Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

a. y=

b. y=
I really need this pls

The value for Tan 2a = Cot ( a - 70) gives a= 53.33

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Tan 2a = Cot ( a - 70)

As, tan a= cot (90 - a)

So, cot (90- 2a) = Cot (a-70)

Now, comparing the angles we get

90 -2a = a - 70

90 + 70 = a + 2a

3a = 160

a = 160/3

a = 53.33

Hence, the value of a is 53.33.

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Answer:8/9

Step-by-step explanation:if you divide by 2 it will eventually get to the 2/3

The expected value and the standard error for a labor participation rate in the company's sample is 0.0043

In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.

The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).

A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.

We have to find the expected value and the standard error for a labor participation rate in the company's sample.

Working age people sample n = 120

The labor force participation rate in the United States was 66.9% = 0.669

The Expected value is μ = p = 0.669

The standard error:

SE = √p(1-p)/n

SE = √0.669(1-0.669)/120

SE = √0.669*0.331/120

SE = √0.2214/120

SE = √0.001845

SE = 0.043

Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.

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The equilibrium level of income (Y), interest rate (i), consumption (C), investments (I), and budget surplus can be calculated using the given equations and information. When G increases by 100, the new values for investments and budget surplus can be determined. The crowding out effect resulting from the increase in G can also be evaluated. Additionally, if the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r, as well as the crowding out effect, can be determined and explained.

To calculate the equilibrium level of income (Y), we set the total income (Y) equal to total expenditures (C + I + G), solve the equation, and find the value of Y that satisfies it. Similarly, the equilibrium interest rate (i) can be determined by equating the demand for money (L) with the money supply (M/P). Consumption (C), investments (I), and budget surplus can be calculated using the respective equations provided.

When G increases by 100, we can recalculate the new values for investments and budget surplus by substituting the updated value of G into the equation. The crowding out effect can be assessed by comparing the initial and new values of investments.

If the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r can be calculated by simultaneously solving the equations for total income (Y) and the interest rate (i). The crowding out effect in this case refers to the reduction in investments resulting from the increase in government spending (G) and its impact on the interest rate (r), which influences private sector investment decisions.

Overall, by analyzing the given equations and their relationships, we can determine the equilibrium levels of various economic variables, evaluate the effects of changes in government spending, and understand the concept of crowding out.

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Answer:

Right Triangle

Step-by-step explanation:

Answer:

first step

convert 180m and 1 cm in mm that is 180000mm and 10mm

then

ples mark me brainlist

Answer:

197

Step-by-step explanation:

Assuming the question is asking for the sum of 14 squared and 1 cubed, 14 squared is 196 and 1 cubed is 1. Adding these together is 196+1 which gives 197.

The integral of \(13x^3 - 125 dx\) is \((13/4)x^4 - 125x + C\), where C is the constant of integration. The integral of \(13x^3 - 125 dx\)  can be evaluated using the power rule of integration.

To find the antiderivative of \(13x^3 - 125\), we can apply the power rule, which states that the integral of \(x^n dx\), where n is a constant, is \((x^{(n+1)})/(n+1) + C\), where C is the constant of integration.

Using this rule, we integrate each term of the given function separately. For the term \(13x^3\), we have \((13/4)x^4 + C\), where C is the constant of integration. For the term -125, we have -125x + C.

Combining the two results, the integral of \(13x^3 - 125 dx\) is \((13/4)x^4 - 125x + C\), where C is the constant of integration.

It's important to note that absolute values are not necessary in this case since the function \((13/4)x^4 - 125x\) does not involve any variable within an absolute value function. Therefore, the absolute values are not required for this integral.

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Sum of all positive integers having twice as many digits when written in base  $2$  as they have when written is base $3$ is 10.

This is because the only two integers which fits the constraint are 2 and 8,

2 in base 10 =10 in base 2 = 2 in base 3

8 in base 10 =1000 in base 2 = 22 in base 3.

The result of the expression $a+b$ is 11

This is because the LCM of [1!+2!, 2!+3!, 3!+4!, 4!+5!, 5!+6!, 6!+7!, 7!+8!, 8!+9!] =3,628,800

Which can be written as :  1. 10! = 1 + 10 = 11

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B. Function f has exactly two complex solutions.

The graph of the quadratic function is an equation of the variable that has the highest power of two. This function is related to quadratic equations. The general form of the quadratic equation is, a² + bx + c = 0.

The graph of the quadratic function in mathematics is characterized by f(x) = y which is the dependent variable, x is the independent variable, while a and b are coefficients called quadratic equations, which are quadratic equations, have a variable with the highest power of two and are in the form of an equation .

