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Phoenix [80]
3 years ago
5

What is the 7th term of the geometric sequence where a1 = −4,096 and a4 = 64? (6 points)

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

7th term is -1

Step-by-step explanation:

Mathematically, we have the nth term of a geometric sequence as:

Tn = ar^(n-1)

where a is the first term

n is the number of terms

T4 = ar^3

64 = -4096 * r^3

r^3 = -64/4096

r^3 = -1/64

r^3 = (-1/4)^3

r = -1/4

The 7th term is:

T7 = ar^6

T7 = -4,096 * (-1/4)^6

T7 = -1

The 7th term is -1

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The san paulo community swimming pool can be filled in 12 hr if water enters through a pipe alone or in 30 hr if water enters th
Nuetrik [128]

Alright, lets gets started.

If water enters through a pipe alone, swimming pool can be filled in 12 hr.

Or say, in 12 hrs, swimming pool can be filled with help of pipe.

It means in 1 hr, the part of swimming pool filled = \frac{1}{12} (For pipe only)

Similarly, with hose only, , in 1 hr, the part of swimming pool filled = \frac{1}{30}

So, water is coming from both, pipe and hose , then in 1 hr, the part of pool filled will be = \frac{1}{12}  + \frac{1}{30}

Suppose in x hrs, with both supplies, pipe and hose, pool is filled.

Means

\frac{1}{12}  + \frac{1}{30}  = \frac{1}{x}

making common denominator

\frac{30}{360}   + \frac{12}{360}  = \frac{1}{x}

\frac{30 + 12}{360} = \frac{1}{x}

\frac{42}{360}  = \frac{1}{x}

Flipping

\frac{360}{42}  = x

x = \frac{60}{7}

Means 8.57 hrs : Answer

Hope it will help :)

7 0
3 years ago
What would the Outputs be when the Inputs is 1,7,-3,and -5 if the function is Y=6
kondaur [170]

If the function is y=6

It's a constant

For any value of input the output will be equal to 6

therefore

the Outputs when the Inputs is 1,7,-3,and -5 is 6

4 0
1 year ago
a cylinder water tank carries a volume of 150L when it is full. The water tank has a base surface with a diameter of 140 cm. wha
REY [17]

Answer:

9.74418019cm=h

~ 9.7442

Step-by-step explanation:

volume of a cylinder=πr²h

radius=½of diameter

=½×140cm

=70cm

1l=1000cm³

150l=150l/1l×1000cm³

=150000cm³

150000cm³=π(70cm)²×h

150000cm³=15393.8040cm²h

150000cm³/15393.8040cm²=15393.8040cm²h/15393.8040cm²

150000cm³/15393.8040cm²=h

9.74418019cm=h

7 0
3 years ago
What is the greatest common factor of 8x and 40?
Salsk061 [2.6K]

Answer:5

Step-by-step explanation:

3 0
4 years ago
Help with problems 23-27
qaws [65]
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