Integrate with respect to x

-2/3√((2-5x)^3)

Answers

Answer 1

Hello,

[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]


Related Questions

This equation has one solution.

3(x – 2) + 4x = 10(x + 1)
what is the solution?
-5
-2
-16/3
-16/7

Answers

Answer: -16/3

Step-by-step explanation:

[tex]3(x - 2) + 4x = 10(x + 1)\\3x - 2(3) + 4x = 10x +1(10)\\3x - 6 + 4x = 10x + 10\\7x - 6 = 10x + 10\\7x - 10x = 10 + 6\\-3x = 16\\x = \frac{16}{-3} =-\frac{16}{3}[/tex]

Answer:

-16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Step 1 distribute the 3 to the x and -2

Outcome: 3x - 6 + 4x = 10(x + 1)

Step 2 distribute the 10 to the x and 1

Outcome: 3x - 6 + 4x = 10x + 10

Step 3 combine like terms

Outcome: 7x - 6 = 10x + 10

Step 4 add 6 to both sides

Outcome: 7x = 10x + 16

Step 5 subtract 10x from both sides

Outcome: -3x = 16

Step 6 divide both sides by -3

Outcome: x = -16/3


Sarah borrows £500 for 2 years at a rate of 15% to buy a
new laptop.
Calculate the simple interest she will pay on this loan.

Answers

Answer: 150 pounds

Step-by-step explanation:

answer both of them please

Answers

Answer:

-5.5+2=x should be equal to 3.5 on the number line and as for the other question it is D) It is a decimal that terminates after three decimal places

Step-by-step explanation:

When graphing -5.5+2=x it equals to 3.5 on the Domain and the other question you just divide the numerator to its denominator equaling you with 0.875

help me frll frll, my test is timed !!!! Which of the following scatterplots would have a trend line with a negative slope?
*y,
1
4.5
5 4
1.5
5.5
2.
4.25
3
25
5
2
3
3.75
1
3.5
3.5
1
2
3 4
5
35
425
Xy,
1
25
5
ا
1.5
3.5
4
2.
4.25
3
O
254 25
27

Answers

Answer:

i toke it on edu

Step-by-step explanation:

it is 2

Answer:

c

Step-by-step explanation:

m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Ayudaaa​

Answers

9514 1404 393

Answer:

  350, 5, 2668, 4

Step-by-step explanation:

a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350

__

b) mcd(35, 50) = 5

  35 = 5·7; 50 = 5·10

__

c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668

__

d) mcd(116, 92) = 4

  116 = 4·29, 92 = 4·23

question is on the image.
can you do question a and b please
I'll you give the brainliest.

Answers

Answer:

a) i. 1/6

ii. 0

b) 1/6 * 60

=10

Answer:

[tex]a) 1)\frac{1}{6} \\ \\ 2)0 \\ \\b) \frac{1}{6} \times 60 = \frac{60}{6} = 10[/tex]

hope this helps you.

Pick the correct graph and equation pleasee!

Answers

Given:

Amount of flour in a bin = 30 cups

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

To find:

The correct equation and graph for the given situation.

Solution:

Let F be the amount of flour in the bin and c be the number of signature cakes.

Flour required for each signature cake = [tex]1\dfrac{1}{2}[/tex] cups

Flour required for each signature cake = [tex]1.5[/tex] cups

Flour required for c signature cakes = [tex]1.5c[/tex] cups

Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:

[tex]F=30-1.5c[/tex]

At [tex]c=0[/tex], we get

[tex]F=30-1.5(0)[/tex]

[tex]F=30[/tex]

At [tex]F=0[/tex], we get

[tex]0=30-1.5c[/tex]

[tex]1.5c=30[/tex]

[tex]c=\dfrac{30}{1.5}[/tex]

[tex]c=20[/tex]

Therefore, the required equation is [tex]F=30-1.5c[/tex] and the 4th graph is correct.

Hallar el interés producido por un capital de /240a una tasa de interés del 30% anual prestados durante un tiempo de 2 años

Answers

Answer:

The interest for the two years is 144.

Step-by-step explanation:

Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years

Principal, P = 240

Interest, R = 30 %

Time, t = 2 years

The simple interest is given by

[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]

Find the nth term...-1,5,11,17

Answers

Answer:

23

Step-by-step explanation:

you just add 6 to every one

2+2

f re e
points or whatever

Answers

Answer:

2+2 = 4

Step-by-step explanation:

Hope this helps.

