Identify name and degree of each polynomial, please. (4x³+5x²-x)+3x²+2x²) Thank you

A jewelry box is b2 inches long, 3c2 inches wide, and 2c1 inches tall. Which of the following are correct? Select ALL that apply

Mariulka [41]

9514 1404 393

Answer:

B, F

Step-by-step explanation:

The volume is the product of the dimensions:

V = LWH

V = (b^2)(3c^2)(2c^1) = (3·2)(b^2)(c^(2+1))

V = 6b^2·c^3 . . . . . matches B

__

For b=3 and c=2, the volume is ...

V = 6(3^2)(2^3) = 6(9)(8)

V = 432 . . . . cubic inches . . . . matches F

6 0

3 years ago

1.Assume that 20 squirrels are put in an enclosed wildlife ranch and the squirrel population grows for the next 5 years, as show

stiv31 [10]

Answer:

For the first group we have the pairs:

year population

0 20

1 80

2 320

3 1,280

4 5,120

5 20,480

Here we can see that the population quadruples each year

(4*20 = 80, 80*4 = 320, 320*4 = 1,280, etc...)

then the population equation is:

P(0) = 20

P(1) = 20*4

P(2) = (20*4)*4 = 20*4^2

We already can see the pattern, then we can write this relationship as:

P(t) = A*(4)^(t)

Where:

t represents time in years, and A is the initial population, that we know it is 20, then:

P(t) = 20*(4)^t

This is the function that represents the table.

B) Now we have a group of 20 squirrels and the population triples each year, with the same reasoning than before we can write the equation that models this situation as:

Q(t) = 20*(3)^t

C) Now, if the initial population of the second group is 40, the equation becomes:

Q(t) = 40*(3)^t

The population by year 3 is given by replacing t by 3, then:

Q(3) = 40*(3)^3 = 1080

And the population of the other group in year 3 is seen in the table, it is 1,280, then the population of the first group is bigger by year 3, and it is greater by:

1,280 - 1,080 = 200

So the first group is larger by 200 squirrels.

3 0

3 years ago

The population in the trapezoid-shaped region shown is about 3000 people. How many people are there per square mile?

Anastasy [175]

Answer: $\frac{3,000}{A}$

Step-by-step explanation:

<h3> Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>

For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

$A=\frac{h(B+b) }{2}$

Where "B" and "b" are the bases of the trapezoid and "h" is the height.

So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.

Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.

Then, the following expression represents the number of people per square mile in that region:

$\frac{3,000}{A}$

7 0

3 years ago

Read 2 more answers

Solve for y. PLEASE HELP ME THANK YOU

melomori [17]

It's an equilateral triangle. The angles have measure 60°.

Therefore we have the equations:

6x + 6 = 60 subtract 6 from both sides

6x = 54 divide both sides by 6

x = 9

5y + 10 = 60 subtract 10 from both sides

5y = 50 divide both sides by 5

y = 10

7 0

3 years ago

Read 2 more answers

Cylinder 1 is congruent to cylinder 2. The dimensions of the cylinders are given inunits.Cylinder 1Cylinder 238What is the volum

lora16 [44]

Since the two cylinders are congruent, it means that their dimensions are exactly the same thing.

In other words, the radius of cylinder 1 is the same as that of cylinder 2, and the height of cylinder 2 is the same as that of cylinder 1. This is what it means for two solid shapes to be congruent.

Now, to find the volume of cylinder 2, we apply the frmula for the volume of a tyical cylnder:

$\text{Volume}=\pi\times r^2\times h$

Now,

radius of cylinder 2 = radius of cylinder 1 = 3

height of cylinder 2 = 8

Thus: r = 3, h= 8

Therefore:

$\begin{gathered} \text{Volume}=\pi\times r^2\times h \\ \text{Volume}=\pi\times3^2\times8 \\ \text{Volume}=\pi\times9^{}\times8 \\ \text{Volume}=\pi\times72 \\ \text{Volume}=72\pi\text{ cubic units} \end{gathered}$

Therefore the volume of cylinder 2 is 72pi cubic units (Option D)

6 0

1 year ago