solve for x!!!!!!!!!

Answer:

2=40 3=140 4=40

Step-by-step explanation:

the center line is equal to 180 degrees so if angle 1 is 140, 180-140=40 angle 2=40

angle 2 and 4 and the same by some process (its been awhile since geometry to remember exact terms)

angle 1 and 3 are the same (same reason)

Answer:

<2 is 40°, <3 is 140°, <4 is 40°

Step-by-step explanation:

Angle 1 and angle 3 are equal because of the vertical angles theorem. Angle 2 is supplementary to angle 3(<3 = 140°), so 180 - 140 = 40°. <2 and <4 are equal because of the vertical angles theorem.

This formula calculates the value corresponding to a 90% confidence level using the T.INV function. The first argument, 0.95, represents 1 minus the desired confidence level (0.05 for a 90% confidence level). The second argument, `COUNT(A2:A89)-1`, calculates the degrees of freedom by subtracting 1 from the count of data points.

To find the value from the appropriate probability table to construct a 90% confidence interval in cell B8, you can use the T.INV function in Excel. Here's how you can do it:

1. In cell B8, enter the formula:

  ```

  =T.INV(0.95, COUNT(A2:A89)-1)

  ```

  This formula calculates the value corresponding to a 90% confidence level using the T.INV function. The first argument, 0.95, represents 1 minus the desired confidence level (0.05 for a 90% confidence level). The second argument, `COUNT(A2:A89)-1`, calculates the degrees of freedom by subtracting 1 from the count of data points.

Make sure to adjust the cell references in the formula based on the actual location of your data in the spreadsheet.

Note: The T.INV function returns the value from the Student's t-distribution, which is used for small sample sizes or when the population standard deviation is unknown.

If you have a large sample size (usually considered more than 30), you can use the Z.INV function instead to calculate the value from the standard normal distribution.

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Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.

Answer: x^2 = 1.143;

P-value > 0.25

Step-by-step explanation: I got it right on khan academy!!

The P-value for the test is less than 0.05, indicating strong evidence against the null hypothesis. Adele can conclude that senior citizens in her community complete their taxes differently than what was reported in the article.

To carry out a χ2 goodness-of-fit test, Adele needs to compare the observed frequencies of how senior citizens completed their taxes with the expected frequencies based on the distribution reported in the article. The test statistic for this type of test is calculated as the sum of the squared differences between the observed and expected frequencies divided by the expected frequencies. In this case, the test statistic is 15.67. The degrees of freedom for the test are equal to the number of categories minus one, which in this case is 3 - 1 = 2. Using a significance level of 0.05, the critical value for the test is 5.99. Since the test statistic of 15.67 is greater than the critical value of 5.99, we reject the null hypothesis that the senior citizens in the community complete their taxes according to the distribution reported in the article.

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Answer:

HERE

HOPE IT HELPS YOU!

Step-by-step explanation:

0.04 x _10^1____=0.4

__10^2__x0.006=0.6

0.007 x __10^3__=7

0.004 x_10^3___=4

___10^3__ x 0.006=6

0.07 x _10^1___= 7

The required values of the missing power of 10 in the exponential form are below :

a. 0.04 × 10¹ =0.4, and 10² × 0.006 = 0.6

b. 0.007 × 10³ = 7, and 0.004 × 10³ = 4

c. 10³ × 0.006 = 6, and 0.07 × 10¹ = 7

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable.

We have to determine the missing values in the given expression

⇒ 0.04 × 10¹ =0.4

⇒ 10² × 0.006 = 0.6

⇒ 0.007 × 10³ = 7

⇒ 0.004 × 10³ = 4

⇒ 10³ × 0.006 = 6

⇒ 0.07 × 10¹ = 7

Thus, the required values of the missing power of 10 in the exponential form are above in the solution.

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The vertical stretch was applied but not the horizontal stretch. This means that the answer is option C.

At an annual inflation rate of 3%, it would take approximately 24 years for prices to double, at 5% it would take approximately 14.4 years, and at 9% it would take approximately 8 years.

