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Semmy [17]
3 years ago
5

30 POINTS!!! NEED HELP!!!!

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

\Sigma_{k=1}^{16} (k - 5)^2 \\= (1- 5)^2 +  (2- 5)^2 +  (3- 5)^2 + \\ (4- 5)^2 +  (5- 5)^2 +  (6- 5)^2 \\+  (7- 5)^2 +  (8- 5)^2 +  (9- 5)^2 \\+  (10- 5)^2 +  (11- 5)^2 +  (12- 5)^2 \\+  (13- 5)^2 +  (14- 5)^2 +  (15- 5)^2\\ +  (16- 5)^2 \\\\=(-4)^2 +  (-3)^2 +  (-2)^2 +  (-1)^2 +  (0)^2 \\+  (1)^2 +  (2)^2 +  (3)^2 +  (4)^2 +  (5)^2 \\+  (6)^2 +  (7)^2 +  (8)^2 +  (9)^2 +  (10)^2 + \\ (11)^2 \\\\=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121

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The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 180 cubic inches unde
fiasKO [112]

Answer:

100cubic inches

Step-by-step explanation:

varies inversely

pv = k

Find the constant of variation:

volume of 180 cubic inches under a pressure of 5 pounds

5 * 180 = k

k = 900

volume if the pressure is increased to 9 pounds per square inch?

9v = 900

divide both sides by 9

v = 100

3 0
3 years ago
Help!!!! Please just number 11 worth 90 points!!!!!
timurjin [86]

Answer:

6.75 hrs are missing

Step-by-step explanation:

First, change all fractions into decimals:

8 = 8

7 1/4 = 7 + 0.25 = 7.25

8 1/2 = 8 + 0.50 = 8.50

Next, add all numbers gotten together:

8 + 7.25 + 8.50 = 23.75

Subtract the number gotten from the total

30.5 - 23.75 = 6.75

~


3 0
3 years ago
Read 2 more answers
For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
iragen [17]

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

4 0
3 years ago
Compare square root of one hundred eighty and one hundred two eighths using <, >, or =.
olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

  • a is the integer part.
  • b/c is the fractional part.

In this problem, the numbers are given as follows:

\sqrt{180}, \sqrt{100 \frac{2}{8}}

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

6 0
2 years ago
If i went to a club at 10 am and there was different activities for the time of 30 , 20 , 20 ,45 , 40 , 15 ,15, 30 mins and 1 ho
pav-90 [236]
It finished 2:35pm . this is the answer check it out
5 0
3 years ago
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