Find the exact value of sin(0) for an angle 0 with cos(0)

¾ and with

its terminal side in Quadrant III.

Answer:

Below

Step-by-step explanation:

600 = cost

.08 * 600 = tax    

Add the two together    600 + .08 (600) = 1.08 * 600 = $ 648

A function assigns the values. The correct options are A, B, and E.

A function assigns the value of each element of one set to the other specific element of another set.

The situations that can be best modelled by exponential functions are:

A) The yearly depreciation of a car.

B) An investment compounded annually.

E) The annual growth rate of a city's population.

Hence, the correct options are A, B, and E.

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Answer:

Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.

Step-by-step explanation:

The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.

Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.

Now let's examine the given answer choices:

A. .4,4,5,5,6,6

B. .4,10,4,11,4,12

C. 8,9,8,10,8,11

D. 10,10,10,11,10,12

Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.

Therefore, based on the given scatter plot, the set of numbers that matches the points is C.

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Answer:

4800

Step-by-step explanation:

If a question is asking for the "sum" of numbers, this just means we have to add them altogether.

975+983+923+913+985 = 4779

To find the hundredth place, we use our place value. 4 is in the thousands column, and 7 is in the hundreds. Once we find the hundreds, we need the number to the right of it (7).

7 > 5 so we round up. 7 becomes 8.

4800.

As you can see from the given figure, it is a right-angled triangle.

We are asked to find the measure of angle x.

We know from the trigonometric ratios that

Let us find the angle x

Therefore, 34° is the closest to the measure of angle x.

Social inequality has been prevalent in all kinds of societies throughout history. Societies were never equal, even in ancient civilizations such as Egypt, Greece, and Rome, where there was a clear hierarchy based on birthright, occupation, and wealth.

Social inequality is the systematic differences between social groups in terms of their access to important societal resources, such as wealth, power, education, healthcare, and other resources. The causes of social inequality are complex and multifaceted, ranging from historical legacies, political-economic structures, social relations, cultural attitudes and beliefs, and individual attributes.

One of the key factors that contribute to social inequality is the unequal distribution of resources such as wealth, power, and education, which can perpetuate over time and become institutionalized into social structures and practices. Social inequality can be minimized by implementing various policies and programs aimed at promoting social justice and equity in society. The application of social policies such as affirmative action, universal healthcare, progressive taxation, social security, and education grants and loans can help reduce the inequalities by providing more opportunities for disadvantaged groups to access resources.The sociological theory of conflict theory states that the primary source of social inequality is the inherent conflict between different social groups that have competing interests and goals. The theorists argue that social inequality is perpetuated by the dominant group that controls the resources and uses them to maintain their power and privilege at the expense of the oppressed groups. Therefore, social inequality can only be minimized or eradicated by removing the power and privileges of the dominant group and redistributing resources more equally among all members of society. In conclusion, social inequality has been a fundamental aspect of human societies throughout history. While it is difficult to eliminate completely, implementing policies and programs aimed at promoting social justice and equity can help minimize its effects and reduce the inequalities in society.

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Answer:

6

Step-by-step explanation:

g = x - 9

x = 15

substitute 15 for x in the first equation

g = 15 - 9

g = 6

Answer:

g = 6

Step-by-step explanation:

g = x - 9

x = 15

g = 15 - 9

g = 6

The parent function of a quadratic equation is f(x) = x². The function that is transformed to the right and down from the parent function with a minimum is given by f(x) = a(x - h)² + k.

The equation has the same shape as the parent quadratic function. However, it is shifted up, down, left, or right, depending on the values of  a, h, and k.

For a parabola to have a minimum value, the value of a must be positive. If a is negative, the parabola will have a maximum value.To find the vertex of the parabola in this form, we use the vertex form of a quadratic equation:f(x) = a(x - h)² + k, where(h, k) is the vertex of the parabola.The vertex is the point where the parabola changes direction. It is the minimum or maximum point of the parabola. In this case, the parabola is transformed to the right and down from the parent function, f(x) = x². Therefore, h > 0 and k < 0.