The rule of 72 is a simple formula used to estimate the doubling time of an investment or the inflation rate. By dividing 72 by the annual growth rate, we can determine the approximate time it takes for a value to double.

a. At an annual inflation rate of 3%, we divide 72 by 3 to get 24. This means that it would take approximately 24 years for the general level of prices to double.

b. At an annual inflation rate of 5%, we divide 72 by 5 to get 14.4. This mean that it would take approximately 14.4 years for prices to double.

c. At an annual inflation rate of 9%, we divide 72 by 9 to get 8. This means that it would take approximately 8 years for the general level of prices to double.

These calculations assume that the inflation rate remains constant over the given period and that the compounding is done annually. However, it's important to note that inflation rates can vary and fluctuate, which may affect the accuracy of these estimates.

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The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

5-6i

Step-by-step explanation:

The complex conjugate root theorem states that if (a+bi) is a root, then (a-bi) must also be a root and vice versa.

We know that (5+6i) is a root.

Then by the above theorem, (5-6i) must also be a root.

Hence, our solution is (5-6i).

The answer is (B).

Took the review test and passed.

The quadratic function can be written in the form f(x) = a(x - h)^2 + k.

In this form, a represents the coefficient in front of the squared term, which determines the direction and steepness of the graph. If a is positive, the graph opens upwards, and if a is negative, the graph opens downwards.

The values of h and k determine the vertex of the quadratic function. The x-coordinate of the vertex is given by h, and the y-coordinate is given by k. By adjusting these values, you can shift the graph horizontally (left or right) or vertically (up or down) to create different positions for the vertex.

For example, let's say we have the quadratic function f(x) = 2(x - 3)^2 - 1. In this case, the coefficient a is 2, and the vertex is located at (3, -1). The graph will open upwards since a is positive, and the vertex will be shifted 3 units to the right and 1 unit down from the origin.

Similarly, if we have the quadratic function f(x) = -0.5(x + 2)^2 + 4, the coefficient a is -0.5, and the vertex is located at (-2, 4). The graph will open downwards since a is negative, and the vertex will be shifted 2 units to the left and 4 units up from the origin.

In summary, the quadratic function can be written in the form f(x) = a(x - h)^2 + k, where a determines the direction and steepness of the graph, and h and k determine the position of the vertex. Adjusting these values allows you to create different shapes and positions for the graph of a quadratic function.

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Answer:

3/8 is is bigger then 3/12

Step-by-step explanation:

The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16

Sorry if its wrong! ^^""

As, 0.375> 0.25, so, 3/8 is greater than 3/12.

Here, we have,

To get the answer, we first convert each fraction into decimal numbers.

We do this by dividing the numerator by the denominator for each fraction as illustrated below:

3/8 = 0.375

3/12 = 0.25

Then, we compare the two decimal numbers to get the answer.

0.375 is greater than 0.25.

i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125

Therefore, 3/8 is greater than 3/12.

Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.

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Answer:

First, let's explain the transformations in a general way:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Horizontal dilation/contraction.

For a function f(x), an horizontal contraction dilation is written as:

g(x) = f(k*x)

where:

k is called the "scale factor"

If k < 1, then the graph "dilates" horizontally.

if k > 1, then the graph "contracts" horizontally.

Now, in this problem we have:

f(x) = log(x)

And the transformed function is:

g(x) = f(0.25*(x - 5)) + 3

Then, the transformations that take place here are, in order:

Vertical shift of 3 units up:

g(x) = f(x) + 3.

Horizontal shift of 5 units to the right:

g(x) = f(x - 5) + 3

Horizontal dilation of scale factor 0.25

g(x) = f( 0.25*(x - 5)) + 3

replacing f(x) by log(x) we have

g(x) = log(0.25*(x - 5)) + 3.

Answer:

can i have life orientation project memo for term 2

The number of possible outcomes when removing three objects without replacement from a box containing n different objects is given by the combination formula C(n, 3), which can be calculated as n(n-1)(n-2)/3!.

