Answer:
2:30 pm
Step-by-step explanation:
In two hours (from 10am), she is 45 * 2 = 90 miles from vacation cabin.
From then on her average is still 45 mph and her husband's is 65 mph. So, husband catches her 20 miles (65-45=20) in every hour.
<em>The husband has to catch up 90 miles. How long would it take if he is catching up at 20 miles an hour?</em>
<em>90/20 = 4.5 hours</em>
<em />
<em>So husband starts at 10am and 4.5 hours form that time is 2.30pm</em>
Answer:
Negative Correlation
Step-by-step explanation:
We see that the overall trend is going from up to down. If you were to draw a best line of fit, it would have a negative slope. Therefore, our correlation is negative.
Answer:
No
Step-by-step explanation:
If q=30, L=5, and K=15 is a point on the production function q=f(L, K).
Production function is an equation that expresses the relationship between the quantities of factors of production used and the amount of product obtained under the assumption that the most efficient available methods of production are used.
The combination q=30, L=5, and K=16 cannot be a point because we assume production functions are efficient.
Answer:
<h2>B. The amount of fuel used was lowest at speeds around 60km/h.</h2>
Step-by-step explanation:
The decreasing part is from (20,13) to (60,6), which gives an average rate of

Then, we have an increasing part from (60,6) to (120,10), which gives an average rate of

Basically, at 60 km/h the fuel used was 6 liters per 100 kilometers. Notice that the other velocities make the car to use more liters per kilometers.
Therefore, the amount of fuel used was lowest at speeds around 60 km/h.
3x - 2y = 13
-2y = -3x + 13
y = 3/2x - 13/2...slope is 3/2, y int is -13/2
2x + 3y = -16
3y = -2x - 16
y = -2/3x - 16/3...slope = -2/3, y int is -16/3
perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, flip the number and change the sign.
On the 1st equation, the slope was 3/2....find its negative reciprocal.....flip it, making it 2/3....change the sign...making it -2/3. So the negative reciprocal of 3/2 is -2/3.
So if one equation has a slope of 3/2 and another equation has a slope of -2/3, then these lines are perpendicular <==