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madreJ [45]
3 years ago
7

Divide and answer in simplest form :) 5/3÷3​

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

5/9

Step-by-step explanation:

5/3÷3

Copy dot flip

5/3 * 1/3

5/9

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
dsp73

Answer:

The required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, a_2=10,a_3=5,a_4=2.5,a_5=1.25

r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}

The common ratio of GP is 1/2.

r=\frac{a_2}{a_1}

\frac{1}{2}=\frac{10}{a_1}

a_1=20

The first term of the sequence is 20.

The formula for sequence is

a_n=a(r)^{n-1}

Where a is first term and r is common difference.

The required sequence is

a_n=20(\frac{1}{2})^{n-1}

The formula for rate of change is

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The average rate of change from n = 1 to n = 3 is

m=\frac{f(3)-f(1)}{3-1}

m=\frac{5-20}{3-1}

m=\frac{-15}{2}=-7.5

Therefore the required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

8 0
3 years ago
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Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flo
ioda

Answer:

only 3

Step-by-step explanation:

6 0
2 years ago
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I’m pretty sure the answer is a ?
irina [24]
I believe that it’s B
7 0
3 years ago
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur​
olganol [36]

Answer:

do as direct

which one of the following is square of 4

2

8

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64

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3 years ago
What is the area and perimeter of a rectangle that has base of 18 inches and height of 5 inches
KATRIN_1 [288]

Answer:

area is 90 and perimeter is 46

Step-by-step explanation:

the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.

8 0
3 years ago
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