Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x

Number of container of paint is,

⇒ 6

Now, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An art teacher had 2/3 gallon of paint to pour into containers.

And, he poured 1/8 gallon of paint into each container until he ran out of paint.

Hence, Number of container of paint is,

⇒ 2/3 / 1/8

⇒ 2/3 × 8

⇒ 16/3

⇒ 5.33

Which is 5 and a third of a container which is counted in this so 6 is the answer

Thus, Number of container of paint is,

⇒ 6

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The derivative of f(g(x)) with respect to x is  f'(1/x).

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is  f'(1/x).

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Answer:

(1/2)(x)(x + 6) = 260

x² + 6x = 520

x² + 6x + 9 = 529

(x + 3)² = 529

x + 3 = 23

x = 20

The base of the triangle is 20 yards, and the height of the triangle is 26 yards.

There are 15 cards with numbers from 1 to 15 written on them. Event A is choosing a multiple of 5, which includes the numbers 5 and 10. Event B is choosing an even number, which includes the numbers 2, 4, 6, 8, 10, 12, and 14.

First, we need to determine the number of cards that correspond to each event:

Event A: Multiples of 5 in the range 1-15 are 5 and 10. So, there are 2 cards that correspond to event A.

Event B: Even numbers in the range 1-15 are 2, 4, 6, 8, 10, 12, and 14. So, there are 7 cards that correspond to event B.

To find the probability of choosing a multiple of 5 or an even number, we need to add the probabilities of the two events and subtract the probability of their intersection:

P(A or B) = P(A) + P(B) - P(A and B)

The probability of event A is 2/15, the probability of event B is 7/15. To find the probability of their intersection, we need to determine how many cards satisfy both events. The only card that satisfies both events is 10. Therefore, P(A and B) = 1/15.

Plugging these values into the formula, we get:

P(A or B) = 2/15 + 7/15 - 1/15 = 8/15

Therefore, the probability of choosing a multiple of 5 or an even number is 8/15.

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Answer:

240 mL.

Step-by-step explanation:

The following data were obtained from the question:

Ratio of Flour = 5

Ratio of brown sugar = 3

Ratio of chocolate = 4

Total volume = 720 mL

Next, we shall determine the total ratio. This can be obtained as follow:

Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate

Total ratio = 5 + 3 + 4

Total ratio = 12

Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Ratio of chocolate = 4

Total ratio = 12

Total volume = 720 mL

Volume of chocolate chips =..?

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Volume of chocolate chip = 4/12 x 720

Volume of chocolate chip = 240 mL

Therefore, the volume of the chocolate chips in the mixture is 240 mL.

Zach will need 19 feet of string to make his lanyard.

Zach and Jessica have 114 feet of string to make lanyards.

According to the given information, for every one foot Zach uses, Jessica needs 5 feet.

Let's assume that Zach uses x feet of string. Since Jessica needs 5 feet for every 1 foot Zach uses, she will need 5x feet of string.

The total length of string used by both Zach and Jessica should equal the total length of string they have, which is 114 feet.

So, we can set up an equation to represent this:
x + 5x = 114

Simplifying the equation:
6x = 114
Divide both sides by 6:
x = 19

Therefore, Zach will need 19 feet of string to make his lanyard.

Zach will need 19 feet of string to make his lanyard.

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The pieces of candies that William gave away is 15.

The linear expression that can be used to determine the number of candies left is:

Pieces of candies left = initial pieces of candies - number of candies given out

Pieces of candies left when William gave out candies : 40 - x

Pieces of candies left when Hannah gave out candies : 70 - 3x

If they have the same pieces of candies left, the two above expressions would be equal.

40 - x = 70 - 3x

3x - x = 70 - 40

2x = 30

x = 15

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Answer:

5 to 3

Step-by-step explanation:

15/3=5

6/3=3

Answer:

5:2

Step-by-step explanation:

15:6 can both be divided by 3, 15/3 = 5, 6/3 = 2, making the ratio,

5:2 hope i helped you (and could i have brainliest it would help me!)

If the assumptions for normality and equality of variances are badly violated, nonparametric statistics should be used to test the hypothesis.

In hypothesis testing, it is important to consider the assumptions underlying the statistical tests.

Two common assumptions are normality and equality of variances.

Normality assumes that the data follow a normal distribution, while equality of variances assumes that the variability of the groups being compared is similar.

When these assumptions are badly violated, meaning the data deviate significantly from normality or the variances are highly unequal, parametric tests that rely on these assumptions may not be appropriate.

