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4 years ago

How do I solve this question??

Mathematics

2 answers:

Karolina [17]4 years ago

8 0

What the one other person said

masya89 [10]4 years ago

3 0

y = 30e is the equation (no y-intercept)

Therefore, plugging in 4 and 6 enables us to fill in the chart.

4 x 30 = 120

6 x 30 = 180

4,120

6,180

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Step-by-step explanation:

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3 years ago

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4 years ago

Read 2 more answers

A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

solving for $\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}$

We need to find the value of r, which can be obtained by using the condition that in that exact time

$\displaystyle V=\frac{2048}{3}\pi\ cm^3$

$\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3$

Simplifying and isolating r

$\displaystyle r^3=512$

$\displaystyle r=\sqrt[3]{512}=8\ cm$

Replacing in the rate of change

$\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}$

$\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }$

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

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3 years ago

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations

dimulka [17.4K]

Answer:

a. 0.80

b. $80

Step-by-step explanation:

a. The expected value, E(Y) is the sum of: [(each of the possible outcomes) × (the probability of the outcome occurring)]. In more concrete terms, the expectation is what you would expect the outcome of an experiment to be on average:

$E(Y)=S_yP(Y=y)\\\\=0\times 0.5+1\times 0.25+2\times 0.20+3\times 0.05\\\\=0.80$

Hence the expected value E(Y) is 0.80

b. From a above we have the expectation as E(Y)=0.80.

-The expected amount is calculated by multiplying expectation by the surcharge:

$Ex \ Amount= E(Y)\times surcharge\\\\=0.80\times 100\\\\=80$

Hence, the expected amount of surcharge is $80

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3 years ago

Find x. Round your answer to the nearest tenth of a degree.

RoseWind [281]

Answer:

41.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 9/12

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 (9/12)

x = 41.41

To the nearest tenth

x = 41.4

8 0

3 years ago