Kylie reads about two popular cell phone apps one app uses 1/2 of a phones storage space the other app uses 5/12 of a phone storage space Explain how Kylie can find the difference in the two storage space of the two apps without drawing a visual model

Volume of the solid obtained by rotating the region bounded by the given curves about the specified line is \(\frac{24\pi }{5}\)

Now, According to the question:

The shell method formula sums the volume of a cylindrical shell over the radius of the cylinder, and the volume of a cylinder is given by V=2πrh V = 2 π r h where r is the radius and h is the height.

Take a vertical cross section of the region.  The width of the cross section is dx, and the height is \(8x^3.\)

Rotate the cross section about the line x = 2.  The height of the shell is  \(8x^3.\) the radius is 2 - x, and the thickness is dx.

Volume of shell = 2π(2-x)(\(8x^3\))dx = 2π(\(16x^3 - 8x^4\))dx  

Volume of solid  = \(2 \pi \int\limits^1_0 [16x3 - 8x4]dx\)

\(= 2\pi (4x^4 - (8/5)x^5)^1_0\)  

= 24π/5

Hence,  Volume of the solid obtained by rotating the region bounded by the given curves about the specified line is \(\frac{24\pi }{5}\).

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when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:  Choice 3.

The number of people purchasing coffee each day in a coffee shop

Reason:

It's not possible to have a decimal or fractional amount of people. So we select the value from the set {0,1,2,3,4,...}

On the other hand, it is possible to have a decimal temperature like 98.6 degrees, which means we rule out choice 1. Choices 2, 4, and 5 are a similar story.

Answer:

3

Step-by-step explanation: First find out 1/6 of 18 which is 3 so that's your answer

From the given scatter plot it is a positive trend.

We need to describe the trend of given scatter plots.

A scatter plot shows a positive trend if y tends to increase as x increases. A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.

Here, from the given graph it is a positive trend.

Hence, from the given scatter plot it is a positive trend.

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The constant of variation is 1.75 for every unit increase in x (weight), and the cost(y) value increases by $ 1.75.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The difference between two consecutive entries is constant, as we can see = 1.75

⇒ 7 - 5.25 = 1.75

⇒ 8.75-7 = 1.75

⇒ Slope(m) = 1.75

The slope represents the variable's rate of change.

y - 3 = m(x - 5.25)

y - 5.25 = 1.75(x-3)

y = 1.76x

Thus, the constant of variation is 1.75

This indicates that for every unit increase in x (weight), the cost(y) value increases by $ 1.75.

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The question seems to be incomplete the correct question has been attached

Answer: 33.3333333...%

Step-by-step explanation: 200/600=1/3

                                            1/3 =33.3333333...%

Answer:

8835.73ft^3

Step-by-step explanation:

First:

Find area of the base circle.

Diameter is 15, so radius is 7.5

Area of the base circle is 56.25pi (use formula: A=pi(r)^2 ) (also ill convert pi into decimals only later)

next find the volume of the cylinder

height is 40 so volume = 56.25pi*40 = 2250pi

next find the volume of the dome at the top.

you know the radius is 7.5

Use volume of sphere formula below :

4 /3πr^3

=1767.15

alright now add the two bolded values

1767.15+2250pi

= 8835.73

hope this helps

The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

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The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct

To solve the given system of equations:

1) y = x - 4

2) -4x - 6y = -16

We can use the substitution method to eliminate one variable and solve for the other.

Step 1: Solve the first equation (1) for y in terms of x.

  y = x - 4

Step 2: Substitute the expression for y from equation (1) into equation (2).

  -4x - 6(x - 4) = -16

Step 3: Simplify and solve for x.

  -4x - 6x + 24 = -16

  -10x + 24 = -16

  -10x = -16 - 24

  -10x = -40

  x = -40 / -10

  x = 4

Step 4: Substitute the value of x back into equation (1) to solve for y.

  y = 4 - 4

  y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

In summary, the correct substitution step for the system is:

-4x - 6(x - 4) = -16

By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct

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Answer:

0.205, 21%, 1/4, 0.3, 1/3

Step-by-step explanation:

Hi! How I was taught to do these was convert them all into percentages.

0.3 ---> 30%

1/3 ---> 33.33%

21% ---> 21%

1/4 ---> 25%

0.205 --> 20.5%

Now that we have these, order from least to greatest. Make sure you use the form it gave you in the question!

The perimeter of the triangle will be 56 inches.

