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Sergeu [11.5K]
3 years ago
15

Find the product: (5/3)(2/3)(2/1)

Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer:

20/9

Step-by-step explanation:

Hope this helps!

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Determine the value of w and x in the figure below. (Thanks for the help I really appreciate it!)​
storchak [24]
Triangle HAM looks like an isosceles triangle, and we know that in an isosceles triangle 2 of the angles are the same.

so :
180 - 106 = 74 ( sum of the other 2 angles )
74/2 = 37 ( sum of angle HMA / HAM )

angles on a straight line add up to 180.
180-37=143 ( angle x )

since triangle YMH is also an isosceles,
180-37=143
143/2=71.5 ( angle w )
7 0
3 years ago
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
Read 2 more answers
Find the gcf and lcm of 10and15
Murrr4er [49]
The greatest common factor of 10 is 10 and the least common factor of 15 is 15
Hope I helped!!!!!
3 0
3 years ago
4^3 = ?<br><br>A. 64<br>B. 7<br>C. 12<br>D. 1
Alexxandr [17]

By defining how exponents work, we conclude that 4^3 = 64, so the correct option is A.

<h3>How to find the cube of 4?</h3>

Let's remember how exponents work.

If we have a number a to the exponent n:

a^n

It means that we need to multiply the number a by itself n times.

Then, in this case:

4^3

Can be rewritten to.

4*4*4

Now we can solve that product:

4*4*4 = (4*4)*4 = 16*4 = 64

Then we conclude that the correct option is A

4^3 = 64

If you want to learn more about exponents:

brainly.com/question/847241

#SPJ1

8 0
1 year ago
Hi! Pls help me with this question:
zimovet [89]

Answer:

PR=8

ST=5

Step-by-step explanation:

2x=8

x=4

PR=2x=8

5z=2z+3

3z=3

z=1

ST=5z=5

8 0
3 years ago
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