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chubhunter [2.5K]
3 years ago
14

Describe the end behavior of f(x) = - 2 ^ (x + 3) - 1

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer: the answer is an equation

Step-by-step explanation:

You might be interested in
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Vaselesa [24]

Answer:

\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: }  \frac{3\pi}{2}\text{ mi}

Step-by-step explanation:

The circumference of a circle with radius r is given by C=2\pi r. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle \theta^{\circ} is equal to 2\pi r\cdot \frac{\theta}{360}.

Formulas at a glance:

  • Circumference of a circle with radius r: C=2\pi r
  • Length of an arc with central angle \theta^{\circ}: \ell_{arc}=2\pi r\cdot \frac{\theta}{360}

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting r=2 into our circumference formula, we get:

C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}

8 0
3 years ago
Is 5*9=4666666445554646444646
Step2247 [10]

Answer:

No, it is 45

Step-by-step explanation:

5*9=45

6 0
3 years ago
Identify the function type that best models the data.
SVETLANKA909090 [29]
The answer is 42,8,6 that it the right answer
8 0
3 years ago
What is the diameter of circle 0?
Marina86 [1]

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

3 0
2 years ago
Please help with these math questions (Please don't answer if you don't know all of them)
lions [1.4K]
1.
volume of cone=(1/3)hpir^2
h=6
r=9
v=(1/3)6pi9^2
v=2pi81
v=162pi
3.14=pi for problem
162 times 3.14=508.68
answer is D




2. 2=r, 24=h
v=(1/3)24pi2^2
v=8pi4
v=32pi

answer is D



3. 10=h
4=r
v=(1/3)10pi4^2
v=(1/3)10pi16
v=(1/3)160pi
v=(160/3)pi

answer is C


4. 9=h
3=r
v=(1/3)9pi3^3
v=3pi9
v=27pi
pi=3.14
v=84.78
84.8 is answer


5. d/2=r12/2=6=r
r=6
h=12
v=(1/3)12pi6^2
v=4pi26
v=144pi
pi=3.14
v=425.16
v=425.2
answer is 425.2


ANSWERS

1. D
2. D
3. C
4.  84.8
5.  425.6
3 0
3 years ago
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