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olchik [2.2K]
4 years ago
9

What is 62.713 rounded to the nearest hundredth?

Mathematics
1 answer:
Juliette [100K]4 years ago
3 0

62.71 is the answer.

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A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\
a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
4 years ago
BRO PLS I HAVE TO PASS THIS (click for question) 20 POINTS!
Masja [62]

Answer:

D, E.

Step-by-step explanation:

<u>Simplify</u><u> </u><u>the</u><u> </u><u>expression</u><u> </u><u>inside</u><u> </u><u>the</u><u> </u><u>parentheses</u><u>:</u>

3(23 + 18) < 6a

3(41) < 6a

<u>Multiply:</u>

123 < 6a

<u>Substitute each value provided for a:</u>

Opt A. 123 < 6(18) = 123 < 108. Incorrect option.

Opt B. 123 < 6(19) = 123 < 114. Incorrect option.

Opt C. 123 < 6(20) = 123 < 120. Incorrect option.

Opt D. 123 < 6(22) = 123 < 132. Correct option.

Opt E. 123 < 6(24) = 123 < 144. Correct option.

3 0
3 years ago
What is the are of a hexagon with a radius of 5 inches?
xxTIMURxx [149]
The area of a hexagon with a radius of 5 inches is 86.603. 
6 0
3 years ago
Simplify.<br><br><br><br>4−8÷2+3<br><br><br>help lol​
Musya8 [376]

Answer:

we start with -8 divided by 2 because of PEMDAS

we now have -4

then we do 4-4+3=3

Step-by-step explanation:

6 0
3 years ago
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Explain the effect f (x)+k has on the graph if the exponential function f (x) Be specific and use complete sentences for full cr
Masteriza [31]
The +k part of the function takes the original function and translates it straight up k units. It's as simple as that.  If your function is the line f(x) = 3x, then the function f(x) = 3x + 4 moves that first function up 4 units.
7 0
3 years ago
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