<span>2x + x = 12
=> x =12/3 =4
so, original number is 84. </span>
Ok, so remember that the derivitive of the position function is the velocty function and the derivitive of the velocity function is the accceleration function
x(t) is the positon function
so just take the derivitive of 3t/π +cos(t) twice
first derivitive is 3/π-sin(t)
2nd derivitive is -cos(t)
a(t)=-cos(t)
on the interval [π/2,5π/2) where does -cos(t)=1? or where does cos(t)=-1?
at t=π
so now plug that in for t in the position function to find the position at time t=π
x(π)=3(π)/π+cos(π)
x(π)=3-1
x(π)=2
so the position is 2
ok, that graph is the first derivitive of f(x)
the function f(x) is increaseing when the slope is positive
it is concave up when the 2nd derivitive of f(x) is positive
we are given f'(x), the derivitive of f(x)
we want to find where it is increasing AND where it is concave down
it is increasing when the derivitive is positive, so just find where the graph is positive (that's about from -2 to 4)
it is concave down when the second derivitive (aka derivitive of the first derivitive aka slope of the first derivitive) is negative
where is the slope negative?
from about x=0 to x=2
and that's in our range of being increasing
so the interval is (0,2)
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
1 is D, an angle bisector only cuts the original angle in half.
2 is
9x - 18 = 3x
6x - 18 = 0
6x = 18
x = 3
3 is 9(3) - 18 = 27 - 18 = 9
Answer:
c. 50kg = 50,000g
Step-by-step explanation:
We have to solve these following rule of three to see which of the following is a correct conversion of 50kg.
a)
Each kg has 1000g
So
1kg - 1000g
50kg - xg
x = 50*1000
x = 50,000g
Conversion a) is wrong
b)
Each kg has 1000000mg
So
1kg - 1000000g
50kg - x mg
x = 50*1000000
x = 50,000,000 mg
Conversion b) is wrong
c)
In a), we have already converted 50kg to g. We have verified that 50kg = 50,000g. So c. is correct
d)
In b), we have already converrted 50kg to mg. We have verified that 50kg = 50,000,000g. So d. is wrong
