The answer is the second option.
To find the answer quickly, fist look at the signs associated with the terms. The is a negative sign with the B and C in the original equation, and the second option is the only one that follows that.
You use 6 as the C since that is a shared value when multiplying 2 and 3, so 1/2 becomes 2 and 1/3 becomes 3.
Answer:
5
Step-by-step explanation:
The nth term of a geometric series is:
a_n = a₁ (r)^(n-1)
where a₁ is the first term and r is the common ratio.
Here, we have:
40 = a₁ (r)^(4-1)
160 = a₁ (r)^(6-1)
40 = a₁ (r)^3
160 = a₁ (r)^5
If we divide the two equations:
4 = r^2
r = 2
Now substitute into either equation to find a₁:
40 = a₁ (2)^3
40 = 8 a₁
a₁ = 5
The trigonometry ratio that we shall use to solve the question will be:
tan θ=opposite/adjacent
where:
opposite=8.9 cm
adjacent =x cm
θ=55°
plugging the values and simplifying we obtain:
tan 55=8.9/x
thus
x=8.9/tan55
x=6.23 cm~6.2 cm
Answer: A
Solution for the given fractions
7/9 + 2/3 = ?
The common denominator of the two fractions is: 9
7/9 = (1*7)/(1*9) = 7/9
2/3 = (2*3)/(3*3) = 6/9
Fractions adjusted to a common denominator
7/9 + 2/3 = 7/9 + 6/9
(6+7)/9 = 13/9
Answer:
2 m/s
Step-by-step explanation:
Given the graph of the baseball thrown into air.
John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.
The height of the baseball (in metres) is modeled by the function graph with respect to time.
To find:
The average rate of change of height of the ball from the point the ball is thrown to the maximum height.
Solution:
Here, the average rate of change can be found by dividing the distance between the two points with the change in time.
The starting time is 0 seconds.
The starting height is 3 metres.
The ending time is 2 seconds i.e. at which the ball reaches the maximum height.
The height is 7 metres.
Therefore, the average rate of change is:
