Shade the model to find the area of a desk pad three eights yards wide and 4/5 yard long

Kevin must work at least 9 hours babysitting to meet his requirements.

Let's call the number of hours Kevin works babysitting "x". We know that he works 3 hours walking dogs, so the total number of hours he works in a week is x + 3.

We also know that he must earn at least $90, so we can set up the following inequality:

8x + 6(3) ≥ 90

Simplifying this inequality, we get:

8x + 18 ≥ 90

Subtracting 18 from both sides, we get:

8x ≥ 72

Dividing both sides by 8, we get:

x ≥ 9

Therefore, Kevin must work at least 9 hours babysitting to meet his requirements.

To check that this is a valid solution, we can calculate his total earnings for the week:

Total earnings = 8x + 6(3) = 8x + 18

If he works 9 hours babysitting and 3 hours walking dogs, his total earnings will be:

Total earnings = 8(9) + 6(3) = 72 + 18 = $90

In summary, the minimum number of whole hours Kevin must work babysitting to meet his requirements is 9. This is found by solving an inequality based on his earnings and the number of hours he can work in a week, and then checking that the solution meets his requirements.

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Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced.

If 1% of the widgets produced by XYZ corporation are defective, then the expected number of defective widgets in a sample of 100,000 widgets can be calculated as follows:

Expected number of defective widgets = 1% x 100,000 = 0.01 x 100,000 = 1000

Therefore, XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced. However, it is important to note that this is just an expected value, and the actual number of defective widgets may vary from this value due to random variation.

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The factorization of 2x² + 7x + 6 is (2x + 3)(x + 2).

Find two numbers that multiply to give you 2*6=12 and add up to 7. These numbers are 3 and 4.

Rewrite 7x as 3x + 4x, using the numbers found in step 1:

2x² + 3x + 4x + 6

Factor the first two terms and the last two terms separately:

x(2x + 3) + 2(2x + 3)

Notice that you now have a common factor of (2x + 3) in both terms. Factor it out:

(2x + 3)(x + 2)

The final factorization is (2x + 3)(x + 2).

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The table is completed as follows:

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

For the function y = 2x², the numeric values are given as follows:

For the function y = 2^x, the numeric values are given as follows:

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The equation of the line of fit is y = 10x + 50. The correct option is C.

The equation of the line of fit can be determined by finding the slope and y-intercept of the line. We can use the two given points on the line, (0,50) and (2,70), to calculate the slope:

slope = (change in y) / (change in x) = (70 - 50) / (2 - 0) = 20 / 2 = 10

Now that we know the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y₁ = m(x - x₁)

Using the point (0,50) and the slope m = 10, we get:

y - 50 = 10(x - 0)

Simplifying, we get:

y = 10x + 50

Therefore, the equation of the line of fit is y = 10x + 50.

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The fraction of regions with speed limits less than 70 mph is 11/25.

To find the fraction of regions with speed limits less than 70 mph, we can subtract the fraction of regions with 70 mph speed limits from the fraction of regions with maximum speed limits up to and including 70 mph.

Fraction of regions with speed limits less than 70 mph = Fraction of regions with maximum speed limits up to and including 70 mph - Fraction of regions with 70 mph speed limits

= 39/50 - 17/50

To subtract fractions, we need a common denominator, which in this case is 50:

= (39 - 17)/50

= 22/50

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

= (22/2) / (50/2)

= 11/25

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The statement is TRUE. When working with a given sample size, the chances of making a Type I error (rejecting a true null hypothesis) can only be reduced by increasing the significance level (alpha), which increases the probability of committing a Type II error (failing to reject a false null hypothesis). These two types of errors are inversely related, meaning that reducing one increases the likelihood of the other.

In hypothesis testing, a Type I error occurs when a null hypothesis is rejected even though it is true. Type II error occurs when a null hypothesis is not rejected even though it is false.

The chances of Type I error and Type II error are inversely related, meaning that when the chances of Type I error decrease, the chances of Type II error increase, and vice versa.

This is because the significance level used in the hypothesis testing determines the trade-off between Type I and Type II errors. As the significance level becomes more stringent, the chances of Type I error decrease, but the chances of Type II error increase.

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The value of radicals are

1. 4√6 / √16= √6

2. 4√15 / √20= 2√3

3. √4/√5 = 2/√5

1. 4√6 / √16

We know that the value of √16 = 4

So, 4√6 / √16

= 4√6 / 4

= √6

2. 4√15 / √20

We can write √20 = 2√5

So, 4√15 / √20

= 4√15 / 2√5

= 2 √5 x √3/ √5

= 2√3

3. √4/√5

= 2/√5

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The correct answer is (e) Model View Controller.

