1 When the product of 4 and a number x is added to 12, the result is 16. What is the difference between x and 8?

The possible sequence orders are shown below:

1 3 2 5 4

1 5 2 3 4

2 3 1 5 4

2 5 1 3 4

3 5 1 4 2

3 5 2 4 1

permutation of a set is described as  an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

We  denote the box positions by 1 to 5, starting from left box to right box ;

with this notation , we can conclude following statements  :

Hence, the following are now possible sequence orders :  

1 3 2 5 4

1 5 2 3 4

2 3 1 5 4

2 5 1 3 4

3 5 1 4 2

3 5 2 4 1

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Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

Complete Question

Riya is applying to her garden. She applies it at a rate of 25, 000 cm³ of mulch for every m² of garden space. At what rate is Riya applying mulch in m³/m²

Answer:

0.25m³/m²

Step-by-step explanation:

We are told the Riya sprays mulch at 250,000cm³ per m²

To find the rate at which Riya is spaying the mulch in m³/m² we would have to convert 250,00cm³/m² to m³/m²

1 cm³ = 1 × 10^-6m³

250,000 cm³ = x m³

Cross Multiply

1 cm³ × xm³ = 250,000cm³ × 1 × 10^-6 m³

X

x m³ = 250,000cm³ × 1 × 10^-6 m³/1 cm³

= 0.25m³

Therefore, the rate at which Riya is spraying the mulch = 0.25m³/m²

Answer:

0.25

Step-by-step explanation:

Answer:

4<x<12

Step-by-step explanation:

8.0+4.0=12.0

8.0-4.0=4.0 or 4

The rules of triangles is that it must be less than the sum you had when you first added 8.0and 4.0 which was 12

So therefore , 4< x < 12

and I also got it right on khan academy lol

Answer:

the height is 6ft

Step-by-step explanation:

2 x 3 = 6ft

The maximum number of floors that this building can have is 6

The given parameters are:

Elevators = 4

Stops = 3

At least one elevator stops on 2 floors

The maximum number of floors is calculated as:

Maximum = Elevators * Stops/2

This gives

Maximum = 4 * 3/2

Evaluate

Maximum = 6

Hence, the maximum number of floors that this building can have is 6

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The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = \(\frac{1}{0}\) , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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The probability that at least 2 people believe that they have seen a ufo is 0.1937102445. The probability that exactly 1 person believes that he or she has seen a ufo is problem: P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890.

The probability that at least 2 people believe that they have seen a UFO would be 0.1937102445. For this we use the binomial distribution formula.

P(X ≥ 2) = 1 − P(X = 0) − P(X = 1)P(X = 0) = (9/10)¹⁰

P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890 (rounded to 10 decimal places)

P(X ≥ 2) = 1 − 0.3874204890 − 0.3486784401 = 0.1937102445 (rounded to 10 decimal places)

The probability that 2 or 3 people believe that they have seen a UFO would be 0.1937102445. Using the formula of binomial distribution again we can solve for the probability of this event.

P(2 ≤ X ≤ 3) = P(X = 2) + P(X = 3)P(X = 2) = 10C₂ (0.10)² (0.90)⁸= 0.1937102445 (rounded to 10 decimal places)

P(X = 3) = 10C₃ (0.10)³ (0.90)⁷= 0.0573956280 (rounded to 10 decimal places)

P(2 ≤ X ≤ 3) = 0.1937102445 + 0.0573956280 = 0.2511058725 (rounded to 10 decimal places)

The probability that exactly 1 person believes that he or she has seen a UFO would be 0.3874204890. Using the binomial distribution formula to solve this problem:

P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890 (rounded to 10 decimal places)

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The answer is 18.

i hope this will work

In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.

A percentile is a measure that indicates the relative position of a particular value within a dataset.

For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.

Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.

A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.

To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.

Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:

1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.

2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.

3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.

4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.

5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).

Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.

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To show that the sine-coefficients of \($f(x)$\)are all zero, we can use the symmetry property of the sine function. Since \($f(x)$\)is an even function, meaning \($f(x) = f(-x)$\), the sine coefficients will be zero because sine is an odd function.

