If y = 3, which of the following expressions will
produce a value of 15?
A.5y
B.25-10y
C.4y+3
D.8y divide by 2

Answer:

The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.

Step-by-step explanation:

From Geometry, the volume of the cone ([tex]V[/tex]), measured in cubic centimeters, is defined by:

[tex]V = \frac{\pi\cdot r^{2}\cdot h}{3}[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

Then, we find a formula for the rate of change of the volume of the birth bath ([tex]\dot V[/tex]), measured in cubic centimeters per minute, by means of differentiation:

[tex]\dot V = \frac{\pi}{3}\cdot \left(2\cdot r\cdot h\cdot \dot r + r^{2}\cdot \dot h \right)[/tex] (2)

Where:

[tex]\dot r[/tex] - Rate of change of radius, measured in centimeters per minute.

[tex]\dot h[/tex] - Rate of change of height, measured in centimeters per minute.

In addition, we have the following relationship:

[tex]r = 2\cdot h[/tex] (3)

And by Differential Calculus:

[tex]\dot r = 2\cdot \dot h[/tex] (4)

By applying (3) and (4) in (2), we find the following expanded formula:

[tex]\dot V = \frac{\pi}{3}\cdot \left[2\cdot (2\cdot h)\cdot (2\cdot \dot h)+4\cdot h^{2}\cdot \dot h\right][/tex]

[tex]\dot V = \frac{\pi}{3}\cdot (8\cdot h+4\cdot h^{2})\cdot \dot h[/tex] (5)

If [tex]\dot V = -8\,\frac{cm^{3}}{min}[/tex] and [tex]h = 10\,cm[/tex], then the rate of change of the water level is:

[tex]\dot h = \frac{\dot V}{\frac{\pi}{3}\cdot (8\cdot h + 4\cdot h^{2}) }[/tex]

[tex]\dot h = \frac{-8\,\frac{cm^{3}}{min} }{\frac{\pi}{3}\cdot [8\cdot (10\,cm)+4\cdot (10\,cm)^{2}] }[/tex]

[tex]\dot h \approx -0.016\,\frac{cm}{min}[/tex]

The water level is changing at - 0.016 centimeters per minute when the water is 10 centimeters deep.

Answer:

[tex]2x - P = 5 \\ x(2 - P) = 5 \\ \boxed{x = \frac{5}{(2 - P)} }[/tex]

Answer:

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 36 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.947

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes

The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Answer:

$1.50

Step-by-step explanation:

When you add $0.29 and $1.23 you get $1.52

then you round $1.52 down to get $1.50 because $1.52 is closer to $1.50 than it it closer to $1.60

Answer:

4.5

Step-by-step explanation:

Well, she runs  3 miles in  28  minutes.  

42 = 28 ⋅ 1.5  

So, her journey would just be running  

1.5

times, with each time running  

28

minutes.

So, she runs a total of  

1.5 ⋅ 3 = 4.5 miles

the answer of this question is 11

Answer:

8+3=11

Step-by-step explanation:

you have to add 8+3 and get 11

Answer: B

Step-by-step explanation: 7/4 time 8/1 is 56/4 which simplifies to 14. B is the only statement that satisfies this

Answer:

6        12     18    24   30

20%  40% 60% 80% 100%

Step-by-step explanation:

smarts

Given:

Width of a garden = 10 feet

Length of the garden = 14 feet

Area of the garden and the walkway together = 396 square feet.

To find:

The width of the walkway.

Solution:

A cement walkway is added around the outside of the garden.

Let x be the width of the walkway.

The width of the garden with walkway = 10+2x

The length of the garden with walkway = 14+2x

Area of a rectangle is

[tex]Area=length\times width[/tex]

Area of garden and the walkway together is

[tex]Area=(14+2x)\times (10+2x)[/tex]

[tex]396=140+28x+20x+4x^2[/tex]

[tex]396=140+48x+4x^2[/tex]

[tex]396=4(35+12x+x^2)[/tex]

Divide both sides by 4.

[tex]99=35+12x+x^2[/tex]

[tex]0=35-99+12x+x^2[/tex]

[tex]0=-64+12x+x^2[/tex]

Splitting the middle term, we get

[tex]x^2+16x-4x-64=0[/tex]

[tex]x(x+16)-4(x+16)=0[/tex]

[tex](x+16)(x-4)=0[/tex]

Using zero product property, we get

[tex](x+16)=0\text{ and }(x-4)=0[/tex]

[tex]x=-16\text{ and }x=4[/tex]

Width of walkway cannot be negative. So, x=4.

Therefore, the width of the walkways is 4 feet.

Answer:

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Hope it helps

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Answer:

2.) yes

3.) x=3

Step-by-step explanation:

2.) if u plug in 2 into the x-value,  then the y-value equals to 5 (so it's correct)

3.)

y = 6

2x + 6 = 12

x = 3

Answer:

0.16

Step-by-step explanation:

Answer:

a certain number that i do not know

Step-by-step explanation:

        a). It will take 16 hours to earn $144.

        b). It will take 24.67 hours to earn $222

        c). In a 40 hours week he will earn $360.

