression we obtained for h in part (a), we can substitute it in the equation and get

A = 2πr(1400/(πr²))+2πr²

= 2800/r+2πr².

c) To minimize the amount of required material, we need to find the value of r that minimizes the surface area.
To do this, we take the derivative of the surface area expression with respect to r and set it equal to zero:

dA/dr = -2800/r²+4πr = 0.

Solving for r, we get

r = √(700/π), which is approximately 14.04 cm.

Substituting this value in the expression for h that we obtained in part (a), we get

h = 1400/(π(14.04)²), which is approximately 2.98 cm.

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please help with these questions it's due tommore​

Answers

7:

To find 6% of 45.50=

0.06x45.50= 2.73

and than 17% of 45.50

0.17x45.50= 7.735

so add 2.73 and 7.735= 10.465

than add 10.465 to $45.50 = $55.965 So the answer is $55.965.

8:

again the same thing but with the different numbers.

0.06x105.75= 6.345

0.20x105.75= 21.15

21.15+6.345= 27.495

so than 105.75-27.495= $78.255

9:

same thing again

146.75x0.25= 36.6875

0.09x146.75= 13.2075

But this time add the tax (13.2075)= 146.75+13.2075= 159.9575

but than you subtract the discount which is 25% so 159.9575-36.6875=123.7

So that is the price! $123.7

I hope that helps!

Find the length of the missing side

Answers

Answer:

x = 45°

Because there are 180° in a triangle

f(x)=x^3-3x^2+2x+2. find f(-x).

Answers

Answer:Therefore, f(-x) = -x^3 - 3x^2 - 2x + 2.

Step-by-step explanation:o find f(-x), we replace every instance of x in the function f(x) with -x:

f(-x) = (-x)^3 - 3(-x)^2 + 2(-x) + 2

Simplifying, we get:

f(-x) = -x^3 - 3x^2 - 2x + 2

In AABC, AB=32, AC= 22, and BC= 20. What is mZA?
m (Do not round until the final answer. Then round to the nearest tenth as needed.)

Answers

The value of measure of ∠A would be,

⇒ ∠ A = 38.68 degree

We have to given that;

In triangle ABC,

AB=32, AC= 22, and BC= 20

Hence, We can formulate;

⇒ sin A = BC / AB

⇒ sin A = 20 / 32

⇒ sin A = 0.625

⇒ A = 38.68 degree

Thus, The value of measure of ∠A would be,

⇒ ∠ A = 38.68 degree

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Is c = 3 a solution to the inequality below?
122 c
yes
no

Answers

The value c = 3 is not a solution to the inequality

Checking if c = 3 is a solution to the inequality

From the question, we have the following parameters that can be used in our computation:

122 c

Express properly

So, we have

1 ≥ c

When this inequality is rewriiten. we have

c ≤ 1

This means that the values of c do not exceed 1

The number 3 exceeds 1

So, it means that c = 3 is not a solution to the inequality

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thickness of piece of metal in m. 0.00053

Answers

The thickness of the said metal piece is 560 micrometers

How to solve

Solving this question would require us to switch the thickness of the metal from meters to micrometers.

So, 1 meter is equivalent to 1,000,000 micrometers; and when 0.00053 meters is multiplied by 1,000,000, we get:

0.00053 m * 1,000,000 = 560 µm

Consequently, the thickness of the said metal piece is 560 micrometers.

A metal piece's thickness is defined as the distance, measured perpendicular to its opposing surfaces, between those surfaces. It is a crucial aspect in determining the strength and longevity of the metal object and is often stated in length measures like millimeters, inches, or micrometers.

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What is the thickness of the metal piece in micrometers, given that it is 0.00053 meters thick?

What is deviance? Identify the term and provide an overview. Think of a time when you or a
friend used informal negative sanctions. To what act of deviance were you or your friend
responding? Did this reaction help maintain social control? Is it possible to function as a society
without the threat of physical violence to keep people under control? Why or why not?

Answers

Deviance is a term used in sociology to describe behavior that violates social norms or expectations. It refers to any behavior that is considered outside of the established rules and expectations of a society or culture.

What are informal negative sanctions?

Informal negative sanctions are the social disapproval or punishment that people receive for violating social norms. An example of informal negative sanctions could be a group of friends ostracizing another friend for breaking a social rule, such as not showing up to a planned event.

In terms of the act of deviance, it could be anything from breaking a minor social norm to committing a serious crime. The reaction of informal negative sanctions is often an attempt to maintain social control by encouraging conformity to the established norms of the group or society.

