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inn [45]
3 years ago
6

if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which

the diameter increases when the diameter is 15cm
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

The diameter will increase at a rate of 1/30π cm/min

Step-by-step explanation:

Here we want to calculate the rate at which the diameter will increase

Mathematically, the area of a sphere is given as;

A = 4πr^2

But r = d/2

so A = 4 * π * d/2 * d/2 = πd^2

dA/d(d) = 2πd

Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π

Given dA/dt = 10

Mathematically;

d(d)/dt = d(d)/dA * dA/dt

dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min

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Vadim26 [7]

Answer:

y = 5 and x = 4.

Step-by-step explanation:

The y values are 5 times the  x values.

8 0
3 years ago
Find the slope of a line that passes through points (-3, 5) and (1, 2)
Mashcka [7]

Answer:

the slope is -3/4

Step-by-step explanation:

this is because you need to do rise/run not run/rise,  you set it up as a table

<u>x l y</u>       Then, you would just find the difference between the two x coordinates and the two y coordinates, and find whether they increase or decrease

-3,5                         you can see that from -3 to postive 1 there

 1,2                         is an increase of 4.  you can also see that from 5 to 2 there is a decrease of 3.  The y and x point have to flop places to become rise/run and it shows that the slope is -3/4 :) i hope this helps

3 0
3 years ago
An amount of $40,000 is borrowed for 11 years at 7 5% interest compounded annually. If the loan is paid in full at the end of th
valina [46]

Amount to be paid back = $ 88,624.36

<u>Step-by-step explanation:</u>

Principal amount = $ 40,000

Rate of interest = 7.5%

Number of years = 11

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Plugin the values as,

A=40000\left(1+\frac{7.5}{100}\right)^{11}

A=40000(1+0.075)^{11}

A=40000(1.075)^{11}

A=\$ 88,624.36

6 0
3 years ago
PLEASE HELP!!! here are two different strategies to find the new price of a hat after a discount of 40%. The hat was originally
Yakvenalex [24]

Answer:

Step-by-step explanation:

Method 1: Calculate 40% discount on original price, then subtract discount from original price.

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= 0.40 × $30

= $12

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Method 2:

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= 0.60 × $30

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3 years ago
Round 543,982 to the nearest thousand.
Ratling [72]

Answer:

544,000

Step-by-step explanation:

6 0
3 years ago
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