MATHEMATICS HIGH SCHOOL

What is the domain of y = cos θ?A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

Answer 1
Answer:

Answer:

Option C - All real numbers                                      

Step-by-step explanation:

Given : Function y=\cos \theta

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

y=\cos \theta

We know, for any value of \theta the function  y=\cos \theta is defined.

Which means the set of all real numbers defined the given function i.e. x\in(-\infty,\infty)

Therefore, Option C is correct.

The domain of  y=\cos \theta is all real numbers.
Answer 2
Answer: The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

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Diana usually drives at average rate of 30 mph.If Diana drives for two hours with the speed of x mph, what distance will she cover?
PLZZZZZZZZZZZZZ HELP QUICK I WILL MAKE BRAINLIST

Answers

The total distance would be 60 miles traveled by Diana drives for two hours with a speed of 30 mph.

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

We have been given that Diana usually drives at an average rate of 30 mph.

she drives for two hours with the speed of 30 mph,

To determine the distance will she cover

Average speed = total distance / total time

Here total time = two hours and the average speed = 30 mph

30 mph = total distance / two hours

total distance = 30 × 2

total distance = 60 miles

Therefore, the total distance would be 60 miles traveled by Diana drives for two hours with a speed of 30 mph.

Learn more about the average speed here :

brainly.com/question/12322912

#SPJ2

Answer: 2x

Step-by-step explanation

Its 2x because we  dont know the speed so we just put the x and the 2 is the hours so its 2x.

What is x when tan24 = 5/x

Answers

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = (5)/(x) ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = (5)/(tan24) ≈ 11.23 ( to 2 dec. places )

Simplify:4sqrt400/4sqrt5. Show your work.

Answers

(4 √(400) )/(4 √(5) ) = ( √(400) )/( √(5) ) = \n (20)/( √(5) ) * ( √(5) )/( √(5) ) = (20 √(5) )/(5) } = 4 √(5)
Thank you.
Simplify:4sqrt400/4sqrt5. Show your work.

Answer: This problem is simple. The process is a little long so in order to provide a good answer I will provide an attachment were all the steps are shown and the notes that are required to understand how to arrive to that answer. Please see attqchment.

I hope it helps, Regards.

How much will my 84% class grade be affected by a 60% test grade?

Answers

Answer:yes

Step-by-step explanation:

yes

Answer:

You haven't given enough information.

50.4%

72%

Step-by-step explanation:

84% × 60%

(63)/(125)=0.504

0.504 = 50.4%

84% + 60% = 144%

144% ÷ 2 = 72%

How do i derive (x^-4) using the limit definition [f(x+h) - f(x) / h]

Answers

f'(x)=\lim\limits_(h\to0)(f(x-h)-f(x))/(h)\n\nf(x)=x^(-4)=(1)/(x^4)\n\nf'(x)=\lim\limits_(h\to0)((x+h)^(-4)-x^(-4))/(h)=\lim\limits_(h\to0)((1)/((x+h)^4)-(1)/(x^4))/(h)=\lim\limits_(h\to0)((x^4-(x+h)^4)/(x^4(x+h)^4))/(h)\n\n=\lim\limits_(h\to0)\left[(x^4-x^4-4x^3h-6x^2h^2-4xh^3-h^4)/(x^4(x+h)^4)\cdot(1)/(h)\right]=\lim\limits_(h\to0)(-4x^3h-6x^2h^2-4xh^3-h^4)/(hx^4(x+h)^4)

=\lim\limits_(h\to0)(h(-4x^3-6x^2h-4xh^2-h^3))/(hx^4(x+h)^4)=\lim\limits_(h\to0)(-4x^3-6x^2h-4xh^2-h^3)/(x^4(x+h)^4)\n\n=(-4x^3-6x^2\cdot0-4x\cdot0^2-0^3)/(x^4(x+0)^4)=(-4x^3)/(x^4\cdot x^4)=(-4)/(x^5)\n\n\nD_f=D_(f')=\mathbb{R}\ \backslash\ \{0\}

UsFollow the steps in purple to evaluate:
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To add or subtract fractions, their denominators
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What number belongs in the green box?

Answers

It is 3hr to me and my sister makes me read that I have one more lol
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