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lana66690 [7]
3 years ago
6

Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year

after the number of leaves was 40% more than the year before. Let f(n) be the number of leaves on the tree in mohameds back yard in the nth year since he started tracking it. F is a sequence was kind of sequence is it?
Mathematics
1 answer:
makkiz [27]3 years ago
6 0

Answer:

Geometric sequence

Step-by-step explanation:

According to the scenario, computation of the given data are as follows:

Leaves on tree this year (a) = 500

Rate of increase in leaves per year (r) = 40 % or 0.4

Let n be the number of years.

So we use exponential growth formula, i.e.

f(n) = a(1+r)^n

by putting the value, we get

f(n) = 500 ( 1+0.4)^n

or f(n) = 500 (1.4)^n

So, the common ration is 1.4.

Thus, it shows a geometric sequence.

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You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a club
saveliy_v [14]
More card math! Easy!!


Exactly 1/4 of a 52-card deck of cards is clubs. Another 1/4 spades, another 1/4 is hearts, and the final 1/4 is diamonds. To find what one fourth of 52is, you can divide 52 by 4. That equals 13. So there are 13 clubs in the entire deck of cards. If you are trying <em>not </em>to get a club, you have to find the remainder of the cards without those 13. 52 - 13 = 39. This means that you have 39/52 odds of <em>not </em>getting a club. Simplified you get 3/4.

I did it the long way. A shorter was is to see that, obviously, one whole minus one fourth is three fourths.
7 0
3 years ago
On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 h
shepuryov [24]

Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

3 0
3 years ago
A number y decreased by 9 is 8<br> An equation that represents this sentence
Masja [62]

Answer:

Y-9=8

Step-by-step explanation:

Y is decreased by 9 in just say 9 is subtracted by y

8 0
3 years ago
Which equations represent functions?
never [62]

Answer:

2x + 3y = 10,  3y = 18  (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x)   Yes, this is a function.

4x = 16 → x = 4        NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 →  2x = 17  →  x = 17/2  Not a function.  See reason given above.

3y = 18 →  y = 6   Function

2x = 14.6   →  x = 7.3  Not a function.  See reason given above

4 0
3 years ago
Find the equivalent expression of 3+2(2p+4t)
NISA [10]

Remember to follow PEMDAS, and to only combine terms with like variables.

First, distribute the 2 to all terms within the parenthesis:

2(2p + 4t) = 2(2p) + 2(4t) = 4p + 8t

3 + 4p + 8t, or (D), is your answer choice, for it cannot be simplified anymore.

~

7 0
3 years ago
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