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abruzzese [7]
3 years ago
11

Determine the 42nd term of the sequence12, 14, 16, ....​

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

94

Step-by-step explanation:

the general formula for the nth term of this arithmetic sequence is

a(n) = 12 + 2(n-1).

The 42nd term would then be a(42) = 12+ 2(42 - 1) = 12 + 82 = 94

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The distance between -18 and 15 is equal to _____. 18 - 15 15 - 18 -18 - 15 15 - (-18)
NemiM [27]

Answer: Choice D.  15 - (-18)

This results in 15 - (-18) = 15 + 18 = 33.

So from -18 to 15 on a number line is 33 spaces.

We can also say

|-18 - 15| = |-33| = 33

The use of absolute value is to ensure the distance is never negative.

5 0
3 years ago
Find (g • f) ^(3) PLEASE HELLPP
spayn [35]
The first thing we are going to do to find (g°f)(3), is find (g°f)(x). To do that, we are going to evaluate g(x) at f(x):
(g°f)(x)=g(f(x))=g(3x-2)=(3x-2)^2=9x^2-12x+4

Now, we can evaluate (g°f) at 3:
g(f(3))=9(3)^2-12(3)+4
g(f(3))=9(9)-36+4
g(f(3))=81-32
g(f(3))=49

We can conclude that the correct answer is c. 49
6 0
3 years ago
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 <u>Answer A is wrong.</u>

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 <u>Answer B is wrong.</u>

C. A=(3+26)(3+15)=(29)(18)=522 <u>Answer C is wrong.</u>

D. A=(3+14)(3+8)=(17)(11)=187 <u>Answer D is wrong.</u>

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239  Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 <u>Answer D is wrong.</u>

5 0
3 years ago
Find the inverse for each relation. <br> 1. { (1, -3), (-2, 3), (5, 1), (6, 4) }
velikii [3]
You just flip each of the numbers spots - the x and y
3 0
3 years ago
An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $2
nydimaria [60]

Answer:

15.51

Step-by-step explanation:

14.91x4%=.60

14.91+.60=15.51

7 0
3 years ago
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