Determine which function is represented by the graph.
(a) f ( x ) = 4 cos ( x + π )
(b) f ( x ) = 4 cos 4 x
(c) f ( x ) = 4 sin ( x − π )
(d) f ( x ) = − 4 cos ( x + π )
(e) f ( x ) = 1 − sin x /2

Determine Which Function Is Represented By The Graph. (a) F ( X ) = 4 Cos ( X + ) (b) F ( X ) = 4 Cos

Answers

Answer 1

Answer:

The graph appears to be a cosine function that has been shifted π units to the left and vertically reflected.

Option (d) represents this transformation:

f(x) = -4 cos(x + π)

Therefore, the answer is (d).

Step-by-step explanation:


Related Questions

on a 28 question test there are 2-point questions, 4-point, and 5- point questions. the test is worth a total of 100 points. there are twice as many 2 point questions as 5point questions on the test how many 2point questions are on the test

Answers

Answer:

Number of 2-point questions on the test as per given condition is equals to 8.

Total number of questions in a test = 28

Total points allotted for test = 100

Questions distribution as per points :

2-point questions, 4-point questions, and 5-point questions

'x' represents the 5-point questions

As per condition given,

Number of 2-point questions = 2x

Number of( 2-point  +  4-point +  5-point ) questions = 28

⇒ 2x + 4-point questions  + x = 28

⇒ 4-point questions  = 28 - 3x

Substitute the value in the given condition of the equation we get,

2(2x)+4(28-3x)+5(x) = 100

4x+112-12x+5x=100

112-3x=100

x=4

(Time limit) Tell if the graph is a function or not.
And give me the domain and range.

Answers

Answer:

This graph is not a function.

The domain is -3<x<3.

The range is 1<y<3.

Find the equation of the ellipse with foci at (+-3,0) and major axis of length 12.

Answers

The equation of the ellipse with the foci is x²/36 + y²/(27) = 1.

What is the equation of the ellipse?

The distance between the foci of an ellipse is calculated using the following formula;

c² = a² - b²

Where;

a is half the length of the major axisb is half the length of the minor axisc is the distance between the foci

For this question, a = 6 and c = 3, the value of b is calculated as;

c² = a² - b²

3² = 6² - b²

9 = 36 - b²

b² = 27

b = √27

b = 3√3

The equation of the ellipse is calculated as;

x²/a² + y²/b² = 1

x²/36 + y²/(27) = 1

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An unknown number w is 30 more than an unknown number p. The number w is also p less than 5. The equations to find p and w are shown below: w = p + 30 w = −p + 5 Which is a correct step to find p and w? (1 point) Add the equations to eliminate p. Multiply the equations to eliminate w. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.

Answers

The correct step find p and w is -   add the equations to eliminate p. The correct option is the first option

Solving for variables in a system of linear equations: Determining the correct step to find p and w

From the question, we are to determine which of the given steps is a correct step to find p and w.

The given system of equations is:

w = p + 30

w = −p + 5

From the above equation, we can easily add the equations to eliminate p

That is,

  w = p + 30

+ w = −p + 5

------------------------

2w = 35

We can then solve for  by dividing both sides by 2

2w / 2 = 35 / 2

w = 17.5

To determine the value of p, we can substitute the value of w into any of the equations

w = p + 30

17.5 = p + 30

p = 30 - 17.5

p = 12.5

Hence,

The correct step is add the equations to eliminate p

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whats the improper fraction 17/9 as a mixed number

Answers

The improper fraction 17/9 as a mixed number is A = 1 8/9

Given data ,

Let the mixed number be represented as A

Now , the improper fraction is n = 17/9

On simplifying , we get

The improper fraction 17/9 can be converted to a mixed number by dividing the numerator (17) by the denominator (9) and expressing the quotient as a whole number and a proper fraction.

So , A = 1 8/9

Hence , the mixed number is A = 1 8/9

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An angle of 60 radians can be converted to an angle of____
degrees. (Give an exact answer as a fraction, not a decimal approximation.)

Answers

Answer:

The angle -90 degrees is equivalent to -π÷2 radians.

How we convert the angle −90∘ into radians?