The general form of the quadratic equation is: where x is the independent variable, a and b are the coefficients, and c is a constant. A function is closely related to the graph of the function. So do quadratic functions, which have their own function graphs.

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Answer: 5 5/9

Step-by-step explanation:

cause that’s the answer

5 divided by 9/10, in fraction form, is 50/9.

To divide 5 by 9/10, we can convert the whole number 5 into a fraction with a denominator of 1.

5 can be expressed as 5/1.

We can rewrite the division problem as a multiplication problem by taking the reciprocal (flipping the numerator and denominator) of the divisor:

5/1 ÷ 9/10

= 5/1 × 10/9

Multiply the numerators together and the denominators together:

(5×10) / (1 × 9) = 50/9

Therefore, 5 divided by 9/10, in fraction form, is 50/9.

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The total number of different passwords that can be made is 1,084,480.

To find this:

There are 26 capital letters in the English alphabet, so there are 26 possible choices for the first character of the password.

There are 10 digits from 0 through 9, inclusive, so there are 10 possible choices for the second character of the password.

There are 8 specified symbols, so there are 8 possible choices for the third character of the password.

For the fourth and fifth characters, there are a total of 62 possible choices (26 capital letters + 26 lowercase letters + 10 digits + 8 specified symbols).

Therefore, using these rules, the total number of different passwords that can be made is:

26 (possible choices for the first character) x 10 (possible choices for the second character) x 8 (possible choices for the third character) x 62 (possible choices for the fourth and fifth characters) = 1,084,480 different passwords.

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Therefore,

Hi there!

This should be easy,lol!

Answer:

\(\boxed{-\frac{17}{40} }\)

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator.

Then

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

And then....

Find the Greatest Common Factor (GCF) of 425 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25.

Therefore x = -17/40

In conclusion, – 0.425 = -17/40

Have a great day/night!

Answer:

x-4y = 8

Step-by-step explanation:

y– 1 =1/4 (x – 12)

Multiply each side by 4

4y -4 = x-12

Subtract x from each side

-x +4y -4 = -12

Add 4 to each side

-x+4y -4+4 = -12 +4

-x+4y = -8

Multiply by -1

x-4y = 8

A random variable X has a probability distribution as follows:

X = 0, 1, 2, 3

P(X) = 2k, 3k, 13k, 2k

where k is a positive constant. The probability P(X < 2.0) is 0.25.

What is random variable?

A quantity or item that depends on random events is formalised mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable. It is a function or mapping from potential outcomes to a quantifiable space, frequently to real numbers.

We know that probability sum of all events is 1

Therefore here sum of all probability events =P(X=0)+P(X=1)+P(X=2)+PX=3)=1

2k+3k+13k+2k=1

20k=1

k=1/20=0.05

For P(x<2)=P(X=0)+P(X=1)=2k+3k =5k=5*(1/20)=0.25

Hence the correct answer is b, 0.25

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The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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The comparison Juan could have made is; A: The value of the hundredths digit is one over ten the value of the tenths digit.

We are considering the decimal number 644.66.

Now, let us interpret the decimal number fully to get;

600 + 44 + 4 + 0.6 + 0.06

Now, we can see that the hundredths digit is one over ten the value of the tenths digit because 0.6 * 1/10 = 0.006.

The other options B, C and D are not correct because when we look at them critically with respect to the position of the numbers in the given decimal, it means that they are not correct comparisons.

Thus, we conclude that the comparison Juan could have made is; A: The value of the hundredths digit is one over ten the value of the tenths digit.

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According to the conditional statement, the false option is:

The statement is:

It says nothing about not studying for the test, hence the third and fourth options are ignored.

If you study, you are ensured a grade higher than 75, hence, the false option is:

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Answer:

Linear pair angle of 136 degree =180-136

=44

Therefore angle y is alternate angle of 44

Therefore angle y=44

Answer:

44

Step-by-step explanation:

180 - 136 = 44

Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

Answer:

dil krai chu chai chu chai chuu

The researcher should use regression analysis, as a statistical tool,  because the researcher is working with two variables measured.

Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions.  In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.

Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.

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Answer:

  diameter

Step-by-step explanation:

You want the name for a line segment that passes through the center and has endpoints on the circumference of a circle.

There are several vocabulary terms related to circles. Terms like "radius," "diameter," "circumference," and others, can refer to part of a drawing involving a circle, or they can refer to the measures of those parts.

It can be useful to become familiar with these terms, as you will encounter them often in your study of geometry.

A line segment that passes through the center of a circle and has endpoints on the circumference of that circle is called a "diameter."

The line segment from the center to one of the endpoints of a diameter is called the "radius." It is half the length of the diameter. Any segment from the center to the circumference is a radius, whether the rest of the diameter is shown or not.