Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
A graph which represents this relationship between the temperature of a substance and time is shown in image.
In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
In Science, temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).
Since, the temperature of a chemical substance increased at a constant rate of three degrees Celsius (3°C) per hour, a graph which represent the relationship that exist between the temperature of a substance and time is shown in the image attached below.
Learn more about graphs visit:
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see attachment for the answer to the problem.
The amount of meters left is 0.144 meters
First and foremost, it should be noted that: 1 yard = 0.9144 meter
Therefore, 10 yards to meters will be:
= 0.9144 × 10
= 9.144 meters
Since Allison uses 9 meters, the amount of thread that is left on the
spool will be:
= 9.144 meters - 9 meters
= 0.144 meters
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How many dollars did he pay per pound of rice?
dollars per pound
(b) A color printer prints 18 pages in 8 minutes.
How many pages does it print per minute?
pages per minute
Ivan paid $0.42 per pound of rice and the color printer prints 2.25 pages per minute.
(a) To find the dollars per pound, we divide the total cost by the total weight.
Dollars per pound = Total cost / Total weight
Given that Ivan bought 24 pounds of rice for $10, we can calculate: Dollars per pound = $10 / 24 pounds = $0.42 per pound (rounded to the nearest hundredth).
(b) To find the pages per minute, we divide the total number of pages by the total number of minutes.
Pages per minute = Total pages / Total minutes
Given that the color printer prints 18 pages in 8 minutes, we can calculate: Pages per minute = 18 pages / 8 minutes = 2.25 pages per minute (rounded to the nearest hundredth).
A $3.478
B. $3.792
C. $2,489
D. $2,256
Answer:
A
Step-by-step explanation:
Becuase he wanted more then 3000
1)70
2)140
3)40
4)280