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3 years ago

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A scuba diver was swimming at a depth of 8 meters below the surface of the water. He saw an eel swimming 3 meters above him and

a squid swimming 4 meters below him. Which of the following methods shows a correct way to find the depth at which the eel was swimming?

2 answers:

s344n2d4d5 [400]3 years ago

8 0

8-3=5....................

Trava [24]3 years ago

6 0

You have to do 8-3
and 8-3=5
so the answer is 8-3=5

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Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.

Elden [556K]

Answer:

The answer is " $cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})$ "

Step-by-step explanation:

Given:

$g(x) = (x-e)^3e^{-(x-e)}$

Find critical points:

$g(x) = (x-e)^3e^{(e-x)}$

differentiate the value with respect of x:

$\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]$

critical points $g'(x)=0$

$\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3$

So,

The critical points of $(x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})$

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3 years ago

1. -88 = -3(4m + 5) - (1 - 3m)

Vadim26 [7]

Answer:

m=8

Step-by-step explanation:

-88=-3(4m+5)-(1-3m)

-88=-12m-15-(1-3m) <- Distributive Property

-88=-12m-15-1+3m <- Open () if there is a negative negative the symbol equals positive

-88=-9m-16 <- Simplify

0=-9m+72 <- Add 88 to both sides

9m = 72 <- Add 9m to both sides

9m = 72

/9 /9

m=8

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3 years ago

According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduate

Romashka-Z-Leto [24]

Answer:

C. 30

Step-by-step explanation:

-It is a statistical rule of thumb that the size of a sample must be $n\geq 30$ .

-This size is deemed adequate for the Central Limit Theorem to hold.

-At this size or greater, the shape of the resultant distribution is normal.

#It should however be noted, that for a normal distribution the CLT holds even for smaller sample sizes.

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3 years ago