The numbers for two colors form a ratio that is equal to 7/12. What are the colors

Mandy's home computer system is expected to be worth $1,576.11.

Mandy's home computer system is expected to depreciate at a rate of 10% per year. After 1 year, the value of the computer system will be 90% of its original value.

After 2 years, it will be worth 90% of that value, or 0.9 × 0.9 = 0.81 times the original value. Continuing in this way, we can write the value of the computer system after n years as \(0.9^n\) times its original value. Thus, after 9 years, the computer system will be worth \(0.9^n\) times its original value:

Value after 9 years = 4995 × \(0.9^n\)

Using a calculator, we find that the value is approximately $1,576.11 when rounded to the nearest hundredth. Therefore, after 9 years, Mandy's home computer system is expected to be worth $1,576.11.

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The 95% confidence interval for the population mean is approximately $4358.46 to $4441.54. Increasing the sample size is the best alternative to reduce the width of the confidence interval.

a) To make a 95% confidence interval for the population mean, we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, let's calculate the standard error, which is the standard deviation of the sample divided by the square root of the sample size:

Standard error = $900 / √(1800)

≈ $21.21

For a sample size of 1800, the critical value can be found using a t-distribution or approximated using a normal distribution. Since the sample size is large (n > 30), we can use the normal distribution approximation. The critical value for a 95% confidence level is approximately 1.96.

Now, we can calculate the confidence interval:

Confidence interval = $4400 ± (1.96 * $21.21)

Confidence interval ≈ $4400 ± $41.54

b) If the confidence interval obtained in part a is too wide and we want to reduce its width, there are several alternatives to consider:

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Answer:

Slope (m) = 2
y = 2x

Step-by-step explanation:

Change in y / Change in x
-1 becomes 1 (positive)

1 + 1 = 2
1 - 5 = 4
4/2 = 2

y = 2x

Using Euler's method with h=0.1, the numerical solution for y(0.2) of the differential equation y' = x^2 y^2 with initial condition y(0) = 1 is option (d) 1.001.

To solve the given initial value problem numerically, we can use the Euler's method. Here, we have the differential equation

y' = x^2 y^2

Using the forward difference approximation, we get

y(i+1) = y(i) + h × f(x(i), y(i))

where f(x, y) = x^2 y^2 and h = 0.1

Let's apply this formula to find y(0.1), y(0.2), y(0.3), and so on, until we get to y(0.2).

First, we have y(0) = 1. Using the formula above, we get

y(0.1) = y(0) + h × f(0, 1)

= 1 + 0.1 × (0^2 × 1^2)

= 1

Next, we have

y(0.2) = y(0.1) + h × f(0.1, 1)

= 1 + 0.1 × (0.1^2 × 1^2)

= 1.001

Therefore, the correct answer is (d) 1.001.

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The given question is incomplete, the complete question is:

Solve the problem y'=x^2y^2, y(0)= 1 numerically for y(0.2) using h = 0.1

Select the correct answer:

a.) 1.0

b.) 1.002

c.) 1.01

d.) 1.001

e.) 1.02

All monuments cast a shadow when the sun is shining, as they block the sunlight and create a shadow on the ground or nearby surfaces. T

The size and shape of the shadow will depend on the position of the sun in the sky, the orientation of the monument, and its size and shape.

Some famous monuments that cast impressive shadows include the Pyramids of Giza, the Eiffel Tower, the Washington Monument, and the Stonehenge.

We can use proportions to solve the problem.

Let x be the length of Kyle's shadow.

We know that the length of the monument's shadow is 16 feet, and its height is  \(64 f\) Feet. So the ratio of the length of the monument's shadow to its height is:

\(16/64 = 1/4\)

This ratio is equal to the ratio of Kyle's shadow length to his height:

\(x/6.25 = 1/4\)

To solve for x, we can cross-multiply:

\(x = 6.25/4 = 1.5625\)

Therefore, the length of Kyle's shadow is approximately \(1.56\) feet (or  \(18.72 inches)\) .

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Answer:

d

Step-by-step explanation:

u just have to plug in the numbers

f(-3)= -3^2

f(-3)= 9

g(4)=2(4)-3

g(4)=5

9+5=14

I hope I'm right and hope I helped:)

Answer:

The answer is C

Step-by-step explanation:

You are multiplying 10 by a number that is less than 1 to the x power which will cause the number to decrease

Given:

To simplify:

Solving we get,

Hence, the answer is,

Answer: No

Step-by-step explanation: because in order to find out if a triangle is a right triangle you use the Pythagorean Theron which is A squared+ B squared= C squared and since 8 times 8 is 64 and 12 times 12 is 144 if you add then it is 208 which is not equal to 225 to it isn’t a right triangle

Answer: No

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

8²+12²=15²

64+144=225

208 ≠ 225

Answer:

43

Step-by-step explanation:

That is the answer

Answer: Yes

Step-by-step explanation:

Add all of their best times.

