Answer: The equation shall be
8 = 4W
Step-by-step explanation: The perimeter has been given as 46 feet, whereas the length and the width are not yet given. But the clue we have states that “the length is 19 feet longer than the width,” which means, if the width is W then the length shall be 19 plus W. We can express the dimensions as;
Length = 19 + W
Width = W
We can now express the perimeter as follows;
Perimeter = 2(L + W)
46 = 2(19 + W + W)
46 = 2(19 + 2W)
46 = 38 + 4W
Subtract 38 from both sides of the equation
8 = 4W
Density = mass/volume
Volume = length x width x height
Volume = 2.5 x 2.5 x 2.5
= 15.625 cm^3
Density = 295/15.625
= 18.88 g/cm^3
Answer:
10000
Step-by-step explanation:
What is 10 to the 6th power? That would be 1000000. 10 to the second power is 100.
1000000
100
There are 4 zeros left. Meaning that the answer is 10000.
The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10
Answer:
74
Step-by-step explanation:
You just have to substitute r with 5.
Now, the equation looks like this:

Next, solve
first according to PEMDAS
And
equals 75
![\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%265%5C%5C5%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B75%7D)
Lastly, do
which equals 74
![\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%265%5C%5C-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B74%7D)
Therefore, 74 is your answer.