Integral..Could you help me,please?

Integral..Could You Help Me,please?

Answers

Answer 1

Answer:

as we know, the integral of [tex]x^{n}[/tex] is [tex]\frac{x^{n+1} }{n+1}[/tex]

so, the integral of x.[tex]2^{x}[/tex] will be found as follows:

here, we will use a trick called 'integration by parts'

let x = u and [tex]2^{x}[/tex] = v

∫uv dx = u∫v dx - ∫[(du/dx)* ∫v dx] dx

∫x.[tex]2^{x}[/tex] dx = x∫[tex]2^{x}[/tex] - ∫[(dx/dx) * ∫[tex]2^{x}[/tex] dx ] dx

∫x.[tex]2^{x}[/tex] dx = x*[tex]\frac{2^{x+ 1}}{x+ 1}[/tex] - 1 * [tex]\frac{2^{x + 1} }{x + 1}[/tex]

= [tex]\frac{2^{x} }{x + 1}[/tex]( x - 1 )


Related Questions

How much money did she earn?

Answers

Answer:

$160, basic multiplication ^^

Step-by-step explanation:

20×8=160

Answer:

$20 x 8

=$160

Multiplication

Hope it helped u if yes mark me BRAINLIEST pzllzllzl

Find AB if AC = 6x-2 AB= 2x+12 BC =3x

Answers

Answer:

AB = 40 units

Step-by-step explanation:

Given:

AC = 6 x - 2

AB = 2 x + 12

BC = 3 x

Find:

AB

Computation:

Assume, AC is a straight line

So,

AC = AB + BC

6 x - 2 = 2 x + 12 + 3 x

6 x - 5 x = 14

x = 14

AB = 2 x + 12

AB = 2 (14) + 12

AB = 40 units

Select the correct answer.
What are the domain and range of this function?
(x + 3)² - 5
A Domain: (0o,00)
Range (-00,00)
Domain: (-5,00)
Range: (-5,00)
C. Domain: (-0,00)
Range: (-5,00)
D. Domain: (-5,00)
Range: (-00,00)
Reset
Next

Answers

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex][-5,\infty)[/tex]

C

Step-by-step explanation:

Please refer to the graph.

Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

So we have the equation.

[tex]y=(x+3)^2-5[/tex]

This is a quadratic.

The domain of a quadratic is all real numbers. If you look at the graph, we can also see that the x-values will go on infinitely in both direction.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that the lowest the parabola goes is y=-5.

Therefore, our range is all values greater than or equal to -5.

In interval notation, this is:

[tex][-5,\infty)[/tex]

Note that we use brackets for the -5 because it is included in our range.

So, our answer is C

Answer:

Step-by-step explanation:

the domain and range of  y = (x+3)^2 - 5

Doman: (-∞,∞). {x|x∈R}

Range:{-5,∞),{y|y≥-5}

the solution is C

At the market, Joey buys 3 avocados for $0.40 each and 5 lemons for $0.40 each. The cashier in training rings up 3 × 0.40 and then 5 × 0.40 to get the total. The experienced cashier says to add the 3 plus 5 in his head and then ring up 8 × 0.40.

What property says that these two totals would be the same?

multiplicative identity
associative property of multiplication
distributive property
commutative property of multiplication

Answers

Answer:

Distributive property

Step-by-step explanation:

3*$0.40 + 5*$0.40 = (3+5)*$0.40

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + acAccording to distributive property multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

answer is distributive property

Step-by-step explanation:

hope this answer helps :)

Combine the like terms to create an equivalent expression: \large{-4p+(-2)+2p+3}−4p+(−2)+2p+3

Answers

Answer:

-2p+1

Step-by-step explanation:

-4p+2p+(-2)+3

-2p+1

The equivalent expression of the expression {-4p+(-2)+2p+3}−4p+(−2)+2p+3 is -4p+2.

What is expression?

An expression is a combination of numbers, variables, function, indeterminants, symbols like addition, multiplication, subtraction and division. It is not usually present in equal to form.

