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jeka94
3 years ago
9

Determine two numbers that have a product of 40 and a sum of 13. help:(

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Hey there!

First, let's list the factors of 40:

1 x 40, 2 x 20, 4 x 10, 5 x 8,

We need to figure out which pair of factors has a sum of 13.

1 + 40 = 41 --> Nope

2 + 20 = 22 --> Nope

4 + 10 = 14 --> Nope

5 + 8 = 13 --> Yes!

The two numbers that have a product of 40 and a sum of 13 are 5 and 8.

Hope this helps!

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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Name two points that determine line AC.
Bogdan [553]

Answer: A & C

Step-by-step explanation:

4 0
3 years ago
John put away 36 of 48 shirts in his closet. Don has 84 shirts. If he put away the same percent, how many shirts did Don put in
Alexeev081 [22]

Answer:

63

Step-by-step explanation:

John's percentage:

36 and 48 have a common factor of 12 so divide both of them by 12.

36/12= 3 and 48/12=4 therefore

so 36/48= 3/4 which is 75% but we don't need to focus on the percent.

Don's no. of shirts:

we know Don has 84 shirts so we say

3/4 of 84= no. of shirts that Don put in his closet

84/4=21 21x3=63

Don put 63 shirts in his closet.

Hope that helped! Anymore questions just ask! :)

3 0
3 years ago
At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Since then, the family ate 0.3 of the peanut
givi [52]

Answer:

B i think

Step-by-step explanation:

you are supposed to multiply the 80*.3 and that will give you 24 and subtract from 80 but im not sure

sorry if i got this wrong

4 0
3 years ago
Which of the following is not true about the standard error of a statistic?
aniked [119]

Answer:

Only option d is not true

Step-by-step explanation:

Given are four statements about standard errors and we have to find which is not true.

A. The standard error measures, roughly, the average difference between the statistic and the population parameter.

-- True because population parameter is mean and the statistic are the items.  Hence the differences average would be std error.

B. The standard error is the estimated standard deviation of the sampling distribution for the statistic.

-- True the sample statistic follows a distribution with standard error as std deviation

C. The standard error can never be a negative number. -- True because we consider only positive square root of variance as std error

D. The standard error increases as the sample size(s) increases

-- False.  Std error is inversely proportional to square root of n.  So when n  decreases std error increases

5 0
3 years ago
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