Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
Answer: the first option is the correct answer.
Step-by-step explanation:
Let x represent the number of necklaces that he makes in a year.
Profit = Revenue - cost
The cost of making each necklace is $5. In making necklaces in a year, the fixed cost is $5000. This means that the total cost of making x necklaces in a year is
5x + 5000
Sam sells each necklace for $10 each. This means that the total amount made from selling x necklaces is $10x.
For Sam to make profit of $1000 in a year, the number of necklaces that she must sell would be
1000 = 10x - (5x + 5000)
1000 = 10x - 5x - 5000
10x - 5x = 1000 + 5000
5x = 6000
x = 6000/5
x = 1200
Im not sure really sorry, hope somebody can help you.
Step-by-step explanation:
A= 90 degree
B= 180
C=118
Student committed a minor act of plagiarism or cheating a second time in his/her work or exam for a class OR
committed a serious act of plagiarism or cheating. Serious acts include: copying or purchasing an essay or other
assignment and presenting it as your own, obtaining and using unauthorized materials (paper, electronic) or help
(verbal) during an exam, or obtaining extensive help from classmates or non-classmates for an exam. These can
result in a failing grade for the related assignment or exam
Answer:
-0.5°C every hour
Step-by-step explanation:as the temperature of the bottom of the mountain changed at 1/5 the rate of temperatures change on the top of the mountain, so, the hourly rate of temperature change at the bottom of the mountain is=
-2.5×(1/5)
=-0.5