Dan and Mario went to a sandwich shop to buy sandwiches for their group of friends. Dan bought 2 tuna and 5 vegetarian sandwiches for $37. Mario bought 4 tuna and 3 vegetarian sandwiches for $39. Which system of equations can be used to solve for the cost of each kind of sandwich? 2 x 5 y = 37. 4 x 3 y = 39. 2 x 5 y = 39. 4 x 3 y = 37. 5 x 2 y = 39. 4 x 3 y = 37. 5 x 2 y = 37. 4 x 3 y = 39.

Answer:

b 25

Step-by-step explanation:

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        \(x^{2}\), x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = \(x^{2}\)

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

Answer:

The answer is the given information is the SAS case, Evelyn is approximately 104 meters from the plane, and the angle of elevation of the plane is 12°.

Step-by-step explanation:

Edge

Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.

To find the form of the case we need to know about the triangle congruence theorem.

Two triangle are congruent when the shape and size of both the triangle are same.

Triangle congruence theorem are-

Given information-

Evelyn is 104 meters from the take off.

The angle of elevation of the plane is 12°.

The plane is 100 meters away from the takeoff point.

The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).

Thus the two triangle formed which are congruent.

As above discussed the case of SAS exists for the triangle congruence theorem.

Hence the given information is the SAS case.

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Explanation:

A circumscribed polygon always surrounds the circle, so the circumscribed hexagon will have an area larger than the circle. This is why we have an overestimate. In contrast, an inscribed hexagon would underestimate the area. The idea is that as the number of sides n increases, the under and over estimates will slowly converge to a single number which is the area of the circle.

It's basically a guessing game where you either go too high or too low, and eventually hit the target after enough tries.

Check out the diagram below to see what a circumscribed hexagon looks like. Note how the hexagon is as small as possible without any line segments going inside the circle; put another way, the circle doesn't spill outside the hexagon.

Answer:

2

Step-by-step explanation:

lim x ---> 2^- f(x) = 2

lim x ---> 2^+ f(x) = 2

The bond's current yield with face value for time period of 11 years is equal to 4.316%.

Time period of mature bond = 11 years.

Face value of bond = $1,000

Yield to maturity of 8.6321%

Pays an 8.6321% annual interest rate on its face value

The current yield of a bond is calculated by dividing the annual coupon payment by the current market price of the bond.

Since the bond pays coupons semiannually, the coupon payment is half of the annual interest payment.

To calculate the annual interest payment, multiply the face value by the annual interest rate.

Annual interest payment

= $1,000 × 8.6321%

= ( $1,000 × 8.6321 ) / 100

= $86.321

Since the bond pays coupons semiannually, the semiannual coupon payment is half of the annual interest payment.

Semiannual coupon payment

= $86.321 ÷ 2

= $43.16

Now, to calculate the bond's current yield, divide the semiannual coupon payment by the market price of the bond.

The bond is selling for $1,000,

Current yield

= Semiannual coupon payment / Market price

= $43.16 / $1,000

≈ 0.04316 or 4.316%

Therefore, the bond's current yield is approximately 4.316%.

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The key to making the output from the input is to understand the input, apply a set of transformations, and validate the output to ensure that it meets the desired requirements.

To make the output from the input, you need to follow a set of rules. These rules will depend on the type of input and the desired output. In general, there are three main steps that you should follow when trying to make the output from the input:
1. Understand the Input: The first step is to carefully examine the input and understand its format, structure, and properties. This will help you identify any patterns or relationships that exist within the input data.
2. Apply a Transformation: Once you have a good understanding of the input data, the next step is to apply a transformation or a set of transformations that will convert the input into the desired output. These transformations may involve mathematical operations, logical rules, or other manipulations of the data.
3. Validate the Output: After applying the transformation, it's important to validate the output to ensure that it meets the desired requirements. This may involve checking the output against a set of expected results, testing the output in different scenarios, or using other validation methods.

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Answer:

i think its just the last one

Step-by-step explanation:

because the first two are all real numbers and the thrid equals one

The probability level used by researchers to indicate the cutoff probability level (highest value) that will allow them to reject the null hypothesis is called the alpha level.

Alpha level refers to a threshold value which is used to determine if a test statistic is statistically significant.  In a statistical test, it demonstrates an acceptable probability of a Type I error. As alpha corresponds to a probability, it lies in the range of 0 to 1. The alpha level denoted as alpha or α refers to the probability of rejecting the null hypothesis when it is true. For example, a alpha level of 0.05 demonstrate a 5% risk of concluding that a difference exists when there is no actual difference.

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Answer:

Step-by-step explanation:

(a)The deterministic factor of safety is 0.95

(b) The probability of failure is P(x < 210) = 0.7032

(a) The deterministic factor of safety is calculated by dividing the yield strength of the material by the maximum stress applied to the material. Therefore, the deterministic factor of safety is given by:

\(D.F.S=\frac{Yield\;Strength}{Maximum\;Stress\;Applied}\)

Given, Yield strength of material = y~N(200,352)
MPa∴ Mean of Yield Strength = 200MPa
Standard Deviation of Yield Strength = 352MPa
Stress MPa 188 195 193 200 210 210 207 199 195 205
From the given table, the maximum stress applied is 210MPa.

Deterministic Factor of Safety:

\($D.F.S=\frac{Yield\;Strength}{Maximum\;Stress\;Applied}D.F.S=\frac{200}{210}=0.95\)

Therefore, the deterministic factor of safety is 0.95.

(b) To find the probability of failure, we need to calculate the z-score and use the normal distribution table. P(x < 210) is the probability of failure.
z-score = frac{210-200}{sqrt{352}} = frac{10}{18.79}= 0.53

Using the standard normal distribution table, we find that P(z < 0.53) = 0.7032

The probability of failure is P(x < 210) = 0.7032

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Complete Question:

Yield strength y of the material used for a mechanical component is normally distributed with y~N(200,352) MPa. The stress of the component is also normally distributed, and the field statistical data of the stress are collected and are shown in the following table.
Stress MPa 188 195 193 200 210 210 207 199 195 205

(a) what is the deterministic factor of safety? (b) what is the probability of failure?

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

Answer:

the sum of the two angles is 69. the angle labeled 2 is 17. all you gotta do is subtract 17 from 69, so 52 is your answer

The length HI in the quadrilateral is 63.7 units.

A quadrilateral is a polygon with 4 sides. The quadrilateral BCDE is similar to quadrilateral FGHI.

Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same and the corresponding sides are a ratio of each other.

Therefore,

18 / HI = 13 / 46

cross multiply

46 × 18 = 13 HI

828 = 13HI

divide both sides by 13

HI = 828 / 13

HI = 63.6923076923

Therefore,

HI = 63.7 units

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In a pin-hole camera model, the three-dimensional (3D) points P, Q, and R in the scene correspond to their respective two-dimensional (2D) image points p, q, and r on the camera's image plane.

Given the coordinates of these points in the 3D scene and their corresponding image points, along with the focal length, pixel size, and image size, we can calculate various parameters. The image coordinate center is at the center pixel with indices (500,500).

For the stereo camera system, the second camera is placed parallel to the first one, with its lens center at C=(10,0,0) in the 3D scene. To find the disparity of point P in the second camera, we need to determine the difference in its image position compared to the first camera. Disparity is the horizontal shift between corresponding points in the two images. By calculating the difference in the x-coordinate of point P's image position in the two cameras, we can find the disparity.

To determine the 3D coordinates (X, Y, Z) of point V in the scene, given its image coordinates in both cameras, we can use triangulation. Triangulation involves finding the intersection point of two rays, each originating from the camera center and passing through the respective image point. By considering the known parameters of the cameras, we can compute the 3D coordinates of point V using its image coordinates in both cameras.

For the stereo camera system, the disparity of point P can be found by calculating the difference in its image position between the two cameras. To determine the 3D coordinates of point V, we can use triangulation by considering the image coordinates in both cameras along with the known camera parameters.

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The calculation of image disparity in the second camera and coordinates of a point in 3D scene involves concepts of geometry and trigonometry. The coordinates can be computed using formulas derived from rules of similar triangles.

The given question involves the operations of a pin-hole camera and a stereo camera system. The process of imaging and finding disparities in the cameras with different lens centers is a part of computer vision in Robotics. For the first part of the question where we need to find the disparity of a certain point P, Q, and R in the second camera, the disparity can be computed using geometry and trigonometry. It entails looking at how the image's position changes when moving from one camera to another.

For the second part, where we need to find the coordinates of a point V in 3D scene. The coordinates of point V can be obtained from the disparity between two locations of point V from the first and the second camera. Using similar triangles, we can compute the coordinates as:

X = Z * (x1 - x2) / (f * pixel size)

Y = Z * (y1 - y2) / (f * pixel size)

Z = f * Base line / ((x1 - x2) * pixel size)

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Answer:

Step-by-step explanation:

10-16=to 4

Answer:

option c

Step-by-step explanation:

n²-1/2

pls mrk me brainliest (⁠≧⁠(⁠ｴ⁠)⁠≦⁠ ⁠)

Answer:

$12

Step-by-step explanation:

30x.4=12 dollars for fuel

Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

Step-by-step explanation:

Plug in y=3/4x-4 into desmos :)

The total value of the problem is 20 points. The given data represents various economic variables or parameters.

