Write the equation of the line with the slope of 10 that goes through the point 8,-2 in point slope form

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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The absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

To find the absolute maximum and minimum values of the function f(x) = -4x^2 + 12x - 4 on the interval [1, 2], we need to check the critical points and the endpoints of the interval.

First, let's find the critical points by taking the derivative of the function:

f'(x) = -8x + 12

To find the critical points, set f'(x) to 0 and solve for x:

-8x + 12 = 0
x = 3/2

Now, we have 3 points to check: x = 1, x = 3/2, and x = 2.

Evaluate the function at each point:

f(1) = -4(1)^2 + 12(1) - 4 = -4 + 12 - 4 = 4
f(3/2) = -4(3/2)^2 + 12(3/2) - 4 = -9 + 18 - 4 = 5
f(2) = -4(2)^2 + 12(2) - 4 = -16 + 24 - 4 = 4

Comparing the function values at these points, we find that the absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

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Answer:

The absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

To find the absolute maximum and minimum values of the function f(x) = -4x^2 + 12x - 4 on the interval [1, 2], we need to check the critical points and the endpoints of the interval.

First, let's find the critical points by taking the derivative of the function:

f'(x) = -8x + 12

To find the critical points, set f'(x) to 0 and solve for x:

-8x + 12 = 0

x = 3/2

Now, we have 3 points to check: x = 1, x = 3/2, and x = 2.

Evaluate the function at each point:

f(1) = -4(1)^2 + 12(1) - 4 = -4 + 12 - 4 = 4

f(3/2) = -4(3/2)^2 + 12(3/2) - 4 = -9 + 18 - 4 = 5

f(2) = -4(2)^2 + 12(2) - 4 = -16 + 24 - 4 = 4

Comparing the function values at these points, we find that the absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To solve the expression , use the rules of indices

Since the bases are the same and are multiplying we add the exponents

That's

So we have

We have the final answer as

Hope this helps you

Gwendolyn is deemed physically present in the United States for 93 days in 2023 under the substantial presence test formula.

The substantial presence test is used by the United States Internal Revenue Service (IRS) to determine if a person qualifies as a resident for tax purposes based on their physical presence in the United States.

The formula for calculating the substantial presence test is as follows:

(Number of days present in the current year) + (1/3 of the number of days present in the first preceding year) + (1/6 of the number of days present in the second preceding year)

Using this formula, we can calculate Gwendolyn's total days of physical presence in the United States for the three years:

2021: 48 days

2022: 189 days

2023: 93 days

Plugging in the values into the formula:

93 + (1/3 * 189) + (1/6 * 48) = 93 + 63 + 8 = 164

Since the result is less than 183 days, Gwendolyn is not considered a resident for tax purposes in 2023. However, her presence in the United States will still be taken into account for determining her tax obligations.

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Answer:

the first point is (-3,0) the second is (0,-1)

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

9-6 = 3 x 8 = 24

9-6 comes first because it is in parenthesis

2 answers:

B) integer

C) Rational

=========================

The original expression simplifies to -4 which is part of the set of integers {..., -3, -2, -1, 0, 1, 2, 3, ...}

We can write -4 as a fraction of two integers -4 = -4/1, so it is also a rational number.

Because it's rational, it cannot be irrational.

The set of whole numbers is {0, 1, 2, 3, ...} which doesn't involve negative values. If you want to include negative values, then use the set of integers.

The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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Answer:

Step-by-step explanation:

"cos" by itself is meaningless. It needs an argument.

cos(x°) = 5/36

x° = arccos(5/36) ≅ 82.2°

Answer:

im not sure im really sorry

Step-by-step explanation:

im answering this because i have the same question

Using proportions, it is found that the depth of the first level is of -23.7 ft.

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

5 levels - -118.5 ft

1 level - x

Applying cross multiplication:

\(5x = -118.5\)

\(x = -\frac{118.5}{5}\)

\(x = -23.7\)

The depth of the first level is of -23.7 ft.

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The subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂] has a basis consisting of the vectors [1, 3, -7, 3] and [0, 1, 8, -6].

Vectors are an essential component of linear algebra and are used to represent quantities that have both magnitude and direction.

Now, let's consider the subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂].

To find a basis for this subspace, we need to find a set of vectors that are linearly independent and span the subspace.

Let's consider the equation a[1, 3, -7, 3] + b[0, 1, 8, -6] = [0, 0, 0, 0] for some coefficients a and b. This gives us the system of equations:

a = 0

3a + b = 0

-7a + 8b = 0

3a - 6b = 0

The first equation immediately gives us a = 0, and substituting this into the second equation gives us b = 0 as well. Therefore, the two vectors we found are linearly independent, and hence form a basis for the subspace.

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The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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An example of a linear function table is y=3x

A linear function is used to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable. Linear functions are those whose graph is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

for example:

y=3x hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change the unrelated variable x, 3.

