A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.
2 answers:
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Answer:
The answer is explained below
Step-by-step explanation:
Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = , this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.
As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.
is equal to the volume of the ball when the radius of the ball is
. Therefore:
The <u>correct diagram</u> is attached.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.
Hey. Let me help you on this one.
In this problem, we have a constant rate of baker decorating cupcakes, and it gives us both values - cupcakes, and minutes.
In order for us to solve this question, we will need to simplify this ratio in order to make denominator, which is going to be 303030 minutes, equal to one. This can be done by property of division.
I will also be attaching an image that might help you with your studies. I recommend looking over it if you have trouble simplifying ratios.
Alright, let's set up a ratio for this problem. It should be cupcakes over minutes, since this is the rate of change and our main focus here is the time. We are also doing this because amount of minutes is less than the amount of cupcakes, meaning that simplification will be much easier and actually make more sense.
So, now that we have this ratio, all we have to do is simplify it. We need to have 3030303 simplified into one; however, all we do with denominator has to be done with the numerator - the number above.
In order for us to transform 303030 into one, we will need to divide it by 303030. This division will simplify the denominator, but we must not forget about numerator as well.
Awesome. Now, we have the fixed ratio of 1.4 over 1, or simply 1.4 cupcakes per minute.
Answer: Baker will decorate 1.4 cupcakes per minute if the constant rate is kept.
In this problem, we have a constant rate of baker decorating cupcakes, and it gives us both values - cupcakes, and minutes.
In order for us to solve this question, we will need to simplify this ratio in order to make denominator, which is going to be 303030 minutes, equal to one. This can be done by property of division.
I will also be attaching an image that might help you with your studies. I recommend looking over it if you have trouble simplifying ratios.
Alright, let's set up a ratio for this problem. It should be cupcakes over minutes, since this is the rate of change and our main focus here is the time. We are also doing this because amount of minutes is less than the amount of cupcakes, meaning that simplification will be much easier and actually make more sense.
So, now that we have this ratio, all we have to do is simplify it. We need to have 3030303 simplified into one; however, all we do with denominator has to be done with the numerator - the number above.
In order for us to transform 303030 into one, we will need to divide it by 303030. This division will simplify the denominator, but we must not forget about numerator as well.
Awesome. Now, we have the fixed ratio of 1.4 over 1, or simply 1.4 cupcakes per minute.
Answer: Baker will decorate 1.4 cupcakes per minute if the constant rate is kept.