what is the equation of sine function with amplitude of 1 period
of pi/2 phase shift of -pi/3 and midline of 0

Answer:

3

Step-by-step explanation:

Let’s look at the equation of the line in the general form of y = mx + c

we can represent the line as follows;

y -2 = 3x-3

y = 3x -3+2

y = 3x - 1

Now according to the general equation form, the coefficient of x is the slope

The coefficient of x here is 3 and this makes

it our slope

Answer: 3

Step-by-step explanation:

8

The domain of the function f(x) = 4 - |x| is -00 ≤ x ≤ 00

From the question, the definition of the function is given as

f(x) = 4 - |x|

The above function is an absolute value function

The general rule of absolute value functions is that

They can take any real value as their input

Note that the domain of a function is the set of input values the function can take

Since the function is an absolute value function, then

The x values of the graph would start anywhere and increases towards all the axes

This means that the function has a domain of all set of real values

This is represented as

-00 ≤ x ≤ 00

So, the domain is -00 ≤ x ≤ 00

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Northside Christian Academy has 528 students enrolled this year. That is an in- crease of 10% over last year's enrollment. How many students were enrolled last year?

Let

x ------> students enrolled last year

we have that

100%+10%=110%=110/100=1.10

so

528=1.10x

solve for x

x=528/1.10

x=480

Answer:

The correct answer is 4/-6 which gets me to the same answer as-4/6 which is -2/3.

Answer:

Step-by-step explanation:

-4/6 is equivalent to 4/-6

answer is option 3

Answer:

75+ 0.55x = total amount

75 + (0.55 X 60) = $108

Step-by-step explanation:

x is a variable and represents the number of miles you drive, since you drive 60 miles you should figure out how much is 60 miles then add the flat fee of 75

The slope of the blue curve at point A is 5,000 feet per minute, and at point B, it is -3,000 feet per minute.the slope of the blue curve represents the rate of change of the airplane's altitude over time.

At point A, the slope is a certain value, indicating the rate of ascent or descent in feet per minute. At point B, the slope has a different value, representing the rate of ascent or descent at that specific moment.
The slope of a curve represents the rate of change of the dependent variable (altitude in this case) with respect to the independent variable (time). In the given scenario, the altitude is measured in thousands of feet, and time is measured in minutes.
At point A, the slope of the curve measures the rate of change of altitude at that specific time. Let's say the slope at point A is 5 units (thousands of feet) per minute. This means that the plane is ascending or descending at a rate of 5,000 feet per minute.
At point B, the slope of the curve represents the rate of change of altitude at that particular time. Let's assume the slope at point B is -3 units (thousands of feet) per minute. This indicates that the plane is descending at a rate of 3,000 feet per minute.
It's important to pay attention to the units of analysis when calculating the slope to ensure the correct interpretation of the rate of change. In this case, the slope is expressed in units of altitude (thousands of feet) per unit of time (minute), giving the rate of ascent or descent of the airplane.

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Answer:  16

Step-by-step explanation:

All you do is count the space in between 0 and 5 and then take that number and multiply it by itself.  

Answer:

Triangles A and C

Step-by-step explanation:

Look at the angles, they are the same, but not for B

Answer: A and C

Step-by-step explanation:

First they all have the same angle length ( 28, 90, 62) and both equal 106°. Hope this helps you and can someone please help me with my question!

Answer:

All vehicles, cycles, motorcycles, scooters, cars, bus, trucks, trains, etc. can run but can't walk. Aeroplanes can run and fly but can't walk.

Step-by-step explanation:

Answer:

your mouth,  or a river

Step-by-step explanation:

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

The interior angles m∠ADC and m∠DCB in the triangles are 100° and 39° respectively.

The interior angles of a triangle have the sum total of 180° when added up. In other words, the interior angles of a triangle is equal to 180°.

3y + 7 + 3y - 13 = 180° {sum of angles on a straight line}

6y - 6 = 180

6y = 180 + 6 {add 6 to both sides}

6y = 186

y = 186/6 {divide through by 6}

m∠ADC = 3(31) + 7 = 100°

m∠BDC = 3(31) - 13 = 80°

61 + 80 + 4x - 1 = 180°

4x + 140 = 180

4x = 180 - 140

4x = 40

x = 40/4

x = 10

m∠DCB = 4(10) - 1 = 39°

Therefore, the interior angles m∠ADC and m∠DCB in the triangles are 100° and 39° respectively.

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In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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The rate of change of base is 5 cm/min.

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.

Let us assume that

h = height of the triangle

\(\frac{dh}{dt}\) = rate of increase of height = 1 cm/min

A = Area of triangle

\(\frac{dA}{dt}\) = rate of increase of area = 13 cm²/min

Area of traingle, A = 1/2*(b*h)

When A = 12 cm² and h = 4 cm,

Put in above formula,

12 = 1/2 * (b)(4)

∴ b = 6 cm

A = 1/2 * b*h

\(\frac{dA}{dT} = \frac{1}{2}h\frac{db}{dt} + \frac{1}{2}b\frac{dh}{dt} \\\\13 = \frac{1}{2}*4* \frac{db}{dt} + \frac{1}{2}*6*1\\\frac{db}{dt} = 5 cm/min\)

Thus, rate of change of base is 5 cm/min.

