Answers
Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12
Related Questions
Help me with this, please!
Answers
Answer:
....
Step-by-step explanation:
The answer is a, yes yes
.....
Step-by-step explanation:
The answer is A yes. yes
What is the resulting integral?
Answers
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
HELP NEEDED QUICK WILL GIVE BRAINLY
Question 3 (02.03)
Figure EFGH is reflected about the y-axis to obtain figure E’F’G’H’:
Which statement best describes the relationship between the two figures?
1.Figure EFGH is congruent to figure E’F’G’H’.
2.Figure EFGH is bigger than figure E’F’G’H’.
3.The measure of angle H is equal to the measure of angle E’.
4.The measure of angle H is equal to the measure of angle G’.
Answers
Answer:
1
Step-by-step explanation:
Figure EFGH is congruent to figure E'F'G'H'
Can someone help me please??
Answers
10+15+7+8+8+2=50 ft
Answer:
the perimeter is just the distance around the shape so 7+10+15+8+8+2=50
Please help me
Explain how to solve the equation and how to check the
solution.
40 = 8y
Answers
Answer:y=5
Step-by-step explanation:
To find out what y is you have to do the inverse to 'undo' the equation.
So instead of multiplying y by 8 you have to divide 40 by 8.
40÷8=5
So y=5
You can check your answer by putting 5 where y is.
40=8×5
Hope this helps :)
Answer:
Use the inverse operation to isolate the variable. Undo multiplication by dividing by 8 on both sides of the equation. Simplify by completing the divisions, 40 ÷ 8 = 5, and 8 ÷ 8 = 1. The solution is y = 5. Check the solution by substituting 5 for y in the original equation, and then simplify. 8 × 5 = 40 and 40 = 40 is a true statement, so 5 is the solution.
Step-by-step explanation:
On edge 2021
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60,000, his monthly income is The variable x represents in the inverse function. If John's spending limit is
Answers
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
I had to raise the number to49 pls help
Answers
Evaluate √−6x^2 + 4x when x = −6
Answers
Answer:
− 24 + 6 i √ 6
Step-by-step explanation:
change improper fractions: 6 × 1/4 =
Answers
Answer:
[tex]1 \frac{1}{2}[/tex]
Which of the following statements are true? Select all that apply.
63=3*3*3*3*3*3
025=2x5
45=4*4x4x4x4x4
03=3*3*3*3
023=4*4*4
52=5*5
Answers
Answer:
a
Step-by-step explanation:
Which net can be folded to form a triangular pyramid?
Answers
The net that can be folded to form a triangular pyramid is net b
How to determine the net that can be foldedFrom the question, we have the following parameters that can be used in our computation:
The nets in the list of options
As a general rule, a triangular pyramid has 4 triangles such that
Three triangles are adjacent and one triangle is at the top or at the bottom
using the above as a guide, we have the following:
The net that can be folded to form a triangular pyramid is net b
Read more about triangular pyramid at
https://brainly.com/question/16205402
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Answer pleaseeeeeeee
Answers
For the linear function, y increases by a
of 3 each time x increases by 1.
For the exponential function, y increases by a(n)
of 3.
Answers
Answer:
The linear equation is:
y = 3*x
when x = 1
y = 3*1 = 3
when x = 2
y = 3*2 = 6
Then as x increases one unit, y increases 3 units.
Then the correct statement would be something like:
"For the linear function, y increases by a sum of 3 each time x increases 1"
The exponential function is:
y = 3^x
When x = 1
y = 3^1 = 3
When x = 2
y = 3^2 = 3*3
when x = 3
y = 3^3 = 3*3*3
So when x increases by 1, we multiply the previous value of y by 3.
Then the correct sentence is something like:
"For the exponential function, y increases by a factor of 3".
Answer: for the linear function y increases by a difference
for the exponential function y increases by a(n) ratio.
Step-by-step explanation:
Kenneth is painting his kitchen and bathroom. He bought 5 gallons of paint to paint the two rooms. He uses 1/4 of that amount to paint the bathroom and the rest to paint the kitchen.
Answers
Answer:
He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.
Step-by-step explanation:
1/4=25%=.25
Multiply 5 by .25
5*.25=1.25
Subtract 1.25 from 5
5-1.25=3.75
1.25 gallons for bathroom
3.75 gallons for kitchen
Hopefully this was helpful.
Describe the slope of the line. Then find the slope using two points.
helppp step by step explanation
Answers
Answer:
Step-by-step explanation:
Hi,
Describe the slope: This is a horizontal line. Slope measures the steepness of a line, since this is a horizontal line with no change whatsoever, the slope must be 0.
Calculate: (-1,-2) (3,-2)
Change in y over change in x
-2 - (-2) = 0
3 - 1 = 2
0/2 = 0
The slope is 0
Hope this helps <3
Lines that are not in the same plane are called lines O A. transversal O B. parallel O c. skew O D. perpendicular
Answers
Answer:
your answer is C.
Lines that are not coplanar and do not intersect are called skew lines.
and incase you need this answer too, Parallel Planes. Two planes that do not intersect are called parallel planes.
427 diveided by 3 do you have any aneswerers
Answers
Answer:
142.333....
Step-by-step explanation: just use a calculator
Answer:
142.34
Step-by-step explanation:
427 ÷ 3 = 142.34
good luck, i hope this helps :)
What is the decimal multiplier to decrease by 7.4%
Answers
Answer:
0.074
Step-by-step explanation:
convert 7.4% to a decimal.
