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dolphi86 [110]
3 years ago
11

Another sigma notation question. Please check. Hopefully I did this one correctly!

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

Your answer is correct.  The series is a geometric series with common ratio -1/4 and first term 40.  So each term is:

an = 40 (-1/4)^(n−1)

So the sum of the first 10 terms is:

∑(n=1 to 10) [ 40 (-1/4)^(n−1) ]

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Can someone please explain the Pythagorean theorem to me?
Leona [35]

Answer:

Pythagoras theorem is is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.

Step-by-step explanation:

The hypotenuse is the side opposite to the right angle and so the equation for finding the hypotenuse would be:

a^2+^b^2=c^2

7 0
3 years ago
A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?
tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

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3 years ago
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8 0
4 years ago
Select the correct answer. What is √125 in simplest form? OA. 5√5 B. 25√5 OC. 5√25 D. 15 Select the correct answer . What is √12
MaRussiya [10]

Answer:

A

Step-by-step explanation:

using the rule of radicals

\sqrt{ab} = \sqrt{a} × \sqrt{b} then

\sqrt{125}

= \sqrt{25(5)}

= \sqrt{25} × \sqrt{5}

= 5\sqrt{5}

6 0
2 years ago
Read 2 more answers
Debra purchased a prepaid phone card for $25 . long distance calls cost 11 cents a minute using this card. debra used her card o
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Answer: 15 mins
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4 years ago
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