emaining: 2:27:02 I Question A line passes through the point (2, -6) and has a slope of 6. Write an equation for this line.

Answer:

6

Step-by-step explanation:

122-8 shipping =114 /19=6

In a convex hexagon, if the area of the hexagonal region is 2116 (√2 + 1), then the value of AB is 46.

A convex hexagon is a hexagon in which all of the inner angles and all of the vertices have to be smaller than 180 degrees. There are both regular and irregular convex hexagons. Inside a convex hexagon, there are no angles. More specifically, no internal angle will exceed 180 degrees. Any internal angle which exceeds 180 degrees is concave.

Let the side length be x.

So, the diagonal BF = √(AB^2 + A F^2) = √(x^2 + x^2) = x√2.

Then, the areas of the triangles AFB and CDE in total equals (x^2 / 2) * 2, and the area of the rectangle BCEF equals x * x√2 = x^2 √2.

Now, let the equation be:

2116 (√2 + 1) = x^2√2 + x^2

And by simplifying the above equation, we will get:

2116 (√2 + 1) = x^2 (√2 + 1)

2116 = x^2

By taking root both sides, then it will be:

x = 46

Hence, the value of AB is 46.

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Although part of your question is missing, you might be referring to this full question: In a convex hexagon ABCDEF, all six sides are congruent, ∠A and ∠D are right angles. And ∠B, ∠C, ∠E and ∠F are congruent. The area of the hexagonal region is 2116 (√2 + 1). Find AB.

Answer:

your answer is 50 I hope it's helps you t

Answer:

50

Step-by-step explanation:

(5)(6+4)

5(6)+5(4)

30+20

50

THANK YOU

Basically we need to find the line equation. So let's take two pair of points and find the slope m:

Therefore:

Now, let's use the slope point equation:

Answer:

Since Mrs. Harper spent a total of $38.25, the cost of all the snacks she bought is $38.25. We can write this as the total cost of Takis plus the total cost of Sour Patch Kids, or $1.25 * t + $1.50 * s = $38.25, where t is the number of Takis and s is the number of Sour Patch Kids.

Mrs. Harper has 28 students, so if she bought the same number of each snack, she would have bought 28 / 2 = <<28/2=14>>14 of each snack. Plugging in 14 for both t and s in the equation above, we get $1.25 * 14 + $1.50 * 14 = $38.25, which means that the total cost of the snacks was $38.25. Since the total cost of the snacks was $38.25 and Mrs. Harper spent $38.25 on snacks, this means that she bought 14 of each snack.

Therefore, the statements that are true are "She bought the same number of each snack" and "She bought 15 of each snack." The other statements are not necessarily true.

Step-by-step explanation:

Answer:

144 is the surface area

Step-by-step explanation:

Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.

Answer:

50+45x

Step-by-step explanation:

Answer:

65 years old.

Step-by-step explanation:

If her age is 10 t + u (where t is the tens digit and u is the units digit) then reversing the digits gives 10 u + t. and the sum is 11 t + 11 u, which is a multiple of 11. We know this has to be a square number. Ong Xing Cong from Singapore sent in the following solution.

11 t + 11 u = 11 x 11 = 121

t + u = 11

65 - 56 = 3 x 3

She is 65 years old.

The best solutions do not need trial and improvement methods and they show that the answer or answers found are the only possible answers. Knowing the digits add up to 11 ( t + u = 11), you can also use (10 t + u ) - (10 u + t ) = 9 t - 9 u = 9( t - u ) As this is also a square number you know ( t - u ) is either 1, 4, or 9. The solutions for 4 and 9 don't give whole number values for t in 0  t  9.

The math teacher age is 65 years old.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

My age in years is not a prime, but is odd.

That means, the number is 10m+ n.

Where m is the digits having the place value 10 and n is the unit digit.

Also, when the digits in my age are reversed and the new number added to my age, the result is a perfect square.

That means,

10n + m + 10m + n,

= 11m + 11n

= 11(m+n)

= multiple of 11.

= 11 x 11

= 121

= 65 + 56

Of course, if you prefer, you can take my age and reverse the digits and subtract that from my age and still get a perfect square.

That means,

10n +m - 10m - n,

= 9n - 9m

= 9(n-m)

= 9

= 65 - 56

Therefore, the age is 65.

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By vertical line test the relation represented by given curved graphs is a function.

A relation is said to be a well defined function if one element of domain set is related to exactly one element of codomain.

Here it is clear that if we draw a vertical line at any point that line cuts through only one point of the curve.

So vertical line test shows that one point of X axis i.e. one element of domain is related to one point on Curve i.e. one element of Codomain.

Hence by vertical line test we can say that the relation given is a function.

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Answer:

a. 5×=8+2

5×=10

b. 4×-2×=9+3

2×=13

c. 6×-2×=8-3

4×=5

The null hypothesis (H0) is that the manufacturer's claimed mpg rating is correct and the alternative hypothesis (Ha) is that it is incorrect.

To test this, we need to conduct a hypothesis test using the sample mean and standard deviation. We can use a one-sample t-test since we have the sample mean and standard deviation.

