Answer:
time taken = 2.74 seconds
Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground
We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t²
110 = 16t²
t² = 110/16
t² = 6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative
Hope this helps :)
Answer:
MQ=14
Step-by-step explanation:
The two triangles are similar
So the equation is
12/72=x/12
1/6=x/12
x=2
B. 68
I use the formula A= bh/2 it’s the same thing
8x17 = 136
136/2 = 68
The depth of the joist that was drilled by Freddy is 5 1/3 inches.
From the information given, we are informed that Freddy drilled into a piece of wood and a joist to attach them and that be drilled 4 inches and the wood was 1 1/3 inches thick.
Therefore, to get the depth that was drilled, we'll need to add the fractions given together. This will be:
= 4 + 1 1/3
= 5 1/3 inches.
Therefore, the depth of the joist that was drilled by Freddy is 5 1/3 inches.
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Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
