$17 for an 8oz steak (find the unit rate)

Answer:

0.5625

Step-by-step explanation:

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ1

The equations that have the same solutions are

15x - 60 = 120

3x = 36

x - 4 = 8

Options A, B, and D

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3x - 12 = 24

Add 12 on both sides.

3x = 24 + 12

3x = 36

Divide both sides by 3.

x = 12

The solution for 3x - 12 = 24 is 12.

Now,

15x - 60 = 120

15x = 120 + 60

15x = 180

x = 180/15

x = 12 _____(1)

3x = 12

x = 12/3

x = 4 ______(2)

3x = 36

x = 36/3

x = 12 ______(3)

x - 4 = 8

x = 8 + 4

x = 12 ______(4)

12x - 12 = 24

12x = 24 + 12

12x = 36

x = 36/2

x = 19 ______(5)

From (1), (2), (3), (4), and (5) we see that,

15x - 60 =120, 3x = 36, and x - 4 = 8 has the same solution as 3x - 12 = 24.

Thus,

The equations that have the same solutions are

15x - 60 = 120

3x = 36

x - 4 = 8

Options A, B, and D

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ1

Answer: No

Step-by-step explanation:

The product of x and y is not constant. (note how the product is 45, then 320, then 500, then 2420)

The price of a 12-month short call option is £1.30.

The calculation of the price of a 12-month short call option using a two-step binomial tree procedure. The given information includes the spot price (So) of £15, the strike price (K) of £16, the annual risk-free rate (r) of 5%, and the volatility (o) of 30%.

To calculate the price of the option, we use a binomial tree approach, which involves constructing a tree with two possible price movements at each step, an upward movement and a downward movement. By calculating the expected value at each node of the tree and discounting it back to the current time, we can determine the option price.

In this case, we start by calculating the up and down factors. The up factor (u) is calculated as e^(o*√(T)), where T represents the time in years. The down factor (d) is calculated as 1/u. In this scenario, T is 1 year, so we have u = e^(0.30*√1) and d = 1/u.

Next, we calculate the risk-neutral probability of an upward movement (p) using the formula p = (e^(r*T) - d) / (u - d). Once we have the up and down factors and the risk-neutral probability, we can proceed with building the binomial tree.

Starting from the final nodes of the tree, we calculate the option payoffs at expiration. For a call option, the payoff is the maximum of (S - K, 0), where S represents the spot price. We then move backward through the tree, calculating the expected value at each node by discounting the future payoffs using the risk-free rate.

Finally, we reach the root of the tree, which represents the current option price. In this case, the price of the 12-month short call option is determined to be £1.30.

Learn more about short call option

brainly.com/question/14486632

#SPJ11

Answer:

The answer is B

Step-by-step explanation:

Srry it was so late

Based on the given information, the terminal side of angle 0 lies in quadrant III.

To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:

(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:

Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.

Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.

In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.

(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.

Learn more about quadrant at: brainly.com/question/26426112

#SPJ11

Answer:

$125

Step-by-step explanation:

11,000 - 9,500 = 1,500

1,500 / 12 = 125 (we use 12 because 12 months = 1 year)

Answer:

125

Step-by-step explanation:

took the test

Answer:

answers are below

Step-by-step explanation:

5*1.6=8

10*1.6=16

w*1.6=1.6w

15*1.6=24

hope this helps:)

Answer:

B

Step-by-step explanation:

killa queen disan no bakuda bites za dusto

Answer:

The answer is 6.64 I believe.

Answer:

The answer would be 6.64

Step-by-step explanation:

The boat travels at  18 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed.

The rate at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed.

Given:  A boat travels 30 miles up the river in the same amount of time it takes to travel 42 miles down the same river. The current is 3 miles per hour.

From the above information we can write,

Let, u is the boat speed in still water, then

\(\frac{30}{u-3} = \frac{42}{u+3}\)

Taking cross multiplication,

30(u + 3) = 42(u - 3)

Solving,

30u + 90 = 42u - 126

42u - 30u -126 -90 = 0

12u = 216

u = 18

Therefore, the speed of boat in still water is, 18 miles per hour.

To know more about the speed, click on the link

https://brainly.com/question/13943409

#SPJ4

Answer:

Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.

edmentum

Answer:

Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.

Step-by-step explanation:

Answer:

14. B

pls give brainliest <3

The slope of the line is 1. To find the equation of the line, we first need to calculate the slope of the line. We use the slope formula, which states that m = (y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are two points through which the line passes.

The equation of the line that passes through the points (-2, -4) and (-3, -5) can be found using the slope-intercept form of a line, x is the independent variable, m is the slope, and b is the y-intercept. To find the slope, we use the formula: m = (y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) = (-2, -4)

and (x₂, y₂) = (-3, -5).