To convert an angle from degrees to radians, we use the formula: radian measure = degree measure * π/180. In this case, we want to convert -90 degrees to radians. So, we substitute -90 into the formula and get:

radian measure = -90 × π÷180

Simplifying this expression, we can cancel the factor of 90 and get:

radian measure = -1÷2 × π

This means that -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact. The reason why we use radians to measure angles is because they are a more natural unit for measuring angles in calculus and other mathematical contexts.

Therefore, -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact.

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I can prove that 2=1, where is the error?

X = 1
X+X = 1+X
2x = 1+X
2x = X+1
2X-2 = X+1-2
2x-2 = X-1
2 (x-1)/(x-1) = X-1/X-1
2 times 1 = 1 1-1 / 1-1
2 = 1

I subtracted -2
because thats the # I chose to subtract with.

Answers

There is no error in steps while proving 2=1

We have to prove 2=1

Let x=1

Add X on both sides

X+X = 1+X

2x = 1+X

2x = X+1

Subtract 2 from both sides

2X-2 = X+1-2

2x-2 = X-1

2(X-1)=x-1

Divide both sides by x-1

2 (x-1)/(x-1) = X-1/X-1

We get 2=1

Hence, while proving 2=1 there is no error in steps

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Which function represents the graph of f(x) = -4 lxl after it is translated 3 units down?

A.g(x) = -4 lxl + 3

B. g(x) = -4 lxl - 3

C. g(x) = -4 lx + 3|

D. g(x) = -4 lx - 3l

Answers

Answer:

B

Step-by-step explanation:

When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.

We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.

Answer B.

dude what is this i dont understand

Answers

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

 

How many roots, real or complex, does the polynomial 7 + 5x* - 3z? have in all?

Answers

Answer:

One.

Step-by-step explanation:

This polynomial has only one variable, which is x*. We can treat z and 7 as constants. Therefore, the polynomial is linear and can be written as:

5x* + c

where c = 7 - 3z.

A linear polynomial has either one root (when the coefficient is non-zero) or zero roots (when the coefficient is zero). Therefore, the given polynomial has exactly one root, which is:

x* = -c/5 = -(7 - 3z)/5 = (3z - 7)/5

PLEASE HELP 50 POINTS

Answers

To check if a solution is correct for a system of equations, we substitute the values of the solution into both equations and see if they are true.

Let's assume that the solution for the system of equations is (x,y) = (1,-1).

To check if this solution is correct for the first equation y = 2x - 3, we substitute x = 1 and y = -1:

-1 = 2(1) - 3

-1 = -1

Since -1 = -1, the solution (1,-1) satisfies the first equation.

To check if this solution is correct for the second equation y = -1/2x + 2, we substitute x = 1 and y = -1:

-1 = -1/2(1) + 2

-1 = 1

Since -1 is not equal to 1, the solution (1,-1) does not satisfy the second equation.

Therefore, the solution (1,-1) is not a solution for the system of equations y = 2x - 3 and y = -1/2x + 2.

10 points. please answer

Answers

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

What are similar triangles?

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Tell me the domain
Tell me the range
Tell me if the graph is a function or not.
The answer choices are below

Answers

The graph in this problem is not a function.The domain of the function is: -2 ≤ x ≤ 6.The range of the function is given as follows: -6 ≤ y ≤ 2.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

In this problem, any vertical line in the interval -2 < x < 6 would cross the circle at two points, meaning that two outputs are associated with a input, and thus the relation is not a function.

The domain and the range of the relation are given as follows:

The domain of the function is: -2 ≤ x ≤ 6 -> values of x.The range of the function is given as follows: -6 ≤ y ≤ 2 -> values of y.

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Determine the value of y, if x is 3.
y = x² + 11

Answers

Answer:

20

Step-by-step explanation:

just a substitute 3 in x so 3x3=9

11+9=20

Of the people who fished at Clearwater Park today, 72 had a fishing license, and 8 did not. Of the people who fished at Mountain View Park today, 63 had a license, and 27 did not. (No one fished at both parks.)

Answers

We can use the information given in the problem to create a table:

| | Fishing License | No Fishing License |
| ------------- | -------------- | ------------------ |
| Clearwater | 72 | 8 |
| Mountain View | 63 | 27 |

To find the total number of people who fished at both parks, we can add up the number of people with a fishing license at each park:

72 + 63 = 135

Therefore, a total of 135 people fished at both parks today.

