What is the value of x in the triangle?

Answer:

1a. 4x + 12 ≥ 40

Subtract 12 from both sides:

4x ≥ 28

Divide both sides by 4:

x ≥ 7

Therefore, the solution is x ≥ 7.

1b. 3(x + 8) ≤ 3x + 15

Distribute the 3:

3x + 24 ≤ 3x + 15

Subtract 3x from both sides:

24 ≤ 15

This inequality is not true for any value of x, so there is no solution.

The probability that the person's highest level of education is an undergraduate degree is 0.37.

The probability that the person's highest level of education is an undergraduate degree can be calculated by adding the probabilities of individuals with undergraduate degrees who take dietary supplements and who do not take dietary supplements. From the contingency table, the probability of an individual with an undergraduate degree taking dietary supplements is 0.09, while the probability of an individual with an undergraduate degree not taking dietary supplements is 0.28. Therefore, the total probability of an individual with an undergraduate degree is the sum of these probabilities, which is 0.09 + 0.28 = 0.37. Therefore, the probability that the person's highest level of education is an undergraduate degree is 0.37.
Contingency tables are used to display the distribution of one variable for different categories of another variable. In this case, the contingency table displays the distribution of the population of adults based on their highest level of education and whether they take dietary supplements or not. The table helps to identify any patterns or associations between the two variables. For instance, the table shows that individuals with higher levels of education are more likely to take dietary supplements.
Probability is a statistical measure of the likelihood of an event occurring. It ranges from 0 to 1, with 0 indicating impossibility and 1 indicating certainty. In this case, we use probability to determine the likelihood of an individual having an undergraduate degree based on the contingency table. The probability of an undergraduate degree was found by adding the probabilities of individuals with undergraduate degrees who take dietary supplements and those who do not take dietary supplements.

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Answer:

$31.21

Step-by-step explanation:

Purse onsale price:125x(1-30%)=125x0.7=87.5

Taxes:  87.5x7%=6.125

Purse total: 87.5+6.125=93.63

Each of them: 93.63/3=31.21

Answer:

A = 2, B = 3 and C = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 2 ( subtract 2x from both sides )

3y = - 2x + 2 ( divide all terms by 3 )

y = - \(\frac{2}{3}\) x + \(\frac{2}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Parallel lines have equal slopes, thus

y = - \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - \(\frac{4}{3}\) + c ⇒ c = \(\frac{4}{3}\)

y = - \(\frac{2}{3}\) x + \(\frac{4}{3}\) ← in slope- intercept form

Multiply through by 3

3y = - 2x + 4 ( add 2x to both sides )

2x + 3y = 4 ← in standard form

with A = 2, B = 3 and C = 4

The area of the new rectangle is 9 times the previous area and the perimeter of the new rectangle is 3 times the previous area

From the question, we have the following parameters that can be used in our computation:

(-1, 2), (-1, -4), (3, -4), and (3, 2).

See attachment for the points, where we have

Length = 4 and width = 6

Using area and perimeter formulas, we have

Area = 4 * 6 = 24

Perimeter = 2 * (4 + 6) = 20

Here, we have

New = (-3, 6), (-3, -12), (9, -12), and (9, 6).

See attachment for the points, where we have

Length = 12 and width = 18

Using area and perimeter formulas, we have

Area = 12 * 18 = 216

Perimeter = 2 * (12 + 18) = 60

The area of the new rectangle is 9 times the previous area

i.e. 216/24 = 9

The perimeter of the new rectangle is 3 times the previous area

i.e. 60/20 = 3

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Answer:

Circumference = 37.7 ft

Area = 1131.1 ft^2

Step-by-step explanation:

Circumference = 2πr

                         = 2π(6)

                         = 12π

                         = 37.7 ft

Area = π\(r^{2}\)

        = π\((6)^{2}\)

        = 36π

        = 113.1 ft^2

The decay constant of a radioactive nuclide exists its probability of decay per unit time.

The half life of i 125 is 60 days exists 0.169 ml.

The decay constant of a radioactive nuclide exists its probability of decay per unit time. The number of parent nuclides P therefore decreases with time t as dP/P dt = −λ.

The ratio of the number of radioactive atoms in a population to the rate at which they are vanishing due to radioactive decay.

The rate of decay is determined by the decay constant. The symbol for the decay constant is "lambda," or. The many diverse decay rates that have been seen may be caused by large variations in this constant probability among various types of nuclei.

Decay constant: \($& \lambda=\frac{0.693}{t_{1 / 2}}\)

Decay constant expressed in any unit of time

Such as reciprocal seconds, minutes, hours etc.

\($\mathbf{N}=\mathrm{N}_o \mathrm{e}^{-\lambda t} \quad \lambda=\frac{0.693}{\mathrm{t}_{1 / 2}}$\)

Half Life: \($\quad t_{1 / 2}=\frac{0.693}{\lambda}$\)

The half life of i 125 is 60 days exists 0.169 ml.

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The Absolute minimum and maximum values of the function are:

Absolute minimum value = (0.1, 0.2)

Absolute maximum value = (1, 2)

We have,

The function f(x) = 2x is continuous and differentiable for all values of x in the interval [0.1, 1].

To find the absolute maximum and minimum values of f(x) on this interval, we need to find the critical points of the function, which are the points where the derivative of the function is zero or undefined, and the endpoints of the interval.

The derivative of f(x) is f'(x) = 2, which is a constant function that is always defined and never zero.

