PLEAS HELPHELP
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given f(x)=sin x and g(x)=cos x, show that f(g(pi/2))=0. Show all your steps.

Answers

Answer 1

Answer:

f (g (pi / 2)) = 0

Step-by-step explanation:

We have the following functions:

f (x) = sin x

g (x) = cos x

The first thing we must do in this case is the composition of functions:

f (g (x))

By making the composition we have:

f (g (x)) = sin (cos x)

We evaluate for x = pi / 2:

f (g (pi / 2)) = sin (cos (pi / 2))

f (g (pi / 2)) = sin (0)

f (g (pi / 2)) = 0


Related Questions

Ms Hogan has more than 20 students in her class.
when she divides the class into groups of 5, there are 4 students left over.
when she divides the class into groups of 4, there is 1 student left over.
what is the least number of students that could be in ms Hogan's class?

i need that asap pleasee

Answers

Answer:

The answer is most likely 29

Step-by-step explanation:

you can have 5 groups of 5 with 4 left over, and 7 groups of 4 with one left over.

What is the length of in the right triangle below?

Answers

Answer:

75

Step-by-step explanation:

root21² + root72²= 75

TIMER !! HELP!!

We KNOW that the______ is going to be located SOMEWHERE on the Axis of Symmetry (theblue Dashed Line)
A . Vertex
B. Y - intercepts
C. zeros
D. mirror points

Answers

Answer:

A

Step-by-step explanation:

The vertex of a parabola lies on the axis of symmetry.

What would you have liked to learn in Art, that you haven't learned?
Please answer my question, I'm doing a Graffiti Project in Art!! ASAP!

Answers

Say “ I would like to learn 3-D shapes and painting self portraits”

Hmm I would like to to learn to draw comics or basically be a comic artist, and wow I’ve never tried graffiti :)

Use the box method to distribute and simplify (5x – 3) (-4x – 5). Drag and drop
the terms to the correct locations of the table.
(5x – 3) (- 4x – 5)
NEED HELEOEO

Answers

Answer:

your answer is below

-20x +15

15. What is the volume of a rectangular prism with a length 8 cm, width 5 cm and height 3 cm?

Answers

Answer:

120cm³

Step-by-step explanation:

V=w·h·l=5·3·8=120cm³

Answer: i hope it help u

Step-by-step explanation:

Please answer correctly! I will Mark you as Brainliest!

Answers

Answer:

Im pretty sure its 7 but wait for someone else to awnser id.k if i did my math correctly or not lol

Step-by-step explanation:

Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.

Answers

look at png sorry i need to type 20 characters but the chart explains everything

simplify your answer but adding/subtracting like terms

Paula is making posters for the school election. The table shows the number of posters, , she can make in m minutes. which equation represents the relationship between the number of posters she can make and the time and minutes it takes her to make the posters. please help​

Answers

Answer:

KitKat

Step-by-step explanationKitKat

What is tan(k)? 45, 24, 52

Answers

Answer:

Try A

Step-by-step explanation:

Suppose a city with population 600,000 has been growing at a rate of 3​% per year. If this rate​ continues, find the population of this city in 22 years.

Answers

Answer:

The answer should be around 1,149663 (Rounded off to the nearest whole number. Also if a population has a remainer you usually add it as 1. This is because these are people)

Step-by-step explanation:

First step involves listing the formulas being used:

600,000= population, 0.03= growth rate 22years= period

Therefore, we take the 600,000 and multiply by 1+0.03 ^22(to the power of 22 or period)

So, 600,000(1+0.03)^22

=1,149662.045 /1,149663

Hope this helps!

How many milliliters are 1/5 liter

Answers

1/5 liters = 200 milliliters

Can someone help me with these questions? I'm really lost.

1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.

2. Graph the piecewise function.
f(x) = { 3x - 5 if x ≤ - 1 / -2x + 3 if -1 < x < 4 / 2 if x ≥ 4

3. Graph the step function over the interval -2 ≤ x ≤ 2.
f(x) = { x+ 3}

Answers

Answer:

Step-by-step explanation:

On the x axis have popcorn going up in 5s and up to the value 30 and on the y axis have drinks going up in 2.5s to the value 15.

The graph should look like similar to an 'exponential graph' because for every popcorn you buy, the drink will be half the price

Its probably late but, I hope this helped!!!.

Answer:

here is the graph!

Step-by-step explanation:

My graph represents the number of drinks and bags of popcorn that Judy will be able to purchase with her $30. For every two drinks Judy buy’s, she would have to buy one less popcorn.

Out of her 5 gigabyte data plan, Debbie has used 37%. How much data does she have left?

Answers

Answer:

3.15GB

Step-by-step explanation:

1000MB = 1GB

1000MB*5 = 5000MB

5000/100*37% = 1850MB USED

SO, 5000-1850 = 3150MB = 3.15GB

Someone please help!! I have to finish this and Im dum.b lol
(( Ignore the first answer, I didnt mean to put true-)

Answers

Answer:

1) False

2) True

3) True

4) False

Step-by-step explanation:

For the first statement, we can look at a graph with the line of y = 3.69x plotted. If we check the points (7.38, 2) and (11.07,3), they do not intersect with the line. So, the first statement is false.

