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Stolb23 [73]
3 years ago
11

There are 1500 bees in a colony. Each month, the number of bees decreases by 12%. There are 800 flowering plants in a garden. Ea

ch month, 25 flowering plants are removed.
Part A: Write functions to represent the number of bees and the number of flowering plants throughout the months. (4 points)

Part B: How many bees are in the colony after 6 months? How many flowering plants are in the garden after the same number of months? (2 points)

Part C: After approximately how many months is the number of bees and the number of flowering plants the same? Justify your answer mathematically. (4 points)
Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
 So the answer to this question is:

A= bees: f(t) = 1500 × (0.88)∧t

 plants: g(t) = 800 - 25×t

B: (Bees) 1500 × (0.88)∧6= 696.60
After 6 months (696 bees ):
800 - 25×6 = 650 (Flowering Plants)
After 6 months:

650 flowering plants

C: 1500 × (0.88)∧t=800 - 25×t
t = 6.779965672

Answer is it will take 7 months or 6 for the bees and the plants.
Hope this helps!




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This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w
Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

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3 years ago
Terry sees this offer. 35% off refurbished phone, now only £78. What was the orginal price?
KengaRu [80]
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<span>£78 ---- 65%
x------100%

x=78*100/65=120</span>£<span>

or 
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78/whole=0.65
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hope this helps
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3 years ago
From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of
ankoles [38]

Answer:

a. 129 meters

Step-by-step explanation:

The given parameters of the tree and the point <em>B</em> are;

The horizontal distance between the tree and point <em>B</em>, x = 125 meters

The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°

Let <em>h</em> represent the height of the tree

The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;

The angle of depression = The angle of elevation = 46°

By trigonometry, we have;

tan(θ) = h/x

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Plugging in the values of the variables gives;

h = 125 × tan(46°) ≈ 129.44

The height of the tree, h ≈ 129 meters

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3 years ago
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