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IrinaK [193]
4 years ago
5

What is the 6th term in the arithmetic sequence defined by the explicit formula an=8n-3?

Mathematics
1 answer:
Tanya [424]4 years ago
8 0

Answer: The 6th term is 45


Step-by-step explanation:

for the 6th term you would substitute 6 for n

an = 8n - 3

an = 8 * 6 - 3

an = 48 - 3

an = 45

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Does 12/15 and 14/17 form a proportion?
adell [148]

Answer:

yes they form a proportion

8 0
2 years ago
Ram is 9 years older than Hari. Three years ago, he was two times as old as Hari was. Find their present age.
True [87]

Answer:

Ram: 21, Hari: 12

Step-by-step explanation:

To solve the problem, we can use the following notation. We call:

r = Ram's age at present

h = Hari's age at present

We know that:

- Ram is 9 years older than Hari --> mathematically, this can be written as

r=h+9

- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as

r-3=2(h-3)

where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago

Substituting eq.(1) into eq.(2), we  find:

(h+9)-3=2(h-3)\\h+9-3=2h-6\\h+6=2h-6\\h=12

So, Hari's age is 12; therefore, Ram's age is

r=12+9=21

4 0
4 years ago
If f(x)=6x-15 and f(a)=30, what is the value of a?<br> Please help
mariarad [96]

Answer:

a=7.5

Step-by-step explanation:

Given the function f(x)=6x-15 and the output 30 when x=a, we can write the equation:

6a-15=30

6a=45

a=7.5

We can insert the value of a into the function to verify the output equals 30:

f(a) = 6a-15

= 6(7.5)-15

=30

∴ We have verified that a=7.5

Hope this helps :)

7 0
3 years ago
Ms. Ramo's thumb measures 4 cm. Express this length in meters
Natalija [7]

Answer: 0.04 meters

Step-by-step explanation:

Convert cm to meters by dividing the length by 100.

4/100= = 0.04

6 0
4 years ago
Read 2 more answers
How do I simplify this radical?
Yuliya22 [10]
Separate the root expression into the two numbers you found as factors, with each number now under its own square root symbol. For example, sqrt(12) = sqrt(4) times sqrt(3). 3) Keep simplifying. The square root of a perfect square becomes just a number, without theradical<span> square root symbol.</span>
7 0
4 years ago
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