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The ways to collect data in a sample include:

It should be noted that a sample simply means a subset of a population that has the characteristics of the entire population.

In this case, the ways to collect data in a sample include the use of questionnaire, through observations, and through surveys.

l

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To find the value of the expression (1 + 1/x) (1 + 1/x+1) (1 + 1/x+2) (1 + 1/x+3), we need to simplify it.

Expanding the expression, we have: (1 + 1/x) (1 + 1/x+1) (1 + 1/x+2) (1 + 1/x+3) = [(1 + 1/x) * (1 + 1/x+1)] * [(1 + 1/x+2) * (1 + 1/x+3)]. To simplify further, we can combine the terms within each set of brackets: (1 + 1/x) * (1 + 1/x+1) = 1 + 1/x + 1/x+1 + 1/(x * (x+1)), (1 + 1/x+2) * (1 + 1/x+3) = 1 + 1/x+2 + 1/x+3 + 1/((x+2) * (x+3)). Now, we multiply the two simplified expressions: (1 + 1/x + 1/x+1 + 1/(x * (x+1))) * (1 + 1/x+2 + 1/x+3 + 1/((x+2) * (x+3))).

After multiplying and simplifying, we can get the final value of the expression. However, without the specific value of x, we cannot provide a numerical answer. The expression will be in terms of x and cannot be further simplified without the actual value.

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Answer:

3rd Option I think-

Step-by-step explanation:

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).

The first step is to determine the number of each type of box shape that would be needed for the pencils.

Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box

Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes

Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box

Number of cylindrical boxes that would be needed = 2400 / 80 = 30

Now determine the total cost of using each type of box shape.

Total cost of using the  cylindrical boxes = 30 x 0.75 = $22.50

Total cost of using the  rectangular prism boxes  = 40 x 0.50 = $20

Difference in cost = $22.50 - $20 = $2.50

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Answer:

^^ A on edge

Step-by-step explanation:

Answer:

A)

7.2 7 * ⇒ correct

8.5 8 9 ⇒ 9 is the correct answer

12.9 13 * ⇒ correct

3.4 3 * ⇒ correct

11.5 11 12 ⇒ 12 is the correct answer

9.5 9 10 ⇒ 10 is the correct answer

B)

When a decimal number is 5 or more, you must round up, e.g. 4.5 must be rounded up to 5. You round down when the number is 4 or less.

Answer:

shirts are $32 each and hats are $18 each

Step-by-step explanation:

x = shirts

y = hats

2x + 5y = 154

3x + 4y = 168

use either substitution or elimination

x = $32

y = $18

The price of each shirt is $32 while the price of each hat is $18.

let

the price of each shirt  = x

the price of each hat = y

Eva's purchase will be

Nicole's purchase will be

Combine the equation to find the price of each shirt and hat.

2x + 5y = 154

3x + 4y = 168

2x = 154 - 5y

x = 77 - 5 / 2 y

3x + 4y = 168

3(77 - 5 / 2 y) + 4y = 168

231 - 15 / 2 y + 4y  = 168

168 - 231 = - 7 /2 y

- 63 = - 7 / 2 y

cross multiply

-126 = -7y

y = 18

2x + 5(18) = 154

2x + 90 = 154

2x = 154 - 90

2x = 64

x = 64 / 2

x = 32

Price of each shirt  = $32

price of each hat  = $18

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Answer:

2 =x

Step-by-step explanation:

f(x) = 9 - 4x

Let f(x) = 1

1 = 9 -4x

Subtract 9 from each side

1-9 = 9-4x-9

-8 = -4x

Divide by -4

-8/-4 = -4x/-4

2 =x

Answer:

x = 2

Step-by-step explanation:

f(x) = 9 - 4x

1 = 9 - 4x

~Subtract 9 to both sides

-8 = -4x

~Divide -4 to both sides

Best of Luck!

Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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The value of f(0.025) is approximately ±2.086 for an f-curve with df = (20, 5).

