-2 (3x - 5) = - 6x + b

Answer:

27 feet squared

Step-by-step explanation:

You're given the area of the circle formula which is pi times radius squared.

We are given that the radius of the circle is 3.

3 squared is 9.

Do 3.14 or pi multiplied by 9 Originally but your directions tell you to use 3 as pi.

**It's simplified down to 3 x 9 because the directions tell you to use 3 as pi.**

The area is 27ft^2

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{12} }}}}}\)

Step-by-step explanation:

\( \sf{ \frac{5}{12} \times \frac{4}{20}}\)

To multiply one fraction by another, multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

\( \longrightarrow{ \sf{ \frac{5 \times 4}{12 \times 20}}} \)

\( \longrightarrow{ \sf{ \frac{20}{240}}} \)

\( \longrightarrow{ \sf{ \frac{1}{12} }}\)

Hope I helped!

Best regards! :D

The required midpoint of line CD is (0.5, -2.5).

Given that,
Midpoint of line CD is to be determined when point C is -3,-4 point D is 4,-1.

Coordinate, is represented as the values on x axis and y axis of graph

Here,
The coordinates of the midpoint of any line whose coodinates of end points are given as,
x = (x1 + x2)/2  and y = (y1 + y2)/2
Now, in the given
The coordinate of the end points of given line CD, C (-3,-4) point D is (4,-1).
Now the coordinate of the midpoint of line CD,
x = (-3 + 4) /2   :  y = (-1 -4) / 2
x = 0.5            :  y = -2.5

Thus, the required midpoint of line CD is (0.5, -2.5).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ1

The mass of the yoghurt is 101 g.

Dessert mass is 185 g

The ratio of the yoghurt is 2 : 3

Let 2x + 3x = 5x , 5x is the yoghurt mass is equal to 185 g

\( \bf \longrightarrow{5x = 185 }\\ \bf \longrightarrow{x = \frac{185}{5} } \\ \bf \longrightarrow{x = 37}\)

\(\therefore\) Mass of yoghurt = 3x

\( \bf \longrightarrow{3 \times 37 = 101g}\)

The maximum change in pressure (ΔPmax) of the sound wave is 2.24 Pa. The wavelength (λ)  is approximately 0.0182 m. The frequency (f) is  is approximately 18656 Hz. The speed is approximately 340 m/s.

The given equation for the sound wave is in the form ΔP = A sin(kx - ωt), where A represents the amplitude of the wave, k is the wave number (2π/λ), x is the position variable, ω is the angular frequency (2πf), and t is the time variable.

From the given equation, we can determine the values:

Amplitude (A) = 2.24 Pa

The wave number (k) is given by the coefficient in front of the x variable, which is 54.87\(m^(-1)\). Therefore, the wavelength (λ) can be determined by taking the reciprocal of the wave number: λ = 1/k ≈ 0.0182 m.

The angular frequency (ω) is given by the coefficient in front of the t variable, which is 18656 s\(^(-1)\). The frequency (f) is then determined by dividing ω by 2π: f = ω/2π ≈ 18656 Hz.

The speed of the sound wave (v) can be calculated by multiplying the wavelength (λ) and the frequency (f): v = λ * f ≈ 0.0182 m * 18656 Hz ≈ 340 m/s.

Therefore, the maximum change in pressure (ΔPmax) is 2.24 Pa, the wavelength (λ) is approximately 0.0182 m, the frequency (f) is approximately 18656 Hz, and the speed of the sound wave (v) is approximately 340 m/s.

Learn more about speed here:

https://brainly.com/question/30461913

#SPJ11

Therefore, the probability of landing on a 4 then landing on a 5 is 1/30 or approximately 0.0333.

Probability is a mathematical concept that measures the likelihood of an event occurring. It is represented as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probabilities between 0 and 1 indicate the degree of uncertainty about whether the event will occur or not.

To answer this question, we need to know the number of equally likely outcomes when spinning the spinner twice and the number of outcomes that result in landing on 4 then 5.

Assuming the spinner has six equally likely outcomes numbered 1 through 6, the total number of outcomes when spinning the spinner twice is 6 x 6 = 36.

The probability of landing on a 4 on the first spin is 1/6. Assuming that a 4 is spun on the first spin, there are now five possible outcomes for the second spin, one of which is a 5. Therefore, the probability of landing on a 4 then landing on a 5 is:

P (4 on first spin and 5 on second spin) = P(4 on first spin) x P(5 on second spin | 4 on first spin)

P (4 on first spin and 5 on second spin) = (1/6) x (1/5) = 1/30

Therefore, the probability of landing on a 4 then landing on a 5 is 1/30 or approximately 0.0333.

To Learn more about Probability, visit:

https://brainly.com/question/31120123

#SPJ1

According to the solving the value of the given function g(n) = -n² -1 h(n) = -2n + 2:

(g o h)(n)  = 2n³ +4n -2.

