X^2-18x=65 solve x by completing the square

Answer:

Number 4: Using Pythagoras Theorem,

\(\sqrt{30^2+40^2} =50\)

Number 5:

\(\sqrt{41^2-40^2}=9\)

3:

\(\sqrt{11^2+60^2} =61\) It is a right triangle

4:

\(\sqrt{9^2+37^2} =38.09\) Not a right triangle

For the last one:

\(\sqrt{(\sqrt{20^2+6^2})^2+6^2} =2\sqrt{118}\)

Rounded down (because the answer needs to be a whole number) is 21

Answer:

$130

Hope I helped

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Answer:

it is option no d at least

cuz it is what it is

A important goal of inferential statistical analysis is to generalize results from the study to the target population (option c).

An important goal of inferential statistical analysis is to generalize the findings and results obtained from a study or sample to the larger target population. Inferential statistics involves making inferences, drawing conclusions, and making predictions about a population based on the analysis of a sample.

When conducting a study, it is often impractical or impossible to collect data from the entire population of interest. Instead, a sample is typically selected and studied. Inferential statistics helps researchers make inferences about the population based on the sample data.

By analyzing the sample data using inferential statistical techniques, researchers can estimate population parameters, test hypotheses, determine the significance of findings, and make predictions about the larger population. This allows for generalization of the findings and helps in making informed decisions and drawing conclusions that extend beyond the specific sample studied.

Options A, B, and D are also important goals in statistical analysis, but they are not specific to inferential statistics. Analyzing and describing data (option A) is a goal of descriptive statistics. Determining the validity of theoretical constructs (option B) and measuring the reliability and validity of measurement tools (option D) are goals related to assessing the quality and soundness of research instruments and constructs, but they do not specifically address the goal of generalizing results to a larger population. The correct option is c.

The complete question is:

An important goal of inferential statistical analysis is to:

A. analyze and describe data collected during a study.

B. determine whether theoretical constructs are valid.

C. generalize results from the study to the target population

D. measure the reliability and validity of measurement tools

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Answer:

130 grams

Step-by-step explanation:

Add the second amount which equals 150, and then subtract by 20.

Step-by-step explanation:

In Horace Walpole's The Castle of Otranto, the female characters are predominately presented as passive and emotionally fragile, particularly in contrast to their male counterparts. ... These gendered fictional representations reflect, influence, and perpetuate patriarchal attitudes toward women.

Answer:

5 x (4+y)

Step-by-step explanation:

Answer:

r = 68 km

Step-by-step explanation:

56 - 25 = 32

There is a 32 km difference between the two triangle so you would add 32 to 62...

32 + 36 = 68

r = 68 km

The probability of getting e's not next to each other is 0.05.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that the letters of the word `sixteen' are randomly arranged.

The arrangement of the e's not to come next to each other is, 3! and the total arrangement will be 5!

The probability will be calculated as,

P = (3!/5!)

P = (3x 2) / (5x4x3x2x1)

P = 1 / 20

P = 0.05

Therefore, the probability of getting e's not next to each other is 0.05.

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The rest allowance for chopping down a tree is 0.67 hours (rounded to two decimal places) or 40 minutes. In an 8-hour shift, approximately 40 minutes should be allowed for rest.

To calculate the rest allowance, we need to determine the energy expenditure for chopping down a tree and convert it into a time duration.

Given that the energy expenditure associated with chopping down a tree is 8.0 kcal/min, we can calculate the rest allowance using the following formula:

Rest allowance = Energy expenditure (kcal/min) * Time duration (min) / Energy content of food (kcal).

As the rest allowance is typically a fraction of the energy expenditure, we can use the value of 0.25 (25%) as the input for the rest allowance calculation.

Rest allowance = 8.0 kcal/min * Time duration (min) / Energy content of food (kcal) = 0.25.

Solving for the time duration, we find:

Time duration (min) = 0.25 * Energy content of food (kcal) / 8.0 kcal/min.

To determine the time duration in hours, we divide the time duration in minutes by 60:

Time duration (hours) = Time duration (min) / 60.

The specific energy content of food is not provided in the question. Therefore, without knowing the energy content, we cannot calculate the exact time duration for the rest allowance.

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Answer:

The answer is 7.199 x 10^4 hectares

Step-by-step explanation:

Let's set x as the total land area in 2017.

x * (1 + 6.4%) = 76,600

x * (1 + 0.064) = 76,600

x * 1.064 = 76,600

x = 76,600 / 1.064

x = 71,992.48

x = 7.199 * 10^4 hectares

Answer:Let's first break apart the problem!

Let x = adult tickets

Let y = child tickets

We know from the problem that a total of 336 tickets were sold.

x + y = 336

We also know from the problem the total profit was $4675. We also know that the adult tickets were $15 per ticket and the child tickets were $10 per ticket.

