The direct variation equation is:
d=kt
where d is the distance that the giraffe travels
k is the constant of variation
and t is time
Now we are told that the giraffe can travel 800 ft in 20 seconds, so we can solve for the constant of variation (k)
800=k(20) divide both sides by 20
k=40-------------and the units are ft per sec
So now we can write
d=40t
ck
d=40t
800ft=40*20 ft
800 ft= 800 ft
Hope this helps!
- The number of vertical pieces will be 28. Then the correct option is A.
- The number of horizontal pieces will be 600. Then the correct option is B.
<h3>What is decision-making?</h3>
The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Horizontal pieces can be produced at a rate of 200 per labor hour.
A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.
You have 900 horizontal pieces and 50 vertical pieces in stock right now.
For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.
1. Then at the end of the next hour, the number of vertical pieces available in stock will be
→ 50 - 22
→ 28
Thus, the number of verticle pieces will be 28.
2. Then at the end of the next hour, then the number of horizontal pieces available in stock will be
→ 900 + 200 - 500
→ 600
More about the decision-making link is given below.
brainly.com/question/3369578
#SPJ1
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
- <u>f(t) = -7.561(t + 1.15)(t - 2.53)</u>
Explanation:
The<em> hint </em>is that the function f can be written in the form:
- f(t) = c (t - t₁) (t - t₂)
It is a quadratic function, i.e. a parabola.
The maximum point, maximum height, of a parabola is its vertex.
And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.
The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).
The other x-intercept is sucht that (x + 2.53) / 2 = 0.69
- (x + 2.53) / 2 = 0.69
- x + 2.53 = 1.38
- x = 1.38 - 2.53
- x = -1.15
Thus, the equation is:
- f(t) = c(t + 1.15) (t - 2.53).
You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:
- f(0) = 22 = c (0 +1.15)(0 - 2.53)
- 22 = c(1.15)(-2.53)
- 22 = c (-2.9095)
- c = - 22/(2.9095)
- c = - 7.561
Then, the function can be written as:
- f(t) = -7.561(t + 1.15) (t - 2.53) ← answer
