Reading a Bar Graph Worksheet

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

Answer:

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.

Answer:

Step-by-step explanation:

4.625%- percents and decimals are the same

four and five eighths- five divided by eight is (.625) and 4+ (.625) is 4.625

thirty seven eighths- 37 divided by 8 is 4.625

Answer:

y-intercept : 8

slope: -1/2

equation:   \(y = -\dfrac{1}{2}x + 8\)

Step-by-step explanation:

The y-intercept is where the line crosses the y axis and you can see it crosses at y = 8 (when x =0)

Slope of the line can be found by the formula (y2-y1) / (x2-x1)  where 9x1, y1) and (x2, y2) are two points on the line

Let's take the points (0, 8) and (10, 3) the two extreme points on the line

Slope = (3 - 8) / (10 - 0) = -5 / 10 = - 1/2

Equation of a line in slope intercept form is

y = mx + c

where m is the slope  

b is the y intercept

The equation of the line is therefore

\(y = -\dfrac{1}{2}x + 8\)

Answer:

Y-intercept = 8

Slope = -1/2t

Equation = y =-1/2x+8

Step-by-step explanation:

When x = 0, y = y-intercept.

Therefore, the y-intercept is 8.

We can find the slope using the formula y2-y1 / x2-x1 = m.

Let's use the points (0,8) and (4,6)

6-8 / 4-0 = m;

m = - 1/2.

Given that the generic formula is y=mx+b, and m-slop and b=y-intercept, we have:

y = -1/2x+8.

Answer:

Answer attached

Step-by-step explanation:

steps and answer in attachment

Answer:

Which of the following actions would a person need to avoid when caught outside during a thunderstorm in order to minimize the risk of being hurt by lightning?

using a plastic umbrella

walking on wet land

hiding in closed areas

taking cover in low structures

Step-by-step explanation:

wallking on wet land / B

The person should avoid walking on wet land. Option B) is correct

Thunderstorm, is unstable whether of rain season mostly inwhich lightning or string of current emerges.

While walking in thunderstorm person must keep precaution
and stay away from the wet land cause chances of lightning on wet land is the most

Thus the person should avoid walking on the wet land.

Learn more about thunderstorm here:
https://brainly.com/question/12712011

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The coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).

Scale factor = \(2\frac{1}{2}\)

= 2.5

The reflection of point (x, y) across the x-axis is (x, -y).

Here, N(-4, 6)→(-4, -6)

M(-6, 2)→(-6, -2)

G(-2, 4)→(-2, -4)

Now, with scale factor 2.5, we get

(-4, -6)→2.5(-4, -6)→N'(-10, -15)

(-6, -2)→2.5(-6, -2)→M'(-15, -5)

(-2, -4)→2.5(-2, -4)→G'(-5, -10)

Therefore, the coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

To learn more about the reflection over x-axis visit:

https://brainly.com/question/15175017.

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Answer:

A 6660 it decreases by 820 so 8,300-820=7480 and then 7480-820=6660

$6,660

Answer: The cost after 7 years should be $5740.

Step-by-step explanation:

If you find the ammoun that the value decreases each year, and multiply that by your 7 years you get your answer.

Answer :answer is  L over 3 equals 6; L = 18 feet

Answer: The answer should be C (72).

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

D. x \(\leq\) 4

Step-by-step explanation:

1. You add 6 to each side

2. Divide each side by 5 to isolate x

Answer:

answer is A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

Answer:

162

Step-by-step explanation:

Answer: c:162

Step-by-step explanation: hope i helped

Answer:

9^-5/9^-7=81

Step-by-step explanation:

Answer: 7.28 km

Step-by-step explanation: so first we need to figure out the amount of meter he swam. 2 weeks is 14 days. 14 ✕ 520 = 7280

Then we figure out the km. 7280 converts to km is 7.28  km

Answer:

fd

Step-by-step explanation:

spañol

Answer:

The answer might be number b

Answer:

D

Step-by-step explanation:

there are 3 ft in a yard, so to find how many yards you multiply 3 time 12, which equals 36.

Answer:

D 36

Step-by-step explanation:

math

Answer:

Please provide an image of the line plot so your question can be answered.

Option (D) 1 1/2 pounds

I got this question once in a quiz.

Answer:

scale 1-1in=3ft

scale 2-1in=4ft

Answer:

Step-by-step explanation:

I feel like its C

Answer:

The values of x that makes f(x) have a valid asymptote are 1 and 8

Step-by-step explanation:

Given

\(f(x) = \frac{9}{(x-1)(x-8)}\)

Required

At what value does f(x) has a vertical asymptote

To solve this, we simply equate the denominator of f(x) to 0;

This is done as follows

\({(x-1)(x-8)} = 0\)

This can be split to

\({(x-1) = 0 \ or\ (x-8)} = 0\)

Remove brackets

\(x-1 = 0 \ or\ x-8 = 0\)

Make x the subject of formula in both cases

\(x-1+1 = 0+1 \ or\ x-8+8 = 0+8\)

\(x= 0+1 \ or\ x = 0+8\)

\(x= 1 \ or\ x = 8\)

The values of x that makes f(x) have a valid asymptote are 1 and 8

Answer:

The correct answer is 1 and 8

Step-by-step explanation:

Answer:

5,9

Step-by-step explanation:

I think row A would be 5 and B would be 9 im sorry if im wrong

Answer: A deposit of 50$

Step-by-step explanation:

First, 9 Degrees below 0. 0-9 is -9 so this is a negative integer.

Second, deposit of 50$  so pretend your bank amount is x so x+ 50$ would be x + 50! Which is a positive integer

Finally, A weight loss of 10 pounds, x- 10 is probably a negative integer.

Hope this helps!

Answer:

$8.50, the rate is 9.65%

Step-by-step explanation:

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.