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Alex_Xolod [135]
3 years ago
10

The map below shows the location of 3 houses where you had to do lawn work today. Your truck gets 8 miles per gallon of gasoline

, so you chose the shortest route from your house to the jobs and then back home, as shown below. If gas costs $1.52 per gallon, what was the total cost of the gas that you used today?
Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

4.18 dollars to drive 20 miles

Step-by-step explanation:

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Identify the type of function represented by... please help
Vladimir [108]

Answer:

Exponential decay.

Step-by-step explanation:

You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.

From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.

3 0
3 years ago
Area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).
qwelly [4]
Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:

area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2

Substitute the values in to the expression, 
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12

Final answer would be 12 units.

Hope this helps!
5 0
3 years ago
30 POINTS!
Goshia [24]

Answer:

The correct answare would be 3.54 x 10^22 N  

7 0
2 years ago
A population of rabbits doubles evey 4 months. if the population starts out with 8 rabbits how many rabbits will there be in 1 y
Arlecino [84]
Well. You start with two rabbits, and it triples every month, so:

0 months: 2 rabbits.
1 month: 2*3 = 6 rabbits.
2 months: 6*3 = 18 rabbits.
3 months: 18*3 = 54 rabbits.
4 0
2 years ago
8 wholes and 4/6 minus 2 wholes and 5/6 is what
podryga [215]
The answer to your problem should be 5 wholes and 5/6 since the denominators are the same just add 6 more pieces to 4/6 to get an improper fraction then subtract to get the answer. Hope this helps and have a fabulous day!
5 0
2 years ago
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