Answer:
300- 3e2
106,000 = 1.06e5
0.0000397= 3.97e-5
4,356,000= 4.356e6
0.0157= 1.57e-2
Step-by-step explanation:
Jxjsjdnxncbbdnxbdhdhxhxhhxjdj hello this is my mom phone
f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x
The probability of “landing” in the shaded region to the nearest hundredth is equal to 0.79 or 79.0%.
<h3>How to determine the
probability?</h3>
First of all, we would determine the area of the given geometric shapes.
For the square, we have:
Mathematically, the area of a square can be calculated by using this formula;
Area = x²
Area = 50²
Area = 2500 ft².
For the circle, we have:
Mathematically, the area of a circle can be calculated by using this formula;
Area = πd²/4
Area = (3.142 × 50²)/4
Area = 1,963.75 ft².
Now, we can determine the probability as follows:
Probability = 1963.75/2500
Probability = 0.79 or 79.0%.
<h3>When the side length is 40 ft.</h3>
Area = x²
Area = 40²
Area = 1600 ft².
For the circle, we have:
Area = πd²/4
Area = (3.142 × 40²)/4
Area = 1256.8 ft².
Probability = 1256.8/1600
Probability = 0.79 or 79.0%.
Read more on probability here: brainly.com/question/24441555
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