pls hurry will mark brainliest but have to show work
solve the move step equation
x + 10 = - x + 28

The standard equation of a hyperbola with a vertical transverse axis, centered at the origin, and values of a = 9 and b = 4 is y^2/81 - x^2/16 = 1.

The standard equation of a hyperbola centered at the origin with a vertical transverse axis is given by (y^2/a^2) - (x^2/b^2) = 1. In this case, we are given that a = 9 and b = 4, so substituting these values into the equation, we get:

(y^2/81) - (x^2/16) = 1

This is the standard equation of the hyperbola in question. It tells us that the center of the hyperbola is at the origin (0,0), the transverse axis is vertical (parallel to the y-axis), and the distance from the center to the vertices is 9 units (which is the value of a).

The distance from the center to the foci is given by c = sqrt (a^2 + b^2), which in this case is sqrt (81 + 16) = sqrt (97). The asymptotes of the hyperbola are the lines y = (a/b) x and y = -(a/b) x, which in this case are y = (3/4) x and y = -(3/4) x.

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Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ and solve for 'x'

Let's solve:

 \(x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0\)

Let's find the x-values:

   \((x-4)=0\\x=4\\\\(x+4)=0\\x=-4\)

Let's find f(x)'s value for each 'x':

 \(x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27\)

Answer: (4, 11), (-4,27)

Hope that helps!

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the correct format for a multiple regression equation is

ŷ= \(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\)

multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.

because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.

thus, ŷ=\(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\) is the multiple regression equation.

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The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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Answer:

38 degrees

Step-by-step explanation:

To get the answer, we need to subtract the first angle from the second angle:

84-46=38

The minute hand turned 38 degrees from its first to second position.

How to check the answer? Use inverse operations.

46+38=84

Answer:

The one on the left

Step-by-step explanation:

i thought about it and its the dot on the left

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

acute

Step-by-step explanation:

It measures less than 90 degrees

Answer:

Acute angle

Step-by-step explanation:

(less than 90°)

Answer:

72

Step-by-step explanation:

3793 - 72 = 3721

\(\sqrt{3721}\) =61

Answer:

-15a^2+20ab

Step-by-step explanation:

Given data

We are given the expression

(-3a + 4b) to be multiplied by 5a

hence we have

(-3a + 4b)*5a

open bracket

-15a^2+20ab

Hence the answer is

-15a^2+20ab

Answer:

Adding the x² terms gives us 9x² + 3x² = 12x², combing the x terms gives us 3x - 5x = -2x and -2 - 3 = -5 so the answer is 12x² - 2x - 5.

Answer:

12x²- 2x -5

Step-by-step explanation:

actually this is the sum

(9x² + 3x – 2) + (3x² – 5x – 3)=

9x² + 3x – 2 + 3x² – 5x – 3=

(9+3)x² + (3-5)x- 5 = 12x²- 2x -5

Determination, also known as R-squared. The coefficient of determination, denoted by \(R^{2}\), is a statistical measure that ranges from 0 to 1 and indicates how well the regression equation fits the data.

An \(R^{2}\) value of 0 indicates that the regression equation does not explain any of the variation in the response variable, while an \(R^{2}\) value of 1 indicates that the regression equation perfectly explains all of the variation in the response variable. In general, a higher \(R^{2}\) value indicates a better fit of the regression equation to the data.

The formula for calculating \(R^{2}\) is:

\(R^{2} =  \frac{SSR}{SSTO}\)

where SSR is the sum of squares due to regression (also known as explained sum of squares), and SSTO is the total sum of squares (also known as the total variation).

The coefficient of determination is an important tool in regression analysis because it helps to determine the strength and direction of the relationship between the independent and dependent variables.

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Answer:

its 3.5

Step-by-step explanation:

since we need to replace x with 6 the equation is now 3(6) + 8y = -10.

next i would multiply  3&6 to 18 then subtract 8y to the other side like this

18 + 8y = -10

     - 8y         -8y

18= -10 -8y

then i would add -10 to 18 on that side

18= -10 -8y

+10   +10    

28 = 8y

then i divided

3.5 is my answer

The aspect ratio of a Television is the ratio of the width to the height of the television.

The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.

The ratio is represented as:

\(Width : Height = 16 : 9\)

Using Pythagoras theorem, we have:

\((16x)^2 + (9x)^2 = 50^2\)

\(256x^2 + 81x^2 = 2500\)

\(337x^2 = 2500\)

Divide both sides by 337

\(x^2 = 7.42\)

Take square roots of both sides

\(x = \sqrt{7.42\)

\(x = 2.72\)

So, the width of the image is:

\(Width = 16x\)

\(Width = 16 \times 2.72\)

\(Width = 43.52\)

The height of the image is then calculated as:

\(Height = 9x\)

\(Height = 9 \times 2.72\)

\(Height = 24.48\)

The height of the image is 24.48 inches

The height of each black bar is calculated as follows:

\(Width : Height = 1.85 : 1\)

