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Answer:
(a) $2,375.
(b) $2,875.
Step-by-step explanation:
We have been general admission to The American Museum of Natural History is $19.
(a). To find the total cost of tickets for a group of 125 students, we will multiply 125 by $19.
Therefore, the total cost of 125 tickets would be $2,375.
(b). We have been given that the group also purchases IMAX movie tickets for an additional $4 per student.
The total cost of one ticket would be the cost of museum ticket plus movie ticket that is .
The new total cost of 125 tickets would be 125 times $23.
Therefore, the new total cost of 125 tickets would be $2,875.
Answer:
C, E
Step-by-step explanation:
As a rule, these ballistic motion equations are only applicable for heights above the final resting place. Usually, that is the ground (h=0). Time is always measured as a non-negative quantity beginning at the time of launch.
The function is meaningless after the time the object comes to rest on the ground, so the domain of the function extends from 0 until that time.
These considerations allow us to evaluate the offered statements.
A. The domain never includes negative values. (A is not a true statement)
B. The heights are the same at times that are symmetrical around the time of the maximum height. Here, that time is about 1.9 seconds, not 1.5 seconds, so the heights will be different at 1 and 2 seconds after launch. (B is not a true statement)
C. The graph of the function shows the height reaches 0 at about 4.06 seconds, a little after 4 seconds. (C is true)
D. Based on our answer to C, we know t=10 is outside the domain of the function. (D is not a true statement)
E. The value of the function is 20 when t=0, so the function tells us the orange is 20 feet above the ground when it is launched. (E is true)
The true statements are C and E.
Answer:
Table shown below
Step-by-step explanation:
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds
