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Pepsi [2]
3 years ago
5

The function is used to convert temperature from Celsius (C) to Fahrenheit (F). The function C(K) = K − 273.15 is used to conver

t temperature from Kelvin (K) to Celsius. Which is the correct function for converting temperature from Kelvin to Fahrenheit?
Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

Answer:

F(k)= \frac{9}{5}(k - 273.15) + 32

 

Step-by-step explanation:

Given

F(c)= \frac{9}{5}c + 32

C(k) = k - 273.15

Required

Function from K to F

This implies that, we calculate F(k)

Given that:

F(c)= \frac{9}{5}c + 32

Substitute c(k) for c

F(c(k))= \frac{9}{5}c(k) + 32

Substitute: C(k) = k - 273.15

F(c(k))= \frac{9}{5}(k - 273.15) + 32

Hence:

F(k)= \frac{9}{5}(k - 273.15) + 32

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What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
timama [110]

Given:

The point P\left(\dfrac{3}{4},\dfrac{5}{12}\right) divides the line segment joining points A\left(\dfrac{1}{2},\dfrac{3}{2}\right) and B(2,-5).

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Let point P divides the segment AB in m:n. Then by using the section formula, we get

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)

On comparing both sides, we get

\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}

\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}

Multiply both sides by 4.

3(m+n)=2(4m+n)

3m+3n=8m+2n

3n-2n=8m-3m

n=5m

It can be written as

\dfrac{1}{5}=\dfrac{m}{n}

1:5=m:n

Therefore, the point P divides the line segment AB in 1:5.

6 0
3 years ago
How would you know the answer (important)
SSSSS [86.1K]

Answer:

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2 years ago
Pleaseeeee help!!!!!<br> Order them least to greatest please
Fiesta28 [93]

Answer and Step-by-step explanation:

\pi is pi, or 3.14159

The absolute value of -4 ( |-4| ) is 4.

These numbers should go in this order:

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Answer: 76

Step-by-step explanation:

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Hope this Helps!

4 0
3 years ago
How are the perimeters of the preimage polygon and the image polygon related? Explain.
Romashka-Z-Leto [24]

The difference between Pre-Image and Image is given as follows:

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<h3>How do you define relationships between Image and Preimage?</h3>

Usually, the difference between image and pre-image is the way or method of transformation.

<h3>What is transformation in math?</h3>

A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure.

The Pre-Image is the original shape of the item, and the Image during the transformation is the final shape and location of the object.

The types of transformation in math are;

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