Answer:
The value of the limit is 12.
Step-by-step explanation:
Small typing mistake, the limit is of h tending to 0.
Then
Calling the limit L
h is the common term in the numerator, then
Simplifying by h
Since h tends to 0.
Answer:
Approximately 58 pieces can be cut in 35 minutes.
Step-by-step explanation:
Jason is cutting 25 firewood pieces in 15 minutes
Therefore, per minute rate of cutting firewood will be,
Rate =
=
= pieces per minute
By this rate amount of firewood that can be cut = Rate × Time taken
=
= 58.33
≈ 58 pieces of firewood
Therefore, approximately 58 pieces can be cut in 35 minutes.
Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
Answer:
2(13a-5)
Step-by-step explanation:
Factor 2 out of both numbers and place it in front