A function is described as a relationship between a group of inputs with one output each. A function is, to put it simply, a relationship between inputs in which each input is connected to exactly one output.

A function is defined technically as a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.

g(n) = -n² -1 h(n) = -2n + 2

find  (g o h)(n)

We can write it as:

g o h = g  x h

         = (-n² -1) x (-2n + 2)

        = 2n³ + 2n +2n -2

       = 2n³ +4n -2

According to the solving the value of the given function g(n) = -n² -1 h(n) = -2n + 2:

(g o h)(n)  = 2n³ +4n -2.

To learn more about function visit:

https://brainly.com/question/21145944

#SPJ13

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Visual artifacts are anomalies apparent during visual representation as in digital graphics and other forms of imagery, especially photography and microscopy.

The quadrilateral with no pair of parallel sides is trapezium

Given data ,

A = a quadrilateral with no pair of parallel sides

This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.

In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ1

Answer:

12,500

Step-by-step explanation:

I got it right on my quiz...

If you don't want to trust me okay but I promise it is... and the other person is also right, I'm not trying to upstage you

Answer: (12,500)

1000% Correct. Pls, give me brainliest. Thank You!

False. The statement is not entirely accurate. While significantly different sample variances can impact the assumptions of a t-test, it does not necessarily mean that a t-test cannot be conducted.

In traditional t-tests, there is an assumption of equal variances between the compared groups or populations. This assumption is known as the assumption of homogeneity of variances. If the sample variances are significantly different, it violates this assumption.

However, there are alternative versions of the t-test that can be used when the variances are not equal, such as the Welch's t-test or the modified t-test. These tests do not assume equal variances and can be applied when the variances are significantly different.

Therefore, it is possible to conduct a t-test even when the sample variances are significantly different, using appropriate modifications to the test. However, it is essential to consider the validity and appropriateness of the chosen test based on the specific circumstances and assumptions of the data.

Learn more about t-test here:

https://brainly.com/question/30818311

#SPJ11

For the skeptical paranormal researcher who claims that the proportion of Americans that have seen a UFO, p, is less than 2 in every one thousand, the null hypothesis and the alternate hypothesis can be expressed as follows :

Null hypothesis (H0): p ≥ 0.002

Alternative hypothesis (H1): p < 0.002

H0: The null hypothesis: It is a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

Ha: The alternative hypothesis: It is a claim about the population that is contradictory to H0 and what we conclude when we reject H0.

For the skeptical paranormal researcher's claim that the proportion of Americans that have seen a UFO (p) is less than 2 in every one thousand, we can express the null hypothesis (H0) and the alternative hypothesis (H1) as follows:

Null hypothesis (H0): p ≥ 0.002 (meaning the proportion of Americans who have seen a UFO is greater than or equal to 2 in every one thousand)

Alternative hypothesis (H1): p < 0.002 (meaning the proportion of Americans who have seen a UFO is less than 2 in every one thousand)

To learn more about null hypothesis visit : https://brainly.com/question/25263462

#SPJ11

Step-by-step explanation:

The formula for exponetial equation decay is

\(y = a(b) {}^{x} \)

where a is the initial value and b is the decay factor.

A will be 56 since that our initial value.

b will be 0.9 since we are constantly decaying by 0.9.

so our equation is

\(y = 56(0.9) {}^{x} \)

The probability that a 3 will be rolled would be 0.125 and the expected number of 6's roll would be 68.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The events' estimated probabilities are as follows, according to the exponential probability theory:

P(3) = 0. 125

P(6 in 500 rolls) = 68 rolls

Number of times event occurs / number of trials

A number of attempts = sum of frequency:

(12+35+11+23+7+12) = 88

So the probability that a 3 will be rolled as

⇒ number of 3's / number of attempts

⇒ 11/88 = 0.125

The number of 6's probable in 500 rolls

⇒ (12 /88) × 500

⇒ 68.18 = 68

Therefore, the expected number of 6's roll would be 68.

To know more about probability check the below link:

https://brainly.com/question/11234923

#SPJ1

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

Answer: C

Step-by-step explanation:

234.4 .zmmansbdhdgdgddhdhdd

Answer:

\(t \: = \: 36.86 \: hrs.\)

Step-by-step explanation:

\(if \: A = p(2) {}^{ \frac{t}{3} } \: then \: \frac{t}{3} \: = log_{2}( \frac{A}{p} ) \\ so \: \frac{t}{3} = log_{2}( \frac{1.0 \times {10}^{6} }{2.0 \times {10}^{2} } ) = \\ \frac{t}{3} = 12.2877 \: hence \: t \: is \: 12.2877 * 3 = 36.8631 \)

A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.

The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.

