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3 years ago

Describe the end behavior of the function: f(x) = 1/2*2^x +3

1 answer:

7 0

Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.

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Write n times 7 as an expression

nikdorinn [45]

Answer:

Step-by-step explanation:

5 0

3 years ago

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Which describes the behavior of the function f(x)= tan^-1(x)?

Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function $tan(x)$ is defined as $y=\frac{sin(x)}{cos(x)}$ . Since the denominator is $cos(x)$ then we know that $cos(x)=0$ when $x=\frac{\pi}{2}$

We also know that the division by 0 is not defined. Therefore, the limit of $y=tan(x)$ when "x" tends to $\frac{\pi}{2}$ is infinite.

The function $tan^{-1}(x)$ is the inverse of $tan(x)$

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function $f^{-1}(x)$ . If $f(3)=8$ , then $f^{-1}(8)=3$

This also happens for the function $tan^{-1}(x)$

If when $x \to \frac{\pi}{2}, tan(x) \to \infty$ then when $x \to \infty, tan^{-1}x \to \frac{\pi}{2}$

Then, the answer is:

$x \to \infty, f(x) \to \frac{\pi}{2}$

7 0

3 years ago

Please answer quick! I've been stuck on this one a bit, I keep getting the wrong answer. (I'm not the best at math so maybe ya'l

g100num [7]

Answer:

x= 5.6

Step-by-step explanation:

Basically, if you do 7÷5 it would equal 1.4 so you would have to multiply 4x1.4 which would equal 5.6.

In conclusion 4/7 = 5.6/5

8 0

3 years ago

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Josie is training for a race. The ratio ofthe number of minutes she runs to thenumber of miles she runs is 24 to 3.She plans to

Tpy6a [65]

Answer:

80 minutes

Step-by-step explanation:

The ratio can be simplified and rewritten:

minutes : miles = 24 : 3 = 8 : 1 = 80 : 10

It will take Josie 80 minutes to run 10 miles at her 8 minutes/mile pace.

5 0

3 years ago

eight wooden spheres with radii 3 in. are packed snugly into a square box 12 in. on one side. the remaining space is filled with

ZanzabumX [31]

Vbox-vspheres

vbox=, I assume we are dealing with l=w=h
so
v=lwh=12^3=1728

vsphere=(4/3)pir^3
r=3
vsphere=(4/3)pi3^3=4pi9=36pi
8 of them so
8 times 36pi=288pi or about 904.7786842338604526772412943845 cubic inches

vbox-sphere=1728-904.7786842338604526772412943845=823.2213157661395473227587056155
space filled by packing beads is about 823.22 cubic inches
beads percent is 823.2213157661395473227587056155/1728 times 100=47.64% filled by beads

3 0

3 years ago