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ss7ja [257]
3 years ago
8

Can somebody help me out please?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

all work is shown and pictured

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the third term of an arithmetic sequence is 24 and the fifth is 32 if the first term is a1. which is an equation nth term of the
const2013 [10]
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
8 0
3 years ago
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The circumference of a hula hoop is<br> 86π cm<br> What is the radius of the hula hoop?
kvv77 [185]
The answer is 43 because it is half of 86 which is the radius
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3 years ago
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The linear function y = 7x + 2 represents the cost y, in dollars, of buying x tickets, including a one time service fee. What do
dolphi86 [110]

Answer:

x^5y+4x+4y+2

Step-by-step explanation:

Fact, ^ is called an exponet

(Just so you know)

4 0
3 years ago
of the last 15 contestants on a game show, 3 won a prize. Considering this data, how many of the next 20 contestants would you e
nadya68 [22]
You do 3/15 which is 0.2

then 0.2*20 which is 4

you can expect 4 to win a prize

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4 0
3 years ago
A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo
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Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose k=3 numbers out of n=17 possible numbers and find the total amount of combinations since order does not matter:

\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680

Thus, you can make 680 three-non-repeating-number codes

8 0
2 years ago
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