True or false: f(x) is a function

Answer: B = False

Step-by-step explanation: Doesn't need one mainly because a rational  function has an equation and no expression, most rational functions may have one. For example 2x + 7 x + 5x = ???

The slope tells us about the change of weight of the newborn baby with respect to the change in time in months.

The weight in pounds w of a newborn baby after t months of its birth can be modelled by the equation as,

w = 1.75t+6

The above is the equation of a line. The slope of the equation is 1.75.

Rearranging the equation,

(w-6)/t = 1.75

Here, the slope tells us that how is the weight of the new born is changing

with respect to the change of the time after its birth.

So, let us say that if the the baby's weight at some time is 7 pounds, then using the above relation, we can find out the exact month of that weight,

1/t = 1.75

t = 0.57 months.

So, the slope tell us about the linear relation between the weight in pounds and the time in months.

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Answer:

75.5102040816%

Step-by-step explanation:

37 out of 49 is 75.5102040816

Answer:

B

Step-by-step explanation:

On a coordinate plane, parallel lines have the same slope as geometric figures are true. Thus option B is correct.

Marks, splines, spheres, and curved are used to build enclosed geometric shapes. We can see these shapes all around us. Illustrations of geometric shapes include circles, rectangles, triangles, and others. Any configuration of points, columns, or angles is a geometry figure.

A point is the most fundamental algebraic concept because it has no boundaries. Simply put, a point upon that plane is a location. A dot is used to symbolize it. A plane can be identified by three non-straight-line points.

As two or much more vectors seldom cross each other and are located on the same dimension, these are said to be parallel. The slope of these lines is constant. Coplanar lines that seem to be parallel are the ones that don't cross. Therefore, option B is the correct option.

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Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

The mass of the model boat is 0.001288 grams when rounded to the appropriate number of significant figures.

The mass of the model boat can be determined by scaling down the mass of the actual boat according to the given scale factor. The mass of the model boat can be obtained by multiplying the mass of the actual boat by the cube of the scale factor.

1. Given that the mass of the actual boat is 13,000 kg.

2. The scale of the model boat is 1 to 216, which means that every dimension of the model is 1/216 times smaller than the actual boat.

3. Since mass is directly proportional to volume, and volume is proportional to the cube of the linear scale factor, we can use the cube of the scale factor to determine the mass of the model boat.

4. The cube of the scale factor (1/216) is (1/216)^3 = 1/10,077,696.

5. Multiply the mass of the actual boat by the cube of the scale factor to obtain the mass of the model boat: 13,000 kg * (1/10,077,696) = 0.001288 grams.

Therefore, the mass of the model boat is 0.001288 grams when rounded to the appropriate number of significant figures.

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In programming, an "enclose" statement refers to placing a block of code within a specific construct, such as a loop or function, to control its execution and ensure proper behavior.

When writing code, it's common to encounter exceptions, which are unexpected errors or events that can cause the program to crash or behave in unexpected ways. To handle exceptions, programmers use a construct called a "try-catch" statement, which encloses the code that may throw an exception within a "try" block. If an exception is thrown, the "catch" block will execute, allowing the programmer to handle the exception and take appropriate action.

Using a try-catch statement is essential for writing robust and reliable code, as it ensures that unexpected errors are caught and handled gracefully. By enclosing code that may contain an exception within a try block, programmers can prevent their program from crashing or malfunctioning in the event of an unexpected error. Additionally, by handling exceptions appropriately, programmers can provide a better user experience and prevent their users from encountering cryptic error messages or unexpected behavior. Overall, the try-catch statement is a fundamental tool for any programmer, and mastering its use is crucial for writing high-quality code.

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Answer:

x = 8 or x = -8

Step-by-step explanation:

Answer:

absolute value will always be positive

the answer is x=8

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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During the sale, the stereo system was sold for 30% less than its original price of $710, so the discount amount was:

0.30 x $710 = $213

Therefore, the sale price of the stereo system was:

$710 - $213 = $497

After the sale, the discounted price of $497 was marked up by 30%. The markup amount is:

0.30 x $497 = $149.10

So the final price of the stereo system after the markup is:

$497 + $149.10 = $646.10

Therefore, the price of the stereo system after the markup is $646.10.

Using proof by contraposition and proof by contradiction, it has been shown that if n is an integer and (n² + 3) is odd, then n must be an even integer.

(a) To prove the statement "if n is an integer and (n² + 3) is odd, then n is an even integer" using proof by contraposition, we need to show that the negation of the statement implies the negation of the original statement.

Negation of the original statement:

"If n is an integer and n is not even, then (n² + 3) is not odd."

