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MArishka [77]
4 years ago
13

The nth term of a sequence is 3n+4 explain why 21 is not a term of this sequence

Mathematics
1 answer:
Snowcat [4.5K]4 years ago
6 0

In this sequence, n can only be a natural number. So, if you plug in 5 for n, then you get 19. Also, if you plug in 6 for n, you get 24. Since no natural number can be replaced with n to get 21, it isn’t a term in the sequence

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How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
3 years ago
The mean of a particular set of 7 numbers is 4. Six of the numbers in the set are known: 1,2,2,5,7,and 8.
Setler [38]
\dfrac{1+2+2+5+7+8+x}{7}=4\\&#10;\dfrac{25+x}{7}=4\\&#10;25+x=28\\&#10;\boxed{x=3}&#10;
8 0
3 years ago
(a) The proportion of accidents that occur up to mile 1.2 of the path is the area under the density curve between 0 miles and 1.
inn [45]

Answer:

the area would be 0.4 or 40%

Step-by-step explanation:

The computation of the area is given below:

But before that the level of the density is

The density level is

=  1 ÷ (3 - 0)

= 1 ÷ 3

Area from 0 miles to 1.2 miles

= (1 ÷ 3) × (1.2 - 0)

= 0.4 or 40 %

Hence, the area would be 0.4 or 40%

the same is considered and relevant too

4 0
3 years ago
Solve |3x + 3|= 27
Alenkasestr [34]

Answer:

d.x=-8 and x=-10

Step-by-step explanation:

4 0
3 years ago
When you can walk to miles in 30 minutes how many miles can she walk in two hours
djyliett [7]
Easey

ratio and proprotion

or
knowlege


1. ratio and proportion
distance/time=2/30

2hours=60*2=120mins
xdistance
2/30=x/120
1/15=x/120
times boht sides by 120
120/15=x
8=x

8 miles


knowlege way
30 mins=1/2 hour
30 mins=1/4 of 2 hours
2=1/4 of 2 hours
2*4=8
8 miles
3 0
3 years ago
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