Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or the y-intercept
b is the base of the exponential function
If b>1 then is a exponential growth function
If b<1 then is a exponential decay function
In this problem
The y-intercept is equal to
For x=0
The y-intercept is the point (0,1)
so
The value of b is greater than 1
so
Is a growth function
To plot the graph create a table with different values of x and y
For x=-1
f(x)=2^-1=0.5
point (-1,0.5)
For x=1
point (1,2)
For x=2
point (2,4)
For x=3
point (3,8)
For x=4
f(x)=2^4=16
point (4,16)
Plot the y-intercept and the other points and connect them to graph the exponential function
Note that as x increases the value of y increases (exponential growth function)
The graph in the attached figure
Use the formula for secants in a circle. The formula for us in our situation is
. Work within the parenthesis first to get
. Do the multiplication now to get
. Take the square root of that to get x = 242,967.076 miles or, according to how your answer is to be stated, 243,000 miles.
If the pyramid fits perfectly in a cube, this means that its base is a square and its height has the same value as the side of the square. Let x be the measure of the sides of the cube. The volume of the cube (Vc),
Vc = x³ ; 49 ft³ = x³ ; x = 49^(1/3)
The volume of the pyramid is,
Vp = (1/3)(x²)(x) = (1/3)(x³)
Substituting the known values,
Vp = (1/3)((49^(1/3))³ = 16 1/3 ft³
Thus, the volume of the pyramid is approximately 16.33 ft³.
Answer:
The answer is below:
Step-by-step explanation:
Rewrite: y(y−10)+30=0 into
y^2-10y+30
Quadratic formula:
Hope this helps!
The <em><u>correct answer</u></em> is:
parallel lines
Explanation:
Parallel lines are two lines in a plane that never intersect. This means the definition uses the undefined terms "line" and "plane."
