Answer: r=6
Step-by-step explanation:
Because if 42 equals 7 times r you just have to divide 42 by 7.
Answer:
C and D
Step-by-step explanation:
The area of a rectangular raised garden bed for growing beets is given by the expression 
The area of the rectangle is

Thus,

or

The length of the mat is greater than its width. Since

then

Options A and B are false, options C and D are true.
Answer: The width is 14m
Step-by-step explanation: The question has provided the perimeter as 60. The available clues are such that the length measures 2m more than it's width. This means whatever is the width of the rectangle, the length shall be equal to plus 2. Hence, if the width is W, the length is W + 2.
So we have,
Perimeter = 60
Length = W + 2 and
Width = W
Already the perimeter is given as
Perimeter = 2(L + W)
We can now express the perimeter as follows;
60 = 2(W + 2 + W)
60 = 2(2 + 2W)
By cross multiplication we now have
60/2 = 2 + 2W
30 = 2 + 2W
Subtract 2 from both sides of the equation
28 = 2W
Divide both sides of the equation by 2
14 = W.
Remember that the length is given as W + 2, so the length becomes
14 + 2 = 16
Therefore, the width equals 14 m.
Given:
f(x) is an exponential function.


To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is

For, x=-0.5,

...(i)
For, x=1.5,

...(ii)
Divide (ii) by (i).


Taking square root on both sides, we get


Putting b=0.882 in (i), we get




Now, the required function is

Putting x=0.5, we get



Therefore, the value of f(0.5) is 23.81.