The t-distribution is a way of describing a set of observations where most observations fall close to the mean, and the rest of the observations make up the tails on either side. It is a type of normal distribution used for smaller sample sizes, where the variance in the data is unknown.

To find f(0.025) for an f-curve with df = (20, 5), we need to use a t-distribution table.

First, we need to determine the critical value for a two-tailed test with a significance level of 0.05 and 20 degrees of freedom (df).

Looking at the t-distribution table, we find that the critical value is approximately ±2.086.

Next, we can use the formula for the t-distribution to calculate f(0.025):
f(0.025) = t(0.025, 20) = ±2.086

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The chi-square statistic of 3.86 is not statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01.

To determine if the obtained chi-square statistic of 3.86 is statistically significant or not, we need to compare it to the critical value obtained from the distribution of chi-square, which is 6.63, at a significance level of 0.01.

In this case, the obtained chi-square value is less than the critical value, indicating that we fail to reject the null hypothesis. This means that the observed frequencies in the sample are not significantly different from the expected frequencies based on the null hypothesis. The alpha level of 0.01 indicates that we are willing to accept a 1% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. Since the obtained chi-square value is not greater than the critical value, we do not have sufficient evidence to reject the null hypothesis.

In summary, the results are not statistically significant at the 0.01 significance level, based on the obtained chi-square statistic of 3.86 and the critical value of 6.63. This means that there is no significant difference between the observed and expected frequencies, based on the null hypothesis.

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The description of the transformations of the parent functions to produce the graphs of f(x) = sin(2x) and g(x) = csc(2x) are

a. The graphs of f(x) = sin(2x) and g(x) = csc(2x) are a horizontal compression by a factor of (1/2) of the graphs of y = sin(x) and y = csc(x).

b. 0, π/2, π, 3·π/2

c. 0, π/2, π, 3·π/2

A transformation of a function is an operation that changes the function's graph in some way.

a. The graph of f(x) = sin(2x) is obtained by taking the graph of sin(x) and horizontally compressing it by a factor of 1/2. This is because the argument of the sine function has been multiplied by 2, which causes the period of the function to be halved.

The graph of g(x) = csc(2x) is obtained by taking the graph of y = csc(x) and horizontally compressing it by a factor of 1/2. This is because the argument of the cosecant function has been multiplied by 2, which causes the period of the function to be halved.

b. The x-intercepts of the graph of f(x) = sin(2x) are the values of x for which f(x) = 0. Since sin(2x) = 0 when 2x is an integer multiple of π, we can find the x-intercepts by solving the equation 2x = n·π for x, where n is an integer. This gives us x = n·π/2. o four x-intercepts of the graph of f are x = 0, x = π/2, x = π, and x = 3·π/2.

c. The vertical asymptotes of the graph of the function g(x) = csc(2x) are the values of x for which g(x) is undefined. Since csc(2x) is undefined when 2x is an integer multiple of π, we can find the vertical asymptotes by solving the equation 2x = n·π for x, where n is an integer. This gives us x = (n·π)/2. So, four vertical asymptotes of the graph of g are x = π/2, x = 3·π/2, x = 5·π/2 and x = 7·π/2.

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Answer: it’s a I have the same question but I have to solve and they already gave me the answer

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

6x-3=11

6x=11+3

6x=14

x=2.33

2)

15=x/3+2

-2+15=x/3

13=x/3

x=31

3)

-4(x-1)=7(x+4)

-4x+4=7x+28

-4x-7x=-4+28

3x=24

x=8

4)

3(2x+11)=6x

6x+33=6x

33=-6x+6x

no solution

it is G = 11

Step-by-step explanation:

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

The missing piece of information in the proof is that m ∠ DOA and m ∠ BOC are vertical opposite angles.

According to the equality's subtraction property, equality is unaffected by removing the same amount from both sides of an equation. When the same quantity or value is removed from both sides of an equation, the resultant difference is also identical on both sides.

