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soldi70 [24.7K]
2 years ago
8

shaun plotted a point on the number line by drawing 5 equally spaced marks between 0 and 1 and placing a point on the third mark

he claims that point represents the fraction 3/5because each mark represents 1/5 so the third mark represents 3/5
Mathematics
1 answer:
arlik [135]2 years ago
4 0
Shaun is correct, he can use 5 as the denominator of the fraction or partition of line with measurement of 1 unit (the point is in between 0 to 1). It is also mentioned that the point has been placed in equal distance or equally marked. Then, the third point is 3/5 and the first point is 1/5.
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A cup of coffee with temperature 155degreesF is placed in a freezer with temperature 0degreesF. After 5 ​minutes, the temperatur
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Answer:

45.50° F

Step-by-step explanation:

As per Newton's law,

T(t) = T_{s}+(T_{0} + T_{s})e^{-kt}

When T(t) is the final temperature

T_{s} = Temperature of surrounding

T_{0} = Initial temperature

t =duration of cooling

k = constant

103=0+(155-0)e^{-k\times 5}

103=155e^{-5k}

Now take natural log on both the sides

ln(103)=ln(155e^{-5k})

ln(103)=ln(155)+ln(e^{-5k})

ln(103)=ln(155)=-5k

4.6347 - 5.0434 = -5k

k=\frac{0.40872}{5}

k = 0.0817

T(t)=0+(155-0)e^{(0.0817\times 15)}

   = 155e^{-1.226}

   = 155 (02935)

  = 45.49 ≈ 45.50° F

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3 years ago
Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
Otrada [13]

The correct answer is the second answer choice.

3 0
3 years ago
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Find the circumference of a circle with an area of 289.Round to the nearest tenth.
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Step-by-step explanation:

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How do I solve this equation: -5/6b + 3/4 = 1/2b - 2/3 ?
Gre4nikov [31]
First get like things on the same side:
-5/6b - 1/2b= -2/3 - 3/4

Then find equivalent fractions to make the equation easier to solve.
-5/6b - 3/6b= -8/12 - 9/12

Then just add things together and solve.
-8/6b= -17/12
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You can then plug the answer back into the original question to make sure it is the correct answer.
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Find the values of x and y. State which theorem(s) you used.
Usimov [2.4K]

The required simplified value of x and y is 32 and 84 respectively.

Given that,
To find the values of x and y. State which theorem(s) you used.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Vertical opposite angles

3x = 5x - 64
2x = 64
x = 32

Now,

5x - 64 = 5*32 - 64
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Now complementary angle y
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Thus, the required simplified value of x and y is 32 and 84 respectively.

Learn more about simplification here:
brainly.com/question/12501526

#SPJ1

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