Find the value of x in the figure

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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Answer:

52 degrees

Step-by-step explanation:

Iscosceles trangle adds up to 180 degrees.

two sides are the same.

180-68= 112

112 divided by 2 = 52

the three sides are 52, 52, 68

The measure of one of the other angles would be x = 44 degree.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

Isosceles triangles have two angles that are equal.

We are given that One angle of an isosceles triangle is known to be 68°.

Since the two equal angles are 68

We have the angles 68, 68, and an unknown angle x

Now add to 180

68+68+x = 180

136+x=180

x =180-136

x =44

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Answer:

1) width = 10 + 2x

length = 20 + 2x

2) area = (10 + 2x)(20 + 2x)

= 4(5 + x)(10 + x)

3) 4(5 + x)(10 + x) = 600

(5 + x)(10 + x) = 150

50 + 15x + x^2 = 150

x^2 + 15x - 100 = 0

(x - 5)(x + 20) = 0

x = 5 feet

The width of the walkway is 5 feet.

\(\huge\text{Hey there!}\)

\(\mathsf{(2^2 \times 3^4)^3}\)

\(\mathsf{= (2 \times 2 \times 3 \times 3 \times 3 \times3)^3}\)

\(\mathsf{= (4 \times 9 \times 9)^3}\)

\(\mathsf{= (4 \times 81)^3}\)

\(\mathsf{= (324)^3}\)

\(\mathsf{= 324^3}\)

\(\mathsf{= 324 \times 324 \times 324}\)

\(\mathsf{= 104,976\times324}\)

\(\mathsf{= 34,012,224}\)

\(\mathsf{= 2^6 \times 3^{12}}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\large\boxed{\mathsf{Option\ A. 2^6 \times 3^{12}}}\large\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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Answer:

The experimental probability of rolling a 2 or a 3 is 2/9 or 0.222222 (go as long as you like :D)

Step-by-step explanation:

Total number of times cube roller = T = 360,

we have 96 ones, 31 twos, 49 threes, 76 fours, 45 fives, and 63 sixes

The probability of rolling a 2 is,

since we get 31 twos out of 360 rolls,

P(2) = 31/360

The probability of rolling a 3 is,

since we get 49 threes out of 360 rolls,

P(3) = 49/360

the experimental probability of rolling a 2 or a 3 is the sum of these two,

so,

P(2 or 3) = P(2) + P(3) = 31/360 + 49/360 = 80/360 = 2/9

P(2 or 3) = 2/9

In decimal form, P(2 or 3) = 0.2222222

The experimental probability of rolling a 2 or a 3 is 2/9 or (0.2222) .

The number of times a 2 or a 3 was rolled is the sum of the occurrences of twos and threes,

P(2) = 31

P(3) = 49

P(2) + P(3) = 31 + 49 = 80.

The total number of rolls is given as 360.

Now, calculate the experimental probability:

Experimental probability of rolling a 2 or a 3 = Number of times a 2 or a 3 was rolled / Total number of rolls

P(2 or 3) = 80 / 360

After simplifying the fraction:

Experimental probability of rolling a 2 or a 3 = 2/9

Therefore, the experimental probability of rolling a 2 or a 3 is 2/9.

Learn more about Experimental Probability:

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Answer:

3 x 6

Step-by-step explanation:

Its asking, how did Koda get this answer.

Think about it, on the left u have 3 outside and on top you have 6 outside connect those 2 and you get 18 as your answer.

Don't get confused its just showing step by step on how you can do it and why.

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.

Answer:

A repetend / reptend

Step-by-step explanation:

This is because most of the times this number is a 0. And a zero is normally a place holder so we don't add it. And if the repetend is zero the decimals is know as a terminating decimal.

HOPE IT HELPED

Answer:

the answer is 0.5

Step-by-step explanation:

11/2=5.5

6-5.5=0.5

Answer: Heyaa! ~

Your Answer is... 4.5 or in exact form its, 9/2

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Hopefully this helps you! ^^

Number of red marbles pulled = 8

Number of blue marbles pulled = 8

Total marbles pulled = 25

Relative Frequency = Total Frequency / Total number of data values

Relative Frequency of red marble = 8/25

                                                         = 32%

Relative Frequency of blue marble = 8/25

                                                         = 32%

Learn more about Relative Frequency here

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Hope my answer helps you✌️

Mark BRAINLIEST

Answer:

k = 2y^3 + z^3

Step-by-step explanation:

answer found by simplifying both sides of the equation, then isolating the variable.

