Answer:
Step-by-step explanation:
To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.
The minimum occur at when x = 0
f(0) = 100(0) +50.
f(0) = 50
Hence the minimum value of the calorie is 50.
The maximum value occur at f'(x)
f'(x) = 100
Hence the maximum value of the calorie is 100
Hence, the reasonable range for the situation is 50 ≤ x ≤ 100
Answer: 6 feet
Step-by-step explanation:
Given that a 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost due to the cuts
Let assume that the 4 rectangles will be of the same area since they are congruent.
The area of the big rectangle will be
Area = 4 × 8 = 32
Divide 32 by 4
32/4 = 8
Suggest the two possible numbers in which their product will be equal to 8
4 and 2 or 8 and 1
If 4 and 2
The perimeter = 2L + 2B
Substitute the 4 and 2 into the formula
Perimeter = 2(4) + 2(2)
Perimeter = 8 + 4
Perimeter = 12
If 8 and 1
Perimeter = 2(8) + 2(1)
Perimeter = 16 + 2 = 18
The positive difference, in feet, between the greatest possible perimeter of a single piece and the least possible perimeter of a single piece will be:
18 - 12 = 6 feet
Answer:
The exact value of cos(45°) is √(2) / 2.
Step-by-step explanation:
Step-by-step explanation:
9. log(2)=a, log(3)=b, then log(36)=______
log(36) = log(6*6) = log(6) + log(6)
log(36)= log(6) + log(6)
log(36) = log(3*2) + log(3*2)
log(36) = (log(3) + log(2)) + (log(3) + log(2))
log(36) = (a + b) + (b + a)
log(36) = a + b + b + a
log(36) = 2a + 2b
Answer:
b = 15
Step-by-step explanation:
Solve for b:
Cross multiply:
