Need it quickly please

Answer:

Step-by-step explanation:

1. 150 * π/180

= 150π/180

= 5π/6

=2.62

2. π/2

π/2 * 180/π

= 90 degrees

Step-by-step explanation:

1)150° 's radian measure

\( \rm \implies150 \: Deg × π/180 = 2.618 \: Radians\)

2)π/2 's degree measure

\( \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees\)

Basically,we need to use formulas to solve these type of sums.

Answer:

$14.94

Step-by-step explanation:

To find the money earned per hour, you need to divide the total money earned by the hours worked.

$418.24/28 = $14.94

Step-by-step explanation:

x=120⁰

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Answer:

3 2/3

Step-by-step explanation:

\(x-\frac{1}{2} = 3 \frac{1}{6}\)

\(x-\frac{1}{2} = \frac{19}{6} \\x = \frac{19}{6} + \frac{3}{6} \\x = \frac{22}{6} \\x = 3 \frac{2}{3}\)

The answer to this  system of inequalities 20x + 5y ≥ -10 , 12x - 3y ≥ -6 is: x ≥ -1/2 and y ≥ 0.

We can start by dividing each term by the greatest common factor (GCF) to simplify both inequalities. The GCF in this instance is 5.

The system is now:

4x + y ≥ -2

12x - 3y ≥ -6

We can multiply the first inequality by three and add it to the second inequality to get rid of y:

(3) (4x + y ≥ -2) => 12x + 3y ≥ -6

12x - 3y ≥ -6

The result of adding the two inequality is:

24x ≥ -12

When we multiply both sides by 24, we get:

x ≥ -1/2

In order to solve for y, we can now enter this value of x into either of the initial inequalities.

20x + 5y ≥ -10

If we replace x with -1/2

20(-1/2) + 5y ≥ -10

If we simplify

-10 + 5y ≥ -10

10 is added to both sides

5y ≥ 0

When we multiply both sides by 5

y ≥ 0

So, the inequality system is:

x ≥ -1/2 and y ≥ 0.

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Answer:

Surface Area (S.A.) = 2(8x9 + 8x4 + 9x4)

Surface Area = 2(72 + 32 + 36)

Surface Area = 280

Hope this helps!

Answer:

Step-by-step explanation:

The formula for surface area for this kind of figure is

SA = 2*l*w + 2*l*h + 2*w*h

SA = 2*8*9 + 2*8*4 + 2*9*4

SA = 144 + 64 + 72 in^2

SA = 280 sqr inches

As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

Formula for standard deviation calculation is:

\(\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}\) (Population Standard Deviation)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}\) (Sample Standard Deviation)

\(\bar x= 19.1\)

\(\sum {(X - \bar x) ^ {2}} = 162\)

\(n-1 = 6\)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}\)

\(s= \sqrt 27\)

\(s= 5.196\)

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There are 2 feet in real life be 3 inches long in the scale drawing.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The stage, which is 56 feet long in real life, is 84 inches long in the scale drawing.

Let the x feet in real life be 3 inches long in the drawing.

According to the given question, we can write a ratio as

56 feet : 84 inches = x feet : 3 inches

⇒ 56 / 84 = x / 3

Apply the cross-multiplication operation,

⇒ 56 × 3 = x × 84

⇒ 168 = 84x

⇒ 84x = 168

⇒ x = 168 / 84

⇒ x = 2

Therefore, there are 2 feet in real life be 3 inches long in the scale drawing.

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The margin of error for a 95% confidence interval for the true mean mercury concentration in the Lower Willamette River is 0.02566.

The margin of error represents the range within which the true population mean is likely to fall. In this case, with a 95% confidence level, it means that we are 95% confident that the true mean mercury concentration in the Lower Willamette River falls within a specific range. The margin of error is calculated by multiplying the standard error (a measure of the variability of the sample mean) by a critical value, which is determined based on the desired confidence level and the sample size. In this case, the margin of error is rounded to five decimal digits and given as 0.02566.

It's important to note that the provided margin of error (0.02566) matches none of the options given (0.02566, 0.00199, 0.00261, none of the above). Therefore, the correct answer is "none of the above." It's crucial to carefully read and compare the options provided to ensure the accurate selection of the margin of error.

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Aisha needs to deposit $8,665.48 today to reach her goal of $10,000 in 5 years.

