Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:
On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;
Simplify:
= -2.5 sec and = 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec
Hello!
The formula for percentage increase is:
Percent Increase = {( New Value - Old Value) / Old Value × 100}
Substitute = {( 566.60 - 550) / 550 × 100]
Solve:
566.60 - 550 = 16.6
16.6 / 550 = 0.0301818182
0.0301818182 × 100 = 3.0181818182
You may round that to 3.1%
So, Mr. Dawkins' salary increased by about 3.1%
Answer:
f-1(x) = (x - 16)/40
B
Step-by-step explanation:
Call f(x) = y
Interchange x and y
x = (5y + 2)*8 Remove the brackets
x = 40y + 16 Subtract 16 from both sides
x - 16 = 40y Interchange the left and right sides
40y = x - 16 Divide by 40
y = (x - 16)/40
f-1(x) = (x - 16)/40
Answer:
It will take 25.6 years for the mass of the sample to reach 400 grams.
Step-by-step explanation:
Element X is a radioactive isotope such that every 25 years, its mass decreases by half.
This means that the amount of the substance after t years can be modeled by a function in the following format:
In which A(0) is the initial amount.
Initial mass of a sample of Element X is 910 grams.
This means that
So
How long would it be until the mass of the sample reached 400 grams?
This is t for which
So
It will take 25.6 years for the mass of the sample to reach 400 grams.