3. Carla opened a retirement account that pays P percent interest compounded

Mathematics

1 answer:

8090 [49]3 years ago

3 0

Answer:

y=x + p

Step-by-step explanation:

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Determine whether the following problem involves a permutation or a combination and explain your answer. How many different -le

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Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

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3 years ago

Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?

Rina8888 [55]

Answer:

The equation that represents circle C is $(x+2)^2+(y-10)^2=169$ .

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance r from a fixed point O = (a, b). Here O is called the center, and r is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius r is

$(x-a)^2+(y-b)^2=r^2$

We are told that the center of this circle is (-2, 10), so

$(x+2)^2+(y-10)^2=r^2$

We are also told that the circle contains the point (10, 5), so we will use that information to find the radius r.

$(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13$

Therefore, the equation that represents circle C is

$(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169$

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3 years ago

The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then p

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The plot shown is a histogram, not a line plot.

The average quantity is
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Each beaker would have 1/2 milliliters.

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Suppose the circumference of a circle is 10π. What is its radius?

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