Find the sum or difference. 9/12 - 7/12 *
Answers
Answer:
Bro this is hard answer is 0.17 or 2/12
Step-by-step explanation:
9/12 - 7/12
9 - 7 first since they both have 12 as their denominator
2 is the answer so you get 2/12
To find the sum or difference of 9/12 - 7/12, you can follow these steps:
Convert both fractions to have a common denominator. In this case, the common denominator is 12, so you can rewrite both fractions as follows: 9/12 - 7/12 = (9/12) - (7/12) = (9 - 7)/12 = 2/12Simplify the fraction if possible. In this case, you can simplify 2/12 to 1/6 by dividing both the numerator and denominator by 2: 2/12 = (2/2) / (12/2) = 1/6The sum or difference is 1/6.So the answer is 1/6.
Please give me brainliest for more high quality answers! - longstretch
Use the expression 7.6s+(45÷9)−15 to answer 9–10.
9.
Which part of the expression represents a quotient? Describe its parts.
10.
Which part of the expression represents a product of two factors? Describe its parts.
9. The part of the expression that represents a quotient is
10. The part of the expression that represents a product of two factors is
Answers
Answer:
45 ÷ 9, 7.6s
Step-by-step explanation:
9) A quotient is a result of dividing a quantity by another quantity. We see that 45 ÷ 9 is a form of division. We could say that 45 is divided into 9 parts. 45 ÷ 9 can also be written in fractional form: [tex]\frac{45}{9}[/tex]. Lastly, we see that the quotient would be 5.
10) A product is a result of multiplying a quantity by another quantity. We see that 7.6s is a simplified form of multiplication that actually represents 7.6 × s.
7.6 is a known numerical value. It is the coefficient of the variable x, which we do not know the value for.
A scale drawing of a rectangle painting is 12 inches long and 8 inches tall. The actual painting is 12 feet tall. What is the scale of the drawing? What is the perimeter of the actual painting? What is the area of the actual painting?
Answers
Answer:
x = 18
Step-by-step explanation:
[tex]\frac{8}{12} = \frac{12}{x}[/tex]
then cross-multiply8x = 12 * 12
8x = 144
[tex]\frac{8x}{8} = \frac{144}{8}[/tex]
x = 18
What is the area of the figure?
O 11 square units
O 18 square units
24 square units
32 square units
Answers
Answer:
18
Step-by-step explanation:
Answer:
yes 18 is correct
Step-by-step explanation:
I was climbing a ladder in my backyard and I felt closer to god but then I thought god is us all too.
Answers
Answer:
What are you trying to say
Step-by-step explanation:
Answer:
Wow, Thats really touching. I kind of dont know what to say but.
Step-by-step explanation:
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░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob
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What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=-5/2x-1
O y= -5/2x+ 5
O y=2/5x-1
O y=2/5x+5
Answers
Answer:
[tex]y = -\frac{5}{2}x-1[/tex]
Step-by-step explanation:
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2}x +6[/tex]
Parallel lines have the same slope so the -5/2 remains. Just remove the b value (6) and plug in (-2,4) to the x and y spots.
[tex](4) = -\frac{5}{2}(-2) + b[/tex]
4 = 5 + b
b = -1
The new equation is [tex]y = -\frac{5}{2}x-1[/tex]
Solve for x
70°
*
20
triangles
Answers
Answer:
x = 90°
Step-by-step explanation:
a triangles angles are equal to 180°
so if we have one that is 70° and one that is 20° what s x?
70° + 20° = 90°
180° - 90° = 90°
x = 90°
if Kendra has $5.35 in nickels and quarters if she has seven more quarters and nickels how many of each coin does she have ?
Answers
Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?
(Scroll Down for Answer!)
We know that n = q - 13.
The value equation is
5n + 25q = 535 (we work in cents)
Now substitute for n and get
5(q - 13) + 25q = 535
5q - 65 + 25q = 535
30q = 600
q = 20 so that
n = 7
Step-by-step explanation:
3/2 p - 14 = p + 13
Please help
Answers
Answer:
p=54 hope this helps
Step-by-step explanation:
PLEASE HELP
Which element should you not include in a summary for a book review?
a brief description of setting
the story's ending
explanation of theme
how the main conflict is resolved
Answers
Simplify. (−1+2i)(3−5i)
Choices
7+i
−3+i
7+11i
−13+11i
Answers
Answer:
The answer is 7 + 11i
Step-by-step explanation:
Questão 11 - Um investidor aplicou
a quantia de R$ 500,00 em um fundo
de investimento que opera no regime
de juros simples. Após 6 meses o
investidor verificou que o montante
era de R$ 560,00. Qual a taxa de
juros desse fundo de investimento?
Answers
Answer:
A taxa de juros desse fundo de investimento é de 24% ao ano.
Step-by-step explanation:
Esta é uma questão que envolve juros simples.
A quantidade de juros acumulados depois de t anos é dado por:
[tex]J = P*r*t[/tex]
Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.
O montante é dado por:
[tex]M = J + P[/tex]
Um investidor aplicou a quantia de R$ 500,00.
Isso significa que [tex]P = 500[/tex]
Juros acumulados:
Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]
Então, a quantidade de juros acumulados é dada por:
[tex]M = J + P[/tex]
[tex]J = M - P = 560 - 500 = 60[/tex]
Taxa de Juros:
6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]
Então
[tex]J = P*r*t[/tex]
[tex]60 = 500*r*0.5[/tex]
[tex]250r = 60[/tex]
[tex]r = \frac{60}{250}[/tex]
[tex]r = 0.24[/tex]
A taxa de juros desse fundo de investimento é de 24% ao ano.