if 25,000 crystals cost 1.5 million then how much is 1 crystal

The equation for the graph of y = x translated 3 units downward is y = x - 3. The equation for the graph of y = x translated 3 units upward is y = x + 3. The equation for the graph of y = x vertically stretched by a factor of 3 is y = 3x. The equation for the graph of y = x vertically compressed by a factor of 3 is y = (1/3)x.

Translating the graph of y = x downward by 3 units means shifting all points on the graph downward by 3 units. This can be achieved by subtracting 3 from the y-coordinate of each point. So, the equation for the translated graph is y = x - 3.

Translating the graph of y = x upward by 3 units means shifting all points on the graph upward by 3 units. This can be achieved by adding 3 to the y-coordinate of each point. So, the equation for the translated graph is y = x + 3.

Vertically stretching the graph of y = x by a factor of 3 means multiplying the y-coordinate of each point by 3. This causes the graph to become steeper, as the y-values are increased. So, the equation for the vertically stretched graph is y = 3x.

Vertically compressing the graph of y = x by a factor of 3 means multiplying the y-coordinate of each point by (1/3). This causes the graph to become less steep, as the y-values are decreased. So, the equation for the vertically compressed graph is y = (1/3)x.

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Answer:

Step-by-step explanation:

Use y=mx+b so do y1-y2 over x2-x1 to get the slope then do y=m(slope)x+b and whatever number you get from doing slope(x-x1) you substitute your x1 with the number and subtract or add to get y=slope + whatever number you have left after you did the inverse on both sides

for example: y=-2x-3.

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Basically we need to find the distance between A and B, so:

The function graphed on the axes above should be expressed as a piecewise function as follows;

f(x) = -3x - 8    {x ≤ -2}

    = 6x - 17     {x > 3}

In order to determine the piecewise function, we would determine an equation that represent each of line shown on the graph. Therefore, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 2)/(-4 + 2)

Slope (m) = 6/-2

Slope (m) = -3.

At data point (-2, -2) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = -3(x + 2)  

y = -3x - 8

For the second line, we have:

Slope (m) = (7 - 1)/(4 - 3)

Slope (m) = 6/1

Slope (m) = 6.

At data point (3, 1) and a slope of 6, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = 6(x - 3)  

y = 6x - 17

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Answer:

187.5

Step-by-step explanation:

Answer:

$187.5

Step-by-step explanation:

Sale price:

Answer:

-120 feet

Step-by-step explanation:

Evi's is -15 feet, and Mateo's is 8 times that, so you multiply -15 by 8, and get -120 feet

Answer:

5

Step-by-step explanation:

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

= a + b - c + d

= 5 + 4 - 1 + (-3)

= 5 + 4 - 1 - 3

= 5 + 4 - 4

= 5

The probability that the last ball taken will be blue is 1.

This is because each time a ball is drawn, it is replaced by a blue one. Therefore, by the time the last ball is drawn, all of the balls in the bag will be blue.

To explain this further, let's look at the process step by step:

1. There are 8 blue and 2 red balls in the bag initially.
2. One ball is drawn and replaced by a blue one. Now there are 9 blue and 1 red ball in the bag.
3. Another ball is drawn and replaced by a blue one. Now there are 10 blue balls in the bag.
4. Since all of the balls in the bag are now blue, the probability of drawing a blue ball on the last draw is 1.

Therefore, the probability that the last ball taken will be blue is 1.

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Answer:

0%

Step-by-step explanation:

the dots don't surpass 75% so 0% is the answer

Answer:

Price = 15+8t

Step-by-step explanation:

Your new job is at the custom t shop, where t-shirts are printed to order.

For each order, custom t shop charges $8.00 per shirts plus a one time set up fee for $15.00.

Here, $15 remain fix and $8 increases with number of shirts.

Price = 15+8t

Hence, the price of the t-shirts is "15+8t".

Answer:

x= -3 / 8

Step-by-step explanation:

5x+7+3x-4=0

Sum 5x and 3x

8x+7-4=0

Subtract 7-4

8x+3=0

Move the constant to the other side and change his symbol with his opposite

8x=-3

8 is multiplying x, the opposite of multiplying is dividing, so it divide the -3 (under it)

x= -3 / 8

The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

the answer for this problem is 5xy(3x-2y)

Answer:

5xy(3x-2y)

Step-by-step explanation:

since xy are common terms they can be taken out

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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Answer:

Yes.

Step-by-step explanation:

Because

6*4 =24

and 4*0 = 0,

24+0=24

have a nice day!!!

The statistical value describes a regression line fits the data points:

R-squared

What is Statistical Value?

When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.

The statistical value describes a regression line fits the data points is

R-squared

The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.

R-squared = Explained variation / Total variation

R-squared is always between 0 and 100%

The better the model matches your data, in general, the greater the R-squared.

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Answer:

\(A=8\\\\B=7\)

Step-by-step explanation:

Simplify the radicand by splitting the number into two numbers, one of which is a perfect square (like 4, 9, 16, 25, 36, 49, 64, 81, 100*).

Factors of 448 that include a perfect square: 7 and 64**. Split:

\(\sqrt{448} \\\\\sqrt{64*7}\\\\\sqrt{64}*\sqrt{7}\\\\ 8\sqrt{7}\)

Therefore, A is 8 and B is 7.

