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mylen [45]
3 years ago
6

6. Check whether - 150 is a term of the AP: 11, 8,5,2...

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0
To check -150 is present in the sequence
-150=a+(n-1)d
According to the given series
a=11,d=-3
So we need to find n
If n is a fraction then it does not belongs to that series
From formula=-150=11+(n-1)-3
-150=11-3n+3
-150=14-3n
-150-14=-3n
-164=-3n
n=164/3
We got n as a fraction so -150 does not belong to series
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75 is 25% more than 60, but 60 is 20% less than 75, explain why?
xxMikexx [17]

Answer:

Explanation:

15 goes into 60, 4 times (1 fourth is equal to 25%).

15 goes into 75, 5 times (1 fifth is equal to 20%)

So 75 is one fifth more because it has a value of 15 more, and 60 is 1 fourth less than 75 because its value is more minuscule and less is more.

If you don't understand this was quite the challenge to explain.

4 0
3 years ago
Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's s
alukav5142 [94]

Answer:

The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km

Step-by-step explanation:

The given parameters from the question are;

The elevation of the meteor above the Earth's surface = 100 km

The rate at which the meteor falls = 20 km per second

The 'x' values represent the time in seconds and the 'y' values represent the meteor's height

Therefore, we have;

y = 100 - 20·x

The domain of a function is the set of inputs to the function

Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface

At the start x = 0 seconds

On the Earth's surface, y = 0, therefore;

0 = 100 - 20·x

x = 100/20 = 5

When the meteor just touches the Earth's surface x = 5 seconds

Therefore, the domain is 0 ≤ x ≤ 5.

8 0
3 years ago
there are eight girls competing in an ice skating competition,in how many ways can they finish in first,second, and third place?
Andreas93 [3]
<span>8! - 5! = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) - (5 * 4 * 3 * 2 * 1) = 8 * 7 * 6 = 336 </span>


5 0
3 years ago
Read 2 more answers
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about 2 minutes

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4 0
3 years ago
Jada is training for a marathon. She wants to run a total of 25 miles this week. She will run the same distance each day for 6 d
8090 [49]

Answer:

4 1/6

Step-by-step explanation:

4 x 6 = 24

1/6 x 6 = 6/6 = 1

24 + 1 = 25 :)

8 0
3 years ago
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