The rate of change in temperature is −17°F/min
<h3>Rate of change of a function</h3>
The formula for calculating the rate of change of a function is expressed as:
Rate of change = rise/run
This is also known as the slope of the function
Given the following parameters
Temperature = −25.5°F
Cooling time = 1.5mins
Determine the rate of change
Rate = −25.5°F/1.5min
Rate = −17°F/min
Hence the rate of change in temperature is −17°F/min
Learn more on rate of change here: brainly.com/question/8728504
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Answer: The slope is 4/9 or -4/-9.
Step-by-step explanation:
(1,5)
(10,9) Find the difference in the y values and divide it by the difference in the x values.
5-9= -4
1- 10= -9
-4/-9= 4/9
so the slope is 4/9
Using the slope we could also find the y-intercept and write the equation.
5=4/9 (1) + b where b is the y-intercept
5= 4/9 + b
-4/9 -4/9
b= 41/9
Now we will have the equation y= 4/9 + 41/9
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
Equation: (2x+5)4=(2x+8)3
X: 2
Perimeter: 36
Step-by-step explanation:
You would multiply 2x+5 and 4 because there are four sides to a square, so the perimeter of the square would be 8x+20. This would go same for the triangle, making the perimeter 6x+24.
So 8x+20=6x+24 is your new equation. Then, you do the opposite of the order of operations, and add or subtract first. It would be easiest to subtract 20 and 6x from both sides.
That leaves you with 2x=4. Dividing 2 by both sides means x=2
You can plug this in to prove if it is correct.
16+20=36
12+24=36
Lmk if you get it!
Answer
Cost of each jersey $6.75
Cost of each pair of socks $4.69
Cost of sales tax $1.03
Step-by-step explanation:
To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.