How to create equivalent expression?

We have been given one expression {-4p+(-2)+2p+3}−4p+(−2)+2p+3 and we have to find the equivalent expression by solving the expression.

First we need to put appropriate signs by solving brackets and the expression will look like after opening brackets and after opening of brackets the signs may change:

=-4p-2+2p+3-4p-2+2p+3

=-4p+2p-4p+2p-2+3-2+3

=-4p+2

Hence the equivalent expression of {-4p+(-2)+2p+3}−4p+(−2)+2p+3 is -4p+2.

Learn more about expressions at https://brainly.com/question/723406

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A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders g gold baseball trophies and u uniform baseball trophies. Write an expression that could represent the total cost of all of the trophies.

Answers

Answer:

y= 5.99(g) + 6.49(u)

Step-by-step explanation:

1) First you determine the variable in the equation $5.99, $6.49, g, and u.

2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.

3) Since you are finding the total you insert a plus sign.

The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u

Cost of gold baseball trophies = $5.99

Cost of uniform baseball trophies = $6.49

Number of gold baseball trophies ordered = g

Number of uniform baseball trophies ordered = u

Therefore, the total cost will be:

= (5.99 × g) + (6.49 × u)

C = 5.99g + 6.49u

Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u

Read related link on:

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0.000000000009256 scientific method

Answers

Answer:

9.256×10^−12

Step-by-step explanation:

to get standard notation we have a number less ten.

since it is a very small number it has a negative exponent

The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi. someone pls help me

Answers

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

[tex]w = D[/tex]

Where:

[tex]w[/tex] - Width of the placemat, measured in inches.

[tex]D[/tex] - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

[tex]A = \frac{\pi}{4} \cdot D^{2}[/tex]

The diameter is cleared afterwards:

[tex]D = \sqrt{\frac{4\cdot A}{\pi} }[/tex]

If [tex]A = 78.5\,in^{2}[/tex] and [tex]\pi = 3.14[/tex], then:

[tex]D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }[/tex]

[tex]D = 10\,in[/tex]

The minimum width of the placemat is 10 inches.

The minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table is; 10 inches

We are told that the pizza has an area of 78.5 in². Thus;

A = 78.5 in²

Now, the pizza is circular in shape and the minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table will be the diameter of the pizza

Thus, area of a circle with diameter d is;

A = πd²/4

Plugging in the relevant values, we have;

78.5 = 3.14d²/4

d² = 78.5 × 4/3.14

d² = 100

d = √100

d = 10 inches.

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Find the indicated angle measures. ok last one i promise y’all pls help-

Answers

Answer:

bfc = 64, afb = 126

Step-by-step explanation:

I solved in the picture

Hope this helps ^-^

As a quality control manager for her distributing company, Zoe has 875.23 pounds of apples where she found 143.875 pounds of apples were rotten. How many pounds of fresh apples does she have? show your work.

Answers

Answer:

731.355

Step-by-step explanation:

875.230 - 143.875 = 731.355

apples       rotten       fresh

subtract 6 from me then multiply by 2 if you subtract 40 and then divide by 4 you get 8 what number am I

Answers

Answer:

42

Step-by-step

do it backward starting from 8

Answer:

42

Step-by-step explanation:

Thomas’s gross salary in 2017 was $68,000. If he qualifies for an $8,350 exemption when filing his taxes, how much does he owe for the year in federal income taxes? (Section 4.6 and 4.7) (1 point)

Answers

Answer: $14,912.5

Step-by-step explanation:

given data:

thomas salary in 2017 = $68,000

exemption = $8,350

solution:

thomas taxable income

= salary in 2017 - tax exemptions

= $68,000 - $8350

= $59,560

federal income tax = 25%

= 0.25 * $59,560

= $14,912.5

thomas Owe’s $14,912.5 in federal Income tax at the end of the year.