Express as fraction

\(\frac{Height}{Width}= \frac{1}{1.85}\)

Make Height the subject

\(Height = \frac{1}{1.85}\times Width\)

Substitute \(Width = 43.52\)

\(Height = \frac{1}{1.85}\times 43.52\)

\(Height = 23.52\)

The height of each black bar is 23.52 inches

Lastly, the percentage of the screen’s area that is occupied by the image

First, we calculate the area of the bars

\(A_1 = Height \times Width\)

Where:

\(Height = 23.52\) and \(Width = 43.52\)

So:

\(A_1 = 23.52 \times 43.52\)

\(A_1 = 1023.59\)

Next, calculate the area of the 50-inch TV

\(A_2 = Height \times Width\)

Where

\(Width = 43.52\) and \(Height = 24.48\)

So:

\(A_2 = 24.48 \times 43.52\)

\(A_2 = 1065.37\)

So, the percentage occupied on the screen area is:

\(\% Screen = \frac{A_1}{A_2} \times 100\%\)

\(\% Screen = \frac{1023.59}{1065.37} \times 100\%\)

\(\% Screen = \frac{102359}{1065.37} \%\)

\(\% Screen = 96.08 \%\)

Hence, the percentage of the screen area occupied is 96.08%

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The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

The gradient vector field of f(x, y) = tan(3x − 5y) is (3sec^2(3x - 5y), -5sec^2(3x - 5y))

A gradient vector is a mathematical object that describes the direction of the steepest increase of a scalar function. In other words, it is a vector that points in the direction of the greatest rate of change of a scalar field.

To find the gradient vector field of f(x, y) = tan(3x − 5y), we first need to find the partial derivatives of f with respect to x and y.

The partial derivative of f with respect to x is:

df/dx = 3sec^2(3x - 5y)

The partial derivative of f with respect to y is:

df/dy = -5sec^2(3x - 5y)

The gradient vector field of f is then given by the vector function:

Grad f(x,y) = <df/dx, df/dy> = <3sec^2(3x - 5y), -5sec^2(3x - 5y)>

So the gradient vector field of f(x, y) = tan(3x − 5y) is (3sec^2(3x - 5y), -5sec^2(3x - 5y)).

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Answer:

9 pennies, 6 dimes, 12 quarters.

Step-by-step explanation:

Pennies = $0.01

Dimes = $0.10

Quarters = $0.25

Let x be the number of dimes. Then (x + 3) is the number of pennies and 2x is the number of quarters.

We have x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

$0.1x + $0.01x + $0.03 + $0.5x = $3.69

$0.61x = $3.66

x = 6.

Therefore Bob has 9 pennies, 6 dimes and 12 quarters.

The weight of the piknits can be used to predict the number of goggles as there is a Linear equation in variables that may be defined as a linear courting among x and y, that is, variables.

In this case,  let x is the impartial variable, and y relies upon it, so y is called as the established variable.

linear courting (or linear association) is a statistical period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = MX + b.

"There is no linear relationship between the weight and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals.

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The percentage of value-added time in a trip to the emergency room is 15.83%.

Given the following data:

Time taken by triage nurse before assessment = 14 minutes

Average time taken for assessment by triage nurse = 5 minutes

Time taken before examination room = 79 minutes

Time taken in the examination room for vitals and notes by nurse = 11 minutes

Time taken before the doctor sees the patient = 22 minutes

Average time taken by the doctor for treatment = 17 minutes

Time taken for the nurse to come to discuss post-treatment instructions = 6 minutes

Time taken to review the instructions with the patient = 4 minutes

Let us first calculate the total time taken,

Total Time = Time before examination room + time in examination room + time after treatment + time taken by the triage nurse

Total Time = 79 + 11 + 22 + 17 + 6 + 4

                  = 139 minutes

Now, let us calculate the total time spent on assessment and treatment.

This will include the time taken by the triage nurse and the doctor.

Total Time Spent on Assessment and Treatment = Time taken by triage nurse + time taken by the doctor

Total Time Spent on Assessment and Treatment = 5 + 17

                                                                                  = 22 minutes

Now, we can calculate the percentage of value-added time as follows,

Percentage of Value-Added Time = Total Time Spent on Assessment and Treatment / Total Time * 100

Percentage of Value-Added Time = 22 / 139 * 100

Percentage of Value-Added Time = 15.83%

Therefore, the percentage of value-added time in a trip to the emergency room is 15.83%.

Rounding off this value to 2 decimal places, we get the final answer as 15.83%.

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The probability of being issued the license plate q h l t 9 1 is very low because there are a total of 456,976 possible combinations (26 letters for the first slot, excluding o, multiplied by 26 letters for the second slot.

multiplied by 26 letters for the third slot, multiplied by 26 letters for the fourth slot, multiplied by 10 numbers for the fifth slot, and multiplied by 10 numbers for the sixth slot). Therefore, the probability of being issued a specific license plate like q h l t 9 1 is 1 in 456,976.

