a rectangle prism has a volume of x^3 + 6x^2 - 7x - 60. If the height of the prism is x + 4, the dimensions of the base are

Answers

Answer 1
Height = volume / area of the base
= 10x^3 + 46x^2 - 21x - 27 / 2x^2 + 8x - 9
10x^3 / 2x^2 = 5x so the first term in the answer will be 5x

Related Questions

If you earned $60 from $500 in sales , What is the percent commission?

Answers

Answer:

300

Step-by-step explanation:

Value of ratio 3/4 to 2

Answers

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 years

Answers

Answer:

2

Step-by-step explanation:

Please help it’s for my test I’ll give points to who ever is correct and gives an honest answer

Answers

Answer:

A

Step-by-step explanation:

(f-g) = f(x) - g(x)

([tex]4^{x-1}[/tex] + 6) - (2x - 5)

[tex]4^{x-1}[/tex] + 6 + 2x + 5

[tex]4^{x-1}[/tex] + 2x + 11

Graph f(x)=|x+1|+2. Shows vertex and 4 points.

Answers

Answer:

[tex](-1,2)[/tex]

Step-by-step explanation:

The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]

The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.

The+2 outside the absolute value vertically shifts the graph 2 units upward.

So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]

Vertex: (-1,2)
Here’s the graph

Factor completely 185-32 Enter your answer in the boxes​

Answers

Answer:

2 (9b - 16)

Step-by-step explanation:

18b - 32

2 (9b - 16)

Answer:

2(9b-16)

Step-by-step explanation: I looked it up on m a t h w a y sorry if its wrong! <3

Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10

Answers

Answer:

y = -7

Step-by-step explanation:

✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):

Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0

Slope (m) = 0

✔️Find y-intercept (b):

y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.

Therefore, y-intercept (b) = -7

✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):

y = 0(x) + (-7)

y = -7

.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?​

Answers

Answer:

y cuál es la cantidad inicial de platos?

If I have a 74 in one of my classes and then I get a 100 on my test what will my grade be

Answers

Around a 90 percent

Answer:

Depends on the weight of the test

Step-by-step explanation:

this stuff is kinda hard please help me find the answer

Answers

Answer: 1 is D and 2 is B I think

Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)

Solve for x.
5x + 14 greater than or equal to 54

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

Move the sliders to set the values of r, h, and k, and record at least three different sets of data. Also record the equations of the corresponding circles.

Answers

Answer: Hope this helps! xx have a good day!

Step-by-step explanation:

The equations of the corresponding circles can be any equation only have to satisfy the  general equation for  circle .

What is general equation of circle?

A circle is the set of all points in a plane at a given distance (called the radius ) from a given point (called the center.)

We know that the general equation for a circle is

[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex],

where ( h, k ) is the center and r is the radius.

According to the question

The equation of circle given is

[tex]x^{2} + y^{2} = 1[/tex]

Center at origin

i.e

(h,k) = (0,0)

and radius = 1 unit

Now ,

By changing changing center (h,k) and radius of equation it will give following equations

h                      k                       r                            equation of circle

0                       1                       3                        [tex]( x - 0 )^2 + ( y - 1 )^2 = 3^2[/tex]

2                       2                       3                        [tex]( x - 2 )^2 + ( y - 2)^2 = 3^2[/tex]

1                        1                        1                         [tex]( x - 1 )^2 + ( y - 1 )^2 = 1^2[/tex]

-2                      -1                       2                        [tex]( x +2 )^2 + ( y + 1 )^2 = 2^2[/tex]

3                       2                       1                         [tex]( x - 3 )^2 + ( y - 2 )^2 = 1^2[/tex]

-5                      1                        3                        [tex]( x +5 )^2 + ( y - 1 )^2 = 3^2[/tex]

Hence, the equations of the corresponding circles can be any equation only have to satisfy the  general equation for  circle .

To know more about general equation for a circle here:

https://brainly.com/question/10618691

#SPJ2

Science (from the Latin word Scientia, meaning "knowledge") is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
The earliest roots of science can be traced to Ancient Egypt and Mesopotamia in around 3500 to 3000 BCE

Answers

Answer:

?

Step-by-step explanation:

What are you even asking-

Shawna went shopping at the thrift store yesterday and came home with 12 items and she only spent $31.50. She only got shirts and pants. If each shirt cost $2 and each pair of pants cost $3.50, which system of equations would represent this situation?

