Work out the missing values in the equation
47x116≈-----x-------

NEED ASAP

Answer: x + y = 9

x - y = 2

x = 5 + y

5 + y + y = 9

5 + 2y = 9

2y = 9 - 5

2y = 4

y = 2

----------

x = 9 - 2

x = 7

----------

Step-by-step explanation:

Given:

Equations are given in the roots.

In square root, if two terms are in the root means we cn write one term outside the root.

this is "Repeated measures ANOVA, which is a statistical test used to analyze data from experiments in which the same participants are measured multiple times under different conditions.

A repeated measures ANOVA is a statistical test used to analyze data from experiments in which the same participants are measured multiple times under different conditions. This design is sometimes referred to as a "within-subjects design" because each participant is measured within the same group.

Here are the steps for conducting a repeated measures ANOVA:

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The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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Answer:

Always

Step-by-step explanation:

a 'quadrilateral' is a 4-sided polygon and all 4-sides polygons have interior angles whose sum is 360 degrees

Domain of f(x) = (−∞, -4)∪(-4, ∞) when rational function is f(x)=x²+6x+8/x+4 which is function f of x.

Given that,

We have to find what are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity ÷ by the quantity x + 4 end quantity.

We know that,

If a rational function is defined as R(x)=p(x)/q(x), then the domain of the rational function is the intersection of domains of p(x) and q(x) except those values for which q(x)=0.

The given rational function is

f(x)=x²+6x+8/x+4

We need find the domain of the given function.

Here, both the numerator and the denominator are polynomial functions, and the range of a polynomial function is the entire real number range.

So, domain of the given function is all real number except those values of x for which x+4=0.

x+4=0

x=-4

Domain of f(x) = All real numbers except -4.

Domain of f(x) = (−∞, -4)∪(-4, ∞)

Therefore, Domain of f(x) = (−∞, -4)∪(-4, ∞) when rational function is f(x)=x²+6x+8/x+4.

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The linear regression model for the weekly cost data is given by C(z) = ma + k, where z is the independent variable representing the weekly demand.



The values of m and k are determined through the regression analysis. Using this model, we can estimate the total weekly cost for a given weekly demand and calculate the per unit variable cost and weekly fixed cost.To find the linear regression model, we need to perform a regression analysis on the given weekly cost data. This analysis will determine the values of m and k in the equation C(z) = ma + k, where C(z) represents the weekly cost and z represents the weekly demand.

Once the values of m and k are obtained, we can use the model to estimate the total weekly cost when the weekly demand is 210. By plugging in z = 210 into the equation C(z) = ma + k, we can calculate the total weekly cost rounded to the nearest dollar.The per unit variable cost can be determined by the value of m in the model. It represents the change in cost per unit change in demand. By rounding m to one decimal place, we can obtain the per unit variable cost rounded to one decimal place.

The weekly fixed cost can be determined by the value of k in the model. It represents the cost that does not depend on the weekly demand. By rounding k to the nearest integer, we can obtain the weekly fixed cost rounded to the nearest dollar.Overall, by applying the linear regression model to the given data, we can estimate the total weekly cost, calculate the per unit variable cost, and determine the weekly fixed cost of producing sleeping bags.

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Answer:

3,4

Step-by-step explanation:

use section formula,as it divides in 1 :1

7+x/2 =5 so x is 3

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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Answer:

a) Perfect square.

b) 9

Step-by-step explanation:

The given numbers are perfect squares.

64 = 8*8

49 = 7*7

36 = 6*6

25 = 5*5

16 = 4*4

So, the next number will be 3 *3 = 9

1) The difference between Einstein's IQ and the mean is 60.

2) Einstein's IQ is 3.75 standard deviations from the mean.

3) Einstein's IQ has a z-score of 3.75.

4) Einstein's z-score is 3.75, which is outside the range of -2 and 2, his IQ is considered unusual.

1) The difference between Einstein's IQ and the mean is calculated as follows:

Einstein's IQ (160) - mean IQ (100) = 60.

So, the difference between Einstein's IQ and the mean is 60.

2) To find how many standard deviations Einstein's IQ is from the mean, divide the difference (60) by the standard

deviation (16): 60 / 16 = 3.75.

Einstein's IQ is 3.75 standard deviations from the mean.

3) To convert Einstein's IQ score to a z-score, use the formula:

z = (x - μ) / σ.

In this case, x = 160 (Einstein's IQ),

μ = 100 (mean), and

σ = 16 (standard deviation).

Plug in the values: z = (160 - 100) / 16 = 60 / 16 = 3.75.

Einstein's IQ has a z-score of 3.75.