For the second statement, we can check the equation for the line to find the slope. The equation, y = 3.69x, is in slope-intercept form, or [tex]y = mx + b[/tex]. In this form, [tex]m[/tex] is the slope of the line. [tex]b[/tex] is the y-intercept. In this line, there is no y-intercept specified, so we can take this to mean the y-intercept is 0. The slope, we can see, is 3.69. The slope, multiplied by x, shows us any point of the line. The second statement, then, is true.

The next statement can be verified by finding just how much 16 gallons will cost. Like we've seen before, the slope can be multiplied by x, the number of gallons, to see where that point will be plotted. So, we can multiply the slope by 16.

3.69 · 16 = 59.04

The (x) value, we already know, is 16. The (y) value, we've found, is 59.04. So 16 gallons will be plotted at  (16, 59.04). The third statement is true.

The last statement says that if the price increases by $0.05, the slope will be 3.64. We can tell this is false by adding 0.05 to the original slope, 3.69.

3.69 + 0.05 = 3.74

3.74 ≠ 3.64, so the last statement is false.

I hope this was helpful to you ^^

Good luck

A man is four times as old as his son. In five years he will be only three times as old as his
son. What is the man's present age?

Answers

Answer and working out attached, hope this helps

Careers that require a college education often utilize ____________ skills.
A.
professional
B.
vocational
C.
basic
D.
direct

Answers

A. professional skills

Answer:

the correct answer is A professional

Step-by-step explanation:

I need help on this math problem plz show work and answer plz thx

Answers

Step-by-step explanation:

.............. just for filling 20 characters

If the area of a circle is 78.5 cm2, what is the circumference of the circle? Use 3.14 for

Answers

Answer:

25

Step-by-step explanation:

you might wanna use a calculator

Which of the following is not an integer? I need help!

0.54
0
-45
17

Answers

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

.54 is not an integer.

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

please help me thanks

Answers

Answer:

5[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

You subtract all those distances from 22 to calculate the remaining distance.

22-4[tex]\frac{3}{4}[/tex]= 17[tex]\frac{1}{4}[/tex]

17[tex]\frac{1}{4}[/tex]-5[tex]\frac{1}{8}[/tex]=12[tex]\frac{1}{8}[/tex]

12[tex]\frac{1}{8}[/tex]-0=12[tex]\frac{1}{8}[/tex]

12[tex]\frac{1}{8}[/tex]-6[tex]\frac{1}{4}[/tex]=5[tex]\frac{7}{8}[/tex]

So the answer is 5[tex]\frac{7}{8}[/tex]

(Yes I did these in my head)

Mariela bought gas for her car. Gas costs $2.12 per gallon, and
Mariela bought 23.5 gallons. How much did Mariela spend on gas?
Round to the nearest cent.

Answers

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

49.82, You have to multiply the cost of each gallon with the gallons all together (23.5) and you will get 49.82.

x2 + 7y if x = -5 and y = -8

Answers

Answer:

x2 + 7y = -64 (if x = -5 and y = -8)

Step-by-step explanation:

x2 + 7y

(-5 × 2) + (7 × -8)

-10 + -54 which is the same as -10 - 54

-64

The value of expression x² + 7y at x = - 5 and y = - 8 is, - 31.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ x² + 7y

And, x = - 5 and y = - 8

Now, Substitute the value of x and y in the expression, we get;

⇒ x² + 7y

⇒ (-5)² + 7×- 8

⇒ 25 - 56

⇒ - 31

Thus, The value of expression is, - 31.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

the lines shown below are parallel. if the green line has a slope of -2/3, what is the slope of the red line?
PLEASE JUST TELL ME THE ANSWER AND DON’T GIVE ME A LINK!!!

Answers

Answer:

2/3

Step-by-step explanation:

If the line is perpendicular, multiply the slope by -1 to find the answer

what is an equation of the line that passes through the points (4, -1) and (8, -7)

Answers

Answer:

y=5-2x

Step-by-step explanation:

1/5, 0.25, 20.5%, 4/25, 0.22

Answers

Answer 22%

Step-by-step explanation:

Answer:

so I guess I have to put those numbers in a order.

smallest to largest:

4/25, 1/5, 20.5%, 0.22, 0.25

largest to smallest:

0.25, 0.22, 20.5%, 1/5, 4/25

Step-by-step explanation:

1/5 = 0.2

20.5% = 0.205

4/25 = 0.16

Have a nice day!

Please Help me with this question will mark as Brainllest

Answers

Answer:

it is 72

Step-by-step explanation:

pls helppp! thank you so much

Answers

Cge I believe hope this helps

someone help please!!!!

Answers

Answer:

y=4x+3

Step-by-step explanation:

Slope of the line is 4

So the equation of the parallel line is y=4x+b

To find b we use the points

-5=(4)(-2)+b

Solve

-5=-8+b

3=b

Then submit the values

y=4x+3

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