Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.​

Plot two points of each equation

Equation 1 Equation 2

3x - 2y = 10 9x + 4y = - 50

x y x y

0 -5 0 12.5

10/3 0 -50/9 0

Graph

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer: 93c+27x−2459

Step-by-step explanation:

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

Answer:

width is 2√33 cm

Step-by-step explanation:

you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.

use Pythagorean Th.

14² = 8² + x²

x² = 14² -8²

x² = 132

x = √132 = 2√33

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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The linear approximation of f(x) = ³√(x+1) at x = 7 is given by y = (1/12)(x - 7) + 2.

To linearize the function f(x) = ³√(x+1) at x = 7, we can use a technique called linear approximation. The linear approximation of a function at a given point involves finding the equation of the tangent line to the graph of the function at that point.

First, let's find the derivative of f(x) = ³√(x+1). We can use the chain rule to differentiate this function:

f'(x) = (1/3)(x+1)^(-2/3)

Next, we evaluate f'(7) to find the slope of the tangent line at x = 7:

f'(7) = (1/3)(7+1)^(-2/3)

      = (1/3)(8)^(-2/3)

      = 1/12

Now, we have the slope of the tangent line, which is 1/12. Using the point-slope form of a line, we can write the equation of the tangent line:

y - f(7) = f'(7)(x - 7)

To find f(7), substitute x = 7 into the original function:

f(7) = ³√(7+1)

     = ³√8

     = 2

Substituting f(7) = 2 and f'(7) = 1/12 into the equation of the tangent line, we get:

y - 2 = (1/12)(x - 7)

Rearranging the equation, we can linearize f(x) at x = 7:

y = (1/12)(x - 7) + 2

Therefore, the linear approximation of f(x) = ³√(x+1) at x = 7 is given by y = (1/12)(x - 7) + 2.

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Answer:

600

Step-by-step explanation:

Assume x=target number

55%(x)=300

55%=0.55

0.55x=300

x=300/0.55

x=600

Answer

600

Step-by-step explanation:

Here is the formula/format:

Part             %

------     =    --------

Whole         100

We are trying to find the "whole" in this case, so I did:

330            55

-------   =   -------  (this says that 55% of the number we are looking for is 330)

x                100

Then, I cross multiplied and got: 55x= 33,000

From there, I divided 33,000 by 55 (inverse operations) to get x = 600.

I hope this helps! :)

The average rate of change is equal for both intervals.

The average rate of change of t over the interval [6000, 8000] is:

94.79 years/dollar, calculated by dividing 2000 years by 21.1 dollars.

On the [9000, 12000] range, a shift in A of 31.65 is observed when compareing A(12000) and A(9000). The resulting difference in t is 3000 years, thus yielding an average rate of 94.64 years/dollar for this particular segment.

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A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

Answer:

Step-by-step explanation:

1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43 1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43 in^3

Step-by-step explanation:

please mark me as brainlest

Answer:

9.6*10^-12

Step-by-step explanation:

To calculate this, you will do the mass of 2 times 10^(-12) gram. So, 2*(10)^-12. Then we know 30 hours = 480,000,000 bacteria.

So now now you calculate the mass, 480,000,000 * 2(10)^-12 which gives you 9.6*10^-4.

Sorry if it sounds confusing! I hope this helps, have a good day! :D

A. The marginal utility of consumption (MUc) of increasing consumption from c=4 to c=5 is 10.

B. The marginal utility of consumption (MUc) of increasing consumption from c=5 to c=6 is 12.

The utility function given is u(c,l) = c² + l², where c represents consumption and l represents leisure. To find the marginal utility of consumption (MUc), we need to take the derivative of the utility function with respect to c.

Taking the derivative of u(c,l) with respect to c, we get:

∂u/∂c = 2c

A. To find the MUc of increasing consumption from c=4 to c=5, we substitute c=4 into the derivative:

MUc = 2(4) = 8

B. To find the MUc of increasing consumption from c=5 to c=6, we substitute c=5 into the derivative:

MUc = 2(5) = 10

Therefore, the MUc of increasing consumption from c=4 to c=5 is 8, and the MUc of increasing consumption from c=5 to c=6 is 10.

