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valkas [14]
3 years ago
14

3. Find the difference between the two expressions. 1x - 5y)-1(x + 2y)

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

-7y

Step-by-step explanation:

Our equation is:

\left(1x-5y\right)-1\left(x+2y\right)

First we dritribute

Now we have, x-5y-x-2y

Combine light terms

and we get -7y

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Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If th
RideAnS [48]

Answer:

C. 31.83 feet.

Step-by-step explanation:

We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.

First of all, we will find the surface area of dog pen using surface area of cylinder.

\text{Surface area of cylinder}=2\pi rh,where,

r = Radius of cylinder,

h = Height of cylinder.

\text{Surface area of cylinder}=2\pi r*5

\text{Surface area of cylinder}=10\pi r

Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.

Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

1000=10\pi r

Upon dividing both sides of our equation by 10 pi we will get,

\frac{1000}{10\pi}=\frac{10\pi r}{10\pi}

31.8309886=r

r\approx 31.83

Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.

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3 years ago
There were about 1.22 million Hispanic-owned businesses in 2012 and 1.73 million in 2017.
fredd [130]

Answer:

  f(t) = 1.22·(173/122)^(t/5)

Step-by-step explanation:

(a) An exponential growth (or decay) function can be written using the form ...

  f(t) = (initial value)·(ratio in period)^(t/period)

Here, we're given an initial value of 1.22, a growth ratio of 1.73/1.22 in a period of 5 years, so we can write the function as ...

  f(t) = 1.22·(173/122)^(t/5)

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(b) In 2038-2012 = 26 years, the value of the function is ...

  f(26) = 1.22·(173/122)^(26/5) ≈ 7.50 . . . . million

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<span>The inner core is made of solid iron, and it is surrounded by the liquid iron of the outer core. It is solid because the extreme pressure at the center of the earth prevents it from melting, despite the unimaginable temperatures.</span>
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See the attached picture for the answers:

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The population density of Smallville (15 square miles) was 18.5 people per square mile. A decade later populations increased to
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(26.8-18.5)•15=amount of people added
8.3•15=amount of people added.
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