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baherus [9]
3 years ago
12

A population of rabbits triples every month the populations truck with two rabbits how many rabbits are they there after three m

onths
Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0
2×3=6
6×3=18
18×3=54

54 rabbits after three months
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Austin is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Sup
KATRIN_1 [288]
First you need to find the area, the formula is A=LxW, multiply 14 by 11, that’s the area. If one back covers 22 ft we need to find how many 22s are in 154, to do that you divide. Make sense?

4 0
2 years ago
The number of freshmen entering college in a certain year is 621. What type of data is 621?
horrorfan [7]

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

The number of freshmen entering college in a certain year = 621

It is considered as discrete data.

Since we know the definition of Discrete which refers to all types of data which take only numerical values.

It is based on counts.

According to question, we have given the exact number of freshmen instead of any range or interval.

Hence, Third option is correct.

3 0
3 years ago
Justin spends $15 at the grocery store. He buys a loaf of bread for $3 and buys 112 pounds of cheese. What is the price per poun
mezya [45]

Answer:

$0.11 per pound

Step-by-step explanation:

15 - 3 = 12

12/112 = 0.10714286

= about 0.11

4 0
2 years ago
Need help with AP CAL
anzhelika [568]

Answer: Choice C

\displaystyle \frac{1}{2}\left(1 - \frac{1}{e^2}\right)

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

Explanation:

The graph is shown below. The base of the 3D solid is the blue region. It spans from x = 0 to x = 1. It's also above the x axis, and below the curve y = e^{-x}

Think of the blue region as the floor of this weirdly shaped 3D room.

We're told that the cross sections are perpendicular to the x axis and each cross section is a square. The side length of each square is e^{-x} where 0 < x < 1

Let's compute the area of each general cross section.

\text{area} = (\text{side})^2\\\\\text{area} = (e^{-x})^2\\\\\text{area} = e^{-2x}\\\\

We'll be integrating infinitely many of these infinitely thin square slabs to find the volume of the 3D shape. Think of it like stacking concrete blocks together, except the blocks are side by side (instead of on top of each other). Or you can think of it like a row of square books of varying sizes. The books are very very thin.

This is what we want to compute

\displaystyle \int_{0}^{1}e^{-2x}dx\\\\

Apply a u-substitution

u = -2x

du/dx = -2

du = -2dx

dx = du/(-2)

dx = -0.5du

Also, don't forget to change the limits of integration

  • If x = 0, then u = -2x = -2(0) = 0
  • If x = 1, then u = -2x = -2(1) = -2

This means,

\displaystyle \int_{0}^{1}e^{-2x}dx = \int_{0}^{-2}e^{u}(-0.5du) = 0.5\int_{-2}^{0}e^{u}du\\\\\\

I used the rule that \displaystyle \int_{a}^{b}f(x)dx = -\int_{b}^{a}f(x)dx which says swapping the limits of integration will have us swap the sign out front.

--------

Furthermore,

\displaystyle 0.5\int_{-2}^{0}e^{u}du = \frac{1}{2}\left[e^u+C\right]_{-2}^{0}\\\\\\= \frac{1}{2}\left[(e^0+C)-(e^{-2}+C)\right]\\\\\\= \frac{1}{2}\left[1 - \frac{1}{e^2}\right]

In short,

\displaystyle \int_{0}^{1}e^{-2x}dx = \frac{1}{2}\left[1 - \frac{1}{e^2}\right]

This points us to choice C as the final answer.

5 0
1 year ago
Pls help me I am stuck
Aleonysh [2.5K]
I think the answer is Sample 4. 

Hope this helps!
4 0
3 years ago
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