Answer:
Step-by-step explanation:
In logarithmic functions, if we have an exponent say the in , we can "pull it down" from the power and multiply it next to the log.
<span>9(2x --8) =5x-7
</span>step 1: simplify 18x - 72 = 5x - 7
23x = -79
step 2: solve it x = -3.43
(a) The maximum height of the ball above the ground is 12.5 m and the time of motion is 1.43 s.
(b) The time taken for the ball to contact the other player at 0.5 m above the ground is 3.0 s.
<h3>Maximum height reached by the ball</h3>
The maximum height reached by the ball is calculated as follows.
At maximum height, the final velocity, v = 0
dh/dt = v = 0
dh/dt = -2(4.9)t + 14
0 = -9.8t + 14
9.8t = 14
t = 1.43 s
H(1.43) = -4.9(1.43)² + 14(1.43) + 2.5
H(1.43) = -10.02 + 20.02 + 2.5
H(1.43) = 12.5 m
<h3>Time to reach maximum height</h3>
12.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + 10 = 0
t = 1.43 s
<h3>Time for the ball to reach 0.5 m above the ground</h3>
0.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + - 2 = 0
t = 3.0 seconds
The complete question is below:
In a volleyball match Hanein serves the volleyball at 14 m/s, from a height of 2.5 m above the court. The height of the ball in flight is estimated using the equation, h = -4.9t² + 14t + 2.5, where t is the time in second and h is height above ground, in metres.
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Canceling units is also called unit analysis.
This is also called dimensional analysis.
What is a unit of analysis in statistics?
- The unit of analysis is the entity that you're analyzing. It's called this because it's your analysis (what you want to examine) that determines what this unit is, rather than the data itself.
- Because it is the analysis you do in your study that determines what the unit is.
- For instance, if you are comparing the children in two classrooms on achievement test scores, the unit is the individual child because you have a score for each child.
For example -
1 ft = 12 in
3 ft =
3 ft = ( 3 * 12 ) in ⇒ 36 in
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The area of the composite figure can be solved by separating the figure into 3 portions, which are 2 identical rectangles with one rectangle.
The image of the composite figure will be shown below
Let us sketch out the image of the two identical rectangles
The formula for the area(A) of a rectangle is,
where,
Therefore, the area(A1) of the two identical rectangles are
Let me sketch the second rectangle
Therefore, the area(A2) will be
Hence, the area(A) of the composite figure is
Therefore, the area is