With what initial velocity must an object be thrown upwards so that it will reach a maximum height of 800 feet? Assume the that
1 answer:
Answer:
Option b is right.
Step-by-step explanation:
When an object is thrown upwards, the acceleration acting is acceleration due to gravity in a negative manner.
a = -32 ft/sec square
Initial velocity let it be u
Final velocity when it reaches maximum height is 0
Use the formula connecting, u, v, a and s
ft/sec
Hence we find that initial velocity is 226 ft/sec
Option b is right.
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Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
x = 4, y = 9
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
x = 9, y = 16
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
x = 5, y = 15
x = 6, y = 18
This shows a proportional relationship because all values of k are the same for this table
So since its a right triangle, we can use the pythagorean theorem, which is . Since we know that 2 and 3 are our legs and x is our hypotenuse, we can solve the equation as such:
Since √13 can't be further simplified, that is your final answer.
Answer:
Step-by-step explanation:
Let
x -----> the number of days
y ----> the total cost in dollars,
we know that
The equation of a linear function in slope intercept form is equal to
where
m is the slope o rate of the linear equation
b is the y-coordinate of the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
In this problem we have
The slope is equal to the rental cost per day
so
When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)
The y-intercept is the point (0,40)
so
substitute the values