Which equation represents a direct variation?
Oy - 4x = 8
Oy + 2 = 7x
Oy - 3x = 0
O y = 5x - 2

Answers

The only equation that represents a direct variation is: y - 3x = 0

How to identify direct variation?

Direct Variation is defined as the relationship that exists between two variables in which one is a constant multiple of the other. For example, when one variable changes the other, then they are said to be in proportion. If b is directly proportional to a the equation is of the form b = ka (where k is a constant).

Making y the subject in each of the options gives:

A) y = 4x + 8

B) y = 7x - 2

C) y = 3x

D) y = 5x - 2

Looking at them, the only one where there is a relationship that exists between two variables in which one is a constant multiple of the other is option C

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please help for this question​

Answers

Using the translation vector of 3 units up and 1 unit right resulted to image coordinate of

(3, 7)

(3, 5)

(2, 5)

The image is attached

How to find the translation vector

The translation vector is of the rule 3 units up and 1 unit to the right

The coordinate of the preimage are

(2, 4)

(2, 2)

(1, 2)

The translation is done as below

(2 + 1, 4 + 3) = (3, 7)

(2 + 1, 2 + 3) = (3, 5)

(1 + 1, 2 + 3) = (2, 5)

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PLEASE HELP ( WILL GIVE BRAINLIEST)

Answers

The amount of money Laurie would pay to have the pond cleaned is equal to $3,161.85.

How to calculate the volume of a hemisphere?

In Mathematics and Geometry, the volume of a hemisphere can be calculated by using the following mathematical equation (formula):

Volume of a hemisphere = 2/3 × πr³

Where:

r represents the radius.

Note: Radius = diameter/2 = 13/2 = 6.5 feet.

By substituting the given parameters into the formula for the volume of a hemisphere, we have the following;

Volume of a hemisphere = 2/3 × 3.14 × (6.5)³

Volume of a hemisphere = 574.881 ft³

Cost = 5.50 × 574.881 ft³

Cost = $3,161.85

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when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal

Answers

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Directed line segment PQ has endpoint P (-8,-4) and Q (4,12). Determine the point that partitions the directed line segment in a ratio of 3

Answers

The directed line segment PQ is divided at this point at a 3:1 ratio (1, 8)

According to the section formula, the coordinates of a point R may be determined by dividing a line segment PQ by that point in the ratio m:n as follows:

[tex]R_x = (n * Px + m * Qx) / (m + n)\\R_y = (n * Py + m * Qy) / (m + n)[/tex]

where [tex]P_x, P_y[/tex] are the coordinates of point P, and [tex]Q_x, Q_y[/tex] are the coordinates of point Q.

In this case, we want to divide the line segment PQ in a ratio of 3:1. This means that m = 3 and n = 1.

Using the formula, we can find the coordinates of the point R that divides PQ in a 3:1 ratio:

Rx = (1 * (-8) + 3 * 4) / (3 + 1) = 1

Ry = (1 * (-4) + 3 * 12) / (3 + 1) = 8

Therefore, the point that partitions the directed line segment PQ in a ratio of 3:1 is (1, 8).

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I need help with these problems??

Answers

The value of the variable x;

1. x = -4, BC = 4x + 3 = -13

2. x = 72 degrees

3. x = 5/2, SV = 6.5, ZU = 6.4

4. x = 4

5. x = 5

6. x = 3

What are tangent lines?

Tangent are simply described as any straight line that is drawn from the curve at a point but never reaches the center of the circle.

It is also important to note that tangent segments of a circle are equal.

From the information given, we have that;

1. The tangents are;

4x + 1 = 5x - 3

collect the like terms

-x = 4

x = -4

Then BC = 4x + 3 = -13

2. 2x - 1 = 143

collect the like terms

2x = 143 + 1

2x = 144

x = 72 degrees

3. 3x - 1 = 5x - 6

collect the like terms

-2x = -5

x = 5/2

Then,

SZ = ZU =  3(5/2) - 1 = 15/2 - 1 = 6.5

4. 5x² + 10 = x² + 74

collect the like terms

4x² = 64

x² = 16

x = 4

5. 2x + 7 = 5x - 8

collect the like terms

-3x = -15

divide the values

x = 5

6. 3x - 1.2 = 2x + 1.8

x = 3

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I need help finding 1=cos(8π)+isin(8π) but it has to be divided by 6. I will give 20 points to whoever answers it.

