ANSWER
True
EXPLANATION
The given trigonometric equation is:

We take the LHS and simplify to arrive at the RHS.

Collect LCM on the right hand side to get;

This implies that



This identity has been verified .Therefore the correct answer is true.
Answer:
17/22
Step-by-step explanation:
8/11+1/2=16/22+11/22=17/22
Answer: 0.24 +/- 0.088 = (0.152, 0.328)
Step-by-step explanation:
The point estimate p is given by;
p= 24/ 100 = 0.24
Z value for 96% confidence interval is 2.05
The solution for the given confidence interval is derived using the equation
p +/- z√(pq/n)
Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05
= 0.24 +/- 2.05√(0.24×0.76/100)
= 0.24 +/- 2.05(0.0427)
=0.24 +/- 0.088
= ( 0.152, 0.328)
Answer:
45
Step-by-step explanation:
1/3 of 90
= 1/3 * 90
= 90/3
= 30
Let the missing number be x.
2/3 of x
= 2/3 * x
= 2x/3
30 = 2x/3
Cross multiply,
2x = 30 * 3
2x = 90
x = 90/2
x = 45
Hence,
the missing number is 45.
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
=
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4