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Nastasia [14]
3 years ago
15

How many bags of fertilizer are needed to fertilize a yard measuring 60 feet by 80 feet if one bag will cover 100 square feet

Mathematics
1 answer:
notka56 [123]3 years ago
3 0
The yard is 60ft * 80ft = 4800ft2.

One bag covers 100ft2.

4800ft2/100ft2/bag = 48 bags
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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
3 years ago
Can someone help me with this, im not really good at math and i dont understand this :(​
cluponka [151]

Answer:

y = 2x + 4

Step-by-step explanation:

First find 2 points on the line to determine slope.

(0, 4) and (2, 8)

Slope = \frac{8-4}{2-0}=2

y = 2x + b

b = y - intercept

b = 4

y = 2x + 4

4 0
3 years ago
Read 2 more answers
What is the area of the triangle?
Fed [463]

Answer:

45

Step-by-step explanation:

9x10/2=45

5 0
2 years ago
How many people can be served from one cup of oatmeal? How many cups will it take to serve 27 people?
ASHA 777 [7]

Answer:

B. 3 people;9 cups

Step-by-step explanation:

6 0
2 years ago
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The sum of two consecutive ODD integers is -76. Find the integers.​
alexandr1967 [171]

Answer:

First number: -39

Second number: -37

Step-by-step explanation:

An odd number can be written as 2n+1 where n is a whole number.

Let's call our first number 2n+1.

Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.

First number: 2n+1

Second number: 2n+1+2 = 2n+3

The sum of these two numbers, 2n+1 and 2n+3 will be -76.

(2n+1) + (2n+3) = -76

2n + 2n + 1 + 3 = -76

4n + 4 = -76

4n = -80

n = -20

Since our first number is 2n+1:

2 * (-20) + 1 = -40 + 1 = -39

First number: -39

Our second number is 2n+3, or 2 more than our first number.

-39 + 2 = -37

Second number: -37

We can double check this:

-39 + (-37) = -39 - 37 = -76

7 0
3 years ago
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