Answer:

2 + 2 is 4 my guy

Step-by-step explanation:

thx for the points

A scientist has two solutions, which she has labeled Solution A 60% and Solution B 75% Each contains salt. She knows that Solution A is salt and Solution B is salt. She wants to obtain ounces of a mixture that is salt. How many ounces of each solution should she use

Answers

Answer:

The answer is "180".

Step-by-step explanation:

Please find the complete question in the attached file.

Let's

x = ounces solution of A

y = ounces solution of B

[tex]x + y = 180 \\\\y = 180 - x\\\\0.60x + 0.85y = 0.75(180)\\\\0.60x + 0.85y = 135\\\\[/tex]

Multiply both sides of the equation by 100 to remove the decimal points.

[tex]60x + 85y = 13500\\\\60x + 85(180 - x) = 13500\\\\60x + 15300 - 85x = 13500\\\\-25x = -1800\\\\x = 72\ \ ounces\\\\y = 180 - 72 \\\\y = 108 \ \ ounces\\\\[/tex]

a right triangle has a leg of length 13 and a hypotnuse of length 41 yards. find the length of the other leg (nearest tenth)

Answers

The other leg would be 39 sum like dat

WILL GIVE 50 POINTS PLS RESPOND FAST!!!!
The table below shows the radius y, I’m centimeters, created by grouping algae in x days:
Time (x) 2 4 6 8
(Days)
Radius(y) 4 7 10 14
(cm)

Part A: what is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [choose the value of the correlation coefficient from 1, 0.97, 0.5, 0.2.]
Part B: what is the value of the slope of the graph of radius versus time between 6 and 8 days, and what does the slope represent?
Part C: does the data in the table represent correlation or causation? Explain your answer.

Answers

Answer:

wait whats your question

Step-by-step explanation:

A car is sold for $7560 at a loss of 10%. What is the original cost of the car?

Answers

Answer:

car(c.p)=$8400

Step-by-step explanation:

L%=(c.p-s.p)100%

c.p

10%=(c.p-7560)100%

c.p

10c.p=100c.p-756,000

(10-100)c.p= -756,000

-90c.p= -756,000

-90 -90

c.p=8400

There are 28 marbles in the box. There are 12 red marbles, 10 blue marbles, and 6 yellow marbles. What percent of the marbles are NOT yellow?

Answers

Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

Differentiate
[tex]y = 3x {}^{3} + 8x - 7[/tex]



Answers

Answer:

y=9x^2 + 8

Step-by-step explanation:

using the power rule, we will differentiate each term separately

d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2

d/dx of 8x = 8x^(1-1) = 8

d/dx of -7 = 0

combining them we get the derivative which is y = 9x^2 + 8

Answer:

9x² + 8

Step-by-step explanation:

The given function to us is ,

[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]

And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have

[tex]\implies y = 3x^3 + 8x - 7 [/tex]

Recall that , the derivative of constant is 0 . Therefore ,

[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]

Hence the derivative of given function is 9x² + 8 .

What number, divided by 3/7 , will result in a value of 2 1/3?

Answers

bro you still in school??

Jayce travels 30 miles per hour in her car. How many miles does she travel in 4 hours?

Answers

Answer:

Step-by-step explanation:

Answer:

hello there

here is your answer:

120 miles

Step-by-step explanation:

because every 30 mile jayce drives is by 1 hour.

jayce  travels for 4 hours so that 120 miles

also because you can mutiply 30*4=120

hope this helps have a good day bye

Simplity the expression.
3(2y - 8) - 2y(5 - y)

Answers

Answer:

2y² - 4y - 24

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3(2y - 8) - 2y(5 - y)

Step 2: Simplify

[Distributive Property] Distribute 3 and -2y:                                                       6y - 24 - 10y + 2y²Combine like terms:                                                                                         2y² - 4y - 24
ANSWER: 2y^2-4y-24

I wanted to verify the answer was correct

7). Express 98 in base 2​

Answers

ANSWER

1100010

EXPLANATION

converting 9810 to 2

The equation calculation formula for 98 base10 number to base 2 is like this below.

2|98|

2|49|0

2|24|1

2|12|0

2|6|0

2|3|0

2|1|1

2|1|1

Ans:1100010 base2

The two
triangles are similar.

What is the value of x?

Enter your answer in the box

Answers

Answer:

13

Step-by-step explanation:

the scale factor is 4:1 so just divide 52 by 4.

Write an inequality to represent the graph.