Answers

Answer: 1/6 = cos(8π)/6 + i*sin(8π)/6

Step-by-step explanation: In the context of complex numbers, the division of 1 by 6 can be accomplished by employing a straightforward procedure that involves dividing both the real and imaginary components by 6.

The mathematical expression 1/6 may be represented in academic prose via the complex number format (cos(8π)/6 + i*sin(8π)/6).

Part E
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___

Answers

Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117

How to solve Algebra Word Problems?

Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.

Amount for each basket of apple = $3 each

Amount for each basket of Peach = $4.5 each

Thus, for 10 baskets each:

Apples = 10 * 3 = $30

a = 24 + 30

a = $54

Peaches = 10 * 4.5 = $45

p = 18 + 45

p = $63

Total earnings = a + p

= $54 + $63

= $117

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Complete question is:

Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.

Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.

Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.

Apples: 10 x ____ = ____

24+ ___ = a

Peaches: 10 x ____ =

18+____= p

Total: a+p=$ ___

Length of the Glass = ? if length of 6 glasses is 34 cm and length of 2 glasses 19 cm find length of 1 glass​

Answers

The length of the glass is L = 5.67 cm

Given data ,

Let the length of one glass be "x" cm

According to the given information, the length of 6 glasses is 34 cm.

So, the combined length of 6 glasses is 6x cm, which is equal to 34 cm.

Similarly, the length of 2 glasses is 19 cm.

So, the combined length of 2 glasses is 2x cm, which is equal to 19 cm.

6x = 34 be equation (1)

2x = 19 be equation (2)

Now we can solve these equations to find the value of "x", which represents the length of one glass.

On dividing equation 1 by 6, we get:

x = 34/6

x ≈ 5.67 cm

Hence , the length of one glass is approximately 5.67 cm

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David is trying to pick out an outfit for the first day of school. He can choose from 8 pairs of pants, 8 t-shirts, 4 sweaters or hoodies, and 3 pairs of shoes. How many different outfits does David have to choose from?

Answers

The number of the different outfits do David have to choose is 768.

Here we will use the concept of Combinations,

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Different outfits do Damian have to choose, will be;

⇒ 8C₁×4C₁×8C₁×3C₁

⇒ 8×4×8×3

⇒ 768

Hence, the number of the different outfits do David have to select is 768.

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Help. I need game credits for GMM

Answers

The difference of p and z times the sum of p and z is p² - 2pz - z².

How to represent expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations such as addition, subtraction, division and multiplication.

Hence, the difference of p and z times the sum of p and z can be represented as follows:

Therefore,

(p - z) × (p + z) = (p - z) (p + z)

(p - z) (p + z)  = p² - pz - pz - z²

p² - pz - pz - z² = p² - 2pz - z²

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Let X1, X2, ... be IID with mean . Let So O and Sn {k=1 Xk. Let T be a bounded stopping time for the filtration En 0{X1, ..., Xn}. Prove that E[ST] = uE[T]: First show Sk – ku is a martingale. = (Sr] = EL

Answers

To show that Sk - ku is a martingale, we need to show that it satisfies the two properties of a martingale:

Sk - ku is integrable for all k.

For any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku.

First, we show that Sk - ku is integrable for all k:

E[|Sk - ku|] = E[|(X1 + ... + Xk) - k|]

= E[|X1 + ... + Xk| - k] (using linearity of expectation)

≤ E[|X1| + ... + |Xk|] + k (by triangle inequality)

= kE[|X1|] + ... + kE[|Xk|] + k (using linearity of expectation)

= kE[|X1|] + ... + kE[|X1|] + k (since Xi are IID)

= kE[|X1|] + k (since there are k terms)

< ∞ (since E[|X1|] is finite)

Therefore, Sk - ku is integrable for all k.

Next, we show that for any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku:

E[Sk+1 - ku+1 | E0,...,Ek] = E[(X1 + ... + Xk+1) - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) + Xk+1 - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) - k | E0,...,Ek] + E[Xk+1 | E0,...,Ek]

= Sk - ku + E[Xk+1] (by the martingale property of Sk - ku)

= Sk - ku + u (since the mean of X1, X2, ... is u)

Therefore, Sk - ku is a martingale.

