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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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Sophia earned $1,024 in 24.75 hours. How many dollars did she earn per hour? (Round to the nearest hundredth ) (UNIT RATES QUEST
Gala2k [10]

Answer:

$41.37

Step-by-step explanation:

Divide 1024 by 24.75

7 0
3 years ago
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Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.
fredd [130]

Solution

- 89 gallons contains 40 gallons twice such that:

89=40+40+9

- This means that we can find at least 200% of 40 gallons in 89 gallons. This gives us what to expect.

- To get the percentage we are looking for, we should use the formula:

\frac{\text{new}}{\text{old}}\times100\text{ \%}

New, in this case, is 89 gallons, Old is 40 gallons.

- Thus, we can calculate the percentage as follows:

\begin{gathered} \frac{89}{40}\times100 \\ =2.225\times100 \\ =222.5\text{ \%} \end{gathered}

Thus, the answer is 222.5%

8 0
1 year ago
Arrange the summation expressions in increasing order of their values.
nalin [4]
We'll solve for each one of them:

\sum_{i=1}^{4}4(5)^{i-1} = (4(5)^{1-1}) + (4(5)^{2-1}) + (4(5)^{3-1}) + (4(5)^{4-1})
=4+20+100+500 = 624

\sum_{i=1}^{5}3(4)^{i-1} = (3(4)^{1-1}) + (3(4)^{2-1}) + (3(4)^{3-1}) + (3(4)^{4-1}) + (3(4)^{5-1})
=3+12+48+192+768=1023

\sum_{i=1}^{2}5(6)^{i-1} = (5(6)^{1-1}) + (5(6)^{2-1})
=5+30=35

\sum_{i=1}^{4}5^{i-1} = (5^{1-1})+(5^{2-1})+(5^{3-1})+(5^{4-1})
=1 + 5+ 25+125 = 156

So, our totals are: 624, 1023, 35, and 156. So clearly, 1023 > 624 > 156 > 35. W can write it as (your answer):

\sum_{i=1}^{2}5(6)^{i-1}

Hope this helps! If anything is confusing, you can always DM me.
3 0
3 years ago
Read 2 more answers
What does scale factor mean?
mamaluj [8]
"A scale factor is a number which scales, or multiplies, some quantity. ... In the field of measurements, the scale factor of an instrument is sometimes referred to as sensitivity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale factor." (not my wording but i hope this helps)
4 0
3 years ago
Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term
sammy [17]
<h2>Answer:</h2>

Multiplication.

<h2>Step-by-step explanation:</h2>

Given functions:

f(x) = 2x - 1

g(x) = 2x + 4

Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term

i. Addition.

f(x) + g(x)

(2x - 1) + (2x + 4)

2x - 1 + 2x + 4

4x + 3

Here, the x term has a coefficient of 4

ii. Subtraction

f(x) - g(x)

(2x - 1) - (2x + 4)

2x - 1 - 2x - 4

-5

Here, the x term does not exist or has a coefficient of 0

iii. Multiplication.

f(x) * g(x)

(2x - 1) * (2x + 4)

4x² + 8x - 2x - 4

4x² + 6x - 4

Here, the x term has a coefficient of 6

iv. Division

Division is not exactly applicable here since there are not terms cancelling out.

Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6

7 0
3 years ago
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