To calculate the first three Fourier coefficients of \($f(x)$\), we need to calculate the cosine terms. The formula for the \($n$\)th cosine coefficient is given by:

\(\[a_n = \frac{2}{L} \int_{-\frac{L}{2}}^{\frac{L}{2}} f(x) \cdot \cos\left(\frac{n\pi x}{L}\right) \, dx\]\)

In this case, \($L = 2$\) and the integral will be evaluated from \($-1$\) to \($1$\), since the function is defined within that range.

For \($n = 0$\) :

\(\[a_0 = \frac{2}{2} \int_{1}^{-1} f(x) \, dx\]\)

For \($n = 1$\):

\(\[a_1 = \frac{2}{2} \int_{1}^{-1} f(x) \cdot \cos\left(\frac{\pi x}{2}\right) \, dx\]\)

For \($n = 2$\):

\(\[a_2 = \frac{2}{2} \int_{1}^{-1} f(x) \cdot \cos\left(\frac{2\pi x}{2}\right) \, dx\]\)

You can calculate these integrals to find the first three Fourier coefficients of \($f(x)$\).

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The smallest sample size that will result in a margin of error of no more than 5% for a 95% confidence interval is given as follows:

385.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is modeled as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

We have no estimate, hence we consider that:

\(\pi = 0.5\)

The minimum sample size is obtained as n when M = 0.05, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.05\sqrt{n} = 1.96 \times 0.5\)

\(\sqrt{n} = 1.96 \times 10\) (0.5/0.05 = 10).

\((\sqrt{n})^2 = (1.96 \times 10)^2\)

n = 384.16

Hence rounded to 385, as a sample size of 384 would have a margin of error slightly above 0.05.

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Answer:

K = infinite amount of solutions

Step-by-step explanation:

Step 1: Write out equation

4K - 32 = -32 + 4K

Step 2: Rearrange

4K - 32 = 4K - 32

Here we see that any value of x can be plugged in and would render the equation true. You can also look at it as 2 exact same lines, and when 2 lines are the same, they have infinite amount of solutions.

So K could equal -2, -4, 5, 7, 2935, or even 91235780271.

Hey there! I'm happy to help!

We want to figure out what K is equal to. Let's put all of the Ks on one side of the equation and the constants on the other side.

We subtract 4K from both sides.

4K-4K-32=-32

We combine like terms.

-32=-32

Add 32 to both sides.

0=0

Whenever you are solving an equation and end with a true equation like 0=0, it means that there are infinitely many solutions. This means you could use any number for K and the equation would work. Notice what the original equation is. 4K-32=-32+4K. It is literally the same thing on both sides, so any value for K would work.

Have a wonderful day! :D

Answer:

2 hours

Step-by-step explanation:

8 cup = 8 fl oz

4 cups × (8 fl oz)/(cup) = 32 fl oz

She started with 32 fluid ounces.

After 1 hour, she drank 10 fl oz. She had 22 fl oz left.

After the 2nd hour, she drank 10 fl oz. She had 12 fl oz left.

Answer: 2 hours

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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10³ times 8 bacteria will Harriet have in the dish at the end of 6 hours, if she has 10³ bacteria now and they double every 2 hours, option D.


Starting with the initial number of bacteria: 10³

Since the bacteria double every 2 hours, after 2 hours, there will be 10³ × 2 bacteria.

After another 2 hours (total of 4 hours), the bacteria will double again: (10³ × 2) × 2 = 1³ × 2²

After the final 2 hours (total of 6 hours), the bacteria will double once more: (10³ × 2²) × 2 = 10³ × 2³

So, at the end of 6 hours, Harriet will have 10³ × 2³ bacteria in the dish. The correct answer is D. 10³ times 8.

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Answer:

Area of ​​its base = 12cm²

Step-by-step explanation:

The Area of ​​its base = 1/2 of its surface area - 1/2 of its lateral area

Its surface area = 64, then 1/2 X 64 = 32cm²

Its lateral area = 40, then 1/2 X 40 = 20cm²

So, Area of ​​its base = 32 - 20 = 12cm²

Answer:

2 cans

Step-by-step explanation:

1 can = $2

$4 divided by $2 is 2 cans

Answer:

$0.5

Step-by-step explanation:

Step one:

given data

Landon bought a tray of plants for $8.15

There were 16 plants in the tray.

