Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.

Answers

Answer 1

Answer:

Box 1's  volume will be a monomial

Box 2's volume will be a binomial

Explain your reasoning:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial.  Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Step-by-step explanation:

Feel free to copy and paste! Hope this helps! Have a great day!

BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!!  <3

Answer 2

The volume of a box is the amount of space it can occupy.

Box 1's volume will be a monomialBox 2's volume will be a binomial

The given parameters are:

Dimensions of box 1: x by 3x by x^3

Dimensions of box 2: x by 4x - 1 by x^3

The volume of the box is calculated by multiplying the dimensions.

So, we have:

Box 1

[tex]V_1 = x \times 3x \times x^3[/tex]

[tex]V_1 = 3x^5[/tex]

Box 2

[tex]V_2 = x \times (4x - 1) \times x^3[/tex]

[tex]V_2 = (4x - 1) \times x^4[/tex]

Open brackets

[tex]V_2 = 4x^5 - x^4[/tex]

After calculating the volumes, we have:

[tex]V_1 = 3x^5[/tex] ---- box 1

[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2

Hence,

The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 terms

Read more about volumes at:

https://brainly.com/question/15861918


Related Questions

How many dimes are in $25.00

Answers

Answer:

250 dimes

Step-by-step explanation:

Answer: 250 dimes

Explanation: dime = 10 cents, and 100 cents = one dollar. Therefore, 10 cents (a dime) times 10 = a dollar, which is 100 cents. 100 times 25 dollars = 250. So, 250 dimes are in $25.

Hope this helps, please mark as brainliest!

Plz help i hate math obvious​

Answers

Answer:

2) 14 times  3) 210 times

Step-by-step explanation:

2) every second, a monarch butterfly will beat its wings 14 times

3) lets use the following formula

An=A1 +(n-1)d

A15= 14 + (15-1)14

A15= 14+14*14

A15= 14+196

A15= 210

210 times in 15 seconds

Draw rectangles such as the ones shown to find fraction equivalent to 2/5 and 1/3 that have the same denominator

Answers

Answer:

2/5: 1/3:

6/15 5/15

Step-by-step explanation:

Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!

Which algebraic expression represents this phrase? The product of 34 and the number of pounds

Answers

Answer:

D. 34 * p

Multiply them dude...

Answer:

D. 34 · p

Step-by-step explanation:

Product means multiplication, so the product of 34 and p is 34×p or 34·p

Hope this helps,

plx give brainliest

The net of a solid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 4 inches. The base of the triangle is the side of the square. What is the surface area of the solid? WILL GET BRANLIEST! <3

Answers

Answer:

33 sq in

Step-by-step explanation:

Area of each triangular face is 1/2×3×4 = 6sq in

Hence total area of four(4) faces is 6×4 = 24sq in

Area of base is 3×3 = 9sq in

Hence Total area of pyramid is 24+9 = 33sq in

How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.

Answers

Answer:

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Answer:

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.

This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

Given:

The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].

Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].

By the parent function we have to obtain given function ,So,we have to add on both  sides 2,

f(x)+2 = [tex]\sqrt{x+2}[/tex]

Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.

Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

For further details, please refer this link:

https://brainly.com/question/12427224

1. What is the solution to the compound inequality 85 < 17m <136?

a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8​

Answers

Answer:

The answer is b.

Step-by-step explanation:

First separate it into two inequalities.

85<17m and 17m<136

For the first one,

Divide both sides by 17.

5<m

For the second one,

Divide both sides by 17.

m<8.

Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.

Hope this helped.

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

The solution to the compound inequality [tex]85 < 17m < 136[/tex].

Now,divide both sides by [tex]17[/tex].

[tex]\frac{85}{17} < \frac{17m}{17} < \frac{136}{17}\\\\5 < m < 8[/tex]

Hence, [tex]5 < m[/tex] and [tex]m < 8[/tex] is the correct option i.e., (B)

To know more about the inequality

https://brainly.com/question/12679763

#SPJ2

what is -7/8- (-5/6) in simplest form

Answers

Answer:

-1 /24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?

(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)

Answers

Answer:

Option C.

Step-by-step explanation:

The given table is

x   f(x)

-4    0

-2    2

0    8

2    2

4    0

6   -2

A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.

From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).

Therefore, the correct option is C.

Answer:

it is c (-4,0), (4,0)

Step-by-step explanation:

I will give brainiest answer

Answers

Answer:

≈ 64.43 cm²

Step-by-step explanation:

Subtract the area of the circle from the area of the rectangle.

area of rectangle = 7 × 11 = 77 cm²

area of circle = πr² = π × 2² = 4π cm²

Thus

area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )

Answer:

The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.

Step-by-step explanation:

Please help. 10 points. Identify the common difference OR common ratio, depending on whether the sequence below is arithmetic or geometric. Then use the appropriate formula to write a rule for the sequence. Finally, use the rule to find the tenth term in the sequence.


–15, –9, –3, 3, 9, ...

Answers

Answer:

hope this helps! please mark brainliest

Step-by-step explanation:

The COMMON DIFFERENCE is 6

so it's a arithmetic sequence.

The formula is an = a1 + (n-1)d

to find the 10th term: a10 = -15 + (10-1)6

the 10th term is 39

*a1 = the 1 is supposed to go underneath it but can't type it on computer

*an = the n is supposed to go underneath it also

lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?

Answers

Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

Answer:

She earned a seventy percent.

Step-by-step explanation:

You set the problem up like  21/30 = x/100.

Then, you cross multiply and you get 30x=2100.

From there, you divide each side by thirty and then you get x = 70.

And that brings you to 70 percent. Hope this helps!

Please help I need it done it is my last homework thank you...

