Please help will mark brainliest!

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Step-by-step explanation:

it is 6.79

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

Answer:

A, C

Step-by-step explanation:

If it is inversely proportional then y = k/x

Let's try one by one for the options. (im replacing y and x in the equation and finding k to see if k is the same all throughout)

A.

6 = k/1 (k=6)

3 = k/2 (k=6)

2 = k/3 (k=6)

1.5 = k/4 (k=6)

Yes! It's the same everywhere so this is correct!

B.

7.5 = k/2 (k=15)

5 = k/3 (k=15)

3 = k/5 (k=15)

2 = k/7 (k=14)

For the last one k is not the same so nope. It is wrong.

C.

24 = k/1 (k=24)

8 = k/3 (k=24)

k = 6×4 = 24

k = 24×1 = 24

This is correct too.

D.

k = 0.1×200 = 20

k = 0.3×40 = 12

k = 0.8 × 25 = 20

We can already see that k is not the same everywhere.

Only A and C, x and y are inversely proportional for all of the values

Answer: c

Step-by-step explanation:

Answer:

Answer to A would be 147872265.5 km squared.

I don't really have enough information to get B and C. But i can help. To get the people per kilometer, you divide the number of people by 147872265.5. And you can do the same for ants. Then for C. you divide the number of ants by the number of people. Hope this helps!

Answer:

dvxcv

Step-by-step explanation:

xcvvvv

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Answer: 280 shows.

Step-by-step explanation: The question stated that Circo the clown performs 5 shows a day, which means in a week (5x7 since there are 7 days in a week) he would perform 35 shows. Then you do 35x8, which will therefore give you your answer of 280 shows.

Hope it helps!

Answer:

could you give me what its talking about ?

Answer:

exactly wdym

Step-by-step explanation:

I Can help you but what do you mean

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:

5x+13

Step-by-step explanation:

i multiplied both sides by their lcm

The difference of the given expression is 5x/12 - 5.

The given expressions are (3/4 x-1) and (1/3 x+4).

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Here, (3/4 x-1) - (1/3 x+4)

= 3/4 x -1 -1/3 x -4

= (3/4 x - 1/3 x) -1-4

= 9/12 x - 4/12 x) - 5

= (9-4)/12 x - 5

= 5x/12 - 5

Therefore, the difference of the given expression is 5x/12 - 5.

To learn more about the subtraction of expression visit:

https://brainly.com/question/12959016.

#SPJ2

Answer:

No

Yes

No

Yes

Step-by-step explanation:

If you divide the top  number by the bottom number that is how you get your answer  

2/9

there are two ways it could land on the colors in any order and 9 other possibilities

Answer:

2/9

Step-by-step explanation:

simple logic

Answer:

Welll, of you know the # of the servings, then u can divide it into 5 parts. just ge the # of servings ÷ 5

Answer:192

Step-by-step explanation:look up 96 fl oz to tablespoons and it will give you a calculator.

Answer:

6660 cars

Step-by-step explanation:

There are 1110 in each parking lot so you have to add up 1110 6 times (1110∗6)

Answer:

185

Step-by-step explanation:

Answer:

\(c=-1.12\)

Step-by-step explanation:

\(7.2\left(9c+1\right)=-65.376\)

\(\frac{7.2\left(9c+1\right)}{7.2}=\frac{-65.376}{7.2}\)

\(9c+1=-\frac{227}{25}\)

\(9c+1-1=-\frac{227}{25}-1\)

\(9c=-\frac{252}{25}\)

\(\frac{9c}{9}=\frac{-\frac{252}{25}}{9}\)

\(c=-\frac{28}{25}\)

\(c=-1.12\)

Answer:

40°

Step-by-step explanation:

According to the Triangle Sum Theorem: The sum of the measures of the angles in a triangle will add up to 180°.

So with this, you need to add 70° and 70°.

You get 140°

Then to find the last angle, you will subtract the 140° by 180°.

180°-140° = 40°

Hope this helped! :)

Answer:

 40

Step-by-step explanation:

First you add 70 and 70 together to get 140 then minus it by 180.

Then you will get 40 degrees as your answer.

Hope This Helps :)

Answer: 784 cubic things. lol is this iready

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

Answer: 1 & 4

Step-by-step explanation:

Just did it

Answer:

A.The height of the new trapezoid will be 1 ft.

D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.

Step-by-step explanation:

edg2020

Answer:

34.556

No hundreds, 3 tens, 4 ones, 5 tenths, 5 hundredths, and 6 thousandths.

Step-by-step explanation:

(3x10) + (4x1) + (5x1/10) + (5x1/100) + (6x1/1000)

30 + 4 + 5/10 + 5/100 + 6/1000

34.556

No hundreds, 3 tens, 4 ones, 5 tenths, 5 hundredths, and 6 thousandths.

only C) ig bc x/4=36/4=9>8

0.5 x > 19

If both sides of an inequality are multiplied or divided by the same positive value, the resulting inequality is true

In order to solve this problem, you take the price of the sneakers on sale and divide it by the percentage.

Sale Price = (Original Price) * (Percentage)

Sale Price / Percentage = Original Price

Sale Price / .75 =  Original Price

Answer:

C

Step-by-step explanation:

100 - 18 = 82

62.50 x .82 = 51.25

Answer:

9.53939 = 9.53 or rounded to 9.54

Step-by-step explanation:

Answer:

9.53939 = 9.53 which makes it 9.54 id rounded

Step-by-step explanation:

srry all I can do :(

Answer:

Step-by-step explanation:

Measure B and C:

Subtract 110° - 40°:

The measure of ∠BFC is 70°.

Answer:

12x12 12x6 H = 46cm

Step-by-step explanation:

took quiz

Answer:

46 cm

Step-by-step explanation:

I learned this formula in math last year

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Answer :

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.