Therefore, there are no critical points in the interval [0.1, 1].

The endpoint values of the interval are f(0.1) = 0.2 and f(1) = 2.

Therefore, the absolute minimum value of f(x) on the interval [0.1, 1] is f(0.1) = 0.2, which occurs at x = 0.1,

The absolute maximum value of f(x) on the interval [0.1, 1] is f(1) = 2, which occurs at x = 1.

So, the location and value of the absolute extreme values of the function f(x) on the interval [0.1, 1] are:

Absolute minimum value: (0.1, 0.2)

Absolute maximum value: (1, 2)

Thus,

Absolute minimum value: (0.1, 0.2)

Absolute maximum value: (1, 2)

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The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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Answer:

0.785

Step-by-step explanation:

formula = (a/360)2r π

Answer:

2,889 digits

Step-by-step explanation:

Total pages of the book = 999 pages

Page 1 - 9 cut separately = 9 digits

Page 10 - 99 = 90 pages

Total digits = 2(90)

= 180 digits cut separately

Page 100 - 999 = 900 pages

Total digits = 3(900)

= 2,700 digits cut separately

how many separate digits does Kai have when he is finished

Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits

= 2,889 digits

Total separate digits Kai have when he is finished = 2,889 digits

Answer:

37 customers preferred cake.

Step-by-step explanation:

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To find out how many customers preferred cake, we need to multiply the total number of customers (105) by the percentage of customers who preferred cake (35%):

(35% = 0.35)

Rounding this to the nearest whole number gives us 37. Therefore, approximately 37 customers preferred cake.

Answer:

35% of 105 is 36.75. ( Rounded up 37). So 37 customers preferred cake the most

Final Answer:

There are 0.036 decimeters in 3.6 millimeters.

Explanation:
To convert from millimeters to decimeters, we can use the following measurement conversion:

1 millimeter = 0.01 decimeters

So, to find out how many decimeters are in 3.6 millimeters, we can multiply 3.6 by 0.01:

3.6 * 0.01 = 0.036

Therefore, there are 0.036 decimeters in 3.6 millimeters.

Tye answer to this problem is 9 hours

Answer:

Step-by-step explanation:

It’s 9

Answer:

3375

Step-by-step explanation:

Answer:

\(\frac{x^2}{16} +xy+4y^2\) can be factored out as: \((\frac{x}{4} +2\,y)^2\)

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

\((a+b)^2=a^2+2ab+b^2\)

Now, let's try to identify the values of \(a\) and \(b\) in the given trinomial.

Notice that the first term and the last term are perfect squares:

\(\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2\)

so, we can investigate what the middle term would be considering our \(a=\frac{x}{4}\), and \(b=2y\):

\(2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y\)

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

\((\frac{x}{4} +2\,y)^2\)

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

5(2)+5(7)

Step-by-step explanation:

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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A(n) "spanned" volume is similar to a primary partition, but in fact, is not a primary partition.

A spanned volume is similar to a primary partition, but in fact, is not a primary partition. In a spanned volume, you can combine free space from multiple disks to create a larger logical storage unit, while a primary partition is a segment of a hard disk drive that the operating system recognizes as a separate logical storage unit. A volume can span multiple partitions depending on how it is configured, or it can encompass a single partition. Different operating systems have different ways of configuring and managing volumes.

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The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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A scatterplot with a strong nonlinear relationship can have a correlation coefficient close to 0, but still have a strong relationship between the variables.

For example, consider a scatterplot where the points follow a curved pattern, such as a parabola or a sine wave. In such a case, the correlation coefficient may be close to 0, indicating no linear relationship between the variables, but there is still a strong nonlinear relationship between them.

In general, it is important to consider the shape and pattern of the scatterplot, in addition to the correlation coefficient, when assessing the relationship between two variables. A scatterplot with a weak correlation coefficient and a random scatter of points may indicate no relationship, while a scatterplot with a strong nonlinear pattern may indicate a strong relationship, even if the correlation coefficient is close to 0.

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no I think bc you will have to keep taking out money

Answer:

16 + x > 31, so x > 15

16 + 31 > x, so x < 47

Combining these inequalities, we have

15 < x < 47.

Since x is the shortest side of this triangle, and since the triangle is not isosceles,

15 < x < 16. So one possible value of x is 15.1.

The object whose distance is three times its displacement is object Z.  

The distance is defined as a scalar quantity representing the total distance traveled.

Displacement is a vector representing the distance between the end and start points.

Distance, Displacement, Ratio To calculate r = 3

Object    Motion                                    Distance     Displacement  ratio

 X          3 units left, 3 units right        3 + 3 = 6       3 - 3 = 0            ∞

 Y          6 units right, 18 units right    6 + 18 = 24    6 + 18 = 24       1

 W         8 units left, 24 units right      8 + 24 = 32   -8 + 24 = 16     2

 Z          16 units right, 8 units left       16 + 8 = 24    16 - 8 = 8         3

Ratio is calculated by dividing the distance by the displacement.

distance/displacement.

For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.  

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Answer:

16π or around 50.26

Step-by-step explanation:

A=πr²

A=π(4)²

A=16π

A=16(3.1415926)

A=50.26

Answer:

\(Base (B) = /frac{15x² + 1 + 2}{x}\)

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

\(\frac{15x² + x + 2}{x²} = B

\(Base (B) = /frac{15x² + 1 + 2}{x}\)

Answer: c

Step-by-step explanation: