MATHEMATICS HIGH SCHOOL

Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 
5x^5 + 18x^4 + 30x^3 
5x^6 + 18x^4 + 30x^3
 6x^5 + 18x^4 + 30x^3
 6x^6 + 18x^4 + 30x^3

Answers

Answer 1
Answer: You are given the length of arectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You arerequired to find the volume of a rectangular prism. Using the equation V = l xw x h, we multiply the three dimensions. 

V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
V = 6x^5 + 18x^4 + 30x^3 
The volume of the rectangularprism is 6x^5 + 18x^4 + 30x^3.

Related Questions

A local mechanic charges customers a flat fee of $60 before any work is done and a rate of $85 per hour of labor which equation represents the relationship between the total charge of labor L in dollars and the number of hours worked H. A.) H=85L+6B.) L=145HC.) L=60H+85D.) L=85H+60
Joe solved this linear system correctly.6x+3y=6 y=−2x+2 These are the last two steps of his work. 6x−6x+6=6 6=6 Which statement about this linear system must be true? a) x must equal 6 b) y must equal 6 c) there is no solution to this system d) there are infinitely many solutions to this system
Prove: if a+c=b+c, then a=b. Statement 1: a+c=b+c Statement 2: a+c+(-c)=b+c+(-c) Statement 3: a+[c+(-c)]=b+[c(-c)] Statement 4: a+0=b+0 Statement 5: a=b. What is the reason for Statement 2? a. Property of opposites b. Associative property of addition c. Addition property of equality d. Identify property of addition
hich function is the same as y = 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2? y = 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2 y = negative 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2 y = 3 cosine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2 y = negative 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2
Add: 7/8 + 5/6 .......

Carol flips a coin, rolls a standard number cube, and randomly chooses a shape from the list below. Find the probability that the coin will show tails, the cube will show a multiple of 2, and a circle will be chosen. (the shapes are a - circle, triangle, square, and parallelogram)

Answers

Answer:

1/16

Step-by-step explanation:

1/4x1/2x1/2

idk if that helps

Courtney reads around 110 words per minute. She procrastinated and now has less than a week to finish her reading assignment. If the book she needs to finish has another 820 pages left and each page has around 350 words, how many hours should she set aside to complete her assignment? Show your work to receive full credit. (10 points)

Answers

First we figure out how many words in total she has to read.
This would be the (number of pages) times (number of words per page).

820 * 350 = 287000
so she has to read 287000 words

we divide this by 110 to get how long it would take for her to finish (in minutes)
287000 / 110 = 2609.09090909....

then since there are 60 minutes in an hour, we divide that number by 60
2609.09090909... / 60 = 43.48484848...

Therefore it would take her about 43.5 hours to complete her assignment.

Answer:

43.5 hours

Step-by-step explanation:

Courtney needs to set aside at least 43.5 hours. We need to figure out many words she needs to read in total.So we need to do 820 * 350287000.We then need to divide by 110 so we can the time in minutes. 2609.09090909....Then we divide the number 60 since the question is asking us for hours. Therefore it would take her about 43.5 hours to complete her assignment

If the equation for the regression line is y=-8x+3 then the slope of this line is

Answers

The slope of the given linear function y = -8x + 3 will be -8.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given line,

y = -8x + 3

The slope-intercept form is given as y = mx + c

By comparing,

m = -8

Hence "The provided linear function, y = -8x + 3, will have a slope of 8".

For more about the linear function,

brainly.com/question/21107621

#SPJ2
Hey! 

So this equation is already in y=mx+b, therefore the slope is -8. 

If you are still ocnfused google slpoe-intercept form

Hope this helped!

Suppose that normal human body temperatures are normally distributed with a meanof 37°C and a standard deviation of 0.2°C.
What percent of humans have a temperature between 36.6°c and 37.4°c?
Which normal curve is shaded correctly for this problem?

Answers

Answer: Choice B

Explanation:

Let's convert the raw score x = 36.6 to its corresponding z score.

z = (x-mu)/sigma

z = (36.6 - 37)/(0.2)

z = -2

Note that mu and sigma represent the mean and standard deviation respectively. The score z = -2 means we're 2 standard deviations below the mean.

Following those similar steps, you should find that x = 37.4 leads to z = 2.

The temperatures we're focused are on the interval -2 \le z \le 2, i.e. the z values are between -2 and 2 inclusive.

Therefore, the range of temperatures are within 2 standard deviations of the mean.

Visually, we'll go for choice B since this shows the lower two sections shaded (ie the panels to the left of the center) and also the upper two sections shaded. According to the Empirical Rule, this accounts for roughly 95% of the normal distribution.

Jean needs to graph the function below y= 7x^2 + 8x - 6 How many time should the graph of this function intersect at the x-axis?A) 3
B) 2
C) 1
D) 0

Answers

It's a quadratic curve that has a y-intervept below the x axis. Therefore it crosses 2 times

Why is 1/6 greater than 1/8 but less than 1/3

Answers

I would show it in decimals. Seeing it to show how close it is to one would make it a lot easier- 1/6= .16. 1/8=.125 and 1/3=.33 So looking at the decimals you can see how one would be bigger than the other
Other Questions
Are there any maths genius here can help?​
The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) . The coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) . What is the sequence of transformations that maps △DEF to △D′E′F′
True or False. A sinusoid is a function whose values repeat based on positions of a point that moves around a circle.
Which angle measure less than or equal to 360° is equivalent to an angle of 17pi/4