Find all the solutions to the equation.

7sin²x - 14sinx + 7 = 0

Answer:

have a great day

god is great

Answer:

Step-by-step explanation:

i needs more iformation

Answer:

5,868,000

Step-by-step explanation:

2,934,000 x 2 = 5,868,000

Answer:

584

Step-by-step explanation:

Hope this helps

The radius of convergence is 0, and the interval of convergence is the single point x = 0.

To obtain the radius of convergence and interval of convergence of the series we can use the ratio test.

\(\[ \sum_{n=1}^{\infty} \frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1} \]\)

The ratio test states that if \(\( L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| \)\), then the series converges if \(\( L < 1 \)\) and diverges if \(\( L > 1 \). If \( L = 1 \)\), the test is inconclusive.

Let's calculate the limit:

\(\[ L = \lim_{n \to \infty} \left| \frac{\frac{2 \cdot 4 \cdot 6 \cdots (2(n+1))}{3 \cdot 5 \cdot 7 \cdots (2(n+1)+1)}x^{2(n+1)+1}}{\frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1}} \right| \]\)

Simplifying the expression:

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)(2n+1)x^{2n+3}}{(2n+1)(2n)x^{2n+1}} \right| \]\)

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)x^2}{x^2} \right| \]\)

\(\[ L = \lim_{n \to \infty} 2(n+1) = \infty \]\\\)

Since the limit is infinity, the series diverges for all values of  x , except when x = 0 and hence the radius of convergence is 0, and the interval of convergence is the single point x = 0.

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We are given the values of a and b and an equation involving exponents. We need to solve for the value of x.

The given equation is \((a)^2\) =\((b)^2\) * \((x)^2\).

We can solve for x by isolating it on one side of the equation. Let's rewrite the equation: \((a)^2\) = \((b)^2\) * \((x)^2\)

Taking the square root of both sides, we have: \(\sqrt{a^2}\)= \(\sqrt{b^2}\) * \((x)^2\)

Simplifying further, we get: a = b * x

Now we can solve for x by dividing both sides of the equation by b: x = a / b.

Substituting the given values of a and b into the equation, we have: x = 0.697 / 0.6

Evaluating this expression, we find: x ≈ 1.162

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Answer:

The measure of ABC is 72

Step-by-step explanation:

if the angle ABC is bisected, it means that the two angles ABD and DBC are equal;

Thus;

12x + 24 = 20x + 16

20x -12x = 24-16

8x = 8

x = 1

The measure of angle ABC is the sum of the two angles

ABC = 12x + 24 + 20x + 16

ABC = 32x + 40

Substitute x = 1

ABC = 32(1) + 40

ABC = 72 degrees

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as \(L \ne W\)

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make \(L \ne W\) to have a nonsquare rectangle.

Answer:

B. 5 foot piece of rope for $25.80

Step-by-step explanation:

To find the better buy, determine the cost per inch:

A. 30 inch piece of rope for $14.70

14.70 / 30 inches =.49 per inch

B. 5 foot piece of rope for $25.80

5 ft = 5*12 = 60 inches

25.80/60 =.43 per inch

C. One inch of rope for $0.45

.45 per inch

Answer:

i think its C

Step-by-step explanation:

hope this helped:)

Answer:

10b

Step-by-step explanation:

Answer:

5. \(y=\frac{1}{3}x-3\)

6. \(y=\frac{1}{4}x+4\)

7. \(y=-5\)

8. \(y=x+5\)

9. \(y=\frac{-1}{2}x+6\)

10.\(y=-4x+2\)

Step-by-step explanation:

5. Slope = \(\frac{-1-0}{6-9}\) = \(\frac{-1}{-3}\) = \(\frac{1}{3}\)

\(y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3\)

6. Slope => \(\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}\)

\(y = \frac{1}{4} x+b\)

\(6=\frac{1}{4}(8)+b\\6=2+b\\b=4\)

7. Slope => \(\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0\)

\(y=-5\)

8. Slope => \(\frac{4-7}{-1-2} = \frac{-3}{-3} = 1\)

\(y=x+b\\7=2+b\\b=5\)

9. Slope => \(\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}\)

\(y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6\)

10. Slope => \(\frac{14-2}{-3-0} =\frac{12}{-3} =-4\)

\(y=-4x+b\\2=-4(0)+b\\b=2\)

First, we would need to create an equation for this problem. Let x represent the unknown number of hours.

