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Kipish [7]
3 years ago
14

How do you write the standard number 64,090,000,000 in scientific notation?

Mathematics
1 answer:
Degger [83]3 years ago
5 0
Step 1: Put a decimal point at the end of the number: <span><span>64090000000.
</span>Step 2: Move the decimal point 10 spaces to the left:  </span><span>6.4090000000
</span>Number Part: 6.4090000000 aka 6.409⋅<span>10Exponent Part: 10
Answer: 6.409 x 1010</span>

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Find<br> ∫^[infinity]_-[infinity] xe^-x^2 dx.
mote1985 [20]

Answer:

Zero

Step-by-step explanation:

We are to find

\int\limits^{infinity} _{-infinity} xe^-x^2 dx.

Here the integral is of the form x varying from negative to positive

And negative limit = positive limit in dimension

Let us assume f(x) =xe^{-x^2}

A function is odd if f(x) = -f(-x) and even if f(x) = f(-x)

Let us check f(-x) = -f(x)

So f is an odd function.

As per properties of integration, we have

\int\limits^a_{-a}  {f(x)} \, dx=0 if fis an odd function.

Our function f is odd and a = infinity

So we can apply this rule to find out the

integral value is zero.

3 0
3 years ago
A website randomly creates an initial password for people when they first sign up for an account. The password consists of five
sashaice [31]
This is a non replacement question, so each letter decreases by 1.

No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.

First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).

21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22

2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.

Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473

Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846

3 0
3 years ago
Read 2 more answers
Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought
svet-max [94.6K]
Hi! Kyle had 4/5 of him money remaining which is $ 120 so the total amount of money he had was $150. So the cost of the clothes was $30
6 0
3 years ago
HELP !!!!<br><br> Evaluate the expression for the given value of the variable <br><br> 60/m; m = 5
Savatey [412]

Answer: 12

Step-by-step explanation:

5 0
2 years ago
A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f
vredina [299]

Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

5 0
3 years ago
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