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zaharov [31]
3 years ago
9

1. The area A = _r2 of a circular oil spill changes with the radius. At what rate does the area change with respect to the radiu

s when r = 3ft?
6_ ft2/ft
3_ ft2/ft
6 ft2/ft
9_ ft2/ft
2. The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm.
36_
108_
360_
None of these
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
1.) A = πr^2
Rate of change (dA/dr) = 2πr.
When r = 3, dA/dr = 2(3)π = 6π ft^2/ft

2.) V = πr^2h
Rate of change of volume given constant r is dV/dt = πr^2dh/dt = π(6)^2(3) = 108π cm^3/min
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What is 3000 times 562
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1,686,000

Step-by-step explanation:

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Describe the relationship between the temperature and the coffee sales.
Levart [38]

The relationship between temperature and the coffee sales is a negative exponential of temperature

<h3>

What is relation?</h3>

relation is subject of order between to sets or how the connected to each other.

The temperature of liquid is essential in the  process of brewing because its affects the rate of evaporation or extraction. it refers to the test and matters that are dissolved from the coffee beans. The hot is the water, the quick it is to extract. At a high temperature, it’s tougher to control the rate of extraction. This can lead to over-evaporation of liquid, making your coffee taste too bitter since the heat strips away a lot of oxygen.

since the temperature varies over the year, which implies the taste of coffee also vary in a manner that in cold days people love coffees and in hotter days the people love to drink cold drinks instead of coffees
so in cold days the sales of coffees is grater in comparison with hot days

Thus the relationship between the sales of coffees and temperature is negative exponential of temperature.

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3 0
2 years ago
You need to sell 250 candy bars at $2 each. If you meet your goal, the total amount of money you will have is measured in the __
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Based on the given details you have given, the total amount of money that you will have will be measured in dollars ($). Since the given value is also in dollars which is $2, therefore, the total amount of money you will have is also in dollars which is 250 x $2 is $500 in total. Hope this answers the question. 
3 0
4 years ago
The number 12,300 is written ______. as a coefficient in standard form in scientific notation
dexar [7]
The number 12,300 is written 1.23 x 10⁴ as a scientific notation. It's coefficient is 1.23; base is 10⁴ in exponent form.

Scientific notation is a method developed by scientists to shorten the number that expresses a very large number. The scientific notation is based on powers of the base number 10.

Scientific notation has two numbers: coefficient and base. The coefficient must be greater than or equal to 1 and less than 10. The base is always 10 written in exponent form.

12,300 as coefficient in standard form in scientific notation.

1) put decimal after the first digit and drop the zeros. from 12,300 to 1.23 this is the coefficient.

2) to find the exponent, count the number of places from decimal to the end of the number.
1.2300 ; there are 4 places

So the scientific notation is 1.23 x 10⁴

6 0
3 years ago
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