1. Simplify 3√-8x24y36
2. Simplify 3√-50 Enter your answer, in simplest radical form, in the box.

Answer:

3,276

Step-by-step explanation:

10% of 3,640 is 364.

So, 3,640 - 364 = 3,276

90% of 3,640 is 3,276.

De acuerdo con la información, se puede inferir que la respuesta correcta es la opción C. Solo III, debido a que las otras afirmaciones están erradas.

Para identificar las afirmaciones correctas debemos evaluar cada una de ellas tendiendo en cuenta la información principal. En el caso de la primera afirmación es falsa debido a que 21 monedas representan un cuarto del dinero total entonces habría 84 monedas en total, no 27.

En el caso de la segunda afirmación es falsa debido a que el enunciado dice que hay 12 monedas de 5$ por lo que habría más monedas de las que dice en la opción.

En el caso de la tercera afirmación es verdadera debido a que el dinero total sí equivale a $600 como se muestra a continuación:

12 * $5 = $60

9 * $10 = $90

$90 + $60 = $150

$150 * 4 = $600

Por lo anterior, la afirmación III es verdadera, entonces la opción C sería la única correcta.

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Answer:

s

\(4x {}^{2} + 3x - 11 = 0\)

Step-by-step explanation:

Hope it helps :)

The formula for the product of two binomials is

\((a+b)(c+d) = ac+ad+bc+bd\).

In this case, we have (2x+3)(x+1).

Using the distributive property, we can simplify the expression as follows:

\(2x(x+1) + 3(x+1) = 2x^2 + 2x + 3x + 3\)

\(= 2x^2 + 5x + 3.\)

To prove this formula by cutting paper, we will create two rectangles, one with length 2x+3 and width x+1, and another with length x and width 5.

The total area of the two rectangles should be the same.

Using scissors, we will cut the first rectangle into two parts as shown below:

Cutting the second rectangle, we will cut a square with sides of length x and four equal strips of width 1.

We will rearrange these pieces to form a rectangle with length 2x and width x+1 as shown below:

We can now compare the areas of the two rectangles.

The area of the first rectangle is

\((2x+3)(x+1)\)

while the area of the second rectangle is

\(2x(x+1) + 5(x+1).\)

We can simplify this expression as follows:

\(2x(x+1) + 5(x+1) = 2x^2 + 2x + 5x + 5\)

\(= 2x^2 + 7x + 5.\)

The two areas are equal when

\((2x+3)(x+1) = 2x^2 + 7x + 5,\)

which is equivalent to

\(2x^2 + 5x + 3 = (2x+3)(x+1),\)

the formula we wanted to prove.

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Answer:

D. 85

Step-by-step explanation:

Find the angles on the inside of the triangle by doing 180 - the external angle (all angles in a straight line = 180 degrees),

eg. 180 - 133 = 47

180 - 142 = 38

Then to find the final angle inside the triangle, (using your knowledge that all angles in a triangle add to 180 degrees):

Do 180 - 47 - 38 = 95

Then 180 - 95 = 85

The answer is 85 degrees (D)

By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.

The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.

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Answer:

No, but if it was how many studens school like math then yes

in Step-by-step explanation:

Answer:

69 degrees

Step-by-step explanation:

m is a point, if your trying to find lkh, is 69

lkm=111, and jkl=180, so 180-111=jkm

jkm=69

angles that are diagonal from each other are the same degree

lkh=69

hope this helps, if not see me in the commnets

HOPE THIS HELPS, BRAINLIEST PLEASE

Answer:

m < LKH = 69°

Step-by-step explanation:

Given that m < LKM = 111° and that:

<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:

Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.

Therefore, we can establish the following equation:

m < LKM + m < LKH = 180°

111° + m <LKH = 180°

Subtract 111° from both sides to solve for m < LKH:

111° - 111° + m <LKH = 180° - 111°

m < LKH = 69°

Therefore, the measure of < LKH is 69°.

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The expected value in the game of mentioned probability is $-5.26.

Expected value can be calculated by the formula -

Expected value = (probability × winning amount) + (probability × (- losing amount))

Keep the values in formula to find the expected value -

Expected value = (1/42 × 67) + (41/42 × -7)

Performing multiplication in the brackets on Right Hand Side of the equation

Expected value = 1.57 - 6.83

Performing subtraction on Right Hand Side

Expected value = $-5.26

Hence, the expected value is $-5.26.

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Answer:

density = \(9.88*10^{-3}\) g/cm^3

Step-by-step explanation:

Step 1: Volume of soda can

\(volume = \pi r ^{2} h\)

=> \(\pi 3.25^{2}*122\)

volume = 4048.3\(cm^{3}\)

Step 2: Using answer from step 1 to calculate density

\(density=\frac{mass}{volume}\)

density = \(\frac{40}{\pi 3.25^{2}*122 }\)

density = \(9.88*10^{-3}\) g/cm^3

The hypothesis test to conduct in this situation is a two-sample test for

means, specifically a paired-sample t-test.

This is because the same group of workers is being tested twice, under

two different conditions: without exercise breaks and with exercise breaks.

The two sets of data are dependent because they are coming from the

same group of individuals, and the goal is to determine if there is a

statistically significant difference in their well-being between the two

conditions.

A paired-sample t-test is appropriate because it can compare the means of

two related samples, and it takes into account the correlation between the

data points in each sample.