Answers

Answer:

C

Step-by-step explanation:

What is the fraction for the following decimal expansion? 0.16

OA. 1/6
OB. 2/25
OC. 1/3
OD. 4/25



Answers

Answer:

D. 4/25

Step-by-step explanation:

As,

0.16

= 16/100

= 4/25. [Taking common factor 4 from both 16 and 100]

HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x

Answers

Answer:

A: The y-intercept of f(x) is equal to the x-intercept of g(x)

Step-by-step explanation:

From the equation of f(x) given, we have;

f(x) = -4(1.09)^(x)

Now,the y-Intercept will be the point where x = 0.

Thus;

f(0) = -4(1.09)^(0)

f(0) = -4

Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.

Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)

Which of the following are square roots of the number below? Check all that
apply.
196
A. -14
B. 196^1/2
C. 14
D. 98
E. 7
F. -196^1/2

Answers

Answer:

B. 196^1/2

C. 14

Step-by-step explanation:

Square root of 196=14

196^1/2=14

Just question 1, please.

Answers

Step-by-step explanation:

We can start by writing an equation to describe the data set. For 2D data, one equation form we can use is y=m*x + b, where x is the input and y is the output. Since yuan are put in and dollars are put out, x represents yuan and y represents dollars in this instance.

To find the equation, we can start by plugging in two points, such as (50, 1.25) and (100, 7.5). The slope, or m, is equal to the change in y/change in x, or

(7.5-1.25)/(100-50) = 6.25/50

= 0.125. This means that for each yuan put in, 0.125 dollars come out, according to the formula.

Next, we must find b. Plugging 0.125 in for m and taking a set of points, such as (50, 1.25), we get

1.25 = 50(0.125) + b

1.25 = 6.25 + b

subtract both sides by 6.25 to isolate the b

-5 = b

Therefore, we can write our equation as

y = 0.125 * x - 5

In this equation, there is an exchange rate of 0.125, meaning that for each yuan put in, 0.125 dollars are coming out. The -5 symbolizes that for each transaction, 5 yuan are being lost, which is the fee for exchanging money.

To check if the equation works, we can try it for options such as (200, 20) and (250, 26.25). This does work, so we can move forward with our equation.

For (c), our equation is y = 0.125 * x - 5, with the y representing dollars, x representing yuan, 0.125 representing the exchange rate, and -5 representing the fee for exchaning mone

For (b), because 5 yuan are subtracted from the exchange rate for each transaction, it is fair to assume that there is a fee for exchanging money. There is a fee of 5 yuan per transaction. In dollars, using the exchange rate of 0.125 dollars per yuan, this is equal to 0.625 dollars

For  (a), the exchange rate is 0.125 dollars per yuan. We know this because for each yuan put in, 0.125 dollars are coming out after taking into account the fee

sin^2x + sin2x +2cox^2x = 2

Answers

Answer:

Step-by-step explanation:

[tex]sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.[/tex]

Simplify. Your answer should contain only positive exponents.

fraction numerator 2 b squared over denominator 2 b end fraction 2b^2/2b

A. fraction numerator 3 over denominator 4 b end fraction 3/4b

B. 3 b squared 3b^2

C. b

D. 3b

Answers

Answer:

D.6b C.v B.8squared 7b<9

Which of the following biconditional statements is true?

Answers

Answer:

The answer is A :)

Step-by-step explanation:

Answer:

A whole number is even if and only if it is evenly divisible by 2

Step-by-step explanation:

BRAINLY

JannetPalos

Ambitious

808 answers

526.6K people helped

Answer:

A whole number is even if and only if it is evenly divisible by 2

Step-by-step explanation:

1.  The first statement is false because product of two negative integers is positive.

Ex:

(- 2) × (- 3) = 6

2.  The second statement is false because there are whole numbers which are divisible by 2 but not divisible by 4.

Ex:

6 is divisible by 2 but not divisible by 4

3.  The fourth statement is false because if a whole number is divisible by 2, then, by definition, it must be an even number.

Ex:

6 is divisible by 2 and hence it is an even number

4.  The third statement is true because if a whole number is divisible by 2, then, by definition, it must be an even number.

Ex:

6 is divisible by 2 and hence it is an even number

Write the equation of a circle whose center is at (6,-7) and whose radius is 4.

Answers

Answer:

(x - 6)² + (y + 7)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (6, - 7 ) and r = 4 , then

(x - 6)² + (y - (- 7) )² = 4² , that is

(x - 6)² + (y + 7)² = 16

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