Algebra 2, please help! thank you
The function y = 2 cos 3(x + 2π∕3) +1 has a phase shift (or horizontal shift) of

A) –2π∕3
B) 3
C) 1
D) 2

Answers

Answer 1

Answer:

-2pi/3

Step-by-step explanation:

y = 2 cos 3(x + 2π∕3) +1

y = A sin(B(x + C)) + D  

amplitude is A

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

We have a shift to the left of 2 pi /3

Answer 2

Answer:

A

Step-by-step explanation:

The standard cosine function has the form:

[tex]\displaystyle y = a\cos (b(x-c)) + d[/tex]

Where |a| is the amplitude, 2π / b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]\displaystyle y = 2 \cos 3\left(x + \frac{2\pi}{3}\right) + 1[/tex]

We can rewrite this as:

[tex]\displaystyle y = \left(2\right)\cos 3\left(x - \left(-\frac{2\pi}{3}\right)\right) + 1[/tex]

Therefore, a = 2, b = 3, c = -2π/3, and d = 1.

Our phase shift is represented by c. Thus, the phase shift is -2π/3.

Our answer is A.


Related Questions

Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học. Hãy ước lượng khoảng đối xứng cho tỉ lệ sinh viên chăm học của trường với độ tin cậy 95%

Answers

Answer:

can't understand the language

6x/x+6
Find all real numbers for which the rational expression is undefined.

Answers

Answer:

x=-6

Step-by-step explanation:

For the rational expression, 6x/(x+6) to be undefined, the denominator need to be 0, so x=-6 is the point at which the function is undefined.

The rational expression 6x / (x + 6) is undefined when x equals -6, and it is defined for all other real numbers.

To find the real numbers for which the rational expression 6x / (x + 6) is undefined, we need to identify the values of x that would make the denominator equal to zero. When the denominator is zero, the expression becomes undefined.

In this case, the denominator is (x + 6). Setting the denominator equal to zero, we have:

x + 6 = 0

Solving for x, we subtract 6 from both sides:

x = -6

Therefore, the rational expression 6x / (x + 6) is undefined when x = -6.

When x is equal to -6, the denominator becomes zero, which causes division by zero. Division by zero is undefined in mathematics. Hence, for x = -6, the rational expression is not defined.

For any other real numbers other than x = -6, the expression is defined and can be simplified or evaluated.

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Last month a factory produced 800 television sets. This month the same factory produced 1064 television sets. What percent did production increase?

Answers

Answer:

33%

Step-by-step explanation:

Increase is equal to (1064-800)

=264

So the percent = (264/800)×100

=33%

The factory's output went up by around 33% from last month to this month, reflecting a significant growth in television set production.

To calculate the percentage increase in production, we use the concept of percentage change.

The formula for percentage change is = [(new value - old value) / old value] × 100,

In this case, the old value is 800 (last month's production) and the new value is 1064 (this month's production).

The percentage increase in production can be calculated as follows:

[(1064 - 800) / 800] × 100 = (264 / 800) × 100 ≈ 33%.

Therefore, the production increased by approximately 33%.

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Help needed!!!
Find the length of the segment indicated.
A. 12.1
B. 16.4
C. 13.3
D. 11.4

Answers

Answer:

A

Step-by-step explanation:

using the theorem of Pythagoras

x = sqrt* 19.6 ^2 - 15.4^2*

x = 7× sqrt* 3*

x = 12.1 units

Answer:

A.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

Find the slope of the line containing the points (2, 7) and (-5, -4).

Answers

the answer is 11/7.you can see the image

Answer:

[tex]\boxed {\boxed {\sf \frac{11}{7}}}[/tex]

Step-by-step explanation:

The slope describes the direction and steepness of a line. The formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points the line contains. For this problem, the line contains the points (2,7) and (-5, -4). Therefore:

x₁= 2 y₁ = 7 x₂ = -5 y₂ = -4

Substitute these values into the formula.

[tex]m= \frac{ -4 -7}{-5-2}[/tex]

Solve the numerator (-4 -7 = -11).

[tex]m= \frac{ -11}{-5-2}[/tex]

Solve the denominator (-5-2 = -7).

[tex]m= \frac{ -11}{-7}[/tex]

Simplify the fraction. The 2 negative signs cancel each other out.

[tex]m= \frac{11}{7}[/tex]

The slope of the line is 11/7

A card is drawn from a well shuffled deck of 52 cards what is the probability of drawing an ace or a six

Answers

Answer:

8/52

Step-by-step explanation:

The first thing to do is write it out;

How many aces are in a deck and how many sixes?

There are 4 of each so, 4+4 = 8 therefore our beginning ratio will be;

8/52 cards are going to be an ace or a six.

