The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
If you want to know the value of a function, you need to substitute the variable (here n) for the value:
so in the function
9(n+2)−5n
we substitute n with 14:
<span>9(14+2)−5*14
first calculate the inside of the bracket:
</span>
<span>9*16−5*14
9 times 16 is 144
144-5*14
5*14 is 70, so we have
144-70=74
so the answer should actually be 74!
Perhaps you mistyped the questions? can you check it again, please?
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I think it’s D sorry if you get this wrong I also have to do my work
Answer:
$90,200
Step-by-step explanation:
Airlines usually try to sell their all seats before they fly the airplane. They do wish to sell maximum available seats in order to maximize their revenue. If the airplane takes off with less occupancy then there is opportunity cost for the airline companies. There are 200 seats available to the current flight and they wishes to sell it completely. If they sell all the 200 seats at the price of $451 per seat then their total revenue will be $90,200.
Stephen is likely to qualify since his annual income is less than the median income of Texas.