Hamburger Heaven is having a lunch special where customers buy one -pound cheeseburger and get one free. If they set aside pounds of meat, how many -pound cheeseburgers can they make?

The value of sin (π/4 - cos⁻¹(-4/5)) = -7 / 5√2.

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here, Sin (A - B) = Sin A Cos B - Cos A Sin B

    A = π/4,     B = cos⁻¹(-4/5)

Now,

sin (π/4 - cos⁻¹(-4/5)) = sin π/4 . cos(cos⁻¹(-4/5)) - cos π/4 . sin (cos⁻¹(-4/5))

sin (π/4 - cos⁻¹(-4/5)) = 1/\(\sqrt{2}\) X (-4/5) - 1/\(\sqrt{2}\). sin (sin⁻¹3/5)

sin (π/4 - cos⁻¹(-4/5)) = -4/5√2 - 3/5√2

sin (π/4 - cos⁻¹(-4/5)) = -7 / 5√2.

Thus, the value of sin (π/4 - cos⁻¹(-4/5)) = -7 / 5√2.

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Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

To calculate the prorations for interest and property taxes, we need to determine the number of days each party (the buyer and the seller) will own the property during the month of June.

There are a total of 30 days in June, so the seller will own the property for 15 days (from June 1 to June 15), and the buyer will own the property for 15 days (from June 16 to June 30).

Prorations for Interest:

The annual interest rate is 8%, which means the monthly interest rate is 8%/12 = 0.6667%. To calculate the daily interest rate, we divide the monthly interest rate by 30 (the number of days in June):

0.6667% / 30 = 0.0222%

The total interest owed for the full month is:

$168,745.60 x 0.6667% = $1,124.28

To calculate the prorated interest for the seller, we multiply the daily interest rate by the number of days the seller owned the property:

0.0222% x $168,745.60 x 15 = $559.02

To calculate the prorated interest for the buyer, we multiply the daily interest rate by the number of days the buyer will own the property:

0.0222% x $168,745.60 x 15 = $559.02

Therefore, the total prorations for interest are:

$559.02 for the seller and $559.02 for the buyer.

Prorations for Property Taxes:

To calculate the prorated property taxes, we divide the annual taxes by 365 (the number of days in a year) to get the daily tax rate:

$3,893.25 / 365 = $10.66 per day

To calculate the prorated property taxes for the seller, we multiply the daily tax rate by the number of days the seller owned the property:

$10.66 x 15 = $159.90

To calculate the prorated property taxes for the buyer, we multiply the daily tax rate by the number of days the buyer will own the property:

$10.66 x 15 = $159.90

Therefore, the total prorations for property taxes are:

$159.90 for the seller and $159.90 for the buyer.

The prorations will be subtracted from the seller's equity because they represent expenses incurred by the seller during the time they owned the property.

The sum of the measures of angles D and E is (3x + 25)° greater than the measure of angle F. which is the correct answer would be an option (C).

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

The given Triangle DEF which has

∠D = 3(x+10)°

∠E = (2x+15)°

∠F = 2(x+10)°

The sum of the measures of angles D and E :

3(x+10)° + (2x+15)°

3x + 30 + 2x + 15

5x + 45

Difference between the sum of the measures of angles D and E and the measure of angle F :

5x + 45 - 2(x+10)

5x + 45 - 2x - 20

3x + 25

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

<DBC = 45

Step-by-step explanation:

The two angles add to 180

<ABC + <DBC = 180

135+ <DBC = 180

< DBC = 180-135

<DBC = 45

there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

answer is D. None of the above.

To test if there is significant evidence to claim that the variance of the battery life population is different than 4 hours2, we can use a chi-square test.This is how the test statistic is computed:

X2 = (n-1)*(s2/σ2)

where n is the sample size, s2 is the sample variance and σ2 is the population variance.

In this case, n = 16, s2 = 3.25 and σ2 = 4

X2 = (16-1)*(3.25/4) = 12.1875

The critical value of X2 with 15 degrees of freedom and α = 0.05 is 24.996. Therefore, since 12.1875 < 24.996, we fail to reject the null hypothesis, and there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

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a. One potential source of bias in the study published by the Canadian Medical Association Journal is that it is a the selection bias.

b. . One potential source of bias in the claim is that the diet supplement is a selection bias.

Limiting the study to certain healthcare systems or populations may give an inaccurate portrayal of doctor visits across nations. The study's bias could affect views and limit generalizability.

The bias in the diet supplement claim: If participants were selected for success or high motivation, it could overestimate supplement effectiveness.

