Answer:
c. ½x + 4 = 12; x = 16
Step-by-step explanation:
1/2 x ( Half of the allowance spent at movies & x is allowance )
1/2x + 4 ( Earned additional $4 )
1/2x + 4 = 12 ( Had $12 at the end of the week )
Check:
1/2 16 +4 = 12
8 + 4 = 12
12 = 12
Correct!
Answer: (choice B)
The y intercept is 1 as this is where the graph crosses the y axis. So b = 1
The slope is m = 2/3 because we go up 2 for each time we move 3 units to the right. Example: moving from (0,1) to (3,3)
That means y = mx+b turns into
This looks like choice B is the closest match though the formatting you posted is a bit jumbled.
Here's link to the answer:
tinyurl.com/wpazsebu
Answer:
29.9
Step-by-step explanation:
29.9 rounded to the nearest 10 is 30
Answer:
The second time when Luiza reaches a height of 1.2 m = 2 08 s
Step-by-step explanation:
Complete Question
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.
H(t) = -0.6 cos (2pi/2.5)t + 1.5.
What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.
Solution
Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as
H(t) = -0.6cos(2π/2.5)t + 1.5
What is t when H = 1.2 m
1.2 = -0.6cos(2π/2.5)t + 1.5
0.6cos(2π/2.5)t = 1.2 - 1.5 = -0.3
Cos (2π/2.5)t = (0.3/0.6) = 0.5
Note that in radians,
Cos (π/3) = 0.5
This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,
Cos (5π/3) = 0.5
So,
Cos (2π/2.5)t = Cos (5π/3)
(2π/2.5)t = (5π/3)
(2/2.5) × t = (5/3)
t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.
Hope this Helps!!!