Student Council is selling candy grams. They are using the formula
y=2.5x to determine y, the profit earned, for x candy grams. They have
to sell between 55 and 60 candy grams to meet their goal. Find the
domain and range of this situation.

Rounding this approximation to the nearest whole number, we get:

V_metal ≈ 157 cubic inches. None of the given options match this estimation.

To estimate the amount of metal in the tank, we need to calculate the surface area of the metal and then multiply it by the thickness of the metal.

The surface area of the top and bottom of the tank can be calculated as the area of a circle, which is given by the formula A = πr². Since the radius of the tank is 10 inches, the area of each circular end is:

A_top_bottom = π(10)² = 100π square inches

The surface area of the side of the tank can be calculated as the lateral surface area of a cylinder, which is given by the formula A = 2πrh, where r is the radius and h is the height. In this case, the height is 20 inches, and the radius is 10 inches. Therefore, the lateral surface area is:

A_side = 2π(10)(20) = 400π square inches

The total surface area of the metal is the sum of the top, bottom, and side surface areas:

A_total = A_top_bottom + A_side = 100π + 400π = 500π square inches

Since the thickness of the metal is 0.1 inches, we can estimate the volume of the metal by multiplying the surface area by the thickness:

V_metal = A_total × 0.1 = 500π × 0.1 = 50π cubic inches

To find a numerical approximation for the volume, we can use the value of π as 3.14159:

V_metal ≈ 50 × 3.14159 ≈ 157.0795 cubic inches

Rounding this approximation to the nearest whole number, we get:

V_metal ≈ 157 cubic inches

None of the given options match this estimation. It seems there might be an error in the available options.

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Answer:

-193

Step-by-step explanation:

x+52+67+75=1

x+119+75=1

x+194=1

-194.    -194

x=-193

Answer:

Add 4 to both sides

x<7

Step-by-step explanation:

Hello User!

Answer: $659.83

Steps:

1.) Previous balance = 3529.30

APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%

Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00

New balance after transaction = 3584.00 + 148 = 3732.00

2.) Previous balance = 5834.53

APR = 20.4%, thus monthly interest rate = 1.7%

Previous balance - payment = 5834.53 - 150 = 5680.53

Balance + interest = 5634.53(1 + 0.017) = 5781.17

New balance after transaction = 5781.17 + 325 = 6106.17

3.) Total payment = 15264

Number of payments = 72 monthly payments

Monthly payment = 15264 / 72 = 212

4.) Amount bollowed = 7400 at 7% APR

Amount plus interest = 7400(1 + 0.07) = 7918

Monthly payment = 7918 / 12 = 659.83

Answer:

Step-by-step explanation:

I took the quiz

Answer: t = 7.85seconds

Step-by-step explanation:

Given that :

Height of tower = 986 Feets

Function s(t) = 16t^2

To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the​ building

16t^2 = 986

t^2 = 986/16

t ^2 = 61.625

Take the square root of both sides

t = sqrt(61.625)

t = 7.85seconds

Answer:

7.85sec

Step-by-step explanation:

Given that,

s(t)=16t squared​, where t is time in seconds. The height of a certain tower is 986 feet.

s(t) = 16t²

so when s = 986feet

16t² = 986 feet

t² = 986 /  16

t² = 61.625

t = √61.625

t= 7.85 seconds

Answer:

c + b ≤ 12

Step-by-step explanation:

Answer:

y/mz

Step-by-step explanation:

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{3}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{1}}} \implies \cfrac{ 3 }{ 4 } \implies \cfrac{3}{4} \\\\[-0.35em] ~\dotfill\)

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{1}}} \implies \cfrac{ -3 }{ 4 } \implies - \cfrac{3}{4} \\\\[-0.35em] ~\dotfill\)

\((\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{5}}} \implies \cfrac{ -4 }{ -3 } \implies \cfrac{4}{3}\)

Answer: heem

Step-by-step explanation:

Answer:

$40/unit

Step-by-step explanation:

See attached graph.

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90° , then

a + b = 90° , that is

67° + b = 90° ( subtract 67° from both sides )

∠ b = 23°

Answer:

m<b = 23

Step-by-step explanation:

Complementary angles have a sum of 90, so subtract 67 from 90 to get the measurement of the other angle.

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

Answer:

x=0 y=-11 (0,-11)

Step-by-step explanation:

1. take what y equals (3x-11) and plug it in for y in the second equation

Should look like this: O= 6x-2(3x-11)-22

2. Then distribute O=6x-6x+22-22

3. Then combine like terms O= 0 the 22's cancel out as well as the x's

x= 0

4. plug 0 in for x in the first equation y=3(0)-11

5. y= -11

6. x=0 y=-11 (0,-11)

Answer:

This is the answer

x=0 y=-11 (0,-11)

Hope I helped! :)

Step-by-step explanation:

Answer:

16a^2 - 9b^6

Step-by-step explanation:

16a^2 - 9b^6   ---> 16a² is the square of 4a; 9b^6 is the square of 3b³

This is the difference of 2 squares

4g - 16h --->  4g and 16h are not perfect squares.