15x + 10y = 4675

Now we need to combine our two-equation by making a common variable. Let's multiply our first equation by 10 and then combine the two equations.

10x + 10y = 3360

Now lets combine the equations

15x 10y = 4675

-10x - 10y = -3360

to get

5x = 1315

x = 263

Therefore there were 263 adult tickets sold.

Let's set some variables:

Now lets set up the system of equation:

.a + c = 378   --> 14a + 14c = 5292

14a + 6c = 4252

After solving the system of equation, you would get that

a = 248  and  c = 130

That means the theater sold 240 adult tickets and 130 child tickets

Hope that helps!

Answer:

x= 18

y =45

Step-by-step explanation:

first these two angles are supplementary and add up to 180 degrees:

(6x+7) + (4x-7) = 180

find x:

10x = 180

x = 18

substitute x = 18 for the angle (6x+7)

now we know what 6x +7 =

6 (18) + 7 = 115

since angle 3y-20 = 115, solve for y

3y = 135

y = 45

Answer:

x = 18

y = 45

Step-by-step explanation:

1. First off, we know that the angle (4x-7) degrees and (6x +7) are supplementary angles because of the corresponding angles theorem. So we do: (4x-7) + (6x+7) = 180 which should get you x=18.

2. Now that you know the value of x, finding y should be pretty easy. Plug in x for (6x + 7) and you should get 115 degrees.

3. We know that the angle with (6x +7) measurement is a vertical angle to (3y-20), so we can do 3y -20 = 115.

4. find the value of y, which should be 45

Answer:

C

Step-by-step explanation:

Answer:

c is right answer... I am sure

Answer:

16373

Step-by-step explanation:

We are given the following geometric series:

3, 12, 48, 192....

And we want to find the sum of 7 terms.

The sum of n number of terms in a geometric series is \(S_n=\frac{t_1(1-r^n)}{1-r}\), where \(t_1\) is the first term, r is the common ratio, and n is the number of terms being added.

To get the common ratio, we can divide \(\frac{t_2}{t_1}\); as we already know, \(t_1\) is the first term, which is 3. \(t_2\) is the second term, which is 12.

So, the common ratio is 12/3 = 4

Since we are finding the sum of the first seven terms, n = 7.

We can plug what we know into the formula.

\(S_n=\frac{t_1(1-r^n)}{1-r}\)

\(S_7=\frac{3(1-4^7)}{1-4}\)

Plug the above into a calculator.

\(S_7 = 16383\)

So, the sum is 16383.

The result is 965996074012064, or approximately 9.66 x \(10^{14\).

The product of 52837848 and 18283943 is a very large number, which is difficult to calculate by hand. However, it is possible to obtain an approximate value using a calculator or a computer program.

Assuming that you meant to multiply these two numbers together, the result is 965996074012064, or approximately 9.66 x \(10^{14.\)

To put this number into perspective, it is larger than the number of seconds that have elapsed since the dawn of human civilization, which is estimated to be around 6 x \(10^{11\) seconds. In fact, this number is so large that it is difficult to conceptualize its magnitude.

In practical terms, this product may represent the result of a complex calculation in fields such as finance, engineering, or science. It could also represent the outcome of a mathematical or statistical model that requires a high degree of precision.

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Answer:

1. 36r+30

2. -4f-5

3. 40g-28

4. 14n+8

5. -8-8m

Step-by-step explanation:

Solve: (8r + 9) + 7(4r + 3) ( 1 )

8r+9+28r+21

=36r+30

Solve: (3f - 9) + (-7f + 4) ( 1 )

3f-9-7f+4

= -4f-5

Solve: -8(-g + 6) + 4(8g + 5) ( 1 )

8g-48+32g+20

=40g-28

Solve: 5(2n + 3) + (4n - 7) ( 1 )

10n+15+4n-7

=14n+8

Solve: 2(-4) + (-8m) ( 1 )

= -8-8m

Answer:

81

Step-by-step explanation:

5 times 6 is 30 times 3 is 90 - 9 is 81

Answer: either 24 or -24

The margin of error for the confidence interval with a 98% confidence level is 6.912. So, the correct answer is (f) 6.912. To find the margin of error of the confidence interval with a 98% confidence level for the scores of a standardized test, we'll follow these steps:

1. Identify the given values:
  - Population standard deviation (σ) = 12 points
  - Sample size (n) = 20 scores
  - Sample mean (x) = 99 points
  - Confidence level = 98%

2. Determine the appropriate z-score for a 98% confidence level. Since the remaining 2% is split evenly on both tails, we'll look for the z-value corresponding to 0.01 (1% in the tails). From the provided values, z0.01 = 2.576.