While physical violence is not necessary to maintain social control, the threat of punishment is an important part of any functioning society. People follow the rules and norms of society because they know that if they do not, there will be consequences. However, it is important to note that violence and punishment should not be the only means of social control. Positive reinforcement, such as rewards for good behavior, can also be an effective way of encouraging conformity to social norms.

In summary, deviance refers to behavior that violates social norms, and informal negative sanctions are a way of enforcing social norms. The threat of physical violence is not necessary to maintain social control, but consequences for deviant behavior are essential for any functioning society.

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Helppp

The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 1000 years?---------

Answers

Using the exponential decay equation, we can see that after 1000 years we will have  178.43 mg  of Ra₂₂₆

How much will remain after 1000 years?

The decay of a radioactive substance, such as Radium-226, can be modeled by the exponential decay equation:

N(t) = N₀ * (1/2)^(t / T)

where:

N(t) is the amount of the substance remaining after time t

N₀ is the initial amount of the substance

t is the time elapsed

T is the half-life of the substance

Given that the half-life of Radium-226 is 1590 years and the initial amount is 500 mg, we can plug in these values into the equation and solve for N(1000), which represents the amount remaining after 1000 years.

N(1000) = 500 * (1/2)^(1000 / 1590)

N(1000) ≈ 178.43 mg

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College Level Trig Question

Answers

Note tha given the above trigonometric expression, the solution is

x = 2π/3 or 4π/3

How did we arrive at that  ?

We will start by simplifing the equation by moving all the terms involving sin (x/2) to one side..

2sin (x  /2) = √(3)

Then, we can solve for sin(x/2) by dividing both sides by  two  

sin (x /2) = √(3)/2

This is true when x/2 is π /3 or 2π/3, since these are the values where

sin  (  π/3) = √(3)/2 and

sin  (2π/3) = √(3)/2.

To find the values of x, we multiply these solutions by two

x = 2pi/3 or 4pi/3

Since we need to make sure that these solutions are in the given interval (0, 2π)

 both solutions are in the interval, so our final answer is  

x = 2π/3 or 4 π/3

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PLEASE HURRY

Let u = - 4i + 2j , v = 3i - j and w = - 6j

Find the specified scalar or vector

5u(3v - 4w)

Answers

The specified scalar or vector 5u(3v - 4w) is equal to -420i + 250j.

We can begin by distributing the scalar 5 to the vector 3v - 4w:

5u(3v - 4w) = 5u(3v) - 5u(4w)

Next, we can find the scalar multiples:

5u(3v) = 5(-4i + 2j)(3(3i - j)) = 5(-36i + 10j)

5u(4w) = 5(-4i + 2j)(4(-6j)) = 5(48i - 40j)

Now we can substitute these values back into the original expression:

5u(3v - 4w) = 5(-36i + 10j) - 5(48i - 40j)

Simplifying:

5u(3v - 4w) = -420i + 250j

Therefore, 5u(3v - 4w) = -420i + 250j.

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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

9ft

Step-by-step explanation:

From the left side, you know one length is 4ft abd the one below is 5ft, when you add them together its the answer of 9ft, which is the missing side.

it's 9ft

its 9ft because when you add 4 +5 you get 9. two rectangles a present in the diagram. the 4ft and 5ft are apart of the rectangle where the missing side is, adding those two together would give you 9 and in a rectangle sides facing each other are epual therefore the missing side is 9

if an avocado is 1$ per pound how many is it for 9 pounds?

Answers

If an avocado costs $1 per pound, the cost of 9 pounds, using multiplication, is $9.

What is multiplication?

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

Multiplication involves the multiplicand, the multiplier, and the product.

The cost per pound of an avocado = $1

The total quantity considered = 9 pounds

Proportionately, the total cost of 9 pounds = $9 ($1 x 9)

Thus, based on multiplication operation, the total cost of 9 pounds is $9.00.

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the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false

Answers

Since the line splits the square into two regions with equal area, it goes through center of square.

Equation of line through point (12,12)

with slope 5

y−12=5(x−12)

y=5x−2

y-intercept=(0,−2)

Since line passes through points (0.4,0)

and (0.6,1)

it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2

trapezoids with height =1

and bases =0.4

and 0.6

. Therefore, they have the same area.

Which expression is not equivalent to 2/3×4

Answers

The only expression that is not equivalent to the given fraction expression is: D (2 x 1/3) + (4 x 1/3)

How to multiply fractions?

