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zmey [24]
3 years ago
11

Choose the answer that represents the product below as a exponential

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

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Nate weighs 6 pounds more than William. William weighs 3 pounds more than Todd.
djyliett [7]

Answer:

William weighs 111 pounds.

Step-by-step explanation:

N = x+6

W = x

T = x-3

x+6+x+x-3=336

3x + 3 = 336

3x = 336 - 3

x = 333/3

x = 111

4 0
3 years ago
A parachutist's rate during a free fall reaches 198 feet per second. What is this rate in meters per second? At this rate, how m
amm1812

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

3 0
3 years ago
Please calculate this limit <br>please help me​
Tasya [4]

Answer:

We want to find:

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}

Here we can use Stirling's approximation, which says that for large values of n, we get:

n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} =  \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}

Now we can just simplify this, so we get:

\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\

And we can rewrite it as:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}

The important part here is the exponent, as n tends to infinite, the exponent tends to zero.

Thus:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n} = \frac{1}{e}*1 = \frac{1}{e}

7 0
3 years ago
Please answer the question soon! (Select all that apply)
lisov135 [29]

Answer:

Step-by-step explanation:

ES LA A

5 0
3 years ago
Prism with a length of 2 yd, a widht of 4 yd , and a height of 5yd​
lorasvet [3.4K]

Answer:

40 yd

Step-by-step explanation:

Rectangular prism formula:

A = lwh

A = (2)(4)(5)

A = 40

7 0
3 years ago
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