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Llana [10]
3 years ago
15

A half the radius, or 1/2r

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

<h2>C</h2>

Step-by-step explanation:

<u>Hope</u><u> it's</u><u> help</u><u> you</u>

<u>Thanks</u><u> me</u><u> later</u>

<u>correct</u><u> me</u><u> if</u><u> im</u><u> </u><u>wrong</u>

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Answer:

answer is 107 degrees

Step-by-step explanation:

Given is a picture of triangle with vertices D, E and F

Given that exterior angle of F = 135 degrees

Hence interior angle of F =180-135=45 degrees

Angle D = 28 degrees

Hence angle E =

180-(28+45)\\=107

Hence answer is 107 degrees

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Write the equation For a Line that intersects points(1,3) And (2,5) which one is a.y=x+2 B.y=2x+1. C.y=3x-3. D.Y=-x+3 For me is
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(1,3) ,\ \ (2,5) \\ \\ \\ First \  find \ the \  slope \ of \ the \ line \ thru \  the \  points \: \\ \\ m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }  \\ \\m=\frac{5-3}{2-1} = \frac{2}{1}=2 \\ \\Now \  use \ y = mx + b \ with  \ either \  point \  to  \ find  \ b,  \ the \  y-intercept \ : \\ \\ y=mx+b \\ \\3=2 \cdot 1+b\\ \\3= 2 +b \\ \\b=3-2=1  \\ \\  y=2x+1 \ is \  the \  answer \ B
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A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. determ
Temka [501]
The confidence interval would be (0.122, 0.278).

We first find our z-score.  We want a 95% confidence interval:

0.95/2 = 0.475

Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.

The formula we will use is:

p \pm z\sqrt{\frac{p(1-p)}{n}}

In this problem, p = 20/100 = 0.2, and n=100:

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8 0
4 years ago
Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

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B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

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C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
3 years ago
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