Answer:
-40 °F = -40 °C
Step-by-step explanation:
The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Complete the equation you can solve to find that temperature and then use it to find the temperature. Use the variable C to represent the number of degrees Celsius where degrees Fahrenheit and degrees Celsius are the same. The equation is . The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is °C.
F = 1.8 C + 32 (1)
There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius
Then,
F = C (2)
Substitute (2) into (1)
F = 1.8 C + 32 (1)
C = 1.8C + 32
Subtract 1.8C from each side
C – 1.8 C = 32
-0.8C = 32
Divide both sides by -0.8
C = 32 / -0.8
C = -40
Substitute C = -40 into (1)
F = 1.8C + 32 (1)
F = 1.8(-40) + 32
F = -72 + 32
F = -40
Therefore,
The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is -40
That is,
-40 °F = -40 °C
Answer:
90 degrees
Step-by-step explanation:
A circle has 360 degrees. One degree of a circle, therefore, is 1/360. 1/4 of a circle would equal 90 degrees (1/4 of 360 = 90).
P - parenthesis
e - exponents
m - multiplication
d - division
a - addition
s - subtraction
_______________
so parenthesis is first, p, so 8 plus four equals to 12
multiplication is next, m, so 12 x 9 is 108
the answer is 108
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
<h3>How to evaluate a piecewise function at given values</h3>
In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:
<h3>r(- 3): </h3>
-3 ∈ (- ∞, -1]
r(- 3) = - 2 · (- 3) + 9
r (- 3) = 15
<h3>r(- 1):</h3>
-1 ∈ (- ∞, -1]
r(- 1) = - 2 · (- 1) + 9
r (- 1) = 11
<h3>r(1):</h3>
1 ∈ (-1, 5)
r(1) = 2 · 1² - 4 · 1 - 5
r (1) = - 7
<h3>r(5):</h3>
5 ∈ [5, + ∞)
r(5) = 4 · 5 - 7
r (5) = 13
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
To learn more on piecewise functions: brainly.com/question/12561612
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