What is the standard form polynomial representing the volume of this shipping container?

What Is The Standard Form Polynomial Representing The Volume Of This Shipping Container?

Answers

Answer 1

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

             = [(4x² + 3x)(x²- 8)](6x + 15)

             = [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

             = (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

             = (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

             = 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

             = 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

             = 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

Answer 2

Answer:

V = 24x⁵+78x⁴-147x³-624x²-360x

Step-by-step explanation:


Related Questions

What’s the least common factor of two and six

Answers

Answer:

6

Step-by-step explanation:

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Answer: 6

Explanation: least common multiple

I hope this helped!

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- Zack Slocum

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Please help me !!!!!!!!!!!!!!!!!!!

Answers

Answer:

5) arccos A = 28°

6) arcsin A = 53°

Step-by-step explanation:

5) cos A = 30/34

6) sin A = 32/40

5)

For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).

In this case,

cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17

6)

For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.

In this case,

sin(A) = opposite / hypotenuse = 32 / 40 = 4/5

A way to remember sine, cosine, and tangent is SOHCAHTOA, where

SOH is Sine = Opposite / Hypotenuse

CAH is Cosine = Adjacent / Hypotenuse

TOA is Tangent = Opposite / Adjacent

The students at Fitzgerald High School are building the shape below to put on their school. What is t total area of the shape in square units? 4 units 1 unit 10 units 1 unit 3 units 1 unit​

Answers

Answer:

Someone would need to see the units and the picture that would be attached to this question.

Step-by-step explanation:

Find the approximate length of the bolded arc.

Answers

Answer:

Step-by-step explanation:

Please help meeeeeeeee

Answers

Answer:

Step-by-step explanation:

The factorisation of y2-7y+12 is

+100points and brainliest

Answers

(y-4) (y-3)
you look at 12 and see what two factors of 12 add up to -7 and -4 times -3 is 12 and -4+-3 = -7
Ans= (y-3)(y-4).

Consider the form
x
2
+
b
x
+
c
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
c
and whose sum is
b
b
. In this case, whose product is
12
12
and whose sum is

7
-
7
.

4
,

3

y=(x+1)^2+2

plot five points​

Answers

Answer:

(−3,6)

(−2,3)

(−1.2)

(0,3)

(1,6)

Step-by-step explanation:

please help im stuck on this​

Answers

-7 is the slope I think

Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest.
A) Find the original principal.
B) Using the the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000.

Answers

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. How would you calculate the p-value for this test

Answers

Answer it is 456y5445t6y5432

Step-by-step explanation:

ww

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answers

Answer:

7/20

Step-by-step explanation:

You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.

What is the slope of y = 4 - 2x?

Answers

Answer:

The slope is -2

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m

 is the slope and b is the y-intercept.

[tex]y = mx + b[/tex]

Reorder 4 and -2x.

[tex]y = - 2x + 4[/tex]

Using the slope-intercept form, the slope is −2.

[tex]m = - 2[/tex]

Hence, the slope is -2.

The equation y = 4- 2x has a slope of -2.

The pitch of a direct equation is the measure of the term containing the independent variable( in this case," x").

In the equation y = 4- 2x, the measure of "x" is-2. thus, the pitch of the equation is-2.

We know equation is in slope-intercept form (y = mx + b), where "m" represents the slope.

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

In this case, for every unit increase in x, the value of y diminishments by 2 units. This indicates a downcast pitch.

In summary, the equation y = 4- 2x has a slope of -2.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

if k is the center of the circle which line segment is the radius

Answers

Half of whatever k is

Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters

Answers

Answer:

i

Step-by-step explanation:

dont know

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Answers

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?

Answers

Firstly, solve 38C15.

Then solve 42C12.

Compare your answers.

The goal here is to see if 38C15 = 42C12.

Here is the formula:

nCr = n!/(r!(n - r)!

Go for it.

please help me , i’m so stuck on this problem

Answers

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

Help with these questions

Answers

it is the answer of matrix AB

Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?

Answers

Answer: 33.33%

This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150

what is the equation of the following direct variation y=2x, y=1/2x, y=-1/2x, y=-2x

Answers

Answer:

The answer would be y=-2x

Answer:

Equation y =2x represent the direct variation .

Step-by-step explanation:

Given : Equations  y = 2x  , y = x + 4  , y = 1/2x  , y = 3/x .

To find  : Which equation represents a direct variation.

Solution : We have given that equations

Direct variation : The statement "y varies directly as x," mean  y and x always have the same ratio: k = .

Where k is constant of variation ,

We can write it as  y = kx  .

We can see that  in equation y = 2x  is the same as the above equation

On comparing k = 2.

Therefore, Equation y =2x represent the direct variation .

Hope it helps pls give me brainliest if it is. Thanks xx Happy Easter!

what property is this 4(2x−3)=4(2x)−4(3)

Answers

Answer:

this is 4(2x−3)=4(2x)−4(3)distributive property

Answer:

The Distributive Property

Step-by-step explanation:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.

====================================================================

Hope I Helped, Have A Great Day!

                    -Aadi

Emily surveyed 364 people with 3 out of 7 answered yes

Answers

whats is the question?

The length of a rectangle is twice its width.
If the perimeter of the rectangle is 60 m, find its length and width.

Answers

Answer:

120 m

Step-by-step explanation:

.

Answer:

length = 20m

width = 10m

Step-by-step explanation:

perimeter = 2 (length + width)

length = 2 * width = 2w

perimeter = 2 (2w +w)

perimeter = 2(3w)

60m = 6w

(divide both sides by 6)

60/6 = w

width = 10m

length = 2w

so length = 2 * 10 = 20m

A family spends 20% of its income on mortgage repayments of RM 800 per month, Calculate the monthly income of the family.​

Answers

Answer:

monthly income of 4,000

Step-by-step explanation:

monthly income=m

.20m=800

m=4,000

Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take

Answers

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]

[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]

Suppose that 0 is an angle in standard position whose terminal side effects intersects the unit circle at (-15/17, 8/17)Find The exalta valeis Tan sec and cos

Answers

Step-by-step explanation:

cosθ = 15/17 and sinθ = -8/17

So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8

(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2

Answers

Answer:

191.0

Step-by-step explanation:

PLEASE HELP ASAP DONT USE A LINK THOSE NEVER WORK I HAVE A TIME LIMIT​

Answers

Answer:

107 degrees

Step-by-step explanation:

First, subract 180 from 135 to get the angle for DFE, which is 45 degrees.

Then, add 45 to 28, which equals to 73 degrees.

Finally, subtract 180 from 73 to get the angle for DEF, which is 107 degrees.

Answer:

107

Step-by-step explanation:

Let O be a quadrant I angle with cos(0) ✓11/7 Find sin(20).​

Answers

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

what is the answer to 1200 x 4500 = ?

Answers

Answer : 5,400,000

Explanation :

Answer:

5400000

Step-by-step explanation:

To make it easier.

12 x 45, then add your four zeros on your answer!

Hope this helps!

Yours Truely, TheAnimeCatUwU

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