Felecia's husband will catch up to her 1 hour 30 minutes after leaving.
Step-by-step explanation:
Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.
Head start = 
× 45 miles an hour = 15 miles.
So Felecia got a head start of 15 miles.
Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.
Total gap initially = 15 miles.
The rate at which gap is being closed = 10 miles an hour.
Time to close the gap = 15 / 10 = 1.5 hours.
<h2>
Dimension of trash bin is 6 ft x 6 ft x 3ft .</h2>
Step-by-step explanation:
Let h be the height of box and a be the side of base square.
We have 108 ft² material.
Surface area of trash bin = 108 ft²
Surface area of trash bin = a² + 4 ah
a² + 4 ah = 108
4ah = 108 - a²
Volume of trash bin, V = a²h
At maximum volume differentiation of volume will be zero
Surface area of trash bin = a² + 4 ah = 108
36 + 4 x 6 x h = 108
h = 3 ft
Dimension of trash bin is 6 ft x 6 ft x 3ft .
Answer:
6.33
Step-by-step explanation:
Here, we are asked to give a residual value at x = 3
This mean we are to predict the value of y at the point x= 3
To do this, what we need to do is to input the value x = 3 into the line of best fit equation.
The line of best fit equation according to the question is;
y=0.331986x+5.33286
Substituting x here, we have
y = 0.331986(3) + 5.33286
y = 0.995958 + 5.33286 = 6.328818
Question asks to give answer to the nearest hundredth and that is 6.33
Answer:
C
Step-by-step explanation:
The equation of a line is given by
and
slope (m) is given by:
Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point
Let's take 2 points arbitrarily. (0,0) & (25,20)
Let's plug it and find the equation:
Now
C is the correct answer.
