Answer:
diameter = circumference / pi
circumference = 15cm
diameter = 15 / 3.14
= 4.77707006369 cm
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b. Keep the base the same and then add the exponents.
c. Multiply the bases and then subtract the exponents.
d. Keep the base the same and then subtract the exponents.
Answer:
The correct option is d. To simplify the given expression we should keep the base the same and then subtract the exponents.
Step-by-step explanation:
The given expression is
In the above expression we have common base 3 but the exponents are different.
According to the rule of exponent, if the numerator and denominator have same base and different exponent, then the base remains the same and the exponent of denominator subtracted from exponent of numerator.
Use this rule in the given expression.
Therefore the correct option is d.
Answer:
d or Keep the base the same and then subtract the exponents.
Step-by-step explanation:
sales after the first $5000. To determine the
amount of sales he earns commission on, he
uses the function f(x) = x - 5000. Then he uses
a different equation to determine how much
commission he actually earns, g(x) = 0.05x. He
wants to create a composite that includes
both. What is the composite function?
-
=
Answer: 1000000
Step-by-step explanation:
5x100
Answer:
h = 20 m
Step-by-step explanation:
So you know volume of a cylinder = π*(r^2) * h
and you also know volume of this cylinder = 180π
(volume is also in meters^3)
you can set these volumes equal to one another
180π = π*(r^2) * h
by dividing by π you get this:
180 = (r^2) * h
you need h so you can divide by r^2 to get this
h = 180 / (r^2)
now you just need to plug in the radius you are given which was 3 meters
h = 180 m^3 / (3 m^2)
h = 180 m^ 3 / 9 m^2
h = 20 m
Answer:
Cai's Would Be Bluer
Step-by-step explanation:
Since 2/5 is 40% and 5/11 is 45% Cai's would be bluer!
Cai's paint will be bluer because she used a higher percentage of blue paint (45.45%) in her mix compared to Casho who used 40% blue paint.
In order to determine whose paint mix will be bluer, we must compare the ratio of blue to red paint in each student's mix. Cai mixes 5 cups of blue and 6 cups of red paint. Casho mixes 2 cups of blue and 3 cups of red paint. We find the percentage of blue paint by dividing the amount of blue paint by the total amount of paint and then multiplying by 100. For Cai, it would be (5 / (5 + 6)) * 100 = 45.45% blue. For Casho, it would be (2 / (2 + 3)) * 100 = 40% blue. Thus, Cai's purple paint will be bluer because it has a higher percentage of blue paint.
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Answer:
Firstly you must find the slope of two point
Step-by-step explanation:
m=(y2-y1)/(x2-x1) m=-8/4 = -2after this step you should choose one point. I want to choose (3,1) y-1=2*(x-3). our equation y=2x-7
B. The amount of money, y, In an account after x years earning 4% interest compounded annually.
C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.
D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.
The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute can be modeled by a linearfunction. This is because the cost increases at a constant rate with the number of minutes used. In contrast, options A, B, and C involve non-constant rates of change.
The answer is D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute. This is a linear function because it describes a constant rate of change, as the cost changes linearly with the number of minutes used. Each additional minute costs the same amount: 4 cents. So, if we plot the minute (x) versus cost (y), we would get a straight line. This is different from the other options where the rate of change is not constant. For instance, options A, B, and C describe scenarios with exponential decay or growth.
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Answer:
D
Step-by-step explanation:
D is linear because it increases the same amount each time