What is the answer of this question?

What Is The Answer Of This Question?

Answers

Answer 1

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]


Related Questions

Is this relation a function?

Answers

Answer:

A

Step-by-step explanation:

for it to be a function every x value must have at most 1 y value, therefore it is option A as this requirement is met

When a willow tree was planted it was 24 inches tall. Three years later, the tree was 54 inches tall. How many inches per year is the willow tree growing on average?

Answers

Answer:

On average 10 inches

Step-by-step explanation:

1st= 24 inches

2nd= 34 inches

3rd= 44 inches

4th= 54 inches

10 inches per year, you take the ending height and minus the starting height and divide by the number of years it grew for (3)

find the missing length indicated​

Answers

Answer:

x = 240

Step-by-step explanation:

Apply the leg rule to find the value of x.

Leg rule is given as:

Hypotenuse/leg 1 = leg 1/part 1

Hypotenuse = 400

Leg 1 = x

Part 1 = 144

Plug in the known values into the formula

400/x = x/144

Cross multiply

x*x = 144*400

x² = 57,600

Take the square root of both sides

√x² = √57,600

x = 240

Phoebe took a survey of her classmates' favorite sport. The results are in the table below:

What is the relative frequency of survey members who prefer football?

Answers

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

To know about frequency distribution, here

brainly.com/question/1094036

#SPJ4

I need help there should be a picture that pops up on the screen if not then it might be a link if it is a like press on it THANK YOU SO MUCH!!!

Answers

Answer:

ans is b hope I helped you

For the function g(x)=2x-9 , determine x when g(x)=-15.

Answers

Answer:

-3

Step-by-step explanation:

Input -3 for x.

2*-3 - 9

then simplify.

I want you to help me with this

Answers

Answer:

$44.1

Step-by-step explanation:

March>>>>$40

for April: $40 × 5/100= $2 which is the 5% of $40.

Meaning for April Siti got $42

Then for May: $42 × 5 /100= $2.1 meaning she got $44.1 for May.

What is the length of the radius of a cylinder if the diagonal is 15 mm and the height is 12 mm?

Answers

Answer:

Step-by-step explanation:

Let d and r be the diameter and radius, respectively.

d² + 12² = 15²

d² = 15² - 12² = 81

d = √81 = 9

r = d÷2 = 4.5 mm

1 pts
Angel has 17 positive tiles and 13 negative tiles. What is the sum when all zero pairs are removed?

Answers

Answer: I believe the answer to your question is 4

Step-by-step explanation:

Let's check

a be positive tiles and b be negative tiles

a=+17b=-13

Sum

a+b17-13+4

What is the smallest number, which is neither prime nor a square and that has no prime factor smaller than 100?

Answers

Answer:

10403.

Step-by-step explanation:

To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.

After multiplying 101 by 103, we get 10403.

To check our answer, we can verify each point.

10403 is not prime, as it has 2 factors, 101 and 103.

10403 is not square, as the square root of 10403 is 101.9951.

10403 has 2 factors 101 and 103, both of which are greater than 100.

Area of parallelogram!!

Answers

Answer:

3.375 cm^2

Step-by-step explanation:

The area of a parallelogram is given by

A = bh  where b is the base and h is the height

A = 2.25 * 1.5

A =3.375 cm^2

Area = length x height

Area = 2.25 x 1.5

Area = 3.375 cm^2

Which angles are adjacent to each other?

Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG


Please make sure it's correct because one person once tried it and got it wrong..lol.​

Answers

Answer:

B

Step-by-step explanation:

Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.

That eliminates choices A, C, and D.

Answer: B

Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.

Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.

please tell me what x =?

Answers

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

really need help to do step by step

Answers

Answer:

8. x = -32

Step-by-step explanation:

1/4x + 10 = 2

Step 1. Subtract 10 from both sides

1/4x = -8

Step 2. Solve for x

Since we’re trying to isolate the variable, convert 1/4 to a decimal

1/4 = 0.25

Then solve for x

x = -8/0.25

x = -32

Answer:

x/4+10=2

x/4=2-10

x/4=-8

x=-8 x 4

x=-32

Step-by-step explanation:

What is the answer in scientific notation?

(5.1 × 106) x (4.3 × 105)

A 0.8 × 106

B 0.8 × 105

C 4.67 × 105

D 4.67 × 106

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times10^6) \times (4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^6}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times10 \times10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times 100\times100}[/tex]

[tex]\huge\boxed{= 10,000\times100}[/tex]

[tex]\huge\boxed{= \bf 1,000,000}[/tex]

[tex]\huge\boxed{\star\ (5.1 \times 100,000) \times(4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^5}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times 10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times100\times 10}[/tex]

[tex]\huge\boxed{= 10,000\times10}[/tex]

[tex]\huge\boxed{= \bf 100,000}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times 1,000,000) \times (4.3\times 100,000)\ \star}[/tex]

[tex]\huge\boxed{5.1 \times 1,000,000}[/tex]

[tex]\huge\boxed{= \bf 5,100,000}[/tex]

[tex]\huge\boxed{4.3 \times 100,000}[/tex]

[tex]\huge\boxed{= \bf 430,000}[/tex]

[tex]\huge\boxed{\star\ 5,100,000 \times 430,000\ \star}[/tex]

[tex]\huge\boxed{= \bf 2,193,000,000,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 800,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^5}[/tex]

[tex]\huge\boxed{= \bf 80,000}[/tex]

[tex]\huge\boxed{4.67\times10^5}[/tex]

[tex]\huge\boxed{= \bf 467,000}[/tex]

[tex]\huge\boxed{4.67 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 4,670,000}[/tex]

[tex]\huge\boxed{\textsf{Therefore, this makes the answer: \bf NONE}}\\\hug\boxed{\textsf{of the \bf ABOVE}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

rs 20736 was distributed to as many rupees as there were. how many students were there​

Answers

This question is solved by proportions

Doing this, we found that there were 144 students.