The concept of utility function is fundamental in economics and represents an individual's preferences over different combinations of goods and services. Marginal utility measures the change in satisfaction or utility resulting from a one-unit increase in the consumption of a particular good or service, holding other factors constant. It helps in understanding how consumers make choices based on their preferences and the additional satisfaction they derive from consuming more of a particular good or service.

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Answer:

y = -5x + 7

Step-by-step explanation:

Segment bisector of the segments AB and CD will pass through the midpoint of these segments.

Midpoint of a segment is given by the coordinates = \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

where, \((x_1,y_1)\) and \((x_2,y_2)\) are the coordinates of the extreme ends of the segments.

Coordinates of the midpoint of AB = \((\frac{6-4}{2},\frac{3+1}{2})\)

                                                          = (1, 2)

Coordinates of the midpoint of CD = \((\frac{5-1}{2},\frac{-5-1}{2})\)

                                                          = (2, -3)

Let the equation of the line will be,

\(y-y_1=m(x-x_1)\)

Slope of the line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

   = \(\frac{2+3}{1-2}\)

   = -5

Therefore, equation of the line will be passing through (1, 2) and slope (-5),

y - 2 = (-5)(x - 1)

y = -5x + 5 + 2

y = -5x + 7

In linear equation, 4050 miles  is the distance michael traveled to visit his friend .    

What are a definition and an example of a linear equation?

total trip time = 5 hr                      

speed when drove to a friends house = 45 mph

speed when drove back = 30 mph  

   x/45  +  x/30  = 5

  45x + 30x = 5 * 45 * 30

   75x = 6750

    x = 6750/75

    x = 1350      

Total distance travel by michael  is 2 x = 2 ×  1350     = 4050 miles

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Answer:

Step-by-step explanation:

\(1.\ 2(6h - 3) = 30\)

\(2.\ \frac{5z+4}{2}=7\)

\(3.\ 22 - 7y = 1\)

\(4.\ \frac{8-2t}{3} =2\)

\(5.\ \frac{3}{4}x +2x=11\)

\(6.\ 5(6 + 4g) =50\)

\(7. \ 9+\frac{2}{3}k=13\)

\(8.\ \frac{7+3c}{5}=2\)

\(9.\ \frac{3f+6}{8}=3\)

\(10.\ 8(5q + 6)=88\)

Hope this helps!

The number of variables recorded are three, and the types of variables are age (continuous), marital status (categorical), and earned income (continuous).

You have recorded three variables for each of the 1463 women in your sample. These variables are:

1. Age - a continuous quantitative variable, as it can take any value within a range.
2. Marital status - a categorical qualitative variable, as it represents distinct categories (e.g., single, married, divorced).
3. Earned income - a continuous quantitative variable, as it can take any value within a range, representing the income earned by each woman.

In total, you have recorded 1 qualitative and 2 quantitative variables for your sample.

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the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.

To multiply the polynomial (6x - 7)², we can use the concept of binomial expansion or the FOIL method. Let's apply the FOIL method:

(6x - 7)² = (6x - 7)(6x - 7)

Using the FOIL method, we multiply the first terms, outer terms, inner terms, and last terms:

(6x - 7)(6x - 7) = 6x * 6x + 6x * (-7) + (-7) * 6x + (-7) * (-7)

Simplifying each term:

= 36x² - 42x - 42x + 49

= 36x² - 84x + 49

Therefore, the product of the polynomial (6x - 7)² is 36x² - 84x + 49, expressed in standard form.

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Answer:L

0.401 or 361/ 900

Explanation:

To generate a list of product names and unit prices ranked by unit price into three categories (1, 2, 3) based on price, you can use a SQL query with the RANK() function.

The highest-priced products will be marked with a 1, the second-highest-priced products with a 2, and so on.

In SQL, you can use the RANK() function along with the ORDER BY clause to rank the products based on their unit prices. The RANK() function assigns a rank to each row in the result set based on the specified ordering criteria. Here's an example SQL query to achieve this:

In this query, products is the name of the table containing the product information. We select the product_name and unit_price columns from the table. The RANK() OVER (ORDER BY unit_price DESC) part ranks the rows based on the unit_price column in descending order, with the highest prices receiving a rank of 1.

