9514 1404 393
Answer:
{2.96, 12.66}
Step-by-step explanation:
A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.
__
You can solve the equation h = 600 to find the times.
-16t^2 +250t = 600
-16(t^2 -15.625t) = 600
-16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)
-16(t -7.8125)² = -376.5625
t -7.8125 = √(376.5625/16) ≈ ±4.8513
t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}
The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.
Answer:
kiwis = $1.5
mangoes = $2.25
Step-by-step explanation:
Two equations can be derived from the question
2m + 3k = 9 equation 1
5m + 2k = 14.25 equation 2
m = mangoes
k = kiwis
multiply equation 1 by 5 and 2 by 2
10m + 15k = 45 equation 3
10m +4k = 28.5 equation 4
Subtract equation 4 from 3
11k = 16.5
k = 1.5
Substitute for k in equation 1
2m + 3(1.5) = 9
2m + 4.5 = 9
2m = 4.5
m = 2.25
Answer:
-3.5 or -7/2
Step-by-step explanation:
<em> Given that:</em> 100 copies = $3.10
<em>Find cost of 1 copy:</em>
1 copy = $3.10 ÷ 100 = $0.031
<em>Find the cost of 155 copies: </em>
155 copies = $0.031 x 155 = $4.81 (nearest hundredth)
Answer: $4.81
Answer:
approximately 13.9 inches
Step-by-step explanation:
That's 8√6, not 8V7.
The four sides are of the same length (x). According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or
2x² = 64(6) = 384
Dividing both sides by 2, we get:
x² = 192, or x² = 4(48). Then the side length is x = √16√12, or
x = 4√4√3 = 8√3. This is approximately 13.9 inches.
