I need to find the missing angle and arc measures.


please answer


Step by step

Permutation: A permutation is an act of arranging objects or numbers in order.

P(n, r) = (n−r)!/n!

​Combination: Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
C(n,r)=( n/ r )= n! / r!(n−r)!

with n!=n⋅(n−1)⋅...⋅2⋅1.

We want to select 4 of the 11 pizzas to be in the top 4.

n = 11

r = 4

The order of the pizzas matters, because a different order results in different rankings within the top 5, and thus we should use the definition of permutation.

P(11 , 4) = 11! / (11-4)!

P(11 , 4) = 11! / 7! = 7920

Thus there are 7920 different possible rankings.

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Answer:

Hi

Step-by-step explanation:

Yup

The above method is difference of two square

But you can use collecting like terms method

The output when three workers are hired is 5 units..

To find the output when three workers are hired, we need to first determine the total cost and then use the marginal cost to calculate the output.

Find the total cost when three workers are hired.
Average total cost (ATC) = Total cost (TC) / Output (Q)
$50 = TC / Q
Since fixed cost (FC) is $130 and the marginal cost (MC) is $40 per worker, the total cost can be found by adding the fixed cost and the cost of the three workers.
TC = FC + 3(MC)
TC = $130 + 3($40)

Calculate the total cost.
TC = $130 + $120
TC = $250

Use the total cost and average total cost to find the output.
$50 = $250 / Q
Q = $250 / $50
Q = 5

Therefore, the output when three workers are hired is 5 units.

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Answer:

\( \huge \color{purple}{answer}\)

To draw a circle whose radius is given, we require a ruler and compasses. Given that the radius is 5 cm, the steps to be followed are:

Step 1: Place the pointer of the compass at the initial point of the ruler (0 cm) and extend the other end of the pencil measuring 5 cm from the initial point (i.e. 5 cm)

Step 2: Mark a point O on a piece of paper. This point is supposed to be the center of the circle that you are about to construct.

Step 3: Place the pointer of the compass at point 0.

Step 4: Turn the compass slowly through 360 degrees to draw a circle.

Make sure that you hold the point of the compass stiffly on the paper. You are also required to move the compass through the 360 degrees in one go for accuracy and neatness.

A circle is a locus of all points in 2 dimensional space which are equidistant from some fixed point. The constructed circle with radius 5 units is constructed below.

We need two tools. first is ruler, and second is compass.

This is the needed circle.

One such circle (radius of 5 units) is constructed is attached below.

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Answer:

guess

Step-by-step explanation:

i cant help but ik its algerbra or something (:

Answer:

-128.31

First choice

Step-by-step explanation:

Using a calculator:

7.05(−18.2) = 7.05 x -18.2 = -128.31

The solution is : 72 miles is the scale of inches to miles.

Here, we have,

given that,

If 5 inches on a map covers 360 miles,

now, we have to find the scale of inches to miles.

we know that,

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor.

Maps use scale factors to represent the distance between two places accurately.

let, the scale of inches to miles = x

so, we have,

5 inchs = 360 miles

1 inch = x miles

i.e. x = 360/ 5 = 72 miles

Hence, The solution is : 72 miles is the scale of inches to miles.

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Answer:

A function s is the HORIZONTAL SHRINK of a function h by a factor k

if s(x) = h(kx)

It is called a shrink, because for k > 1 that has the effect of compressing

the function h towards the y-axis.

I find the problem statement a little confusing because

using k = 1/6 would result in stretching, not shrinking.

Therefore my guess is that the author means k = 6.

A function r is a REFLECTION of a function h in the x-axis

if r(x) = -h(x).

The reason is that r looks like a mirror image of h,

where the mirror is the x-axis  

A function t is a TRANSLATION 2 units down of a function h

if t(x) = h(x) - 2.

The graph of t looks like h, except shifted down 2 units.

Applying the definitions to your function f:

g(x) = -f(6x) - 2 = -36x^2 - 2

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%.

To determine Marty's marginal tax rate, we need to refer to the tax brackets for the given year. However, as my knowledge is based on information up until September 2021, I can provide you with the tax brackets for that year. Please note that tax laws may change, so it is always best to consult the current tax regulations or a tax professional for accurate information.

For the 2021 tax year, the marginal tax rates for individuals are as follows:

10% on taxable income up to $9,950

12% on taxable income between $9,951 and $40,525

22% on taxable income between $40,526 and $86,375

24% on taxable income between $86,376 and $164,925

32% on taxable income between $164,926 and $209,425

35% on taxable income between $209,426 and $523,600

37% on taxable income over $523,600

Since Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%. However, please note that tax rates can vary based on changes in tax laws and regulations, so it's essential to consult the current tax laws or a tax professional for the most accurate information.

