[tex]\int_{1}^{7} \frac{1}{x^{8}} d x[/tex]
\int_{1}^{7} \frac{1}{x^{8}} d x​

Answers

Answer 1

Use the power rule,

[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

with [tex]n=-8[/tex]. It follows by the fundamental theorem of calculus that

[tex]\displaystyle \int_1^7 \frac{dx}{x^8} = -\frac1{7x^7} \bigg|_{x=1}^{x=7} = -\frac17 \left(\frac1{7^7} - \frac1{1^7}\right) = \boxed{\frac17 - \frac1{7^8}}[/tex]


Related Questions

Which circle shows AB that measures 60 degrees

Answers

Answer:

The central angle is the measure of minor arc AB. The central angle here is 60 degrees, shown by the third circle down from the top. This is the right answer.

Step-by-step explanation:https://brainly.com/question/12790519#:~:text=The%20central%20angle%20is%20the,This%20is%20the%20right%20answer.

A color printer prints 23 pages nine minutes how many minutes does it take per page

Answers

Answer: 2 pages

Step-by-step explanation:

Answer:

2.55555555555555555555555555556

i need help asap:

The lengths of a triangular plot of land
measure 19 yards, 23 yards and 27 yards.
Find the largest angle for this plot of
land.

Answers

Answer:

79.4° to the nearest tenth of a degree

Step-by-step explanation:

You are trying to find the angle opposite the side of length 27.

Let the length of that  side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for

Using the law of cosines

[tex]c = \sqrt{a^{2} + b^{2} - 2abcos C}[/tex]

[tex]27 = \sqrt{19^{2} + 23^{2} - 2(19)(23)cosC}[/tex]

[tex]27^{2} = 19^{2} + 23^{2} - 2(19)(23)cosC[/tex]

729 = 361 + 529 - 874cosC

729 = 890 - 874cosC

-161 = -874cosC

-161/-874 = cosC

.1842105.... = cosC

C = arccos .1842105.... = 79.4° to the nearest tenth of a degree

PLs HALP will give brainliest

Answers

Your answer for this question will be C

Answer:

C. 1/3x - 9

Step-by-step explanation:

Ok so....

-3 + -6 is just -9 so instead of writing all that we can just write -9.

So what you should have now should look something like this

2/3x - 1/3x - 9             ( I just put it in a different order )

So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this

1/3x - 9

Which is the answer!!

TAADAA!!

Hope this helps. Have a good day!

A 15-passenger van is
rented for a family vacation.
The van rental is 460 per
day, plus a $145 insurance
fee. How many days can the
van be rented if they want to
spend no more than $625 on
the van rental. Write and
solve an inequality

Answers

Answer:

Inequality is 460x+ 145 [tex]\leq[/tex] 625 (I can't put the less than or equal to sign down sorry)

Step-by-step explanation:

do this and show work

Answers

Answer:

first: x=1.3024

second: x=12.29

third: x=22 degrees

Step-by-step explanation:

sin 19=x/4

0.3256=x/4

x=1.3024

sin 19=4/x

0.3256=4/x

x=4/0.3256

x=12.29

sin x=3/8

sinx=0.375

x=22 degrees

If f(x) = (3+x)/ (x-3),what is f(a+ 2)?

Answers

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function such that,
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)

Courtney sold 48 cantaloupes at the farmers' market and had 23 left. Which equation could be used to find x, the number of cantaloupes Courtney had originally?

Answers

Hi there!

48-x=23

23+x=48

those would be the equatipns to find x....

Answer:

uwu

Step-by-step explanation:

uwu

What is 2/7+7/8
Help

Answers

Answer:

65/56 = 1  9/56

Step-by-step explanation:

Answer:

Step-by-step explanation:

16/56 + 49/56 = 65/56= 1 9/56

A classroom of students has their heights measured (in inches) for statistics investigation. The tallest student in the class is 71 inches tall. One student is assigned to record all the values. That student made a mistake when recording one of the values. When they meant to record the 71, they accidentally entered 711. What is the affect of this mistake on the median and IQR?

Answers

Answer:

This mistake has no effect on the median and IQR, since it will be an outlier.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Median:

The 50th percentile is called median.

Interquartile Range:

Difference between the 75th and the 25th percentile.

In this question:

Tallest student measures 71 inches, but with a mistake, it was accidentaly entered 711.

However, since the mean and the median are related to the percentiles, in the middle of the distribution, they wont be affected by an outlier such as this.

Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week​

Answers

Answer: 330 miles

Step-by-step explanation:

The distance provided for the question is:

Wrexham

18 Ruthin

21 12 Cornwen

15 33 23 Oswestry

What this means is that Ruthin and Oswestry are 33 miles apart.

Each day, Jane travels back and forth for a total of:

= 33 * 2

= 66 miles

In 5 days she would have travelled:

= 5 * 66

= 330 miles

Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:

Answers

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

If helpful, please mark as brainliest! =)

Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.

What is variance of binomial distribution?

Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.

Given random variable x follows binomial distribution.

n = 25

p = 0.85

q = 1 - 0.85 = 0.15

variance = npq = 25 * 0.85 * 0.15 = 3.1875

Learn more about variance of binomial distribution here

https://brainly.com/question/19052146

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Which angle is an alternate interior angle to 8?

Answers

Answer:

<5

Step-by-step explanation:

Interior angle Kasi eh hihi

find the area of a parallelogram with a height of "6x" and base of "9y" 30 POINTS!!!

Answers

Answer:

54xy

Step-by-step explanation:

Any 4 sided parallelogram's area is the base multiplied by its height. We know both of those, 6x and 9y

The area is, 54xy

what is the vertex of f(x)=7(x+15)^2

Answers

Answer:

y = a ( x − h ) 2 + k

Step-by-step explanation:

https://socratic.org/questions/what-is-the-vertex-form-of-y-2x-2-7x-15#243713

(15,0) is the correct answer

Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.7 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee. (Round your answer to two decimal places.)

Answers

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean 46 pounds and standard deviation 3.7 pounds.

This means that [tex]\mu = 46, \sigma = 3.7[/tex]

Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.

As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 46}{3.7}[/tex]

[tex]Z = 1.08[/tex]

[tex]Z = 1.08[/tex] has a pvalue of 0.8599

0.8599*100% = 85.99%

85.99% of airline passengers incur this fee.

Given f(x) = -(x - 5)^2 + 1, what is the value of a?

Answers

Answer:

-1

Step By Step Explanation:

Vertex Form is y=a(x-h)^2+k

In place of the A is a negative sign, since the negative sign is alone there will always be an imaginary one right behind it.

So A would be -1.

When you graph two lines to a system what are the 3 possible outcomes?

Answers

Answer:

infinite solution, one solution, no solution

Step-by-step explanation:

hope this helped:)

How do you make it 8

Answers

Answer:

I think you spend 14 points on it

Answer:

4+4=8

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

Divide.
14)4210
O A. 300 r 10
O B. 300 r 7
O C. 300
O D. 310


no rush at all lolz.!

Answers

300 with a remainder of 10

3 0 0

1 4 | 4 2 1 0

4 2

1 0

Therefore, 4210 / 14 = 300 with a remainder of 10.

300 with a remainder of 10

PLZZZZZZZZ HURRY

When plotting points on the coordinate plane below, which point would lie on the y-axis?

A coordinate plane.

(0, 1)
(7, 0)
(6, 8)
(8, 2)

Answers

Answer:

0,1 lies on y axis ......

Step-by-step explanation:

option A (0,1) point will lie on the y axis as on y axis x coordinates is 0.

if 3/4 of a certain number is equal to 4 1/2, find the number

Answers

Answer:

6

Step-by-step explanation:

3/4x = 9/2

4/3 * 9/2 = 36/6

6

The number in the mathematical statement is 6

How to determine the number?

Let the number be x.

So, the equation can be represented as:

3/4 * x = 4 1/2

Express the fraction as an improper fraction

3/4 * x = 9/2

Multiply through by 4/3

x = 6

Hence, the number is 6

Read more about products at:

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solve for n.

1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n​

Answers

Answer:

1.) 1.5972

2.) 11.4688

3.) 4.9725

4.) 1.81

5.) 29.3112

Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i).

1 1 - i
_____ * _____
1 + i 1 - i

Answers

Answer:

= 1/2 - 1/2i

Step-by-step explanation:

Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?

Answers

Answer:

5 hotdogs

Step-by-step explanation:

Deduct the price of French fries + drink from the total amount of money he has.

5.00 - 0.80 - 0.95 = 3.25

Divide the amount of money left with the amount of money each hotdog cost.

3.25 ÷ 0.65 = 5


Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA

Answers

Answer:

Second one:

AAS

Step-by-step explanation:

searched it

Discriminant sorting

Answers

Answer: Discriminant sorting activity: Work with two other people, and find the discriminant of the quadratic equations you are given (each person should do 2). Sort them into 3 groups, and be prepared to explain how you chose your groups.

Step-by-step explanation:

1. It is the time needed for half of a substance to decay.??​

Answers

Answer:

The half-life (t1/2) is the time taken for the activity of a given amount of a radioactive substance to decay to half of its initial value.

P/S 1: Are you sure that your question is related to maths?

+ Bonus: The half-life can be calculated from the decay constant as follows: half-life = ln (2) / (decay constant).

P/S 2: Not sure which is right tho:( Really sorry about that.

Linda can drive 180 miles in 3 hours. On Tuesday, she drove for 7 hours at that rate. How many miles did she drive on Tuesday?

Answers

180/3= 60 mph
60 x 7= 420
420 miles drive on tuesday

have a good day:)

Answer: 420

Step-by-step explanation:

I took the test and got it right lol

Please answer :)

( Will give brainlst)

Answers

Answer:

thank you for give me some time

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