Each variable is associated with a specific value: SI (Savings and Investment) = -80, LM (Liquidity preference and Money Supply) = -40, R (Interest Rate) = 30, Y (Income) = 6, C (Consumption) = 100, I (Investment) = 200, and X (Exports) = 150.

The given data consists of several variables: SI = -80, LM = -40, R = 30, Y = 6, C = 100, I = 200, and X = 150. Each question in the problem is worth 3 points, while the estimation procedure carries 6 points.

The problem is likely a part of an economics or macroeconomics exercise or question set where students are required to analyze and interpret the given data. The specific questions or estimation procedure that correspond to the provided values are not mentioned, so it is difficult to provide further explanation or analysis without additional information.

In order to fully understand and address the problem, it is necessary to know the context and the specific questions being asked. Each question and estimation procedure likely involves the interplay between these economic variables and requires further analysis or calculations.

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The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

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Answer:

The required values are b=-6 and d=4

Step-by-step explanation:

The graph corresponds to the function

\(r(x) =x^2+bx^2+8x+d\)

We are required to find the values of b and d.

They can be found by using two points that are clearly visible on the graph. For example, the points (0,4) and (2,0) belong to the function. Substituting their values in the function:

\(4 =0^2+b*0^2+8*0+d\)

Simplifying:

4 = d

d = 4

Now use the point (2,0):

\(0 =2^2+b*2^2+8*2+d\)

Since d=4, and calculating

\(0 =4+4b+16+4\)

Simplifying:

\(4b = -24\)

Dividing by 4:

\(b = -24/4 = -6\)

\(b = -6\)

The required values are b=-6 and d=4

Answer:

132 degrees

Step-by-step explanation:

Find the figure attached

Note that the sum of the interior angle of an hexagon is 720 degrees. Hence;

75 + 160+x+108+113+132 = 720

x+588 = 720

Subtract 588 from both sides

x+588 - 588 = 720 - 588

x = 132

Hence the value of x is 132 degrees

The one-sample z-statistic for evaluating the hypothesis that unvaccinated people get COVID-19 is not 0.03 is -85.7. This statistic tested the hypothesis that unvaccinated people do not get COVID-19 at 0.03%.

In order to compute the one-sample z-statistic, we must first do a comparison between the observed proportion of COVID-19 instances in the placebo group and the expected proportion of 0.03. (p - p0) / [(p0(1-p0)) / n is the formula for the one-sample z-statistic. In this formula, p represents the actual proportion, p0 represents the predicted proportion, and n represents the sample size.

The observed proportion of COVID-19 instances among those who received the placebo is 162/18325 less than 0.0088. According to the received wisdom, the proportion that should be anticipated is 0.03. The total number of people sampled is 18325. After entering these numbers into the formula, we receive the following results:

z = (0.0088 - 0.03) / √[(0.03(1-0.03)) / 18325] ≈ (-0.0212) / √[(0.0291) / 18325] ≈ -85.7

As a result, the value of the z-statistic for just one sample is about -85.7. This demonstrates that the observed proportion of COVID-19 cases in the unvaccinated population is significantly different from the expected proportion of COVID-19 cases in that population.

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The value of (f ∘ g)(1) is -16.

The composition of two functions, also known as a composite function, can be obtained by replacing x in one function with the entire second function.

The notation used to represent this is (f o g)(x), and it means "f of g of x" or "f composed with g of x."

Given,

f(x)=-3 x-1 and

g(x)=x²+4,

we are to find (f ∘ g)(1). Now, (f ∘ g)(1) means we have to evaluate f(g(1)). Now, g(1) = 1² + 4 = 5

Using this value in f(x), we get;

f(g(1)) = f(5) = -3(5) - 1 = -15 - 1 = -16

Therefore, (f ∘ g)(1) = -16

Another way to solve is;

(f ∘ g)(x) = f(g(x))f(g(x))

             = -3(x²+4)-1

             = -3x² - 12 - 1

             = -3x² - 13

Hence, (f ∘ g)(1) = f(g(1))

                         = -3(1²+4)-1

                         = -3(5)-1

                         = -16

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a. If Jennifer has begun construction on the home and plans to live in it in 12 months from the time construction began, the interest she pays on the loan can be treated as deductible mortgage interest.

This is because the IRS allows interest on loans for the construction or purchase of a second home to be deductible if the home will be used as a qualified residence within 24 months.

b. If Jennifer hasn't begun construction on the home but plans to live in it in 15 months, the interest she pays on the loan can still be treated as deductible mortgage interest. As long as she starts construction and completes it within 24 months, making the home a qualified residence, the interest remains deductible.

c. If Jennifer has begun construction on the home but doesn't plan to live in it for 37 months from the time construction began, the interest on the loan is not deductible as mortgage interest. This is because the home won't be used as a qualified residence within the 24-month time frame allowed by the IRS.

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