4) Usual IQ scores convert to z-scores between -2 and 2.

Since Einstein's z-score is 3.75, which is outside the range of -2 and 2, his IQ is considered unusual.

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Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the distance formula, we get

\(AB=\sqrt{(5-(-3))^2+(8-2)^2}\)

\(AB=\sqrt{(8)^2+(6)^2}\)

\(AB=\sqrt{64+36}\)

\(AB=\sqrt{100}\)

\(AB=10\)

Similarly,

\(BC=\sqrt{(11-5)^2+(0-8)^2}\)

\(BC=\sqrt{(6)^2+(8)^2}\)

\(BC=\sqrt{36+64}\)

\(BC=\sqrt{100}\)

\(BC=10\)

And,

\(AC=\sqrt{(11-(-3))^2+(0-2)^2}\)

\(AC=\sqrt{(14)^2+(-2)^2}\)

\(AC=\sqrt{196+4}\)

\(AC=\sqrt{200}\)

\(AC=10\sqrt{2}\)

Two sides of the triangle are equal, i.e., \(AB=BC\). So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

\(AB^2+BC^2=10^2+10^2\)

\(AB^2+BC^2=100+100\)

\(AB^2+BC^2=200\)

\(AB^2+BC^2=AC^2\)

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

If were most interested in describing the pattern of changes in the weather in a city from month to month, the type of graph that would be appropriate is the area graph.

An area graph or chart is similar to a line chart in that it has points connected by straight lines on a two-dimensional chart.

It should be noted that the area graph multiple variables are stacked on top of each other, and the area below each line is colored to represent each variable.

Therefore, the type of graph that would be appropriate is the area graph.

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Answer:

201.06

Step-by-step explanation:

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer: 32 copies of hardcover version.

Step-by-step explanation: Suppose the quantity of hardcover version copies sold is H and the paperback copies is P.

1) A store sells a total of 70 copies:

H + P = 70

2) One hardcover is sold for $15 and one paperback for $11.50. In one month was charged $917:

15H + 11.5P = 917

Solving the system of equations:

H + P = 70 (I)

15H + 11.5P = 917 (II)

Since it is asked for the hardcover version, find H.

Multiply equation (I) by -11.5:

-11.5H - 11.5P = - 805 (III)

Add (II) and (III):

-11.5H - 11.5P = - 805

  15H + 11.5P = 917

  3.5H            = 112

H = 32

In one month, it was sold 32 hardcover version of a book.

Answer:

second supporting point=?

Answer: The table represents a function. What is f(5)?  

–8  

–1  

1

8

Step-by-step explanation:

4 square units will be the area of the largest rectangle.

Given,

First, let's build a rectangle ABCD, where A is the point at the bottom right corner and B,C, and D are the points designated in accordance with A.

Now,

Let A = (p, 0)

B = (-p, 0)

C = (-p, 3 - p²)

D = (p, 3 - p²)

Then the area of rectangle is given as: BA×AD

= 2p × 3 - p²

A = 6p - 2p³

Taking the derivative with respect to p, we have

A' = 6 - 6p²

Now,

A' =0

⇒ 6 - 6p² = 0

⇒ 6p² = 6

⇒ p² = 1

Since, we have to find the greater area, therefore we will take p = 1.

Now, substituting the value of p in (A), we have

Greater area = A= 6 - 2 x 1 = 4 square units

Therefore,

The  area of the largest rectangle should be 4 square units.

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Question is incomplete. Completed question is given below;

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 − x2?

The requried solution of the given inequality is x > 5 and there is an open circle at 5  and a bold line starts at 5 and points to the right.

As mentioned in the question,

We have,

–3(2x – 5) < 5(2 – x)

Simplify the above inequality,

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

Since on the number line, there is an open circle at 5  and a bold line starts at 5 and points to the right.

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Answer: 5.96

Step-by-step explanation: the bottom two are too much and the first is by far too less

Given:

Required:

Recognition of the graph of the given equation

explanation:

By pitting x = 0

By putting x = 1

Hence the graph cuts the y-axis at -9 for x = 0 and y = -14 for x = 1. So our required graph is the first one.

Final Answer:

Option A

Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be 120the size of the original pyramid. The Great Pyramid is approximately 147 meters tall and each side of the base is approximately 230 meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.

Answer: 972 m^3 of sand

Step-by-step explanation:

Height of original pyramid = 147 meters

Each side of the base = 230 meters (that is both the base length and base width).

If replica pyramid is to be 1/20 the size of the original pyramid :

Size dimension of replica pyramid will therefore be,

Height = 1/20 × 147 = 7.35metres

Each Base = 1/20 × 230 = 11.5 metres

To calculate the amount of sand required, we can get these by Calculating the volume of the pyramid which us the amount of space occupied by an object.

