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ella [17]
3 years ago
9

2330 - 0540 milatary time

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0

It means 11:30 PM - 5:40 AM .

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Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bike
joja [24]

9514 1404 393

Answer:

  A. d = ∑[k=1,n] (4.5+0.5k)

  B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

  an = a1 +d(n -1)

  an = 5 + 0.5(n -1) . . . . substitute numbers for this series

  an = 4.5 +0.5n . . . . . . simplify

The sum is the sum of these terms:

  \displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}

__

B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.

  \displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}

Melissa's total distance will first exceed 60 miles the 9th time she trains.

6 0
3 years ago
Read 2 more answers
What is an intermediate good?
cluponka [151]
A product used to produce a final good or finished product
4 0
3 years ago
An animal shelter currently has 27 dogs and 23 cats. What is the ratio of cats to animals
jenyasd209 [6]

Answer:

Ratio of Cats to animals \frac{23}{50}

Step-by-step explanation:

Total animals in the shelter = Total number of dogs + Total number of Cats

                                              =27+23

                                              =50

Ratio of Cats to animals        = Number of Cats / Total animals

                                               =\frac{23}{50}

3 0
4 years ago
I need help with these
Oliga [24]
Which ones do u need help with
5 0
3 years ago
Mr wong predicted that he would sell 45 automobiles , he actually sold 48
dolphi86 [110]

Answer:

well done mr wong lol

Step-by-step explanation:

what's the question is it the percent he beat his prediction?

if it is then its 48 divided by 45 times 100

this equals 106.67%

then take this away from his prediction percent originally which is 100%

106.67-100= 6.67%

7 0
2 years ago
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