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leva [86]
4 years ago
10

The explicit rule for a sequence is a_n=7(−4)^n−1 .

Mathematics
1 answer:
alexgriva [62]4 years ago
5 0
Do you need help solving the sequence?
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Nina and Jo both ran a 13 km race.
yKpoI14uk [10]

We will see that Jo's speed, rounded to 2 digit places, is:

S =  6.42 km/h

<h3>How to get Jo's speed?</h3>

Remember that:

<em>speed = distance/time.</em>

Nina takes 2 hours and 10 minutes to finish the race, first, let's write the time in hours:

1 hour = 60 min.

Then:

10 min = (10/60) hours = 0.167 hours.

So we can write the time as:

2.167 hours.

And the distance is 13km, so her speed is:

S = 13km/2.167h = 6 km/h

The time that she takes to reach a distance of 11km (where she meets with Jo) is:

T = 11km/(6 km/h) = 1.83 hours.

Now, Jo starts 7 minutes after Nina, then the time in which he travels the 11 km is:

1.83 hours - 7 minutes.

Where:

7 min = (7min/60 min) hours = 0.117h

Then the time is:

T= 1.83h - 0.117h = 1.713 hours.

So he travels 11km in 1.713 hours, then his speed is:

S = 11km/ 1.713 hours = 6.42 km/h

If you want to learn more about speed:

brainly.com/question/4931057

#SPJ1

6 0
2 years ago
Each side of a square is 7+3x units which is the perimeter of the square
poizon [28]

Answer:

28+12x

Step-by-step explanation:

Multiply everything by 4

(7+3x)*4=28+12x

5 0
3 years ago
Read 2 more answers
This rectangular frame is made from 5 straight pieces of metal.
Aneli [31]

Answer:

Total weight = 70.5 kg

Step-by-step explanation:

Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.

2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each

2 pieces from the width of the rectangular frame, hence, they a length of 5 m each

To find the length of the diagonal, we can use Pythagoras Theorem:

Hypotenuse² = Base² + Perpendicular²

Hypotenuse² = 5² + 12²

Hypotenuse² = 169²

Hypotenuse = 13

Hence, the length of the piece of metal placed at the diagonal is 13cm

Find the sum of all lengths of the metal pieces.

Total length = 12 + 12 + 5 + 5 + 13

Total length = 47 m

Total weight = 1.5 × Total length

Total weight = 1.5 kg/m × 47m

Total weight = 70.5 kg

7 0
3 years ago
What is 5 - 5 + 5 x 5 / 5
Stolb23 [73]
5-5+25/5
5-5+5
0+5
5
The answer is 5.
6 0
3 years ago
Read 2 more answers
23. divided by 340.2
Andre45 [30]
The answer is 0.06760729

That is a very odd question
5 0
3 years ago
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