x+4
4. You just got a dog and need to put up a fence around your yard. Your yard has a length of
3xy2 + 2y-8 and a width of -2xy² + 3x - 2. Write an expression that would be used to find
how much fencing you need for your yard.

Yes, there is an effect of training. To determine this, we will use a two-tailed test.

This test is used to compare the difference in means between two sets of data. In this case, we are comparing the number of headaches before and after the relaxation training.

First, we will calculate the mean difference in headaches, which is -2.5. Next, we will calculate the standard deviation of the difference scores, which is 3.58. Finally, we will calculate the t-score, which is -1.4.

Since the t-score is lower than the critical value of 2.576, we can reject the null hypothesis that there is no effect of training. This means that the relaxation training did have an effect on the number of headaches for chronic headache sufferers.

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Answer:

c. 123 feet

Step-by-step explanation:

The circumference formula is 2πr

2*19.5 = 39

39*π ≈ 123

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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The area of the triangular prism is 336 ft².

Area is the region occuppied by a plane shape.

To calculate the total surface area of the triangular prism, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence the area is 336 ft²

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Given the price the stickers can be sold for, and the cost in total of the stickers, you can make profit.

The total revenue that can be made on the sale of the 600 stickers that you got, would be:

= ( Number of stickers in total / Number of stockers per pack ) x Price per sticker pack

= 600 / 10 x 2

= 60 x 2

= $ 120

Your profit would be:

= Total revenue from stickers - total cost

= 120 - 26. 97

= $ 93. 03

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Answer: Angelia rides 23.33 miles in 5 days.

Step-by-step explanation:

Angelia lives 2 1/3 miles from school, which is equivalent to 2 + 1/3 = 2.333 miles. She rides her bicycle to school and back each day, so she travels twice the distance daily.

Daily distance = 2 × 2.333 miles = 4.666 miles

She does this for 5 days, so the total distance she rides in 5 days is:

Total distance = 4.666 miles/day × 5 days = 23.33 miles

So, Angelia rides 23.33 miles in 5 days.

Answer:23.5 miles (i think)

Step-by-step explanation:

If Angelia bikes 2 1/3 miles 2 times everyday that means she would ride about 4.7 miles per day. In 5 days she would ride 23.5 miles because 4.7 times 5 is 23.5

Answer:

The answer is 35.

Step-by-step explanation:

The given polynomial is p(x) = 5x² -4x + 2 we substitute x = 3 in the polynomial:

p(3) = 5(3)² -4(3) + 2 = 5×9 - 12 + 2 = 45 - 12 + 2 = 47 - 12 = 35

Hence, p(3) =35

Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15

(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

Answer:

(x-12)² + (y-6)² = 36 (Option C)

Step-by-step explanation:

use circle formula

(x-h)² + (y-k)²= r²

h= 12 and k= 6 and r= 6

(x-12)² + (y-6)² = 6²

6 squared = 36 (6·6)

(x-12)² + (y-6)² = 36

Answer:

x = 4, y = 2

Step-by-step explanation:

3x - 2y = 8

-2y = -3x + 8

y = 3/2x - 4

2x + 4(3/2x - 4) = 16

2x + 6x - 16 = 16

8x = 32

x = 4  

3(4) - 2y = 8

12 - 2y = 8

-2y = -4

y = 2

The value of the function (f/g)(x) is (x+5)/(3x+5) if f(x) = 3x² + 10x - 25

g(x) = 9x²-25.

The earliest known attempt to the concept of function may be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability.

Given,

f(x) = 3x² + 10x - 25

g(x) = 9x² - 25

To find (f/g)(x) divide f(x) by g(x)

(f/g)(x)=(3x²+ 10x-25)/(9x²-25)

We have to factorize both the numerator and denominator

For the numerator

3x²+10x-25

3x²+15x-5x-25

3x(x+5)-5(x +5)

(3x-5 )(x+5)

For the denominator

9x² - 25

(3x)² - 5²

We have to use the formula,

a²- b² = (a+b)(a-b)

(3x)²-5² = (3x+5)(3x-5)

Therefore,

(f/g)(x)=(3x-5)(x+5)/(3x+5)(3x-5)

By simplifying we get,

(f/g)(x)=(x+5)/(3x+5)

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The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{-8+4}\implies \cfrac{-10}{-4}\implies \cfrac{5}{2}\)

The surface area of the composite figure shown in the image is 952 ft²

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of composite is the sum of the individual areas of the surface.

Hence:

Surface area of composite = 2(14 * 9) + 2(0.5 * 10 * 8) + 2(10 * 10) + 2(10 * 14) + (10 * 14) = 952 ft²

The surface area of the composite figure shown in the image is 952 ft²

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Answer:

When the imposter is sus da da da da da da dada ding

Step-by-step explanation:

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

In the given scenario, the researcher reviews study data about head circumference in newborns and notes that study

personnel are measuring from the end of the measuring tape and not from the zero point, which is 1 cm from the end.

This is an example of systematic measurement error.

Systematic measurement error refers to a consistent deviation from the true value in a particular direction in a series of

measurements.

This error is also referred to as bias. In the given scenario, the personnel are measuring from the end of the measuring

tape and not from the zero point, which is 1 cm from the end.

This results in the systematic measurement error as the deviation is consistently in one direction. Hence, this is an

example of systematic measurement error.