11.9 + 12.6 + 12.52 + 11.95 = 48.97

48.97 < 49.6

Answer:

=−16x+8 for -2(8x-4)

Step-by-step explanation:

What is the solution to -2(8x-4)= -8x

What is the solution to 2x+5= 7x

so that means -2(8x-4) is less than 2x+5.

Answer: x > 1/6

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute:

-16x + 8 < 2x + 5

Subtract 2x from both sides:

-18x + 8 < 5

Subtract 8 from both sides:

-18x < -3

Divide both sides by -18:

x > 3/18 BUT this simplifies to:

x > 1/6

The reason the inequality flipped is because you divided both sides by a negative number.

The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.

Hope this helps!

Answer:

x=3.00 or x= 8.00

Explanation:

Let us denote side of the cut-out square as x inches

Then base of box = 16-2x by 6-2x

The volume = V = (16-2x)(6-2x)

= 96-3x-12x+4x

dV/dx = 96-44x+4x^2

= 0 for a max V

divide by 4

X^2 -11x +24=0

Using quadratic formula to solve the equation

X= (11± √11^2-(4×1×24)/2

(11± √25)/2

x= 3 or 8inches

From the equation of volume = V = x(16-2x)(6-2x)

Substitute

let x = 3 , V = 3(16-6)(6-6) = 0

let x = 8 , V = 8(16-16)(6-16) = 0

Therefore, the maximum volume exist at both point x=3 or x= 8

Answer:

to find the mean we add the numbers and divide by the number of numbers

in this case the mean is 30

Answer:

24

Step-by-step explanation:

54 - 6 = 48

48 numbers between 54 and 6.

48 ÷ 2 = 24

Answer:

∠POM and ∠POR

Step-by-step explanation:

Step-by-step explanation:

angle POM and angle QRT

Answer:

Yes, you will be able to play in the playoffs.

Step-by-step explanation:

37 ÷ 42 = 0.88095238095238 = 88.095238095238%.

~88%>85%

Answer: 22.5 and -19.5

Step-by-step explanation:

Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

Below

Step-by-step explanation:

Slope = rise / run = -1500 / 4200 = - 5/14      

Answer:

Slope = rise / run = -1500 / 4200 = - 5/14      

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

There are a total of 84 ways to form 3 teams from 9 players, assuming each team must have at least one player.

To determine the number of ways to form 3 teams from 9 players, considering that each team must have at least one player, we can use a combination formula.

First, we select one player for each team, which leaves us with 6 remaining players to distribute among the teams. We can distribute these players in various ways:

Team A: 1 player (chosen)

Team B: 1 player (chosen)

Team C: 1 player (chosen)

Remaining players: 6

We can distribute the remaining players in the following combinations:

6-0-0: All 6 players are assigned to Team A.

5-1-0: 5 players are assigned to Team A, 1 player to Team B.

5-0-1: 5 players are assigned to Team A, 1 player to Team C.

4-2-0: 4 players are assigned to Team A, 2 players to Team B.

4-1-1: 4 players are assigned to Team A, 1 player to each of Teams B and C.

3-3-0: 3 players are assigned to each of Teams A and B.

3-2-1: 3 players are assigned to Team A, 2 players to Team B, 1 player to Team C.

Using the combination formula, we calculate the number of ways to distribute the remaining players across the teams.

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Answer:

x= 4 or -4

Step-by-step explanation:

take the root of both sides then solve

hope this helped♥

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Answer: 476m²

Step-by-step explanation:

Find the area of the triangle and then subtract it from the area of the rectangle.

Area of triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 24m²

Area of rectangle:

= Length * Width

= 25 * 20

= 500m²

Area not covered by garden:

= 500 - 24

= 476m²

Answer: C) Large objects clumped together due to gravity to form larger objects.

Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.

Answer:

Large objects clumped together due to gravity to form larger objects.

Explanation:

All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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According to the question, a region is bounded by semicircular arcs on the side of the squares. Therefore, the side of the square is the diameter of the circle.

And the side of the square is \(\frac{2}{\pi }\).

Now, the radius of the semicircle is \(\frac{1}{2} \frac{2}{\pi } =\frac{1}{\pi }\)

The length of the semicircular arc is equal to half the circumference of the corresponding circle.

Therefore, the length of the arc is \(\frac{1}{2} (2)(\pi)\frac{1}{\pi } =1\)

Now, the desired parameters of the region made by these arcs is \((4)(1)=4\)

What are semicircular arcs and circumference of the circle?

Semicircular arcs is another name for the semicircle. It divides the circle into two parts. And the endpoints on a circle defines the minor arc or major arc. Similarly, circumference is the perimeter of the circle.

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