Draw a line representing the 'rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answer:

a. 3

b. 9

Step-by-step explanation:

6 / 2 = 3

It takes each person 3 hours.  

a. 3

b.  3*3 = 9

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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A clockwise rotation 90° about the origin followed by a translation

2 units to the right and 6 units down produces Δ X'Y'Z' from Δ XYZ

There are four types of transformations: reflection, rotation, translation, and dilation.

Translation, rotation, reflection, and dilation are the four primary categories of transformation.

* Let's update the translation and rotation.

If the point (x, y) rotated.

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Answer:clockwise rotation 90

translation is 2 units

Step-by-step explanation:

Answer:

1 slope of f is 5

slop of g is 2

2. connor

initial value is 200

rate of change is -10

Pilar

initial value is 242

rate of change is -8

3.

y intercept of f is -3

y intercept of g is -1

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

.

An angle bisector is a line that divides an angle into two equal parts

From the figure attached, we will observe that Line RU bisects Angle TRP into two parts (TRU & PRU)

Hence, the corect answer is a. (RU)

To find the average value of a function from a graph, you can follow these steps:

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Answer: x = 10

Step-by-step explanation:

Answer: x=10

Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10

The simplified form of the expression \(x^{3/2}\)(√x - 1/√x) is (√x³) - (√x).

To simplify the given expression, let's break it down step by step. Starting with the term (√x - 1/√x), we can simplify it by finding a common denominator, which in this case is √x. Thus, we have (√x * √x - 1) / √x, which simplifies to (x - 1) / √x.

Next, we have x³/² multiplied by (x - 1) / √x. To simplify the exponent, we can rewrite \(x^{3/2}\) as (\(x^{3/2}\))), which represents the square root of x cubed. Multiplying this by (x - 1) / √x gives us [(\(x^{3/2}\))) * (x - 1)] / √x.

To further simplify, we can distribute the exponent of (3/2) to both terms inside the brackets, resulting in [(\(x^{3/2}\) + 1/2)) * (x - 1)] / √x. Simplifying the exponent gives us [(\(x^{4/2}\)) * (x - 1)] / √x, which simplifies further to (\(x^{2}\) * (x - 1)) / √x.

Finally, we can rewrite \(x^{2}\) as √(\(x^{4}\)) to combine the square root terms. This gives us (√(\(x^{4}\)) * (x - 1)) / √x, which simplifies to (√\(x^{4}\) * (x - 1)) / √x. As √\(x^{4}\) is equal to \(x^{2}\), the expression simplifies to (\(x^{2}\) * (x - 1)) / √x.

In summary, the simplified form of \(x^{3/2}\)(√x - 1/√x) is (√x³) - (√x), which represents the square root of x cubed minus the square root of x.

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Answer:

1)6x

2)4

3)6x+4=2(3x+2)

Step-by-step explanation:

The length of short side x is 4.5 units, the length of short side x+5 is 9.5 units and the length of longest side is 10.5 units.

By Pythagorean theorem,

\(( Hypotenuse)^{2} = (Base)^{2}+ (Perpendicular)^{2}\)

Let                base = x+5

     perpendicular = x

        Hypotenuse = x+6

                                    \((x+6)^{2} = x^{2} +(x+5)^{2}\)

                           \(x^{2} +12x+36 = x^{2} +x^{2}+10x+25\)\(2x^{2} +10x+25-x^{2} -12x-36=0\)

                             \(x^{2} -2x-11=0\)

                                               \(x = \frac{-(-2) + \sqrt{4 - 4(1)(-11)} }{2*1}\) or \(\frac{-(-2) - \sqrt{4 - 4(1)(-11)} }{2*1}\)

                                               \(x=\frac{2 + \sqrt{4 +44} }{2}\) or  \(\frac{2 - \sqrt{4 +44} }{2}\)

                                               \(x = \frac{2 + \sqrt{48} }{2}\) or \(\frac{2 - \sqrt{48} }{2}\)

                                               \(x = \frac{2+2\sqrt{12} }{2}\) or \(\frac{2-2\sqrt{12} }{2}\)

                                               \(x = 1+\sqrt{12}\) or \(1-\sqrt{12}\)

                                               \(x = 1+3.5\) or \(1-3.5\)

                                               \(x = 4.5\) or \(-2.5\)

As, length can't be negative, we will take x = 4.5

Therefore, x = 4.5

            x + 5 = 4.5 + 5

                      = 9.5

             x + 6 = 4.5 + 6

                       = 10.5

Hence, the length of short side x is 4.5 units, the length of short side x+5 is 9.5 units and the length of longest side is 10.5 units.

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Answer:

539 is your answer

Step-by-step explanation:3235 divided by 6 equals

539 with a remainder of 1

Answer:

THIS IS WRONG DON'T PAY ATTENTION TO IT! I wrote the wrong numbers down! I'm so sorry!

Step-by-step explanation:

(Deleted what was here, totally wrong, so sorry)

Answer:

0.5

Step-by-step explanation:

The length of the ribbon to the nearest tenth is 50.3 inches.

To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.

The formula for the circumference of a circle is given by the following:

C = 2πr

Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.

Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.

Hence, we have: r = 8 inches

C = 2πr

C = 2π(8)C = 16π

The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)

Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.

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The ratio of boys to girls of the junior members of a tennis club is  1 : 3.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Three-quarters of the junior members of a tennis club are boys.

Assuming the total no. of boys and girls is 1.

∴ 3/4 members are boys and (1 - 3/4) = 1/4 are girls.

So, the ratio of boys to girls is 1/4 : 3/4 which is equal to 1 : 3.

