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

plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

Will Mark Brainlest Help Please Please​

Answers

Answer:

a=2

b=-3

c=2

d=0

Step-by-step explanation:

3a+b=3......1

3c-d=6.......2

a-b=5....... 3

a+b+d=2d-1

a+b=2d-d-1

a+b=d-1......4

taking equation 1 and 3 we get,

3a+b =3....... 1

a-b=5

a=5+b

substitute the value of a in equation 1 we get,

3*(5+b)+b=3

15+3b+b=3

4b=3-15

4b=-12

b=-12/4

b=-3

now putting the value of b in equation 3 we get,

a-b=5

a+3=5

a=5-3

a=2

substitute the value of a and b in equation 4 we get,

a+b=d-1

2-3=d-1

-1=d-1

d=-1+1

d=0

substitute the value of d in equation 2 we get,

3c-d=6

3c-0=6

3c=6

c=6/3

c=2

[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]

Now constructing equations

[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]

[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]

[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]

Adding eq(1) and (2)

[tex]\\ \sf\longmapsto 4a=8[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto a=2[/tex]

Put the value in eq(2)

[tex]\\ \sf\longmapsto a-b=5[/tex]

[tex]\\ \sf\longmapsto b=a-5[/tex]

[tex]\\ \sf\longmapsto b=2-5[/tex]

[tex]\\ \bf\longmapsto b=-3[/tex]

put the values in eq(4)

[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]

[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]

[tex]\\ \sf\longmapsto d-1=2d-1[/tex]

[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]

[tex]\\ \sf\longmapsto -d=0[/tex]

[tex]\\ \bf\longmapsto d=0[/tex]

Put the value in eq(3)

[tex]\\ \sf\longmapsto 3c-d=6[/tex]

[tex]\\ \sf\longmapsto 3c-0=6[/tex]

[tex]\\ \sf\longmapsto 3c=6+0[/tex]

[tex]\\ \sf\longmapsto 3c=6[/tex]

[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]

[tex]\\ \sf\longmapsto c=2[/tex]

using trig to solve for missing angle

Answers

cos(30)=x/15
15cos(30)=x

Cos= adjacent/ hypotenuse

4 1
+
15
(Type a simplified fraction.)
5

Answers

Answer:

7/15

Step-by-step explanation:

hope the picture helps

41
+
15
=
11.2 is your answer mskdnsnsndjdjdndjdnd

A candy jar contains several small pieces of candy:

• 5 miniature peanut butter cups
• 7 dark chocolate candy bars
• 8 gummy worms

Roger randomly selected one piece of candy from the jar.
Problem

Read aloude What is the probability in decimal form that the candy Roger selected was NOT a gummy worm?

Answers

Answer:

12/20 = 60%

Step-by-step explanation:

The probability that the candy Roger selected was NOT a gummy worm;

P(Not a gummy worm) = 0.6

We are told the quantity of candies in the jar is as follows;

Miniature peanut butter cups = 5

Dark Chocolate bars = 7

Gummy worms = 8

Total number of candy bars = 5 + 7 + 8

Total number of candy bars = 20

Probability is found as; number of possible outcomes/number of events.

P(randomly selected is a gummy worm) = 8/20

P(randomly selected is a gummy worm) = 0.4

Thus, probability that it was not a gummy worm = 1 - 0.4

Probability that it was not a gummy worm = 0.6

Read more at; https://brainly.com/question/13160116

Is it the answer option D?

Answers

Answer:

D

Step-by-step explanation:

graph it

Solve for t in terms of q, r, and s.
r = sqt
t=

Answers

Answer:

t=r/(sq)

Step-by-step explanation:

r=sqt

=> r/(sq)=t

Answer:

T= r/(sq)

Step-by-step explanation:

r= sqt

=r/(sq) =t

can you help me to do this ​

Answers

Answer:

keep the pic clearly

Step-by-step explanation:

keep the pic clearly

A factory produces wrenches. The factory wants all of its
wrenches to weigh the same, but will accept a certain level of er-
ror. The inequality below describes the error they are willing to
accept, in pounds:

Answers

Answer:

b

Step-by-step explanation:

Find the missing value.
Hint: Use the number line to find the missing value.
-(-7)=5
{ #
-15

15
-10
-5
0
5
10


Answers

Answer:

= -2

Step-by-step explanation:

-2 -(-7)

= 5

I hope this Helps!

PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE
list 2 differences between y = sin x and y = cos x

Answers

Answer:

- sin(x) is the ratio of the opposite leg to the hypotenuse in a right triangle, while cos(x) is the ratio of the adjacent leg to the hypotenuse in a right triangle.

-The graph of y = sin(x) at x = 0 starts at the origin, and then increases, while the graph of y = cos(x) starts at a max, and then decreases.

Here's a 3rd: sin(x) is the cofunction of cos(x), which means that sin(x) = cos(90-x). This also shows that they are different.

Find the height of the triangle

Answers

Answer:

The height is 12 cm

Step-by-step explanation:

Hi there!

We are given a triangle with the 3 sides marked as 15, 20, and 25 and we want to find the height of it (marked as x in the problem).

This problem can seem a bit difficult, but let's see if the triangle is a right triangle first off.  

One way to figure out if it is a right triangle is to apply the converse of the Pythagorean theorem.

Let's label the sides, where a is the shortest side, b is the second shortest side, and c is the longest side:

a=15

b=20

c=25  

Now square a and b, then add the result together. If it's the same as c squared, then the triangle is a right triangle

15²+20²=25²

225+400=625

625=625

So we can safely say that the triangle is a right triangle

This makes the problem way easier, as there are 2 ways to find the area of a right triangle:

The first way is to multiply the legs (the sides that make up the right angle) together, then divide the result by 2

The other way is to multiply the height and the hypotenuse (the side OPPOSITE to the right angle) together, and then divide the result by 2

First, we need to figure out which sides are the legs, and which side is the hypotenuse

By the triangle inequality theorem, the hypotenuse of a right triangle is the longest side, which means that the 25 cm side is the hypotenuse, and that leaves 15 cm and the 20 cm sides as the legs

So let's find the area of the triangle using the legs

A=[tex]\frac{15*20}{2}[/tex]=[tex]\frac{300}{2}[/tex]=150

So the area of the triangle is 150 cm²

However, as mentioned above, we can also find the area of the triangle by multiplying the hypotenuse by the base, then dividing the result by 2

Which means that the area is also:

A=[tex]\frac{25x}{2}[/tex] cm²

As these both equal the area of the triangle, we can set them equal to each other. This is possible via a property known as transitivity (if a=b and b=c, then a=c)

[tex]\frac{25x}{2}=150[/tex]

Multiply both sides by 2

25x=300

Divide both sides by 25

x=12 cm

So the height of the triangle is 12 cm

Hope this helps!

Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.

Answers

Parameterize C by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ π. Then the line integral is

[tex]\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}[/tex]

39 3,822 Whats the answer ​

Answers

Answer:

The answer is 98

Step-by-step explanation:

Can I get branly plz and hope this help

solve for x. you must show all of your work to receive credit.

Answers

Answer:

x = 6

Step-by-step explanation:

The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )

5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)

5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

HELP FAST Which solution shown bellow contains an error

Answers

Answer:

B

Step-by-step explanation:

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
A s= 3/ 10m
B s= 10/3m
C m=3/10s
D m=1/30s​

Answers

Answer:

Step-by-step explanation:

I'm assuming that the length of the spring is s and the mass of the object is m. If that be the case, the direct variation equation, which a line btw, is

s = km where k is the constant of proportionality. We have to solve for k, the slope of the line, in order to determine the model for this situation.

9 = k(30) so

[tex]k=\frac{9}{30}=\frac{3}{10}[/tex] Now that we know, the slope of the line, we can rewrite the equation with the slope in place:

[tex]s=\frac{3}{10}m[/tex], choice A.

square root of 3x^4 times square root of 5x^2 times square root of 10.

Multiply and remove all perfect squares from inside the square roots. Assume x is positive.

Answers

Answer:

[tex]5x^3\sqrt{6}[/tex]

Step-by-step explanation:

We need to simplify

[tex]\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}[/tex]

Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.

[tex]= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}[/tex]

The square root of 3x⁴ times square root of 5x² times square root of 10, the product of all the term is,  5x³ [tex]\sqrt{6}[/tex]

What is square root?

In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.

if 'a' is square root of 'b' then it will represent as, a = √b.