The formula for the t-test is:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

In this case, the hypothesized mean is the manufacturer's claimed mpg rating of 53.2 mpg. The sample mean is 53.3 mpg, the standard deviation is 2.5 mpg, and the sample size is 25.

Plugging these values into the formula, we get:

t = (53.3 - 53.2) / (2.5 / sqrt(25)) = 0.2 / 0.5 = 0.4

To determine if this t-value is statistically significant at the 0.1 level, we need to compare it to the critical t-value for a one-tailed test with 24 degrees of freedom (sample size minus one). Using a t-table or calculator, we find the critical t-value to be 1.711.

Since our calculated t-value of 0.4 is less than the critical t-value of 1.711, we fail to reject the null hypothesis. Therefore, there is not sufficient evidence at the 0.1 level to conclude that the cars have an incorrect manufacturer's mpg rating.

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Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

x=u/k

Step-by-step explanation:

To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x

x is equal to u divided by k.

x=u/k

Answer:

Option (3)

Step-by-step explanation:

Correct steps for the proof are,  

 Step                                Statement

       1                             cos(2x) = 1 - 2sin²(x)

       2                             Let 2x = θ

       3                              x = \(\frac{\theta}{2}\)

       4                             \(\text{cos}\theta = 1 - 2\text{sin}^2(\frac{\theta}{2} )\)

       5                             \(\text{cos}\theta-1 =-2\text{sin}^2(\frac{\theta}{2} )\)

       6                             \(1-\text{cos}\theta =2\text{sin}^2(\frac{\theta}{2} )\)

       7                              \(\frac{1-\text{cos}\theta}{2} =\text{sin}^2(\frac{\theta}{2} )\)

       8                             \(\pm \sqrt{\frac{1-\text{cos}\theta}{2} }=\text{sin}(\frac{\theta}{2} )\)

There is a mistake in step 6.

Therefore, Option (3) will be the answer.

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

\(-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114\)

Now we can solve

\(-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410\)

Answer:

\(-1440\)

Step-by-step explanation:

------------------------------

Given:

\(-4x^4-3x^3-29x^2-114=\)

\(x=-4\)

--------------->>>>

Let's substitute \(-4\) for \(x\) and solve

\(-4(-4)^4-3(-4)^3-29(-4)^2-144=\)

Multiply the exponents

\(-4(256)-3(-64)-29(16)-144=\)

Multiply the parenthesis

\(-1024+192-464-144=\)

\(-832-464-144=\)

\(-1296-144=\)

\(=-1440\)

------------------------------

Hope this helps.

Answer: Answer:the person entering the room is 10 years oldStep-by-step explanation:x / 5 = 40x = 40 * 5x = 200so the total of all the ages of 5 people

Step-by-step explanation:

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Surface area is area of all the surfaces added together.

There are 5 surfaces ----- 3 rectangles and 2 triangles.

The formula for area of rectangle is

Area = length * width

The formula for area of triangle is

Area = 1/2 * base * height

Now, lets find all the 5 surface areas. Shown below:

1. Left Rectangle Area = 4 * 6 = 24

2. Middle Rectangle Area = 5 * 6 = 30

3. Right rectangle area = 3 * 6 = 18

4. Top Triangle Area = 1/2 * 3 * 4 = 6

5. Bottom triangle area = 1/2 * 3 * 4 = 6

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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Answer:

slope: 3/2

Step-by-step explanation:

Answer:

the answer to the question is 3/2

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:a

Step-by-step explanation: move c 6 to the right and then up 6

Answer:

A

Step-by-step explanation:

(x, y) → (x + 6, y + 6)

C:

(-4, -2) → (x + 6, y + 6)

(-4, -2) → (-4 + 6, -2 + 6)

(-4, -2) → (2, 4)

C': (2, 4)

(2, 4) is located where A is.

The value of SS for this population cannot be determined with the given information.

The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.

However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).

Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.

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Since Samantha defines x as the number of front-seat tickets, the total dollar sales for lawn tickets would depend on the number of front-seat tickets sold.

Out of the given options, the expression that Samantha could use on the chart to represent the total dollar sales for lawn tickets is:

A) 20(x + 600)

In this expression, x represents the number of front-seat tickets, and multiplying it by 20 accounts for the dollar amount per lawn ticket. Adding 600 accounts for a constant factor or any additional fixed costs associated with the lawn tickets.

Therefore, the correct option is A) 20(x + 600).

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LD50 refers to the lethal dose for 50% of the test population. LD stands for "Lethal Dose," and the 50 refers to the fact that the lethal dose is lethal for 50% of the population.

If a group of animals or humans are given a certain substance, the LD50 is the dose at which 50% of the group will die. This measure is often used in toxicology studies to determine the toxicity of a substance. For example, if a group of rats is given a certain chemical and the LD50 is found to be 500 mg/kg, it means that if 500 mg/kg of the chemical is given to a group of rats, 50% of the rats will die. LD50 is a useful measure for comparing the toxicity of different substances, as a lower LD50 indicates a higher level of toxicity.

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Answer: She is given $210 and spends $58

She earns $580 and spends $420

Step-by-step explanation: