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2 years ago

The circumference of a circle is 31.4 centimeters. what is the area of the circle?

Mathematics

1 answer:

icang [17]2 years ago

4 0

Answer: 197.292

Step-by-step explanation:

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P and W are twice-differentiable functions with P(7)=2(W(7)). The line y=9+2.5(x-7) is tangent to the graph of P at x=7. The lin

fiasKO [112]

Using the product rule, we have

$m(x) = x W(x) \implies m'(x) = xW'(x) + W(x)$

so that

$m'(7) = 7W'(7) + W(7)$

The equation of the tangent line to W(x) at x = 7 has all the information we need to determine m' (7).

When x = 7, the tangent line intersects with the graph of W(x), and

y = 4.5 + 2 (7 - 7) ==> y = 4.5

means that this intersection occurs at the point (7, 4.5), and this in turn means W (7) = 4.5.

The slope of this tangent line is 2, so W' (7) = 2.

Then

$m'(7) = 7\cdot2 + 4.5 = \boxed{18.5}$

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2 years ago

Find the slope of the line shown on the graph to the right.Select the correct choice below and fill in any answer boxes within y

klasskru [66]

We can see that the line is horizontal so its slope is 0.

5 0

11 months ago

Which scatter plot shows a linear association? A or B

adelina 88 [10]

Answer:

Step-by-step explanation:

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3 years ago

What is the best way to prep for math during the summer?

Phoenix [80]

Answer:

https://www.khanacademy.org

Step-by-step explanation:

Khan Academy is free and you can choose by grade level or course. It's a personalized learning experience with videos and practice exercises that includes progress tracking.

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3 years ago

An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t

7nadin3 [17]

Answer:

The test statistics is $t = -1.7$

The Null and Alternative hypothesis are

$H_o : \mu = 47.2$ and $H_a : \mu \ne 47.2$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 47.2 miles/gallon(MPG)$

The sample size is $n = 250 \ van$

The sample mean is $\= x = 47.0$

The sample standard deviation is $\sigma = 1.9$

The level of significance is $\alpha = 0.02$

Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then

The Null Hypothesis is

$H_o : \mu = 47.2$

The alternative Hypothesis is

$H_a : \mu \ne 47.2$

The test statistics can be mathematically evaluated as

$t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }$

$t = -1.7$

7 0

2 years ago