Given that,

three terms,

[tex]\sqrt3{x^{4} }[/tex]

[tex]\sqrt{5x^{2} }[/tex]

[tex]\sqrt{10}[/tex]

by multiplying all the three terms,

⇒ [tex]\sqrt3{x^{4} }[/tex] × [tex]\sqrt{5x^{2} }[/tex] × [tex]\sqrt10} }[/tex]

⇒  √(3x⁴×5x²10)

⇒   √ 150x⁶

⇒     5x³ [tex]\sqrt{6}[/tex]

Hence, the product is   5x³ [tex]\sqrt{6}[/tex]

To know more about square root check:

https://brainly.com/question/29286039

#SPJ2

Write the Roman numeral CLXXIX in standard form.​

Answers

179 is the answer

hope it helps

Answer:

179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1

Step-by-step explanation:

Numbers close to CLXXIX

Below are the numbers CLXXVI through CLXXXII, which are close to CLXXIX. The right column shows how each roman numeral adds up to the total.

176 = CLXXVI = 100 + 50 + 10 + 10 + 5 + 1

177 = CLXXVII = 100 + 50 + 10 + 10 + 5 + 1 + 1

178 = CLXXVIII = 100 + 50 + 10 + 10 + 5 + 1 + 1 + 1

179 = CLXXIX = 100 + 50 + 10 + 10 + 10 − 1

180 = CLXXX = 100 + 50 + 10 + 10 + 10

181 = CLXXXI = 100 + 50 + 10 + 10 + 10 + 1

182 = CLXXXII = 100 + 50 + 10 + 10 + 10 + 1 + 1

Symbol Value

I 1

V 5

X 10

L 50

C 100

D 500

M 1000

I hope this helps.

Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
A
1

Answers

Answer:  [tex](x-3)^2 + (y-2)^2 = 16[/tex]

Explanation:

The center of this circle is point A(3,2). These coordinates are the (h,k) values.

The radius is r = 4

Plug those three items into the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex] to arrive at the final answer shown above.

solve this simultaneous linear equation=X+y=4and2x-y=5​

Answers

x+y=4---(1)2x-y=5---(2)

From eq(1)

[tex]\\ \sf\longmapsto x+y=4[/tex]

[tex]\\ \sf\longmapsto x=4-y\dots(3)[/tex]

Put values in eq(2)

[tex]\\ \sf\longmapsto 2x-y=5[/tex]

[tex]\\ \sf\longmapsto 2(4-y)-y=5[/tex]

[tex]\\ \sf\longmapsto 8-2y-y=5[/tex]

[tex]\\ \sf\longmapsto 8-3y=5[/tex]

[tex]\\ \sf\longmapsto 8-5=3y[/tex]

[tex]\\ \sf\longmapsto 3y=3[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{3}{3}[/tex]

[tex]\\ \sf\longmapsto y=1[/tex]

Put value in eq(3)

[tex]\\ \sf\longmapsto x=4-y[/tex]

[tex]\\ \sf\longmapsto x=4-1[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

In the paper airplane shown, ABCD = EFGH, M

Answers

Answer:

it should be 90 I could be wrong

c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers​

Answers

Their LCM is

70

hope it helps you.

Answer:

Their L.C.M IS

70....

IT IS YOUR ANSWER

how do we know a given number in the radical is whether rational or irrational​

Answers

number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.

0.008 x 2.5 in standard form is (A) 2 x 10-² (B) 2 x 10 (C) 2 x 10-¹ (D) 2 x 10²​

Answers

Answer:

(D) 2 x 10²

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope it is helpful.....

Answer:

2 × 10 ^2

Step-by-step explanation:

(d) option is correct


32% of 300 is what number?

Answers

Answer: 96

Step-by-step explanation:

This equation helps

X / 100 = is / of

32/100 = X / 300 (cross multiplication)

32 times 300, divided by 100

= 96

Answer:

96

Step-by-step explanation:

every percent is out of hundred so (32 * 300)/100 = 96

answer
answer
asap
pls

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

An integer can be written as a fraction by giving it a denominator of one

Find the length of y. Assume the triangles are similar.\

A. 3.6
B. 3.2
C. 3.9
D. 3.4

Answers

6,3:y=4,2:2,4

y=3,6

Chọn a

factorise (x+1)^2 + 4(x+1)

Answers

Answer:

(x + 1)(x + 5)

Step-by-step explanation:

Given

(x + 1)² + 4(x + 1) ← factor out (x + 1) from each term

= (x + 1)(x + 1 + 4)

= (x + 1)x + 5)

Is it ok if you help me solve this?

