Answer:
35 - m is the expression used to determine the number of gallons left in the tank after m minutes.
Step-by-step explanation:
Given:
- Tank with 35 gallons of water is leaking at a rate of gallon per minute
Calculations:
- Let "m" represent the number of minutes spent
- Number of gallons left in the tank = initial amount of water present – leaked amount of water
- The required expression is 35 – m
Answer:
(√9)^2x-1/2 = 1/81
3^2x-1/2 = 1/(3)⁴. (as √9 = 3)
3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)
as base are equal exponents are equal
so 3 gets cancelled out
2x-1/2 = -4
(4x-1)/2 = -4
4x-1 = -8
x = -7/4
hope this helps
Step-by-step explanation:
Probability is calculated as:"Total number of Favorable outcomes divided by Total number of outcomes in the sample space".
The favorable outcomes in this case are the numbers divisible by 3. So the numerator lists the numbers that are divisible by 3, which are the favorable outcomes.
So, the answer to this question is option C
So the easiest way to do this is to convert this standard form equation into slope-intercept form, which is y = mx+b (m = slope, b = y-intercept). The slope indicates whether the line is going upwards and downwards and at what rate, and the y-intercept is where the line crosses the y-axis.
Firstly, subtract both sides by 6x: 
Next, divide both sides by 8 and your slope-intercept form will be: 
So with this equation, since the slope is negative, the line is going downwards. You will graph this line so that when x increases by 3, y decreases by 2 and so that the line passes (0,-4). Here are some of the points on this line to help you:
(0,-4), (3, -6), (6,-8), etc.