I really need help plzzzzz​

Answer:

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Step-by-step explanation:

From Geometry we know that volume of cylinder ([tex]V[/tex]), measured in cubic inches, is expressed by:

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

Where:

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

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

Given that volume remains constant, the expression for the rate of change of the height ([tex]\dot h[/tex]), measured in inches per minute, is:

[tex]2\pi\cdot r \cdot h \cdot \dot r + \pi \cdot r^{2}\cdot \dot h = 0[/tex]

[tex]2\cdot h\cdot \dot r + r\cdot \dot h = 0[/tex]

[tex]r\cdot \dot h = -2\cdot h \cdot \dot r[/tex]

[tex]\dot h = -\frac{2\cdot h\cdot \dot r}{r}[/tex]

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

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

Where [tex]\dot r[/tex] is the rate of change of the radius, measured in inches per minute.

If we know that [tex]r = 44\,in[/tex], [tex]\dot r = 2\,\frac{in}{min}[/tex] and [tex]V = 440\,in^{3}[/tex], then the rate of change of the height is:

[tex]\dot h = - \frac{2\cdot \left(2\,\frac{in}{min} \right)\cdot \left(440\,in^{3}\right)}{\pi\cdot (44\,in)^{3}}[/tex]

[tex]\dot h \approx -6.577\times 10^{-3}\,\frac{in}{min}[/tex]

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Answer: 2x and y= 4+

Step-by-step explanation:

x = 2 times 2 and so on....

y = 4 plus 4 plus 4 etc....

Answer:

-5.6

Step-by-step explanation:

first distribute the 2.5

also convert the 2/5 to decimal (0.4) because it's hard to work with both decimal and fraction

2.5y + 2.5*0.4 = -13

2.5y +1 = -13

y = -14/2.5 = -5.6

Answer:

z= 2√2

x=2

y=2√2

Answer:

Option C is the correct answer.

Step-by-step explanation:

Per week earning = $8

Amount in savings = $12

y = Total amount

x = Number of weeks

y = 8x + 12

Where we can put x=4 to calculate earning of 4 weeks.

y = 8(4) + 12

y = 32 + 12 = $44

Therefore,

Option C is the correct answer.

Answer:

Step-by-step explanation:

Simplify by factoring both trinomials:

Answer:

20

Step-by-step explanation:

5/ 1/4 --> 5 x 4 (flip the 1 and 4 in 1/4)

Answer:

6 + 3h ≤ 27

Step-by-step explanation:

hope this helpsss

Answer:

Team blue points = 4 points

Team green points = 16 points

Step-by-step explanation:

Let

Team blue points = x

Team green points = (x + 12) points (1)

Team green points = 4x (2)

Equate equation (1) and (2)

x + 12 = 4x

12 = 4x - x

12 = 3x

x = 12/3

x = 4 points

Team blue points = x

= 4 points

Team green points = (x + 12)

= 4 + 12

= 16 points

Team green points = 4x

= 4(4)

= 16 points

Step-by-step explanation:

[tex] \sin(c) = \frac{36}{45} = 0.8 \\ \cos(c) = \frac{27}{45} = 0.6\\ \tan(c) = \frac{36}{27} = 1.333[/tex]

Answer:

6/32 or 3/16 chance

Step-by-step explanation:

Adding all of the marbles up we get our total, 32.

We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.

Answer:

6/32 or u can simplify it to 3/16

Plzzzzz give me Brainliest!!!!!  

Answer:

y = -6/5x + 1

Step-by-step explanation:

The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1

The given parameters are:

Let the variable of the equation be x.

A linear equation is represented as:

y = Slope * x + y-intercept

So, we have:

y = -6/5 * x + 1

Evaluate

y = -6/5x + 1

Hence, the equation is y = -6/5x + 1

Read more about linear equations at:

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Answer: There are no solution

Step 1: Simplify both sides of the equation.

3(x+5)−3=2(3x+1)−3x

(3)(x)+(3)(5)+−3=(2)(3x)+(2)(1)+−3x(Distribute)

3x+15+−3=6x+2+−3x

(3x)+(15+−3)=(6x+−3x)+(2)(Combine Like Terms)

3x+12=3x+2

3x+12=3x+2

Step 2: Subtract 3x from both sides.

3x+12−3x=3x+2−3x

12=2

Step 3: Subtract 12 from both sides.

12−12=2−12

0=−10

After solving the equation, the value obtained for x is 0, which means that there is no solution for the equation.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation mentioned in the question,

3(x + 5) - 3 = 2(3x + 1) - 3x

Let's simplify the equation first,

3x + 15 - 3 = 6x + 2 - 3x

Now, rearrange the equation with similar terms on each side,

3x + 3x - 6x = 3 +2 - 15

0 = -10, then there is no solution.

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Answer:

g(7)= -4

Step-by-step explanation:

10-2(7)

10-14

=-4

The value of g(7) is -4.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) = 10 - 2x

For x = 7,

g(7) = 10 - 2 x 7

g(7) = 10 - 14

g(7) = -4

Thus,

g(7) = -4.

Learn more about functions here:

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Answer:

a

Step-by-step explanation:

Answer:

49 pages

237/3 = 79.

30+49 = 79

Answer:

= 10y − 6 is your answer

Step-by-step explanation:

option B is correct, 25y²-30y+9 is the product of (5y − 3)².

The combination of numbers, variables, and operators is known as Expression.

The given expression is (5y − 3)²

The process of determining the product of two or more numbers is Multiplication.

The expression is five times of y minus three to the power of two.

From algebraic identity we have (a-b)²=a²+b²-2ab

Now (5y − 3)²

(5y)²+3²-2(5y)(3)

25y²+9-30y

Twenty five y to the power of two plus nine minus thirty times of y.

25y²-30y+9 is the expression after product of  (5y − 3)².

Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².

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Which of the following is the product (5y − 3)2?

A. 10y − 6

B. 25y2 − 30y + 9

C. 25y2 − 9

D. 25y2 + 30y − 9

Answer: k=1

Step-by-step explanation: PQ already equals ST

Answer:

Median is 6 Mode is 10

Step-by-step explanation:

Median is the middle number when all the numbers are lined up in order.

Mode is the number that shows up most frequently.

Answer:

Mode: 10

Median: 6

Step-by-step explanation:

Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10     .......equation (1)

     2x - 5y = 12      .......equation (2)

B : 8x + 3y = 2         .......equation (1)

  12x + 16y = - 20    .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

Answer:

4:3

Step-by-step explanation:

8:6 then divide both by 2

Answer:

5% of the time or in a decimal it's 0.05

Answer:

$58.35 ÷ 3 = x

Step-by-step explanation:

$58.35 represents the price in total for all of the dresses Ann bought, 3 represents the number of dresses she bought, and x represents the price for each of the dresses.

I hope this helps you :D

Answer: it’s D which is 60%, hope it helps

Answer:

7.28

Step-by-step explanation:

You have to know the same rate for $4.16 for 4 tomatoes. Think about it

Answer:

32x +20

Step-by-step explanation:

Answer:

32x+20

Step-by-step explanation:

If you use distributive property you would multiply each number by 4. 4 times 8x is 32x and 4 times 5 is 20, and when you put those together you get 32x+20!

I hope this helps, and have a great day!