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3 years ago

What is the range of the function graphed below? PLEASE ANSWER ASAP

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

<h3>Answer: Choice C) $-\infty < y < 2$ </h3>

This is a more complicated way to write $y < 2$

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be $(-\infty, 2)$ with the curved parenthesis to indicate "do not include y = 2 as part of the range".

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Solve for m.<br> 7<br> D= (m - 64)<br> 2<br> ==

DedPeter [7]

=(D-64)2

We move all terms to the left:

-((D-64)2)=0

We calculate terms in parentheses: -((D-64)2), so:

(D-64)2

We multiply parentheses

2D-128

Back to the equation:

-(2D-128)

We get rid of parentheses

-2D+128=0

We move all terms containing D to the left, all other terms to the right

-2D=-128

D=-128/-2

D=+64

7 0

3 years ago

The cost of a rental is 160 for 5 days. At this rate, how much does it cost to rent the tent for one day?

Olin [163]

the answer is $32 you divide 160 by 5

8 0

3 years ago

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is $\frac{25}{6}\pi \ in$

Part 2) The approximate value of the arc length is $13.1\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ in$

substitute

$C=2\pi (5)$

$C=10\pi\ in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

$\pi =3.14$

substitute

$\frac{25}{6}(3.14)=13.1\ in$

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3 years ago

The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym. Wh

Oxana [17]

Since we want to estimate the percentage of adults in the town who belong to a gym. We should take a random sample from the town itself because a store’s adult customers, or their friends, or first 20 customers every day for one week, or adults at the local park might not represent better sample for survey.

Therefore, Take a random sample of adults in the town, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

Hence, option D describes a method that will help the marketing department accurately estimate this percentage.

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3 years ago

Using 5 letters followed by 2 digits, how many passwords are possible?

Deffense [45]

Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

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3 years ago