When it comes to depositing an amount in an account to achieve a particular goal in the future, the concept of present value comes into play.

Present value is the value of a future sum of money or cash flow given a specified rate of return in today's terms. In other words, it is the value of the money we deposit today that will be worth in the future.

The formula to calculate present value is given by:

Present Value = Future Value / (1 + r)ⁿ

Where r is the annual interest rate, and n is the number of years.Using this formula, we can calculate the amount Aisha needs to deposit today to achieve her goal of $10,000 in 5 years.

Assuming an annual interest rate of 2%, we have:

Present Value = $10,000 / (1 + 0.02)⁵

Present Value = $8,665.48

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As the level of significance increases, the probability of making a type II error decreases.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

If the level of significance of a hypothesis test is raised from 0.05 to 0.1, the probability of a type II error will decrease.

Type II error occurs when we fail to reject a null hypothesis that is actually false. It is the probability of accepting a false null hypothesis. By increasing the level of significance, we are making it easier to reject the null hypothesis, which in turn decreases the probability of accepting a false null hypothesis.

Hence, as the level of significance increases, the probability of making a type II error decreases.

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To graph a piecewise function, plot the different parts of the function separately based on the specified conditions or intervals, and ensure continuity at the endpoints.

Here's a step-by-step guide on how to graph a piecewise function:

1. Identify the different conditions or intervals: A piecewise function is defined by different equations or expressions for specific intervals or conditions. Identify these conditions or intervals and the corresponding equations for each interval.

2. Plot the intervals on the x-axis: Identify the range of values for the x-axis based on the given intervals. Mark the intervals on the x-axis accordingly.

3. Graph each part of the function: For each interval, graph the corresponding equation or expression. Treat each part as a separate function within its defined interval.

4. Consider the endpoints of each interval: Pay attention to the endpoints of each interval and determine whether they are included or excluded from the graph. Use open or closed circles to represent the endpoints, depending on whether they are included or excluded.

5. Ensure continuity: Check if the function is continuous across the intervals. Make sure there are no gaps or jumps in the graph where the intervals meet.

6. Label the axes and add any necessary annotations: Label the x-axis and y-axis, and add any necessary annotations such as the function name, equation, or any important points or features.

7. Review and refine: Step back and review the graph to ensure accuracy and clarity. Make any necessary adjustments to the graph to improve its presentation.

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The scale factor of model to the tower is 3:1640.

The scale factor states the scale by which a figure is bigger or smaller than the original figure.

In other words, scale factor is a ratio between two corresponding sides of similar figures.

Therefore, the actual tower is 1,083 feet tall and 410 feet wide at the base.

The scale model currently has a base that is 0.75 feet wide.

Therefore, the scale factor of the model can be calculated as follows;

The scale factor can be written as a ratio or fraction.

The scale factor of the base to the model is the same with the height of the tower to the model.

0.75 : 410

multiply both side by 100

75 : 41000

divide both sides by 25

Therefore,

3 : 1640

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Answer:

Bala has 5 stickers

( please mark me as brainliest )

Step-by-step explanation:

total stickers = 26

= 26/2

=13

stickers Alvin had more = 8

=13 + 8

= 21

= 26 - 21

= 5

To solve the integral of 1/sqrt(x^2 - a^2) dx, we can use the substitution method. Let u = x^2 - a^2, then du/dx = 2x, and dx = du/2x.
Substituting into the integral, we get:

∫ 1/sqrt(x^2 - a^2) dx = ∫ 1/sqrt(u) * du/2x
= (1/2) ∫ 1/sqrt(u) du  

= (1/2) * 2sqrt(u) + C
= sqrt(x^2 - a^2) + C

Therefore, the answer to the integral of 1/sqrt(x^2 - a^2) dx is sqrt(x^2 - a^2) + C, where C is the constant of integration.

In summary, the integral of 1/sqrt(x^2 - a^2) dx can be solved using the substitution method, where u = x^2 - a^2. The final answer is sqrt(x^2 - a^2) + C, where C is the constant of integration.

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The integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

What is intergration?

Integration is a fundamental concept in calculus that involves finding the antiderivative or integral of a function. It is the reverse process of differentiation, which is concerned with finding the derivative of a function.