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Given:

If AB = 0,

Then it is not necessary that A=0 or B=0

To prove this, we consider an example:

Let n=m = p =2

Then AB is given as:

Clearly AB= 0 but A,B not equals to zero.

Hence, the given statement is not true.

Hence, the answer is false.

To finding the points on the given surface that are closest to the origin using Lagrange multipliers.

The second paragraph would typically involve the detailed calculation steps and the final solutions obtained, but without the specific values for the equation y² = 9 + xz, it is not possible to provide the explicit solutions.

To find the points on the given surface that are closest to the origin using Lagrange multipliers, we need to set up the appropriate optimization problem.

Let's denote the variables as x, y, and z. Our objective is to minimize the distance from the origin, which can be expressed as the square of the distance, D² = x² + y² + z². We also have the constraint y² = 9 + xz, which represents the given surface.

To solve this optimization problem, we introduce a Lagrange multiplier λ and set up the Lagrangian function L = D² - λ(y² - 9 - xz). We take the partial derivatives of L with respect to x, y, z, and λ, and set them equal to zero.

Solving the system of equations formed by these partial derivatives, we obtain the values of x, y, z, and λ that satisfy the optimization problem.

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1,024 GB un TB es 1024 GB espero que te ayude esto

Answer:

B

Step-by-step explanation:

Let y be the function f(x)

for inverse

x =y÷3-2

or, x + 2 = y ÷3

or, ( x + 2)3 =y

so inverse of f(x) is (x + 2) 3

Answer:

$900

Step-by-step explanation:

60x15 because two weeks equals 60 hours in total.

Answer ran 2 3/4 miles in 1/3 of an hour

2 3/4 miles =11/4 miles in 1/3 of hour

11/4 miles divided by 1/3 hr

11/4 ÷ 1/3

11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr

isosceles triangle so angle Q = angle R

and sum of the angles of a triangle = 180

so

y + y + 84 = 180

2y = 96

y = 48

The probability of observing any particular value for a four-degrees-of-freedom t-distribution is nearly zero, and the likelihood that a population item will have a value for this distribution is equal to 1.

When estimating the mean of a normal t-distribution from a small sample in statistics, the t-distribution with four degrees of freedom emerges as a continuous probability distribution.

Given that a t-value t-distribution can be any real number, the likelihood that a population item will have a value for a t-distribution with four degrees of freedom is equal to 1.

In other words, since the distribution is continuous and has an infinite number of possible values, the likelihood of detecting any specific value for a t-distribution with four degrees of freedom is infinitesimally small.

Therefore, The probability of observing any particular value for a four-degrees-of-freedom t-distribution is nearly zero, and the likelihood that a population item will have a value for this distribution is equal to 1.

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There is no valid solution for P(1) given the initial condition P(0) = 20000 in the logistic model.

To find the population P(1) at time t = 1, we can use the logistic model equation and solve it using separation of variables.

The logistic model equation is given by:

P' = bP(15000 - P)

where b = k / M, k is the relative rate of growth, and M is the carrying capacity.

First, let's calculate the value of b:

b = k / M

= 0.05 / 15000

= 1/300000

Now, we can separate variables and integrate:

∫(1 / (P(15000 - P))) dP = ∫(b dt)

To integrate the left-hand side, we can use the partial fraction decomposition:

1 / (P(15000 - P)) = A / P + B / (15000 - P)

Multiplying both sides by P(15000 - P), we get:

1 = A(15000 - P) + BP

Setting P = 0, we find A = 1/15000.

Setting P = 15000, we find B = 1/15000.

Now, we can integrate:

∫(1 / (P(15000 - P))) dP = ∫(1/15000) / P dP + ∫(1/15000) / (15000 - P) dP

= (1/15000) ln(P) - (1/15000) ln(15000 - P) + C

= (1/15000) ln(P / (15000 - P)) + C

On the right-hand side, we have:

∫(b dt) = b t + C

Combining both sides of the equation:

(1/15000) ln(P / (15000 - P)) + C' = b t + C

Simplifying:

ln(P / (15000 - P)) = 15000 b t + C

where C = 15000 (C'-C).

