Need help question #4. Show steps please

Need Help Question #4. Show Steps Please

Answers

Answer 1

Answer:

C.

Step-by-step explanation:

We are given the integral:

[tex]\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx[/tex]

And we want to select its equivalent form.

We can simply divide the fraction. Therefore:

[tex]=\displaystyle \int_{1}^2\frac{x^7}{x^2}-\frac{4x^3}{x^2}+\frac{6}{x^2}\, dx[/tex]

Simplify:

[tex]\displaystyle =\int_1^2 x^5-4x+6x^{-2}\, dx[/tex]

Our answer is C.


Related Questions

What is mZ1?
820
660
1

Answers

Answer:

∠1 = 148°

Step-by-step explanation:

the triangle interior angles = 180°

the unknown interior angle = 180° - 82° - 66° = 32°

∠1 = 180° - 32° = 148°  because it is supplementary to 32°  (adds together to total 180°)

Can y’all help me on question 34?!

Answers

Answer:

c) step 3

Step-by-step explanation:

7 (y - 10) + 8 - 6 (3 + 1)

y = 13

substitute 13 for y

7 (13 - 10) + 8 - 6 (3 + 1)

solve inside the brackets:

7 (3) + 8 - 6 (4)

multiply:

21 + 8 - 24

solve:

5

For the quadratic equation f(x) = x2 + 8x + 15, identify the vertex
and one of the zeros

Answers

Answer:

vertex = ( − 4 , − 1 )

Zeros x =  − 3, -5

Step-by-step explanation:

Manuel and Kristina are reviewing like terms in the problem 3x + 3 - 4x. Manuel said that 3x and 3 are like terms because they both have threes. Kristina said 3x and -4x are like terms because they both have the same variable. Who is correct? Explain.

Answers

Answer:

Kristina

Step-by-step explanation:

Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.

Monica bought a new house and she is looking to get cable and wifi. She is looking for reasonable prices. Monica is trying to compare two different companies. Comcast is charging $60 per month and $4 for any extra channels. On the other hand, Verizon is charging $45 per month and $6 for any extra channels.

=4+60

=6+45

PLEASE HELP ASAP

Answers

Answer:

I think she should get the Verizon house hold Wifi because when you compare the prices even if Monica doesn't want any extra channels she would still save $15. Even tho the extra channel was $4 for the Comcast when you add it up you get $64 instead when you use Verizon even tho you pay $6 for extra channels you still don't get the amount for the Comcast which you save $13 by getting Verizon with $51.  

Step-by-step explanation:

At burns high school 3/5 of the students are females of the female students 1/3 of them play volleyball what fraction of the students in burn high school are girls that play volleyball

Answers

3/5 of  1/3 means 3/5 x 1/3

[tex]\frac{3}{5} \times \frac{1}{3} = \frac{3}{15}[/tex]

3/15 simplifies to 1/5

So 1/5 of the students in the high school are girls who play volleyball

how do i solve this?​

Answers

Answer:

m∠R = 60°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = ∠R

Opposite Leg of ∠R = 10√3

Hypotenuse = 20

Step 2: Solve

Substitute in variables [sine]:                                                                         [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex][Equality Property] Trig inverse:                                                                    [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]Evaluate trig:                                                                                                   [tex]\displaystyle R = 60^\circ[/tex]

Help..................

Answers

Triangle has 180 degrees:
180=2m-3+m+4+3m+5
Combine like terms
180 = 6m+6
Subtract 6 from 180
174=6m
Divide by 6
m=29

Brainliest if that helped, please :)
The sum of all the angles in a triangle is 180°.

(m+4) + (3m+5) + (2m-3) = 180°

m + 4 + 3m + 5 + 2m - 3 = 180°

6m + 6 = 180°

6m = 180° - 6

6m = 174

m = 29°

13. In the figure at the night, what is the
value of x?

Answers

These are supplementary angles meaning their measure adds to 180°

2x° + 70° = 180°

-70 -70

2x° = 110°
/2 /2


x = 55

A dinner plate has a diameter of 11 inches. What is the area?

Answers

Answer: Area of a circle= πr²

Data:

diameter=11 in

ratius=diameter/2=11 in/2=5.5 in

Area of this circular plate=π(5.5 in)²=30.25π in²=30.25 * 3.141592... in²≈

≈95.0 in².

answer :  c  95.0 in²

Please help with this

Answers

Answer:

[tex]S_{25}=555[/tex]

Step-by-step explanation:

Given that,

In an AP, the 6th term is 39 i.e.