To find the integral of \(1/\sqrt(x^2 - a^2) dx\), we can use a trigonometric substitution. Let's substitute \(x = a sec(\theta)\), where \(sec(\theta)\) is the reciprocal of the cosine function.

By making this substitution, we can express dx in terms of \(d(\theta)\) as follows:

\(dx = a sec(\theta) tan(\theta) d(\theta)\)

Now, let's substitute these values into the integral:

\(\int \frac{1}{\sqrt{x^2 - a^2}} dx\\\\= \int \frac{1}{\sqrt{(a \sec(theta))^2 - a^2}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\sec^2(theta) - 1)}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\tan^2(theta))}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{a \tan(theta)} (a \sec(\theta) \tan(\theta)) d(\theta)\)

Simplifying the expression, we have:

\(= \int \sec(\theta) d(\theta)\)

The integral of \(sec(\theta)\) can be evaluated as the natural logarithm of the absolute value of \(sec(\theta)\) plus the tangent\((\theta)\):

\(= \ln|\sec(\theta) + \tan(\theta)| + C\)

Finally, substituting back \(x = a sec(\theta)\), we get:

\(= \ln|\sec(\theta) + \tan(\theta)| + C\\\\= \ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\)

Therefore, the integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

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Answer:

Diameter of a circle formula D = 2 × r

Circumference of a circle formula C = 2 × π ×

Area of a circle formula          A = π × r2

Step-by-step explanation:

Answer:

Parameters Circle Formulas

Diameter of a circle formula D = 2 × r

Circumference of a circle formula C = 2 × π ×

Area of a circle formula A = π × r2

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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The width of a rectangular computer monitor with a diagonal measurement of 26 inches falls between the integers 36 and 37, so k is 36.

Let the length of the monitor be 3x and the width be 2x, where x is a positive constant.

Using the Pythagorean theorem, we can write:

(3x)^2 + (2x)^2 = 26^2

Simplifying this equation, we get:

13x^2 = 26^2

x^2 = 2 * 13^2

x = 13√2

So the width of the monitor is 2x = 26√2 inches.

To find the integers k and k+1 between which the width of the monitor falls, we can approximate the value of 26√2:

26√2 ≈ 36.8

So the width of the monitor is between the integers 36 and 37. Therefore, k = 36.

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Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

$2094.28 interest will she pay by the time the loan is repaid.

What is compounded monthly?

Theoretically, continuously compounded interest means that an account balance continuously earns interest as well as reinvesting that interest into the balance so that it too earns interest.

As we know the formula of per month installments

\(E.M.I = \frac{P*r*(1+r)^n}{(1+r)^n^-^1}\)

By putting the value of P (loan applied for)=$5500

r (Monthly rate of interest)  \(= \frac{6.8}{12*100}\)

n = number of monthly installments = 10 × 12 = 120

\(E.M.I = \frac{5500*(\frac{6.8}{12*100} )(1+\frac{6.8}{1200} )^1^2^0}{(1+\frac{6.8}{1200} )^1^2^0-1}\\ E.M.I= \frac{5500*0.00567*1.971}{1.971-1}\\ E.M.I = \frac{61.461}{0.971} \\E.M.I = 63.29\)

E.M.I.=$63.29

Total Installments of loan =120

Therefore total amount paid against loan = $63.39 × 120 = 7594.28

So interest paid = 7594.28 - 5500= $2094.28

Hence, $2094.28 interest will she pay by the time the loan is repaid.

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Answer:

r =71.96 or 72

Step-by-step explanation:

C=2\(\pi\)r

452.16=2\(\pi\)r

divide by 2\(\pi\)

71.96 =r

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

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Since n = 1 is a positive integer for which the proposition is true, then p(1) is true.

Direct Proof:

Assume n is a positive integer.

Show that n²  ≥ n.

Substitute n = 1 into the equation n²  ≥ n

Solve the equation 1² ≥ 1

Show that 1² = 1, and 1 ≥ 1.

Therefore, n² ≥ n is true for n = 1.

This is an example of a direct proof, in which we start by assuming the statement is true for a particular value before using logical processes to demonstrate that it must be true for all values.

Before solving the problem, we made the assumption that n was a positive integer, added n = 1, and then proved that the assertion was accurate for n = 1. This establishes the statement's applicability to all positive numbers.

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Answer:

-1,0

0,-2

slope is -2/1

Answer:

View the Screenshot that I have sent.

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)