Answer:
Step-by-step explanation:
Another name for <em>initial</em><em> </em><em>value</em><em> </em>is y-intercept, which in this case is
I am joyous to assist you anytime.
Answer:
54
Step-by-step explanation:
The ratio of 6 to 4 between the length and the with means that if the length was 6, the width would be 4.
We can represent this in a table:
Length Width
6 ⇒ 4
and we need to find the length for a picture frame that has a width of 36. If we represent the length of the picture frame by x, and we update the previous table:
Length Width
6 ⇒ 4
x ⇒ 36
The value of x (the length) can be found by the rule of three: Multiply the cross quantities in the last table ( 6 by 36) and divide the result by the remaining value (4).
We get the following for x:
x = 6*36/4
x= 216 / 4
x = 54
The length is 54.
Another way to find the result is:
The width of the frame (36) is 9 times more than the width that the ratio indicates (4). Because
4*9 = 36
thus, the same must be true for the relationship between the length in the indicated ratio and the length of the frame (9 times bigger):
6*9 = 54
we also get 54 as the result.
Answer:
The ranger should walk <u>0.577 miles per hour</u> in order to decrease the time required to reach the car.
Step-by-step explanation:
Suppose the ranger reaches x miles from the end of the road which becomes the horizontal distance and the vertical distance is 1 miles. A right angle triangle can be obtained that shows the ranger walks along the hypothesis.
The distance left to reach the car is = 5 - x
To calculate total time taken, then the function becomes
In order to find the minimized time, differentiate the function T as follows
Equate the derivative to zero and obtained
Squaring both sides
The ranger should walk 0.577 miles per hour in order to decrease the time required to reach the car.
First month = $10 x 2
= $20
Second month = $20 x 2
= $40
Third month = $40 x 2
= $80
Fourth month = $80 x 2
= $160
Amy will have $160 balanced in her account after four months.
Answer:
r = 3x.
Step-by-step explanation:
The volume of the cylinder = πr^2 h
= π (2x)^2 9x
= 36x^3 π
This is also the volume of the sphere so
36 x^3 π = 4/3 π r^3
36x^3 = 4/3 r^3
r^3 = 36 x^3 * 3/4
r^3 = 27 x^3
r = cube root of 27 x^3
r = 3x.