Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
Answer:
6
Step-by-step explanation:
9 ^3 =3^m
(3^2) ^3 =3^m
3 ^(2×3)=3^m
3 ^6 =3 ^m
m =6
Well, since we know $3.65 is how much ONE PACK of pencil costs, and k represents the packs of pencils PURCHASED, and x represents the COST per pack, your answer would be A. x = 3.65k. This is because to find out the total cost (x) of k amount of packs, you would multiply the cost (3.65) times k, (known as 3.65k), which would be expressed as x = 3.65k. =)
Hope I helped! ^-^
To find the slope, use the slope(m) formula:
and plug in the two points
(0, 5) = (x₁, y₁)
(-9, -4) = (x₂, y₂)
[two negatives cancel each other out and become positive]
m = 1 The slope is 1
Answer:
10. 1/9
11. 1 1/6
12. 1/8
Step-by-step explanation:
10.
He spent 2/3 of 1/6 of the day.
In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.
2/3 * 1/6 = 2/18 = 1/9
He spent 1/9 of the day adding mulch.
11.
He spent 2/3 of 1 3/4 hours.
In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.
2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6
He spent 1 1/6 hours working on the project.
12.
She planted 1/6 of 3/4 of the area.
In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.
1/6 * 3/4 = 3/24 = 1/8
She planted carrots in 1/8 of the garden.