Answer: linear

Step-by-step explanation:

Answer: where are the numbers?

Step-by-step explanation:

Answer: 5.6

Step-by-step explanation:

70 * 8/100

70 * .08

Answer:

Graph A

Step-by-step explanation

I look at the y-intercept first, and the y-intercept is -4, so looking at each graph you can see both A and D have y-intercepts of -4, since the line intercepts, or goes through the y-axis (the vertical line of the graph) at -4.

Then, you look at the variable that's changing, which is -5x. Since it's a negative, A is the graph that is negatively decreasing, because of its position on the graph. The line is going down, starting in the negative side.

Answer:

The answer is 6

Hope this helps!!  <3

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer:

Jiri's age = 27

Step-by-step explanation:

Let's use x for Jiri's age.

Jiri's age = x

And because Pamela is 8 years older:

Pamela's age = x + 8

Since their ages added up equal 62, the equation will be:

x + x + 8 = 62

2x + 8 = 62

2x + 8 - 8 = 62 - 8

2x = 54

2x/2 = 54/2

x = 27

And because Jiri's age is x, Jiri's age will therefore be 27.

Hope this helped!

Answer:

Jiri is 27 years old.

Step-by-step explanation:

Step 1: Declare variables

Since Pamela is 8 years older than Jiri. Then, Pamela’s age is \(\displaystyle{8+x}\) years old.

Step 2: Form an equation

The sum of their ages together equals to 62. Therefore, we can express in mathematics/equation of \(\displaystyle{x+8+x=62}\) (sum of Jiri’s age and Pamela’s).

Step 3: Solve for x-term - add like terms (x-term)

\(\displaystyle{2x+8=62}\)

Step 4: Subtract both sides by 8

\(\displaystyle{2x+8-8=62-8}\\\\\displaystyle{2x=54}\)

Step 5: Divide both sides by 2

\(\displaystyle{\dfrac{2x}{2}=\dfrac{54}{2}}\\\\\displaystyle{x=27}\)

Since Jiri’s age is defined as \(x\) years old. Therefore, Jiri’s age is 27 years old.

Please let me know if you have any questions!

Answer:

\(\frac{16}{27}\)

Step-by-step explanation:

From the table, we notice that the total number of students is:

\(3+10+8+6=27\)

Then, along the second column of the table, we notice that the number of students who do not have a brother is:

\(10+6=16\)

So, the probability that a randomly chosen student does not have a brother is:

\(\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}\)

Formula used,

Area of rhombus = Base × height

Substituting the values,

\( \longrightarrow\)Area = 18 × 15.5

\( \longrightarrow\) Area = 279 cm²

Therefore, 279 cm² is the area of the rhombus .

Answer:

D) 279 cm²

Step-by-step explanation:

Area of a rhombus formula:
\(A=bh\)

This formula is also used for squares and rectangles.

So, we can substitute in our values such as:

A=(18)(15.5)

simplify

A=279

Now, add our label and units:

A=279 cm²

Hope this helps! :)

Step-by-step explanation:

6

Step 1 write each number as a product of its prime numbers

30=2*3*5

60=2*2*3*5

78=2*3*13

Find the common factors between the stree values in this case it is 2 and 3 then multiply the answer is 6

Answer:

Cost 0.70 Per round

Step-by-step explanation:

Hope this helps :))

Answer:

Or you could just solve for n and pick the choice that matches what you got :)

Step-by-step explanation:

Answer:

6,000cm3

Step-by-step explanation:

10×20×15 = 3,000

3,000×2= 6,000

Answer:

Step-by-step explanation: Multiply all the numbers and the answer you get is the volume.9,000,000

Answer: Where is the question?

Step-by-step explanation:

I'm sorry, I'm not sure what you mean. Could you please clarify which questions you are referring to and what you would like me to add together?