PLEASE HELP QUICK!!!!

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:

y = 3/5x - 6

Step-by-step explanation:

Slope intercept Form: y = mx + b

m = slope

b = y-intercept

Slope = 3/5

Y-intercept = -6

y = 3/5x - 6

Answer:

y = 3/5 -6

Step-by-step explanation:

You have the y and constant value already

plz give brainliest

Answer:

I think it is the third one.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 + p/10 >= 3

p/10 >= -5

p >= -50

Answer:

A

Step-by-step explanation:

Took the test

There is a need for 58.5 pounds of turkey for 36 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The proper ratio of turkey to people is 12 pounds of turkey for every 8 people.

Let the number of pounds would be x for 36 people

According to the given situation, we can write the ratio would be as:

12 pounds of turkey : 8 people = x pounds of turkey : 36 people

⇒ 12 / 8 = x / 36

Apply the cross-multiplication operation,

⇒ 8x = 13 × 36

Apply the multiplication operation,

⇒ 8x = 468

⇒ x = 468/8

Apply the division operation,

⇒ x = 58.5

Therefore, there is a need for 58.5 pounds of turkey for 36 people.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

Answer:

Length=62 feet

Step-by-step explanation:

L x W =area   area= 868    L=6W-22

868=W x (6W-22)

868=6W^2-22W

reorder equation

6W^2-22W-868=0

Factor

(3W-42)(2W+20.7)=0

3W=42

W=14, then L=6(14)-22=62

Check:

62x14=868

The length of the rectangle is 62 feet.

Given,

A rectangle has a length of 22 feet less than 6 times its width.

The area of the rectangle is 868 square feet.

We need to find the length of the rectangle.

It is given by:

A = Length x width

We have,

ax² + bx + c

a x c = p x q

The sum of p and q must be equal to b.

Find the length of the rectangle.

L = 6W - 22 ______(1)

Find the width of the rectangle.

Width = W ______(2)

Find the area of the rectangle.

A = L x W

868 square feet = L x W

From (1) and (2)

868 = (6W -22) x W

868 = 6W² - 22W

6W² - 22W - 868 = 0

Solve for W.

6W² - 22W - 868 = 0

Using middle-term factorization.

2( 3W² - 11W - 434 ) = 0

3W² - 11W - 434 = 0

3W² - ( 42 - 31 )W - 434 = 0

3W² - 42W + 31W - 434 = 0

3W ( W - 14 ) + 31 ( W - 14 ) = 0

3W + 31 = 0

3W = - 31

W = - 31 / 3 ( Can not be a negative)

W - 14 = 0

W = 14

Putting W = 14 in (1)

L = 6W - 22

L = 6 x 14 - 22

L = 84 - 22

L = 62

Thus the length of the rectangle is 62 feet.

Learn more about finding the dimension of a rectangle here:

https://brainly.com/question/28107004

#SPJ2

Answer: [tex]y=\sqrt{r^{2} -x^{2} }[/tex]

Step-by-step explanation:

x^2+y^2=r^2 --> subtract x^2 to other side

y^2=r^2-x^2 --> square root both sides

y=sqrt(r^2-x^2)

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:

Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.

Answer:

126

Step-by-step explanation:

So theres 840 people and 85% got a seat

We just do 840 * 85% = 714

then to find the people without the seat

840 - 714 = 126

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:

_____________☁️☁️

Hope it helps

~ƒöᏝϗʆѻʁᶥąռ¹₃

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:

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

#SPJ2

Answer:

Response:12 inches

Step-by-step explanation:

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

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 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:

answer = -1

Step-by-step explanation:

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:

from shortest to longest

NR

RS

NS

Step-by-step explanation:

HOPE IT HELPS

Answer:

The equation best represents the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Taking the two points

Determining the slope between the points (0, -1) and (1, 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)[/tex]

[tex]m=\frac{2-\left(-1\right)}{1-0}[/tex]

Refine

[tex]m=3[/tex]

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the point (0, -1)

It means at x = 0, y = -1

Thus, the y-intercept b = -1

now substituting b = -1 and m = 3 in the slope-intercept form

y = mx+b

y = 3x + (-1)

y = 3x-1

Therefore, the equation best represents the line is:

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

Here the positive intercept should be considered as the -1 and 5.

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484

Answer:

6

Step-by-step explanation:

6 is the answer to your question

Answer:

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

Answer:

21.9mm

Step-by-step explanation:

6.2+ 15.7 = 21.9

hope this helps....

Answer:

f

Step-by-step explanation:

Answer:

hope this helps!!:)

Step-by-step explanation:

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