Answer:
2.54 seconds
Step-by-step explanation:
We can use the following equation to model the vertical position of the ball:
S = So + Vo*t + a*t^2/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
Then, using S = 2.5, So = 0.4, Vo = 14 and a = -9.8 m/s2, we have that:
2.5 = 0.4 + 14*t - 4.9t^2
4.9t^2 - 14t + 2.1 = 0
Solving this quadratic equation, we have that t1 = 2.6983 s and t2 = 0.1588 s.
Between these times, the ball will be higher than 2.5 m, so the amount of time the ball will be higher than 2.5 m is:
t1 - t2 = 2.6983 - 0.1588 = 2.54 seconds
Answer:
Question is not fully addressed
Step-by-step explanation:
Please put the full question otherwise, i cannot answer it
Answer:
y=
x-6.5
Step-by-step explanation:
=
= 
y=mx+b
-8 = (
) (-6) +b
-8 = -
+b
b= -6.5
Answer:
bet I will
Step-by-step explanation:
The shopkeeper spends 2x + 21 dollars on electricity
The amount the shopkeeper spends on electricity less than $100 is:
x < 39.5
<h3>What is a linear inequality?</h3>
Linear inequality explains the range of values that a variable represents.
Total amount spent by the shopkeeper = 7x + 19
Amount spent on rent = 5x - 2
Total amount spent = Amount spent on rent + Amount spent on electricity
(7x + 19) = (5x - 2 ) + Amount spent on electricity
Amount spent on electricity = (7x + 19) - (5x - 2)
Amount spent on electricity = 7x - 5x + 19 + 2
Amount spent on electricity = 2x + 21
For which value(s) of x is the amount the shopkeeper spends on electricity less than $100?
Amount spent on electricity < 100
2x + 21 < 100
2x < 100 - 21
2x < 79
x < 79/2
x < 39.5
Learn more on linear inequalities here: brainly.com/question/11613554