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Klio2033 [76]
3 years ago
10

Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. If three pens cost $5.67,

the cost of one pen is $
Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0
It is 1.89 dollars per pen.
irga5000 [103]3 years ago
3 0
You would do $5.67 divided by three. one pen is $1.89
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A circle has a diameter of 12 units, and its center lies on the x-axis. what could be the equation of the circle? check all that
wariber [46]

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.

The center of the circle is at x axis (*, 0), the equation could be:

(x - 6)² + (y - 0)² = 6²

(x - 6)² + y² = 36

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

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A heated piece of metal cools according to the function c(x) = (.5)x − 7, where x is measured in hours. A device is added that a
Mama L [17]

Answer:

Option (b) is correct.

The temperature of the metal after two hours is 28 Celsius

Step-by-step explanation:

  Given : A heated piece of metal cools according to the function  c(x)=(0.5)^{x-7} ,  where x is measured in hours and then a cooling device id added that aids in cooling according to the function h(x)=-x-2

We have to determine the temperature of the metal after two hours.

Let w(x) denotes the temperature of metal .

Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)

Thus, w(x)=[c+h](x)\\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\ , where x is measured in hours.

Thus, after two hours that is when x = 2

the temperature of metal is given by w(2)

w(x)=(0.5)^{x-7}+(-x-2)\\\\ w(2)=(0.5)^{2-7}+(-2-2)

Solving , we get,

w(2)=(0.5)^{2-7}+(-2-2)\\\\ w(2)=(0.5)^{-5}+(-4)\\\\ w(2)=32-4=28

Thus, the temperature of the metal after two hours is 28 Celsius.

Hence, Option (b) is correct.

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Answer:

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