Answers

Answer:

98%

Step-by-step explanation:

Percent means out of 100

49/50

Multiply the top and bottom by 2

49*2 = 98

------------

50*2 = 100

98/100

The percent is 98%

_________________________________

Hey!!

Solution,

49/50*100%

=98%

So the right answer is 98%

hope it helps..

Good luck on your assignment

_____________________________

A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8

Answers

Answer:

equation of a line= y-y¹=m(x-x¹)

y--1.8=7(x-0)

y+1.8=7x-0

y+1.8=7x

y=7x+1.8

How much time is needed for a boy on roller skates to slow down from 17.4
m/s to 9.11 m/s if he covers 45.0 m?

Answers

Answer:

Step-by-step explanation:

v²-u²=2as

9.11²-17.4²=2a×45

a=-(17.4²-9.11²)/90=-(302.76-82.9921)/90=-219.7679/90 m/s²

v=u+at

9.11=17.4-219.7679/90 t

9.11-17.4=-219.7679/90t

-8.29×90=-219.7679t

t=-746.1/-219.7679≈3.395 s

pls help help me need help!!

Answers

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?

The range of the function f(x) = 3x3 when its domain is {2, 5} is

Answers

Answer:

[tex]Range = [24, 375][/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3[/tex]

[tex]Domain = [2,5][/tex]

Required

Find the Range

The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5

When x = 2;

f(2) is as follows;

[tex]f(2) = 3*2^3[/tex]

[tex]f(2) = 3 * 8[/tex]

[tex]f(2) = 24[/tex]

When x = 5;

f(5) is as follows;

[tex]f(5) = 3*5^3[/tex]

[tex]f(5) = 3 * 125[/tex]

[tex]f(5) = 375[/tex]

Hence, the range of the function is [24, 375]

is a CR grade good or bad? ​

Answers

Really good if u don’t have strict parents

I need help ty i only need the answer

Answers

Answer:

50°

Step-by-step explanation:

90° add 40° makes 130°. 180° minus 130° makes 50°

Answer:

50

Step-by-step explanation:

90+50+40= 180 which is the total of  a right triangle

Which set of angles could NOT form a triangle? A. three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles

Answers

Answer:

C. One right angle, one acute angle, one obtuse angle  

Step-by-step explanation:

A triangle is a closed geometrical figure. It is an enclosed figure with three sides and three angles. The sum of the angles of a triangle is 180°. A triangle can be formed with three acute angles. A triangle can be formed with one right angle and the other two being acute angles. A triangle can be formed with one obtuse angle and the other two being acute angles. A triangle cannot be formed with one right angle, one acute angle, one obtuse angle.

If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5

Answers

Answer:

The last option is correct. (f*g)(x) = x² - 5

Step-by-step explanation:

Since is f * g you have to multiply them together.

x² - 2 * x - 3 (x)

Next ust simplify.

x² -5x

Attention!

I have tons of math questions waited to be answer on my page check them out and get points!

Answers

Answer:

ok

Step-by-step explanation:

ok

Answer:

I will try but how many are there?

Step-by-step explanation:

Express the ratio of A's to N's in the word BANANA, in simplest form.


A. 2:3

B. 3:2

C. 1:2

D. 2:1

Is it B.?

Answers

Answer:

There are 3 A's and 2 N's so the answer is B.

Are (3x + 1)(x + 2) and 3x2 + 7x + 2 equivalent?​

Answers

Answer:

Yes.

Step-by-step explanation:

(3x + 1)(x + 2)

= 3x^2 + 6x + x + 2

= 3x^2 + 7x + 2.

What is the area of the figure shown in the picture?

Answers

Answer:

69.82in^2

Step-by-step explanation:

Rectangle

[tex]A=lw\\=5*12\\=60in^2[/tex]

Semicircle

[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]

Add altogether

60+9.82

=[tex]69.82in^2[/tex]

Simplify:

(3x3+5x2−9x−2)−(2x3+3x2−x−3)?

A. x3+8x2−8x+1
B. x3+8x2−10x−5
C. x3+2x2−8x+1
D. x3+2x2−10x+1

Answers

Step-by-step explanation:

Answer is;−

9

x

2

2

x

3

3

x

2

+

x

+

3

Simplify by adding terms.

Tap for more steps...

x

3

+

2

x

2

8

x

+

1

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 4 hours a day.

Answers

Answer:

it would take 8 days

Step-by-step explanation:

all all you have to do is divide 33.45 divided by 4

Answer:

4hrs =33hrs and 45/60

1 day= about 8 days and 1/2

Step-by-step explanation:

How does the value represented by the digit 4 in R compare to the value represented by the digit 4 in T?

R = 4,569
T = 3,490

Answers

Answer:

The digit 4 in R has a value of 4,000; the digit 4 in T has a value of 400.

Step-by-step explanation:

In R, there are 4 place values. Going from right to left, we have ones, tens, hundreds and thousands. The 4 is in the thousands place, so its value is 4,000. In T, there are also 4 place values, but the 4 is in the hundreds place, so its value is 400.

[Please help]~granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation 4c + 5 = 27 represents the relationship between these quantities. What could the 5 represent in this situation?

Answers

Answer: calories from other ingredients

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

4c + 5 = 27

27 = calories contained in a granola bite

Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.

So:

c = grams carbohydrates

4 = calories contained in 1 gram of carbohydrate

Since the sum of the product of the calories contained in 1 gram of carbohydrate (4) and the number of carbohydrates(c ); plus the calories from other ingredients is equal to the calories contained in a granola byte (27);

5 represents the calories from other ingredients

Feel free to ask for more if needed or if you did not understand something.  

the diameter of a circle is 9m. Find the circumference to the nearest tenth (urgent)

Answers

Answer:

Step-by-step explanation:

The answer is 28.27433, or 28.3!

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