Hence, m = (-5 - (-4))/(-3 - (-2))

= (-1)/(-1)

= 1.

Thus, the equation of the line is y = x - 2 in slope-intercept form. We are given that the line passes through the points (-2, -4) and (-3, -5).The slope of the line is given by m = (y₂ - y₁)/(x₂ - x₁) where (x₁, y₁) and (x₂, y₂) are the two points through which the line passes.

Substituting the values, we get

m = (-5 - (-4))/(-3 - (-2))

= (-1)/(-1)

= 1

Thus, the slope of the line is 1. To find the y-intercept, we use the formula: y = mx + b where m is the slope and b is the y-intercept.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

$95,160

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given values:

Substitute the given values into the formula to calculate how much interest the account accrued in 4 years:

\(\implies \sf I=61000 \cdot 0.14 \cdot 4\)

\(\implies \sf I=8540 \cdot 4\)

\(\implies \sf I=34160\)

Therefore, the account accrued $34,160 of interest in 4 years.

To find how much Isabella will have in total after 4 years, add the principal to the interest:

\(\implies \sf A=61000+34160\)

\(\implies \sf A=95160\)

Therefore, Isabella will have a total of $95,160 in 4 years.

Answer:

Explanation:

An inequality is used to represent unequal expressions or numbers. An inequality with the solution set \(n \ge -2\) is: \(2n - 6 \ge -10\)

Given that:

\(n \ge -2\) --- the solution

To generate an inequality with the above solution, we do the following:

Subtract 3 from both sides of the inequality

\(n - 3 \ge -2 - 3\)

\(n - 3 \ge -5\)

Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.

We can also multiply both sides by 2

\(2 \times (n - 3 )\ge -5 \times 2\)

\(2n - 6 \ge -10\)

Hence, an inequality with the solution set \(n \ge -2\) is:

\(2n - 6 \ge -10\)

See attachment for graph

Read more about inequality at:

https://brainly.com/question/24457639

For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

Learn more about fruit at : https://brainly.com/question/13048056

#SPJ4

The least possible positive integer value of n is 18.

Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers.

let x denote the number of adults. since the no. of adults is equal to the no. of children we can say that,

a single bench can hold either 7 adults or 11 children, so

\(N = \frac{x}{7} + \frac{x}{11}\)

\(N = \frac{18x}{77}\)

according to the question both N and x have to be positive integers, therefore x has to be equal to 77. and therefore N = 18.

know more about integers here: https://brainly.com/question/15276410

#SPJ4

Answer:

b = 7

Step-by-step explanation:

We know that the three interior angles of a triangle add up to 180 degrees.

The missing angle is 45 degrees (since 180 = 45 + 45 + 90).  Since we have two angles equal opposite the sides of length 7 and b, we know that b = 7.

Answer:

12 percent is the vat percentage.

4080 is the amount of VAT

Step-by-step explanation:

It's a pretty simple question don't stress it.

To find the amount of the vat, it's simply subtracting the price including VAT by the initial price, 34000.

38080 - 34000 = 4080

To find the percentage of vat, simply do

\(\frac{Price Including Vat}{Original Price} \)   This equation will give you the percentage of VAT.

38080/34000 = 1.12

Answer:

1 m^3

Step-by-step explanation:

Assume hight 4 and ength 4.

2, 1, 1 = 1

The five rational numbers which are smaller than 2.
1. -1.5, -1, -0.5, 0.25, 1.75

five numbers greater than -2.
2. -1.5, -0.75, 0, 0.5, 1


1. Rational numbers are those numbers which can be expressed in the form of p/q where p and q are integers and q is not equal to 0.
To find rational numbers smaller than 2, we can take any integer less than 2 and divide it by another integer. This will give us a rational number which is smaller than 2.
So, the five rational numbers smaller than 2 are:
-1.5 (which can be written as -3/2)
-1 (which can be written as -1/1)
-0.5 (which can be written as -1/2)
0.25 (which can be written as 1/4)
1.75 (which can be written as 7/4)

2. To find numbers greater than -2, we can take any integer greater than -2. We can also take any decimal number greater than -2.
So, the five numbers greater than -2 are:
-1.5 (which is a decimal number greater than -2)
-0.75 (which is a decimal number greater than -2)
0 (which is an integer greater than -2)
0.5 (which is a decimal number greater than -2)
1 (which is an integer greater than -2)



