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nikklg [1K]
2 years ago
6

Easy promblem help me

Mathematics
1 answer:
Nuetrik [128]2 years ago
7 0

the answer Is b and c

Step-by-step explanation:

because I did it

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The sequence a1 = 6, an = 3an-1 can also be written as
wariber [46]
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.
7 0
3 years ago
Over the weekend, statton and tyler drove to montana to go hunting. now they're preparing to go home.tyler needs gas for his jee
Shtirlitz [24]
The jeep gets 22 miles per gallon...

he has 5 gallons in the tank already....
buys gas at 1.25 per gallon.....spends $ 22...so he buys 22 / 1.25 = 17.6 gallons
so he has a total of (5 + 17.6) = 22.6 gallons....at 22 miles per gallon =
22.6 * 22 = 497.2 miles <==
7 0
3 years ago
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Nutka1998 [239]

​

<u><em>28.1 feet</em></u>

<u><em></em></u>

<em><u>explaination</u></em>

<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>

<u><em>cosU= </em></u>

<u><em>hypotenuse</em></u>

<u><em>adjacent</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>\cos 70=\frac{9.6}{x}</em></u>

<u><em>cos70= </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>x\cos 70=9.6</em></u>

<u><em>xcos70=9.6</em></u>

<u><em>Cross multiply.</em></u>

<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>

<u><em>cos70</em></u>

<u><em>xcos70</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>Divide each side by cos 70.</em></u>

<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>

<u><em>x= </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> =28.0685≈28.1 feet</em></u>

<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>

8 0
2 years ago
GEOMETRY!!! 15 PTSSSSS
ss7ja [257]

Answer:

23) option c

    JL ≈ 9.3

25) option c

      y ≈ 9.6

Step-by-step explanation:

<h3>25)</h3>

Given in the question that,

cos(21°) = 9 / y

y = 9/cos(21°)

y = 9.64

y ≈ 9.6(nearest tenth)

<h3>23)</h3>

Given in the question that the hypotenuse of right angle triangle = 12

To find,

height of the right angle triangle

angle k = 39°

so by using trigonometry identity

cos(39) = opp/hypo

cos(39) = JL / KL

JL = cos(39)(12)

JL = 9.32

JL ≈ 9.3

<h3 />
4 0
3 years ago
Read 2 more answers
The ratio of boys to girls is 5:3 there are 80 more boys than girls how many girls are there
shtirl [24]

Answer: 120

<u>Step-by-step explanation:</u>

              Ratio      Quantity

Boys:        5           80 + x                  

Girls:         3              x

                 \dfrac{5}{3}=\dfrac{80+x}{x}\\\\\\5x=3(80+x)\\\\5x=240+3x\\\\2x=240\\\\x=120

         

5 0
3 years ago
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