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ira [324]
3 years ago
14

Find an explicit formula for the geometric sequence −8 ,−40 ,−200 ,−1000,...

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence

Step-by-step explanation:

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Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f
Vilka [71]

Answer:

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

4 0
3 years ago
Using the numbers -2,-3,5,2 create one expression that equal 10
Nostrana [21]
One equation that you could make is 5+2-(-3)










3 0
3 years ago
$976 and 25% intrest for 4 years
tatuchka [14]

Answer:

<h3>1952.00</h3><h3>I=976</h3>

Step-by-step explanation:

<u><em>SIMPLE INTEREST FORMULA:</em></u>

I- Interest

P- Principal

R- Rate

T-Time

P=976

R=25

T=4 years

976*25%4

25%=0.25

Solve.

Multiply.

976*0.25*4

976*0.25*4=976

I=976

976 and $1952.00, which is our answer.

7 0
3 years ago
What is the slope of the graph ? Leave your answer as a reduced fraction ?
Juliette [100K]

Answer:

-3/4

Step-by-step explanation:

(-8,4),(0,-2)

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ \\\\\\\frac{-2-4}{0-(-8)} \\\\\\\frac{-2-4}{0+8}\\\\ \\\frac{-6}{8} or \frac{-3}{4}\\

6 0
3 years ago
The measures of three of the interior angles of a quadrilateral are 60°, 110°, and 90°. What is the measure of the fourth angle
Dmitry_Shevchenko [17]

Answer:

100°

Step-by-step explanation:

all four angles added together total 360°

x = 360° - 60° - 110° - 90°

x = 100°

3 0
3 years ago
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