The impulse delivered to the baseball is 140kgm/s.
Option B) 140 kg • meters per second is the correct answer.
<h3>What is Impulse?</h3>
An impulse is simply a concept that involves the change in the momentum of an object when force is introduced for a period of time.
It is expressed as;
ΔP or Change in Momentum = F × t
Where F is force applied and t is the elapsed time.
Given that;
- Mass of baseball m = 0.25kg
- Time of contact t = 0.0075s
- Force exerted F = 18500N = 18500kgm/s²
We substitute our given values into the expression above to determine the impulse.
ΔP = F × t
ΔP = 18500kgm/s² × 0.0075s
ΔP = 18500kgm/s² × 0.0075s
ΔP = 138.75kgm/s = 140kgm/s
Therefore, the impulse delivered to the baseball is 140kgm/s.
Option B) 140 kg • meters per second is the correct answer.
Learn more about Impulse here: brainly.com/question/13906369
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You would throw a baseball 9 feet and your friend would catch the baseball. Hope this helps!
4d-5(d-1)= 3-d+2
Distributed property
4d-5d+5+d=5
Simplify
-d+d+5=5
Solve
5=5
Since 5=5, the equation will always be true for any value of
d.All real numbers
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
<h3>How many children went to the movie theatre?</h3>
In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.
We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:
x - 4 · y = 0 (1)
6.30 · x + 9.50 · y = 1063.20 (2)
By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.
According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.
To learn on systems of linear equations: brainly.com/question/27664510
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Answer:
0.6443 = 64.43% of the business travelers will have to stoop
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Each feet is 12 inches
So
5'9'' = 5*12 + 9 = 69
5'10'' = 5*12 + 10 = 70
What percentage of the business travelers will have to stoop?
This is 1 subtracted by the pvalue of Z when X = 69. So
has a pvalue of 0.3557.
1 - 0.3557 = 0.6443
0.6443 = 64.43% of the business travelers will have to stoop