It’s a. Start at the y intercept and rise over run to the next point.
Answer:19.74 gallons of the gas in the tank is wasted.
Step-by-step explanation:
Since the efficiency of the gas engine is 6%, wastage is #= 100 - 6 = 94%.
Therefore wastage = 94% x 21=94 x21/100=19.74 gallons
Answer:
20,944 years
Step-by-step explanation:
The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:

where N(t) is the amount left over after the decay occurs,
is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,

Begin by dividing the 100 on both sides to get

Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.
ln(.081)= -.00012t
Take the natual log of .081 on your calculator to get
-2.513306124 = -.00012t
Now divide both sides by -.00012 to get t = 20,944 years
<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.
Answer:
The ratios are not equal
Step-by-step explanation:
Let
x ----> the number of dimes
y ----> the number of quarters
we know that
<em> Suri's coin purse</em>
x=6, y=4
The ratio of dimes to quarters is

<em> Martha's coin purse</em>
x=5, y=3
The ratio of dimes to quarters is

Compare the ratios

therefore
The ratios are not equal