Claiming it works for disciplined people ignores other contributing factors. The claim's bias may affect views of the study's validity and applicability. The chosen participants and basic weight loss process may raise doubts about its reliability.

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The length f the diagonal of the square is

The marked points represents the diagonal hence we find the distance between the points

The distance between them is calculated using the following formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Using the points (3, 5) and (12, 14), we can substitute the values into the formula and calculate the length of the line segment:

d = √((12 - 3)² + (14 - 5)²)

= √(9² + 9²)

= √(81 + 81)

= √162

≈ 12.73

Therefore, the length of the line segment between (3, 5) and (12, 14) is approximately 12.73 units.

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Answer:

I don't know if my answer is correct but I would say $12.65

Step-by-step explanation:

The reason I would say this is because 13 percent off 14.55 is 1.8915 and I rounded that to 1.89 and subtracted that from 14.44 to get $12.65

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25

A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

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Answer:

1/2x +2

Step-by-step explanation:

If we start at (0,2), to the next point you rise 1 run 2, so 1/2 slope. You can see the 2 is the y intercept.

Answer: It has to be b if not sorry

Answer:

c. Replace all occurrences of y with x+5 in each equation.

Step-by-step explanation:

Answer:

The range of values from one job is between $50 and $650.

Step-by-step explanation:

An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.

This means that his earnings in a job can be modeled by the following function:

\(y = 30x + 50\)

The electrician works maximum of 20 hours on any job. What is the range of values for one job?

Minimum, he works 0 hours, and earns:

\(y(0) = 30(0) + 50 = 50\)

Maximum, he works 20 hours, and earns:

\(y(20) = 30(20) + 50 = 650\)

The range of values from one job is between $50 and $650.

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

Answer:

(2.4, -1)

Step-by-step explanation:

To find the midpoints of two points in the format (x,y), we find the mean for the values of x and y.

In this question:

(3.2, 2.5) and (1.6, -4.5)

Mean for the values of x:

(3.2 + 1.6)/2 = 2.4

Mean for the values of y:

(2.5 - 4.5)/2 = -1

Midpoint:

(2.4, -1)

Answer:

e = 5h

$100

Step-by-step explanation:

Let e = earnings

e = 5h

For h = 20,

e = 5h = 5(20) = 100

Answer:

$ 100

Step-by-step explanation:

1 hour = $ 5

h (hours worked in a week) = 20 hrs

EXPRESSION: amount of money earned in a week = h × 5

EVALUATION: amount of money earned in a week = 20 × 5

amount of money earned in a week = $ 100 ... answer

hope that helps...

Answer:

\(\huge\boxed{\sf 900}\)

Step-by-step explanation:

Sides of the figure = n = 7

(n - 2)×180

Where n is the number of sides in the polygon

So,

= (n - 2) × 180

= (7 - 2) × 180

= 5 × 180

= 900

\(\rule[225]{225}{2}\)

Answer: 720°

Step-by-step explanation:

- Assuming this is a regular hexagon, all the sides are equal and all the angles are equal

- One of the properties of a regular hexagon is that the sum of all the interior angles is 720°

- Since the sum of all the interior angles is 720°, this means each interior angle is 120°

hope this helps :)

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

9514 1404 393

Answer:

  2)  5.6

Step-by-step explanation:

The tangent relation is ...

  Tan = Opposite/Adjacent

  tan(θ) = 2.4/x = 3/7 . . . . . use the given values

  x = 2.4(7/3) . . . . . . . . . . . multiply by (7/3)x

  x = 5.6 . . . . . . . . . . . simplify

Answer:

c is the right answer

Step-by-step explanation:

okk how are u ?

The statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.

Long-term bonds keep an investor's money locked up for a longer period than a short-term bond, giving the bond's price more time to be impacted by changes in interest rates and inflation.

As we know,

The fact that short-term bonds offer lower interest rates than long-term bonds is a drawback.

Long-term bonds have a larger chance of receiving higher rates since there is a bigger likelihood that interest rates will rise over time.

Bonds with a long term are often those that investors hold for almost ten years.

Thus, the statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.

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The given expression is

(2x - 16)/(2x + 8)

The first step is to find te common factor of the numerator and denominator. The common factor is 2. Therefore, we would factorize the numerator and denominator. It becomes

2(x - 8)/2(x + 4)

The 2 cancels out. The simplified expression becomes

(x - 8)/(x + 4)

Answer:

3\16

Step-by-step explanation:

movement of snail per hour,1/8×3/2=3/16