The height of a rectangle is increasing at a rate of 11 centimeters per hour and the width of the rectangle is decreasing at a rate of 9 centimeters per hour. At a certain instant, the height is 3 centimeters and the width is 8 centimeters. What is the rate of change of change of the area of the rectangle at that instant?​

Answers

Answer 1

Answer:

-39 cm²/h

Step-by-step explanation:

The area of the rectangle is A = hw where h = height and w = width.

So the rate of change of area with respect to time is

dA/dt = d(hw)/dt

dA/dt = hdw/dt + wdh/dt

Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)

So, dA/dt = hdw/dt + wdh/dt

dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)

dA/dt = 33 cm²/h - 72 cm²/h

dA/dt = -39 cm²/h


Related Questions

Name another ordered pair that is on the graph
of the equation represented by the table.

HELP MEH ASAP PLS PLZ PLZ

Answers

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

Marsha bought a new car for $21,152.25.
The options she picked cost $2,150. The
sales tax was $1,007.25. What was the base
price of Marsha's car?

Answers

Answer:

17,995

Step-by-step explanation:

21,152.25 - (2,150 + 1,007.25) = 17,995

Answer:

$17,995

Step-by-step explanation:

If you want to find the base, find out how much it costs without the options and the sales tax as they're just taxes and etc added to the car.

2,150 + 1,007.25 = 3157.25 (Total amount of taxes)

21,152.25 - 3157.25 = 17,995

A $129.50 stereo is discounted 40%.The next month the sale price is discounted 60%. Is the stereo now free if not what is the sale price?
Let’s see if any of you get it my teacher asked me this on Thursday I got it right. Must shows step-by-step explanation

Answers

Answer:

no, it is not free. $31.08 is the sale price

Step-by-step explanation:

1 - .4 = .6 –––––> paying 60% of original price with first discount

129.50 • .6 = $77.70

1 - .6 = .4 ––––––> paying 40% of the discounted price

77.70 • .4 = $31.08 is the sale price

A person places $37700 in an investment account earning an annual rate of 5%,

compounded continuously. Using the formula V = Peșt, where Vis the value of the

account in t years, P is the principal initially invested, e is the base of a natural

logarithm, and r is the rate of interest, determine the amount of money, to the

nearest cent, in the account after 16 years.

Answers

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A  = 37700(1.05)^16

A = 37700(2.1829)

A = 82,294.37

Hence the amount of money, to the  nearest cent, in the account after 16 years is 8,229,437 cents

find the value of x please help
Will give brainliest​

Answers

X =25
since the angles are equal to each other, and the same, you can make each angle equal to each other and solve for x:
5x+7=132
5x=125
X=25

Factor
4y(3x+2)-2(3x+2)

Answers

Answer:

[tex]2(3x+2)(2y-1)[/tex]

Step-by-step explanation:

Hope I helped!

Answer:

(4y − 2)(3x + 2)

Step-by-step explanation:

4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]

The children at Colin Powell Middle School donated 400 can goods to help
feed the homeless. 100 of the cans were corn. When the children sort the
cans in boxes, what is the probability (in percent) of the first can pulled
being a can of corn?

Answers

Answer:

25%

Step-by-step explanation:

400 divided by 100 = .25 which is 25%

which graph represents the inequality x > 15

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Please answer these in a fraction form. Thank you have an AMAZING day!

1. 2/5 ÷ 3 1/10 = ?
2. 4 1/3 ÷ 4/7 = ?
3. 3 1/6 ÷ 9/10 = ?
4. 5/8 ÷ 2 7/12= ?​

Answers

Answer:

use Photomath app to answer your question.

given that (-7,-1) is on the graph of f (x) find the correponding point for the function f (x+1 )

Answers

Answer:

X=-7 so -7+1 is -6 hope this helps

the base of a triangular pyramid has a base of 3 inches and a height of 2 inches the height of the pyramid is 6 inches find the volume​

Answers

Answer:

6

Step-by-step explanation:

3 x 2 =6

6 / 2 =3

3 x 6 = 18

18 / 3 = 6

                     So your answer is 6

look back at the question on page 437. how does this tall tale explain changes in nature? provide evidence to support your answer from Paul Bunyan​

Answers

Answer:

ayeee yooooo my guy someone is not gonna read the whole book for 5 points.

Step-by-step explanation:

i'm sorry but did you read to question?? you sure you did?

What is 5c - 3d - 12c + d - 6 written in simplest form

Answers

Answer:

the answer is -7c - 2d - 6

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

brainly, please?

The required simplest form of the given expression is given as -7c -2d -6.

Given that,
To determine the simplest form of the given expression 5c - 3d - 12c + d - 6.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
= 5c - 3d - 12c + d - 6
Adding alike terms,
= -7c -2d - 6

Thus, the required simplest form of the given expression is given as -7c -2d -6.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Anyone 100% know dis answer

Answers

Answer:

Rotational symmetry

Step-by-step explanation:

The rectangle rotated 180 degrees to get the transformed rectangle.

