3 years ago

What is The 7th term of the following sequence?

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

Answer:

0.03125

Step-by-step explanation:

Note that -32 is obtained by multiplying 128 by -1/4, and that 8 is obtained in the same way. Thus, the common ratio is -1/4, and the formula for the nth term of this sequence is

a(n) = 128(-1/4)^(n-1).

Then the 7th term is a(7) = 128(-1/4)^(7-1) = 128(-1/4)^6, or 0.03125.

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Lydia drives from city a to city b to transport goods. her return speed is 3 times her departure speed and she takes 40 minutes

gizmo_the_mogwai [7]

Answer:

1 hour

Step-by-step explanation:

Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.

t/3=t-40

We can multiply by 3

t = 3t -40*3 = 3t - 120

This is equivalent to

3t -120 = t

We subtract t

2t-120 = 0

2t = 120

We divide by 2

t = 120/2 = 60

So this is 60 minutes = 1 hour.

Thank you.

4 0

3 years ago

What is 8 3/4 ÷ 2 1/6? A. 3 1/8 B. 3 25/26 C. 4 1/26 D. 4 1/8

love history [14]

Convert mixed numbers to improper fractions:

$8\dfrac{3}{4}=\dfrac{8\cdot4+3}{4}=\dfrac{35}{4}\\\\2\dfrac{1}{6}=\dfrac{2\cdot6+1}{6}=\dfrac{13}{6}$

$8\dfrac{3}{4}\div2\dfrac{1}{6}=\dfrac{35}{4}\div\dfrac{13}{6}=\dfrac{35}{4\!\!\!\!\diagup_2}\cdot\dfrac{6\!\!\!\!\diagup^3}{13}=\dfrac{(35)(3)}{(2)(13)}=\dfrac{105}{26}=4\dfrac{1}{26}\to\boxed{C.}$