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Answer:

\(\frac{9}{2}\) \(or\) \(4.5\)

Step-by-step explanation:

__________________________________________________________

The answer is  \(\frac{9}{2}\)  because,

\(1\ \frac{1}{2}\) = \(\frac{3}{2}\) = \(1.5\)

\(2\ \frac{1}{2}\) = \(\frac{5}{2}\) = \(2.5\)

\(3\ \frac{1}{2}\) = \(\frac{7}{2}\) = \(3.5\)

\(4\ \frac{1}{2}\) = \(\frac{9}{2}\) = \(4.5\)

__________________________________________________________

Hope this helps! <3

__________________________________________________________

The gas mileage of the trucks is the number of miles traveled per gallon of gas

The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.

As stated above, gas mileage measures the miles traveled by one gallon of gas.

This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile

From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.

19 miles per gallon is greater than 19 miles per gallon

This means that truck A has the greater mileage

Hence, option (B) is true

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The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.

So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.

AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.

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Answer: \(y \leq -\frac{x}{2}-\frac{7}{2}\)

Step-by-step explanation:

\(-x-2y \geq 7\\\\x+2y \leq -7\\\\2y \leq -x-7\\\\y \leq -\frac{x}{2}-\frac{7}{2}\)

6.38 * 10^3 = 6380 kilometers.

Hope this helped!

Answer:

6380km

Step-by-step explanation:

10³ is just 1000 if you think about it.

6.38 multiplied by 1000 would just mean you need to move the decimal to the right 3 times.

Also if you look up the earth's radius on wikipedia, it says 6,371km which is close to 6,380km.

Answer:

6 feet and 2 x-intercepts

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Answer:

hi

Step-by-step explanation:

18 pounds of candy costing $1.05 and 12 pounds of candy costing $1.35 are needed to be mixed to get a 30 pounds of mixture costing $1.17

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Let x represent the amount of candy costing $1.05, y represent the candy costing $1.35.

The mixture is worth $1.17 a pound and is about 30 pounds. Hence:

1.05x + 1.35x = 1.17(30)    (1)

Also:

x + y = 30    (2)

From both equations:

x = 18, y = 12

18 pounds and 12 pounds of candy are needed to be mixed

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Answer: The slope of Line B is 1/-4 = -1/4.

Step-by-step explanation:

When two lines are perpendicular to each other, the product of their slopes is -1. If the slope of Line A is -4, the slope of Line B must be 1/-4 = -1/4 in order for the two lines to be perpendicular.

The slope is 0.625 or 5/8.

Remember: Rise Over Run(Up or Down is the numerator and left or right is the denominator)

M = Slope

M = 5 ÷ 8

5 ÷ 8 = 0.625

Hope this Helped! Have a Good Day!

The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.

In the formula =D1+C1/F3, the calculation that will be performed first is: a. C1/F3. This is because, according to the order of operations (PEMDAS/BODMAS), division should be performed before addition.

1. Perform the division operation: C1/F3
2. Perform the addition operation: D1 + (result from step 1)

So, The calculation that will be performed first in the formula =D1+C1/F3 is option a. C1/F3 because in the order of operations, division is performed before addition.

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Answer: 51.4

Step-by-step explanation:

Rule:

The sum of all the exterier angles of any shape is 360

Heptagon has 7 sides

Solution:

sides = 360/7 =  51.4

The rate at which the distance is changing is calculated to be 14.42 miles per hour.

Consider the east direction to be denoted by x and the north direction to be denoted by y, therefore;

dx / dt = 12 mph

dy / dt = 8 mph
x is equal to 4 miles

Consider the distance between them to be s

Time taken by you to travel 4 miles = distance / speed

Time taken by you to travel 4 miles = 4/12 hour

Distance traveled by the friend in that time = speed × time

Distance traveled by the friend in that time = 8 × (4/12) = 2.67 miles

Now we use the Pythagorean theorem,

x^2 + y^2 + s^2 ...... (1)

Substitute, x = 4 miles and y = 2.67 miles

s^2 = 16 + 7.1289 = 23.1289

s = 4.81

Now differentiate equation 1 with respect to t as follows;

2x (dx/dt) + 2y (dy/dt) = 2s (ds/dt)

2(4) (12) + 2(2.67) (8) = 2 (4.81) (ds/dt)

96 + 42.72 = 9.62 (ds/dt)

138.72 = 9.62 (ds/dt)

ds/dt = 138.72/9.62 = 14.42 miles per hour

Thus the distance is changing at the rate of 14.42 miles per hour.

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Answer:what is the least common denominator of the fractions 2/3 and 3/5? HELP PLEASE

Step-by-step explanation:

Answer:

I think the LCM is 4/5

Step-by-step explanation:

suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.

To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:

1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.

2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
  Z = (X - μ) / σ

3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.

4. Plug in the known values and solve for σ:
  0.84 = (9 - 5) / σ
  σ ≈ 4 / 0.84
  σ ≈ 4.76

5. Finally, find the variance, which is σ²:
  σ² ≈ 4.76²
  σ² ≈ 22.66

So, the approximate variance of the normal random variable X is 22.66.

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The approximate variance of the normal random variable X is the square of the standard deviation:

Var(X) ≈ \((4.76)^2\) ≈ 22.65 (rounded to two decimal places).

To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.

First, we calculate the z-score using the standard normal distribution formula:

z = (X - μ) / σ

where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.

Plugging in the values, we get:

z = (9 - 5) / σ = 4 / σ

Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.

Now, we can use the z-score formula to solve for the standard deviation σ:

-0.84 = 4 / σ

Cross-multiplying, we get:

-0.84σ = 4

Dividing both sides by -0.84, we get:

σ ≈ 4 / -0.84 ≈ -4.76

Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:

σ ≈ 4.76

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To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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The Wien Apetrol UC 20142000 was a unique and innovative venture that aimed to provide clean energy solutions to the people of Austria.

x = -7

ma = 54

m23 = 54

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