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2 years ago

A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm

Mathematics

1 answer:

Inga [223]2 years ago

7 0

Look at number 3 for the answer

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

Jammal spend $66 on supplies to make some woodworking items if he sells his items for $7.25 each how many items does he have to

inna [77]

Answer:

Step-by-step explanation:

5 0

3 years ago

Find the m2.

Lisa [10]

9514 1404 393

Answer:

d. m∠Q = 75 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

∠P +∠Q +∠R = 180°

x° +(2x +15)° +(2x +15)° = 180°

5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

x = 30 . . . . . . . . . . . . . . . . divide by 5

m∠Q = (2x +15)° = (2(30) +15)°

m∠Q = 75°

8 0

3 years ago

Question is attached!

wel

Answer:

what are the answer

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If a container of liquid contains 40 oz of solution, what is the number of ounces of pure acid if the given solution contains t

Anna11 [10]

Answer:

(d) 60% hope this helped

6 0

3 years ago