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rodikova [14]
3 years ago
14

Given m || n, find x.

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

What are we finding?

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The number of daily sales of a product was found to be given by S = 600xe−x2 + 600 x days after the start of an advertising camp
Elena-2011 [213]

Answer:

a. 20520

b. 12600

Step-by-step explanation:

Given the function S = 600xe^-x² + 600.

a. To find the average, we have to find the definite integral of the function because average, as it is known, is the sum of data points divided by the size of its dataset, this can be used for discrete data. Integral formula is just the continuous form of average, so we are using integral because we were given an interval of x= 0 to X = 30.

Let's integrate 100xe^x² first. Let –x² = u, this means –2xdx = du and we have dx = –du/2x. Also, when x = 0, u = –(0)² = –0 and when x = 30, u = –(30)² = –900. When we make our substitutions we have:

–600(xe^udu)/2x = –600(e^udu)/2 upon integrating that we have –600(e^u)/2. Applying our interval we have

–600[(e^900)/2 – (e^0)/2] ≈ – [– 3.7 – (1/2)] = –600 (–4.2) = 600 x 4.2 = 2520

Now let's integrate 600, with the interval x = 0 to x = 30 (we are using this interval here because the substitution we made didn't affect this).

We have, upon integrating:

600x.

Substituting our intervals we have:

600(30 – 0) = 600 x 30 = 18000.

Adding that up we have: 2520 + 18000 = 20520.

b. The same method is needed, just difference of interval.

Therefore, after integrating the first component with intervals u = 900 to u = 2500 (from x² = u) we have:

–600[(e^2500)/2 – (e^900)/2] ≈ –600[2.7 – 3.7] = –600(–1) = 600.

Then for the second component:

600x using x = 30 to x = 50

600(50 – 30) = 600 x 20 = 12000.

Adding that up we have:

12000 + 600 = 12600.

4 0
2 years ago
Anyone know the answer I’m lost…
Artist 52 [7]

Answer:

#1: -1

#2: 1

Step-by-step explanation:

Anything raised to  the 0 power is 1, but in question 1 the negative is outside the parenthesis, so it makes it -1.

5 0
2 years ago
Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be
Bumek [7]

Answer: 10 cats

Step-by-step explanation:

3/2

15/x

3*5=15

2*5=10

3/2=15/10

7 0
2 years ago
Read 2 more answers
Simplify -3i sqrt -40<br><br> Enter your answer in simplest radical form
Mariulka [41]

Answer:

Step-by-step explanation:

-3i  √(-40) = -3i √40i²    ...(i² = - 1)

                 = -3i √40 i

              -3i  √(-40)  =   3√40

6 0
3 years ago
You earned the following scores on four english tests: 96, 88, 74, and 76. The greatest score you can earn on a test is 100. Is
svetlana [45]

Answer:

No

Step-by-step explanation:

96+88+74+76=334/4=83.5

96+88+74+76+100=434/5=86.8

The average can't be higher than a 91%

5 0
2 years ago
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