Both the equality's addition and subtraction properties are related. The same integer added to or subtracted from both sides of an equation maintains equality on both sides.

To prove that m ∠ BOC = 90°.

Given that m ∠ AOB exists a right angle triangle.

Therefore; m ∠ BOC must also be equivalent to 90°.

Since m ∠ BOC and m ∠ AOB are right angles, it follows that m ∠ DOA and m ∠ BOC are also vertical opposing angles and, as such, are equal.

So, the fact that m ∠ DOA and m ∠ BOC are vertical opposing angles is the crucial piece of information missing from the proof.

The complete question is:

Given: AOB is a right angle

Prove: m BOC = 90°

Since AOB is a right angle, it is 90°. AOB is supplementary to BOC,

so m AOB + m BOC = 180°. By the substitution property of equality,

90 + m BOC = 180°. Applying the subtraction property of equality,

m BOC = 90%. What statement is missing from the proof?

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according to question the simplified expression is (w + 4) / (w - 5).

To simplify the expression (w^2 + 2w - 24) / (w^2 + w - 30) + 8 / (w - 5), we need to first factor the two quadratic expressions in the numerator and denominator of the first term:

w^2 + w - 30 = (w - 5)(w + 6)

w^2 + 2w - 24 = (w + 6)(w - 4)

So, the first term simplifies to:

(w + 6)(w - 4) / (w - 5)(w + 6) = (w - 4) / (w - 5)

Now, we can rewrite the entire expression as:

(w - 4) / (w - 5) + 8 / (w - 5)

To combine the two fractions, we need to find a common denominator, which is (w - 5). Then, we can add the numerators:

[(w - 4) + 8] / (w - 5) = (w + 4) / (w - 5)

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Answer:

question no c 0•08

Step-by-step explanation:

at first

1/4+1/3-1/2

0•25+0.33-0.50

0.58-0.50

0.08 answer

The formula for v(x) is v(x) = 2x - 3, and its domain is all real numbers. The formula for w(x) is w(x) = 5x + 4, and its domain is also all real numbers.

To find the formulas and domains for v(x) = s(x) / t(x) and w(x) = t(x) / s(x), we will substitute the given expressions for s(x) and t(x) into the respective formulas.

Let's start with v(x) = s(x) / t(x):

v(x) = (2x - 3) / (5x + 4)

To simplify the expression, we need to find a common denominator for the numerator and denominator:

v(x) = (2x - 3) / (5x + 4) * (1 / 1)

Now, we can multiply the numerator and denominator by the conjugate of the denominator, which is (5x + 4):

v(x) = (2x - 3) * (1 / (5x + 4)) * ((5x + 4) / (5x + 4))

Expanding the expression, we have:

v(x) = (2x - 3) * (5x + 4) / (5x + 4)

Canceling out the common factor of (5x + 4), we get:

v(x) = (2x - 3)

Therefore, the formula for v(x) is v(x) = 2x - 3.

To determine the domain of v(x), we need to consider any values of x that would make the denominator (5x + 4) equal to zero. However, in this case, there is no such value since the denominator is a linear function that never equals zero. Therefore, the domain of v(x) is all real numbers.

Now, let's find w(x) = t(x) / s(x):

w(x) = (5x + 4) / (2x - 3)

Following a similar process, we can simplify the expression:

w(x) = (5x + 4) / (2x - 3) * (1 / 1)

Multiplying the numerator and denominator by the conjugate of the denominator, which is (2x - 3):

w(x) = (5x + 4) * (1 / (2x - 3)) * ((2x - 3) / (2x - 3))

Expanding the expression, we have:

w(x) = (5x + 4) * (2x - 3) / (2x - 3)

Canceling out the common factor of (2x - 3), we get:

w(x) = 5x + 4

Therefore, the formula for w(x) is w(x) = 5x + 4.

Similar to v(x), the domain of w(x) is all real numbers since there are no values of x that would make the denominator (2x - 3) equal to zero.

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Answer:

:)

Step-by-step explanation:

The answer is ≈1761.76886