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ikadub [295]
3 years ago
15

The first term of a gemotetric sequence is -15 and the common ratio is 6 What is the twelfth term of the sequence

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

Step-by-step explanation:

a₁₂ = a₁r¹²⁻¹ = -15×6¹¹

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Help!!!!!! Please I have no idea what this is!!!
Semmy [17]

Answer:

33.49 cubic units

Step-by-step explanation:

V_{sphere}  =  \frac{4}{3}  \times  \pi {r}^{3}  \\  \\ V_{sphere}  =  \frac{4}{3}  \times  \pi {(2)}^{3}  \\  \\  V_{sphere}  =  \frac{4}{3}  \times  \pi  \times 8 \\  \\ V_{sphere}  =  \frac{32 \times 3.14}{3}  \\  \\ V_{sphere}  =  \frac{100.48}{3}  \\  \\ V_{sphere}  = 33.4933333\\  \\ V_{sphere}   \approx 33.49\: units^3

7 0
3 years ago
A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?
Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.

6 0
3 years ago
Read 2 more answers
If tn = 4n+1, find t1, t2, t3, and tn+1. Express tn+1−tn in its simplest form.
Doss [256]

Answer:

t_1=5

t_2=9

t_3=13

t_{n+1}-t_n=4

Step-by-step explanation:

We have that:

t_n=4n+1

When we substitute n=1, we get:

t_1=4*1+1=5

When we substitute n=2 we get:

t_2=4*2+1=9

When we substitute n=3, we get:

t_3=4*3+1=13

When we substitute n=n+1, we get:

t_{n+1}=4*(n+1)+1=4n+5

Now

t_{n+1}-t_n=4n+5-(4n+1)

We expand and simplify to obtain:

t_{n+1}-t_n=4n+5-4n-1

t_{n+1}-t_n=4

3 0
3 years ago
Estimate the quotient of 900.37 and 29.8. 3 9 30 90
vesna_86 [32]

Answer:

30

Step-by-step explanation:

Quotient means were dividing, so divide 900.37 by 28.9

900.37/28.9=30 rounded up.

The estimated quotient of 900.37 and 28.9 is 30.

Hope this helps!

7 0
4 years ago
Read 2 more answers
Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = Select the solution(s) of the original equation.
bezimeni [28]

Answer:

\dfrac{-5-\sqrt{21}}{2},\ \dfrac{-5+\sqrt{21}}{2}

Step-by-step explanation:

For the equation (x+4)^2-3(x+4)-3=0 use the substitution u=x+4. Then the equation will take look

u^2-3u-3=0.

Solve this quadratic equation:

D=(-3)^2-4\cdot 1\cdot (-3)=9+12=21,\\ \\u_{1,2}=\dfrac{-(-3)\pm \sqrt{21}}{2}=\dfrac{3\pm\sqrt{21}}{2}.

Thus,

x+4=\dfrac{3-\sqrt{21}}{2}\text{ or }x+4=\dfrac{3+\sqrt{21}}{2},\\ \\x_1=\dfrac{3-\sqrt{21}}{2}-4=\dfrac{-5-\sqrt{21}}{2}\text{ or }x_2=\dfrac{3+\sqrt{21}}{2}-4=\dfrac{-5+\sqrt{21}}{2}.

8 0
4 years ago
Read 2 more answers
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