1. To find rational numbers smaller than 2, we need to find numbers which can be expressed in the form of p/q where p and q are integers and q is not equal to 0.
Let's start by taking integers less than 2.
We can take -1, -2, -3, -4, and -5.
Now, we need to divide these integers by other integers to get rational numbers.
For example, if we divide -1 by 2, we get -0.5.
So, the first rational number smaller than 2 is -0.5.
Similarly, if we divide -2 by 3, we get -0.6666.
So, the second rational number smaller than 2 is -0.6666.
We can continue this process to get the remaining rational numbers smaller than 2.
Therefore, the five rational numbers smaller than 2 are:
-1.5 (which can be written as -3/2)
-1 (which can be written as -1/1)
-0.5 (which can be written as -1/2)
0.25 (which can be written as 1/4)
1.75 (which can be written as 7/4)

2. To find numbers greater than -2, we can take any integer greater than -2. We can also take any decimal number greater than -2.
Let's start by taking integers greater than -2.
We can take 0, 1, 2, 3, and 4.
Now, let's take decimal numbers greater than -2.
We can take -1.5, -0.75, -0.25, 0.5, and 1.5.
Therefore, the five numbers greater than -2 are:
-1.5 (which is a decimal number greater than -2)
-0.75 (which is a decimal number greater than -2)
0 (which is an integer greater than -2)
0.5 (which is a decimal number greater than -2)
1 (which is an integer greater than -2)

To know more about rational visit:

brainly.com/question/1310146

#SPJ11

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

Know more about linear function  here,

https://brainly.com/question/29205018

#SPJ11

(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.

(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.

(4) If volatility were to decrease, the value of the call would decrease.

(5) If the exercise price would increase, the value of the call would decrease.

(6) If the time to maturity were 3-months, the value of the call would decrease.

(7) If the stock price were $62, the value of the call would be zero.

(8) The maximum value that a call option can take is unlimited.

In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:

C = S*N(d1) - X*e^(-rT)*N(d2)

where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.

Using the given values, we can calculate d1 and d2:

d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))

   = [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))

   = 0.9827

d2 = d1 - σ2T^(1/2) = 0.7327

Using these values, we can calculate the value of the call option:

C = S*N(d1) - X*e^(-rT)*N(d2)

= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)

= $7.70

The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.

If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.

If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.

The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.

To learn more about break-even: https://brainly.com/question/21137380

#SPJ11

The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

learn more about coefficients here

https://brainly.com/question/1594145

#SPJ11

The resulting control chart will help identify any points that fall outside the control limits, indicating potential anomalies or special causes of variation in the idle time ratio.

To construct the control chart for the idle time ratio based on three standard deviations, we need to follow several steps:

Step 1: Calculate the average idle time ratio.

To calculate the idle time ratio, we divide the idle time (in minutes) by the total effective working time (in minutes). In this case, the total effective working time per day is 8 hours or 480 minutes. Calculate the idle time ratio for each day using the formula:

Idle Time Ratio = Idle Time / Total Effective Working Time

Day 1: 40 / 480 = 0.083

Day 2: 35 / 480 = 0.073

...

Day 25: 28 / 480 = 0.058

Step 2: Calculate the average idle time ratio.

Sum up all the idle time ratios and divide by the number of days to find the average idle time ratio:

Average Idle Time Ratio = (Sum of Idle Time Ratios) / (Number of Days)

Step 3: Calculate the standard deviation.

Calculate the standard deviation of the idle time ratio using the formula:

Standard Deviation = sqrt((Sum of (Idle Time Ratio - Average Idle Time Ratio)^2) / (Number of Days))

Step 4: Calculate the control limits.

The upper control limit (UCL) is the average idle time ratio plus three times the standard deviation, and the lower control limit (LCL) is the average idle time ratio minus three times the standard deviation.

UCL = Average Idle Time Ratio + 3 * Standard Deviation

LCL = Average Idle Time Ratio - 3 * Standard Deviation

Step 5: Plot the control chart.

Plot the idle time ratio data on a graph, along with the UCL and LCL calculated in Step 4. Each data point represents the idle time ratio for a specific day.

The resulting control chart will help identify any points that fall outside the control limits, indicating potential anomalies or special causes of variation in the idle time ratio.

Note: Since the calculations involve a large number of values and the table provided is not suitable for easy calculation, I recommend using a spreadsheet or statistical software to perform the calculations and create the control chart.

Learn more about anomalies here

https://brainly.com/question/13448501

#SPJ11

Answer:

The missing measure is 70.

Step-by-step explanation:

Because the two inside angles that arent next to each other on the suppelment add up to the outside angle, 120-50 is the missing angle. Sorry if this explaination is confusing.  

Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing \(p = \frac{484}{550}\). Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus \(\frac{484}{550}484=425.92\)