[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]

In the same AP, the 19th term is 7.8 i.e.

[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]

Subtract equation (1) from (2).

7.8 - 39 = a+18d - (a+5d)

-31.2 = a +18d-a-5d

-31.2 = 13d

d = -2.4

Put the value of d in equation (!).

39 = a+5(-2.4)

39 = a- 12

a = 39+12

a = 51

The sum of n terms of an AP is given by :

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Put n = 25 and respected values,

[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]

Hence, the sum of first 25 terms of the AP is equal to 555.

A large hotel has five elevators. On any given day, there is an 8% chance that one elevator is broken The operate independently of one another. The Robertsons are staying in this hotel for five days. Let X represe number of days one elevator is broken during their stay What are the mean and standard deviation of X? W,-0.4.5, -0.074 W, 0.4.0, 0.61 , -2.5, 0, -1.92 O w.-4.0, 0.89​

Answers

Answer:

0.4, 0.61

Step-by-step explanation:

The mean and standard deviation of X is 0.4.0, 0.61. The correct option is B.

What is standard deviation and mean?

A standard deviation (or ) is a measurement of the degree of dispersion of the data from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Mean = sum of terms/number of terms

Therefore, the correct option is B, 0.4.0, 0.61.

To learn more about standard deviation, refer to the link:

https://brainly.com/question/23907081

#SPJ2

Convert 48 ounces to pounds.

Answers

Answer:

Step-by-step explanation:

3 lbs

Answer:

3 pounds 16oz equals 1 pound

and 48 divided by 16 is 3

give brainliest plz ༼ つ ◕_◕ ༽つ

Step-by-step explanation:

Isandro and Yvette each have a calculator. Yvette starts at 100 and subtracts 7 each time. Isandro starts at 0 and adds 3 each time. If they press the keys at the same time, will their displays ever show the same number? If so, what is the number?

Answers

Answer: 30

Step-by-step explanation:

Yvette- 100-7

Isandro- 0+3

1.) I'm going to speed up the process and multiply by 5.

Yvette: 100-7

7  × 5 = 35

100-35= 65

65-35= 30

Isandro: 0+3

3 × 5 = 15

0+15= 15

15+15= 30

2.) If they keep going on this pattern they will have the same number on the 10 round.

Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
million people, and in 2010, there were 8.7 million people.

Answers

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance​

Answers

Answer:

A (Note Reduction)

Step-by-step explanation:

A p e x of course

Answer: note reduction

Step-by-step explanation:

A PE C

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Find the derivative of the function using the definition of derivative.
State the domain of the function and the domain of its derivative.
f(x) = 1/10x-1/3

Answers

Answer:

(i) The derivative of the function is [tex]f' = \frac{1}{10}[/tex].

(ii) The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

[tex]Dom\{f(x)\} = \mathbb{R}[/tex]

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

[tex]Dom\{f'\} = \mathbb{R}[/tex]

Step-by-step explanation:

(i) Find the derivative of the function using the definition of derivative:

The derivative is defined by the following limit:

[tex]f' = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)

If we know that [tex]f(x) = \frac{1}{10}\cdot x - \frac{1}{3}[/tex], then the definition of derivative is expanded:

[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot (x+h) - \frac{1}{3}-\frac{1}{10}\cdot x +\frac{1}{3}}{h}[/tex]

[tex]f' = \lim_{h \to 0} \frac{\frac{1}{10}\cdot h }{h}[/tex]

[tex]f' = \lim_{h \to 0} \frac{1}{10}[/tex]

[tex]f' = \frac{1}{10}[/tex]

The derivative of the function is [tex]f' = \frac{1}{10}[/tex].

(ii) State the domain of the function and the domain of its derivative:

The domain of all first order polynomials (linear functions) is the set of all real numbers. That is:

[tex]Dom\{f(x)\} = \mathbb{R}[/tex]

The domain of all zero order polynomials (constant functions) is the set of all real numbers. That is:

[tex]Dom\{f'\} = \mathbb{R}[/tex]

PLS EXPLAIN HOW U GOT THE ANSWER

Sara needs to cover the top and sides of the cylinder below

diameter 6 in.
height 8 in.

