Answer:
The answer rounded to the nearest whole number is 1729
Step-by-step explanation:
Set it up like this: Percent in fraction form = x over total
So: 34/100 = x/5086
You then multiply: 34 x 5086 = 172924
Then divided that number by 100: 172924 divided by 100 = 1729.24
Then round the number to the nearest whole number: 1729
Hope this helps good luck!
Answer:
1 35/72
Step-by-step explanation:
Answer:
-24a^3b^7
Step-by-step explanation:
(3a^2b^4)(-8ab^3) Original equation
-24a^3b^7 You have to multiply the coefficients, but because of
the power rule, you have to add the exponents with each other.
Hope this helps!
Answer:
- h = -16t^2 + 73t + 5
- h = -16t^2 + 5
- h = -4.9t^2 + 73t + 1.5
- h = -4.9t^2 + 1.5
Step-by-step explanation:
The general equation we use for ballistic motion is ...

where g is the acceleration due to gravity, v₀ is the initial upward velocity, and h₀ is the initial height.
The values of g commonly used are -32 ft/s², or -4.9 m/s². Units are consistent when the former is used with velocity in ft/s and height in feet. The latter is used when velocity is in m/s, and height is in meters.
_____
Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. (h = -16t^2 + 73t + 5)
A watermelon falls from a height of 5 feet to splatter on the ground below. (h = -16t^2 + 5)
Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. (h = -4.9t^2 + 73t + 1.5)
Greg drops a life raft off the side of a boat 1.5 meters above the water. (h = -4.9t^2 + 1.5)
_____
<em>Additional comment on these scenarios</em>
The dart and ball are described as being launched at 73 units per second. Generally, we expect launches of these kinds of objects to have a significant horizontal component. However, these equations are only for <em>vertical</em> motion, so we must assume the launches are <em>straight up</em> (or that the up-directed component of motion is 73 units/second).
Answer:
see explanation
Step-by-step explanation:
Given D(3, 2 ) → D'(2, 4 )
The x- coordinate of D' is 1 less than D and the y- coordinate of D' is 2 more than D, thus the translation rule is
(x, y ) → (x - 1, y + 2 )
Apply this rule to points O and G
O( 2, - 4 ) → O'(2 - 1, - 4 + 2 ) → O'(1, - 2 )
G(- 1, - 1 ) → G'(- 1 - 1, - 1 + 2 ) → G'(- 2, 1 )