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Answer:

its y=2x so yaa thats ittt

Answer:

The probability of C appearing in two adjacent positions is the product of the probability of C appearing in the first position and the probability of C appearing in the second position given that C appeared in the first position:

P(CC) = P(C in first position) * P(C in second position | C in first position)

Using the given information, we know that P(C in first position) = 0.341 and P(C in second position | C in first position) = 0.368. Therefore:

P(CC) = 0.341 * 0.368 = 0.125488

So the probability of a randomly chosen pair of adjacent nucleotides being CC is approximately 0.125.

The probability that the next position is C given that the current position is not C is the conditional probability:

P(C in next position | not C in current position) = P(C in next position and not C in current position) / P(not C in current position)

The numerator is the probability of C in the next position and not C in the current position, which is equal to the probability of not C in the current position times the probability of C in the next position given that the current position is not C:

P(C in next position and not C in current position) = (1 - 0.341) * P(C in next position | not C in current position)

The denominator is the probability of not C in the current position, which is equal to 1 minus the probability of C in the current position:

P(not C in current position) = 1 - 0.341

Using the given information, we know that P(C in next position | not C in current position) = 0.159. Therefore:

P(C in next position | not C in current position) = [(1 - 0.341) * 0.159] / (1 - 0.341) = 0.159

So the probability that the next position is C given that the current position is not C is approximately 0.159.

If a position n along the strand is C, then the probability that position n + 2 is also C is:

P(C in n + 2 position | C in n position) = P(C in n + 2 position and C in n position) / P(C in n position)

The numerator is the probability of C in both position n and position n + 2, which is equal to the probability of C in position n times the probability of C in position n + 2 given that C appeared in position n:

P(C in n + 2 position and C in n position) = 0.341 * 0.368

The denominator is the probability of C in position n, which is equal to 0.341:

P(C in n position) = 0.341

Therefore:

P(C in n + 2 position | C in n position) = (0.341 * 0.368) / 0.341 = 0.368

So the probability that position n + 2 is also C given that position n is C is approximately 0.368.

Similarly, the probability that position n + 4 is also C given that position n is C is:

P(C in n + 4 position | C in n position) = P(C in n + 4 position and C in n position) / P(C in n position)

The numerator is the probability of C in both position n and position n + 4, which is equal to the probability of C in position n times the probability of not C in position n + 1 times the probability of not C in position n + 2 times the probability of C in position n + 3 times the probability of C in position n + 4 given that C appeared in position n + 3:

P(C in n + 4 position and C in n position) = 0.341 * 0.659 * 0.632 * 0.368

The denominator is still the probability of C in position n, which is equal to 0.341:

P(C in n position) = 0.341

Therefore:

P(C in n + 4 position | C in n position) = (0.341 * 0.659 * 0.632 * 0.368) / 0.341 = 0.158

So the probability that position n + 4 is also C given that position n is C is approximately 0.158.

If C appeared independently in any one position with probability 0.341, then the probabilities calculated in parts (a)-(c) would be different. In particular:

(a) The probability of C in two adjacent positions would be the product of the probability of C in each position, since the positions are independent:

P(CC) = 0.341 * 0.341 = 0.116281

So the probability of a randomly chosen pair of adjacent nucleotides being CC is approximately 0.116.

(b) The probability that the next position is C given that the current position is not C would be the same as the overall probability of C, since the positions are independent:

P(C in next position | not C in current position) = P(C) = 0.341

(c) The probability that position n + 2 is also C given that position n is C would be the same as the overall probability of C, since the positions are independent:

P(C in n + 2 position | C in n position) = P(C) = 0.341

Similarly, the probability that position n + 4 is also C given that position n is C would also be the same as the overall probability of C:

P(C in n + 4 position | C in n position) = P(C) = 0.341

Answer:

1.) slope is 6

2.) slope is -4

4.)slope is undefined

Step-by-step explanation:

1.) For one we can use the equation y2-y1/ x2-x1

First, pick any 2 points that you want to use to plug into the equation

(0, -3) and (1, 3)

Next, plug in and solve!

3-(-3)/ 1-0= 6

The slope is 6

2.) We can use this same equation for the problem and plug in!

(-1, 5) (2,-7)

-7- 5/ 2-(-1)= -4

The slope is -4!

4.) Use the same equation and find the slope!

(8, 1) and (8, 2)

2-1/ 8-8= undefined

Because we cannot divide by a 0 the slope is undefined!

Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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Answer:

580 : 1120 : 104

Step-by-step explanation:

1.12 ml -> 1120 ml

hence,

580 : 1120 : 104

The cost of each lily is $3.25, and the cost of each rose is $6.50 according to the first arrangement and second arrangement.

Let's assume the cost of each lily is represented by "L" and the cost of each rose is represented by "R." Based on the given information, we can form a system of linear equations.

From the first arrangement, we know that 5 lilies and 1 rose cost $19.75. This can be written as the equation 5L + R = 19.75.

From the second arrangement, we know that 6 lilies and 3 roses cost $27.75. This can be written as the equation 6L + 3R = 27.75.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by -1 to eliminate the R term:

15L + 3R = 59.25

-6L - 3R = -27.75

Adding the equations, we get:

9L = 31.50

Divide both sides by 9:

L = 3.50

Now substitute the value of L back into one of the original equations. Let's use the first equation:

5(3.50) + R = 19.75

17.50 + R = 19.75

Subtract 17.50 from both sides:

R = 2.25

Therefore, the cost of each lily is $3.50, and the cost of each rose is $2.25.

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Answer:

a is greater or = to 3

Step-by-step explanation:

Answer:

It is the last one

Step-by-step explanation:

There aren't enough angles

Answer:

Step-by-step explanation:

1/12 = 0.0833

-1 = 0.000