In such cases, nonparametric statistics provide an alternative approach.

Nonparametric tests do not require the assumption of a specific distribution or equal variances.

These tests are based on ranks or orderings of the data rather than the actual numerical values. They are more robust to violations of the assumptions and can be used to analyze data that are not normally distributed or have unequal variances.

Examples of nonparametric tests include the Mann-Whitney U test for comparing two independent groups, the Kruskal-Wallis test for comparing multiple independent groups, and the Wilcoxon signed-rank test for paired samples.

By using nonparametric tests in situations where the assumptions for normality and equality of variances are badly violated, researchers can still make valid statistical inferences without relying on these assumptions.

However, it is important to note that nonparametric tests may have less statistical power compared to their parametric counterparts when the assumptions are met.

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∂z/∂x = 4yz / (1 - 4xy)³ and ∂z/∂y = 4xz / (1 - 4xy)³.

Given: z = 4xyz

we need to find the partial derivatives ∂z/∂x and ∂z/∂y

using the equations ∂z/∂x = − (∂f/∂x)/(∂f/∂z) and ∂z/∂y = − (∂f/∂y)/(∂f/∂z).

Now, we need to calculate ∂f/∂x, ∂f/∂y and ∂f/∂z, which is the derivative of f(x, y, z) w.r.t. x, y and z.

Let us first find f(x, y, z):z = 4xyz => f(x, y, z) = z - 4xyz = z(1 - 4xy)

Now, we can find the partial derivatives as follows:∂f/∂x = -4yz / (1 - 4xy)²∂f/∂y = -4xz / (1 - 4xy)²∂f/∂z = 1 - 4xy

Putting these values in the equations for partial derivatives, we get:

∂z/∂x = -(∂f/∂x)/(∂f/∂z)

         = -(-4yz / (1 - 4xy)²) / (1 - 4xy) = 4yz / (1 - 4xy)³∂z/∂y

         = -(∂f/∂y)/(∂f/∂z) = -(-4xz / (1 - 4xy)²) / (1 - 4xy)

         = 4xz / (1 - 4xy)³

Hence, the required partial derivatives are:

∂z/∂x = 4yz / (1 - 4xy)³ and ∂z/∂y = 4xz / (1 - 4xy)³.

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the value of the given figures in the other units can be found to be:

A meter is 100 cm so:

= 0.006 x 100

= 0.6 cm

A kilometer is 1,000,000 mm so:

= 17,605 /  1,000,000

= 0.017605 km

A kilometer is 10,000 dm:

= 1,001,00 dm / 10,000

= 10.01 km

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The interval estimate that will estimate the true average time that people spend brushing their teeth is given by 42.3 ± 1.35

42.3 is the point estimate of the population mean, and 1.35 is the margin of error. The lower limit of the interval is given by subtracting the margin of error from the point estimate:

42.3 - 1.35 = 40.95

The upper limit of the interval is given by adding the margin of error to the point estimate:

42.3 + 1.35 = 43.65

Therefore, the 95% confidence interval estimate for the true average time that people spend brushing their teeth is (40.95, 43.65) seconds. This means that we are 95% confident that the true average time that people spend brushing their teeth falls within this interval.

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The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Slope indicates that for every unit change in the independent variable, x, the dependent variable will vary by the same amount, b. Slope indicates both direction and steepness. Positive slope causes the line to rise when it goes from left to right. When the slope is negative, the line descends when moving from left to right.

Here,

You may get the slope of the line by determining the rise and the run using two of the line's points. The rise and the run are terms used to describe changes in height between two places. Rise divided by Run gives you the slope. Run = rise + slope Rise + run = slope.

The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.

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Answer:

Bette needs 8 jumbo cans to frost 280 cupcakes

Step-by-step explanation:

1 jumbo can is equivalent to 35 cupcakes, as we can see it takes 5 jumbo cans to get 175 and 3 to 105 the gap of 105 and 175 is 70 and the gap of 3 and 5 is 2 which means we divide 70 to 2 which the answer is 35, now we know its 35 we need to divide 280 and 35 now which the answer is 8.

The addition of the new girl who can jump 19 feet will affect the statistics of the long jump distances for the girls on the varsity team as follows:

Mean: The mean distance jumped will increase. To see why, consider that the mean is calculated by adding up all the distances and dividing by the number of girls. Since the new girl can jump 19 feet, her distance is much greater than the other distances, and this will pull the mean up. Therefore, the mean will increase.