A car dealership is advertising a car for $16,299.99. If the sales tax rate is 6.5 percent, what
is the total tax paid for the car?
A. S993 34
B. $1.000.00
CS1.059 50
DS1.359.19

Answers

Answer:

C. 1059.50

Step-by-step explanation:

Sales price x sales tax rate = sales tax

16299.99 x .065 (6.5%) = 1059.50

3. Using the identity (a + b)² = (a² + 2ab + b²), evaluate 122²
.....



plz it's request to do answer fast and I will make him or her brainlist ​

Answers

[tex]\\ \sf\longmapsto 122^2[/tex]

[tex]\\ \sf\longmapsto (100+22)^2[/tex]

[tex]\\ \sf\longmapsto 100^2+2(100)(22)+22^2[/tex]

[tex]\\ \sf\longmapsto 10000+4400+484[/tex]

[tex]\\ \sf\longmapsto 14400+484[/tex]

[tex]\\ \sf\longmapsto 14884[/tex]

112²

Using Identity

(a + b)² = (a² + 2ab + b²)

Solution

⇛122²

⇛(100 + 22)²

⇛(100)² + 2 × 100 × 22 + (22)²

⇛10000 + 4400 + 484

⇛14400 + 484

⇛14884

Find the missing side or angle round to the nearest tenth b=15 a=30 c=29 A=[?]°

Answers

Answer: 79

Step-by-step explanation:

i just did it on acellus and its right

43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. What is the margin of sampling error for a 95% confidence interval?

A. 9.7%
B. 5.4%
C. 43%
D. 19.4%

Answers

Answer:

A. 9.7%

Step-by-step explanation:

margin of error:

z * [tex]\sqrt{\frac{p(1-p)}{N} }[/tex]

n is sample size

z is the z score (for a 95% confidence interval you would use 1.96)

p is the sample proportion

to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.

in this case we are given 43% so 0.43.

in the formula :

1.96 * [tex]\sqrt{\frac{0.43(1-0.43)}{100} }[/tex]

if you calculate this you get around 0.09703 this is 9.7%

Margin of error is 9.7% (A)

ρ = 43% which is equal to 0.430

[tex]1 - P = 1 - 0.430 = 0.570[/tex]

The number of sample n = 100

We have to calculate Z at 95% confidence interval

∝ = [tex]1 - 95%[/tex]%

∝ = [tex]1 - 0.95[/tex]

∝ = [tex]0.05[/tex]

∝/2 = 0.025

Z(∝/2) = Z(0.025) = 1.96

Standard error = [tex]\sqrt{ ((1-P)xP / n)}[/tex]

Standard error = [tex]\sqrt{(1-0.43)x0.43 / 100)[/tex]

Standard error = [tex]\sqrt{(0.002451)}[/tex]

Standard error = 0.04950758

Standard error = 0.0495

Margin of error = Z*SE. z = 1.96 and standard error = 0.0495

Margin of error = [tex]1.96x0.0496[/tex]

Margin of error = [tex]0.097216[/tex]

Margin of error = [tex]9.7216%[/tex]%

In conclusion, the margin of sampling error for a 95% confidence interval is 9.7%.

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Melissa, Brian, and shen have a total of $85 in their wallets. Brian has 3 times what Shen has. Shen has $10 less than Melissa. How much do they have in their wallets?

Answers

Answer:

Shen has $15, Brian has $45, and Melissa has $25

Step-by-step explanation:

Let x represent how much money Shen has.

Since Brian has 3 times what Shen has, his amount can be represented by 3x.

Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.

Create an equation to represent the situation, and solve for x:

x + 3x + x + 10 = 85

5x + 10 = 85

5x = 75

x = 15

So, Shen has $15 in their wallet.

Find how much Brian has by multiplying this by 3:

15(3) = $45

Find how much Melissa has by adding 10 to this:

15 + 10 = $25

Shen has $15, Brian has $45, and Melissa has $25.

What is the perimeter of the triangle?
units

Answers

Answer:

Does the answer help you?

From the observation deck of a skyscraper, Isabella measures a 67
angle of depression to a ship in the harbor below. If the observation deck is 824 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Answers

The horizontal distance from the base of the skyscraper out to the ship is 349.8feet

Angle of elevation and depression

The angle situated above the hill is known as  the angle of depression

Given the following parameters

Height of the harbor = 824 feet

Angle of depression = 67degrees

According to SOH CAH TOA identity:

tan 67 = opp/adj
tan 67 = 824/d

d = 824/tan67
d = 349.8 feet

Hence the horizontal distance from the base of the skyscraper out to the ship is 349.8feet

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on the same graph draw line 2y-x=10 and y=3x​

Answers

Answer:

Step-by-step explanation:

Which condition must exist in order for conduction to occur between two substances? The molecules of the substances must be touching. Both substances must be the same temperature. At least one substance must be a liquid. Most of the molecules must be slow moving.