About how many square inches of paper will Sara need?
O 528 in.
O 415 in.
O 207 in.
O 179 in.

Answers

415 in

take 8 times 6 four times and add them together

Write an equation to describe the linear function that fits the given characteristics.

Passes through the points (1,2) and (3,-4)

Parallel to y=1/4x+5 and passes through the point (4,8).

Answers

1/4x+7 passes through (4,8) but to make it pass through (1,2) and (3,-4) would be better for perpendicular. perpendicular is -4x+6 for (1,2) and (3,-4) which is kind of the closes i had time to play with it.

price of a visit to the dentist is $50 if the dentist fills any cavities and additional charge of $100 for cavity gets added to the bill if it doesn't find any cavities what was the cause of the visit me​

Answers

Answer:

The visit will cost you $50

Step-by-step explanation:

Set up an equation:

Variable x = number of cavities

Variable y = cost of visit

y = 50 + 100x

If you had no cavities then x will equal 0

y = 50 + 100(0)

Anything multiplied by 0 is 0

y = 50 + 0

y = 50

The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110​

Answers

Answer:

c) 135

Step-by-step explanation:

dog ratio is 3

45 ÷ 3 = 15

therefore ratio 1 is 15

ratio 9

9×15 = 135

SOMEBODY HELP ME ASAP PLSSSS ​

Answers

Answer:

A

Step-by-step explanation:

When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.

3[tex]\sqrt{5}[/tex] is approximately 6.71.

6[tex]\frac{1}{4}[/tex] is 6.25

6.55 is, well 6.55.

From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.

Are congruent triangles also similar?

Answers

Answer: yes they are

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.

Answer:

Yes

Step-by-step explanation:

While congruent triangles are similar, similar triangles may not be congruent.

Select the measures that are equal to 3 gallons. Mark all that apply.

6 quarts

12 quarts

6 pints

12 pints

24 pints

20 cups

Answers

Answer:

12 quarts 24 pints

Step-by-step explanation:

change all measurements to gallons and solve.

1 quart= 2 pints

1 galllon = 8 pints

Answer:

12 quarts 24 pints

Step-by-step explanation:

change all measurements to gallons and solve.

1 quart= 2 pints

1 gallon = 8 pints

To the nearest tenth, which is the perimeter of ABC?
61°
20
29°
B
A 9.6
o
B. 17.4
C. 27.2.
0 D 47.2

Answers

Answer:

Step-by-step explanation:

BC = 20sin(61°) ≅17.5

AC = 20cos(61°) ≅ 9.7

perimeter = 20+17.5+9.7 = 47.2

Round 53,738 to the nearest thousand.

Answers

Answer:

54000

Step-by-step explanation:

53,738

3 is in the thousands place so we look at the hundreds place

7 is 5 or above so we round the 3 up to 4

54000

(11a2b+17a-4b2+15)+(12a2b-16b2+3)=

Answers

This is kinda confusing

Answer:

232−202+17+18

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results.

Sample Service Life (hours)
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470

1. What is the sample mean service life for sample 2?

a. 460 hours
b. 495 hours
c. 515 hours
d. 525 hours

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

a. 250 hours
b. 470 hours
c. 495 hours
d. 500 hours
e. 515 hours

Answers

Answer:

1. c. 515 hours

2.  c. 495 hours

Step-by-step explanation:

Sample mean:

Sum of all values in the sample divided by the number of values.

1. What is the sample mean service life for sample 2?

Sample 2 has four values, which are:

525 515 505 515

So

[tex]M = \frac{525+515+505+515}{4} = 515[/tex]

The answer is given by option C.

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

3 samples, 12 total values. We find the mean of all these values. So

[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]

The answer is given by option C.

How to break down 14 as a prime number

Answers

To get the prime factorization of 14, we divide it by its smallest prime factor which is 2. Now, 14 is divided by the remaining prime factors 3, 5, 7, 11, and 13. 14 is only divisible by 7 and we get the quotient as 2. Thus, 14 has 2 prime factors.

Edit: No they copied me!!!

Zoom in for a better look BUT HELP PLS ITS MY FINALS! I RLLY NEED HELP

Answers

Answer:

C.

Step-by-step explanation:

The word biodiversity means the variety of life and in this case, bats

Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed

hope this helps <3

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