Now, we can use the optional stopping theorem to prove that E[ST] = uE[T]:

By the optional stopping theorem, we have:

E[ST] = E[(Sk - ku)(T - k) + Sku]

= E[(Sk - ku)(T - k)] + E[Sku]

= E[E[(Sk - ku)(T - k) | E0,...,Ek]] + E[Sku] (using law of total expectation)

= E[(Sk - ku)E[T - k | E0,...,Ek]] + E[Sku] (using linearity of expectation)

= E[(Sk - ku)(E[T | E0,...,Ek] - k)] + E[Sku] (using law of total expectation)

= E[(Sk - ku)(T - k)] + E[Sku] (since T is a bounded stopping time)

= E[SkT - kuT - kS + ku] + E[Sku]

= E[SkT] - uE[KT] - kE[S] + ku + E[Sku] (using linearity of expectation)

= uE[KT] - uE[KT] - kE[S] + ku + E[Sku] (using the optional stopping theorem)

= ku + E[S(T-k)]

= ku + E[Sk - k^2] (since T is a stopping time)

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The histogram displays the ages of 50 randomly selected users of an online music service. Based on the data, if the service has 25,000 users, how many of them are 30 and older?

Answers

The number of users that are 30 and older is 10,500.

We have,

From the histogram,

The number of users that are 30 and older.

= 7 + 9 + 3 + 2

= 21

Now,

The percentage of 30 and older users.

= 21/50 x 100
= 21 x 2

= 42%

Now,

Total users = 25,000

So,

The percentage of 30 and older users.

= 42% of 25,000

= 42/100 x 25,000

= 42 x 250

= 10500

Thus,

The number of users that are 30 and older is 10,500.

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Help!!

how many combinations do I have it I select 4 things from a total of 9 without replacement? (9C4)​

Answers

4 things can be selected from a total of 9 without replacement in 126 times without replacement.

What is Combination?

Combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of selection does not matter.

How to determine this

To calculate the combination without replacement

nCr = n!/r!(n-r)!

9C4= 9!/4!(9-4)!

= 9!/4!(5!)

= 9*8*7*6*5*4*3*2*1/4*3*2*1*5*4*3*2*1

= 362880/24*120

= 362880/2880

= 126

Therefore, it can be combined in 126 times

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Police body cameras: A survey of New York State residents asked about police officers having to wear video cameras on duty. The question stated, “Do you agree or disagree that police officers should carry video cameras for the purposes of filming their activities while on duty?” Most (88%) respondents agreed with this statement.

Do Californians share the same opinion? A California-based civil rights group conducted a similar survey by randomly selecting 500 California residents, and 425 agreed that police officers should carry video cameras for the purposes of filming their activities while on duty.

Conduct a hypothesis test to determine if the proportion of California residents who agree is different from New York residents. Use a 5% significance level to make your decision. Use the applet (at the top of this Checkpoint) to determine the P‐value.

Which of the following is an appropriate conclusion based on the results?

Group of answer choices

The survey provides strong evidence that the proportion of California residents who agree that police officers should carry video cameras for the purposes of filming their activities while on duty is significantly different from the proportion of New York residents.

The survey suggests that the proportion of California residents who agree that police officers should carry video cameras for the purposes of filming their activities while on duty is 85%.

Of the California residents surveyed, 85% agree that police officers should carry video cameras for the purposes of filming their activities while on duty, but this is not strong enough evidence to conclude that the proportion of California residents who agree is significantly different from the proportion of New York residents.

This survey suggests that 88% of California residents surveyed agree that police officers should carry video cameras for the purposes of filming their activities while on duty.

Answers

Based on my experiment, My appropriate conclusion based on the results  is option A: The survey provides strong evidence that the proportion of California residents who agree that police officers should carry video cameras for the purposes of filming their activities while on duty is significantly different from the proportion of New York residents.

What was the survey about?

This conclusion is based on the truth that the experiment  conducted in California found that 85% of the respondents matches with the view,  one that is diverse from the extent of Modern York inhabitants (88%) who concurred with the same conclusion .

The "strong evidence" based on the experiment shows that the findings are statistically significant and the conclusion will thus be that the extent of California inhabitants who agree is "essentially wide" from the extent of other York inhabitants, showing some differences between the two populaces.

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