Exponentiating both sides:

\(P / (15000 - P) = e^{(15000 b t + C)}\)

Rearranging the equation:

\(P = (15000 - P) e^{(15000 b t + C)}\)

Multiplying both sides by (15000 - P):

\(P (1 + e^{(15000 b t + C)}) = 15000 e^{(15000 b t + C)}\)

Dividing both sides by\((1 + e^{(15000 b t + C))}\):

\(P = 15000 e^{(15000 b t + C)} / (1 + e{^(15000 b t + C))}\)

Now, we can substitute the values P(0) = 20000 and t = 1:

\(20000 = 15000 e^{(15000 b * 0 + C)} / (1 + e^{(15000 b * 0 + C))}\)

\(20000 = 15000 e^C / (1 + e^C)\)

Solving for C:

\((1 + e^C) * 20000 = 15000 e^C\)

\(20000 + 20000 e^C = 15000 e^C\)

\(20000 = 15000 e^C - 20000 e^C\)

\(20000 = -5000 e^C\)

\(e^C = -20000 / 5000\\ = -4\)

Since \(e^C\) cannot be negative, this solution is not valid.

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Check the picture below.

so the base of the pyramid is a triangle whose base is 12 and altitude is "x", and the pyramid has a height/altitude of 15, so

\(\textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(12)(x)\\[1em] h=15\\ V=240 \end{cases}\implies 240=\cfrac{1}{3}\left[\cfrac{1}{2}(12)(x) \right](15) \\\\\\ 240=30x\implies \cfrac{240}{30}=x\implies 8=x\)

The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

⇒ -49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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The length of each shorter side is 10 centimeters in the given case.

Let's call the length of the shorter side "x".

The formula for the perimeter (distance around) of a rectangle is:

Perimeter = 2Length + 2Width

We are given that the perimeter is 44 centimeters, and that the length of each longer side is 12 centimeters.

The perimeter of a shape is the distance around its boundary.

The formula for the perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

where "Length" and "Width" are the dimensions of the rectangle.

The formula for the perimeter of a square is:

Perimeter = 4 * Length

where "Length" is the length of a side of the square.

The formula for the perimeter of a triangle is:

Perimeter = Side1 + Side2 + Side3 So we can plug in these values and solve for the length of the shorter side:

44 = 2(12) + 2x

44 = 24 + 2x

20 = 2x

x = 10

Therefore, the length of each shorter side is 10 centimeters.

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Answer:

yo bro

Explanation:

im no there to answer but im doing a challenge so pls dont report me

If one is listening to a work from the genre tembang sunda, the statement that is never true is "Main Answer".
Tembang Sunda is a genre of traditional music from the Sundanese people of West Java, Indonesia. It is characterized by its unique melodies, vocal techniques, and instruments.

To determine which statement is never true, let's analyze the options:
"The lyrics are sung in Sundanese language." This statement is true, as Tembang Sunda songs are typically sung in the Sundanese language.
"The music is accompanied by traditional Sundanese instruments." This statement is also true, as Tembang Sunda is known for its traditional instrumentations like suling (bamboo flute), kacapi (zither-like instrument), and angklung (bamboo instrument).
"The genre originated in Bali, Indonesia." This statement is false, as Tembang Sunda originated in West Java, not Bali.

If one is listening to a work from the genre tembang sunda, it is important to understand the characteristics and elements of this traditional Sundanese music. Tembang Sunda is a genre of music that originates from the Sundanese people of West Java, Indonesia. It is known for its unique melodies, vocal techniques, and instruments. When listening to a work from this genre, there are certain statements that may or may not be true. Let's analyze the options provided:

"The lyrics are sung in Sundanese language." This statement is true. Tembang Sunda songs are typically sung in the Sundanese language. The lyrics often revolve around themes of love, nature, and spirituality.

"The music is accompanied by traditional Sundanese instruments." This statement is also true. Tembang Sunda is known for its traditional instrumentations, such as suling (bamboo flute), kacapi (zither-like instrument), and angklung (bamboo instrument). These instruments contribute to the distinct sound and atmosphere of the music.

"The genre originated in Bali, Indonesia." This statement is false. Tembang Sunda originated in West Java, not Bali. It is deeply rooted in the cultural traditions and heritage of the Sundanese people.

Therefore, the statement that is never true when listening to a work from the genre tembang sunda is "Main Answer". Tembang Sunda is characterized by lyrics sung in Sundanese language, accompanied by traditional Sundanese instruments, and originates from West Java, Indonesia.

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The experimental probability of rolling a number less than 3 is 0.11 or 11% when rolling a 12-sided solid numbered from 1 to 12, based on the provided data.

The number of faces that are numbered less than 3 on a 12-sided solid is 2, i.e., 1 and 2. Therefore, the probability of rolling a number less than 3 can be calculated by adding the frequencies of rolls that resulted in 1 and 2, and then dividing the sum by the total number of rolls.

From the table, we can see that the frequency of rolling a 1 is 10 and the frequency of rolling a 2 is 12. Therefore, the total frequency of rolling a number less than 3 is 10 + 12 = 22.

The total number of rolls is 200.

The experimental probability of rolling a number less than 3 is the frequency of rolling a number less than 3 divided by the total number of rolls:

Experimental probability = Frequency of rolling a number less than 3 / Total number of rolls

Experimental probability = 22 / 200

Experimental probability = 0.11

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