is this a domain or range?

please help :(

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Answer:

\(a||b\)

The reason is that lines a and b are parallel.

The requried, pair of lines that are parallel is 6y=9x+7 and 2y = 3x + 4.

A) The slope of the first line is 2, and the slope of the second line is -1/2. Since the slopes are negative reciprocals of each other, the lines are perpendicular.

B) The slope of the first line is 3/2, and the slope of the second line is 3/2. Since the slopes are equal, the lines are parallel.

C) By rearranging the equations to slope-intercept form, we find that the slopes of lines are 5/7 and -5/7. Since the slopes are unequal, the lines are not parallel.

D) These are not equations of lines that are parallel.

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Answer:

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

Parallel lines have equal slopes, perpendicular lines have negative reciprocal slopes.

Find the slopes of lines and compare.

y = 2x + 1,

4y = - 2x - 5  ⇒ y = (- 2/4)x - 5/4  ⇒ y = (-1/2)x - 5/4

These slopes are negative reciprocals, so lines are perpendicular.

6y = 9x + 7  ⇒ y = (9/6)x + 7/6  ⇒ y = (3/2)x + 7/6,

2y = 3x + 4  ⇒ y = (3/2)x + 2,

The slopes are equal, so lines are parallel.

5x - 7y = 12 ⇒ 7y = 5x - 12 ⇒ y = (5/7)x - 12/7,

10x + 14y = 9 ⇒ 14y = - 10x + 9 ⇒ y = (-10/14)x + 9 ⇒ y = (- 5/7)x + 9,

This is neither parallel nor perpendicular

x = 1,

y = - 5,

The lines are perpendicular

Standard deviation of the sampling distribution of the sample mean is 50.

We were asked to determine the mean of the sampling distribution of the sample mean. The mean score for a standardized exam is 400, the standard deviation is 50, and we have a random sample of 25 students. You take a sample of 25 students in total. You will obtain a sample average of X after averaging that sample. Take 70 student samples, then compute the mean.

The sampling distribution of the sample mean is the term used to describe how the mean varies from sample to sample. The question being posed here is, what is the mean of the sampling distribution of sample means?

Regardless of how the population distribution is shaped, the mean of sample averages is always the same as the mean of the population.

The sample mean is 400.

The spread of a data distribution is measured by standard deviation. The average distance between each data point and the mean is measured. Whether the data is being treated as a population unto itself or as a sample of a larger population will affect the standard deviation calculation formula.

So standard deviation of sample mean is also same as it is for random sample that is 50.

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Given logistic differential equation of population of meerkats, dP/dt = -0.002P^2 + 6P,Let us solve the differential prism equation for dP/dt to find the population of the meerkats when it is growing the fastest:At maximum, dP/dt = 0

Therefore, 0 = -0.002P^2 + 6PPutting 0 on one side,6P = 0.002P^2Divide both sides by P,6 = 0.002PTherefore, P = 3000 (population of meerkats when it is growing the fastest)Now, let us find the limit P(t) as t approaches infinity; that is, when the population stops growinglim P(t) = limit as t approaches infinity of the population P(t)Solving the logistic differential equation for P(t) by separation of variables,We get,∫(1/(K - P) dP) = ∫(-0.002 dt)Solving the integration,log(K - P) = -0.002t + C,where C is the constant of integration.At t = 0, P = P0

Then, C = log(K - P0)Therefore,log(K - P) = -0.002t + log(K - P0)log((K - P)/(K - P0)) = -0.002tTaking the antilog of both sides of the equation,(K - P)/(K - P0) = e^(-0.002t)Therefore, K - P = (K - P0) e^(-0.002t)Solving for P,We get,P = K - (K - P0) e^(-0.002t)As t approaches infinity, e^(-0.002t) approaches 0Hence, P approaches KTherefore, lim P(t) = K = 2000The value of the dt constant k for the logistic differential equation of the termite population dP/dt = KP - 0.0001P^2 with carrying capacity K = 2000 is given by dP/dt = KP - 0.0001P^2Given, K = 2000Also, dP/dt = KP - 0.0001P^2,So, dP/dt = K (1 - 0.0001(P/K)^2) = KP (1 - (P/20,000)^2)Therefore, the value of the constant k is 0.02 (option B).

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Answer:

x = 15.65 and y = 5√2

Step-by-step explanation:

To get x and y we will use the Pythagoras theorem as shown

hyp^2 = adj^2 + opp^2

x^2 = 14^2+7^2

x^2 = 196 + 49

x^2 = 245

x = √245

x = 15.65

Similarly for y;

y2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y = √2*25

y = 5√2

Hence x = 15.65 and y = 5√2

x=7√5 unit and y=5√2 unit is your answer

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The number of hours will they take to do the job is 2. Below is the solution:

2(1/8) + 3(1/12) = 1/x

1/4 + 1/4 = 1/x

1/2 = 1/x

x = 2

When you multiply bothsides of an inequality by a negative sign , the inequality sign changes

∠A= ∠R , and the triangle is congruent.