If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the information given c. 0.36 d. 1.2

Answers

Answer:

B. cannot be determined

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

How many solutions are there to the equation below?
12x + 32 = 12x - 7
O A. O
B. 1
O C. Infinitely many

Answers

Answer:

A

Step-by-step explanation:

12x + 32 = 12x - 7

12x - 12x + 32 = 12x - 12x - 7

32 = -7

This is a false statement so the answer is A) 0.

Additionally, you can see that we have the quantity 12x on both sides but on one side, it's being added by 32 and on the other, it's being subtracted by 7. How can a quantity added by 32 be equal to the same quantity subtracted by 7? It is impossible for a real number to do so, therefore, the answer is 0.

Answer:

Hey there!

Original Equation: 12x+32=12x-7

Subtract 12x: 32=-7

32 does not equal -7, so there is no solution.

Hope this helps :)

8-|21 - 13 - 9| -| -4|

Answers

Answer:

8-1-4=8-1-4=3

Step-by-step explanation:

Order of operations: solve inside the absolute value first. 21-13-9=8-9=-1. The absolute value of -1 is 1.

A construction uses a protactor and a ruler true or false

Answers

Answer:

True

Step-by-step explanation:

I just did a whole essay about thin in Geometry and I got an A.

Hope this helps! (づ ̄3 ̄)づ╭❤~

Write an expression to determine (represent) the ratio of the circle's circumference to its radius.

Answers

Answer:

C/r

Step-by-step explanation:

The ratio of the circle's circumference to its radius is

Please find attached a diagram of a circle and its radius

A circle is a two dimensional figure bounded by one curved line. All the straight lines that are drawn from a certain point within it to the bounding line, are equal.

The radius of a circle is the distance from the center of a circle to its circumference.

The radius of a circle is represented by r

The circumference of a circle is the perimeter of a circle. It is the distance round a circle.

The formula for the circumference of a circle is 2πr

π = pi = 22/7

r = radius

A ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of a circle's circumference to its radius is

2πr : r

Divide both sides of the equation by r

= 2π : 1

=

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20 points, I HAVE SCHOOL IN 1 HOUR PLEASE HELP, ONLY 2 QUESTIONS,

1. use distributive property to simplify the expression 7(6x + 1)

2. Simplify the expression 4 + ( 14 + x )

Answers

Answer:

[tex]\Huge \boxed{42x+7} \\ \\ \\ \Huge \boxed{x+18}[/tex]

Step-by-step explanation:

Part 1:

[tex]7(6x + 1)[/tex]

Distribute 7 to the terms in the brackets.

[tex]7(6x)+7(1)[/tex]

[tex]42x+7[/tex]

Part 2:

[tex]4+(14+x)[/tex]

Removing brackets.

[tex]4+14+x[/tex]

Combining like terms.

[tex]18+x[/tex]

A survey reported that 40% of people save loose change to pay bills. The margin of error was given as 3.1 percentage points. Which confidence interval corresponds to the given information

Answers

Answer:

0.369≤[tex]\mu[/tex]≤0.431

Step-by-step explanation:

The confidence interval boundaries is represented mathematically as shown below;

CI = p±E where;

p is the percentage of people surveyed

E is the margin of error

Given parameters

p = 40% = 0.4

E = 3.1% = 0.031

Required

Confidence interval corresponds to the given information.

Substituting the given parameters into the given formula:

CI = p±E

CI = 0.4±0.031

CI = (0.4-0.031, 0.4+0.031)

CI = (0.369, 0.431)

Hence the confidence interval that corresponds with the information is 0.369≤[tex]\mu[/tex]≤0.431.

write each ratio statement as a fraction and reduce to lowest terms if possible.(i)18 to 24 (ii)5 to 15 (iii)14:42 (iv) 15 cents to 18 cents.

Answers

Answer:

i) 3/4

ii) 1/3

iii) 1/3

iv) 5/6 cents

Step-by-step explanation:

Any ratio can be written as a fraction.

For example 3:4 can be writen as 3/4 or 14:42 as 14/42.