Answers

Assuming pants=x and shirts=y

2y+3.50x=31.50 and 2y= 31.50-3.50x

I hope this helps you out!

Who can help me with this question problem

Answers

Answer:

use the formula and evaluate the givens

Step-by-step explanation:

336=(14/11)^2 * 22/7*h

336=196/121 * 22/7h

336= 4312/847h

336= 5.09h

h=66

Can the table below represent values of a function? explain why.

Answers

Try it yourself, I'll explain the concept

In a function, each x-value matches to exactly one y-value

If it matches to more than one y-value, it is not considered a function

Now look at the x and y values in each table to determine if it is a function or not

:)

find the value of find the value of a -7 when a equals 19 ​

Answers

Answer:

12

Step-by-step explanation:

You have to substitute a by 17 and then just subtract.

round 18334 to hundreds​

Answers

Answer:18300

Step-by-step explanation:

18300 , the third number is where hundreds are

I need some gosh darn help because I will fail my math test. Suppose two angles in a coordinate plane, one measuring 80 and the other measuring 160, were both rotated 180 about the origin and then translated 40 units down. which of these would be a measure of one of the resulting angles? Select 2 answers

Answers

Answer:

120 and 40

Step-by-step explanation:

Because when we subtract 80 and 40 is equal 40 or 160 and 40 is 120.

The percent of sales tax is 8%. What is the dollar amount of sales tax on a skateboard that costs $86.00?

Answers

Answer:

6.88

Step-by-step explanation:

8/100= 0.08

0.08×86 = 6.88

Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.

Answers

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

According to the DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white. In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white. Identify the underlined values as parameters or statistics and give the appropriate variable. Spell out phat, x-bar, mu, sigma for the variable names. Which of the following statements istrue?

a. 19% and 23% are parameters, 100 is a statistic.
b. 23% is a parameter, 19% is a statistic.
c. 23% is a statistic, 19% is a parameter.
d. 19% and 23% are statistics, 100 is neither a parameter nor a statistic.
e. 19%, 23%, and 100 are all statistics.

Answers

Answer:

b. 23% is a parameter, 19% is a statistic.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

23% of all cars manufactured in 2012 were white.

This is from the population(all cars), so 23% is a parameter.

In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white.

100 is the size of the sample, which is neither a parameter, nor a statistic.

19% is from the sample of 100, so it is a statistic.

The correct answer is given by option b.

The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%

Answers

Answer:

15,000,r=30%

Step-by-step explanation:

can somebody help me?

Answers

Answer:

1 and 2

Step-by-step explanation:

Can a triangle have three acute angles? Justify your answer

Answers

Yes because each side can be measured at atleast 90 degrees.

is a 4(2x-3)<8(x+1) always ,sometime,or never true?

Answers

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

8

x

12

<

8

x

+

8

Step 2: Subtract 8x from both sides.

8

x

12

8

x

<

8

x

+

8

8

x

12

<

8

Step 3: Add 12 to both sides.

12

+

12

<

8

+

12

0

<

20

Target buys pants for $6.42 and marks up the price for customers by 70%. How much do they sell pants for?

0.7\left(6.42\right)=\$4.490.7(6.42)=$4.49

$4.49 is not the correct answer. What is the mistake? Explain.

Answers

To find the answer do the following

$6.42*.70=$4.49 this is the mark up

Now $6.42+$4.49=$10.91 for the sales price

So Target sells the plants for $10.91 to their customers.

You just forgot to add the initial price to the mark-up

Hope it helps.

Which is the better deal?

Box of Cheerios

48 oz for $3.99

36 oz for 2.59

12 oz for 1.99

Answers

48 oz?

Step-by-step explanation:

I don't know if you are just asking or what not but I belive it is 48 ozs but I could be wrong

Answer:

36oz for 2.59

Step-by-step explanation:

Try doubling each possible answer (largest isn't required):

36oz for 2.59 doubled is 72oz for 5.18.

12oz for 1.99 doubled is 24oz for 3.98.

The clear answer is 72oz for 5.18 instead of 48oz for 3.99.

The formula for compound interest is:

Where:

A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for

If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?

Answers

Answer:

Future value, A = $642

Step-by-step explanation:

Given the following data;

Principal = $500

Interest rate = 5% = 5/100 = 0.05

Time, t = 5 years

n = 365

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]

[tex] A = 500(1 + 0.000137)^{1825}[/tex]

[tex] A = 500(1.000137)^{1825}[/tex]

[tex] A = 500*1.2840 [/tex]

Future value, A = $642

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