What are angles?

acc to our question-

Hence,∠A= ∠R , and the triangle is congruent.

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Answer:

b

Step-by-step explanation:

corresponding angles = 90 degrees

To conduct a hypothesis test to determine if there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode, we can follow these steps:

1. Define the null hypothesis (H0) and alternative hypothesis (Ha):
  - Null hypothesis (H0): The true percentage of those in the first group who suffer a second episode is the same as the true percentage of those in the second group who suffer a second episode.
  - Alternative hypothesis (Ha): The true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

2. Determine the significance level: The significance level is given as 0.1, which means we need to find evidence that is strong enough to reject the null hypothesis with a 10% chance of making a Type I error (incorrectly rejecting a true null hypothesis).

3. Calculate the test statistic: We need to compare the observed proportions in both groups to determine if they are significantly different. The test statistic used for this situation is the z-test for comparing proportions.

4. Calculate the test statistic value: The formula for the z-test for comparing proportions is:
  - Test statistic value = (p1 - p2) / √((p * (1 - p)) * ((1/n1) + (1/n2)))
  - where p1 and p2 are the observed proportions of second episode occurrences in the first and second groups respectively, n1 and n2 are the sizes of the first and second groups respectively, and p is the pooled proportion calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the number of second episode occurrences in the first and second groups respectively.

5. Determine the critical value(s): The critical value(s) depend on the significance level and the type of test (one-tailed or two-tailed). Since the alternative hypothesis is two-tailed, we will find the critical values for a two-tailed test with a 0.1 significance level.

6. Compare the test statistic value with the critical value(s): If the absolute value of the test statistic value is greater than the critical value(s), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

7. Draw a conclusion: Based on the results of the hypothesis test, we can draw a conclusion regarding whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

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The rule applied to each vertex of the triangle, considering the transformations, is given as follows:

(x,y) -> (-0.5y, -0.5x).

The coordinates of the original triangle have the following format:

(x,y).

The rule for the rotation 90º counter-clockwise about the origin is of:

(x,y) -> (-y,x).

For the dilation by a scale factor of 0.5 about the origin, the rule is of:

(x,y) -> (0.5x, 0.5y).

Hence the composite rule is of:

(x,y) -> (-0.5y, -0.5x).

The only coordinate known is the y-coordinate of B, which is of:

-4.

Then the x-coordinate of B' will be given as follows:

2.

Which means that the correct options are either the first or the third.

The vertex are missing, hence the answer was given in general terms.

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Answer:

The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2

Step-by-step explanation:

Let the number of mangoes bought by the grocery store be n. Also let the number of mango sold for $3 in one stack be x and the number of mango sold for $6 in the second stack be y.

Therefore:

x + y = z                                  (1)

Also, the mangoes was sold at break even price, that is the cost of the mango and the price it was sold for was the same. Therefore:

Cost of buying = Price it was sold for

The cost of the mango = 5z and the price it was sold for = 3x + 6y

3x + 6y = 5z                            (2)

Substituting z = x + y in equation 1

3x + 6y = 5(x + y)

3x + 6y = 5x + 5y

6y - 5y = 5x - 3x

y = 2x

x / y = 1/ 2 = 1 : 2

The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2

The area of the figure is 825 and its unit is units squared

The given figure is a trapezium. Area of trapezium(A) = 1/2(a+b)h

Considering the labelling on the image  attached:

The distance h spans from -15 to 18. Thus h = 18 - (-15) = 18+15 = 33 units

The distance a spans from -15 to 6. Thus a = 6 - (-15) = 6 +15 = 21 units

The distance b span from -15 to 18. Thus b = 24 - (-15) = 18+15 = 39 units

Note: each square of the graph is 3. You can also get the distance by counting number of squares and then multiply by 3.

Now, Area(A) = 1/2(21+39) x 33

                        = 1/2(50) x 33

                        = 25 x 33 = 825 squared units

Therefore, the area of the composite figure is 825 and the unit is units squared

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2) \(ABCD\) is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)

3) \(\overline{AC}\) bisects \(\angle BCD\) (diagonals of a rhombus bisect the angles from which they are drawn)

Central angles are angles with the vertex at the center of a circle.

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

The central angle is the angle between two radii of the circle, where the radii are the straight lines extending from the center of the circle to the circumference. Arc measures are the measure of the arc formed by a central angle. The arc measure is equal to the measure of the central angle that is formed. Arc lengths are the length of the arc formed by a central angle. The arc length is equal to the circumference of the circle, divided by the measure of the central angle.