-2 - 5r = 18
help mee

Answers

Answer:

r = -4

Step-by-step explanation:

-2 - 5r = 18

+2         +2

––––––––

-5r = 20

/5     /5

––––––

-r = 4

/-1  /-1

–––––

r = -4

Simplify the following expression completely: v^13*v^14

Answers

Answer:[tex]\boxed{\boxed{\sf{v^{27}}}}[/tex]Solution Steps:

____________________________

1.) Multiply:[tex]13+14=27[/tex]

 - When multiplying powers of the same base, all you have to do is add the exponents to multiply them.

So your answer is [tex]\bold{v^{27}}[/tex].

____________________________

HELP PLEASE IT IS NOT 1/5 AND IT IS NOT 20% OR 80%!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It would be 80% of the number. It would become 5/4 times smaller. I think.

Step-by-step explanation:

the answer is 5/4!!!

Find the value of x.
F
8
E
Х
Н.
Х
-

Answers

Answer:

Step-by-step explanation:

x = 8

A triangle has side lengths of (6p - 7) centimeters, ('7p - 2) centimeters, and
(69 - 9) centimeters.

Answers

Answer: 10

Step-by-st

find each unknown. Double a known fact.
9 x 4=​

Answers

Answer: 36

Step-by-step explanation:

(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture

Answers

Each of these limits correspond to the derivative of some function f(x) at a point x = a.

Recall the limit definition of a function f(x) :

f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h

Then if x = a, we get

f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h

From here, it's easy to identify what each function and point should be:

(a) f (a + h) = (1 + h)¹ʹ³   →   f(x) = x ¹ʹ³ and a = 1

(that's a 1/3 in the exponent)

(b) f (a + h) = cos(π + h)   →   f(x) = cos(x) and a = π

(c) f (a + h) = 5 (4 + h)⁵   →   f(x) = 5x ⁵ and a = 4

(d) f (a + h) = exp(4h) = exp(4 (0 + h))   →   f(x) = exp(4x) and a = 0

(where exp(x) = )

Factor completely. Be sure to factor out the GCF when necessary. Select "Prime" if the polynomial cannot be factored.

Answers

Answer:

There is no problem to factor.

Step-by-step explanation:

George paid $49 for a pair of shoes that was on sale for 20% off the
original price. What was the original price of the shoes?

Answers

Answer:

58.8

Step-by-step explanation: Im pretty sure this is the answer but im sorry if im wrong UwU

Find the slope of the line passing through the points (-7, 5) and (2,5).

Answers

There is no slope the y axis is the same in both

Answer:

slope = 0

Step-by-step explanation:

Use formula to find the slope: m = (y2 - y1) / (x2 - x1)

Set (x1, y1) = (-7, 5)

Set (x2, y2) = (2, 5)

m = (5 - 5) / (2 - (-7))

m = (5 - 5) / (2 + 7)       FYI, negative * negative = positive

m = 0 / 9

If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.

Simplify the expression 7(4p)

Answers

Answer:

28p

Step-by-step explanation:

7x4=28 and then you have to put the p after it.

28p because 7•4 is 28 and when simplified it would be 28p


Express 12/7 as a mixed number

Answers

Answer:

1 5/7

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Answer:

[tex] \frac{12}{7} = 1 \frac{5}{7} [/tex]

Can some body help me with this

Answers

Answer:

1 is 11

3 is 12

5 is the same answer as 3

Step-by-step explanation:

for #1 the angle is 90 degrees and its asking to find x you can set up the equation by sayin 46+4x=90 you substract 46 by 46 and subtract 90 by 46 then you will get 4x=44 dived 4 on each side and you will get x = 11

for #3 the angle is equal to 180 you set up the eqation by saying 36+12x=180 you subtract 36 by itself and 180 by 36 then you will get 144 now your equation is 12x = 144 now divide 12x by  12 and 144 by 12 and you will get x = 12

Write the numerical co-efficient of each term of the following expressions:

A) − xyz – 3oy + 6yz +4​

Answers

Answer:

Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are

-1, 30 and 6.

Step-by-step explanation:

Coefficients are numbers ahead of the variables (letters).

The number 4 is called a constant. A constant is not a coefficient.

The coefficient (number ahead of the letters)  of -xyz is -1.

Hope this helps.

11. There are 14 boys and 16 girls in Mr. Allen's
class. What is the ratio of girls to the total
number of students in the class? Write the
ratio in 3 ways.

Answers

Answer:

16 : 30,  16 to 30,  16/30

Step-by-step explanation:

Answer:

The ratio of boys to girls in the simplest form is 7:8

Step-by-step explanation:

There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.

Which could be the function graphed below?
f(x)= x-2
f(x)= VX-3+1
f(x) = 2x+4
f(x)= x + 1 + 8

Answers

Answer:

f(x) = √x - 2

Step-by-step explanation:

that graph is what the graph of a square root looks like translated 2 units down

since the translation is vertical, the -2 must be outside the square root

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