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MAXImum [283]
3 years ago
13

Ángel and Jayden we’re at track practice.

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0
Ángel and Jayden we’re at track practice.
The track is 2/5 kilometers around.
* Ángel ran 1 lap in 2 minutes.
* Jayden ran 3 laps in 5 minutes.
How far does Jayden run in one minute?

4 1/6 km
You might be interested in
Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
If triangle FGH, FG=8.7, FH=4.5 and GH=6.1, Which is the smallest angle of the triangle
jolli1 [7]

∠G is the shortest

Step-by-step explanation:

Given is a ΔFGH

FG = 8.7

FH = 4.5

GH = 6.1

The triangle will be formed with three angles

F, G and H

"The side opposite to the largest angle of the triangle is the largest"

Similarly, The side opposite to the shortest angle is the shortest.

Converse of this postulate will be:

The interior angle opposite to the shortest side of the triangle is the smallest.

The triangle formed is attached in the form of a picture.

The angle opposite to FH will be the shortest.

Hence,

∠G is the shortest

Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/7128279
  • brainly.com/question/702593

#LearnwithBrainly

7 0
3 years ago
A greengrocer sells a melon at a profit of 37.5% on the price he pays for it. what is the ratio the cost price to the selling pr
strojnjashka [21]
\frac{100}{137.5} =  \frac{1}{1.375}  I simply divided by 100 and moved the decimal two places to the left.
4 0
3 years ago
A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo
NeTakaya
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2

To find compound probabilities, just multiply them together.

\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{2*2*2*2*2} =\frac{1}{32} = \boxed{0.031}\ in\ decimal\ form
4 0
3 years ago
15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be
Arisa [49]


The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

To figure this out, first find 15% of 80 and then 25% of 48.

To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)

To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.

So, the final answer is B. They both equal to 12.

Hope it helps :)

6 0
3 years ago
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