Answer:
36 m^2
Step-by-step explanation:
the formula for the area of a triangle is 1/2•b•h
so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2
The time taken for the golf ball to reach the ground is 1 s.
<h3>
Motion of the golf ball</h3>
The path of motion of the golf ball can be described as parabolic because it is projectile.
When the golf ball reaches the ground, the final velocity will be zero.
Velocity of the golf ball is change in height with time.
v = dh/dt
h(t) = -16t² + 32t + 128
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 1 s
Thus, the time taken for the golf ball to reach the ground is 1 s.
Learn more about time of motion here: brainly.com/question/2364404
Answer:
- It is a function
- Domain: {-4, -2, 1, 5}
- Range: {-9, -7, -4, 5}
Step-by-step explanation:
A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).
The system of inequalities is x+y≥250 and 3x+2y≤800.
Step-by-step explanation:
Given,
People to invite = at least 250
At least 250 means that the number can increase from 250.
Cups to be provided = only 800
It means the number cannot exceed 800.
Number of adults = A
Number of children = C
According to given statement;
x+y≥250
3x+2y≤800
The system of inequalities is x+y≥250 and 3x+2y≤800.
Keywords: linear inequalities, addition
Learn more about linear inequalities at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
Hypothesis test about a population mean is done to evaluate two exclusive statements about a population in order to determine which is best supported by the sample data.
From the situations given, the correct options are
b. A recent study estimated that 20% of all college students in the United States smoke. The head of Health Services at Goodheart University suspects that the proportion of smokers may be lower there. This would require taking a sample and determining the probability of success.
c. A certain prescription allergy medicine is suppose to contain an average of 245 parts per million (ppm) of active ingredient. The manufacturer wants to check whether the mean concentration in a large shipment of pills is 245 ppm or not.
d. A report on the College Board website stated that in 2003 males scored generally higher than females on the SAT exam. An educational researcher wants to check whether this is true in her school district.
