Which is the equation in slope-intercept form for the line that passes through (−1, 5) and is parallel to 3x + 2y = 4? y=−32x+72 y=23x+72 y=−23x+72 y=32x−72

Which is the equation in slope-intercept form for the line that passes through (−2, 15) and is perpendicular to 2x + 3y = 4?


y=32x+18

y=32x−12

y=23x+18

y=−32x+18


Which best describes the relationship between the lines?


2x – y = −1


4x – 2y = 6


parallel


same line


neither


perpendicular

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is \(x\)

According to the question, Age of oldest child is \(=x+4\)

Eldest child age \(=x-2\)

Sum of the ages of children is \(26\)

\(x+4+x+x-2=26\)

\(3x+2=26\)

\(3x=24\)

\(x=8\)

Therefore age of youngest child is \(x-2=8-2=6\ years\)

The value of k is equal to one half in the given case.

Since g(x) = f(kx), the value of k can be found by comparing the input values of g(x) to the corresponding input values of f(x) when x is multiplied by k.

Let's compare the values of g(x) and f(x) for x = -2:

g(-2) = 4, which means f(k(-2)) = 4, or f(-2k) = 4

f(-2) = 4, which means -2k is one of the inputs for f(x) that gives an output of 4

Next, let's compare the values of g(x) and f(x) for x = 2:

g(2) = 4, which means f(k(2)) = 4, or f(2k) = 4

f(2) = 4, which means 2k is one of the inputs for f(x) that gives an output of 4

We now have two equations: -2k is an input for f(x) that gives an output of 4, and 2k is also an input for f(x) that gives an output of 4. Therefore, we can solve for k by setting the two equations equal to each other and solving for k:

-2k = 2k/2

Multiplying both sides by -1/2, we get:

k = 1/2

Therefore, the value of k is equal to one half.

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complete question:

Please help, 30 points!!!! The graph of f(x) and table for g(x)= f(kx) are given. A coordinate plane with a quadratic function labeled f of x that passes through the points negative 2 comma 4 and negative 1 comma one and vertex 0 comma 0 and 1 comma 1 and 2 comma 4 x g(x) −4 4 −2 1 0 0 2 1 4 4 What is the value of k?

k = 2

k = −2

k is equal to one half

k is equal to negative one half

Answer:

The correct choices would be A, C, D & F. Correct me if I'm wrong :)

Answer:

Negative infinity.

Step-by-step explanation:

It behaves as it behaves the leading term. The leading term you can simply extract for being \(-x^3\) which goes to negative infinity.

Rigorously, you do all the multiplication, then collect \(x^3\) and in what's left you end up with -1 and a number of terms that go to zero.

Fast and loose, positive infinity, means "very big". Let's say 100. Now cubed, that's -1M. Now, even if you are adding a bunch of positive numbers - and some of these aren't - no way you can catch up that -1M lead your cubic term gives the polynomial

In this scenario, we have two random variables, X and Y. The conditional probability density function g(y|X = x) for Y given X equals x is given by y^2x, and the probability density function f(x) for X is given by 24x^2. This means that the probability of X taking on a specific value x is proportional to 24x^2.

The conditional probability density function g(y|X = x) represents the probability of Y taking on a specific value y, given that X equals x. In this case, the conditional density function is y^2x. This means that for a fixed value of X, the probability of Y being y is proportional to y^2x.

The probability density function f(x) represents the probability distribution of the random variable X. In this case, the probability density function is given by 24x^2. This means that the probability of X taking on a specific value x is proportional to 24x^2.

To fully analyze the given probability functions, further information is needed. For example, it would be helpful to know the range of possible values for X and Y. Additionally, normalization constants may be required to ensure that the probability densities integrate to 1 over their respective ranges.

Without these additional details, it is challenging to provide a more comprehensive analysis of the given probability functions. However, based on the information provided, we can understand the functional form of the probability densities and their relationships to X and Y.

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Answer:

D and C should be correct.

Step-by-step explanation:

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

ANSWER

• Weight: 5 kg

• Cost: $30

EXPLANATION

Let x be the weight of the package and y be the cost. For the first courier, we have that the cost is,

And for the second courier,

Justine determined that the two have the same cost, so we have to solve the system above. Using the elimination method, subtract the first equation from the second,

Add 10 to both sides of the equation,

And divide both sides by 2,

Hence, the weight of the package is 5 kilograms.

To find the cost, replace x with 5 in any of the two equations,

The cost is $30.

Answer: wavelength or frequency

Step-by-step explanation:

The reflectance curve is a plot of the light reflected off a surface as a function of wavelength or frequency. It shows how much light is reflected at each specific wavelength or frequency and can be used to analyze the optical properties of a material.

Yes, we can fully describe the density curve for a normal distribution in terms of just the mean (μ) and standard deviation (σ).

