Part A:
To determine the values of the times to which the height of the two cannon balls are the same, we equate the given functions.
H(t) = g(t)
Substitute the expressions for each.
-16t² + 48t + 12 = 10 + 15.2t
Transpose all the terms to the left-hand side of the equation.
-16t² + (48 - 15.2)t + (12 - 10) = 0
Simplifying,
-16t² + 32.8t + 2 = 0
The values of t from the equation are 2.11 seconds and -0.059 seconds
Part B:
In the context of the problem, only 2.11 seconds is acceptable. This is because the second value of t which is equal to -0.059 seconds is not possible since there is no negative value for time.
Answer:
A=16000 B=16400
Step-by-step explanation:
1. You multiply 20,000 by .2 or 20%, because you are trying to find a part of the 20,000.
2. You get 4,000 dollars, that is 20% of 20,000. To find the sale price, you take the 20% away from 20,000, which would be 16,000 dollars. That would be your answer for the first part.
3. the sales tax is 2.5% of the sale price. Again, you multiply 16,000 dollars, your sales price, by .025 or 2.5%.
4. you would get 400 dollars. You add the 2.5% or 400 dollars because you have to pay the tax as well as the price. You would get 16,400 dollars.
Answer:
It would be $ 8.25 without the tax.
Step-by-step explanation:
If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax
It is unclear what you want to do, but in the case where they give you the length and the width, it is most likely they are asking for either area or perimeter. For Area, it is length times width.
A = l x w
A = 60 yards x 50 yards
A = 3000 square yards.
For Perimeter of the rectangle, it is 2 of the lengths plus 2 of the widths.
P = 2 ( 60 yards ) + 2 ( 50 yards )
P = 120 yards + 100 yards
P = 220 yards
I hope this helps :-)
4·9 = 9x = 1/4
(36 = 9x = 1/4) ·4
144 = 36x
144/36 = x
x = 4
