Answer:
![15^{3}](https://tex.z-dn.net/?f=15%5E%7B3%7D)
Step-by-step explanation:
![15^{3} =(15)(15)(15)=3375](https://tex.z-dn.net/?f=15%5E%7B3%7D%20%3D%2815%29%2815%29%2815%29%3D3375)
Hope this helps
Answer:
2*3= 6cm
length of the new image is 6cm
Step-by-step explanation:
Answer:
17.75x + 5.25
165
x
9
Step-by-step explanation:
The total cost can be represented by 17.75x + 5.25, where x is the number of people.
They can only spend a maximum of $165, so a less than or equal sign has to be used.
The inequality will be 17.75x + 5.25
165
Now, solve for x:
17.75x + 5.25
165
17.75x
159.75
x
9
So, x
9 is the answer, meaning 9 people or less can go to the amusement park.
Answer: x = 4
Step-by-step explanation:
Here we have a piecewise function.
One piece works for values of x such that: -6 < x < 0
And the other piece works for values of x such that: 0 < x ≤ 4
Then the domain of this function is:
D = (-6, 0) U (0, 4]
Notice that, becuse we use the symbols ><, the values of x:
x = -6
x = 0
Do not belong to this domain.
While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.
Then for the given options, the only value that belongs to the domain is the third option, x = 4.
Answer:
43100
Step-by-step explanation:
A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?
Volume = length x width x height
or volume = area x height
Volume of the one- storey = 3700 x 8 = 29600 square feet
Volume of the second floor = 50 x 30 x 9 = 13500 square feet
volume of interior = 29600 + 13500 = 43100 square feet