Answer:
Step-by-step explanation:
()/12
Divide the fraction by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.
I inserted an image on how to use this method.
Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use .
= ×
Multiply the denominators and numerators
=
Answer:
If you meant , then the answer is approximately 0.866.
If you meant , then the answer is approximately -2.909 which looks like what you meant based on the choices.
Step-by-step explanation:
First step is to get the exponential part by itself. The part that has the variable exponent which is the term.
To do this we need to subtract 4 on both sides:
Simplify:
The equivalent logarithmic form is:
I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.
Anyways if you don't have options for computing in your calculator you need to use the change of base formula.
So
I don't see this as a choice so maybe you actually meant the following equation:
Let's see if this is the correct interpretation.
So the exponential part is already isolated.
So we just need to put in the equivalent logarithmic form:
Now we subtract 4 on both sides:
Again if you don't have the option for computing in your calculator, you will have to use the change of base formula:
Answer: Choice A) There must be a vertical asymptote at x = c
Explanation:
The first limit says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.
The limit means that as x approaches c from the right side, the y values head off to positive infinity.
Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.
Answer:
Step-by-step explanation:
The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic Study from last year claimed that the average commute time in the San Francisco Bay Area is 45 min. The urban planner will see if there is evidence the average commute time is greater than 45 minutes
( Here in this case, Null hypothesis will be Η :μ = 45
And the Alternate Hypoyhesis will be H, :μ> 45 )
C. The urban planner asks a random Sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a tuesday morning . The urban planner will see the difference in commute time shows an increase.
Here in this case the null hypothesis will be, H₀ : = 0
And the Alternate Hypothesis will be H, : <0 The commute time after 1 year is more