Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x

Answers

Answer 1
Answer: Choice B

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

B = 2pi/T

B = (2pi)/(8pi)

B = 2/8

B = 1/4

This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.


Related Questions

simplify (6)/(\sqrt(3))

Answers

2

3

Explanation:
to simplify we
rationalise the denominator

that is eliminate the radical from the denominator
to do this multiply the numerator/denominator by

3
[
noting in general that

a
×

a
=
a
]


6

3

=
6

3
×

3

3

=
6

3
3
=
2

3

Please help me with this. thank you. :)

Answers

Answer:

11,550

Step-by-step explanation:

1200- 675( because its descending) + 250 ( its ascending) - 525 = 11,550

How can the equation of a parabola be derived when given the focus and the directrix?


Answers

Answer:

If the focus is to the right of the directrix, then the parabola opens to the right and p>0 . If the focus is to the left of the directrix, then the parabola opens to the left and p<0 .

HOPE ITS HELP

What is the solution to 12x=4x2+9? x=23

Answers

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

How can areas of composite 2-D figures be found using simple 2-D shapes?

Answers

Answer:

hmm length x breadth... I'd simple formula

Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?

? x 15 =?

Answers

Answer:

3225 grams

Step-by-step explanation:

215 x 15

Can someone help me??

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer is b
Explanation

What is the equation of the line that passes through
(-5, 0) and (4, 3)?

Answers

Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex]   True!

The sum of three consecutive even numbers is 36. What is the smallest numbers ?

Answers

Answer:

The numbers are 11,12,13

The smallest number is 11

Step-by-step explanation:

Let the first number be x

The next number is x+1

The third number is x+2

x+x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3 = 36-3

3x=33

Divide each side by 3

3x/3 = 33/3

x=11

The numbers are 11,12,13

The smallest number is 11

Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8

0-1
-4
ANSWERS:
4
1/4
-1/4
-4

Answers

Answer:

45

Step-by-step explanation:

(f+g)(x)

f(x)= x-3, g(x)= 2x+8

Don has seven pairs of​ shoes, three pairs of​ pants, and six shirts. If all items are​ compatible, how many different outfits can he​ wear?

Answers

Answer:

126

Step-by-step explanation:

There are 126 different ways he can wear the outfit.

What is Combination?

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Number of pairs of shoes= 7

Pants= 3 pairs

Shirts= 6

So, different outfits can he​ wear

= 7 x 3 x 6

= 21 x 6

= 126

Hence, there 126 different ways he can wear the outfit.

Learn more about combination here:

https://brainly.com/question/8969582

#SPJ5

3) Choose the graph which represents the solution to the inequality:
XS-4x + 15
A)
B)
CS

Answers

Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left

Step-by-step explanation:

2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answers

Answer:

20

Step-by-step explanation:

Knowing that it is a 30-gallon bathtub.

And it fills at a rate of 3 gallons per minute.

But also drains 1.5 gallons per minute.

So this is for the first minute.

3 - 1.5 = 1.5

So there will be 1.5 gallons of water in the tub after the first minute.

Now do,

30 ÷ 1.5 = 20

It will take 20 full minutes for the bathtub to fill up.


An object starts from rest with a constant acceleration of 2m/s^2 along a straight line. Find the distance travelled for the interval of 10 s.

Answers

Answer:

Distance is 100 m

Step-by-step explanation:

From second equation of motion;

[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ [/tex]

s is displacementu is initial velocity, u = 0 [ from rest ]a is acceleration, a = 2 m/s²t is time, t = 10s

[tex]{ \rm{s = (0 \times 10) + ( \frac{1}{2} \times 2 \times {10}^{2}) }} \\ \\ { \rm{s = {10}^{2} }} \\ \\ { \rm{s = 100 \: {m} }}[/tex]

The distance covered is 200m

Data;

acceleration = 2m/s^2time = 10sdistance = ?

Distance Covered

To find the distance covered by the object, we have to use the formula

of velocity. But we are not given the velocity or speed of the object here.

[tex]v = s/t[/tex]

where s and t are the distance and time respectively.

But from acceleration,

[tex]a = v/t\\v = a*t\\v = 2 * 10 \\v = 20m/s[/tex]

The velocity of the object is 20m/s

let's use this to find the distance covered.

