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Maksim231197 [3]
4 years ago
9

Do the following. (a) Find the values of p for whitch the integral converges. int_0^1 (40 1/x**p) dx p (b) Evaluate the integral

for those values of p.
Mathematics
1 answer:
IrinaK [193]4 years ago
5 0

Answer:

Step-by-step explanation:

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A 3- pack of boxes of juice costs $1.12. A 12-pack of boxes costs $4.38. A case of 24 boxes costs$8.68.Which is the best buy?
just olya [345]
First, you divide the price by the amount of units in the pack. This is how you find how much one unit is worth in that pack. So for the first pack you divide 1.12 by three, and then you have .37333 repeating, which is about 38 cents. Next is the second pack, where we divide 4.38 by 12 which is .365, which is about 37 cents. The last pack is 8.68 divided by  24 which is .361, or about 36 cents. This means that the 24 pack is the best buy.
In real life you should also consider which would be too much for you or not enough. For example,  you might not even need 24 units of juice. You might only need 12 so you don't have too much extra. But hey, this is just a math problem ;)
8 0
3 years ago
Divide a 5-inch line into two parts so that one part (a) 2 1/4 inches shorter than the other; (b) 3 times the other.
Ilia_Sergeevich [38]
Part a), solve this system of equations:
x + y = 5
x - y = 2.25
2x = 7.25
x = 3.625
y = 1.375

part b), solve this system of equations:
x + y = 5
x = 3y
y = 1.25
x = 3.75
3 0
3 years ago
Read 2 more answers
Find the slope for each of the order pair. (-2,-1) and (8,-3)
kondaur [170]

Answer:

-0.2

Step-by-step explanation:

Slope (m) =ΔY/ΔX= 8-(-2)/-3-(-1)

= -1/5

= -0.2

4 0
3 years ago
Express 56.4% as a fraction in simplest form.
laiz [17]
56.4/100 you always put your beginning number over 100
3 0
3 years ago
If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.
Ksivusya [100]

Based on the calculations, the unknown number is equal to \frac{-45}{7}

  • Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

21 +x

Multiplying the result by 3:

3\times (21+x)

84 more than two-thirds of the unknown number:

\frac{2x}{3} +84

Equating the equations, we have:

3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84

Cross-multiplying, we have:

43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}

Read more on word problems here: brainly.com/question/13170908

5 0
3 years ago
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