Answers

Answer:

The molecules of the substances must be touching

FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.

Answer:

The molecules of the substances must be touching.

A

Step-by-step explanation:

Most brainiest for the right answer on this problem!

Answers

Answer:

82.8

Step-by-step explanation:

mean = sum of all points, over the total given number of points

84 * 26 = 2184

2184 + 69 + 66 = 2319

Now the total number of tests is 26 + 2 or 28

So divide 2319 by 28

2319/28 = 82.82142

rounded to the nearest tenth is 82.8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

2y-x=6 and y=2x+7 graphed equals how many solutions​

Answers

Answer:

One solution

BRAINLIEST, PLEASE!

Step-by-step explanation:

2y - x = 6

2y = x + 6

y = x/2 + 3

y = 2x + 7

After graphing, they have one solution at (-2.667, 1.667).

1/5 divided (-5/7) Can someone please help with this equation and show work

Answers

Answer:

-7/25

Step-by-step explanation:

1/5 ÷ -5/7

Copy dot flip

1/5 * -7/5

-7/25

Evaluate f(g(3)) if f(x)=6x−4 and g(x)=x2.
(Please Explain! Thank you)

Answers

Answer: 50

Step-by-step explanation:

f(x) = 6x-4 and g(x) = x^2

f(g(3)) means what is the value of the function f when it is evaluated at the value of g(3).

So g(x) is x^2 so g(3) is 3^2 = 9

Therefore we put 9 in for f(g(3))= f(9) = 6(9) - 4 = 54 - 4 = 50

About 10​% of 8900 commuters carpool to work. Find the number of commuters who carpool.

How many commuters​ carpool?

Answers

Answer: 890 commuters carpool

Step-by-step explanation:

10% of 8900 = 890

8900/10= 890

Note: 10% to decimal form is 10

Answer:

10% of 8900

10/100×8900

=890

hope this is helpful

A car travels 12 km in 15 minutes.
Work out the average speed of the car in km/h.

Answers

Step-by-step explanation:

s=12km t=15m

15m--> km= 15/60= 0,25h

V=s/t

V=12km/0,25h

V= 48 km/h

A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs. If four eggs are selected at random, without replacement, what is the probability that all four are brown?

Answers

Answer:

The probability will 4.32%.

The probability that all four are brown is 35/8,64,501.

Given that, A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs.

What is the probability without replacement?

Probability without replacement means once we draw an item, then we do not replace it back to the sample space before drawing a second item. In other words, an item cannot be drawn more than once.

If four eggs are selected at random, without replacement, the probability that all four are brown is 7/69 × 6/68 × 5/67 × 4/66

= 7/69 × 3/34 × 5/67 × 2/33

=7/23 × 1/17 × 5/67 × 1/33

=35/8,64,501

Therefore, the probability that all four are brown is 35/8,64,501.

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What is the sum of the interior angles of a regular polygon with 5 sides?

A. 1260
B. 180
C. 360
D. 540

Answers

Answer:

540 is the ans

Step-by-step explanation:

this is the correct answer

180

Step-by-step explanation:

the measure of interior angles of polygon =180×(n-2)

Which ordered pair is a solution to the system of inequalities? y > 2x
y > 7
A. (0, 0) B. (4, 8) C. (3, 7) D. (1, 9)

Answers

Answer:

D( 1,9)

Step-by-step explanation:

First y must be greater than 7 which eliminates A and C

y must be greater than 2 times the x value

2*4 = 8 so B is eliminated

2*1 = 2  which is less than 9  Choice D is a solution

if k = p+2q/3 , find the value of p when k=7 and q=3​

Answers

Answer:

k = p+2q/3

Step-by-step explanation:

k=7 and q=9

7 = p+(2*9)/3

7 = p+18/3

7 = p+6

7-6 = p

1 = p

Hope it helps!

Hope it's help you!!!! Have a good day/night

State the additional congruency statement t(s) needed to prove triangle ABC cong triangle FGH for the given theorem A.SAS Theorem B.ASA theorem

Answers

Answer:

part a:

AC=HF (Given)

angle BAC= angle GFH (Given)

ans: BA=GF

part b:

Angle BAC= angle GFH (Given)

AC=HF (Given)

ans: Angle BCA = Angle GHF

Or

AngleABC = Angle FGH

58. In nine given numbers, the average of first five numbers is 20 and that of the last five numbe also 20. If the average of mine numbers is 16. what is the fifth number?​

Answers

im not sure sorry but 26 maybe as the adverga

730 million, 5
how to write it in digits

Answers

Answer:

730 million in numbers = 730,000,000

730M in short form.

The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)

Answers

Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

Find the value of x.

Answers

Answer:

[tex]here \: the \: two \: sides \: are \: equal \: so \: \\ the \: triangle \: is \: issosceles \\ then \: x = 40 \\ thank \: you[/tex]

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