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3 years ago

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 $b=0$ .