Median: The median distance jumped cannot be determined with the information given. To see why, note that the median is the middle value when the distances are arranged in order. Since we are not given the exact number of girls on the team or the order of their distances, we cannot determine whether the addition of the new girl will change the median distance jumped or not.

Standard deviation: The standard deviation of the distances jumped cannot be determined with the information given. To see why, note that the standard deviation is a measure of how spread out the distances are from the mean.

Adding a new girl who can jump 19 feet may or may not affect the spread of the distances, depending on the number of girls on the team and the variability of their distances. Therefore, we cannot determine whether the standard deviation will increase, decrease, or stay the same.

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The accumulated value at time 12 of a deposit of 1000 at time 3, using the accumulation factor a(t) = 1 + it and i = 0.05, is 1276.25. No, the answer is not the same as 1000a(12) or 1000a(9).

The accumulated value of a deposit using the accumulation factor a(t) is given by the formula A = P * a(t), where A is the accumulated value, P is the principal amount (initial deposit), and a(t) is the accumulation factor.

Principal amount P = 1000

Time t = 12 - 3 = 9 (the difference between the two times)

Using the accumulation factor a(t) = 1 + it and i = 0.05, we have:

a(t) = 1 + i * t

     = 1 + 0.05 * 9

     = 1 + 0.45

     = 1.45

The accumulated value A at time 12 is:

A = P * a(t)

 = 1000 * 1.45

 = 1450

Therefore, the accumulated value at time 12 of a deposit of 1000 at time 3, with an interest rate of 0.05, is 1450.

Now, let's compare it with 1000a(12) and 1000a(9):

1000a(12) = 1000 * a(12)

         = 1000 * (1 + 0.05 * 12)

         = 1000 * 1.6

         = 1600

1000a(9) = 1000 * a(9)

        = 1000 * (1 + 0.05 * 9)

        = 1000 * 1.45

        = 1450

The accumulated value at time 12 is 1450, which is not the same as 1000a(12) (1600) or 1000a(9) (1450).

The accumulated value at time 12 of a deposit of 1000 at time 3, using the accumulation factor a(t) = 1 + it and i = 0.05, is 1450. This value is not the same as 1000a(12) or 1000a(9).

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Refer to the photos taken.

Answer:

Your answer is 20

Step-by-step explanation:

as the formula 1/2*4*10=20.

hope it help you if yes then please make me the brainiest.

Thank you

parshv

range is the highest minus the lowest

Step-by-step explanation:

so a is 599- 132 = 467

for b median is the middle number 132 and 599

so u add them then divide by 2 so the answer of b is 365.5

Answer:

D

Step-by-step explanation:

A)

3(2) + 4(-2) = -2                    2(2)-4(-2) = -8

6 - 8 = -2                              4 + 8 = -8

Correct                                 Incorrect  

B)

3(6) + 4(-5) = -2                    2(6) - 4(-5) = -8  

18 - 20 = -2                            12 + 20 = -8

Correct                                 incorrect

C)

3(4) + 4(4) = -2

12 + 8 = -2

incorrect

D)

3(-2) + 4(1) =-2                        2(-2) - 4(1) = -8

-6 + 4 = -2                                 -4 - 4 = -8

Correct                                      Correct

Best way is process of elimination

Answer:

a)11cm

b)49.5cm²

Step-by-step explanation:

to find the perimeter you use the formula

o/360×2piR

since 2pi R=18pi cm,to find the radius you cancel pi from both sides 2r/2=18/2...so the radius is 9cm

therefore the perimeter will be:

70/360×2×22/7×9

27720/2520

=11cm

then to find the area you say

o/360×pi R²

70/360×22/7×9²

124740/2520

=49.5cm²

I hope this helps

To find the linear approximation of sin(9x) at x=0, we use the formula:

f(x) ≈ f(a) + f'(a) (x-a)

where a = 0, f(x) = sin(9x), and f'(x) = 9cos(9x). Thus, we have:

f(x) ≈ sin(0) + 9cos(0) (x-0)

≈ 0 + 9x

= 9x

So the linear approximation of sin(9x) at x=0 is 9x, where A = 0 and B = 9.

