Answer:
(2)
Step-by-step explanation:
Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)
Thus,
=> -x³ - 9 = y
=> - y - 9 = x³
=> (-y - 9)^(1/3) = x
=> f(y) = x
Inverse is (-y-9)^(1/3)
Replacing the variable, inverse is (-x-9)^(1/3)
Option (2)
Answer:
Volume of Sphere is 33.51 ft^3
Volume of Cylinder is 37.7 m^2
Step-by-step explanation:
<u>Volume of a sphere formula: V = 4
/3πr^3</u>
<u>Volume of a cylinder formula: V = πr^2h</u>
<u />
<u>Step 1: Find the volume of the sphere</u>
Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2
V = 4/3*π*(2)^3
<em>V = 33.51 ft^3</em>
<em />
Answer: Volume of Sphere is 33.51 ft^3
<u>Step 2: Find the volume of the cylinder</u>
Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2
V = π*(2)^2*(3)
<em>V = 37.7 m^2</em>
<em />
Answer: Volume of Cylinder is 37.7 m^2
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...
time = distance / speed
The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.
total time = time spent walking + time spent riding
13/6 = (d/3) + (20-d)/30
Multiplying by 30 gives ...
65 = 10d + 20 -d
45 = 9d . . . . . . . . . . subtract 20
5 = d . . . . . . . . . . . . divide by 9
The girl walked 5 miles.
_____
<em>Check</em>
Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.
Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.
Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.
Answer:
1.4385 yards wide
Step-by-step explanation:
First we need to find the total area of the land by multiplying the 2 acres by the size of a single acre in yards...
2 * 4,840 = 9,680 square yards
Since we know that the area of a rectangle is length times width, and we are provided the length of the land. Then we simply need to divide the area of the land by the length provided to get the width of the land
9,680 / 6729 = 1.4385 yards wide
