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Karolina [17]
3 years ago
13

"-5 increased by one-half of a number is a maximum of 3."

Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

x \leq -4

Step-by-step explanation:

5 + 1/2x \leq 3

1/2x \leq -2

x \leq -4

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Roman55 [17]

We can do this by converting the equation to vertex form:-

h = -16t^2 + 36t + 10

= -16(t^2 - 2.25t) + 10

= -16 [ (t  - 1.125)^2 - (1.125)^2] + 10

= -16(t - 1.125)^2 + 20.25 + 10

= -16(t - 1.125)^2 + 30.25  

So the answer is 1.13s and 30.25 ft.

=  (


3 0
4 years ago
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The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a
Lilit [14]

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

<u></u>

<u>Formulae</u>

  • Circumference of a circle = 2\pir
  • Area of a circle =  \pir²

      (where r is the radius of the circle)

<u>Find the radius</u>

circumference = 96 m

Using the circumference of a circle formula:

⇒  2\pir = 96

⇒  \pir = 96 ÷ 2 = 48

⇒  r = 48 ÷ \pi = 48/\pi

<u>Find the area</u>

radius r = 48/\pi

Using the area of a circle formula:

⇒  A = \pir²

⇒  A = \pi(48/\pi)²

⇒  A = 2304/\pi

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⇒  A = 733 m² (to the nearest meter)

6 0
3 years ago
I’m a small library, there are 5 nonfiction books. There are 130 nonfiction books. How many fiction books are there?
UkoKoshka [18]

Answer: 125 fiction books

5 0
3 years ago
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Joey collected 30 eggs. The 30 eggs fills 1/10 of an egg crate. What is the total number of eggs the egg crate can hold?
joja [24]
You times 30 times 10 equals 300 so you answer would be 300 eggs
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4 years ago
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Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s
noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

<span><span>6!</span><span>6!</span></span>

and taking the product of this would give me the amount of ways this could occur:

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then for part b)

using this same idea except:

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Right way to think them through?

7 0
4 years ago
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