Brandy needs 1/4 tsp of

The radius of a right circular cylinder is increasing at a rate of 9 inches per minute and the height is decreasing at a rate of

pav-90 [236]

Answer:

$\frac{dA}{dt}=1840.97 in^{2}/min$

Step-by-step explanation:

The equation of the surface of the right circular cylinder is:

$A=2\pi rh+2\pi r^{2}=2\pi(rh+r^{2})$

Now, the rate change of this area will be:

Using the change rule

$\frac{dA}{dt}=\frac{\partial A}{\partial r}\frac{\partial r}{\partial t}+\frac{\partial A}{\partial h}\frac{\partial h}{\partial t}$

Where:

$\frac{\partial h}{\partial t}$ is the rate change of height (-16 in/min)
$\frac{\partial r}{\partial t}$ is the rate change of radius (9 in/min)

$\frac{dA}{dt}=\frac{\partial A}{\partial r}9+\frac{\partial A}{\partial h}(-16)$

$\frac{dA}{dt}=2\pi(h+2r)9-2\pi r16=2\pi((h+2r)9-16r)$

Now, r = 16 and h = 29

$\frac{dA}{dt}=2\pi((29+2*16)9-16*16)$

$\frac{dA}{dt}=1840.97 in^{2}/min$

I hope it helps you!

8 0

4 years ago

1. A farmer is planting a 47-acre field of green beans. How many seeds must be purchased if the farmer plants 140,000 seeds per

Sedaia [141]

Answer:

Step-by-step explanation:

There are 47 acres and the farmer is planting 140,000 per acre.

You got to times 140,000 by 47 but you can multiply 14 by 47 instead and place the zero later.

So take 10 times 47 and that is 470

Then take 4 times 47 and that is 188

Add 470 and 188 and you get 658

Take 658 a place the four zeros and you get 6,580,000 seed

6 0

3 years ago

Sam and Mathew went to Taco Bell for lunch Sam ordered 2 tacos and 3 burritos while Matthew ordered 3 tacos and 5 burritos Sam’s

Alecsey [184]

Answer

supreme or re

gular

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

1.)Which two numbers on the number line have an absolute value of 1?

Naddik [55]

Absolute value is defined as the distance of a number from zero on a number line.

Since, the distance can never be negative, hence, absolute value can never be negative.

For example 1 is 1 away from the origin and -1 is also, 1 away from the origin.

Therefore, absolute value of both -1 and 1 is 1. Mathematically, we can write

|-1| =1

|1|=1

Therefore, the number 1 and -1 on the number line have an absolute value of 1.

4 0

3 years ago

If three pears and four oranges cost $4.85 and three pears and ten oranges cost $8.75 what is the cost of a pear and an orange

marishachu [46]

Answer:

1 pear = $0.75; 1 orange = $0.65

Step-by-step explanation:

(1) 3P + 4O = 4.85

(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)

3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms

6O = 3.90 Divide each side by 6

O = $0.65 Substitute into Eqn (1)

3P + 4×0.65 = 4.85

3P + 2.60 = 4.85 Subtract 2.60 from each side

3P = 2.25 Divide each side by 3

P = $0.75

Oranges cost $0.65 each and pears are $0.75 each

4 0

3 years ago