The kelvin scale is the standard absolute thermodynamic temperature scale.
Therefore, this question is simply asking you to convert the degree fahrenheit into degree kelvin.
The formula used to convert between kelvin and fahrenheit is as follows:
T(K)<span> = (</span>T(°F)<span> + 459.67) × 5/9
</span>
We will substitute in this equation with T(F)=-13 and calculate T(K) as follows:
t(K) = (-13 + 459.67) x 5/9 = 248.15 K
Based on this, the previous sentence can be written using absolute value of the number as follows:
The temperature at night reached 248.15 K.
The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>
The length of rope is given as:
Length = 9.3 feet
The price per rope is given as:
Price per rope = $3.82 per foot
The total amount spent by the carpenter is calculated as:
Total amount = Length * Price per rope
Substitute the known values in the above equation
Total amount = 9.3 feet * $3.82 per foot
Evaluate the product
Total amount = $35.526
Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
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The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is <u>4</u>
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = 
Required:
To find the value of <em>y</em>
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Solution:
The formula for the slope is given as follows;

Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;

3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12

The value of, y = <u>4</u>
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Answer:
a)
D. y = (x +1)(x + 3)
b)
C. 3x ( x - 3) = 0
Step-by-step explanation:
Hope it helps you in your learning process.