After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.

For 5 days Lydia studied math for a certain amount of time and read for 15 minutes each day Represent the total amount of time Lydia studied and read over the 5-day period.

Answers

Since Lydia studied for 5 days

Then it will be 5*15=75 minutes in 5 days

witch of the following is equivalent to -8-9(55+2x)

Answers

Answer:

-8-495-18x

Step-by-step explanation:

-8-9(55)-9(2x)

-8-495-18x

A Women making $29 an hour gets a 15% raise. How much money will she make after 4 hours of working with the increased hourly pay?

Answers

133.4 OR 116.6 I could be wrong .. good luck!

Answer:

$133.40

Step-by-step explanation:

First you have to find 15% of 29 which is 4.35. The way I figured this out was 10% of 29 is 2.9 and 5% of 29 is 1.45 and 2.9 + 1.45 = 4.35.

Then you want to add 4.35 to 29 which equals 33.35, her new hourly pay. Multiply 33.35 by the 4 hours she is working and you end up with $133.40.

Use the commutative law of multiplication to write an expression equivalent to: (5x)y.

Answers

Answer:

(5y)x

Step-by-step explanation:

the commutative law of multiplication=ab=ba, a(bc)=c(ab)

(5x)y=(5y)x=5(xy)

A school newspaper decides to survey all the students enrolled in a gym class to determine the percentage of these students who are
also on the football team. What is the population of this study?
A. students who take gym class
B. students who take gym class and are on the football team
C. all students in the school
D. students who are on the football team

Answers

Answer:

A sudents who take gym class

Step-by-step explanation:

the survey only asks for all the students enrolled in a gym class so they can compare with the data for all the students enrolled in the football team

Answer:

a

Step-by-step explanation:

Starting with x = 0.773, express x as a fraction in simplest form.

Answers

Answer:

773/1000

Step-by-step explanation:

[tex]x = 0.773 \\ \\ x = \frac{773}{1000} \\ [/tex]

Steps to convert decimal into fraction

Write 0.773 as
0.773
/1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.773 × 1000

1 × 1000
=
773/
1000

Reducing the fraction gives
773/
1000

There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. Find the smallest integer in the sequence.

Answers

Answer: 4

Step-by-step explanation:

Let the consecutive integers be x, x+1 and x+2.

There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. This means that:

2(x + x+2) = 2(x+2) + 8

2(2x + 2) = 2x + 4 + 8

4x + 4 = 2x + 12

Collect like terms

4x - 2x = 12 - 4

2x = 8

x = 8/2

x = 4

The smallest integer in the sequence is 4

Clarissa has taken 4 tests (100 points each) and has an average of 82.5 What score does she have to get on the next test in order to bring her average up to 85?

Answers

Answer:

Clarissa needs a 95

Step-by-step explanation:

4 x 82.5 = 330

Keep trying numbers to see if they work

330 + 95 = 425

425 / 5 = 85

Find the value of ab when a=5/12 and b=1/3

Answers

Step-by-step explanation:

When two letters are right next to each other, you multiply them. Since a and b are next to each other, we multiply them together.

[tex]A=\frac{5}{12}[/tex]

[tex]B=\frac{1}{3}[/tex]

To multiply fractions, you place them next to each other and multiply across.

[tex]\frac{5}{12}*\frac{1}{3} \\5*1=5\\12*3=36[/tex]

Our final answer:  [tex]\frac{5}{36}[/tex] (we cannot simplify it any further)

According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who were not married. Throughout the​ 1990s, this increased by approximately 0.6% per year. If this trend​ continues, in which year will 49% of babies be born out of​ wedlock

Answers

Answer:

2029

Step-by-step explanation:

We can write an equation:

0.28+0.006x=0.51

A few things explained:

The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28

0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock

0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.

We can solve the equation:

0.28+0.006x=0.51

0.006x=0.23

x=38.33

Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.

So, we add 39 years to 1990.

1990+39=2029

Hope this helps!

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