The correct procedure that we will use to multiply fractions is:

- find a common denominator

- multiply the numerators

- multiply the denominators

- Simplify if necessary.

- Add the numerators and add the denominators

Looking at the options and comparing with the given fraction multiplication problem 2/3 * 4, we see that only option D is not equivalent to it because:

(2 x 1/3) + (4 x 1/3) = 6/3 = 2

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Complete question is:

Which expression is NOT equivalent to 2/3 x 4

A (2x4) /3

B 1/3 x (2x4)

C (4 x 1/3) x 2

D (2 x 1/3) + (4 x 1/3)

25 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

It is D because X plus 3 would give 4x so Mines 1 u get -3

Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the box in terms of its height, x, in inches.
Is it possible for the height of the box to be 15 inches?
also the question has 3 boxes

Answers

Answer:

Sure, I can help you with that.

Given:

   * The box is 24 inches long.

   * The width of the box is seven inches less than the height.

   * The volume of the box is 2,880 cubic inches.

To solve:

   * Complete the equation that models the box's volume in terms of its height, x, in inches.

   * Determine if the height of the box can be 15 inches.

Solution:

Let's define the following variables:

* $h$ = the height of the box (in inches)

* $w$ = the width of the box (in inches)

* $l$ = the length of the box (in inches)

We are given that  l=24 and w=h−7. We can use these values to find the volume of the box:

[tex]V = lwh = 24(h - 7)h[/tex]

We can simplify this expression to get the following equation:

[tex]V = 24h^2 - 168h[/tex]

To determine if the height of the box can be 15 inches, we can substitute 15 for $h$ in the equation and see if we get a positive value for the volume.

[tex]V = 24(15)^2 - 168(15) = 2160 - 2490 = -330[/tex]

Since the volume is negative, the height of the box can't be 15 inches.

Therefore, the equation that models the box's volume in terms of its height, x, in inches is [tex]$V = 24x^2 - 168x$[/tex]. Consequently, the size of the box can't be 15 inches.

Answer:

Yes

Step-by-step explanation:

The only answer is height = 15 because the -8 will be rejected

The figure below is a net for a triangular prism. What is the surface area of the triangular prism, in square meters?

Answers

The surface area of the triangular prism is given as follows:

S = 549.15 m².

How to calculate the surface area?

The surface area of a prism is given by the sum of the areas of all the parts that compose the prism.

The prism for this problem is composed as follows:

Rectangle of dimensions 15 m and 13 m.Rectangle of dimensions 15 m and 15.81 m.Two right triangles of sides 9 m and 13 m.

Hence the surface area is obtained as follows:

S = 15 x 13 + 15 x 15.81 + 2 x 0.5 x 9 x 13

S = 549.15 m².

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The triangular prism's surface area is given as follows:

S = 549.15 m².

The total area of all the prism's component components determines the prism's surface area.

The following is the structure of the prism for this issue:

rectangle with 15 and 13 meter sides.

rectangle with measurements of 15 and 15.81 meters.

two right triangles with 9 and 13 meter sides. So, the following is how the surface area is determined:

S is equal to 15 x 13 plus 15 x 15.81 and 2 x 0.5 x 9 x 13

S = 549.15 m².

-2√48 simplified is:
-8√3.
-4√3.
No solution.
None of these choices are correct.

Answers

Answer:

-8√3

Step-by-step explanation:

[tex] - 2 \sqrt{48} \\ = - 2 \sqrt{16 \times 3} \\ = - 2 \sqrt{16} \times \sqrt{3} \\ = - 2 \times 4\sqrt{3} \\ = - 8 \sqrt{3} [/tex]

you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm

Answers

The rectangular block of wax can make approximately 2 candles.

How do we determine the number of candles that could be made by that block of wax?

To calculate the number of candles, we use the formula

V of wax = l x w x h = 10 cm x 9 cm x 20 cm = 1800 cubic cm

V of candle = l x w x h = 9 cm x 9 cm x 12 cm = 972 cubic cm

1800 / 972 = 1.85

The above answer is based on the full question below;

you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm.

The height of the candle is 12cm and the base width is 9cm

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(x+3) (x-1)squared
????

Answers

Answer:

x^3 + x^2 - 5x + 3

Find the horizontal asymptotes and vertical asymptotes of the function [tex]k(x)= \frac{3x^{2} }{(x+1)(x-4)}[/tex]

Answers

the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.

what is  vertical asymptotes  ?

