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Dennis_Churaev [7]
2 years ago
13

Analyze the graph of the exponential decay function. The initial value is.

Mathematics
1 answer:
Alexeev081 [22]2 years ago
7 0

The initial value is equal to x. It is also known as the number out front of the parenthesis.

A=x(1-r)^t

^t means raised to the t(time)

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A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then
Ivan

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

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A kite is flying at a height of 60 m and is attached to a string inclined at 30° to the horizontal. What is the length of the st
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Step-by-step explanation:

Because it is

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Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Write an algebraic e
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Answer:

x + 29 = 41

Step-by-step explanation:

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The money he received will be add the amount he had last friday, $29.

The equation will equal his current amount, $41.

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For the situation, write and solve an equation. Then, explain what your solution means. If you get stuck, try drawing a diagram
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Answer:

5r + (5 x 6) = 84

looking for rice per pound.

Step-by-step explanation:

5r + (5 x 6)  = 84

This shows an equation where we need to make r the subject to establish how many pounds a bag of rice weighs.

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