The normal distribution is a symmetric, bell-shaped curve that is completely determined by its mean and standard deviation.

The mean (μ) determines the center or peak of the curve, and the standard deviation (σ) determines the spread or width of the curve. Specifically, the normal distribution has the following properties:

The mean, median, and mode of the distribution are all equal and located at the center of the curve.

The total area under the curve is equal to 1, which means that the curve represents the probability density function for all possible values of the random variable.

The curve is symmetric around the mean, with half of the area under the curve to the left of the mean and half to the right.

The standard deviation controls the width of the curve, with larger standard deviations resulting in wider, flatter curves and smaller standard deviations resulting in narrower, taller curves.

The mean and standard deviation of a normal distribution, we can easily calculate the probabilities associated with specific values or ranges of values using the properties of the curve.

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The number of people in a household with 2.5 pounds of waste are = 11

and we calculate this on the basis of question below

Predict the number of people in a household with 2.5 pounds of waste pounds of waste 0.27,1.41,2.19,2.83,2.19,1.81,0.85,3.05. In Home 2 3 3 6 4 2 1 5

pound    0.27  ,1.41,  2.19  ,2.83  ,2.19  ,1.81  ,0.85,  3.05  

people      2          3      3       6        4        2        1       5

so now the question is complete

in pound section we have to take care which value are greater than 2.5

so 2.83 and 3.05 is greater than 2.5 so here  number of people who's home have greater than 2.5 pound of waste are 6+6=11

and rest people who's home has less than 2.5 pound waste are 2+3+3+4+2+1=15

so final ans is 11.

so this question was in complete and this ans is valid for this Question only.

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Answer:

c = 21 + k

Step-by-step explanation:

Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.

Let the constant = k

The relationship is written as:

c = p×h + k

P = cost of parking

h = Number of hours parked

c = $7 × 3 + k

c = 21 + k

Answer:

c=7/3p

Step-by-step explanation:

i did the other persons answer and got it wrong, so i kept doing the hints on khan and it said that

The inequality that represents the number of streamers x and balloons y the student council can buy is given as follows:

3.50x + 0.75y ≤ 100.

Each streamer costs $3.50, hence the total cost of purchasing x streamers is given as follows:

3.5x.

Each balloon costs $0.75, hence the total cost of purchasing y balloons is given as follows:

0.75y.

Then the total cost of purchasing x streamers and y balloons is given as follows:

3.50x + 0.75y.

The amount spent can be of at most $100, hence the inequality is given as follows:

3.50x + 0.75y ≤ 100.

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The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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Answer:

Step-by-step explanation:

This description applies to both X and Z.

The new coordinates after a reduced scale factor of 0.77 with the origin will be equal to (−10, 10), (20, 40), (30, 30). Hence, option B is correct.

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

As per the data given in the question,

We will combine the x and y dimensions even by scale factors to shrink the picture by a multiplier of 0.77 with both the origins as that of the center of dilatation because the figure's vertices are (-13, 13), (26, 52), and (39, 39).

So, the first point is (-13, 13)

-13 × 0.77 = -10 and,

13 × 0.77 = 10

So, the new point is (-10, 10).

The second point is (26, 52).

26 × 0.77 = 20

52 × 0.77 = 40

So, the new point is (20, 40)

The third point is (39, 39)

39 × 0.77 = 30

39 × 0.77 = 30

So, the new point is (30, 30).

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If Mohammad leaves home walks 5 blocks to the library and he then walks 2 blocks toward home to meet up with his friend and then together, he and his friend walk to the library together, then Mohammad walked for 9 blocks.

To calculate how far Mohammad walked we use addition.

Total blocks Mohammad walked = blocks to the library + blocks towards home to meet up with friend + blocks back to the library together

blocks to the library = 5

blocks towards the home to meet up with friend = 2

blocks back to the library together = 2 (As he walked 2 blocks towards home from the library, he will walk the same number of blocks again to reach the library)

Therefore,

total blocks Mohammad walked = 5 + 2 + 2

total blocks Mohammad walked = 9

Hence, the number of blocks Mohammad walked for is calculated to be 9.

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Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

The actual area of the closet's floor is 3.52 square meters.

To find the actual area of the closet's floor, we first need to convert the dimensions from the scale drawing to their actual dimensions.

According to the given scale, 2 cm on the scale drawing represents 1 meter in reality. Thus, to convert the dimensions from the scale drawing to actual dimensions, we need to multiply each dimension by the conversion factor:

Actual length = 4.4 cm × (1 m / 2 cm) = 2.2 m

Actual width = 3.2 cm × (1 m / 2 cm) = 1.6 m

Now that we have the actual dimensions, we can calculate the actual area of the closet's floor:

Actual area = Actual length × Actual width

= 2.2 m × 1.6 m

= 3.52 square meters

Therefore, the actual area of the closet's floor is 3.52 square meters.

