Answer:
Step-by-step explanation:
236, did on edge
Answer:
Volume of original toolbox = 180 in³
Yes, doubling one dimension only would double the volume of the toolbox.
Step-by-step explanation:
Volume = L x W x H
10 x 6 x 3 = 180 in³
proof:
double length = 20 x 6 x 3 = 360 in³, which is double the original
double width = 10 x 12 x 3 = 360 in³, which is double the original
double height = 10 x 6 x 6 = 360 in³, which is double the original
To answer this item, we have 4 as the speed of the kayaker in still water and the speed of current be y.
When the karayaker moves upstream or against the current, his speed would be 4 - y. Further, if he moves downstream or with the current, the total speed would be 4 + y. The time utilized for the travel is equal to the ratio of the distance and the speed.
Total time = 9/(4 - y) + 9/(4 + y) = 6
We multiply the equation by (4-y)(4+y)
9(4-y) + 9(4 + y) = 6(4-y)(4+y)
Simplifying,
72 = 96 - 6y²
Transposing all the constants to only one side of the equation and rearranging,
6y² = 96 - 72
y² = 4
y = 2
Hence, the speed of the river's current is 2 miles/hr. <em>The answer is letter B.) 2 miles/hour.</em>
Answer:
brainliest pls
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the equation 4x²+ 49y² = 196
a) Differentiating implicitly with respect to y, we have;

b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,
First let is make y the subject of the formula from the equation;
If 4x²+ 49y² = 196
49y² = 196 - 4x²

Differentiating y with respect to x using the chain rule;
Let 





c) From the solution of the implicit differentiation in (a)

Substituting
into the equation to confirm the answer of (b) can be shown as follows

This shows that the answer in a and b are consistent.