4(6 + x) = 48

Next, you would simplify the equation.

24 + 4x = 48

Now, you would combine like terms.

4x = 24

Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.

x = 6

I hope this helps!

Answers x=6

Step-by-step explanation:

The team's average value per hand is 0.76 and the simulation is shown in the figure.

Average Value:

Average means the ratio of the sum of all given observations to the total number of observations.

Given,

You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand.

The probability of your team getting 1 point for a hand is 60% and of getting 3 points for a hand is 5% .

Here we need to design a simulation and estimate your team's average value per hand.

When we use a random number generator to generate integers

1 through 20, where

1–7 represents 0 points,

8–19 represents 1 point, and

20 represents 3 points.

Do 50 trials and record the results in a frequency table.

The table looks like, the following.

Based on the frequency table, The average value is the sum of the product of each point value and its corresponding frequency is calculated as,

=> average = (0 x 16/50) + (1 x 32/50) + (3 x 2/50)

=> average = 0 + 32/50 + 6/50

=> average = 38/50

Which is approximately equal to,

=> average ≈ 0.76

Therefore, team's average value per hand is 0.76

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(b) 145, 143, 145, and 147 must have the smallest standard deviation.

A statistical measurement called standard deviation examines how distant a set of numbers is from the mean. Simply said, standard deviation quantifies the degree of dispersion between numbers in a data set. The square root of the variance is used to construct this metric. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

Given,

(b) 145, 143, 145, and 147 must have the smallest standard deviation.

Due to the near proximity of all the values, this particular data set has the lowest standard deviation.

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The correct system of equations to solve for the number of each type of ticket is:

Equation 1: 8a + 18c = 8,400

Equation 2: a = 2c - 50

Explanation:

In the given problem, we have two types of tickets: child tickets and adult tickets. We are given the prices of the tickets ($8 for a child ticket and $18 for an adult ticket) and the total amount of money raised from ticket sales ($8,400).

Equation 1 represents the total value of the ticket sales. We multiply the number of child tickets (c) by the price of a child ticket ($8) and the number of adult tickets (a) by the price of an adult ticket ($18). The sum of these products should equal $8,400.

Equation 2 represents the relationship between the number of adult tickets (a) and the number of child tickets (c) based on the given information. It states that the number of adult tickets is 50 more than twice the number of child tickets.

By solving this system of equations, we can find the values of a (the number of adult tickets) and c (the number of child tickets) that satisfy both equations and provide a solution to the problem.

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Answer:

The coordinates for the outlier are (14,13)

I believe it is a positive correlation

13.6 hours of sunshine would be my guess but I'm not 100% sure

I believe the last answer is A.

The distance of the shortest path in miles using the nearest neighbor technique can be found by applying the following steps:
1. Start at the bakery and find the nearest market.
2. Move to that market and find the nearest market from there.
3. Repeat step 2 until all markets have been visited once.
4. Find the distance from the last market back to the bakery.
5. Add up all the distances to get the total distance of the shortest path.

It is important to note that the nearest neighbor technique does not always guarantee the shortest possible path, but it is a simple and efficient way to find a relatively short path. The distance of the shortest path will depend on the specific locations of the bakery and markets, so it is difficult to provide an exact answer without more information. However, by applying the nearest neighbor technique as described above, you can find the distance of the shortest path for your specific scenario.

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The Translation to  algebraic expression is shown below.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

To create a variable expression for a circumstance in the actual world:

For example, the sum of a and b can be written as

= a+ b

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correct answer is a) 20.53 feet per second

John can ride his bicycle at a rate of 20.53 feet per second.

