[Related Rates]Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 16 cm^2? ...?

Answers

Answer 1

Answer: Below is the solution:

A(final)=16cm^2 ds/dT=6 da/dT=?

A=(s)^2 A=16cm^2 , s=sqrt(A) , s=sqrt(16) , s=4cm

da/dT=2(s)(6cm/sec) , da/dT=12cm/sec(s) , da/dT=12cm/sec (4cm)

Answer should be da/dT=48cm^2/sec

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NEED HELP!Every evening Jenna empties her pockets
and puts her change in a jar. At the end
of the week she counts her money. One
week she had 50 coins, all of them dimes
and quarters. When she added them up,
she had a total of $10.25.

Let d = number of dimes and
q = number of quarters.

Answers

d + q = 50

10d + 25q = 1025

Multiply the first equation by 10.

10(d + q = 50) --> 10d + 10q = 500

We combine this with the second equation

10d + 25q = 1025
10d + 10q = 500

--------subtract--------
15q = 525 iff
q = 35

Plug in q = 35 into any of the original equations,

d + q = 50
d + 35 = 50 iff
d = 15

There are 15 dimes, and 35 quarters.

the equation would be d+q=$10.25

Y-0.45=-2.9 need assistance

Answers

Y = -2.45

In order to isolate Y, you must add 0.45 to the other side of the equal sign, since you are to add 0.45 to -0.45 to isolate Y.

Y = -2.45 Y = -2.45 Y = -2.45

Premonition : predestination ::a. forecast : weather
b. expectation : fulfillment
c. fear : accident
d. warning : fate

Answers

premonition is a strong feeling that something is about to happen, especially something unpleasant. and predestination is if you think everything happens for a reason and we have no control over our own futures.

final answer is I would say B

8 is 50% 0f what number

Answers

'is' in mathematics means equal
'of' in mathematics means multiplication

Translating 8 is 50% of what number into an equation, we get:

8 = 50% * x

50%, or 50 percent, is nothing but 50 over 100 or 50/100, which is the same as 1/2.

8 = 1/2 * x

Multiply 2 on both sides.

8 * 2 = 1/2 * 2 * x

16 = x

x = 16

8 is 50% of 16.

x=is the number.
50% of x=8
(50/100)x=8
x=(8*100)/50=16

Answer: 8 is 50% of 16

Are 2/3 and 5/6 equivalent ratios. Justify your answer

Answers

No because u would multiply to get a common denominator and it would be 4/6 5/6

Answer:

no they are not because 2/3 is equal to .6 and 5/6 is equal to .83

Step-by-step explanation:

Fred Johnson total insurance premium is 1,200. His employer pays 60% of the total premium. How much does Fred pay?

Answers

we can set up a proportion to find this

60 x
--- = ----
100 1200

then we cross multiply and divide to solve

60 times 1200 is 72000 divided by 100 is 720

now we know his employer pays 720 out of 1200

we subtract to find out how much he pays

1200-720 is 480

fred pays 480

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