3. Calculate the standard error (SE) of the sample mean using the formula:
  SE = σ / √n = 12 / √20 ≈ 2.683

4. Calculate the margin of error (ME) using the formula:
  ME = z-score * SE = 2.576 * 2.683 ≈ 6.912

The margin of error for the confidence interval with a 98% confidence level is 6.912. So, the correct answer is (f) 6.912.

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The margin of error at a 98% confidence level is c) 5.259 points.

To determine the margin of error at a 98% confidence level, we need to calculate the critical value, which corresponds to the confidence level.

In this case, the critical value is 2.326, which can be found in the standard normal distribution table.

Therefore, the margin of error at a 98% confidence level is c) 5.259 points.

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Answer:

14

Step-by-step explanation:

20% of 70 is 14

The answer is

\(y = - \frac{1}{5} x - 1.2\)

or you can replace -1/5 with -0.2

follow the procedures in the attachment please.

On solving the provided question, we can say that trigonometry  equation that has a maximum at (0, –1) and a minimum at ((pi/3, -5)) is: y = 2cos(3x - 4pi/9) - 3

Trigonometry is the branch of mathematics that studies the relationship between triangle side lengths and angles. Due to the application of geometry in astronomical studies, the topic initially emerged in the Hellenistic era, about in the third century BC. Certain trigonometric functions and their potential applications in computations are covered by the branch of mathematics known as precise methods.

the equation of the cosine function that has a maximum at (0, –1) and a minimum at ((pi/3, -5)), we need to manipulate the general form of the cosine function, y = a cos(bx + c) + d, by adjusting the values of a, b, c, and d.

First, we know that the maximum of a cosine function occurs at (0, a + d), and the minimum occurs at ((pi/b - c)/b, -a + d). So, we can use these equations to determine the values of a, b, c, and d that produce the desired maximum and minimum.

Given that the maximum occurs at (0, –1), we know that a + d = –1. Setting a = 2 (so that the amplitude is 2) gives us d = –3.

Now, we need to find a value of b and c that produce the desired minimum at ((pi/3, -5)). Using the equation for the minimum, we get:

\(-2cos(3(pi/3) + c) - 3 = -5\\cos(pi + 3c) = 1/2\)

pi + 3c = 2npi ± pi/3 (where n is an integer)

\(3c = (6n ± 1)pi/3 - pi\\c = (2n ± 1)pi/9 - pi/3\)

We can set n = 0 and choose the negative solution for c to get:

c = -pi/3 - pi/9 = -4pi/9

Therefore, the equation that has a maximum at (0, –1) and a minimum at ((pi/3, -5)) is:

y = 2cos(3x - 4pi/9) - 3

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Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

Answer:

y = 4 x - 3

Step-by-step explanation:

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (4, 13)

point: p_2 = (2, 5)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (5 - 13)/(2 - 4) = (-8)/(-2) = 4

Substitute the slope m = 4 and point (x_1, y_1) = (4, 13) into the point-slope equation y - y_1 = m (x - x_1):

y - 13 = 4 (x - 4)

Add 13 to both sides:

y = 13 + 4 (x - 4)

Distribute: 4 (x - 4) = 4 x - 16:

Answer:  y = 4 x - 3

The approximation of I using the simple Simpson's rule is approximately values -0.3255s.

To approximate the integral I = ∫(scos(x² + 2) dx) using the simple Simpson's rule, to divide the interval of integration into an even number of subintervals and apply the Simpson's rule formula.

The interval of integration into n subintervals. Then the width of each subinterval, h, is given by:

h = (b - a) / n

The interval limits are not provided the interval is from a = -1 to b = 1.

Using the simple Simpson's rule formula, the approximation

I = (h / 3) × [f(a) + 4f(a + h) + f(b)]

calculate the approximation using n = 2 (which gives us three subintervals: -1 to -0.5, -0.5 to 0, and 0 to 1).

First, calculate h:

h = (1 - (-1)) / 2

h = 2 / 2

h = 1

evaluate the function at the interval limits and the midpoint of each subinterval:

f(-1) = s ×cos((-1)²+ 2) = s ×cos(1) =s × 0.5403

f(-0.5) = s ×cos((-0.5)² + 2) = s × cos(2.25) = s × -0.2752

f(0) = s × cos(0² + 2) = s ×cos(2) = s ×-0.4161

f(0.5) = s × cos((0.5)² + 2) = s × cos(2.25) = s ×-0.2752

f(1) = s ×cos(1² + 2) = s × cos(3) = s × -0.9899

substitute these values into the Simpson's rule formula:

I = (1 / 3) ×[s × 0.5403 + 4 × s ×-0.2752 + s × -0.4161]

I = (1 / 3) × [0.5403 - 1.1008 - 0.4161]

I = (1 / 3) × [-0.9766]

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