25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares  

2x^2 - 4y^2 ---> 2x² is not a perfect square

Answer: 16a^2 - 9b^6

Answer:

See below

Step-by-step explanation:

When you make purchases with a debit card, you are borrowing funds from your own bank account. When you make purchases with a credit card, you are borrowing funds from the bank, typically to pay it back to the bank later.

The perpendicular bisectors of the sides of regular polygons have a few general properties: they intersect at the circumcenter, they have equal lengths (which is the radius of the circumcircle), and they divide the sides into two equal segments. These properties hold true for any regular polygon, regardless of the number of sides.

The perpendicular bisectors of the sides of regular polygons can be generalized in a few key ways. First, a regular polygon is a polygon with equal side lengths and equal angles.

For any regular polygon, the perpendicular bisectors of its sides will intersect at a single point, known as the circumcenter. The circumcenter is the center of a circle that can be drawn through all the vertices of the regular polygon. This circle is called the circumcircle.

The lengths of the perpendicular bisectors in a regular polygon can also be generalized. They will all have the same length, which is equal to the radius of the circumcircle. The radius is the distance from the circumcenter to any vertex of the regular polygon.

Additionally, the perpendicular bisectors divide the sides of the regular polygon into two equal segments. This means that each side of the regular polygon is divided into two segments of equal length.

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The unit price Harry figure out to get the good deal at the store: $34 for 7 roses, is $4.86 per rose. Option B is correct.

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

Harry is trying to figure out if it's a good deal. There is a special at the store: $34 for 7 roses.

Let suppose unit price of one rose is x. Thus,

\(x=\dfrac{34}{7}\\x\approx4.86\)

Thus, the unit price Harry figure out to get the good deal at the store: $34 for 7 roses, is $4.86 per rose. Option B is correct.

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For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64

Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.

Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64

So, an estimate of the true mean is sample mean=\(\bar x\)=7.64

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The complete question is given below:

Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: B) \(f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}\)

Step-by-step explanation:

When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of

*shifting left 1 unit

*vertically compressed by 1/3

*reflect over the y-axis

So the answer is B

The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁵

On reflecting over the y axis , we get

f ( x ) = ( -x )⁵

On vertically compressing by a factor of ( 1/3 ) , we get

f ( x ) = ( 1/3 ) ( -x )⁵

And , shifting 1 unit to the left , we get

f ( x ) = ( 1/3 ) ( -x + 1 )⁵

Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵

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Answer:

middle, last, first

The first five terms in the recursive sequence are: 2, 3, 6, 18, 108.

First five terms of the recursive sequence defined by a1 = 2, a2 = 3, and an = an-2 * an-1.
1. First term (a1): Given as 2.
2. Second term (a2): Given as 3.
3. Third term (a3): To find a3, use the formula an = an-2 * an-1. In this case, n = 3, so a3 = a1 * a2 = 2 * 3 = 6.
4. Fourth term (a4): Similarly, to find a4, use the formula with n = 4. So a4 = a2 * a3 = 3 * 6 = 18.
5. Fifth term (a5): Finally, to find a5, use the formula with n = 5. So a5 = a3 * a4 = 6 * 18 = 108.
The first five terms in the recursive sequence are: 2, 3, 6, 18, 108.

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The answer to the factorial expression 5!3! is 720.

The expression 5! means 5 factorial, which is calculated by multiplying 5 by each positive integer smaller than it. Therefore,

5! = 5 x 4 x 3 x 2 x 1 = 120.
Similarly,

The expression 3! means 3 factorial, which is calculated by multiplying 3 by each positive integer smaller than it.

Therefore,

3! = 3 x 2 x 1 = 6.
To evaluate the expression 5! / 3!, we can simply divide 5! by 3!:
5! / 3! = (5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 5 x 4 = 20.
Therefore, the answer is option a, 20.
To evaluate the factorial expression 5!3!

We first need to understand what a factorial is.

A factorial is the product of an integer and all the integers below it.

For example, 5! = 5 × 4 × 3 × 2 × 1.
Now,

Let's evaluate the given expression:
5! = 5 × 4 × 3 × 2 × 1 = 120
3! = 3 × 2 × 1 = 6
5!3! = 120 × 6 = 720
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It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

The coordinates of point R as an integer or decimal to the nearest 0. 5 is (-1, 4.5)

The coordinates indicate the position of a point in the 2D coordinate plane relative to the origin The x-coordinate of a point is its perpendicular distance from the y-axis measured along the x-axis. The y-coordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.

First the The coordinates of R

coordinates of the x-axis position of R from the x-axis is -1

The coordinate of the y-axis position from the y-axis is 4.5

Coordinates of the point R can be written as (x, y)

x = -1 , y = -4.5

Coordinates of point R = ( -1, 4.5 )

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The question is incomplete the complete question is :

What are the coordinates of point R?

Write your answer as an integer or decimal to the nearest 0. 5

Answer:

Step-by-step explanation:perp. 3/2

y + 8 = 3/2(x - 4)

y + 8 = 3/2x - 6

y = 3/2x - 14