Write an equation in point-slope form for the line that passes through each point with the given slope (-1,-2) m= 3

Answer: 23 cupcakes

Step-by-step explanation:

Answer:

23 were taken

Step-by-step explanation:

30-7=23

Answer:

B

Step-by-step explanation:

WHEN WE add

the values of b

and the values in the shape

it equals to 360

All of the interior angels in a quadrilateral add to 360

Quantitative research is defined as research that quantifies observations and makes population predictions based on samples.

a research method that entails measuring variables with a numerical system, analysing these measurements with any of a number of statistical models, and reporting relationships and associations between the variables studied.
There are four main types of Quantitative research: Descriptive, Correlational, Causal-Comparative/Quasi-Experimental, and Experimental Research. attempts to establish cause- effect relationships among the variables. These designs are very similar to true experiments, but there are some significant differences.
The overarching goal of quantitative research is to investigate a specific topic or activity using quantitative methods.

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(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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Answer:

1500.110 - 0.157x - 5.853x² ;

1124.262

Step-by-step explanation:

Given the data:

Price __ Sales

3 ____1447

5 ___ 1353

7 ____ 1212

9 ____1025

11 ____790

13 ____509

Usibg the quadratic regression calculator :

1500.110 - 0.157x - 5.853x²

If ticket price = $8 each

Ticket sales will be :

y = 1500.110 - 0.157(8)- 5.853(8^2)

= 1124.262

Flight attendants for one carrier must be between 63 and 73 inches tall. The absolute value equations from the list below can be used to express these minimum and maximum heights is |x+68|<5.

Given that,

Flight attendants for one carrier must be between 63 and 73 inches tall.

We have to find what absolute value equations from the list below can be used to express these minimum and maximum heights.

In algebra, an absolute value function is a function where the variable is inside the bars denoting absolute values. The absolute value function is also known as the modulus function, and its most popular representation is function of x = |x|, where x is a real number. The absolute value function is typically written as function of x = a |x - h| + k, where a denotes the vertical stretch of the graph, h denotes the horizontal shift, and k denotes the vertical shift from the graph of function of x = |x|.

Therefore, The absolute value equations from the list below can be used to express these minimum and maximum heights is |x+68|<5.

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If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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The accuracy of this approximation depends on the number of terms included in the series and the value of x. For x close to zero, a few terms may be sufficient to obtain a good approximation.

Without any specific equation or initial conditions given, it is not possible to plot the solutions or find Picard iterates. However, I can explain why Picard iteration method works for most initial approximations.

The Picard iteration method is an iterative numerical method used to approximate solutions to initial value problems of the form y' = f(x,y), y(x0) = y0. It involves constructing a sequence of functions yn(x) that converges to the solution y(x) as n approaches infinity. The nth iterate is given by:

yn+1(x) = y0 + ∫x0xf(t, yn(t)) dt

where y0 is the initial approximation, and the integral is taken over the interval [x0,x].

The reason why Picard iteration method usually converges for most initial approximations is due to the contraction mapping principle. If the function f(x,y) satisfies the Lipschitz condition with respect to y, i.e. there exists a constant L such that |f(x,y1) - f(x,y2)| ≤ L|y1 - y2| for all x, y1, y2, then the Picard iterates converge uniformly to the solution y(x).

The Lipschitz condition ensures that the mapping from yn to yn+1 is a contraction, which means that the distance between two consecutive iterates decreases with each iteration. This guarantees convergence of the sequence of iterates to the unique fixed point of the mapping, which is the solution to the initial value problem.

As for part (c), one can use the Taylor series expansion of cos(x) to approximate it for small values of x:

\(cos(x) ≈ 1 - x^2/2! + x^4/4! - x^6/6!\)

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Answer:

second option

Step-by-step explanation:

don't forget to multiply by the reciprocal; for example, 4/5 = \(\frac{4}{5}\) · \(\frac{10}{9}\) = \(\frac{8}{9}\)

                                                                                           9/10

factoring x² - 5x - 6 = (x - 3)(x - 2)

factoring 2x² - 7x + 3 = (2x - 1)(x - 3)

Answer:

b

Step-by-step explanation:

Given the second difference, the table is quadratic.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2. A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is 2x² + 10x + 25.

First differences:

21 - 11 = 10

35 - 21 = 14

53 - 35 = 18

75 - 53 = 22

Due to the fact that the first difference is not the same, the function is not a linear function.

Second difference:

14 - 10 = 4

18 - 14 = 4

22 - 18 = 4

Due to the fact that the second difference is fairly constant, the function is a quadratic function.

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True, A P-value of 0.07 is less than that significance requirement of 0.1, suggesting that there is sufficient evidence to conclude that people who have a significant other are happier than single people.

The hypothesis being examined was that those who have a significant other are happier on average than those who do not. To test this hypothesis, data from a sample size of persons were collected and evaluated to compute the P-value.

The P-value of 0.07 was determined to be less than the level of significance established at 0.1, implying that there is sufficient evidence to support the hypothesis that persons with a significant other are happier on average than solitary people.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Headphones that go over your ears can also damage your hearing if you use them too long or play music too loudly.

What is decibel explain with examples?

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The measure of the angles are as follows:

∠1 = 105°

∠2 = 75°

when a transversal line cut across parallel lines, angle relationships are formed. Examples are corresponding angles, alternate angles etc.