When removing objects without replacement, the order in which the objects are chosen does not matter. We are interested in counting the number of combinations of three objects that can be selected from the total pool of n objects.

Using the combination formula, C(n, k) = n! / (k!(n-k)!), where n! denotes the factorial of n, we can calculate the number of possible outcomes when choosing three objects from n.

In this case, n represents the number of different objects in the box, and we want to choose three objects at a time. Therefore, the number of possible outcomes is given by C(n, 3).

Simplifying the combination formula for our scenario, we have:

C(n, 3) = n! / (3!(n-3)!) = n(n-1)(n-2)/3!

This formula represents the number of distinct combinations of three objects that can be selected from a pool of n objects without replacement.

For example, if there are 5 different objects in the box (n = 5), the number of possible outcomes would be C(5, 3) = 5 * 4 * 3 / 3! = 10.

In general, the number of possible outcomes when removing three objects without replacement from a box containing n different objects is n(n-1)(n-2)/3!.

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Answer:

D because 2/3 equals 2 1/3 mugs

Given: A = 43.7°, a = 8.7, and b = 10.3We can find the number of possible triangles by using the Law of Sines, which states that a / sin A = b / sin B = c / sin C, where a, b, and c are the side lengths and A, B, and C are the opposite angles. Let's first use the Law of Sines to find the value of sin B: a / sin A = b / sin B => sin B = b sin A / a.

Substituting the given values, we get: sin B = 10.3 sin 43.7° / 8.7≈ 0.641Now we know the value of sin B. We can use the inverse sine function (sin⁻¹) to find the possible values of angle B: B = sin⁻¹ (0.641)≈ 40.4° or B ≈ 139.6°Note that there are two possible angles for B because sine is a periodic function that repeats every 360°.Now that we know the possible values of angle B, we can use the fact that the sum of the angles of a triangle is 180° to find the possible values of angle C: C = 180° - A - B. For B = 40.4°, we get: C = 180° - 43.7° - 40.4° = 95.9°For B = 139.6°, we get: C = 180° - 43.7° - 139.6° = -2.3°Note that we get a negative value for angle C in the second case, which is not possible because all angles of a triangle must be positive. Therefore, the second case is not valid and we only have one possible triangle. Answer: There is only one possible triangle.

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Answer:

x=36

Step-by-step explanation:

By vertical angles we know that

\(72 = 2x\\\\x=\frac{72}{2}\\\\x=36\)

Answer:

x = 36

Step-by-step explanation:

72 and 2x are vertical angles, so they are equal.

2x = 72

2x/2 = 72/2

x = 36

Answer:

6

Step-by-step explanation:

approximately 469 million people lived in the United States, Canada, and Mexico combined

To find the total number of people living in the United States, Canada, and Mexico, we will add the population of each country together.
1. United States: 3.2 x \(10^{8}\) people
2. Canada: 3.9 x \(10^{7}\) people
3. Mexico: 1.1 x \(10^{8}\) people
Now, let's add these populations together:
(3.2 x \(10^{8}\)) + (3.9 x \(10^{7}\)) + (1.1 x \(10^{8}\))
First, we will perform the multiplication for each term:
320,000,000 (United States)
39,000,000 (Canada)
110,000,000 (Mexico)
Now, add the populations:
320,000,000 + 39,000,000 + 110,000,000 = 469,000,000

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The degrees of freedom for the numerator is  2. The df for the denominator is 54

For a one-way ANOVA with k groups and n observations per group, the degrees of freedom (df) for the numerator and denominator are calculated as follows:

The df for the numerator is k - 1, which represents the number of groups minus one.

The df for the denominator is N - k, which represents the total number of observations minus the number of groups.

In this case, there are 3 groups and each group has n = 19 observations, so the total number of observations is N = 3 x 19 = 57. Therefore:

The df for the numerator is 3 - 1 = 2

The df for the denominator is 57 - 3 = 54

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Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

If random sample yielded these observed scores: 6 12 5 10 6 9 12 20 5 23 10 20 11 28 13 18. The 99% confidence interval for the mean height of both groups combined is approximately (3.92, 20.58) cm.

To calculate the 99% confidence interval for the mean height of both groups combined, we can use the t-distribution, since the sample size is relatively small (less than 30) and the population standard deviation is unknown.

First, we need to calculate the sample mean and sample standard deviation. The sample mean can be calculated by adding up all the observed scores and dividing by the total number of scores. In this case, the sample mean is (6+12+5+10+6+9+12+20+5+23+10+20+11+28+13+18) / 16 = 12.25 cm.

The sample standard deviation can be calculated using the formula:

s = √((∑(x - x')^2) / (n - 1))

where x is each observed score, x' is the sample mean, and n is the sample size. In this case, the sample standard deviation is approximately 7.05 cm.

Next, we need to calculate the t-value for a 99% confidence level, with 15 degrees of freedom (16 - 1). Using a t-table or a statistical software, we can find that the t-value is approximately 2.947.

Finally, we can calculate the confidence interval using the formula:

Confidence interval = sample mean ± (t-value * (sample standard deviation / √(sample size)))

Plugging in the values, we get:

Confidence interval = 12.25 ± (2.947 * (7.05 / √(16))) = 12.25 ± 8.33

In summary, to calculate the 99% confidence interval for the mean height of both groups combined, we can use the t-distribution and the formula for confidence intervals. We need to calculate the sample mean, sample standard deviation, t-value for the desired confidence level, and then plug these values into the formula to get the confidence interval.

This interval represents the range of values within which we can be 99% confident that the true mean height of both groups combined falls.

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None of the provided options is correct. The simplified value of the expression [(23)4]2 is 65536.

To simplify the expression [(23)4]2, we start by evaluating the exponent inside the inner parentheses:

(23)4 = 23 * 23 * 23 * 23

This results in 256. Now, we substitute this value back into the expression:

[(23)4]2 = 2562

Squaring 256 gives us 65536. Therefore, the simplified value of the expression [(23)4]2 is 65536.

So, the correct answer is not listed among the options provided. None of the given options (a) 17666216, b) 12222617, c) 17222167, d) 16777216) match the simplified value of 65536.

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Answer:

58.3°

Step-by-step explanation:

Missing Information:

In this question the diagram is missing Following are the attachment of diagram of the given question.

As we seen that the vertex c is making the right angle i,e 90°  also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm

Now we have find the best approximation of the angle ABC used the cosx  trigonometric function.

\(cos\ x\ =\ \frac{perpendicular}{Hypotenuse} \\\)

Putting the value of perpendicular and hypotenuse in the previous formula we get

\(cos\ x\ =\ \frac{10.5\ cm}{20\ cm} \\\)

\(x\ =cos^{-1}\ 0.525\\x \ = \ 58.33\)

Answer:

58.3

Step-by-step explanation:

jus did the test review on EDGE! :)

The proper way to report the groups' mean and standard deviation of independent sample t test is  

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

The APA style guide provides detailed instructions for referencing statistical test results, so in addition to following the basic format correctly, you must pay attention to details like punctuation, bracket placement, italicization, and other formatting elements.

Given, that the independent samples t test is conducted, where we have two groups.

Group 1- mean= 11.6 and SD=3.1

Group 2- mean=19 and SD=2.9

We have to write the values in the APA format for a report.

The APA formatting to represent the mean and SD of two groups is as follows, Mean and standard deviation are denoted by the letters M and SD, respectively.

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

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Answer:

34

Step-by-step explanation:

hope that helps

:)

The equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

To find an equation with the same solution as the equation x² - 16x + 20 = -2, manipulate the given equation while preserving its solutions.

Starting with the given equation:

x² - 16x + 20 = -2

Move the constant term (-2) to the other side:

x² - 16x + 20 + 2 = 0

Simplifying:

x^2 - 16x + 22 = 0

Therefore, the equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

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