MVC is a design pattern commonly used in software engineering, particularly in web development frameworks such as Java Spring and Struts. In the context of Java, MVC stands for Model View Controller, which is a design pattern that separates an application into three interconnected components:

- The Model represents the data and the business logic of the application.
- The View represents the user interface, and is responsible for rendering the data to the user.
- The Controller acts as an intermediary between the Model and the View, and handles user input and updates to the Model.

The Model and View components are decoupled and can be developed independently, while the Controller component handles the communication between them. This separation of concerns makes it easier to maintain and modify the application, and also allows for code reuse.

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The members of each set are A = {2, 3, 5, 7, 11, 13, 17} and B = {}

A n B = {}

A u B = {2, 3, 5, 7, 11, 13, 17}

The members of each set

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

U = (1,2,3,4,.... 18)

A = {Prime numbers)

B = (Odd numbers greater than 31)

This means that the universal set is from 1 to 18

So, we have

A = {2, 3, 5, 7, 11, 13, 17}

B = {}

The sets of the following

A n B: This is the elements common in both sets

So, we have A n B = {}

A u B: This is the list of all elements without repetition

So, we have A u B = {2, 3, 5, 7, 11, 13, 17}

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complete question:

U

=(1,2,3,4,.... 18); A= {Prime numbers) and B= (Odd numbers greater than 31. a) If A and B are subsets of the universal set, &, list the members of A and B Find the set b) c) i) AnB ii) AUB i) Illustrate U, A and B on a Venn diagram. ii) Shade the region for prime factors of 18 on the Venn diagram.

​

The two consecutive integers from the equation are 5 and 6.

We have,

Two consecutive integers:

x and  (x + 1)

To solve for the integers, you need to use the equation you found and solve for x:

x (x + 1) = 3 (x + x + 1) - 3

Simplifying:

x^2 + x = 6x + 3 - 3

x^2 - 5x = 0

Now you can factor out x:

x(x - 5) = 0

So,

x = 0 or x = 5.

Two consecutive integers,

x can't be 0. So the first integer is 5, and the next consecutive integer is 6.

Therefore,

The two consecutive integers are 5 and 6.

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Two buddies want to know how far a creek is across. The creek is (3x² - 3x - 3) feet wide.

We know the distance of Friend A from one end of bank and distance of Friend B from another end of the bank and the distance between Friend A and B which is the distance of the rope and we have to calculate the width of the creek.

Distance of rope = Distance of friend A from the one end of the bank + width of creek + distance of Friend B from another end of the bank

6x²- x + 12 = (2x²+2x-2) + width of the creek + (x²+17)

6x²- x + 12 = width of the creek + (2x²+ 2x - 2 + x² + 17)

6x²- x + 12 = width of the creek + ( 3x² + 2x + 15)

width of the creek = 6x²- x + 12 - ( 3x² + 2x + 15)

=  6x²- x + 12 - 3x² - 2x - 15

= 3x² - 3x - 3

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The given statement "A group of normal distributions can have equal arithmetic means but different standard deviations" is True  because the mean and standard deviation are two separate parameters that describe different characteristics of a normal distribution.

The mean is the measure of central tendency and represents the location of the peak of the distribution, while the standard deviation is a measure of the spread of the distribution.

Therefore, it is possible for multiple normal distributions to have the same mean, but different standard deviations. For example, consider two normal distributions with means of 50 and standard deviations of 10 and 20, respectively.

Both distributions have the same mean of 50, but different standard deviations, indicating that one distribution has a tighter cluster of data around the mean, while the other is more spread out.

Therefore, it is important to consider both the mean and standard deviation when analyzing and comparing normal distributions.

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The most appropriate type of fiber optic cabling to use to connect two branch offices that are many miles apart would be single-mode fiber optic cabling (SMF).

Single-mode fiber optic cabling is designed for long-distance transmissions over several miles.

It uses a very small core that allows only one mode of light to propagate through it.

This reduces the likelihood of signal distortion or attenuation, allowing data to travel at high speeds over long distances without significant loss of signal quality.

Multi-mode fiber optic cabling (MMF), on the other hand, has a larger core diameter than SMF and is better suited for short distance transmissions over a few hundred meters.

It is not ideal for long-distance transmissions over several miles.

Single-mode fiber optic cabling would be the most appropriate choice for connecting two branch offices that are many miles apart.

Single-mode fibre optic cabling is made for communications across distances of up to several kilometres.

It utilises a tiny core that only permits one mode of light to pass through it.

This lessens the possibility of signal attenuation or distortion, enabling data to travel over great distances at fast rates without suffering a major loss in signal quality.

As opposed to SMF, multi-mode fibre optic cabling (MMF) has a bigger core diameter and is more appropriate for short-distance transmissions over a few hundred metres.

It is not the best option for transmissions over large distances of several miles.

For linking two branch offices that are far away, single-mode fibre optic cabling would be the best option.

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The shape of the polygon with side lengths of 28 cm, 28 cm, 40 cm, 52 cm, and 64 cm is an irregular pentagon.

To determine the shape of a polygon, we need to know the number of sides it has. In this case, the polygon has five sides, making it a pentagon. However, since the sides are not all equal in length, it is an irregular pentagon. It's important to note that irregular polygons do not have equal angles, unlike regular polygons. Therefore, this pentagon does not have equal angles. It is also important to note that the shape of the polygon can change depending on the angle and orientation of the sides.

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What is the shape of the polygon with side lengths of 28 cm, 28 cm, 40 cm, 52 cm, and 64 cm?

There are 68,096 ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined.

The case where the first two children get zero toys. In this case, we need to distribute 8 toys among 4 children (since the first two children are not receiving any toys).

This can be done in [tex]4^8[/tex] ways (since there are 4 choices for each toy and 8 toys in total).

Next, let's consider the case where the first two children get exactly one toy each.

In this case, we need to distribute the remaining 6 toys among 4 children (since the first two children already have a toy each).

This can be done in (4 choose 2) * [tex]2^6[/tex] ways (since we need to choose which two children get a toy, and there are 2 choices for each of the remaining toys).

Finally, let's consider the case where the first two children get exactly two toys each.

In this case, we need to distribute the remaining 4 toys among 4 children (since the first two children already have 4 toys between them).

This can be done in (4 choose 2) * (2 choose 2) * [tex]4^4[/tex]ways (since we need to choose which two children get two toys each, and then distribute the remaining toys among the remaining two children).

Therefore, the total number of ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined is:

[tex]4^8[/tex] + (4 choose 2) * [tex]2^6[/tex] + (4 choose 2) * (2 choose 2) * [tex]4^4[/tex]

= 65,536 + 1,536 + 1,024

= 68,096

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After 8 years, the amount in the account will be approximately $7,228.62.

To calculate the future value of an investment, we can use the formula for compound interest:

Future Value = Principal * (1 + Interest Rate)^Time

In this case, the principal (initial investment) is $4,700, the interest rate is 5.3% (or 0.053 as a decimal), and the time is 8 years. Plugging these values into the formula:

Future Value = 4700 * (1 + 0.053)^8

Calculating the future value:

Future Value = 4700 * (1.053)^8 ≈ $7,228.62

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The standard deviation (in bushels/acre) is approximately 2. The correct answer is option e.

We know that the 2nd and 98th percentile are 29 bushels/acre and 41 bushels/acre respectively, and we assume that the yield of wheat follows a normal distribution.

We can use the standard normal distribution to find the z-scores corresponding to the 2nd and 98th percentiles:

z2 = invNorm(0.02) ≈ -2.05

z98 = invNorm(0.98) ≈ 2.05

We can use the z-score formula to relate the percentiles to the mean and standard deviation of the normal distribution:

z = (x - μ) / σ

Rearranging, we get:

σ = (x - μ) / z

We can use this formula to find the standard deviation:

For the 2nd percentile:

σ = (29 - μ) / (-2.05)

For the 98th percentile:

σ = (41 - μ) / 2.05

Since we want the standard deviation in bushels/acre, we can assume that the units cancel out, leaving us with:

(41 - μ) / 2.05 = (μ - 29) / (-2.05)

Solving for μ, we get:

μ = 35

Substituting this value of μ back into either of the equations for σ, we get:

σ ≈ 2.449

Therefore, the standard deviation (in bushels/acre) is approximately 2. The correct answer is option e.

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The temperature at midnight was -9°C.

The temperature dropped by 1.8°C each hour from midnight to 8:00 am, which means that the temperature dropped 1.8 x 8 = 14.4°C during this time.

If the temperature at 8:00 am was -23.4°C, then the temperature at midnight must have been -23.4°C + 14.4°C = -9°C.

Therefore, the temperature at midnight was -9°C.

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The volume of the cube expressed as a fraction will be 27x³y³ / 64.

Given that:

Volume, V = (0.75xy)³

It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The volume of the cube expressed as a fraction is calculated as,

V = (0.75xy)³

V = (3xy/4)³

V = 27x³y³ / 64

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Note that the value of integers m and n are   m =  5 and n  = 3.   Understand that there are other   ways one can solve this.

We begin by trying different values of m and n that satisfy the given equation.

If we let m = 5 and n = 2, then:

m² - n² = 5² - 2² = 25 - 4 = 21

So m = 5 and n = 2 is one possible solution to the equation m² - n² = 21.