Therefore,

∠2 ≅ 75 degrees(corresponding angles)

Hence,

∠1  = 180 - ∠2 (angles on a straight line is 180 degrees)

∠1 = 180 - 75

∠1 = 105 degrees

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Answer:

Part A: 18s+20b<_150

Part B: 5 basketballs and 2 soccer balls

Step-by-step explanation:

Answer:

-5.62

Step-by-step explanation:

I made them all into Improper Fractions, then I made them into decimals, then I added them.

Answer:

5

Step-by-step explanation:

if x=2, then it would be 5/2 times 2. first, lets make 5/2 into a whole number, 2 1/2. that would be 2 1/2 x 2. lets do them indevidually. 1/2 x 2 is 1. and 2 x 2 is 4. now, if we add 4 and 1, that would give is a result of 5.

making the answer 5

Answer:

Yes, the zeros can be used as place holders. When using place holders, the value does not change.

The equation of the other line is y = x + 1.

Equation of a line in slope intercept form can be written as y = mx + c, where m is the slope and c is the y intercept.

Given a line,

y = -3x + 5

Another line has a slope of 1. Let the slope intercept form of the equation be,

y = 1x + c

Given that graphs of two equations intersect has y- coordinate 2.

Let the x coordinate of the intersecting point be x.

Then the point (x, 2) passes through both lines y = -3x + 5 and y = 1x + c.

When substituting (x, 2) in y = -3x + 5,

2 = -3x + 5

-3x = -3

x = 1

So the intersecting point is (1, 2).

Substituting (1, 2) in y = 1x + c,

2 = 1 + c

c = 1

So the equation of the other line is y = x + 1.

Hence y = x + 1 is the equation of the other line.

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The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Answer:

$285

Step-by-step explanation:

57 by 4 is 228 then add 57 to 228 which is 285

Divide price by quantity:

3.00 / 12 = $0.25 per can.

Answer:

151

Step-by-step explanation:

132.88 is 88% of the original price

132.88= p x .88=151

Answer:

153

Step-by-step explanation:

i = square root of -1

i = √-1

(3+12√-1) (3-12√-1)

√a times √b = √ab

a√b times c√d = (a times c) √ (b times d)

9 - (36√-1) + (36√-1) - (144(√-1)^2) =

9 - 0 - (144 * -1) =

9 - 0 - (-144) =

9 - (-144) =

9 + 144 =

153

*** funny thing is if you put

(3+12i) (3-12i)  

in a calculator

it works!

it gives you the answer 153

another way:

Expand the expression using

(a-b) (a+b) =

a²-b² :

3²-(12i)²

Simplify using exponent rule with same exponent

(a*b)^n =

a^n*b^n:

3²-12²* i²

Calculate the power:

9-144* i²

Rewrite by definition

i²=-1:

9–144×(−1)

Calculate the product or quotient: 9+144

Calculate the sum or difference: 153

Answer: 153

gathmath

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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The given points, only the point (4, -9, -8) lies on line 1.

To determine whether certain points lie on the line 1, which is perpendicular to the plane x - 2y - 4z = 5 and contains the point (2, -5, 0), we can check if the coordinates of those points satisfy the equation of the line.

The direction vector of the line 1 is perpendicular to the plane and can be determined from the coefficients of x, y, and z in the plane equation. In this case, the direction vector of the line is (1, -2, -4).

Now, we can write the parametric equation of the line l as:

x = 2 + t * 1

y = -5 + t * (-2)

z = 0 + t * (-4)

To check if a point (x₀, y₀, z₀) lies on the line 1, we need to find a value of t that satisfies the parametric equations.

Let's consider the following points and determine if they lie on line 1:

Point (3, -6, -4)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (3, -6, -4) into the parametric equations:

x₀ = 2 + t * 1 --> 3 = 2 + t --> t = 1

y₀ = -5 + t * (-2) --> -6 = -5 - 2 --> t = -1

z₀ = 0 + t * (-4) --> -4 = 0 - 4t --> t = 1

The value of t is not consistent across all equations, so the point (3, -6, -4) does not lie on line 1.

Point (2, -5, 0)

This point is given as the point that line 1 contains. Therefore, it lies on line 1.

Point (4, -9, -8)

To check if this point lies on line 1, we substitute the coordinates (x₀, y₀, z₀) = (4, -9, -8) into the parametric equations:

x₀ = 2 + t * 1 --> 4 = 2 + t --> t = 2

y₀ = -5 + t * (-2) --> -9 = -5 - 2t --> t = 2

z₀ = 0 + t * (-4) --> -8 = 0 - 8t --> t = 1

The value of t is consistent across all equations, so the point (4, -9, -8) lies on line 1.

Therefore, among the given points, only the point (4, -9, -8) lies on line 1.

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The complete question is:

Let l be the line perpendicular to the plane x - 2y - 4z = 5 and containing the point (2, -5, 0). determine whether the following points lie on line l.

Answer:

in 25 weeks the stalk grew to 4 inches - false

the stalk grew to a height of 25 inches in 4 weeks - true

each bag can hold 25 cornstalks - cannot be determined

the stalk grew at a rate of 6.25 inches each week - true (25/4 = 6.25)

the quotient 25/4 equals the growth rate of the stalks each week - true

Answer:

the answer is 1/5

Step-by-step explanation: