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expeople1 [14]
3 years ago
10

When a tree was planted, it was 3 ft tall. Since then, it has been growing at a rate of 0.25 ft per year. How long will it take

for the tree to grow to be 15 ft yall?
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0
I think it will be 60 years. 15 divided by 0.25 is 60.
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Write an equation for the nth term of the arithmetic sequence. Then find a40.
Olegator [25]

Answer:

The nth term is: a_n = \frac{1}{4} + \frac{1}{4}(n-1)

a40 = 10

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The nth term of a sequence is given by:

a_n = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

1/4,1/2

This means that:

d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}

1/4

This means that a_1 = \frac{1}{4}

The nth term is:

a_n = a_1 + (n-1)d

a_n = \frac{1}{4} + \frac{1}{4}(n-1)

Then find a40.

a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10

So

a40 = 10

8 0
2 years ago
Plz plz plz HELP!
ch4aika [34]

Answer:

y=11x

Step-by-step explanation:

ΔX = 2 – 1 = 1

ΔY = 22 – 11 = 11

5 0
2 years ago
One circle has a diameter of 6 inches. A larger circle has a diameter that is 4 times the diameter of the circle. what is the ra
harina [27]

Answer:

C, 1 : 16

Step-by-step explanation:

Small Circle

The radius is half of the diameter. 3 inches.

π×r²=A

We'll use 3.14 for pi.

3.14×9

28.26 in²

Bigger Circle

6×4= 24

So the diameter is 24. The radius is 12.

3.14×12²

3.14×144

452.16 in²

Let's divide.

452.16÷ 28.26

= 16

Therefore, the answer is C, 1 : 16.

Hope this helps, please mark brainliest if possible :)

5 0
2 years ago
LEARN Denzel gives of his pretzel sticks to Jane and of his pretzel sticks to Hannah. He has 55 pretzel sticks left. How many pr
sweet-ann [11.9K]

Answer:

90 pretzel sticks.

Step-by-step explanation:

7 0
2 years ago
(WILL DO BRAINLIST)
Lynna [10]
You have a function y= \dfrac{3}{2} \left(1+\sin  \left(\dfrac{2t+1}{2}\cdot \pi\right) \right).
Since the range of the function y=\sin x is [-1,1] you have that

-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3.
Answer: The range of given function is [0,3] and the correct choice is C.
6 0
2 years ago
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