The distance from Leoti, Kansas to Dighton, Kansas on the map is approximately 2.5 inches. The key to the map states that 1 inch is equal to 20 miles. Which of the following best approximates the distance from Leoti to Dighton?

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:

59°

Step-by-step explanation:

The maximum temperature is just the y-coordinate of the uppermost point on the graph, which is (6 hr, 59°). Hence, it is 59°.

Answer:

672 Cubic Yd.

Step-by-step explanation:

14*8*6=672

Answer:672 cubic yards

Step-by-step explanation:

Answer:

The smallest value the expression could have is 1.

Step-by-step explanation:

If a and b are different numbers selected from the first 25 whole numbers (1 through 25), and a is greater than b, the smallest value the expression could have is when b is the smallest possible value and a is the next smallest value.

The smallest possible value for b is 1, and a must be greater than b. Therefore, the smallest possible value for a is 2.

So, the smallest value the expression could have is 2 - 1 = 1.

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Step-by-step explanation:

15+12x=13x+5

we move all terms to the left :

15+12x-(13x+5)=0

We get rid of parentheses

12x-13x-5+15=0

We add all the numbers together , and all the variables

-1x+10=0

We move all terms containing x to the left , all other terms to the right

-x = -10

x = -10/-1

x= +10

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

In our case,

Answer:

$11.43

Step-by-step explanation:

use a calculator and type in 76.25 + 15%, which will equal 87.68.

Then you subtract 76.25 from 87.68. 87.68 - 76.25 = 11.43.

A 15% tip would be $11.43

Answer:

what we solving for???? ill answer in the comments

Step-by-step explanation:

Answer:

I believe the answer is 206

Step-by-step explanation:

I did 4+16 which gives you 20 then 22x 20-78x3

Answer:_______

29 degrees

Answer:

40π ft. is the circumference of the circle.

Step-by-step explanation:

1. Multiply the area by two (2). That is your answer.

Hope this works out for you!! :)

Your answer to ur question since the last one was deleted will be 48 cm

8x6=48

Answer:

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.2 = 4

5.2 / 1.3 = 4

3.6 / x = 4

Knowing that the scaling for each edge is 4, we can solve for x.

3.6 / 3 = x

1.2=x

So we know the edges for D are 4.8, 5.2, and 3.6 respectively to D’ scaled by 1/4. So we can determine that the edges for D’ are 1.2, 1.3, and 1.2 respectively to D scaled by 4.

So if we go D’ to D, we scale by 4. If we go D to D’, we scale by 1/4.

Answer:

1/4 (*^▽^*)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

yea yeah

Step-by-step explanation:

singing challenge

Answer:

1. Distributive property

2. Addition property of equality

3. Subtraction property of equality

4. Division property of equality  

169/2 = 84.5

125/3=-41

Answer:

Problem one:

let the variable be x:

\({ \tt{2x = 169}}\)

• apply division property of equality:

\({ \tt{ \underline{ \: \: x = 84 \frac{1}{2} \: \: }}}\)

Problem two:

let the variable be y

\({ \tt{3y = - 125}}\)

• apply division property of equality:

\({ \tt{ \underline{ \: \: x = - 41.67 \: }}}\)

Answer:

k = 2

Step-by-step explanation:

f(x) and g(x) = f(x) + k

G(x) is the function f(x) moved up k units

G(x) is moved up 2 units so k is 2

Answer:

The answer is k = 2. The value of k is 2.

Step-by-step explanation:

I hope this answers your question :) Have a great day :)

Answer: Option 4

Step-by-step explanation:

Commutative property is when you change the order of the operands but it does not change the answer like 5 times 6 and 6 times 5 all = 30.

In this case, the fourth answer is correct because 7/15 x -11 x 30 is the same as 7/15 x 30 x -11 but -11 and 30 are switched around.

Hope this helps you!

:)

Answer:

algebraic expression. you have to solve for x. there is one term. the coefficient is 5. five times x plus ten

Step-by-step explanation:

Step-by-step explanation:

=> It is an algebraic expression.

=> There are 2 terms 5x,10.

=> Yes,there is a variable X the coefficient is 5.

=> Expression in words = Five times X plus ten.

Hope this helps you.

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

An isosceles triangle has 2 sides that are equal.

I plotted these points. See attached screenshot.

The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.

The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.

These two sides make a right triangle and are equal length. This is an isosceles right triangle.