Answer:
x=ln(61)/ln(4)
Step-by-step explanation:
4^x+3=64
4^x=64-3
4^x=61
x=ln(61)/ln(4)
-3(3y-2x)+ 2(5x-4y)
-9y+6x+10x-8y
-17y+16x
So the answer is D.
Answer:hope you like it
Step-by-step explanation:basic pencil and a4 sheet of paper
Depth of the bathtub = 18 inches
Time taken to fill 3 inches of the bathtub = 2 minutes
Then
The amount of depth needed to fill with water = (18-3) inches
= 15 inches
Time required to fill 15 inches of the bathtub = (15*2)/3 minutes
= 30/3 minutes
= 10 minutes
So John is correct in thinking that it will take 10 more minutes for the water to reach the top of the tub if he continues at the same rate.
Hope this helps!
1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and

.
2.

.
3. Find the derivative of the function A(x):

.
4. Solve the equation A'(x)=0:

5. Since

you have

.
Answer: <span>the width of the rectangle is

</span>