How do I calculate feet per second?

Multiplying your foot-per-minute speed by 60. This is how many seconds there are in a minute. Your speed in feet per second is the outcome. For instance, 88 feet per second is equal to 5,280 feet per minute divided by the 60 seconds in a minute.

How long is a second in feet?

One-degree of longitude equals 288,200 feet (54.6 miles), one minute equals 4,800 feet (0.91 mile), and one second equals 80 feet.

Is feet per second velocity?

A unit of velocity and speed (scalar) is the foot per second (plural feet per second) (vector quantity, which includes direction). It represents the traveled or displaced distance in feet (ft) divided by the time (in seconds) (s).

\(\frac{14 miles}{1 h}\) × \(\frac{5280 ft}{1 mile}\)= \(\frac{73920 ft}{1 hr}\)

\(\frac{73920 ft}{1 hr}\) × \(\frac{1 hr}{60 min}\)= \(\frac{1232 ft}{1 min}\) ×\(\frac{1 min}{60s}\)= \(\frac{20.53ft}{1s}\)

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Answer:

the answer is 40:45

Step-by-step explanation:

i did the test and got it right

Answer:

NO WRONG (6T)(5S)+7 IS WRONG YOU ARE SOPOSED TO ADD THAT 6+5=11      11+7=18    18 DIVIDED BY 7=2.5

Step-by-step explanation:

SORRY FO CAPLOCK THAT HOW I TYPE SIR

Dispersion is generally measured by four types of measures, which are as follows:Range Variance Standard deviation Interquartile range As given in the options, mode is the measure of central tendency and not the measure of dispersion. Thus, the correct answer is,Option d: mode.

The given options are,group of answer choices standard deviation interquartile range range mode A measure of dispersion is a statistical term that defines the extent to which numerical data deviates from the mean or median value, which is generally measured with respect to central tendency. It is an important concept in statistics that is used to determine the spread of the given data set. Dispersion is generally measured by four types of measures, which are as follows:Range Variance Standard deviation Interquartile range As given in the options, mode is the measure of central tendency and not the measure of dispersion. Thus, the correct answer is,Option d: mode.

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The standard deviation, interquartile range, and range are measures of dispersion, which illustrate the spread of values in a dataset. The mode, being the most frequently occurring value in a dataset, is a measure of central tendency and not dispersion.

The student has asked which among standard deviation, interquartile range, range, and mode is not a measure of dispersion. Dispersion in statistics refers to the spread of a dataset, i.e., how widely distributed the data is around a central value. Measures of dispersion include the standard deviation, which describes how far data values are from the mean, the interquartile range, which represents the range of the middle 50 percent of the data values, and the range, that represents the difference between the highest and the lowest data value.

However, the mode is not a measure of dispersion. Instead, it is a measure of central tendency. The mode identifies the most frequently occurring value or values in a dataset. Therefore, the mode is the correct answer to the question as it is not a measure of dispersion within a dataset.

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Answer: 1 in 2 chance

Step-by-step explanation:

The Difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.

To find the difference in the amounts that Tsion and Ibrahim paid for their watches, we need to convert the prices to the same currency. We can use the exchange rates given to convert both prices to pounds.

1 Singapore dollar = £0.58

72 Singapore dollars = 72 x £0.58 = £41.76

1 Hong Kong dollar = £0.09

399 Hong Kong dollars = 399 x £0.095 = £37.91

Therefore, Tsion paid £41.76 for the watch and Ibrahim paid £37.91 for the same model of watch.

To find the difference in the amounts paid, we can subtract the smaller amount from the larger amount:

£41.76 - £37.91 = £3.85

Therefore, the difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.

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Answer:

If you want you can join my zoom meeting so you can explain better?

i would be happy to help!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

no protractor needed. It's C. for future reference. Obtuse triangles will always be >90°. if the answer was B the triangle woul look more like a wider right angle. Since this picture looks close to 180° it's safe predict the answer is C