Which is the completely factored form of her polynomial? (3x2 – 5) (x + 8) (3x2 – 8) (x + 5) (3x2 + 8) (x – 5) (3x2 + 5) (x – 8)

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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⇒If you are to check carefully you will find that b-a= -(a-b)

⇒meaning in order to obtain the equation of b-a we multiply the whole equation of a-b by -1

\(-(a-b)=-(50\\-a+b=-5\\b-a=-5\)

hope this helps

Answer:

The values can be infinite, but for this to be true, a has to be 5 more than b, so if you subtract them, b-a will always equal -5 if a-b=5

Step-by-step explanation:

Example:

A=10

B=5

10-5=5     5-10= -5

Or:

A=15

B=10

15-10=5    10-15= -5

This can go on forever by increments of 5, as long as they are 5 apart.

Answer:

j

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answer:

kiloliter since 1 kiloliter is equal to 1000 liters and the rest are smaller than a kiloliter

Answer:

kiloliter

Step-by-step explanation:

I hope this helps :)

Answer:

draw a line that makes a triangle and rectangle.

hypotenuse= 30

3k-4k-5k triangle

18-24-30

so the short part of triangle is 18 cm

10+10+18+24+30 equals 92

sorry for language I am not familiar with English

the perimeter of this shape is

24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm

Answer:

1. 1509

2 2674

3 6329.8

Step-by-step explanation:

hope it helped

Answer:

1. 1,509

2. 2,674

3. 63,298

Step-by-step explanation:

Calculator.. But a trick to dividing decimals like these is for example the first one the second decimal is 0.01 the one is in the thousandths place so you take the decimal move it over to the left by 1 (in this case) and change the decimal to a comma and you have your answer!

Answer:

45

Step-by-step explanation:

20÷4=5 colored headbands so...

5×5=25 printed so then add 20+25

Answer:

the 3rd one is correct

Step-by-step explanation:

Answer:

the one you picked

Step-by-step explanation:

I took the exact same question

Hope this helps

branliest??!!

Answer:

It is associative property.

(a+b)+c = a+(b+c)

A factor is a term that is common in the whole expression thus the factor -6 out of 18z - 15 is -6(3z + 5/2).

An algebraic factor is the multiplication of two algebraic terms.

If we divide an algebraic factor by a factor that is available inside then the remainder after the division will be zero.

As per the given expression,

18z - 15

The factor out -6 will be,

⇒ -6(18z - 15)/(-6)

⇒ -6((-18/6)z + 15/6)

⇒ -6(3z + 5/2)

Hence "A factor is a term that is common in the whole expression thus the factor -6 out of 18z - 15 is -6(3z + 5/2)".

For more about the algebraic factor,

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Answer:

pretty sure the 1st choice and 3rd choice are correct not

Step-by-step explanation:

Answer:

A

B

D

Step-by-step explanation:

Solve each equation regular and only 3 equal 7

Answer:

volume

Step-by-step explanation:

cubic units means volume

Answer:multiply the value of each dimension (ength, width, and height

Step-by-step explanation:

Answer: A

Step-by-step explanation:

A. yes because -52 and -32 are separated by a distance of 20 units

B. no because -3.4 and 2.2 are not separated by more than 5 units

C. no because -4.2 and 1.3 are not separated by more than 5 units

D. no becasue 5 and 1 are not separated by more than 5 units

Answer:

A, B, C

Step-by-step explanation:

A coordinate is written as (x, y) where:

For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5.  To find the difference between two values, subtract the smaller value from the larger value.

A.  (-1, -52) and (-1, -32)

Difference in y-values:  (-32) - (-52) = 20

B.  (1.8, -3.4) and (1.8, 2.2)

Difference in y-values:  (2.2) - (-3.4) = 5.6

C.  (-3.5, -4.2) and (-3.5, 1.3)

Difference in y-values:  (1.3) - (-4.2) = 5.5

D.  (4, 5) and (4, 1)

Difference in y-values: 5 - 1 = 4

Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.

Answer:

Step-by-step explanation:

Answer:

Explanation:

Answer:

Explanation:

Answer:

Explanation:

Answer:

Explanation:

Answer: YOUR MOM

Step-by-step explanation:

Answer:

48.1 somewhere around 36 and 57

Step-by-step explanation:

Answer:

36-57

Step-by-step explanation:

18.50 x 2.6 = 48.10, which is between those two numbers

Answer:

2011/2%=10.055

Step-by-step explanation:

Answer:

It is \(\frac{1}{2}\) (12 × 4) = 24

Step-by-step explanation:

\(\frac{1}{2}\) (base × height) = area of triangle

\(\frac{1}{2}\) (12 × 4) = area

area = 24

Answer: 5y+10

Use the distributive property and multiply 5 x y and 5 x 2

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!! :)

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

For more about the percentage,

brainly.com/question/13450942

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Answer:

It would be A

Step-by-step explanation:

Answer:

\(y=-4x+5\)

Step-by-step explanation:

Parallel lines have the same slope, but different y-intecpets. They are lines that travel in the same directions but never intercept.

Answer:

-4

Step-by-step explanation:

Parallel lines have the same slope. So if one line had a slope of -4, the other line would too.

Answer:

5cm is a correct answer

Answer:

5

Step-by-step explanation:

80/16

Answer:

Step-by-step explanation:

uhhhhh you should count by 2

Answer: 2(y + 6)(-y + 6)

Step-by-step explanation: Factor 72 - 2y^2

                                             -2y^2 + 72

                                             = 2(y + 6)(-y + 6)

Answer:

\(-2\left(y+6\right)\left(y-6\right)\)

Step-by-step explanation:

\(72-2y^2\)

\(-2y^2+72\)

Factor out GCF.

\(2(-y^2+36)\)

Apply difference of two squares formula.

\(-2\left(y+6\right)\left(y-6\right)\)