To find the probability of being issued the license plate QHLT91, we need to calculate the probability of each character being selected and then multiply those probabilities together.

1. There are 25 available letters (26 minus the letter O) for the first four characters. The probability of getting Q, H, L, and T are all 1/25.
2. There are 10 possible numbers (0-9) for the last two characters. The probability of getting 9 and 1 are both 1/10.

Now, let's multiply the probabilities together:

(1/25) * (1/25) * (1/25) * (1/25) * (1/10) * (1/10) = 1 / 39,062,500

So, the probability of being issued the license plate QHLT91 in Florida is 1 in 39,062,500.

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The solution to the equation in this problem is given as follows:

y = -4.

The equation for this problem is defined as follows:

\(\frac{y - 6}{y^2 + 3y - 4} = \frac{2}{y + 4} + \frac{7}{y - 1}\)

The right side of the equality can be simplified applying the least common factor as follows:

[2(y - 1) + 7(y + 4)]/[(y + 4)(y - 1)] = (9y + 26)/(y² + 3y - 4)

The denominators of the two sides of the equality are equal, hence the solution to the equation can be obtained equaling the numerators as follows:

9y + 26 = y - 6

8y = -32

y = -32/8

y = -4.

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Answer:

\(T' = (-7,10)\)

Step-by-step explanation:

Given

\(T = (10,7)\)

\(r = 270^o\) counterclockwise

Required

Graph of T'

The rule to this is:

\((x,y) \to (-y,x)\)

So, we have:

\(T(10,7) \to T' (-7,10)\)

Hence:

\(T' = (-7,10)\)

See attachment for graph

Answer:

The answer is No

Step-by-step explanation:

None of these match eachother or make any sense

The continuous compounding equation shown the value of the account after t years is given as follows:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is of 8.22%.

The balance of an account after t years of continuous compounding is given by the equation presented as follows:

\(A(t) = A(0)e^{kt}\)

In which the variables of the equation are described as follows:

In the context of this problem, the values of these parameters are given as follows:

A(0) = 8000, k = 0.079.

Hence the equation is:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is calculated as follows:

\(e^{k} - 1 = e^{0.079} - 1 = 1.0822 - 1 = 0.0822 = 8.22\%\)

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:     Seven hundred thirteen point forty-nine.

Step-by-step explanation:    Hope this helps ;)

The optimal weekly stocking level for avocados is 220 avocados.

Given,Weekly demand = 200

Standard deviation = 10Cs = $4.50Ce = $1.25

The objective is to determine the optimal weekly stocking level for avocados.Step-by-step explanation:Let x be the weekly stocking level for avocados. Then the expected cost (C) is given by:C = CsP(stockout) + CeP(excess) + Co,where P(stockout) is the probability of a stockout, P(excess) is the probability of excess inventory, and Co is the cost of ordering avocados.

Since avocados have a normal distribution, we have:

P(stockout) = P(Z > (x - 200)/10) = 1 - P(Z < (x - 200)/10),P(excess) = P(Z < (x - 200)/10),

where Z is the standard normal random variable with mean 0 and standard deviation 1. We want to minimize C, so we differentiate with respect to x and set equal to 0:dC/dx = (Cs/10)phi((x - 200)/10) - (Ce/10)phi(-(x - 200)/10) = 0,where phi is the standard normal probability density function. Solving for x, we get:x = 200 + 10(Phi^(-1)(Ce/Cs)),where Phi^(-1) is the inverse standard normal cumulative distribution function. Plugging in the given values, we get:x = 200 + 10(Phi^(-1)(1.25/4.50)) = 200 + 1.96(10) = 219.6 (rounded to nearest whole number)

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(D) lim f(x) = f(4) as x approaches 4: This statement must be true. This is a consequence of the continuity of f(x) on [1, 5]. When x approaches 4, f(x) approaches the same value as f(4) due to the continuity of f(x) on the interval.

(A) f(1) < f(5): This statement is not guaranteed to be true. The continuity of f(x) on [1, 5] does not provide information about the relationship between f(1) and f(5). It is possible for f(1) to be greater than or equal to f(5).

(B) lim f(x) exists as x approaches 3: This statement is not guaranteed to be true. The continuity of f(x) on [1, 5] only ensures that f(x) is continuous on this interval. It does not guarantee the existence of a limit at x = 3.

(C) f(x) is differentiable at all x-values between 1 and 5: This statement is not guaranteed to be true. The continuity of f(x) does not imply differentiability. There could be points within the interval [1, 5] where f(x) is not differentiable.

(D) lim f(x) = f(4) as x approaches 4: This statement must be true. This is a consequence of the continuity of f(x) on [1, 5]. When x approaches 4, f(x) approaches the same value as f(4) due to the continuity of f(x) on the interval.

In conclusion, the only statement that must be true is (D): lim f(x) = f(4) as x approaches 4. The other statements (A), (B), and (C) are not guaranteed to be true based solely on the continuity of f(x) on [1, 5].

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