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adelina 88 [10]

3 years ago

6

What is the correct inverse function for f(x)=In5x?

2 answers:

telo118 [61]3 years ago

8 0

$y = \ln (5x)\\
e^y=5x\\
x=\dfrac{e^y}{5}\\
\boxed{f^{-1}(x)=\dfrac{e^x}{5}}$

Mashutka [201]3 years ago

8 0

$f(x)=\ln5x\\\\\ln5x=y\\\\e^{\ln5x}=e^y\iff5x=e^y\ \ \ |divide\ both\ sides\ by\ 5\\\\x=\dfrac{e^y}{5}\\\\\boxed{f^{-1}(x)=\dfrac{e^x}{5}}$

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A hungry math teacher ate 3 steak tacos, 2 chicken tacos, and 5 potato tacos. What is the ratio of chicken tacos to TOTAL tacos

natali 33 [55]

Answer:

the ratio is 1:5 or 20%

Step-by-step explanation:

3(steak)+2(chicken) + 5(potato) = 10(all tacos)

2(chicken tacos)/10(all tacos) = 1/5 or 0.2

7 0

3 years ago

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If an object is dropped from a height of 144 feet, the function h(t)=-16t^2+144 gives the height of the object after t seconds.

shtirl [24]

Answer:

A. 3s

Step-by-step explanation:

The height of the object after t seconds is given by:

$h(t) = -16t^2 + 144$

When will the object hit the ground?

It hits the ground after t seconds, and t is found when $h(t) = 0$ . So

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$0 = -16t^2 + 144$

$16t^2 = 144$

$t^2 = \frac{144}{16}$

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$t = 3$

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5 0

3 years ago

Given the geometric sequence where a1=1 and the common ratio is 6, what is the domain for n?

kari74 [83]

We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.

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$a_n$ = nth term of sequence,

$a_1$ = 1st term of sequence,

r = Common ratio,

n = Number of terms in a sequence.

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4 years ago

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Nutka1998 [239]

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The t-score for a level of confidence $(1-\alpha)$ is given by :_

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Then , significance level : $\alpha: 1-0.80=0.20$

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Then , the degree of freedom for t-distribution: $df=n-1=40-1=39$

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3 years ago

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pshichka [43]

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6 0

4 years ago

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