Answers

Answer:

For it to be parallel the answer is B (3)

Answer:

B) 3

Explanation:

If two lines are parallel that means that their equations have the same value of slope.

Other Questions
hello Im new here ! But Im having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?I attached a picture ! Thank you everyone :) Late in the nineteenth century, the middle class in America Group of answer choices was native born, white, Anglo-Saxon, and Protestant. welcomed immigrants because they tended to support the same political candidates. could be achieved by anyone who worked hard. was achieved by second- or third-generation Americans. Ryan Company deposits all cash receipts on the day they are received and makes all cash payments by check. Ryan's June bank statement shows $27,861 on deposit in the bank. Ryan's comparison of the bank statement to its cash account revealed the following Deposit in transit 3,350 Outstanding checks 1,350 A baker's bread recipe calls for 3cups of flour. She plans to make 2 loaves ofbreadIf the baker's measuring scoop holds cup, how many scoops offlour will she need in all? Delta River Company sold manufacturing equipment with a cost of $44,000 and accumulated depreciation of $32,000 for $9,000. The journal entry to record this transaction will include:_________ a) a credit to Accumulated Depreciation Equipment for $32,000. b) a debit to a loss account for $3,000. c) a credit to a gain account for $8,000. d) a credit to the Equipment account for $12,000. A bond issued by Vodafone has a coupon rate of 6.15% with semiannual payments, a par value of $1,000,and remaining maturity of exactly 25 years. The bond is currently trading at a price in the market that reflects a yield to maturity for the bond of 3.86%. What is the current value of the bond 6. When the engine stalls or the power unit fails, on a car with powerbrakes, the service brake pedal willA. Take about the same amount of pressureB. Take more pressure to stopC. Take less pressure to stopD. Become locked in place and no longer help stop the car Ross Times, the student newspaper of Ross College, printed a "What do you think?" column feature asking: "Do you think that the college is doing enough to provide student parking?" Anyone could mail in a response or use the paper's Web site to respond. In all, 126 answers were received. This is an example of what type of sample? A convenience sample A simple random sample A multistage sample A voluntary response sample Your uncle passed away and left you and your siblings his private property. He owned a 180 acre ranch and there are 3 of you. Each acre is valued at approximately $3,000. This means the monetary value for each sibling will be: one story with author and summary please who invented pascaline and when? AABC has vertices at A(5,1), B(-3,1), and C(-2,5).Point D is located on the intersection of the altitude and AB, in such a way that D has coordinates at(-2,1). What is the simplified value of the expression below?1/3 divided by 2/301/31/21 Sandhill Co. Bonita Industries Net cash provided by operating activities $ 81,330 $91,400 Average current liabilities 49,800 94,900 Net income 181,900 181,900 Capital expenditures 37,660 69,250 Dividends paid 4,570 9,920Compute free cash flow for both companies and compare. (Show a negative free cash flow with either a-sign e.g.-15,000 or in parenthesis e.g. (15,000).) Bonita Industries Windsor Inc. Free cash flow $ $ v 's free cash flow is better. Please help guys Im really struggling ABC Corporation owns 75 percent of XYZ Company's voting shares. During 20X8, ABC produced 50,000 chairs at a cost of $79 each and sold 35,000 chairs to XYZ for $90 each. XYZ sold 18,000 of the chairs to unaffiliated companies for $117 each prior to December 31, 20X8, and sold the remainder in early 20X9 to unaffiliated companies for $130 each. Both companies use perpetual inventory systems. Based on the information given above, what amount of cost of goods sold did ABC record in 20X8 prior to consolidation Unlike other plants, trees are plants living for several years thus they are A. Annual B.shade C.perennial D. Fence 20.1 cm3 of metal hydroxide (MOH) containing 4.8 g/dm3 react Completely with 23.0 cm3 of the HCL and Containing 3.8g/dm3. Identify the metal of M of MOH According to Newton's law of universal gravitation, how do the masses of twoobjects relate to the gravitational force between them?A. As either mass increases, the gravitational force between themincreases.B. As either mass increases, the gravitational force between themdecreases.C. Gravitational force increases only when both masses increase.D. Gravitational force increases only when both masses decrease. Find the equation of the line thatis perpendicular to y = -4x + 3and contains the point (8, 1).