D I think not sure tho but it might be
Answer:
x = -pi/2
Step-by-step explanation:
hello :
f(x)=sin x x⋲(-2pi,0)
the derivate for f is : f'(x) = cosx
f(x) achieve a minimum when : f'(x) =0
cosx = 0 genral solution is :
x = pi/2 +kpi .. k in Z
but : x⋲(-2pi,0) so : x = -pi/2.....(k = -1)
It's 2.5, 3, 5
Because the 2.5 is smaller than the 3, and the 5 is the greatest number out of those three numbers. :)
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
