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3 years ago

WILL GIVE BRAINLIEST IF CORRECT! 25 PTS

Mathematics

2 answers:

Semenov [28]3 years ago

5 0

Answer:45x-5 is the answer

Step-by-step explanation:

(4,1) and 5,5 add them both

blondinia [14]3 years ago

5 0

Answer:

B.) The graph is a line that goes through the points (1,4) and (2,8).

Step-by-step explanation:

1.) (4) + 4 = 4((1) +1)

2.) 8 = 4 + 4

3.) 8 = 8 --> Correct

4.) (8) + 4 = 4((2) + 1)

5.) 12 = 8 + 4

6.) 12 = 12 --> Correct

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Use the summation formulas to rewrite the expression without the summation notation. summation_k = 1^n 12k(k - 1) / n^3 Use the

kvasek [131]

Answer:

$Sum=4*[\frac{n^2-1}{n^2}]$

For n=10:

Sum=3.96

For n=100:

Sum=3.9996

For n=1000:

Sum=3.999996

For n= 10000:

Sum=3.99999996

Step-by-step explanation:

Formula:

$\sum_{k=1}^n \frac{12k(k-1)}{n^3}$

Rearranging the above formula:

$\sum_{k=1}^n \frac{12}{n^3}*k(k-1)\\\sum_{k=1}^n \frac{12}{n^3}*(k^2-k)$ Eq (1)

According to summation formula:

$\sum_{k=1}^n\ k= \frac{n(n+1)}{2}\\ \sum_{k=1}^n\ k^2= \frac{n(n+1)(2n+1)}{6}\\$

Putt these in Eq (1), and we will get:

$=\frac{12}{n^3}[\frac{n(n+1)(2n+1)}{6}-\frac{n(n+1)}{2}]\\Taking\ n\ as\ common\\=n*\frac{12}{n^3}[\frac{(n+1)(2n+1)}{6}-\frac{(n+1)}{2}] \\=\frac{12}{n^2}*[\frac{(n+1)(2n+1)}{6}]-\frac{12}{n^2}*[\frac{(n+1)}{2}] \\=\frac{2*(n+1)(2n+1)}{n^2}-\frac{6(n+1)}{n^2}\\$

Taking $2(n+1)$ as common:

$=2(n+1)*\frac{2n+1-3}{n^2} \\=(2n+2)*\frac{2n-2}{n^2}\\=\frac{4n^2-4}{n^2}$

After more simplifying,

$Sum=4*[\frac{n^2-1}{n^2}]$

Now ,for n=10:

$Sum=4[\frac{(10^{2})-1}{10^{2}}]\\Sum=3.96$

For n=100:

$Sum=4[\frac{(100^{2})-1}{100^{2}}]\\Sum=3.9996$

For n=1000

$Sum=4[\frac{(1000^{2})-1}{1000^{2}}]\\Sum=3.999996$

For n=10000:

$Sum=4[\frac{(10000^{2})-1}{10000^{2}}]\\Sum=3.99999996$

4 0

3 years ago

Ken built a square fence around his yard. He planted 5 trees on each side of the fence. What is the least number of trees Ken pl

Burka [1]

Answer:

Step-by-step explanation:

5*2=10*4=40

4 0

2 years ago

The time it takes for climbers to reach the highest point of a mountain is normally distributed with a standard deviation of 0.7

blondinia [14]

The best approach to this is to use the formular
Standard error = standard deviation / sqrt( sample size)
standard deviation = 0.75 hours
sample size = 35
Hence, Standard error = 0.75 /sqrt(35) = 0.126 = 0.13

6 0

3 years ago

Read 2 more answers

The table shows the number of cups of flour, f, that a bakery needs for the number of pound cakes that they make, p. 3 6 9 14 Po

Mumz [18]

Ok.

3 8.25

6 16.5

9 24.75

8.25/3=2.75

14*2.75=

4 0