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OleMash [197]
3 years ago
14

72

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

36

Step-by-step explanation:

The way to read this question would go: What is 72% of 50 because that will get you the number of correct solutions. When reading a statement like that, the word "of" means to multiply. However, before we multiply those two values we have to convert the value "72" into percent form. To do that you just divide it by 100 to get 0.72. Then following the statement, you would do 0.72*50 to get your final value of 36 correct questions

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Need an answer as soon as possible.
Elza [17]
Part A

Answer: The common ratio is -2

-----------------------------------

Explanation: 

To get the common ratio r, we divide any term by the previous one

One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2

Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time

Side Note: each term is multiplied by -2 to get the next term

============================================================
Part B

Answer:
The rule for the sequence is 
a(n) = (-2)^(n-1)
where n starts at n = 1

-----------------------------------

Explanation:

Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio

The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)

============================================================
Part C

Answer: The next three terms are 16, -32, 64

-----------------------------------

Explanation:

We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms

-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64

showing that the next three terms are 16, -32, and 64

An alternative is to use the formula found in part B

Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier

Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier

Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier

while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
6 0
3 years ago
A truck can be rented from Company for 50 dollars a day plus 0.50 per mile. Company B charges 30 dollars a day plus 0.90 per mil
kirill115 [55]

Answer:

no company a gets 3 miles company b gets 5 miles

Step-by-step explanation:

7 0
3 years ago
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your ans
sergiy2304 [10]
Well 1 pound should cost $3 so do the math lol
5 0
3 years ago
For this linear equation, give the number by which you would multiply the terms in each equation in order to eliminate one of th
Leya [2.2K]

Answer:

Step-by-step explanation:

The solution to this system of linear equations 3x – 2y = 14 and 5x + y = 32 is (x, y) is (6, 2).

6 0
3 years ago
Read 2 more answers
For a class trip, 114 students are put on buses. At this rate, how many students would be on eight buses? Show your work.
vredina [299]

Answer:

Not really sure but 14.25 students seem to be the correct answer.

Step-by-step explanation:

114:8 = 14.25

3 0
1 year ago
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