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Answer:

The price would be 7.20

Step-by-step explanation:

Step-by-step explanation:

x and (2x + 9) are supplementary angles.

that means together they have 180°.

why ? because the sum of all angles around a single point on one side of a line is always 180°. because that simulates a half-circle with the center at this point.

and a half-circle has 180°.

so,

x + 2x + 9 = 180

3x = 171

x = 57

Answer:

19422

Step-by-step explanation:

20000-578 to solve the problem

The difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

The correct answer is (d): In the z-test using rejection region(s), the test statistic is compared with critical values. The z-test using a P-value compares the P-value with the level of significance alpha.

The z-test is a statistical test used to assess whether a sample mean or proportion significantly differs from a hypothesized population mean or proportion. The difference between the z-test for mu (population mean) using rejection region(s) and the z-test for p (population proportion) using a P-value lies in the approach used to make the inference.

In the z-test using rejection region(s), the test statistic (calculated from the sample) is compared with critical values based on the chosen level of significance alpha. The critical values are determined from the standard normal distribution or a z-table, and if the test statistic falls within the rejection region (beyond the critical values), the null hypothesis is rejected.

On the other hand, in the z-test for p using a P-value, the test statistic is compared with the P-value. The P-value represents the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming the null hypothesis is true. If the P-value is smaller than the chosen level of significance alpha, the null hypothesis is rejected.

Therefore, the difference lies in the comparison made: critical values in the z-test using rejection region(s) and the P-value in the z-test using a P-value. The choice between the two approaches depends on the nature of the population and the specific hypothesis being tested.

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The answer to the question is - The Sign test which can be used in place of the paired or dependent samples t test when a nonparametric test is needed.

The sign test is a statistical test for identifying the median distinction between two dependent or paired samples. When the data is ordinal, and non-parametric tests are used to analyse them, this is known as a non-parametric test. The Wilcoxon signed-rank test and the paired t-test are examples of this. Sign test is a non-parametric test, which requires a small sample size. This test is useful for making decisions about medians when comparing two samples, and when the differences are not normally distributed. The sign test can be used in place of the paired or dependent samples t-test when a non-parametric test is required. The Sign test is a method of evaluating the median difference between two dependent or paired samples. As a non-parametric test, this test is useful when the differences between samples are not normally distributed.

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The number of weeks are 0 1 2 4 7 12

The balances are 24 32 40 56 80 120

The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as

Slope = (y2 - y1)/(x2 - x1)

y1 and y2 would be consecutive values of the balance

x1 and x2 would be consecutive values of the number of weeks

When x1 = 0, y1 = 24

When x2 = 1, y1 = 32

Slope = (32 - 24)/(1 - 0)

Slope = 8

The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week

the answer is 1 7/12 or 19/12 depending on whether or not you want it to be a mixed number

The probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement. This can be obtained by finding probability of each draw.

⇒ 52 cards - 13 cards (1 suite) = 39 cards (remaining 3 suites)

On the second draw, we have a (39/52)  = (3/4)  probability of drawing a different suite from the first draw

⇒ 52 cards - 26 cards (2 suite) = 26 cards (remaining 2 suites)

On the third draw we have a (26/52) = (1/2) probability of drawing a suite different from the first two draws

⇒ 52 cards - 39 cards (3 suite) = 13 cards (remaining 1 suites)

On the last draw we  have a (13/52) = (1/4) probability of drawing a different suite from the ones we  drew on the first three draws

So  the probability = (1) (3/4) (1/2) (1/4) = 3/32

Hence the probability that I will end up with one card from each suit is 3/32 when I choose four cards from a standard-card deck, with replacement.

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Step-by-step explanation:

The volume of the cylinder with height 8units and radius 4 units is 128πunits^3

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where:

r is the radius

h is the height

Given the following

h = 8units

r = 4 units

Substitute

V = πr²h

V = π(4)²(8)
V = 128πunits^3

Hence the volume of the cylinder with height 8units and radius 4 units is 128πunits^3

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no value of x for f(x) ≤ g(x)

What do you mean by function?

Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).

The types of functions can be roughly classified into four types. Based on item:

One-to-one functions, many-to-one functions, on functions, one-to-one, and within functions.

Given functions:

f(x)=-2(x+3)^2+5

g(x)=x+7

According to the graph given for the functions there is no value of x for which f(x) ≤ g(x) .

Therefore, no value of x for f(x) ≤ g(x)

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The solution to the system of equations is (x,y) = (1.25, -2.5) and the solution to the system of equations is (x,y) = (0, -5/3).

Let's try these strategies on the given system of equations:

2x+3y=−5

2x−3y=10

A. Subtract the following formula from the above formula:

(2x + 3y) - (2x - 3y) = (-5) - 10

6 years = -15

y = -2.5

Substituting y = -2.5 into one of the equations gives:

2x + 3(-2.5) = -5

2x - 7.5 = -5

2x = 2.5

x = 1.25

So the solution to the system of equations is (x,y) = (1.25, -2.5).

This strategy eliminates the x variable, but not the y variable. B. Add equations.

(2x + 3y) + (2x - 3y) = (-5) + 10

4x = 5

x = 1.25

Substituting x = 1.25 into one of the equations gives:

2(1.25) + 3 years = -5

3 years = -7.5

y = -2.5

So the solution of the system of equations is (x,y) = (1.25, -2.5).

This strategy removes the variable y but not the variable x.

C. Multiply the above formula by 2, then sum these formulas. 2(2x + 3y) + (2x - 3y) = 2(-5) + 10

4x = 0

x = 0

Substituting x = 0 into one of the equations gives:

2(0) + 3 years = -5

y = -5/3

So the solution to the system of equations is (x,y) = (0, -5/3).

This strategy eliminates the x variable, but not the y variable.

Therefore, there is no way to completely eliminate variables in the system of equations. 

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Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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