What is the 50th term in the sequence whose recursive definition is yn = -Yn-1 with y = -14?

Answer: yes

Step-by-step explanation: the answer is yes

Answer:

predict the impact of removing snakes from this food web

Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

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Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

1) the critical numbers for \(f(x) = 3x^4 + 8x^3 - 48x^2\) are \(x = 0\), \(x = 2\), and \(x = -4\).

2) the critical numbers for \(f(x) = \frac{2x - 1}{x^2 + 2}\) are \(x = 2\) and \(x = -1\).

3) To find the critical numbers, we set the derivative equal to zero and solve for \(x\):

\(2\sin(x)(\cos(x) - 1) = 0\)

To find the critical numbers of a function, we need to find the values of \(x\) where the derivative of the function is either zero or undefined. Let's find the critical numbers for each function:

1) \(f(x) = 3x^4 + 8x^3 - 48x^2\)

First, we need to find the derivative of \(f(x)\):

\(f'(x) = 12x^3 + 24x^2 - 96x\)

To find the critical numbers, we set the derivative equal to zero and solve for \(x\):

\(12x^3 + 24x^2 - 96x = 0\)

Factoring out \(12x\):

\(12x(x^2 + 2x - 8) = 0\)

Using the zero product property, we have two cases:

Case 1: \(12x = 0\)

This gives us \(x = 0\) as a critical number.

Case 2: \(x^2 + 2x - 8 = 0\)

This quadratic equation can be factored as \((x - 2)(x + 4) = 0\).

So we have two additional critical numbers: \(x = 2\) and \(x = -4\).

Therefore, the critical numbers for \(f(x) = 3x^4 + 8x^3 - 48x^2\) are \(x = 0\), \(x = 2\), and \(x = -4\).

2) \(f(x) = \frac{2x - 1}{x^2 + 2}\)

First, we find the derivative of \(f(x)\) using the quotient rule:

\(f'(x) = \frac{(2)(x^2 + 2) - (2x - 1)(2x)}{(x^2 + 2)^2}\)

Simplifying:

\(f'(x) = \frac{2x^2 + 4 - 4x^2 + 2x}{(x^2 + 2)^2}\)

\(f'(x) = \frac{-2x^2 + 2x + 4}{(x^2 + 2)^2}\)

To find the critical numbers, we set the derivative equal to zero and solve for \(x\):

\(-2x^2 + 2x + 4 = 0\)

We can divide both sides by -2 to simplify the equation:

\(x^2 - x - 2 = 0\)

Factoring the quadratic equation:

\((x - 2)(x + 1) = 0\)

Using the zero product property, we have two critical numbers: \(x = 2\) and \(x = -1\).

Therefore, the critical numbers for \(f(x) = \frac{2x - 1}{x^2 + 2}\) are \(x = 2\) and \(x = -1\).

3) \(f(x) = 2\cos(x) + \sin^2(x)\)

To find the critical numbers, we need to find the derivative of \(f(x)\):

\(f'(x) = -2\sin(x) + 2\sin(x)\cos(x)\)

Simplifying:

\(f'(x) = 2\sin(x)(\cos(x) - 1)\)

To find the critical numbers, we set the derivative equal to zero and solve for \(x\):

\(2\sin(x)(\cos(x) - 1) = 0\)

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Therefore, the nerf reaches its maximum height at 1.75 seconds after it is launched.

In mathematics, a function is a rule that assigns to each element in a set (called the domain) exactly one element in another set (called the range). The domain and range can be any set, including numbers, and the function itself can be a formula, a graph, or described in words. Functions are widely used in various fields of mathematics, science, and engineering to describe relationships between variables and analyze data.

Here,

It looks like there is a mistake in the function definition provided, as it is missing an independent variable. Assuming the correct function is:

h(t) = -16t² + 56t + 142

To find the time at which the nerf reaches its maximum height, we need to find the vertex of the parabolic function defined by h(t). The x-coordinate of the vertex gives us the time at which the maximum height is reached.