To approximate 1/0.202 using linear approximation, we first find a "nice" point near 0.202 at which to compute the tangent line. Let's choose a = 0.2, which is close to 0.202 and easy to work with. Then:

f(x) = 1/x, so f(a) = 1/0.2 = 5

f'(x) = -1/x^2, so f'(a) = -1/0.2^2 = -25

The equation of the tangent line to f(x) at x=a is:

y - f(a) = f'(a) (x - a)

y - 5 = -25 (x - 0.2)

y = -5x + 6

So the linear approximation of 1/x near x=0.202 is -5x + 6. To approximate 1/0.202, we plug in x = 0.202:

1/0.202 ≈ -5(0.202) + 6

= 4.09

Therefore, using linear approximation, we estimate that 1/0.202 is approximately 4.09.

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The one function that satisfies f '(x) = 3x² + 6x + 5 is f(x) = x³ + 3x²÷2 + 5x + C. where C is the constant of integration.

The given function's derivative is f'(x) = 3x² + 6x + 5.

To find the original function f(x), we need to integrate the derivative.

We can integrate the given function f'(x) term by term, using the power rule of integration:

∫f'(x) dx = ∫(3x² + 6x + 5) dx

f(x) = x^3 + 3x²÷2 + 5x + C

Any constant value of C can be added to the above function, resulting in an infinite number of functions that satisfy

f '(x) = 3x² + 6x + 5.

f(x) = x^3 + 3x²÷2 + 5x + 2 and f(x) = x³ + 3x²÷2 + 5x - 7 are both valid solutions to f '(x) = 3x² + 6x + 5, with different constant values of C.

This is because the constant of integration represents an arbitrary constant, and when we take the derivative, the constant term becomes zero. Hence, any function that differs from the original function by a constant value will also have the same derivative.

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Answer:

\(\frac{41}{28}\)  

I hope this helps!

The solution is: the value of b = 14cm, which makes the area of trapezoid 138 cm^2.

Here,

The terms "trapezoid" and "quadrilateral" both refer to quadrilaterals that have at least one set of parallel sides.  Euclidean geometry dictates that a trapezoid must be a convex quadrilateral. The base of the trapezoid is referred to by its parallel sides.

Greek words trapeza, which means "table," and -oeides, which means "shaped," combine to form the term trapezoid. A trapezoid has a table-like form. A parallel pair of its sides are sometimes referred to as the figure's bases.

we know that,

Area = ½ × h × (b₁+b₂)

here, we have,

from the given diagram, we get,

h = 12, and, b₁ = 9

so, we have,

138 = ½ × 12 × (9+b₂)

so, solving we get,

b₂ = 23 - 9

    = 14

Hence, The solution is: the value of b = 14cm, which makes the area of trapezoid 138 cm^2.

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The standard deviation of the sampling distribution of x bar (the mean of a sample) is always less than the standard deviation of the population from which it is sampled.

Central Limit Theorem states that as the sample size increases, the sampling distribution of x bar approaches a normal distribution with a mean equal to the population's mean and a standard deviation equal to the population's standard deviation divided by the square root of the sample size.

Standard deviation of the sampling distribution of x = σ / √N,

where:

σ  = standard deviation of the population

N = sample size

As a result, the standard deviation of the sampling distribution of x bar is also less variable than the standard deviation of the population.  

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Answer:

V = 216 cm³

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

given

area of base = 36 cm² and area is calculated as area = s² , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

Then

V = 6³ = 216 cm³

Answer:

x = 5/4 + √65/4 or x = 5/4 - √65/4

Step-by-step explanation:

I'm assuming you mean 2x^2-5x-5=0?

x = ( -b ± √b^2 - 4ac ) / 2a

x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)

x = ( 5 ± √(25 + 40) ) / 4

x = ( 5 ± √65 ) / 4

x = 5/4 ± √65/4

Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4

The total distance that the bird travels if it flies at 100 km per hour and the speed of the train is 60 km per hour would be equal to 400 kilometers.

What is the distance?

In Mathematics, distance can be defined as the amount of ground that is covered (traveled) by a physical object over a particular period of time and speed, irrespective of its direction, starting point, or ending point.

Based on the information provided, we can reasonably infer and logically deduce that this train would travel a distance of 60 kilometers in 60 minutes if it is moving at a speed of 60 kilometers per hour. Therefore, the train travels a distance of 240 kilometers from Delhi to Agra in 240 minutes.

Since the bird made the journeys continuously back and forth from Agra to the train and back to Agra for this same amount of time (240 minutes), the total distance it traveled shall be calculated as follows:

Total distance = 100 kilometers per hour × 240 minutes

Total distance = (100 × 240)/60

Total distance = 400 kilometers.

Hence, the total distance that the bird travels if it flies at 100 km per hour and the speed of the train is 60 km per hour would be equal to 400 kilometers.

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