20736 was distributed. The number of rupees for each student is the number of students.

Considering n students, the amount each student receives is:

[tex]A = \frac{20736}{n}[/tex]

Considering each student received n rupees:

[tex]n = \frac{20736}{n}[/tex]

Applying cross multiplication:

[tex]n^2 = 20736[/tex]

[tex]n = \sqrt{20736}[/tex]

[tex]n = 144[/tex]

Thus, there were 144 students.

A similar question can be found at https://brainly.com/question/23843273

Solve 4 sinx + 9 cosx=0 for 0° ​

Answers

4 sin(x) + 9 cos(x) = 0

4 sin(x) = -9 cos(x)

tan(x) = -9/4

x = arctan(-9/4) + … … … (in radians)

or

x = arctan(-9/4) + 180n ° … … … (in degrees)

where n is any integer.

I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of

x ≈ 113.96°   and   x ≈ 293.96°

Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.

Answers

Answer: X = 86 gallons

Step-by-step explanation:

X-27=59

X=59+27

please tell me the coordinates

Answers

Answer:

A'(-9, -3)

Step-by-step explanation:

The coordinates of A are (-3, -1).

The dilation factor is 3.

Multiply the coordinates of A by 3.

A'(-9, -3)

Answer:

Coordinates of A´ are (-3,-1), it is dilated by the factor of 3, The New coordinates will be:-

[tex](-3\times 3)=-9[/tex]

[tex](-1\times3)=-3[/tex]

[tex]A'(-9,-3)[/tex]

OAmalOHopeO

[tex]\frac{1}{3} x = 18[/tex]

Answers

[tex]\\ \sf\longmapsto \dfrac{1}{3}x=18[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{3}=18[/tex]

Use cross multiplication

[tex]\\ \sf\longmapsto x=3(18)[/tex]

[tex]\\ \sf\longmapsto x=54[/tex]

1/3X =18
X=18•3/1
X=54

equivalent expression: 3 + 4(2z - 1)

Answers

Answer:

8z - 1

Step-by-step explanation:

Given

3 + 4(2z - 1) ← multiply each term in the parenthesis by 4

= 3 + 8z - 4 ← collect like terms

= 8z - 1

Answer:

-1 + 8z

Step-by-step explanation:

First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):

3 + 4(2z - 1)

3 + 8z - 4

Group like terms:

3 + 8z - 4

-1 + 8z

The answer is -1 + 8z

Hope this helped.

4 Points
is
For the function y = 3x + 5
what is the output of the
function if the input is 10?

Answers

Answer:

[tex]35[/tex]

Step-by-step explanation:

One is given the following function ([tex]y=3x+5[/tex]). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:

[tex]y=3x+5[/tex]

[tex]y=3(10)+5[/tex]

[tex]y=30+5[/tex]

[tex]y=35[/tex]

0.741 round to nearest one

Answers

Answer:

Step-by-step explanation:

Since round to the nearest one is too vague, i'll give everything this can be rounded too

Rounded to the nearest whole number

0.741 = 1

Rounded to the nearest tenth

0.741 = 0.7

Rounded the the nearest hundreth

0.741 = 0.74

Hopefully this helps

Please Help !


Which of the following describes point D? (-4, 0) (0, -4) (0, 4) (4, 0)

Answers

Answer:

D(0 , 4)

Step-by-step explanation:

Point D is on the y axis. So, x-coordinate  = 0

y- coordinate is the vertical length from origin which is 4

Answer:

D(0 , 4)

Step-by-step explanation:

Non right angled triangle

Answers

Answer:

18.06

Step-by-step explanation:

law of cos()

b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)

[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]

A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of minutes, m, you may talk using the card?

m/.035 = 22.40
22.40m = 0.035
m/22.40 = 0.035
0.035m = 22.40

Answers

Answer:

0.035m = 22.40

Answer please. Will give brainly thingy.
(if correct and I will click check answer.)

Answers

Answer: A.

Step-by-step explanation:

1/4 is not in fact a natural number, it's a rational number, a ratio.

Instructions: Find the missing side. Round your answer to the nearest tenth

Answers

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3


Helppp and explain pls and ty

Answers

I’m not positive but last year I got this card and it’s a guide for these types of triangles. Since you’re missing the long leg but you have the short leg you have to do 22 square root 3 in order to find the long leg. That gives you 38.1051177665 so I would say none of the choices

Can someone help me out

Answers

Answer:

17.6 mi

Step-by-step explanation:

I know you are using Windows 10 OS or something because of the cortana thingie and task bar option, and you can do Windows Key + Shift + S to take a screenshot.

This gives much better quality than a third party device and lets us evade the terrible pixel green line rippley thingies that form. Plus it is more efficient and faster.

Circumference formula is Diameter * Pi.

I assume the 5.6 mi. is the diameter since the line segment is going completely through the circle.

Pi is something of the lines of 3.141592653 blah blah blah and goes on forever, but the point is, we take it to be 3.14 when doing circle stuff so we don't die from old age trying to figure out a question of a 1 x 1 circle.

So 5.6 * 3.14 is 17.584 which is your answer.

It says to round to the nearest tenth though, so you round and get

17.6 since the 5 in 17.584 is the tenths place, the 8 is the hundredths place, the 4 is the thousandths place and so on and so forth.

(The "  *  " symbol represents multiplication and is in use all the time when going to higher levels of education.)

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