Which expressions represent the distances from the point (x,y) to the focus and the directrix?

|y−7|
|y+7|
√(x + 2)^2 + (y − 5)^2
√(x − 3)^2 + (y + 2)^2
√(x + 2)^2 + (y − 3)^2
|x−7|

Answer:

0

Step-by-step explanation:

Answer:

0p

Step-by-step explanation:

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

Answer:

A

B

E

Step-by-step explanation:

If you find what 11 squared is: 121

All number greater than or equal to 121 will be solutions.

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

10,000

Step-by-step explanation:

Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.

Does that help?

Answer:

Because the 8 parts are equal, there is an equal chance of landing on each part. The chance of landing on any part is 1/8. This means that it would be impossible to predict with certainty which section will be landed on, because there is an equal chance of each.

Does that help?

Step-by-step explanation:

Therefore, in response to the given query, we can state that The two expressions expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The two phrases are interchangeable, yes.

To better understand why, let's use the distributive principle of multiplication over addition to expand the second expression as follows:

4(X+3) = 4X + 4(3) = 4X + 12

The two expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

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Answer:

Each student can read 2 pages per minute

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)

Answer:

\(y=8x\)

Step-by-step explanation:

We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:

\(y = mx\)

where \(m\) is the ratio of x to y.

This ratio is also known as the line's slope. We can solve for the slope using the equation:

slope = rise / run

slope = \(\Delta\)y / \(\Delta\)x

slope = 8 / 1

slope = 8

\(m=8\)

So, the equation of the line is:

\(y=mx\)

\(\boxed{y=8x}\)

Answer:

y intercept is (3,0) and slope is -5/4

Step-by-step explanation:

Look at the equation and know y=mx+b formula

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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Answer:

y = 15x + 80

15x is the members each month...

80 is the  starting value (80 members start out)

The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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There are 216 possible outcomes for each trial of rolling three standard dice.

In probability theory, an outcome is defined as the result of a single experiment or trial. The total number of outcomes in a trial can be determined by the multiplication principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m x n ways to do both.

In this case, Michelle is rolling three standard dice simultaneously, which means that there are six possible outcomes for each die. Therefore, the total number of outcomes for a single trial is calculated by multiplying the number of outcomes for each die. Using the multiplication principle, we get:

Number of outcomes for each die = 6

Total number of outcomes for a single trial = 6 x 6 x 6 = 216

It is important to note that not all outcomes are equally likely, and the probability of getting a specific outcome can be calculated by dividing the number of favorable outcomes by the total number of outcomes.

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The 90% confidence interval is (6.20, 8.32).

To construct a 90% confidence interval estimate for the population mean amount spent for lunch at a fast-food restaurant, we can use the t-distribution since the sample size is small (n < 30) and the population standard deviation is unknown.

Given the sample of nine customers' lunch amounts: 4.15, 5.17, 5.76, 6.17, 7.12, 7.79, 8.43, 8.74, 9.63.

First, we need to calculate the sample mean and sample standard deviation:

Sample mean (X) = (4.15 + 5.17 + 5.76 + 6.17 + 7.12 + 7.79 + 8.43 + 8.74 + 9.63) / 9 = 7.26

Sample standard deviation (s) = √[(Σ\((xi - X)^2\)) / (n - 1)] = √[(∑(\(xi^2\)) - (n * \(X^2\))) / (n - 1)] = √[(104.9234 - (9 * \(7.26^2\))) / (9 - 1)] ≈ 1.686

Next, we need to determine the critical value for a 90% confidence level with 8 degrees of freedom. Looking up the t-distribution table or using a calculator, the critical value is approximately 1.860.

The margin of error (E) can be calculated using the formula: E = (t * s) / √n, where t is the critical value, s is the sample standard deviation, and n is the sample size.

E = (1.860 * 1.686) / √9 ≈ 1.056

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the sample mean:

Confidence interval = (X - E, X + E)

= (7.26 - 1.056, 7.26 + 1.056)

≈ (6.20, 8.32)

Therefore, the 90% confidence interval estimate for the population mean amount spent for lunch at a fast-food restaurant is approximately $6.20 to $8.32.

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Answer:

it will be c C) d 140 cm there you go

Answer:

-1.5 if its wrong then ur teacher is 1 IQ

Answer:

-1.5

Step-by-step explanation:

Hope it helps and mark brainliest!

The objective function that has the same slope (parallel) as the given function $4x + 2y = 20 is

option d. $2x + $4y = $20.

To determine which objective function has the same slope as $4x + 2y = 20, we need to rearrange the given equation into slope-intercept form, y = mx + b, where m represents the slope. In this case, we have:

$4x + $2y = $20

$2y = -$4x + $20

y = -2x + 10.