Recal that an equation is simply a math expression that is uxed to codify real world situations or sometimes, ficticious ones.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

I need to find the value of m and n

m² - n² = 21

If f(x)=x²-4 and g is a differentiable function of x, what is the derivative of f(g(x)) is 2g(x)g'(x). The answer is (D) 2g(x)g'(x).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

We can use the chain rule to find the derivative of f(g(x)):

(f(g(x)))' = f'(g(x)) * g'(x)

First, we need to find f'(x), which is the derivative of f(x) with respect to x:

f'(x) = 2x

Next, we can substitute g(x) for x in f'(x) to get f'(g(x)):

f'(g(x)) = 2g(x)

Finally, we can plug in f'(g(x)) and g'(x) into the chain rule formula to get the derivative of f(g(x)):

(f(g(x)))' = f'(g(x)) * g'(x) = 2g(x) * g'(x)

Therefore, the answer is (D) 2g(x)g'(x).

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The given statement " If two sounds can form a minimal pair, they are allophones of two distinct phonemes." is true. because when two sounds can form a minimal pair, it demonstrates that the difference between the sounds is crucial for distinguishing the meaning of the words in the language as a result these sounds cannot be considered as allophones of the same phoneme, as they do not share the same underlying representation.

A minimal pair refers to two words that differ in only one sound but have different meanings. For example, "bat" and "pat" differ only in their initial consonants, /b/ and /p/, but have distinct meanings. This difference in meaning indicates that the two sounds are part of separate phonemes.

Phonemes are the basic, abstract units of sound in a language that can change the meaning of a word when substituted for one another. Allophones, on the other hand, are the various concrete realizations of a phoneme that do not change the meaning of a word. They are considered to be different surface forms of the same underlying phoneme.

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The mean with the outlier is 20.2.

The median with the outlier is 18.

The mean without the outlier is 17.6.

The median without the outlier is also 18.

To find the middle, we must first sort the dossier from shortest to capital:

3, 7, 9, 12, 14, 18, 20, 21, 24, 31, 35, 68

When a set of 12 numbers is orderly, the middle is the middle profit. If skilled are an even number of variables, the middle is the average of two together middle principles.

(accompanying deviation) Median = 18

To decide the mean outside the deviation, first away it and therefore recalculate the mean utilizing the staying principles:

20 + 3 + 9 + 21 + 24 + 14 + 18 + 7 + 35 + 12 + 31 = 194

There are now 11 principles, that wealth:

The mean (no outliers) is 194/11 = 17.6.

To reckon the middle outside the oddity, we must organize the staying principles in the following order:

3, 7, 9, 12, 14, 18, 20, 21, 24, 31, 35

When a set of 11 numbers is orderly, the middle is the middle worth. If skilled are an even number of variables, the middle is the average of two together middle principles.

Median (no outliers) = 18

As a result, the mean accompanying the aberration is 20.2 and the middle is 18. The mean, forbidding the oddity, is 17.6, and the middle, forbidding the deviation, is still 18.

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Based on the residual plot, is the linear model appropriate is option (D). Yes, half of the residuals are positive and half are negative.

The residual plot is one that can be a scatterplot of the residuals (the contrasts between the observed  values as well as the predicted values) against the indicator variable. The reason of this plot is to check the presumption that the errors are randomly conveyed and have steady fluctuation over the run of the indicator variable.

In the event that the linear show is fitting for the information, the residuals ought to be randomly scattered around the flat line at zero. The reality that half of the residuals are positive and half are negative indicates that there's no systematic bias within the predictions.

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Answer:

Step-by-step explanation:

1/2 ton is 1000 pounds

1/4 pound is 4 ounces

2 1/2 pounds is 40 ounces

Answer: Let's denote the number of toy cars that Thomas had at first as T, and the number of toy cars that they were given each as x.

After they were given an equal number of toy cars, Zack had twice the number of toys cars as he had at first, which means that Zack had 2x toy cars.

Also, we know that 2/3 of Zack's toy cars were now 1/2 of Thomas's toy cars, so we can write:

2/3 * 2x = 1/2 * (T + x)

Multiplying both sides by 3/2:

2x = 3/4T + 3/4x

Simplifying:

5/4x = 3/4T

Since Zack has 36 more toy cars than Thomas now, we can write:

2x - x = T + x - 36

Simplifying:

x = T/3 + 12

We can now substitute x in the second equation:

5/4(T/3 + 12) = 3/4T

Multiplying both sides by 12:

5T/4 + 60 = 9T/4

Subtracting 5T/4 from both sides:

T/2 = 60

T = 120

So Thomas had 120 toy cars at first, and they were given a total of:

2 * x + T + 2x - (T + x) = 3x + 2T = 3(T/3 + 12) + 2T = 5T + 108 = 708

Toy cars altogether.