:Done

Notes:

*Perfect squares:

\(\sqrt{4} =2\\\\\sqrt{9}=3\\\\\sqrt{16}=4\\\\\sqrt{25}=5\\\\\sqrt{36}=6\)         \(\sqrt{49}=7\\\\\sqrt{64}=8\\\\\sqrt{81}=9\\\\\sqrt{100} =10\)

Make sure to use the number in the radical symbol, not the simplified number.

**You can find factors with a perfect square by dividing the radicand by perfect squares. The bigger the number, the better. I started at 100:

448÷100=4.48

448÷81=5.530864197

448÷64=7

Stop when you find one that results in a whole number, like 7. The result and perfect square are the factors.

9514 1404 393

Answer:

  -4

Step-by-step explanation:

In a linear equation, the terms "unit rate", "rate of change", "constant of proportionality", and "slope" all refer to the coefficient of x (the independent variable).

Here, the coefficient of x is -4.

The slope is -4.

_____

Additional comment

Strictly speaking the "constant of proportionality" only refers to the x-coefficient (k) when the equation is of the form ...

  y = kx . . . . . with no added constant

"Slope", "unit rate", and so on, can also refer to the x-coefficient (m) when the equation has a non-zero y-intercept (b):

  y = mx + b

Answer:

It’s a right triangle

Step-by-step explanation:

15 squared plus 8 squared equals 17 squared which 289=289

Dale and his dog walk for 5 miles.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given:

Dale and his dog walked for 1.25 hours at a speed of 4 miles per hour.

Since,

Distance = Speed x time

Here, speed = 4 miles per hour and

time is 1.25 hours

So,

Distance = 4 x 1.25

Distance = 5 miles

Hence, Dale and his dog walk for 5 miles.

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Solution

- The solution steps are given below;

Question 1

Question 2:

Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.

So, we can write the following equations:

x = (3/4) * y

y = (4/5) * z

Where y is the value of car 2, and z is the value of car 3.

Adding all the values, we have:

x + y + z = 1115900

We can substitute the values of y and z in terms of x:

x + (3/4) * x + (4/5) * (3/4) * x = 1115900

Simplifying the expression on the left side, we get:

7/4 * x = 1115900

Finally, dividing both sides by 7/4, we get:

x = 359900

So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.

Step-by-step explanation:

Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Step-by-step explanation:

Let's call the value of car 1 "x".

From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.

So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.

From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.

So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.

The total value of all three cars is $1115900, so we can set up an equation to solve for x:

x + 4/3 * x + 3/4 * x = 1115900

Expanding and simplifying the right side:

x + 4/3 * x + 3/4 * x = 1115900

8/3 * x = 1115900

x = 1115900 * 3 / 8

x = 467125

So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Answer:

Step-by-step explanation:

\( \sf{2(6x - 1) = - 38}\)

Distribute 2 through the parentheses

⇒\( \sf{12x - 2 = - 38}\)

Move constant to right hand side and change it's sign

⇒\( \sf{12x = - 38 + 2}\)

Calculate

⇒\( \sf{12x = - 36}\)

Divide both sides of the equation by 12

⇒\( \sf{ \frac{12x}{12} = \frac{ - 36}{12} }\)

Calculate

⇒\( \sf{x = - 3}\)

Hope I helped!

Best regards!!

The competitive price of good x and the corresponding allocation of labor (l) is \((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2.

To find the competitive prices and allocation in this economy, we need to determine the equilibrium conditions. In a competitive market, prices are determined such that supply equals demand. In this case, the supply of good x is determined by the cost function of the firm, while the demand for good x is determined by the utility function of the representative agent.

Let's find the agent's demand for good x. The agent maximizes their utility subject to their budget constraint, which is given by the endowment of labor (l) and the prices of x and l. The agent's optimization problem can be solved using Lagrange multipliers, which yields the following demand function:

x = \((2/3)^{(3/2)}\) x \(l^{(1/2)}\)

We can find the supply of good x by minimizing the cost function of the firm. The cost minimization problem can be solved by equating the marginal product of labor to the wage rate (the price of labor). In this case, the marginal product of labor is equal to 2q, and the wage rate is 1. Solving for the quantity of x produced (q) gives us:

q = 1/2

We can determine the competitive prices. Since the demand for good x is given by the agent's utility function, we can equate the demand and supply functions to find the equilibrium prices:

\((2/3)^{(3/2)}\) x \(l^{(1/2)}\) = 1/2

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Answer:

C. 40

Step-by-step explanation:

the fraction 20/6 in a calculator makes 3.333 repeating and 40/12 does the same.

Answer:

a>12.5.

Step-by-step explanation:

you need to look at the discriminant in the quadratic formula:

\(b^{2} -4ac\)

coming from the quadratic polynomial

\(ax^{2} +bx+c=0\)

In our case, b=10 and c=2, hence, the discriminant is

\(10^2-4*a*2 \\100-8a\)

We will obtain non-real values if the discriminant is less than zero.

Therefore, this condition is written as

\(100-8a<0\)

and we must solve for a. It yields

\(100<8a\\a>\frac{100}{8} \\a>12.5\)

Hence, the answer is a>12.5.

The values of a that will result in this equation having non-real solutions must e greater than 12.5

Given the quadratic equation  ax^2 + 10x + 2 = 0

For the equation to have non-real solutions, then b^2 - 4ac < 0

From the given equation;

a = a

b = 10

c = 2

Substitute the given parameters into the formula;

10^2 - 4a(2) < 0

100 - 8a < 0

-8a < -100

8a > 100

a > 12.5

Hence the values of a that will result in this equation having non-real solutions must e greater than 12.5

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