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erica [24]
4 years ago
14

Evaluate by correctly positioning the decimal point: 42.291 divided by 10^-4

Mathematics
1 answer:
Gelneren [198K]4 years ago
8 0

Answer:

By evaluating correctly the answer is 422910.

Step-by-step explanation:

Given:

42.291 divided by 10^-4.

Now, evaluating:

42.291\div 10^{-4}

Now, we will change the exponent from negative to positive.

42.291\div \frac{1}{10^{4}}

Now, we change the division to multiplication.

42.291\times 10^{4}

And, we will break the exponent.

42.291\times 10\times 10\times 10\times 10

=42.291\times 10000

=422910.

Therefore, by evaluating correctly the answer is 422910.

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The sum of a number and 8 is 15
kodGreya [7K]
You mean, what is this number?

we can rephrase it like this: the sum of a number x and 8 is 15

which is:

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To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 52 numbers (1 through 52.) The orde
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Answer:  14,658,134,400

<u>Step-by-step explanation:</u>

There are 52 numbers to start with.  After choosing the first number, there are 51 numbers remaining, etc.

1st   and   2nd   and   3rd    and   4th  and   5th  and  6th

52    x       51       x      50      x       49    x      48     x     47  = 14,658,134,400

You can also find the answer using the following formula:

\dfrac{52!}{(52-6)!}=\dfrac{52!}{46!}=\dfrac{52\times 51\times 50\times 49\times 48\times 47 \times 46!}{46!}\\\\\\.\qquad \qquad \qquad \quad = 52\times 51\times 50\times 49\times 48\times 47\\ \\\\.\qquad \qquad \qquad \quad =\large\boxed{14,658,134,400}

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If f(2) = 13 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?​
timofeeve [1]

Answer:

23

Step-by-step explanation:

We are given that

f(2)=13

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We know that

f'(x)=\frac{f(b)-f(a)}{b-a}

Using the formula

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f(7)-13\geq 10

f(7)\geq 10+13

f(7)\geq 23

The small value of f(7) can be 23.

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3 years ago
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