Let's assume that n is an integer but not even. Then, n must be an odd integer.

If n is an odd integer, it can be expressed as n = 2k + 1, where k is an integer.

Substituting n = 2k + 1 into the expression (n² + 3), we get:

(n² + 3) = (2k + 1)²2 + 3

          = 4k² + 4k + 1 + 3

          = 4k² + 4k + 4

          = 4(k² + k + 1)

Since k is an integer, k² + k + 1 is also an integer. Let's denote it as m.

So, we have (n² + 3) = 4m.

Since 4 is divisible by 2, we can rewrite 4m as 2(2m), where 2m is an integer.

Therefore, (n² + 3) is divisible by 2, and it is not odd.

Hence, we have proved that if n is an integer and (n² + 3) is odd, then n is an even integer.

(b) To prove the statement "if n is an integer and (n² + 3) is odd, then n is an even integer" using proof by contradiction, we assume the opposite of the statement and show that it leads to a contradiction.

Assume that n is an integer and (n² + 3) is odd, but n is an odd integer.

If n is an odd integer, we can write it as n = 2k + 1, where k is an integer.

Substituting n = 2k + 1 into the expression (n² + 3), we get:

(n² + 3) = (2k + 1)² + 3

          = 4k² + 4k + 1 + 3

          = 4k² + 4k + 4

          = 4(k² + k + 1)

Since k is an integer, k² + k + 1 is also an integer. Let's denote it as m.

So, we have (n² + 3) = 4m.

Since 4 is divisible by 2, we can rewrite 4m as 2(2m), where 2m is an integer.

Therefore, (n² + 3) is divisible by 2, and it is not odd.

This leads to a contradiction since we assumed that (n² + 3) is odd.

Hence, our assumption that n is an odd integer must be false.

Therefore, n must be an even integer.

Thus, we have proved that if n is an integer and (n² + 3) is odd, then n is an even integer.

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Answer:

20, 3 and 4 in that order going down.

1/2 is the same as 10/20 as they are both equal to one half.

1/3 is the same as 3/9 as they are both equal to one third.

3/4 is the same as 12/16 as they are both equal to three quarters.

The markup value over the each order of cookies is 300%. Thus option B is correct.

According to the statement

we have given that the James costs $4 to make an order of dozen cookies and selling prices is $16 and we have to calculate the markup on the order of cookies.

So, For this purpose, we know that the

Markup formula calculates the amount or percentage of profits derived by the company over the product's cost price.

The formula to calculate markup is :

Markup = (selling cost - production cost / production cost) *100

So, Substitute the formula in it then

Markup = (selling cost - production cost / production cost) *100

Here selling cost = $16 and production cost is $4

So,

Markup = (selling cost - production cost / production cost) *100

Markup = (16 - 4 / 4) *100

Markup = 3 *100

Markup = 300%.

So, The markup value over the each order of cookies is 300%. Thus option B is correct.

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Answer:

it is 400%

Step-by-step explanation:

$4* 400%= 16

Step-by-step explanation:

u have to give a photo of the question or something I can go off of to answer

Answer:

the second one

Step-by-step explanation:

the independent number is the y intercept (where it touches the y-axis which would make the y-intercept 2) and the slope is 1/2 if you use rise/run. so it seems as if the equation is written in y=mx+b form. so the answer is y=1/2x+2

Part A:

We want to see how often the number 4 comes up when we roll a fair dice 100 times. We will use a dice with numbers 1,2,3,4,5,6. We will keep track of how many times 4 comes up and we think it should be around 16 times because there are 6 numbers on the dice.

Part B:

We rolled the dice 100 times and got 4 32 times.

-We want to know if that is normal or if something is wrong with the dice.

-We use special numbers to check if this is normal, it's called the confidence interval

-The confidence interval tells us if 32 times is normal or not.

Part C:

The confidence interval tells us that 32 times is not normal, it's unlikely that it happened by chance. So, the dice might not be fair.

Using simultaneous equations, Kieran and Louise's numbers are 20 and 8 respectively.

Kieran and Louise each think of a number. 4 less than Kieran's number is equal to 2 lots of Louise's number.

let's

x = Kieran's number

y = Louise's number.

x - 4 = 2y

x - 2y = 4

3 lots of Kieran's number added to Louise's number is 68.

Hence,

3x + y = 68

Hence, let's combine the system of equation.

x - 2y = 4

3x + y = 68

multiply equation(i) by 3

3x - 6y = 12

3x + y = 68

-7y = -56

y = -56 / -7

y = 8

Therefore, let's find x

x = 4 + 2y

x = 4 + 2(8)

x = 4 + 16

x = 20

Hence,

Kieran number = 20

Louise number = 8

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The standard deviation of the critical path is 6.

To calculate the standard deviation of the critical path, we need to use the concept of variance and consider the activities on the critical path.

The variance of a project or critical path is the sum of the variances of the activities on that path.

Since the variances are given as the squares of the standard deviations, we can square the standard deviations of each activity and sum them to find the variance of the critical path. Finally, we take the square root of the variance to obtain the standard deviation.

Given the standard deviations of the activities on the critical path:

Activity 1: Standard deviation = 1 day

Activity 2: Standard deviation = 3 days

Activity 3: Standard deviation = 1 day

Activity 4: Standard deviation = 4 days

Activity 5: Standard deviation = 3 days

Calculating the variance of the critical path:

Variance = (1^2) + (3^2) + (1^2) + (4^2) + (3^2) = 1 + 9 + 1 + 16 + 9 = 36

Taking the square root of the variance, we find the standard deviation of the critical path:

Standard deviation = √(36) = 6

Therefore, the standard deviation of the critical path is 6.

The correct choice is A. 6.

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Answer:

BD= 42 cm

CD= 42 cm

Step-by-step explanation:

because AD bisects CAB, 5x-3=3x+15

x=9

5(9)-3=42 cm

3(9)+15=42 cm

S-20

M-23

Step-by-step explanation:

Let Sohan's age be x:

Mohan = x+3

Sohan = x

= x+(x+3) = 43

= 2x+3 = 43

= 2x= 43-3= 40

= 2x= 40

= x = 40/2

= x = 20

∴ Sohan is 20 years old and Mohan is 23 years old.

The model of local restaurant which sends a 20% off coupon to its email subscribers, based on past data is an example of supervised model.

Supervised model is defined by its use of labeled datasets to train algorithms based on classification of data or predict outcomes accurately. While the accuracy of supervised learning models is more than unsupervised learning models. Supervised, as we are using past data. Classification, as we are trying to classify the customers into categories to study which ones will use the coupons. We have a local restaurant which send

a 20% off on a coupon to its email subscribers. It is based on past data. Using the above definition the predicted model for the provide example is supervised model.

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The answer is the green K in quadrant IV

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates.

Given here: The K in the fourth quadrant is a reflection of K in the first quadrant because it first flips the K and but there is no change in the position of the x-axis quite clearly.

Hence, The answer is the green K in quadrant IV

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D. The set W would be a subspace of set of real numbers R cubed.

For a set to be considered a vector space, it must satisfy the following conditions:

1. It contains the zero vector (the additive identity).

2. It is closed under vector addition.

3. It is closed under scalar multiplication.

Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.

Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.

Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.

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Answer:

$328.13

Step-by-step explanation:

First, find the amount of time she works every day.

Between 8:45 and 5:15, there are 8.5 hours.

Subtract 1 for her lunch break, so there are 7.5 hours worked every day

Then, calculate how much she gets every day:

7.5(8.75)

= $65.625

Multiply this by 5 to find her pay for the week:

65.625(5)

= $328.13 is her total pay for the week

The total pay for the week will be $318.75.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm.

The number of hours from 8:45 am to 5:15 pm will be 8.5 hours.

And the number of working days will be 5.

Then the total pay for the week will be

⇒ $8.75 x 5 x (8.5 - 1)

⇒ $8.75 x 5 x 7.5

⇒ $318.75

The total pay for the week will be $318.75.

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Answer:

24 cm^2

Step-by-step explanation:

There are 6 sides on a cube.

If the length of a side is 2, then the area of a face is 4 because it is a square.

4 x 6 = 24.

The linear equation of the graph is y = x - 5

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (1, -4) and (5, 0)

Calculate the slope (m) using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (0 + 4)/(5 - 1)

Evaluate

m = 1

The equation is then calculated as

y = m(x - x1) + y1

So, we have

y = 1 * (x - 5) + 0

Evaluate

y = x - 5

Hence, the linear equation of the graph is y = x - 5

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Answer:

-6

Step-by-step explanation:

to solve you need to substitute the value of x in the equation which is given as 2so if you rewrite the equation it will be

-2(2)+10

=(-2*2)+10

=-4+10

=6

Justice is using a technique known as chunking.

Short-term memory can function more effectively thanks to chunking, however the quantity of chunks that can be stored efficiently declines as chunk size grows.

Large pieces of information may be divided into smaller bits and then grouped together using relevant information or attributes before being stored in order to improve retention of that information in the short term memory. To establish relational information or similarity between the information to be stored in order to improve retention and recall in the short term memory, information must be broken down before being regrouped. However, as chunk size grows, so does the efficiency of information chunking.

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To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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