[tex]v = s/t\\20 = s/10\\s = 20*10\\s= 200m\\[/tex]

The distance covered is 200m

Learn more on acceleration, distance, velocity and time here;

https://brainly.com/question/6078363

3 2/3 + 2.3 =

5
5 2/3
6
6 1/3

Answers

2.3 is the same as 2 1/3 is the same as 7/3

3 2/3 is the same as 11/3

11/3+7/3=18/3

18/3=6

Answer:6

Find x given the prism has a surface area of 286 in². Explain your thoughts

Answers

Answer:

h

=

3

r

=

4

h

=

2

r

=

6

h

=

4

l

=

4

w

=

4

Step-by-step explanation:

Cushman Company had $842,000 in sales, sales discounts of $12,630, sales returns and allowances of $18,945, cost of goods sold of $399,950, and $289,650 in operating expenses. Gross profit equals:

Answers

Answer: $120825

Step-by-step explanation:

Add everything up then subtract $842000 by it

Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after that. Annalisa made 8 the first day and 12 each day after that.

Part A
Drag the numbers to complete the table below. Each number may be used once, more than once, or not at all.

8 12 32 40
Day Manolo Annalisa
1 16

2 28 20
3

32
Part B
Which of the following is a true statement about the relationship between the number of handbags made by Manolo and Annalisa after each day?

A.
Manolo has always made double the number of handbags made by Annalisa.

B.
Annalisa has always made double the number of handbags made by Manolo.

C.
Annalisa has always made 8 more handbags than Manolo.

D.
Manolo has always made 8 more handbags than Annalisa.

Answers

Answer:

b and c

that is is it

8 and 40 are the answers for the little chart and the other one is D.

How many solutions does the nonlinear system of equations graphed below
have?
O A. Two
O B. Zero
C. One
O D. Four

Answers

Answer:

d four

Step-by-step explanation:

How many solutions does the nonlinear system of equations graphed below have?  

Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.  

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

PLS HELP ASAP PICTURE ATTACHED

Answers

Answer:

100000+)9(87)238388292838

in simplest form is _______.

Answers

Answer:

5/7

Step-by-step explanation:

The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.

Help help help help hell

Answers

Answer:

51°

Step-by-step explanation:

angle2 is equal to 51 degrees

Answer:

∠2 = 51°

Step-by-step explanation:

These are consecutive interior angles that add up to 180°. Same as the other problem, you can solve for the angle like this:

[tex]x+129=180\\x=51[/tex]

A-B equals, if A =5x^2-4x-11 and B=-x^2+3x-5

Answers

Answer:

A-B = 6x^2-7x-6

Step-by-step explanation:

A = 5x^2-4x-11

B = x^2+3x-5

A-B = (5x^2-4x-11) - (-x^2+3x-5) = 5x^2-4x-11+x^2-3x+5 = 6x^2-7x-6

12*100 please do it im in a hurry

Answers

Answer: 1200

Step-by-step explanation:

12*100 = 1200

Add the two 0’s in 100 to the end of 12 and get 1200

name a ray with endpoint u

Answers

i don't know hindi ko po alam

a and b

alam ko

find the unknown angle can someone help me pls what is this how do i even find the unknown angle

Answers

Answer:

1 135

2 45

3 135

4 45

Step-by-step explanation:

think in terms of supplimentary angles. those that add up to 180

1 and 3 are equal because opposite angles are equal so
3 = 135 degrees
angles in a circle = 360
360 - (135 x 2) = 90
90 / 2 = 45 so
2 and 4 are each 45 degrees

Please help. Due in 30 mins!!

Answers

1: 1.645

2. 1.28

4: 95% confidence level (12.93, 13.87)

3: No Idea

5: sorry im a bit rusty

Im so sorry for not answering all you questions

SOMEONE PLEASE HELP Me . My child doesn’t understand this MaTh and THeY really need help. Take this seriously bc we really really need help y’all.

Answers

Answer:

158.4

Step-by-step explanation:

The table shows the relationship between r and s, where s is the independent variable.

Which equation represents the relationship between r and s?

Answers

Answer:

burrito

Step-by-step explanation:

burrito

3. If dy = x^2y^2 , then what is d2y/dx2

Answers

[tex]\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)[/tex]

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