Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
The distance between starting and ending point is 34 miles.
Step-by-step explanation:
Given,
Car moves 16 miles to north then 30 mile to east.
It forms a right angle triangle.
The straight line distance from starting to ending point represents hypotenuse.
To find the distance between starting and ending point.
Formula
By <em>Pythagoras theorem,</em>
h² = b²+l² where h is the hypotenuse, b is base and l is the another side.
Taking, b=16 and l=30 we get,
h² = 16²+30²
or, h = 
or, h = 
= 34
Hence,
The distance between starting and ending point is 34 miles.
Answer:
to find the area of a polygon
formula: area = 1/2 x perimeter x apothem
Step-by-step explanation:
Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Answer:
This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.
The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm
The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm
*Radius is 4
Now add: 768 + 134.04 = 902.04 cm
Answer:
m=-1/6
Step-by-step explanation:
The slope equation is m=(y₂-y₁)/(x₂-x₁)
For this problem
y₂=-5
y₁=0
X₂=32
x₁=2
Then applying the equation
m=(-5-0)/(32-2)
m=(-5)/(30)
m=-1/6
m=-0,167
The negative means the slope is decreasing
