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Mekhanik [1.2K]
3 years ago
12

He recursive formula for a geometric sequence is an = 2an – 1 with an initial value of a1 = 1/88. What is the explicit formula f

or the sequence?
A. an = 1/8(2)n + 1
B. an = 1/8(2)n – 1
C. an = 1/8(4)n – 1
D. an = 1/8(4)n + 1
Mathematics
1 answer:
ahrayia [7]3 years ago
5 0
B is the answer or d
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Joe is trying to soup up his dragster. He knows that the time needed for the car to go from 0 to 100 miles per hour varies inver
inysia [295]
8 seconds

The hardest part of this is setting up the equation -- the calculations are pretty easy.

You're told that the time (needed to go from 0 to 100 MPH) is inversely proportional to the horsepower:  what this means is that as horsepower gets larger, time gets smaller. This makes sense since the more horsepower you have, the less time it will take you to get to 100 MPH

You can think of this as:

200 HP = 10 seconds
250 HP = x seconds

You set the equation up as:

250 HP / 200 HP = 10 sec / x sec

Now, just cross multiply and solve:

250 / 200 = 10 / x
250x = (200 x 10)
250x = 2000
x = 2000 / 250
x = 8

So, as you increase the horsepower from 200 to 250, the time decreases from 10 seconds to 8 seconds.

Hope this helps!

Good luck.
3 0
3 years ago
What is the Inter quartile Range <br> 5, 36, 15, 31
Greeley [361]

Answer:

The interquartile range would be 23.5.

3 0
3 years ago
What is the multiplicative inverse of -27 and what is the multiplicative inverse for 7/9 and -9/16
liberstina [14]

The multiplicative inverse of a number is the number when you multiply it, it gives you the product of 1.

So for - 27, what number will give us 1 when we multiply it by -27

-27 * -1/27 = 1

So the multiplicative inverse of -27 = -1/27

7/9 * 9/7 = 1

-9/16 * -16/9 = 1

So in essence, just take the number and flip it

-27 = -1 / 27

7/9 = 9/7

-9/16 = -16/9

3 0
3 years ago
Julio tested the point (4, –2) to see whether it is a solution to this system of equations. –3x – 2y = –8, y = 2x – 5 His work i
kolezko [41]

if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8   ok
(2)  y = 2x – 5
-2=2*4-5=3---------->-2 is not 3

the point  (4, –2) is not solution of the system of equations
6 0
3 years ago
Read 2 more answers
Evaluate.<br> (-4)=<br> (-7) = 0<br> Please help ASAP!!
denis-greek [22]
  • Answer:

<em>(-4)³ = (-4)(-4)(-4) = 16(-4) = - 64</em>

<em>(-7)² = (-7)(-7) = 49</em>

<em>(-)×(-) = +</em>

<em>(-)×(+) = -</em>

4 0
3 years ago
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