The volume of a box with height x, length x-1, and width 2x+2 is given by the binomial 2x^3-2x. What is the volume of the box if it’s height is 4 feet?

Answers

Answer 1

Height = x

Length = x - 1

Width = 2x + 2

And it's said that height = 4 feet

So, x = 4

Then:

H = 4

L = 4 - 1 = 3

W = 2.4 + 2 = 10

The volume is:

V = 4 . 3 . 10

V = 120 ft³


Related Questions

In solving an equation with a variable, an operation can be applied to _____ side(s) of the equation.

one
either
both

Answers

Answer:

Both.

Step-by-step explanation:

This was so long ago but....

Answer:

both

Step-by-step explanation:

hi ny name is maddison i have 9746 beets and jackson has 6x more what is your answer​

Answers

Answer:58,476

Step-by-step explanation:

Answer:

58476 beets

Step-by-step explanation:

Write the equation of the circle with center (0, 0) and (−1, −3) a point on the circle. A) x2 + y2 = 4 B) x2 + y2 = 5 C) x2 + y2 = 10 D) x2 + y2 = 16

Answers

ANSWER

C)

[tex] {x}^{2} + {y}^{2} = 10[/tex]

EXPLANATION

The center of the circle is (0,0).

The circle passes through (-1,-3).

The radius can be obtained using the distance formula:

[tex]r = \sqrt{(0 - 1)^{2} + {(0 - - 3)}^{2} } = \sqrt{10} [/tex]

The equation is given as:

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

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

This implies that;

[tex]( {x - 0)}^{2} + ( {y - 0)}^{2}= {( \sqrt{10)} }^{2} [/tex]

[tex] {x}^{2} + {y}^{2} = 10[/tex]

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6 pie meters long. What is the radius r of the circle that the python forms?

Answers

Answer:

r = 1.3 meters  

Step-by-step explanation:

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle.

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle.  

The python is 2.6 pi (2.6π) meters long.

What is the radius r of the circle that the python forms?

Now we have: C = π d, or (with d = 2 r):  C = 2 π r.

Changing that around: r = C / 2 π

So with our value of C = 2.6π meters, that gives us:

r = 2.6π/2π = 2.6/2, so r = 1.3 meters  

Answer:

The answer is 1.3

Step-by-step explanation:

Because it is half of the diameter which was 2.6

What is the answer? 1000-20000=_


A) -0
B) -1000
C) -19000
D) -200


Answers

Answer:

-19000

Step-by-step explanation:

1000-20000=-19000

Answer:

C -19000

Step-by-step explanation:

          1,000

     - 20,000

----------------------=

        -19000

what is

the sum of the distance d,times 8 and 5



Answers

I think it is 8d+5.

The answer is 8d + 5

Malik
bought two tires for $45 and later sold for $65

Answers

Alright. We don't have the question, but Im going to assume it.

2 tires = $45

Later Sold for $65

Revenue is $20

If you mean sold both for each -

Revenue is $85

For this case we can indicate the profits obtained by Malik.

[tex]P = p-c[/tex]

Where:

P: They are the profits

p: It is the sale price

c: It's the cost

We have Malik buy the tires at $ 45, then the cost is $ 45. As he sold them at $ 65 then the sale price is $ 65.

We have:

[tex]P = 65-45\\P = 20[/tex]

So, Malik made a profit of $ 20 $

Answer:

Malik made a profit of $ 20

Two opposite rays
form
a line.
never
sometimes
always​

Answers

Answer:

always.

Step-by-step explanation:

A ray has a starting point but no end point. Therefore if 2 opposite rays are connected at their endpoints, a line is formed. I cannot think of an exception to this because the definition of a ray is very rigid (the end point is always included).

What inequality represents the verbal expression? all real numbers less than 70

Answers

For this case we have:

Let x be the variable that belongs to the real numbers. Then, all reals less than 70 can be expressed as:

[tex]x <70[/tex]

The tip of the inequality is directed to the real numbers, since they tell us that they are less than 70, for 70 the inequality remains open.

Answer:

[tex]x <70[/tex]

y=37*1.26^x is rhis a growth or a decay​

Answers

Answer:

If x is greater than 1 it is growth, if it less than it is decay

Step-by-step explanation:

someone please help?

