Just put the numbers under one square root symbol and try to simplify.
Define
g = 9.8 32.2 ft/s², the acceleration due to gravity.
Refer to the diagram shown below.
The initial height at 123 feet above ground is the reference position. Therefore the ground is at a height of - 123 ft, measured upward.
Because the initial upward velocity is - 11 ft/s, the height at time t seconds is
h(t) = -11t - (1/2)gt²
or
h(t) = -11t - 16.1t²
When the ball hits the ground, h = -123.
Therefore
-11t - 16.1t² = -123
11t + 16.1t² = 123
16.1t² + 11t - 123 = 0
t² + 0.6832t - 7.64 = 0
Solve with the quadratic formula.
t = (1/2) [-0.6832 +/- √(0.4668 + 30.56) ] = 2.4435 or -3.1267 s
Reject the negative answer.
The ball strikes the ground after 2.44 seconds.
Answer: 2.44 s
Answer:
25 meters.
Step-by-step explanation:
Given in the question that,
Initial depth of the submarine = 8 meters
After the order of the captain, the submarine was made to dive another 17 meters.
So, the final cruising depth of the submarine can be calculated by <u>adding the initial depth of the submarine and the depth further increased upon the order of the captain</u>.
Thus, final cruising depth of the submarine = 8 + 17 = 25 meters.
Answer:
The value of x is 66.
Step-by-step explanation:
The median of a data set is the term that separates the lower half of the set from the upper half.
In a set with even cardinality, the median is given by the mean of it's two middle terms.
In this question:
Cardinality: 8
Middle terms: 4th and 5th, which are x - 5 and x + 1.
The median is 64.
This means that:





The value of x is 66.
Answer:
3/8 = 0.375
Step-by-step explanation:
Substitute the values of b and c
2+1/8-7/4
16/8 + 1/8 - 14/8= 3/8