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3 years ago

C=2pie r solve for r

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

Answer:

r = C / (2pie)

Step-by-step explanation:

C = 2pie x r

divide both sides by 2pie to isolate r

C / (2pie) = r

r = C / (2pie)

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AB and BC form a right angle at point B. If A = (-3,-1) and B = (4,4), what is the equation of BC

m_a_m_a [10]

Answer:

$y=-1.4x+9.6$

Step-by-step explanation:

If A = (-3,-1) and B = (4,4), the slope of AB is

$\text{Slope}_{AB}=\dfrac{-1-4}{-3-4}=\dfrac{-5}{-7}=\dfrac{5}{7}$

Two perpendicular lines have slopes that have product of -1:

$\text{Slopee}_{AB}\cdot \text{Slope}_{BC}=-1\\ \\\dfrac{5}{7}\cdot \text{Slope}_{BC}=-1\\ \\\text{Slope}_{BC}=-\dfrac{7}{5}=-1.4$

The equation of the line BC with slope -1.4 and passing through the point B(4,4) is

$y-4=-1.4(x-4)\\ \\y-4=-1.4x+5.6\\ \\y=-1.4x+9.6$

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4 years ago

In frequency curve the points are joined by bits of a straight line. True/False

pashok25 [27]

False. The frequency curve for a distribution can be obtained by drawing a smooth and free hand curve through the midpoints of the upper sides of the rectangles forming the histogram.

7 0

3 years ago

How do you use distributive property on s+0.08s?

Ivanshal [37]

Answer:

s(1+.08)

Step-by-step explanation:

Each term is divisible by s, so that means we can divide them by s, which we get 1+.08, therefore getting s(1+.08) (or s(1.08)).

7 0

3 years ago

Read 2 more answers

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in

GaryK [48]

Answer:

a) $f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient visits, in millions, is given by:

$f'(t)=0.001155t(t-1980)^{0.5}$

a) To find the function f(t) you integrate f(t):

$\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt$

To solve the integral you use:

$\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}$

Next, you replace in the integral:

$\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C$

Then, the function f(t) is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'$

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient visits.

Hence C' = 264,034,000

The function is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) For t = 2015 you have:

$f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7$

3 0

3 years ago

Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124

TEA [102]

Answer:

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

Step-by-step explanation:

Margin of error

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation and n is the size of the sample.

Standard deviation of 1.3

This means that $\sigma = 1.3$

She surveys 124 families

This means that $n = 124$

Margin of error and meaning:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 2.58\frac{1.3}{\sqrt{124}}$

$M = 0.3012$

The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.

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3 years ago