The triangle in which one angle is at 90 degrees and the two sides of the triangle are at 90 degrees is called a right-angled triangle. A triangle is a two-dimensional shape having three sides the angle suspended by the triangle is 180 degrees.

Given that the longer leg of a right triangle is three inches more than three times the length of the shorter leg. The area of the triangle is 84 square inches.

The perimeter of the triangle is calculated by knowing the length of all three sides of the triangle;-

Three sides are:-

Shorter side = s

Longer side = 3s + 3

Hypotenuse =?

H = √ ( s² + ( 3s + 3 )²

H = √ ( s² + 9s² +18s + 9 )

H = √ ( 10s² + 18s + 9 )

Form the area the value of s will be calculated as below:-

Area = ( 1 / 2 ) x s x (3s + 3 )

168 = 3s² + 3s

3s² + 3s - 168 = 0

s² + s -56 = 0

s² + 8s - 7s -56 =0

s ( s + 8 ) -7( s+ 8 ) = 0

s = 7 and -8 ignore negative

Three sides are:-

Shorter = s = 7 inches

Longer = 3s + s = 3 x 7 + 3 = 24 inches

Hypotenuse = √ ( 10( 7)² + 18 x (7 )  + 9 )

Hypotenuse = √ ( 490 + 126 + 9 0

Hypotenuse =  25 inches

Perimeter =  7 + 25 + 24 = 56 inches

Therefore, the perimeter of the triangle will be 56 inches.

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Answer:

You could use a calculator -_-

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

you subtract 32 from 16 and you get -16

In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C

When a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.

To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.

It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis

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Answer:

1 + 6v

Step-by-step explanation:

1+5v+v​

Combine like terms

1 + 6v

Answer:

6v + 1

Step-by-step explanation:

1 + 5v + v

Apply rule : a = 1a

1 + 5v + 1v

Combine like terms.

5v + 1v + 1

(5 + 1)v + 1

(6)v + 1

6v + 1

Answer:

how does the  melody go again

Step-by-step explanation:

when i drop...

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.

As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.

The y-coordinate is the vertical distance from the x-axis. Positive is up.

Answer:

x=7, y=-1. (7, -1).

Step-by-step explanation:

2x+4y=10

-2x+y=-15

-----------------

5y=-5

y=-5/5

y=-1

2x+4(-1)=10

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).

In this problem we have the coordinates of a original point and a translation vector, the coordinates of the image is obtained by using the following formula:

Y'(x, y) = Y(x, y) + T(x, y)

Where:

To learn more on Y(x, y) = (- 4, - 9) and T(x, y) = (- 6, 2), then the coordinates of the resulting point are:

Y'(x, y) = (- 4, - 9) + (- 6, 2)

Y'(x, y) = (- 10, - 7)

The image of the coordinates of the resulting point are Y'(x, y) = (- 10, - 7).

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That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

The given statement which are not true are a) , c) , and f)

we have to check whether the given statement is true or not

a) 6.68 > 6.8

6.68 can be written as 6+ 0.68 and 6.8 can be written as 6+ 0.8

then we have 6 both the sides , only need to compare 0.68 and 0.8

we know that 0.8 is greater than 0.68

that is 0.8> 0.68

so 6+0.8 > 6+0.68

hence 6.8 > 6.68

but we are given that 6.68 > 6.8 so the statement is not true

b) 6.86 < 6.88

we know 0.86 < 0.88

hence 6.86 < 6.88 statement is true

c) 6.8 = 6.08

0.8 is not equal to 0.08

therefore 6.8 is not equal to 6.08 and hence statement is not true

d) 6.6 > 6.08

true

e) 6.86 > 6.8

true

f) 6.8< 6.6

6.8 is greater than 6.6 so the statement is not true

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4/5 is a real number.

A real number is a value in mathematics that expresses a quantity along a continuous line. Real numbers can be expressed as fractions or decimals and can be positive, negative, or zero.

4/5 is a rational number in this situation, which is a form of real number that may be written as a ratio of two integers. A real number can also be irrational, which means that it cannot be stated as a ratio of two integers and that its decimal representation goes on indefinitely without repeating.

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The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

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Answer:

|NT| = 25

Step-by-step explanation:

The four sides of this square all have the same length.  Thus, 5x = 10x - 25, which, in turn, becomes 25 = 5x, giving us x = 5.  The length of NT is 5(x), or |NT| = 25.