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Answer:A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is: f(x)=4x3- 72 x2+320x

The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)

The second step is to factor the quadratic trinomial.

That is made by writing it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is: f(x)=(4x)(x-10)(x-8)

Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

x is the desired (unknown) length

4x is 4 times the desired length

x - 10 is 10 less than the desired length

x - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

Volume = (4x)(x-10)(x-8)

Answer:

A (3, 4)  B (4, 2)  C (0.5, 0.25)  D (1, 2.5)  E (1.75, 4.25)

Step-by-step explanation:

The coordinate points of a point are (x, y) where x is the number on the x-axis and y is the number on the y-axis.

By looking at points A and B they're easy to tell.

For points C, D, and E they're in between whole numbers so by converting the number given which is a fraction you can get 0.25 from 1/4 which is half of 1/2, 0.5 from 1/2, 0.75 from 3/4 which is half of 1/2 plus 1/2, 1.25 from 1 1/4, etc....

Answer:

The rock will be be 5  meters from ground level at time = 3.713 seconds

Step-by-step explanation:

As we know-

[tex]s(t) = -4.9 * t^2 + v_0t + s_0[/tex]

V0 = velocity

S0 = height above ground when thrown

Substituting the given values, we get -  

[tex]9 = -4.9* t^2 + 12 * t +32\\-4.9*t^2 +12*t + 23 = 0[/tex]

As per the formula

[tex]t = \frac{-12+ \sqrt{12^2 -4*(-4.9)*23} }{(2*(-4.9)} \\t = 3.713[/tex]

The rock will be be 5  meters from ground level at time = 3.713 seconds

Answer:

20 cm

Step-by-step explanation:

have a nice day!! :)

Answer:

Su area es 20  

Step-by-step explanation:

bxa/2=10x4/2=20

De nada

Answer:

x = 20 degrees

Step-by-step explanation:

We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.

Answer:

i think its c

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

In the given scenario, the Chi-square test is independent, which could be used because they would know whether it has any association among the several types of children like an old or new pizza. It does not associate discrete or factors that motivate with continuous data. In addition, only correlations among categorical data are evaluated inside the Chi-Square Independence Test, but causative inferential statistics cannot be given.

The type of chi square test that is appropriate for the following situation is Chi square test of independence.

Within the same population, the Chi-square test for independence looks for an association between two categorical variables.

The school would like to know if there is a relationship between grade level and pizza opinion.

Two variables' relationship is to be known.

That is why, we will use chi square test of independence.

Learn more about chi square test of independence:

https://brainly.com/question/16956499

Answer:

The greatest common factor of 5ab^2 and 15ab^3 is 5ab^2

The greatest common factor between the two expressions will be 5ab²

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Here the two numbers are:-

5ab² and 15ab³ or 5ab² and 5ab² x b

So we can see that the highest common factor between the two numbers will be  5ab².

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

Answer:

number of people / land area = population density

57,714 / 836,109 ≈ 0.07 people/[tex]mi^2[/tex]

Answer:

.07 people per square mile

Step-by-step explanation:

We can just divide the people by area

57714/836109=.06902688525 or about .07 people per square mile

I think you got confused about the division and what to divide by what

Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile

If we did it the opposite way we get THE AREA that EACH PERSON HAS

Answer:

t

Step-by-step explanation:

A circle can be circumscribed about the given quadrilateral, the answer is: A. True.

We know that,

To circumscribe a circle about a quadrilateral means to place the quadrilateral inside the circle, such that the four vertices of the quadrilateral touches the circumference of the circle.

Opposite angles of a circumscribed polygon are supplementary.

Therefore, a circle can be circumscribed about the given quadrilateral, the answer is: A. True.

Learn more about circumscribed polygon on:

brainly.com/question/1423054

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- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.

"Branliest will be appreciated"

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

s³ = 8, s = 2, s² = 4.

s³ = 343, s = 7, s² = 49.

These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

(4 / 49) × 196ft² = 16ft²

Step-by-step explanation:

A and 3

B and 1

C and 4

D and 2

I hope this helps :)

Answer:

13 cm.

Step-by-step explanation:

Add all the sides to get the perimeter

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

mmm  answer is 139.5 (C)

7x4.5=31.5

12x9=108

108+31.5=139.5

Answer:

A=139.5cm^2

Step-by-step explanation:

12x9=108---->Area of the rectangle A=l x w

9x7=63 divided by 2=31.5--->Area of the triangle  A=1/2 (b x h)

108+31.5=139.5cm^2

Hope this helps and can you give me brainliest pls?

Answer:

no I have no answer

Step-by-step explanation:

noooooooooooooo

answer: 8.75ft

Step:

7/12*15

=8.75

Answer:

the value of a would be one, i think

Answer:

3.875

Step-by-step explanation:

Answer: $48.00

Step-by-step explanation:

Jack bought 12 calculators for $60

he sold six for 52 and the other six for 56

52+56=108

108-60=48

Answer:

7.8

Step-by-step explanation:

Identify sin cos or tan

In this case you would use tangent/tan

tan(∅) = opposite/adjacent

∅ (theta) = angle

plug in what you know to the tangent equation

tan(52) = 10/x

multiply both sides by x

x tan(52) = 10

divide by tan(52) on both sides

x = 10/tan(52)

enter 10/tan(52) in calculator

get 7.81285626...

nearest tenth = 7.8 units

Answer:

Part 1: 375 Fuel Capacity

Part 2: 450 Fuel Capacity

Step-by-step explanation:

Find the percentage of each number with a calculator

375 fuel capacity does it have.

When decide to change the max to 600 new fuel capacity of the ship is 450.

Given that,

The max Fuel capacity a spaceship should have is 500.

The required 375 fuel capacity does it have.

When decide to change the max to 600 new fuel capacity of the ship is 450 determine,

How much fuel capacity does it have? If, in the above example, we decide to change the max to 600, what is the new fuel capacity of the ship.

According to the question,

The max Fuel capacity a spaceship should have is 500.

The ship you are designing is rated at 75% of range.

Full capacity is equals to max fuel capacity multiply by ship designing rate of range.

Therefore,

Fuel capacity = 500 × 0.75 = 375

And If the change in max fuel capacity to 600,

New fuel capacity is equals to new max fuel capacity multiply by ship designing rate of range.

Then.

New fuel capacity = 600 × 0.75 = 450

Hence, The required 375 fuel capacity does it have.

When decide to change the max to 600 new fuel capacity of the ship is 450.

To know more about Probability click the link given below.

https://brainly.com/question/12431044

36600 level of water and that is the answer

Thank YOU!!! I was wondering what those links are for but I'm not taking a chance with that

Answer:

Yeah i was really stuck on a problem then 2 users answered and gave links.

Like bro i said no links!!!! :/