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Answer:

accurately reflect relevant characteristics of the real-world object or decision

Step-by-step explanation:

a. are mathematical models. b. replicate all aspects of the real-world object or decision. c. replicate the characteristics of a component in isolation from the rest of the system.

accurately reflect relevant characteristics of the real-world object or decision

A model is an abstraction of reality. not all good models are mathematical. there are good models in economics that are accurate and do not use maths. e.g. law of demand

It is impossible for a model to replicate all aspects of the real-world object or decision. It will only be able to reflect relevant characteristics of the real-world object or decision. All other factors would be held constant

Answer:

x = 4\(\sqrt{3}\) , y = 8\(\sqrt{3}\)

Step-by-step explanation:

The ratio of the sides of a 30- 60- 90 triangle are

x : x\(\sqrt{3}\) : 2x

From the diagram

x\(\sqrt{3}\) = 12 ( divide both sides by \(\sqrt{3}\) )

x = \(\frac{12}{\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) ( rationalising the denominator )

  = \(\frac{12\sqrt{3} }{3}\)

x = 4\(\sqrt{3}\)

Then

y = 2x = 2 × 4\(\sqrt{3}\) = 8\(\sqrt{3}\)

The approximate values of x and y are 4√3 and 8√3, respectively.

Given is a right triangle with base = x and the hypotenuse = y and the perpendicular side is 12, the acute angle between the base and the perpendicular side is 60°.

We need to find the value of x and y,

So, to find the value of x and y, we will use the concept of trigonometric ratios,

So, we know,

Sin = perpendicular / hypotenuse

Cos = base / hypotenuse

Tan = perpendicular / base

Let's denote the acute angle between the base and the perpendicular side as θ.

Angle θ = 60°

Using the sine ratio, we can write:

Sin(60°) = 12 / y

√3/2 = 12 / y

Cross-multiplying, we get:

√3 × y = 2 × 12

√3 × y = 24

y = 24 / √3

y = 8√3

To find the value of x, we can use the cosine ratio.

Cos(60°) = x / y

1/2 = x / 8√3

Cross-multiplying, we get:

2x = 8√3

x = 4√3

Hence, the value of x and y are:

x = 4√3

y = 8√3

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Answer:

90 tens

Step-by-step explanation:

900 = 10x

Variable x refers to how many 10's are needed to equal 900

To solve for this, divide both sides of the equation by 10

900 ÷ 10 = 10x ÷ 10

90 = 1x

90 = x

It will take 90 tens to equal 900

(a) The 95% confidence interval estimate for the population proportion of adults who complained about dirty or ill-equipped bathrooms is approximately 0.350 ± 0.029, or (0.321, 0.379).

(b) The 95% confidence interval estimate for the population proportion of adults who complained about loud or distracting diners at other tables is approximately 0.302 ± 0.027, or (0.275, 0.329).

(c) The manager of a chain of restaurants could use the results of parts (a) and (b) to make informed decisions about how to improve the customer experience.

The formula for the 95% confidence interval estimate of a population proportion is:

(sample proportion) ± (critical value) x (standard error)

The critical value is based on the desired level of confidence (95% in this case) and the sample size, and can be found using a standard normal distribution table or calculator. For a sample size of 1,470, the critical value is approximately 1.96.

The standard error is a measure of the variability of sample proportions and is calculated as the square root of [(sample proportion) x (1 - sample proportion)] / sample size. Plugging in the sample proportion of complaints about dirty or ill-equipped bathrooms (1,470/3,986) and the sample size of 3,986, we get a standard error of approximately 0.015.

Substituting these values into the formula, we get:

1,470/3,986 ± 1.96 x 0.015 = (0.321, 0.379).

This means that we can be 95% confident that the true proportion of adults who complained about dirty or ill-equipped bathrooms falls within this range.

Similarly, to construct a 95% confidence interval estimate of the population proportion of adults who complained about loud or distracting diners at other tables, we can use the same formula with the sample proportion of complaints about loud or distracting diners (1,202/3,986), the same critical value of 1.96, and a standard error of approximately 0.014. Substituting these values into the formula, we get:

1,202/3,986 ± 1.96 x 0.014 =  (0.275, 0.329).

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If x2, xy, p, y2 are in proportion, Therefore, the value of p is equal to the product of x2 and y2 divided by xy.

The given values, x2, xy, p and y2 are in proportion, which means that they are related to each other in a fixed ratio.

To find the value of p, we will first need to use the proportion formula:

x2 : xy = p : y2. We can then rearrange the formula to solve for p.

Rearranging the formula gives us:

p = (x2 * y2) / xy.

Therefore, the value of p is equal to the product of x2 and y2 divided by xy.

The proportion is used to find out the number of one category from the total, such as the proportion of men from the total population living in a city.

Proportion is a part that describes the comparative relationship with the whole part

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Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation: