In the expression that you are given, n is the is number in the sequence. So in this scenario, n=16. So substitute the 16 into the equation. 
. So the 16th term in the sequence is -25.
Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initi
al amount of water in a flask. They combine two chemicals which react to produce more water. Carmen's experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second. Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second.
1 answer:
This question is incomplete and it lacks an attached graph. Find attached to this answer, the appropriate graph.
Complete Question
Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initial amount of water in a flask. They combine two chemicals which react to produce more water. Carmen's experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second. Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second. The graph represents the volume of water in the two flasks in relation to time. Which two conclusions can be made if f represents the volume of water in Carmen's flask and g represents the volume of water in Matt's flask? a) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [0, 2].
b) The volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].
c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
d) The volume of water in Matt's flask will eventually be greater than the volume of water in Carmen's flask.
e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].
Answer:
c) The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
e) The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].
Step-by-step explanation:
Looking at the graph, the average rate of change is given as [0,2], [4,6], and [6,8].
From the graph and question, we can tell that Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second
Which would gives us:
28% of 10 milliliter of water = 2.8 millimeters per second.
For Carmen , his experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second,
Because, Carmen starts with 30 milliliters of water in his flask, the volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
Secondly, comparing the quantity as which the volume of the flask increases per second, at the interval of [4, 6], the volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval
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Minimum whole hour is 3 hours. Other possible values are 4 hours.
Step-by-step explanation:
Given: Evan is paid for babysitting is $10 per hour.
Paid for walking dog is $8 per hour.
Maximum hour, he can work is 16 hours.
Minimum earning Evan should get in a week is $140.
Evan have worked for 12 hours as babysitting.
Now, finding minimum number of hours Evan shoud work as walking dogs to meet his goal.
As given Evan have already worked for 12 hours as babysitting, therefore lets find the amount, he earned for babysitting.
Evan´s earning in 12 hours of babysitting=
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Next, Hours remaining from his maximum working hours and amount to be earned to earn more to achieve his minimum earning.
Hours remaining=
∴ 4 hours remaining after he have worked for babysitting.
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∴ Amount to be earned to achieve minimum goal on the week is $20.
If Evan work for 2 hours, then he can earn=
$16 will not fulfill the minimum earning criteria of $140.
However, if Evan work for 3 hours, then he can earn=
∴ Minimum 3 hours Evan have to work for walking dogs to get minimum earning of the week.
Evan can work for 4 hours also for walking dogs to get additional earning. As his Total working hour will be only, which is fulfilling the criteria of maximum 16 hours.