For example, if a central angle of 104° is formed, the arc measure would be 104° and the arc length would be the circumference of the circle divided by 104°. The arc lengths for the following central angles can be determined in the same way: mDE, mFE, mDEF, mCFD, and mDFE.

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Answer:

bc= 6

Step-by-step explanation:

since the triangles are similar, the sides are in a ratio

xz/ac = 20/4 (5:1)

yx/ba = 15/3 (5:1)

yz/bc = 5:1 = 30/6

For the utility function U(x, y) = \(x^(4/1) * y^(4/3)\), the indifference curve equations for U = 1, U = 2, and U = 3 are derived. The shape of the indifference curves resembles rectangular hyperbolas.

For the utility function U(x, y) = \(x^(4/1) * y^(4/3)\), we derive the indifference curve equations for U = 1, U = 2, and U = 3. By setting the utility function equal to these values, we can solve for the corresponding relationships between x and y.

The resulting equations form rectangular hyperbolas, where the ratio of x to y remains constant along each curve. These curves are concave and exhibit diminishing marginal rates of substitution.

For the utility function U(x, y) = y - 2x, we derive the indifference curve equations for U = 1, U = 2, and U = 3. By setting the utility function equal to these values, we can solve for the relationships between x and y.

The resulting equations represent straight lines with a slope of 2, indicating a constant marginal rate of substitution between x and y. These indifference curves show a positive linear relationship between the two goods.

Both utility functions satisfy the assumptions of completeness, transitivity, and monotonicity. Completeness implies that the consumer can rank all bundles of goods, transitivity ensures consistent preferences, and monotonicity states that more of a good is preferred to less.

The derived indifference curves reflect these assumptions by providing a consistent ranking of bundles based on utility. The shapes of the indifference curves are well-defined, allowing for clear visual representations of the preferences of the consumer.

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Answer:

B: 25

Give me Brainliest lol-

Answer:

25

Step-by-step explanation:

d1 x d2 divide by 2

10 x 5 = 50/2 =25

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

Answer:

60.

Step-by-step explanation:

I can't see the question above this and what information it gives, but If I'm not mistaken, that shape is a rectangle, so regardless of whether there's a piece of the last side missing, the sides across from each other are congruent in size.

So if the top is 14, then the bottom is 14, and since the left side is 16, then the side missing a piece adds up to 16.

(14*2) + (16*2) =

28 + 32 = 60.

The quantity of salt in grams needed to complete the experiment is 180 grams.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Quantity of salt needed = (grams of baking soda x ratio of salt) / ratio of baking soda

(3 x 420) / 7 = 180 grams

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Answer:

3 Ducks

Step-by-step explanation:

Two ducks are in front of the last duck; the first duck has two

ducks behind; one duck is between the other two

Hence , there are 3 ducks

Hope it is correct

Answer: I think 7

Step-by-step explanation: Sorry if its wrong.

The correct representation of the inequality is -6x + 15 < 10 - 5x and an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

In mathematical concept, an inequality is a representation of an order linking two numbers or algebraic expressions together. These orders are called inequality signs such as greater than (>), less than (<), greater than or equal to(≥), or less than or equal to(≤). Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.

From the given information, we are given the inequality:

= -3(2x - 5) < 5(2 -x)

Open brackets, we get:

= -6x + 15 < 10 - 5x

Subtract 15 from both sides, we have:

= -6x + 15 - 15 < 10 - 5x - 15

= -6x < -5x - 5

Add 5 to both sides

= -6x + 5 < -5x - 5 + 5

= -6x + 5 < -5x

= -x < - 5

= x < 5

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Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(7, 3, 5)

Substitute the values in the above equation and you will get

d = √(7)^2 + (3)^2 + (5)^2

= √(49 + 9 + 25)

= √83

= 9.11

Answer:

The answer is 9.11

Answer:

3418.02 cm²

Step-by-step explanation:

Volume :

Volume (cone) - Volume (hemisphere)

1/3πr²h - 2/3πr³

1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³

64π/3 (√336 - 2 x 2/3)

64π (18.33 - 1.33)

64π × 17

201.06 x 17

3418.02 cm²

Answer:

the length of adjacent =√25²-24²=√49=7

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Answer:

  $18.97

Step-by-step explanation:

You want to know Ai Mi's bill if her $16 lunch had 6% tax added, and she tipped 14% on the amount with tax.

Adding tax multiplies the bill by (1 +6%) = 1.06.

Adding the tip on the amount with tax multiplies that amount by (1 +14%) = 1.14.

The total cost of Ai Mi's lunch is ...

  ($16(1.04))(1.14) ≈ $18.97

The total cost with tax and tip was $18.97.

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