Answers

Answer:

-4

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points N(1, -4) and M(-1, 4). Substitute:

[tex]m=\dfrac{4-(-4)}{-1-1}=\dfrac{8}{-2}=-4[/tex]

Kia buys 2 Cartons of Vanilla Ice Cream And 6 Cartons of Chocolate Ice Cream. Each carton contains 32 ounces of ice cream. She serves 4 ounces of ice cream in each bowl. What is the greatest number of bowels of ice cream that Kia can serve? ​

Answers

64 bowls because if you Multiply eight times 32. You would get 256 and then you divide that into four and would get 64 which is your answering

the greatest number of bowls of ice cream Kia can serve is 64.

The student wishes to determine the greatest number of bowls of ice cream that can be served given certain quantities of ice cream and serving sizes. To solve this, we first calculate the total amount of ice cream by adding the quantities of vanilla and chocolate ice cream. Kia bought 2 cartons of vanilla and 6 cartons of chocolate, each containing 32 ounces. Thus, the total amount of ice cream is (2 + 6) × 32 ounces. Each bowl served contains 4 ounces of ice cream. To find the number of bowls, we divide the total ounces of ice cream by the ounces per bowl. This yields (8 × 32) ÷ 4, which calculates to 64 bowls. Therefore, the greatest number of bowls of ice cream Kia can serve is 64.

show me a multiplication chart​

Answers

Here Is A Standard Multiplication Chart

Answer:

The required chart is shown below:

Step-by-step explanation:

Multiplication is also called repeated addition.

Using a multiplication chart or time table, a simple way to do the daily calculations is.

A multiplication graph is a table showing two-number products. One set of numbers is typically written in the left column and another set is written in the top row. The goods are represented as numbers in a rectangular array.

The required chart is shown below:

HELLO. I NEED HELP ON A HANDFUL OF QUESTIONS. PLEASE HELP. ​

Answers

Question 7: $3945

78,900÷100×5= 3,945

or 789,00×0.05= $3,945

Question 8: I think it may be $675.46 ( but I'm not sure)

$1010 is her annual insurance premium so to find one month we need to divide $1010 by 12

$1010÷12= $84.20

also her annual real estate tax is $938 and to find one month we need to divide this by 12 as well.

$938÷12=$78.20

and in order to find out her combined monthly payment we need to add them all together

$513.12+$84.16+$78.16= $675.46

Question 9: is False

Question 10: I don't know

Hope this helps

In 26 years, Peter will be 54 years old. In how many years will he be 75 years old?

Answers

Peter will be 75 years old in 47 years.

Answer:

In 47 years Peter will be 75 years old

Step-by-step explanation:

If Peter will be 54 years old in 26 years then subtract 26 from 54

54-26=28

This means that Peter is 28 right now, if you want to double check that work then add 26 to 28 implying that in 26 years Peter with be 54 years old

28+26=54

This shows that your calculations are correct! Now you have to figure out how many years from now will Peter be when he turns 75 years old, so you subtract his current age which is 28 from 75

75-28=47

Now to double check this add 47 to his current age which is 28

28+47= 75

This shows that your calculations are correct and it will take 47 years for Peter to be 75 years old!

Given: F(x)=x+2 and g(x)=3x+5
(f-g)(x)=​

Answers

Answer:

- 2x - 3

Step-by-step explanation:

note that (f - g)(x) = f(x) - g(x)

f(x) - g(x) = x + 2 - (3x + 5) = x + 2 - 3x - 5 = - 2x - 3

Select the expression that is equivalent to (x+4)^2

Answers

Answer:

So for this problem, we can use the formular:

(A + B)² = A² + 2AB + B²

Our orginal expression is: (x + 4)². In this expression, A can be written as x, B represents for 4, that leads to our answer:

(x + 4)² = x² + 2 . 4x + 4² = x² + 8x + 16

The correct answer will be D

Answer:  the correct option is (D) [tex]x^2+8x+16.[/tex]

Step-by-step explanation:  We are given to select the expression that is equivalent to the following expression :

[tex]E=(x+4)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following formula :

[tex](a+b)^2=a^2+2ab+b^2.[/tex]

Using the above formula, the expression (i) gives

[tex]E\\\\=(x+4)^2\\\\=x^2+2\times x\times4+4^2\\\\=x^2+8x+16.[/tex]

Thus, the required equivalent expression is [tex]x^2+8x+16.[/tex]

Option (D) is CORRECT.

The graph shows which inequality? The equation of the boundary line is y=-2x-3.

Answers

For this case we have that the equation of the border line of the region is given by:

[tex]y = -2x-3[/tex]

To know the sign of inequality, we must evaluate a point that belongs to the region and verify if it is fulfilled.

As the border line is dotted, we discard options A and C.

Then, we evaluate the point (-2, -4)

Option B: [tex]y <-2x-3[/tex]

[tex]-4 <-2 (-2) -3\\-4 <4-3\\-3 <1[/tex]

Is fulfilled!

Thus, the region is given by the inequality of option B.

Answer:

Option B

Write the equation of the graphed function. A. y = 5⁄4x + 3 B. y = 4⁄5x + 3 C. y = 4⁄5x – 3 D. y = 5⁄4x – 3

Answers

Is their a picture you can upload to show us?

Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350.
Kyle’s total sales for the month of February were $15,000, and his total earnings for that month were $1,575.
What is Kyle’s fixed monthly salary in dollars?

Answers

Answer:

$900

Step-by-step explanation:

Let the fixed salary be x and the commission be y, then as per given, the earnings:

10000y + x = 135015000y + x = 1575

Subtract the first equation from the second:

15000y - 10000y = 1575 -13505000y = 225

then

10000y =2*5000y = 2*225 = 450

Using the first equation:

x = 1350 - 450 = 900

So the fixed salary is $900

solve -30+15y/2+2y=-11

Answers

Answer:

[tex]\large\boxed{y=\dfrac{8}{37}}[/tex]

Step-by-step explanation:

[tex]Domain:\ 2+2y\neq0\to y\neq-1\\\\\dfrac{-30+15y}{2+2y}=-11\\\\\dfrac{-30+15y}{2+2y}=\dfrac{-11}{1}\qquad\text{cross multiply}\\\\(-30+15y)(1)=(-11)(2+2y)\qquad\text{use the distributive property}\\\\-30+15y=(-11)(2)+(-11)(2y)\\\\-30+15y=-22-22y\qquad\text{add 30 to both sides}\\\\15y=8-22y\qquad\text{add}\ 22y\ \text{to both sides}\\\\37y=8\qquad\text{divide both sides by 37}\\\\y=\dfrac{8}{37}[/tex]

Please help, thanks.

Answers

Answer:

-109

Step-by-step explanation:

Arithmetic sequence formula:

an = a1  + d(n - 1) where d = -4 and a1 = 19

so

a(33) = 19 - 4(33-1)

a(33) = 19  - 4(32)

a(33) = 19 - 128

a(33) = -109

The missing term : -109

Answer:

-109

Step-by-step explanation:

As x changes from 1 to 2, 2 to 3, and 3 to 4, each change in x is 1. The  corresponding changes in y from 19 to 15, from 15 to 11, and from 11 to 7, are each a change of -4 in y. For each change of 1 in x, the corresponding change in y is -4. From 4 to 33 in x, the change is 33 - 4 = 29. The corresponding change in y is 29 * (-4) = -116.

7 + (-116) = -109

The museum has tours every 20
minutes and a video to watch
every 15 minutes. Both the video
and tour start at 10:00 a.m. What
is the next time they will both be
starting at the same time?

Answers

Final answer:

The next time a museum tour and video both start at the same time after 10:00 a.m. is at 11:00 a.m., as that is when their intervals (every 20 minutes for tours and every 15 minutes for videos) have their Least Common Multiple.

Explanation:

The question is about finding the next time a museum tour and a video both start at the same time after 10:00 a.m. The tours start every 20 minutes and the videos start every 15 minutes. To find the next common start time, we need to calculate the Least Common Multiple (LCM) of 20 and 15 which is the smallest number that both 20 and 15 can divide into without leaving a remainder.

Multiples of 20 are 20, 40, 60, 80, 100, ...

Multiples of 15 are 15, 30, 45, 60, 75, ...

The first common multiple of the two intervals is 60 minutes. Therefore, since both the tour and the video start at the same time (10:00 a.m.), the next time they will both start together will be 60 minutes later, which is at 11:00 a.m.

Simplify 7a + 2x + 5a - 6x

Answers

Answer:

12a - 4x

Step-by-step explanation:

1. 7a + 2x + 5a - 6x

2. 12a + 2 x - 6 x

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $1500.00

Formula

A=P(1+r/m)mt

Answers

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

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

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

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

[tex]1500= 1200(1+\frac{0.02}{4})^{4t}[/tex]

Dividing both sides by 1200 and solving 0.02/4 = 0.005

[tex]1.25= (1+0.005)^{4t}[/tex]

[tex]1.25= (1.005)^{4t}[/tex]

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

[tex]\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years[/tex]

what verbal expression best describes the algebraic expression 4x ÷ 6?

A. The sum of four and some number divided by six

B. The product of some number and six divided by four​

Answers

I think you forgot to put C and D but it is read out

The product of x and four divided by six

(x being some number)

i don't need it but brainliest it is appreciated

The length of the base of a rectangular prism is 8 inches. The width of the prism is 4 1 2 inches, and the height is 3 1 2 inches. What is the volume of the prism? A) 84 in3 B) 92 1 2 in3 C) 104 in3 D) 126 in3

Answers

ANSWER

D. [tex]126 {in}^{3} [/tex]

EXPLANATION

The formula for calculating the volume of a rectangular prism is

[tex]Volume =lbh[/tex]

The given rectangular prism has

length,

[tex]l = 8 \: in[/tex]

The width is

[tex]w = 4 \frac{1}{2} in[/tex]

and the height is

[tex]h = 3\frac{1}{2} in[/tex]

We substitute the values into the formula to obtain;

[tex]Volume =8 \times 4 \frac{1}{2} \times 3 \frac{1}{2} [/tex]

[tex]Volume =8 \times 4.5 \times 3.5[/tex]

[tex]Volume =126 {in}^{3} [/tex]

Answer:

The correct answer is option D.  126 in³

Step-by-step explanation:

Formula:-

Volume of cuboid - lbh

l - Length of cuboid

b - Breadth of cuboid

h - Height of cuboid

To find the volume of prism

Here rectangular prism is like a cuboid.

l = 8 in, b = 4 1/2 = 9/2 and h = 3 1/2 = 7/2

Volume = lbh

     = 8 * 9/2 * 7/2 = 126 in³

Therefore the correct answer is option D.  126 in³

(2b/3)^4 simplify the expression

Answers

Answer:

[tex]\large\boxed{\left(\dfrac{2b}{3}\right)^4=\dfrac{16b^4}{81}}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{2b}{3}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{2^4b^4}{3^4}=\dfrac{16b^4}{81}[/tex]

Answer:

16b^4/81

Step-by-step explanation:

what is the solution to the system of equations ? y=5x+2 3x=-y+10

Answers

Answer:

Solution is (1,7).

Step-by-step explanation:

We need to find the solution of the system of following equations.

y= 5x + 2        eq(1)

3x = -y +10      eq(2)

We will solve the equations using Substitution method to find the values of x and y

we put value of y from eq (1) into eq (2), The eq(2) will be:

3x = - (5x + 2) + 10

3x = -5x -2 +10

3x+5x = -2+10

8x = 8

x= 1

Now, putting value of z in eq(1) to find value of y

y = 5x +2

y = 5(1) + 2

y = 5+2

y = 7

So, Solution is (1,7).

A line that includes the point (1,10) and has a slope of 7. What is it’s equation in slope intercept form

Answers

y = 7x +3 slope is rise over run with would be 7/1 and y intercept is 3

The equation in the slope-intercept form is y=7x+3.

What is the equation in slope-intercept form of point (1,10) and has a slope of 7?

Given:

A line that includes the point (1,10) and has a slope of 7.

Find:

The equation in slope-intercept form.

Solution:

We will use y = mx+b where m = slope and b = y-intercept.

y = mx+b

Now, putting (1,10) in the place of x and y and slope as 7, we get;

10 = 7*1 + b

b = 10-7

b=3

So, the y-intercept is 3.

Now, putting the y-intercept in the slope-intercept equation, we get;

y = 7x+3

Hence, the equation in slope-intercept form is y=7x+3.

To learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ2

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