The result of this query will include the product names, unit prices, and the assigned price ranks. You can then filter the results based on the price ranks to categorize the products into three categories (1, 2, 3) based on their price rankings.

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Original line: y = -5/6x - 1

A line that is parallel to the original will have the same slope. To find the new y-intercept, we'll take the original line, plug in the given point, and solve for b.

y = -5/6x + b

-2 = -5/6(5) + b

-2 = -25/6 + b

b = 13/6

Parallel Line: y = -5/6x + 13/6

A line that is perpendicular to the original will have the opposite reciprocal slope. To find the new y-intercept, we'll take our perpendicular slope, plug in the given point, and solve for b.

y = 6/5x + b

-2 = 6/5(5) + b

-2 = 6 + b

b = -8

Perpendicular Line: y = 6/5x - 8

Hope this helps!! :)

The median would be a better measure of central tendency than the mean in representing the number of accidents an average person in this survey had over a 10-year period

In statistics, the mean and median are measures of central tendency used to describe a set of data. The mean is the average of a set of numbers, while the median is the middle value when a set of numbers is arranged in order. In this essay,

To determine which measure, the mean or median, better represents the number of accidents an average person in a survey had over a 10-year period, we need to understand the difference between these two measures of central tendency.

The mean is calculated by adding up all the numbers in a set and dividing by the total number of values in the set. It is a useful measure when the data is normally distributed and there are no extreme values that could skew the result. However, when there are extreme values or outliers, the mean can be significantly affected.

The median is the middle value of a set of numbers arranged in order. It is not affected by extreme values, making it a more robust measure of central tendency than the mean. However, it is not always an accurate representation of the data, especially when the data is skewed.

In the context of a survey about the number of accidents people had over a 10-year period, it is possible that some people may have had many accidents while others may have had none. This suggests that the data may be skewed, with some extreme values.

In such a scenario, the median would be a better measure of central tendency than the mean because it is not affected by extreme values. The median would represent the number of accidents that the person in the middle of the group had, which would be a more accurate representation of the typical experience of a person in the survey.

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the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

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1. biased

2.unbiased

2. biased prisoners should be treated equally and the system is messed up

Answer:

x=-11

Step-by-step explanation:

17+x/6=0

17+x=6

x=-11

Hypothesis: If two angles are congruent.

Conclusion: Then they have the same measure.

The hypothesis states that if two angles are congruent, which means they are identical in shape and size, then the conclusion is that they have the same measure. In other words, when two angles are congruent, their measures are equal.

Angles are typically measured in degrees or radians. When we say that two angles are congruent, it implies that the measures of those angles are the same. This can be understood through the transitive property of congruence, which states that if two angles are congruent to a third angle, then they are congruent to each other.

For example, if angle A is congruent to angle B, and angle B is congruent to angle C, then it follows that angle A is congruent to angle C. This implies that the measures of angle A and angle C are equal, as congruent angles have the same measure.

In conclusion, the hypothesis that if two angles are congruent implies that they have the same measure is valid and supported by the principles of congruence and the transitive property.

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Answer: 40

Step-by-step explanation: Remember, perimeter is adding all the sides of an object together.

answer: basketball c;

Answer:

y=-2x²+4x+9

Step-by-step explanation:

Firstly, we need to know the general formula of a quadratic, given by:

\(y=ax^2+bx+c\)

We need to form three equations with the coordinates we were given, and then we will find each variable.

The three coordinates given,

(4,-7) (-5-61) (-3, -21)

We can begin using (4,-7)

So, plugging those values in, we get

-7= a(4²)+b(4)+c

-7=16a+4b+c

Let's remember this equation and come back to it later.

Secondly, we will use (-5,-61)

-61= a(-5²)+b(-5)+c

-61=25a-5b+c

Again, let's remember this and move onto our last one.

(-3, -21)

-21=a(-3²)+b(-3)+c

-21=9a-3b+c

Now, we have three equations with three variables, so we can use the system of equations to solve for each one.

-7=16a+4b+c

-61=25a-5b+c

-21=9a-3b+c

By solving the system of equations, we eventually get

a=-2, b=4 and c=9

Thus,

y=-2x²+4x+9