What is the derivative of secx

Answers

Answer 1
Answer: d/dx sec x=d/dx 1/cos x= sec x tan x

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What is 3 1/4 x 4 x 5 1/2

Answers

3 1/4 times 4 is 16 then time 5 1/2 =71.5
the answer should be
71.5

After how many years are the salaries offered by company b and c the same?

Answers

A and B
3000x + 24000 = 2400x + 30000
3000x - 2400x = 30000 - 24000
600x = 6000
x = 6000/600
x = 10 years A and B are the same

B and C
2400x + 30000 = 2000x + 36000
2400x - 2000x = 36000 - 30000
400x = 6000
x = 6000/400
x = 15 years B and C are the same


the difference between two numbers is 9. the first number plus twice the other number is 27. find the two numbers

Answers

So,

Let's translate this into mathematical form.

x - y = 9
x + 2y = 27

Elimination by Addition
Divide both sides of the second equation by 2
(1)/(2)x + y = 13 (1)/(2)

Add the two equations together
(3)/(2) x = (45)/(2)

Multiply both sides by (2)/(3)
x =  (90)/(6) \ or \ 15

Substitute
15 - y = 9

Subtract 15 from both sides
-y = -6
y = 6

Substitute
15 - 6 = 9
9 = 9 This checks.

15 + 2(6) = 27

Distribute
15 + 12 = 27
27 = 27 This also checks.

S = {(15,6)}
a-b=9    ......a=9+b
a+2b=27
(9+b)+2b=27
9+3b=27
3b=27-9
3b=18
b=6
a=9+b=6+9=15

What is 1/6+1/2 in its simplest form?

Answers

you have to find the common denominator for the 2 fractions.
leave 1/6 the same and turn ½ into 3/6.
then you can add 1/6+3/6 and get 4/6
then divide the numerator and the denominator by 2 any get ⅔
so ⅔ is your answer
Hope I helped :)
1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

Jennifer it's two pennies 105 times how many times can expect both going to come up heads

Answers

Jennifer has two pennies. She flips both pennies 105 times each. How many times can she expect both pennies to come up heads simultaneously?

Assuming I have correctly interpreted your question,
The probability both coins come up heads is (1)/(2) * (1)/(2) = (1)/(4)
Thus the expected number of simultaneous heads is 105/4 or 26.25

ken keeps paper clips in a box that is the shape of a cube. Each side of the cube is 3 inches. What is the volume of the cube?

Answers

Volume of cube is length ^ 3 = 3^3 = 9 cubic inches.