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Answer:

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The higher the y value is compared to the x value, the steeper the slope.

so, If we had two lines one with a slope of 5/1 and another with a slope of 4/1

Then the line with a slope of 5/1 would be greater.

I hope this wasn't confusing and hope this helps:)

Answer:

D

Step-by-step explanation:

x^2-12x+36

type into desmos and see where it touches the the line

The given number is 231.

Remember that a composite number means it can be expressed as factors.

In this case, if we multiply 3 x 7 x 11 we get 231.

Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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Answer:

3/4

Step-by-step explanation:

The equation in vertex form for the parabola with focus (0,4) and directrix y=8 is x² = 8(y - 6).

The vertex form of a parabola is given by (x - h)² = 4p(y - k)

where (h, k) is the vertex and p is the distance between the vertex and the focus or the vertex and the directrix.

To write the equation in vertex form for the parabola with focus (0,4) and directrix y=8,

we follow these steps:1. Identify the vertex (h, k)

The vertex is halfway between the focus and the directrix,

so the x-coordinate of the vertex is 0 and the y-coordinate is halfway between 4 and 8, which is (4 + 8)/2 = 6.

Therefore, the vertex is (0, 6).2.

Identify the value of p

The distance between the vertex and the focus (0, 4) is 2 units, so p = 2.3.

Write the equation using the vertex form

Substituting the values of h, k, and p, we get:

(x - 0)² = 4(2)(y - 6)

Simplifying the right-hand side, we get:

(x - 0)² = 8(y - 6)

Simplifying the left-hand side, we get:

x² = 8(y - 6)

Therefore, the equation in vertex form for the parabola with focus (0,4) and directrix y=8 is x² = 8(y - 6).

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The one which uses Sir Ronald Fisher's F-distribution for the test statistic is to compare several population means simultaneously.

The F-distribution was developed by Sir Ronald Fisher to study the behavior of two variances from random samples taken from two independent normal populations. The F-distribution allows us to use a F statistic to compare two populations.

The F-distribution is also known as a right-skewed distribution used commonly in another statistical test called an Analysis of Variance (ANOVA). For ANOVA tests we can use the F-distribution to check whether the variance among the means of two populations significantly differ. The F-distribution can also be used in regression analysis to compare the fit of different models.

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The length of the leg in the triangle is 11.6 units

From the question, we have the following parameters that can be used in our computation:

The length of the other leg using Pythagorean Theorem is

Other Leg = √(Hypotenuse² - One Leg²)

So, we have

Orher Leg = √(16² - 11²)

Evaluate

Other leg = 11.6

Hence, the other leg is 11.6 units

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A.  Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

B. LP Model: Decision Variables, Objective Function, Constraints.

C. set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

D. it would not be feasible to deploy buses to Malacca.

E. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

(a) Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

Constant demand: The LP model assumes that the demand for Merlion's point-to-point coach services remains constant throughout the planning period. This means that the number of passengers traveling between Singapore and Malaysia is assumed to be consistent.

Fixed costs and prices: The LP model assumes that the costs associated with operating the buses, such as fuel, maintenance, and driver salaries, remain fixed. It also assumes that the ticket prices charged to passengers are constant and do not change based on factors like demand or competition.

Full utilization of capacity: The LP model assumes that all available seats on each bus will be filled by passengers. It does not account for scenarios where there might be empty seats due to insufficient demand or other factors.

(b) LP Model: Decision Variables, Objective Function, Constraints.

Decision Variables:

Let X i represent the number of buses deployed to city i, where i can take values 1 to n (n being the total number of cities in Malaysia).

Objective Function:

Maximize daily profit:

Maximize Profit = ∑(Revenue - Cost)

Constraints:

Capacity constraint for each city:

∑(X i * Seats per Bus) ≤ Total Available Seats

Demand constraint for each city:

X i ≥ Minimum Demand i

Non-negativity constraint:

X i ≥ 0 for all i

(c) Solution using Excel Solver:

Please provide the following information:

Total available seats

Seats per bus

Minimum demand for each city

Revenue and cost data

With the given input, I can help you set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

(d) To determine the profit per passenger required for buses to be deployed to Malacca, we need to consider the revenue and cost associated with each passenger. Let's assume the revenue per passenger is R and the cost per passenger is C.

The profit per passenger can be calculated as follows:

Profit per Passenger = Revenue per Passenger - Cost per Passenger

To deploy buses to Malacca, the profit per passenger should be at least equal to zero or positive. If the profit per passenger is negative, it means that the cost per passenger is higher than the revenue per passenger, resulting in a loss for each passenger. In such a case, it would not be feasible to deploy buses to Malacca.

(e) If two buses were to break down on a given day, it would impact Merlion's profit because there would be a reduction in the number of available buses to transport passengers. This could result in a lower revenue as fewer passengers can be accommodated.

To analyze the impact on profit, you would need to consider the revenue and cost implications of operating with reduced capacity. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

By estimating the revenue and cost changes based on the reduced capacity, you can compare the new profit with the original profit to determine the impact.