The volume of a pyramid is given by:

(Base length × base width × height) ÷ 3

( 7.35 m × 11.5 m × 11.5 m) / 3

972.0375 m^3

That means the volume of the pyramid is 972.0375 m^3

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

The series ∑(n=1 to ∞) sin(\(n^6\)/n) is absolutely convergent and the series ∑(n=1 to ∞) \((-1)^{n}/n^2\) is conditionally convergent.

For the series ∑(n=1 to ∞) sin(\(n^6\)/n), we can determine its convergence properties using various tests.

First, let's consider the series ∑(n=1 to ∞) sin(\(n^6\)/n). Since sin(x) is a bounded function, we can apply the Comparison Test to determine whether the series converges absolutely, conditionally, or diverges.

Comparison Test states that if 0 ≤ |aₙ| ≤ bₙ for all n, and ∑(n=1 to ∞) bₙ converges, then ∑(n=1 to ∞) aₙ converges absolutely.

In this case, we have |sin(\(n^6\)/n)| ≤ 1 for all n. Therefore, we can compare the series to the series ∑(n=1 to ∞) 1, which is a geometric series with a common ratio of 1 and converges.

Since the series ∑(n=1 to ∞) 1 converges, and |sin(\(n^6\)/n)| ≤ 1 for all n, we can conclude that the given series ∑(n=1 to ∞) sin(\(n^6\)/n) converges absolutely.

Therefore, the series ∑(n=1 to ∞) sin(\(n^6\)/n) is absolutely convergent.

As for the series ∑(n=1 to ∞)\((-1)^{n}/n^2\), we can determine its convergence properties using the Alternating Series Test.

Alternating Series Test states that if the terms of a series alternate in sign, decrease in absolute value, and tend to zero, then the series converges.

In this case, the terms of the series alternate in sign \((-1)^n\), decrease in absolute value (1/\(n^2\)), and tend to zero as n approaches infinity.

Therefore, the series ∑(n=1 to ∞) \((-1)^{n}/n^2\) converges conditionally.

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Answer:

1781.55 i thing but try with this answer

Step-by-step explanation:

Answer:

2 packets of chocolates

Step-by-step explanation:

Find how many packets of chocolates they made by dividing 1/3 by 1/6:

1/3 / 1/6

= 1/3 x 6

= 2

So, the factory made 2 packets of chocolates

However, in our case, we found that the marginal pdf f₁ (x) is ∞, which means it does not exist. Therefore, X and Y are not independent.

a. To find the marginal pdf of f₁ (x) of x, we need to integrate the joint pdf f(x, y) with respect to y, while considering the limits of integration:

f₁ (x) = ∫[from y = 0 to y = ∞] f(x, y) dy

Given f(x, y) = 15xy², the integral becomes:

f₁ (x) = ∫[from y = 0 to y = ∞] 15xy² dy

Integrating with respect to y, we get:

f₁ (x) = 15x ∫[from y = 0 to y = ∞] y² dy

= 15x [(y³/3)] evaluated from y = 0 to y = ∞

= 15x [(∞³/3) - (0³/3)]

= 15x (∞ - 0)

= ∞

Since the integral evaluates to ∞, the marginal pdf f₁ (x) of x is not a proper probability density function.

b. To find the conditional pdf f₂ (y│x), we use the following formula:

f₂ (y│x) = f(x, y) / f₁ (x)

Given f(x, y) = 15xy² (from the joint pdf) and f₁ (x) = ∞ (from the previous result), the conditional pdf becomes:

f₂ (y│x) = (15xy²) / ∞

= 0

Therefore, the conditional pdf f₂ (y│x) is 0, indicating that the random variable Y does not have any distribution given X.

c. To find P(Y > 1/3 │ X = x) for any 1/3 < x, we need to integrate the joint pdf f(x, y) with the given condition:

P(Y > 1/3 │ X = x) = ∫[from y = 1/3 to y = ∞] f(x, y) dy / f₁ (x)

Given f(x, y) = 15xy² and f₁ (x) = ∞ (from the previous result), we have:

P(Y > 1/3 │ X = x) = ∫[from y = 1/3 to y = ∞] 15xy² dy / ∞

Since the numerator is a definite integral while the denominator is ∞, the probability becomes indeterminate.

d. X and Y are not independent. One way to justify this is by checking if the joint pdf factorizes into the product of the marginal pdfs:

If X and Y were independent, we would have:

f(x, y) = f₁ (x) * f₂ (y)

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