Vertical asymptotes are vertical lines on a graph where a function approaches infinity or negative infinity as the input (x) approaches a certain value. In other words, vertical asymptotes occur when the denominator of a function becomes zero and the function is undefined at that point

In the given question,

To find the horizontal and vertical asymptotes of the function f(x) = 3x²/[(x+1)(x-4)], we need to analyze the behavior of the function as x approaches infinity or negative infinity and as x approaches the vertical asymptotes (if any).

Vertical asymptotes occur at the values of x that make the denominator of the fraction equal to zero. In this case, we have vertical asymptotes at x = -1 and x = 4.

To find the horizontal asymptote, we need to divide the leading term of the numerator by the leading term of the denominator when x approaches infinity or negative infinity. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. However, we can use long division or synthetic division to write the function in the form of a polynomial plus a proper fraction:

f(x) = 3x²/[(x+1)(x-4)] = (3x + 15)/(x² - 3x - 4)

As x approaches infinity or negative infinity, the fraction approaches the value of 3/1 (the ratio of the leading terms of the numerator and denominator), but there is no horizontal asymptote.

Therefore, the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.

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Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.

Answers

The solution to the given equation is ( 8 , 1 )

Given data ,

To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:

x - 3y = 5: 8 - 3(1) = 5, which is true

y = x - 7: 1 = 8 - 7, which is true

Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:

Hence , (8, 1) is a solution to both equations, so it is a solution to the system

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11.) A notary may notarize the signature of someone she knows even if that person does not provide identification at the time.A) TrueB) False The lowest note on a piano is27. 5 Hz. To fit inside the piano,the string for the low note can't belonger than 1. 20 m. If it takes thefull length, what is the speed ofthe wave in the string?(Unit = m/s) What are the ways that the American Planning Association (APA) defines the planning profession? (Select all that apply. )planning to make businesses, citizens, and community leaders work together to enrich their communitiesplanning to ensure that new communities develop around specific single functionsplanning to help cities to provide more and higher-quality choices to citizensplanning communities today to have value far into the future On their farm, Adams family maintains a storage that can hold 14.3 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3. Round your answer to the nearest hundredth. Do not type the units in the space below. question 1 which of the following statements is true? 1 point the primary purpose of all enzymes is digestion the primary purpose of all enzymes is metabolism enzymes are generally protein molecules enzymes are generally dna molecules some cells in your body do not contain any enzymes Identify the structure of the human heart which is valve between the left atrium and left ventricle of the heart, consisting of two triangular flaps of tissue that prevents blood from flowing back into the atrium. Also, called the bicuspid valve. (check out the hint) A)mitral valve B)aortic valve C)tricuspid valve D)pulmonary valve can figuratively and literally be used at the same time ? Marcus charges 130$ per week to pet sit. Next week he is offering an 18% discount. What is the amount of the discount? What is meant by the term cost of goods manufactured? Why does this item appear on a income statement? In which situation is a country most likely to choose a fixed exchange rate forits currency? conga installed her family's candelabras on the wall in her dining room when she first moved in. ten years later, when she gets ready to move, she removes the candelabras from the walls so she can take them with her. what process did conga go through when she removed the candelabras? (a)(i) A galaxy moves away from the Earth at a speed of 3.9 104 km/s.The speed of light is 3.0 105 km/s.Light from the galaxy is emitted with a wavelength of 6.2 107 m.Calculate the change in the wavelength of the light that is received by an observer on the Earth.(ii) Calculate the wavelength of the light that is received by the observer on the Earth.(b)One of the pieces of evidence for the Big Bang theory is the red-shift of galaxies. Explain how the red-shift of galaxies supports the Big Bang theory. "Big talk! Youre like the blind man who catches sparrows and calls them phoenixes. " (p9) To whom is Grandmother referring? What does she mean?Book: Dragon Wings The value of y varies directly with x. When y = 75, x=1/2. What is the value of y, when x is 2 1/2 can someone pls help me!! the book is called raisin in the sun btw^^ what is the meaning of the phrase "separation of church and state"? What part of the constitution guarantees this separation? (50 Points) How do I fix this code? Help guys asap i need correct answers only!! find the volume of the cylinder. find the volume of a cylinder with the same radius and double the height.the volume of the cylinder in^3?the volume of with the same radius and double the height is ConfusingKerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?Options:A: 0B :5C: 10D: 25 What is the perimeter of the triangle??? units.