             In a 7 hours day he will earn $63.

          Proportionality law states,

          y ∝ x

          y = kx  [here, k = proportionality constant]

If Adam earns $36 in 4 hours,

36 = 4k

k = 9

Therefore, expression for total earnings will be,

y = 9x

a). For y = $144,

    144 = 9x

     x = 16 hours

b). For y = $222,

    222 = 9x

     x = 24.67 hours

c). For 40 hour week,

    y = 9(40) = $360

    Adam will earn $360 in a week by the rate $9 per hour.

    For 7 hour day,

    y = 9(7) = $63

    Adam will earn $63 in a day by the rate of $9 per hour.

            Therefore, a). It will take 16 hours to earn $144.

                               b). It will take 24.67 hours to earn $222.

                               c). In a 40 hours week he will earn $360.

                                    In a 7 hours day he will earn $63.

Learn more about the proportionality relation here,

https://brainly.com/question/5837592?referrer=searchResults

Answer:

Horizontal=159.3

Vertical=103.5

Step-by-step explanation

I don't really know but these are the answers

The magnitude of the horizontal force is approximately 159.6 N, and the magnitude of the vertical force is approximately 103.5 N.

To find the horizontal and vertical components of the force applied by Helen, we can use trigonometric functions.

Given that Helen is pushing the handle of a push broom with a force of 190 newtons at an angle of 33 degrees with the ground, we can determine the horizontal and vertical components as follows:

Horizontal Force: To find the horizontal component, we use the cosine of the angle:

Horizontal Force = Force * cos(angle)

Horizontal Force = 190 N * cos(33°)

Calculating the value:

Horizontal Force ≈ 190 N * 0.8387

Horizontal Force ≈ 159.6 N (rounded to the nearest tenth)

Vertical Force: To find the vertical component, we use the sine of the angle:

Vertical Force = Force * sin(angle)

Vertical Force = 190 N * sin(33°)

Calculating the value:

Vertical Force ≈ 190 N * 0.5446

Vertical Force ≈ 103.5 N (rounded to the nearest tenth)

Therefore, the magnitude of the horizontal force is approximately 159.6 N (rounded to the nearest tenth), and the magnitude of the vertical force is approximately 103.5 N (rounded to the nearest tenth).

To know more about magnitudes click here :

https://brainly.com/question/14059006

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Answer:

The solution to the system of equations be:

(x, y) = (16, 2)

Step-by-step explanation:

Given the system of equations

2 + 2y = 6

2x - 3y = 26

Isolate y for 2+2y=6

2+2y=6

subtract 2 from both sides

2+2y-2 = 6-2

2y = 4

divide both sides by 2

2y/2 = 4/2

y = 2

now substitute y = 2 in 2x - 3y = 26

2x - 3y = 26

2x - 3(2) = 26

2x-6=26

add 6 to both sides

2x-6+6=26+6

2x = 32

divide both sides by 2

2x/2 = 32/2

x = 16

Therefore, the solution to the system of equations be:

(x, y) = (16, 2)

Note: It seems you may have missed adding the correct option in your answer choices.

Answer:

the decision rule is to reject H0 if Z is < -1.645

Step-by-step explanation:

this question is interested in the decision rule.

H0: u = 449

H1 : u <449

We find the test statistic

Mean bar x = 441

u = 449

Sd = 18

n = 37

Z = barX - u / sd/√n

= 441-449/18/√37

= -8/18/6.083

= -8/2.959

Z = - 2.7036

This is the value of the test statistic

The critical value at 0.05 = -1.645. this is a left tailed test

The decision rule is to reject H0 if Z < -1.645

The test statistic is less than the critical value

-2.7036 < -1.645

So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.

Answer:

D is answer

Step-by-step explanation:

you will subtract like terms

Answer:

It is D

Step-by-step explanation:

Answer:

Justin only keeps 3 marbles while his friends get 4 marbles each

Answer:

6 apples per pie

Step-by-step explanation:

2x+7=19

x=# of apples per pie

Subtract 7 from both sides:

2x=12

Divide both sides by 2:

x=6

Answer:

answer = -1

Step-by-step explanation:

Answer:

Response:12 inches

Step-by-step explanation:

Explanation step-by-step: 4*3=12 inches

Answer:

The price of the robotics kit should be $34 dollars

Step-by-step explanation:

First we have to find out what 25% and 15% of 40 is.

25% of 40 = 10

15% of 40 = 6

Next we have to add 10 plus 6 then subtract 40 by it.

10 + 6 = 16

40 - 16 = 34

So, the robotics kit should cost 34 dollars after both discounts.

Answer:

4 gal 3qt

Step-by-step explanation:

Answer: x = −1

ask if you need explanation