Answer:
Step-by-step explanation:
Apply <u>PEMDAS</u> order of operations:
→ Parentheses
→ Exponents
→ Multiplication
→ Division
→ Addition
→ Subtraction
________________
<u>1) Parentheses:</u>
<u>2) Exponents:</u>
<u>3) Multiplication/Division:</u>
Convert to fraction:
Multiply 2 × 2, and 5 × 1:
Convert to fraction:
Apply fraction rule:
Multiply 4 × 1 and 5 × 3:
<u>4) Addition/ Subtraction:</u>
Finally, Convert fraction to mixed number:
<u>___________________________</u>
Step-by-step explanation:
The difference quotient is simply the slope of the line connecting two points on a curve. For the best approximation, we should use points that are closest to x = 0. In this case, the points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Answer: 2%
Step-by-step explanation:
Let A be the event of having defective steering and B be the vent of having defective brake linings.
Given: P(A) = 0.03 P(B) = 0.05
P(neither A nor B ) = 0.94
Using formula: P(either A nor B) = 1- P(neither A nor B )
= 1-0.94
i.e. P(either A nor B) =0.06
Using formula:P(A and B) = P(A)+P(B)-P(either A or B)
P(A and B) =0.03+0.05-0.06
= 0.02
Hence, the percentage of the trucks have both defects = 2%
-2x + 5 = 1/3x - 22
-7/3x = -27
-7x = -81
x = 81/7 or 11.57
They will intersect when x = 81/7 or 11.57
The value of the temperature in function notation is gotten as; f(x) = 91 - 11x
<h3>How to write a function Notation?</h3>
Let us first find the relationship between temperature and how long the turkey sits out.
The temperature after the normal 390 minutes is equal to approximately 6.5 hours.
Let us create a ratio and solve for x, which represents the temperature change during that extra hour after the "normal time sitting out".
Thus;
(7.5/6.5) = (80/80+ x)
Solving for x gives x = -10.7.
This means that for every extra hour it sits out, the turkey cools approximately 11°. When we add that to 80°, we have 91° which is the expected temperature after 390 minutes (6.5 hours) of sitting out.
Thus, the motion as a function of time is;
f(x) = 91 - 11x
Read more about Function Notation at; brainly.com/question/27834526
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