By comparing this equation with the slope-intercept form, we can see that the slope is -2. Therefore, we need to find the objective function with the same slope. Among the options, option d, $2x + $4y = $20, has a slope of -2 since its coefficient of x is 2 and its coefficient of y is 4 (2/4 simplifies to -1/2, which is the same as -2/1). Thus, option d is the correct answer.

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Answer: I believe the correct answer is C.

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.

Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.

Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).

Next, we simplify the equation to 16.9 - x = 2 * space.

To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.

To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.

In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

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The equation C(t) = 412 + 9t describes the relationship between the drug concentration in a patient's bloodstream and the time since injection. The constant term 412 represents the initial concentration, while the coefficient 9 determines the rate of increase in concentration over time.

The concentration of a drug in a patient's bloodstream, denoted as C(t), is represented by the equation C(t) = 412 + 9t. This equation relates the time since injection (t) to the drug concentration. The constant term 412 indicates the initial concentration of the drug at the time of injection, while the coefficient 9 represents the rate at which the drug concentration increases over time. By substituting different values of t into the equation, the corresponding drug concentrations can be calculated. The given equation C(t) = 412 + 9t represents a linear relationship between the drug concentration C and the time since injection t. The constant term 412 represents the initial concentration of the drug in the patient's bloodstream immediately after injection. This means that at t = 0 (right after injection), the drug concentration is 412, The coefficient 9, multiplied by t, determines the rate at which the drug concentration changes over time. It indicates that for each hour that passes after injection, the drug concentration increases by 9 units. This implies that the drug is being gradually absorbed and distributed within the patient's body. By substituting different values of t into the equation, you can calculate the corresponding drug concentrations at different time points. For example, if t = 1, then C(1) = 412 + 9(1) = 421, meaning that one hour after injection, the drug concentration is 421 units. Similarly, if t = 3, then C(3) = 412 + 9(3) = 439, indicating a drug concentration of 439 units three hours after injection. In summary, the equation C(t) = 412 + 9t describes the relationship between the drug concentration in a patient's bloodstream and the time since injection. The constant term 412 represents the initial concentration, while the coefficient 9 determines the rate of increase in concentration over time. By substituting different values of t into the equation, you can determine the drug concentration at specific time points.

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Answer:

All real numbers

Step-by-step explanation:

When you graph f(x) = x³,  you should be able to see that within the range of y-values, you get infinite outputs because the domain has infinite inputs.

Answer:

This doesnt make sense

Step-by-step explanation:

Answer:

1267.18

Step-by-step explanation:

8.03x106=851.18

4.0x104=416

851.18+416=1267.18

Answer:

m<N=68

Step-by-step explanation:

opposite angles of the parallelogram are equal(or congruent):

4x+36=6x-2

6x-4x=36+2

2x=38

x=38/2=19

the sum of the angles of the parallelogram =360

4x+36=4(19)+36=112 angle P

6x-2=6(19)-2=112 angle M

let Q= N=x

2x+112+112=360

2x=360-224

2x=136

x=136/2=68

The correct statements about given synthetic division are C, D, and F

"It is a polynomial with degree 2."

"It is defined as a way of dividing one polynomial by another polynomial of first degree."

For given question,

We have been given a quadratic polynomial \(F(x)=4x^{2} -17x-15\)

We can factorize above quadratic polynomial as,

\(F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)\)

This means the factors of \(4x^{2} -17x-15\) are (x - 5) (4x + 3)

And the roots of the polynomial would be,

\(\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}\)

This means, the roots of \(4x^{2} -17x-15\) are 5 and \(\frac{-3}{4}\)

Therefore, the correct statements about given synthetic division are C, D, and F

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To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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Step-by-step explanation:

7(2x+5)=11x-9-x

14x+35=10x-9

4x+35=-9

4x=-44

x=-11

The area under the standard normal curve between z=-2.95 and z=2.61 is approximately 0.9942.

What is curve?

A curve is a geometrical object that is made up of points that are continuous and connected to form a line or a path. It can be defined mathematically by an equation or parametrically by a set of equations that describe the x and y coordinates of points on the curve as a function of a parameter such as time or distance along the curve.

Using a standard normal distribution table, we can find the area under the curve between z=-2.95 and z=2.61 as follows:

Area = Phi(2.61) - Phi(-2.95)

Where Phi(z) represents the cumulative distribution function of the standard normal distribution.

From the standard normal distribution table, we find:

Phi(2.61) = 0.9959

Phi(-2.95) = 0.0017

Therefore, the area under the curve between z=-2.95 and z=2.61 is:

Area = 0.9959 - 0.0017 = 0.9942

Rounding to four decimal places, we get:

Area ≈ 0.9942

Therefore, the area under the standard normal curve between z=-2.95 and z=2.61 is approximately 0.9942.

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