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olasank [31]
4 years ago
11

A water balloon is catapulted into the air so that it's height, in meters, after t seconds is h = -4.9t^ +27t +2.4

Mathematics
1 answer:
zysi [14]4 years ago
6 0
h = -4..9t^2+27t+2.4\ for\ t=3

Just replace t with 3 and solve.

h = -4.9*3^2 + 27*3 + 2.4 \\ h = -4.9*9 + 27*3 + 2.4 \\ h=-44.1 + 81 + 2.4 \\ \boxed{h=39.3}
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The volume of a prism is 918 yd3. What is the volume of this prism, measured in feet cubed?
allochka39001 [22]
Volume of a prism= 24,786 ft³
5 0
3 years ago
Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs
Korolek [52]

Answer:

30-8p

Step-by-step explanation:

Let p represent cost of each drink.

We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be 2p.

We are also told that the large pizza costs three times as much as one drink,  so the cost of la pizza would be 3p.

We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.

Since the cost of one drink is p, so cost of 3 three drinks would be 3p.

The total cost of one large pizza, one medium pizza, and three drinks would be 2p+3p+3p=8p

Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.

30-8p

Therefore, Mary will have 30-8p dollars left after making all of her purchases.

4 0
3 years ago
If y varies directly with x, and y = 2 when x = −4, what is the value of y when x = 20
Klio2033 [76]

Answer:

y = - 10

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = - 4, that is

2 = - 4k ( divide both sides by - 4 )

= k, that is

k = -  

y = -  x ← equation of variation

When x = 20, then

y = -  × 20 = - 10

3 0
3 years ago
-7x-3x+2=-8x-2 can you please show your work how
iVinArrow [24]

Answer:

x = 2

Step-by-step explanation:

Given

- 7x - 3x + 2 = - 8x - 2 ← simplify left side

- 10x + 2 = - 8x - 2 ( add 8x to both sides )

- 2x + 2 = - 2 ( subtract 2 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

8 0
3 years ago
In March Tom had -£165 in his bank account. In April he had -£156. In which month did he have the least amount of money in his a
Flura [38]
March = -165
April = -156

In march he is negative MORE money, meaning he has MORE money in April

This question is trying to confuse you, ussually the lowest number means less, but these numbers are negative, so the lowest number means more.
He has the least amount of money in March


5 0
3 years ago
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