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Answer:

The square perimeter is 8 ft long

Step-by-step explanation:

Answer:

Perimeter of the square =4*all length

Step-by-step explanation:

Perimeter =4*2=8

The Perimeter of the mirror =8

True. Data Envelopment Analysis (DEA) is best used in an environment of low diverges and high complexity. In such situations, DEA can effectively analyze and compare the efficiency of decision-making units, even when dealing with multiple inputs and outputs.

Data Envelopment Analysis (DEA) is a method used to measure the efficiency of decision-making units. It works by analyzing a set of inputs and outputs to determine the relative efficiency of each unit. DEA is best suited for situations where there is low diverges among the units being analyzed, meaning they are all operating under similar conditions. Additionally, DEA is most effective in situations of high complexity, where there are multiple inputs and outputs that need to be considered. Therefore, the statement that DEA is best used in an environment of low divergence and high complexity is true.

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The amount Shirley paid for the Fax machine is $488.

Shirley buys a fax machine and sells it to Devi at a gain of 25% on the cost price.

let the cost Shirley bought the machine = x

Therefore,

selling price = 25% of x + x = 0.25x + x = 1.25x

Devi then sells the fax machine to Amirah at a loss of 250 on the price at which she buys it from Shirley.

Amirah pays $360 for the fax machine.

Therefore,

loss = cost price - selling price

250 = 1.25x - 360

Therefore,

250 + 360 = 1.25x

610 = 1.25x

x = 610 / 1.25

x = $488

Therefore, the amount Shirley paid for the Fax machine is $488.

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The natural numbers are "closed" under addition and multiplication. ... The subtraction of two natural numbers does NOT necessarily create another natural number (3 - 10 = -7). The division of two natural numbers does NOT necessarily create another natural number (1 ÷ 2 = ½). not closed under subtraction and division.

We can argue that the volume of square prism is greater than the volume of the cylinder.

To find the volume of a prism, we need to multiply the of area of base by the height. Since the height is the same for both the square prism and the cylinder, we can focus on comparing the areas of their respective cross-sections.

The area of the cross-section of the square prism is given as 157 square units. Since the cross-section is a square, we can find the side length by taking the square root of the area. So, the side length of the square is √157 units.

The area of the cross-section of the cylinder is given as 50π square units. Since the cross-section is a circle, we can find the radius by taking the square root of the area divided by π. So, the radius of the cylinder is √(50π/π) = √50 units.

Now, to compare the volumes, we need to calculate the volume of each shape. The volume of the square prism is equal to the area of the base multiplied by the height, which is (√157)^2 * height. The volume of the cylinder is equal to the area of the base (π * (√50)^2) multiplied by the height. Since the heights are the same, we can compare the volumes by comparing the areas of the bases.

Since (√157)^2 is greater than (√50)^2, we can conclude that the area of the base of the square prism is greater than the area of the base of the cylinder. Therefore, the volume of the square prism is greater than the volume of the cylinder.

In summary, based on the given information, we can argue that the volume of the square prism is greater than the volume of the cylinder.

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Answer:

Look below.

Step-by-step explanation:

1 pound=16 ounces

If each cereal box contains 18 then that means that one box has 1 pound and 2 ounces. We need about 72 ounces to reach 4 pounds.

72/18=4 ------->  4 boxes of cereal.

Answer:

x = -4, 2

Step-by-step explanation:

(2x + 2)² = 36

Remember that the square root of 36 has a positive and a negative root.

(2x + 2) = ±6

2x + 2 = -6                                       2x + 2 = 6

     2x = -8                                              2x = 4

       x = -4                                                 x = 2

Therefore, the solution(s) of the equation are x = -4, 2

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

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Answer:

x = 6

Step-by-step explanation:

The two triangles are similar so to find x we can use similarity ratio

x/18 = 8/24 cross multiply fractions

24x = 144 divide both sides by 24

x = 6

By simplifying each expression:

−6(3i) (−2i) = -36

2(3 − i)(−2 + 4i) = -4+28i

2i(4 − 5i) = 10+8i

Simplifying each expression step by step:

1. −6(3i)(−2i) =  -6 (-6i²)

= 36 (-1)

= -36

2. 2(3 − i)(−2 + 4i)

= 2 x (-6+12i+2i-4i²)

= -12 +24i +4i - 8i²

= -12 - 8i² +28i

=-12 - 8 (-1) + 28i

= -4+28i

3. 2i(4 − 5i)

= 8i - 10i²

= 8i -10(-1)

= 10+8i

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scientific notation to standard notation is true

8.05 times 10 Superscript 5 Baseline = 805,000

7.09 times 10 Superscript negative 6 Baseline = 0.00000709

8 times 10 Superscript 7 Baseline = 80,000,000

1.03 times 10 Superscript negative 4 Baseline = 0.000103

The right format for scientific notation is an x 10^b wherein a is no. or decimal quantity such that absolutely the cost of a is extra than or same to 1 and much less than ten or, 1 ≤ |a| < 10. b is the energy of 10 required so that the clinical notation is mathematically equal to the unique quantity.

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Answer:

C. 80 times 10 Superscript 3 baseline

Step-by-step explanation: