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

What is the amount of interest that Sam will pay on his $5000 loan if his monthly payment for three years is 150

Answers

Answer:

Amount of interest pay by Sam = $400

Step-by-step explanation:

Given:

Amount of loan taken by Sam = $5,000

Monthly payment made by Sam = $150

Number of year payment made by Sam = 3 Year

Find:

Amount of interest pay by Sam

Computation:

Total amount pay by Sam in 3 year = Monthly payment made by Sam x 12 x 3

Total amount pay by Sam in 3 year = 150 x 12 x 3

Total amount pay by Sam in 3 year = $5,400

Amount of interest pay by Sam = Total amount pay by Sam in 3 year - Amount of loan taken by Sam

Amount of interest pay by Sam = $5,400 - $5,000

Amount of interest pay by Sam = $400

A frame for a collage of pictures is in the shape of a trapezoid. The two bases are 15 inches and 20 inches. The height of the trapezoid is 12 inches. What is the area enclosed by the frame?​

Answers

Answer:

A=210in^2

Step-by-step explanation:

A=b1+b2/2h

A=(15+20)/2(12)

A=35/2(12)

A=17.5(12)

A=210 in^2

what is 3x+2=x−6 what the answer

Answers

Answer:

x=-4

Step-by-step explanation:

3x+2=x-6
-x -x
2x +2 =-6
-2 -2
2x =-8
/2 /2
x=-4

Which of the following equations relates the radius of a circle to its diameter? A) 2r = d. B) 2d =r 1 2 A = ir?​

Answers

Answer:

A

Step-by-step explanation:

Is this circumference or Area ?
Plz help me plz I beg u no links olz

Answers

Answer:

This would be area because you are trying to find the total area that the sprinkler water touched and not the perimeter(circumference) of it

Hope this helps :)

To begin a bacteria study, a petri dish had 2400 bacteria cells. Each hour since, the number of cells has increased by 3.6%.
Lett be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and t

Answers

Answer:

Y=2400*3.6^t

Step-by-step explanation:

y=a*b^x

a is the initial amount

b is the decrease/increase rate

x is the amount of time

Hope it helps!

Which is a diagonal through the interior of the cube?

AH
BE
CH
FG

Answers

AH is the answer

hope this helps

what are the coordinates of the resulting point (2,1)​

Answers

x axis 2 y axis 1






i dont know really kno i think im right tho

Once the Bolsheviks seized control of Russia’s government Lenin began to negotiate an armistice with the Central Powers. Why were many Russians concerned with Lenin’s plan to end Russia’s participation in the war?

Answers

Answer:

I'm reading about it and mostly they're saying they were concerned with internal conflict within Russia. I'm not positive, it could be because of the loss of land, but it appears to be more politically motivated. uprisings with in the country. so my best guess would be none of the above

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log 3
B. log(2) + log
log(3)
C. log(3)
D. log 2

Answers

Answer:

c

Step-by-step explanation:

log2-log 6=log(2/6)=log (1/3)

log(2) + log(1/6)

log(1/3)

300$ at 6% for 2 yrs what is the simple interest​

Answers

Answer:

Simple interest after 2 year = $36

Step-by-step explanation:

Given:

Amount invested = $300

Number of year amount invested = 2 year

Rate of interest per year = 6% = 6/100 = 0.06

Find:

Simple interest after 2 year

Computation:

Simple interest formula;

Simple interest = [Amount invested][Rate of interest][Number of year]

Simple interest after 2 year = [300][0.06][2]

Simple interest after 2 year = [18][2]

Simple interest after 2 year = $36

hi please helpppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Hope it helps:)))

Can i have brainy plzzz

Answer this question to get marked as barinliest!!!!!

Answers

Answer:

D- 30 square units

Step-by-step explanation:

5 times 12 =60

60/2= 30

What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34

Answers

Answer:

Step-by-step explanation:

cos(∠X) = adj./hyp.

arccos(adj./hyp.) = ∠X

arccos(13/18) = 43.761...≈ 43°

Solve for y please help!!!!!

Answers

Answer:

148

Step-by-step explanation:

3p + 85 +2p -10 =180

5p+75=180

5p=105

p=21

3p+85

3(21)+85=148

Given the diagram below, find the height of the shorter tree.

16.2 m
7 m
13 m
19.7 m

Answers

Answer:

h = 13 m

Step-by-step explanation:

The triangles are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{h}{39}[/tex] = [tex]\frac{16}{48}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3h = 39 ( divide noth sides by 3 )

h = 13

f(x)=x^2. What is g(x)?

A. g(x) = x^2

B. g(x)=-2x^2

C. g(x)=x^2 - 2

D. g(x)=-x^2 - 2​

Answers

Answer:

B

Step-by-step explanation:

TRUST.

if im wrong im really sorry

i would have failed you

i would feel guilty

and I would forget about it in like 5 minutes

Apples are sold in a supermarket at £1.20 per gram. What would be the cost of the apples being weighed on the scales below?

Please help.

Answers

Answer:

£ 4.20

Step-by-step explanation:

1 kg= £1.20

3.5 kg = £1.20*3.5

=£ 4.20

The cost of the apples being weighed on the scales would be £ 4.20

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

We are given that Apples are sold in a supermarket at £1.20 per gram.

Therefore, we know that

1 kg= £1.20

For 3.5 kg

= £1.20 x 3.5

=£ 4.20

The cost of the apples is £ 4.20

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

I really need help on this i dont know how to do it.

Answers

Answer:

Step-by-step explanation:

25x = 300

Rearrange to solve

x = 300 divided by 25 = 12

Hope this helps

The difference between two numbers is 10 and their sum is 20. Find the biggest number.

Answers

Answer:

15

Step-by-step explanation:

x - y = 10, then x = 10 + y

x + y = 20

substitute for x:

10 + y + y = 20

2y = 10

y = 5

x = 10 + 5 = 15

The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity
gets added to the bill.
If the dentist finds n cavities, what will the cost of the visit be?

Answers

Answer:

I believe the answer will be 50+100n dollars

Step-by-step explanation:

n is the number of cavities so however many cavities there is, it gets multiplied by 100, in this case, it is 100*n which is 100n. So your final cost would be 50+100n dollars.

SOMEBODY PLEASE EXPLAIN THE ANSWER

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?

A: y=165x+12
B: y=12x+165
C: y=12x+55
D: y=55x+12

Answers

It's C or A

Step-by-step explanation

this is because of the Commutative Property.

The equation of a circle is ​ (x−2)2+(y−12)2=64 ​ . What is the circle's center? Enter your answer by filling in the boxes.

Answers

Answer:

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

i also provided with a chart i dont know if it will help

I need help please thank you

Answers

Answer:

it will look like this let me know if I'm right and GOOD LUCK!

Step-by-step explanation:

The juice box below is 6 inches tall, 2 inches wide and 4 inches long. Find the surface area and volume of the juice box. please need help asap will give lots of points​

Answers

Answer:

104

Step-by-step explanation:

A=2(wl+hl+hw)

Answer:

Solution given:

length[l]=5in

base[w]=2in

height[h]=6in

we have

surface area=2(lw×lh×wh)=2(5×2+5×6+2×6)

=104in²is surface area of juice box.

again

we have

volume =lwh=5×2×6

=60in³ is volume of juice box.

4 (3x +5) what is the value when x=11​

Answers

Answer:

152

Step-by-step explanation:

4 (3x +5) Plug in

4(3(11) + 5)

4(33 + 5)

132 + 20

152

4(3x +5)

=4(3.11+5)

= 4(33+5)

= 4. 38

=152

someone do this real quick for me

Answers

Answer:

295.68

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

first multiply the numerator you will get 729multiply the denominator you get 6561then simplify your answers

Step-by-step explanation:

3⁶/3⁸

= 3 × 3 × 3 × 3 × 3 × 3/ 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3

= 1/ 3 × 3

= 1/9 (option C)

= 1/3²

= (1/3)² (option D)

= 3-² (option B)

sorry! I forgot the picture in my last question. Still trying to figure brainly out lol! I cant figure out the last blank one. Some help please? Thanks!

Answers

Answer:

-1y² the rest is right

Step-by-step explanation:

14.
Given that sin θ= 1 / √2, we want to find the value of tan θ.
First, find the value of θ.

Answers

Answer:

value of tan θ = 1

Step-by-step explanation:

To find θ do the asin of 1/√2

θ = asin (1/√2)

θ = asin (0.707106781)

θ = 45

and then to find tan θ, do tan 45

tan 45 = 1

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