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4vir4ik [10]
3 years ago
8

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:  The speed of the motorboat is 70 miles per hour

Step-by-step explanation:  Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

For example, at 2 hours, the distance shown on the graph is 175 miles

Subtract: 175 -35 = 140.  Then divide 140/2 = 70

At 4 hours, the distance shown is 315 miles.

Subtract: 315 - 35 = 280. Then divide  280/4 = 70

70 mph is the speed.

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Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
A drilling crew dug to a depth of 26 ½ feet during their first day of drilling. On the second day, the crew dug down 9½ feet mor
Neporo4naja [7]

The depth of the bottom of the hole after the second day is 36 feet using addition operation.

<h3>What is addition?</h3>

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.

Given the depth on the first day is 26 ½ feet.

Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day

This implies, depth on the second day = 9½ + 26 ½

= 36 feet

Therefore, the depth of the bottom of the hole after the second day is 36 feet.

To learn more about addition, visit:

brainly.com/question/25621604

#SPJ9

5 0
1 year ago
A box has four coins coin 1 has both sides tails coin 2 has both sides heads coin 3 has both sides heads coin 4 if a regular coi
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6 0
3 years ago
The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpk
vaieri [72.5K]

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

5 0
3 years ago
The times for three swimmers are 101.85 seconds, 101.6 seconds, and 59.625 seconds. Which is the winning time? how many seconds
bija089 [108]

Hello there! the winning time is 59.625 seconds.

This is the person who completed the lowest amount of time, meaning they finished first. The others too longer so they finished later, meaning they didn't win.

I hope this was helpful and have a great day! :)

3 0
3 years ago
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