Answer:
see explanation
Step-by-step explanation:
given
f'(x) = 12cos x - 4sin x, then
f'(
) = 12cos(
) - 4sin(
)
[ cos(
) = -cos(
), sin(
= - sin(
) ]
= -12cos(
) + 4sin(
)
= - 12 ×
+ 4 × 
= - 6 + 2
≈ - 2.536 ( 3 dec. places )
Answer: 30 percent.
Step-by-step explanation: First do 3,500 divided by 10 to find the cost of each shirt. Second subtract 7 from 10 which is 3. Then divide 3 by ten because you always divide by the amount being paid for. So 3 divided by 10 is .3 then multiply .3 by 100 which is 30 and that is your percent markup
To find f(3), plug x = 3 in f(x),
∴ f(3) = 3(3)+1 = 9+1 = 10
Therefore, the ordered pair is (3,10)
For second one,
plug x = 10 in f⁻¹(x),
f⁻¹(10) = 10-1/3 = 9/3 = 3
Therefore, the ordered pair is (10,3)
The answer is B. <span>Two lines are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle. A perpendicular line has to intersect and have a 90-degree angle in order to be perpendicular.</span>
The correct answer is option (C) median.
The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.
<h3>What is the mean, median and mode? </h3>
The mean, median, and mode are the three most commonly used measures of central tendency for populations that do not have much data, that is, they do not need to be grouped.
The mean, also known as average, is the value obtained by dividing the sum of a cluster of numbers by the number of them.
When arranging the numbers from least to largest, the median sits exactly in the middle of the values that are above. The median is a set that is a value that is in the middle of the other values.
The number that appears most frequently in a set of numbers is called the mode.
So, The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.
To learn more about central tendency, visit: brainly.com/question/28101345
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