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The statements that describes what the graph indicates about the spending is that

The government needs to raise taxes or cut spending.

The government spends too much money.

The government almost always spends more than it collects.

Here, we have,

What the question is telling us is that the government is on a deficit. This means that their expenditure has come to be more than what they have being getting.

The government is spending much more than the amount of money that it has according to the graph.

Hence, The statements that describes what the graph indicates about the spending is that

The government needs to raise taxes or cut spending.

The government spends too much money.

The government almost always spends more than it collects.

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complete question:

Which statements describe what this graph indicates about government spending? Check all that apply.

The government needs to raise taxes or cut spending.

The government spends too much money.

The government should produce more money to cover spending.

The government almost always spends more than it collects.

The government needs to lower taxes to cover spending.

Answer:

Step-by-step explanation:

Answer:

the domain of f(x) is set of all real numbers except 3/2

Step-by-step explanation:

Since the denominator cannot equal 0,  2x - 3 ≠ 0

                                                                        2x ≠ 3

                                                                          x ≠ 3/2

Any real number can replace x in the numerator.  

So, the domain of f(x) is all real numbers except 3/2

The domain of the given function is required.

The domain is (-∞,3/2),(3/2,∞)

The given function is \(f(x)=\dfrac{x-5}{2x-3}\)

The domain of a function are the values of x for which the given function is defined.

The function is undefined when \(x=\dfrac{3}{2}\)

\(f(3/2)=\dfrac{\dfrac{3}{2}-5}{2\times \dfrac{3}{2}-3}=\infty\)

So, \(x\neq \dfrac{3}{2}\)

The domain is \(\left(-\infty,\dfrac{3}{2}\right),\left(\dfrac{3}{2},\infty\right)\)

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On solving the provided question wecan say that - By BODMAS the value x is = x = 9/8 - 3/4 + 9/8 - 6/8 = 3/8

BODMAS is an abbreviation for bracket, of, division, multiplication, addition, and subtraction. The BODMAS is used to describe how a mathematical expression operates in a certain sequence. The PEDMAS acronym for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction is another name for the BODMAS in some places.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. The quotient of the numerator divided by the denominator is how a number is stated in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

x = 9/8 - 3/4 + 9/8 - 6/8

x = 3/8

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Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:

```matlab

a = -2;    % Lower limit

b = 2;     % Upper limit

n = 1000;  % Number of subintervals (increase for higher accuracy)

h = (b - a) / n;   % Step size

x = a:h:b;         % Generate evenly spaced x values

y = 1 ./ (25 + x.^2).^1.5;  % Evaluate the function at x

approximation = h * (sum(y) - (y(1) + y(end)) / 2);  % Trapezoidal Rule approximation

fprintf('Approximation: %.6f\n', approximation);

```

1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).

2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).

3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.

4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.

5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.

The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.

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Answer: The awnser is linear.

I hope this helped.

Step-by-step explanation:

There are two cases of collisions : Key “23” and “27NLY” collide at slot “1”.

Key “27NLY” and “a” collide at slot “(9+L+Y) mod 11”.

Given a sequence of 5 element keys < 23, I 38, 27 >, for searching task: H(k) = 3, 26, 16, 38, 27 mod 11. The steps and calculations are shown in the table below:

Here are the steps to insert the keys into a hash table of 11 slots using the hash function H(k) = 3, 26, 16, 38, 27NLY mod 11:

Key                                  Hash Value                                             Slot

23                                    23 mod 11 = 1                                             1

38                                    38 mod 11 = 5                                     5

27NLY                    (3 + 26 + 16 + 38 + (27 * N)

                               + L + Y) mod 11 = (86 + N

                                     + L + Y) mod 11                       (86 + N + L + Y) mod 11

N = 13

-> (86 +

N + L +

Y) mod

11= (86

+ 13+ L

+ Y) mod

11 = (99+L

+Y) mod

11 = (9+

L+Y) mod

11 -> Slot:

(9+L+Y)

mod 11  

a                                              a mod 11 = a                                        a

The cases of collision are:

Key “23” and “27NLY” collide at slot “1”.

Key “27NLY” and “a” collide at slot “(9+L+Y) mod 11”.

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Answer:

CBD = 82°

Step-by-step explanation:

From the chords relations in a circle, we have that when two chords intersects, we have the following angles:

CBF = DBE =  (1/2) * (arc(CF) + arc(DE))

CBD = FBE = (1/2) * (arc(CD) + arc(EF))

So, using the second equation to find the value of the angle CBD, we have that:

CBD = (1/2) * (100 + 64)

CBD = (1/2) * 164

CBD = 82°

Answer: My guess is 2

Step-by-step explanation: 12x2=24 so the scale factor should be 2 (for extra credit i guess n&m is 16