Answer:
1: 195 divide by 3=65m/h
2: 455divide by 65=7hours
The remainder of Frank's trip is __7_____ hours.
Given:
x and y are both differentiable functions of t.


To find:
The value of
.
Solution:
We have,
...(i)
At x=-1,




Divide both sides by 3.

Taking cube root on both sides.

So, y=2 at x=-1.
Differentiate (i) with respect to t.

Putting x=-1, y=2 and
, we get



Divide both sides by -8.


Therefore, the value of
is 36.
9514 1404 393
Answer:
B = 6.65 in²
Step-by-step explanation:
The base area (B) is the area of the triangular base of the prism. You already know the sides of that triangle are 3, 5, and 7 inches. The figure shows the altitude to the side length 7 is 1.9 inches. The triangle area formula applies:
A = 1/2bh
A = 1/2(7 in)(1.9 in) = 6.65 in² . . . . area of one triangular base.
Then the area of one base is B = 6.65 in².
__
The lateral area is the product of the perimeter and the height:
LA = Ph = 15(12) = 180 . . . . square inches
The total surface area is the sum of the lateral area and the areas of the two bases.
SA = LA + 2B
SA = 180 in² + 2(6.65 in²) = 193.3 in²
A rational number because any number between two integers is a fraction.
Yes, the two ratios are proportional to each other. The multiplier from the first ratio to the second ratio is 3. For example, 4.2 x 3 = 12.6 and 1.5 x 3 = 4.5. Basically, to figure out if two ratios are proportional to each other, just divide the smaller number into the bigger number for both corresponding numbers. If they're the same ---> Proportional. If they're not the same ---> Not Proportional