The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.

To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.

Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.

Learn more about correlation coefficient here:

https://brainly.com/question/29704223

#SPJ11

So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A  so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B

The percent yield of the reaction is approximately 63.16%.

To calculate the percent yield, we need to compare the actual yield of p-bromoacetanilide to the theoretical yield.

First, let's calculate the number of moles of acetanilide using its molar mass:

Number of moles of acetanilide = Mass of acetanilide / Molar mass of acetanilide

= 15 g / 135.17 g/mol

= 0.111 mol

The balanced chemical equation for the reaction is:

Acetanilide + NaOCI + NaBr -> p-bromoacetanilide

From the balanced equation, we can see that the stoichiometric ratio between acetanilide and p-bromoacetanilide is 1:1.

Therefore, the theoretical yield of p-bromoacetanilide is also 0.111 mol.

Next, we can calculate the mass of the theoretical yield using the molar mass of p-bromoacetanilide:

Mass of theoretical yield = Number of moles of p-bromoacetanilide × Molar mass of p-bromoacetanilide

= 0.111 mol × 214.06 g/mol

= 23.75 g

Now, we can calculate the percent yield:

Percent Yield = (Actual Yield / Theoretical Yield) × 100

Given that the actual yield is 15 g, we substitute the values into the formula:

Percent Yield = (15 g / 23.75 g) × 100

Calculating the value:

Percent Yield ≈ 63.16%

Therefore, the percent yield of the reaction is approximately 63.16%.

To know more about reaction refer here:

https://brainly.com/question/16737295#

#SPJ11

The balance on the credit card on the 30 th day of the billing cycle is A.$3, 267.24

We can use the formula for daily compounded interest :

\(A = P * (1 + (r/n))^ {(nt)}\)

The APR (Annual Percentage Rate) is the annual interest rate, and it's given as 25.31%, or 0.2531 in decimal form. Since the interest is compounded daily, n is 365 (the number of days in a year).

The balance on the credit card is therefore :

\(A = 3200 * (1 + (0.2531/365))^{( (30))}\\A = 3200 * 1.0006935616^{10.9589041}\\\)

A = 3200 x 1. 0076

A = $3, 267.24

So, the balance on the 30th day of the billing cycle would be approximately $3, 267.24.

Find out more on credit card balance at https://brainly.com/question/2113394

#SPJ1

Step-by-step explanation:

61 degree

180 _ 58 =122

122 is the sum of the two angles

If we divide 122 by 2 we'll get 61

Answer:

61°

Step-by-step explanation:

hope this helps! :D

The puck travelled a distance of 53.8 meters when the puck is 120 centimeters before the opponent's goal and puck travelled a distance of 56.2 meters when the puck is 120 centimeters after the opponent's goal.

Given that the distance to the opponent's goal from the player's current position is 55 meters. And after the shot, the puck is 120 centimeters from his opponent's goal.

We need to find out how many meters the puck travelled.

Also given there are 100 centimeters in 1 meter.

So, 55 meters = 55 × 100 centimeters

⇒ 55 metets = 5500 centimeters

Now, we are given that the puck is 120 centimeters from the opponent’s goal. It is not clear whether the puck landed before or after the goal post. So, considering both cases.

Case 1: the puck is 120 centimeters beyond the opponent's goal.

So, the distance travelled by the puck is

5500 centimeters + 120 centimeters = 5620 centimeters

Divide 5620 by 100 to convert centimeters to meters.

The puck travelled a distance of 5620 cm or 56.2 meters.

Case 2: the puck is 120 centimeters before the opponent's goal.

So, the distance travelled by the puck is

5500 centimeters - 120 centimeters = 5380 centimeters

Divide 5380 by 100 to convert centimeters to meters.

The puck travelled a distance of 5,380 cm or 53.8 meters.

Learn more at:

https://brainly.com/question/18691573

#SPJ9

The roots of the equation will be imaginary. Then the number of real solutions will be zero.

The discriminant represents the types of the root. And the discriminant (D) of the equation ax² + bx + c = 0 is given as

D = b² - 4ac

The type of roots will be given below.

The equation is given below.

x² + 4x + 5 = 0

The discriminant of the given equation will be

D = 4² - 4 x 1 x 5

D = 16 - 20

D = - 4

D < 0

The roots of the equation will be imaginary. Then the number of real solutions will be zero.

More about the discriminant link is given below.

https://brainly.com/question/15884086

#SPJ1

Answer:

>

Step-by-step explanation:

Cause 750 was the least they could raise

Answer:

>=

Step-by-step explanation:

>= because the teacher wants AT LEAST 750. at least meaning you can raise 750 or MORE

In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.

The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.

Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.

A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.

It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.

The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.

The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.

For similar question on hypothesis.

https://brainly.com/question/12416923

#SPJ11