Required

The cost of one plant

Step two:

         if 16 plants cost $8.15

then  1 plant will cost x

cross multiply we have

x= 8.15/16

x=$0.5

Answer:

the answe is 10.30

Step-by-step explanation:

im also from k12 lol

The coordinates of A' in triangle A'B'C' which was produced after reflection with condition y =x is equal to option d. ( 1, 2).

Graph is attached.

Triangle A'B'C' is produced after reflection of the triangle ABC over the line y = x.

From the graph we have ,

Coordinates of A is ( 2 , 1)

Coordinates of B is (-1, 4)

Coordinates of C is ( 0, -2)

Condition of reflection of triangle ABC over the line y = x.

x-coordinates replace by y and y replace by x.

Coordinates of triangle A'B'C' are

Coordinates of A' is ( 1, 2)

Coordinates of B' is (4, -1 )

Coordinates of C' is ( -2, 0 )

Therefore, if the coordinates of point A in triangle ABC are (2, 1), the coordinates of point A' in triangle A'B'C' would be option d. (1, 2).

The above question is not complete , the complete question is:

Triangle ABC is reflected over the line y = x to produce triangle A'B'C'. What will be the coordinates of A'? Graph is attached.

a.  (2,−1)            b.  (−2,−1)                 c.  (2,1)                d.  (1,2)

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Answer:

hola poop

Step-by-step explanation:

Answer:

The correct option is;

A'(4, 4), B'(0, 4), C'(8, 8).

Step-by-step explanation:

The beginning coordinates are;

A -2, 2

B - 0, 2

C - 4, 4

Given that triangle ABC is dilated by 2, the center of dilation being the origin, (0, 0), we have;

Given that the center of dilation is the origin, we multiply the x, and y values by the scale factor as follows;

(x, y) → (2·x, 2·y)

Which gives;

A - (2, 2) → A'(2×2, 2×2) = A'(4, 4)

B - (0, 2) → B'(2×0, 2×2) = B'(0, 4)

C - (4, 4) → C'(2×4, 2×4) = C'(8, 8)

The correct option is A'(4, 4), B'(0, 4), C'(8, 8).

The solution indicates 40 positive three-digit integers of this kind are available.

The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.

Left of zero on the number line, a negative number is an integer. It is not zero, though.

Any solution x will mod 23 will also have x+23n as a solution, for some integer n.

Since;

900/23 = 39 3/23,

we know:

There are 39 or 40 three-digit integers of this form.

As it happens,

100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,

hence 40 solutions to the equation.

The equation reduces, mod 23, to

10x = 11

Its solutions are x = 23n +8.

This shows There are 40 three-digit positive integers of this form.

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Answer:

the slope is positive 10

Answer:

5.56

Step-by-step explanation:

Answer:

net force 3 direction right/east

Step-by-step explanation:

....

Answer:

Net Force: 3N  Direction: Right

Step-by-step explanation:

The forces pushing the box (cube? square?) from the top and the bottom cancel out, since they are both 4N. Then, if you subtract the 4N pushing from the right from the 7N pushing from the left, you get 3N. SInce it is pushing from the left, the object would move to the right,

The graphed function, F(x), has a value greater than 0 over the intervals (-0.7, 0.76) and (0.76,  ∞) . F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞) is the correct statement [Fourth choice].

About a Graphed Function

The function graph of an object F stands for the set of all points in the plane that are (x, f(x)). The graph of f is also known as the graph of y = f. (x). The graph of an equation is thus a specific example of the graph of a function. A graphed function is a function that has been drawn out on a graph.

It is evident from the attached graph that the supplied function exceeds 0 for the following range:

-0.7 < F(x) < 0.76

And, 0.76 < F(x) < ∞

As a result, the intervals for which the given graphed function, F(x) is greater than 0 are as follows,

(-0.7, 0.76) and (0.76, ∞)

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Answer:

54

Step-by-step explanation:

−2x4+10x5+2x6