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2 years ago

How do I do this and what is the answer ?

Mathematics

1 answer:

natka813 [3]2 years ago

4 0

Answer: u r supposed to solve for substitution/add/subtract and ur answer should be (-2,9)

Step-by-step explanation:

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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

3 0

2 years ago

Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h

mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321

Number of data values = 9

Mean : $\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}$

$\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56$

Variance = $\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}$

$\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224$

Variance = $\dfrac{27394.2224}{8}=3424.2775\approx3424.28$

4 0

2 years ago

NEED HELP NOW!!!!!!!

Bad White [126]

Answer a = 5 and b = 2.

Procedure

Initially means x = 0, then

5 = a*b^0 = a*1 = a, then a = 5

When x = 1, the height is the double of 5, i.e 10 and

10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2

The a = 5 and b = 2, so the equation is y =5(2)^x

7 0

2 years ago

You are studying for your final exam on the semester. Up to this point, you received 3 exam scores of 99%, 80%, And 70%. To rece

Alchen [17]

80*4=320
89*4=356
This is the range of the addition of all 4 scores.

99+80+70=249

320-249= 71
356-249= 107

[71, 100] would be the answer, unless you can get extra credit on the final.

5 0

3 years ago

Read 2 more answers

Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.

34kurt

Step-by-step explanation: Do You Want Me To Find All The Values ?

3 0

2 years ago