The x-coordinate of the vertex is given by:

t = -b/2a

where a = -16 and b = 56. Substituting these values, we get:

t = -56 / 2(-16) = 1.75

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Answer:

Im fairly sure the equation is D, a+5=11

Step-by-step explanation:

Kate has gone up 11 times and 5 more times than Andre, so 11-5 HAS to be the amount of times Andre has gone up.

If we reorganise this equation then we get a+5=11

Answer:

I hope this helps you! Good luck!

Using the discounted amount and percentage, the actual price is £21.25

Let's first calculate the price of the trainers after the discount.

The trainers were priced at £38, and there was a 15 percentage loyalty discount. To calculate the discounted price, we need to subtract 15% of £38 from £38.

Discounted price of the trainers = £38 - (15/100) * £38

Discounted price of the trainers = £38 - 0.15 * £38

Discounted price of the trainers = £38 - £5.70

Discounted price of the trainers = £32.30

Now, we know that the total price for the watch and trainers combined after the discount is £53.55.

Total price after discount = Price of the watch + Discounted price of the trainers

£53.55 = Price of the watch + £32.30

To find the price of the watch, we subtract the discounted price of the trainers from the total price:

Price of the watch = £53.55 - £32.30

Price of the watch = £21.25

Therefore, the price of the watch before the discount is £21.25.

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Answer:

there is a 0.02 or 2% difference

Answer:

8% is 2% more than 6%

Step-by-step explanation:

Let's say the total is 100.

8% of 100 is 8.

6% of 100 is 6.

8 - 6 is 2.

2 is 2% of 100.

The Recurrence Relation T(n) for T(n) = 2n.T(n-1) + 12 2 is:

T(n) = 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0) = 2^n * n! * T(0).

To solve the given recurrence relation T(n) = 2n * T(n-1) + 12, we can use iteration or expansion methods. Let's use the expansion method to find an explicit formula for T(n).

Expanding the recurrence relation, we have:

T(n) = 2n * (2(n-1) * T(n-2) + 12) + 12

= 2n * 2(n-1) * T(n-2) + 2n * 12 + 12

= 2n * 2(n-1) * (2(n-2) * T(n-3) + 12) + 2n * 12 + 12

By continuing this process, we can observe a pattern. Each term in the expansion will be of the form 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0), where T(0) is the initial term.

The number of factors of 2 will depend on the value of n. We can see that for each term, the number of factors of 2 is n! (n factorial). Therefore, the explicit formula for T(n) is:

T(n) = 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0) = 2^n * n! * T(0).

In this case, T(0) represents the initial term of the sequence. Without knowing its value, we cannot provide a specific numerical solution. However, the above formula provides a general expression for T(n) in terms of n and T(0), satisfying the given recurrence relation.

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

When fractions have the same denominator, we say they have common denominators. Having common denominators makes things like comparing, adding, and subtracting fractions easier.

Step-by-step explanation:

Hope I helped have a good day

Also can you mark me as brainliest?? please

Answer:

Because n order to add fractions, the fractions must have a common denominator. We need the pieces of each fraction to be the same size to combine them together these two fractions have the same denominator, so the equal parts that the whole has been split into are the same size.

Step-by-step explanation:

The probability that the committee has exactly two woman is 0.1758.

Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.The ratio of the favorable outcomes to the all possible outcomes.

Given that, 4 women and 5 men are eligible to serve on a committee.

A committee of 3 is randomly selected.

Choosing 2 women out of 3 women is

³\(C_{2}\)

= 3

Choosing 1 men out of  5 men is

5C1

= 5

Total number of eligible person is = (4+5)=9

Choosing 3 member out of 9 member is

9C3

=84

The required  probability is

=3*5/84

0.1785

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Answer:

B

Step-by-step explanation:

The explanation is attached below.

Answer:

0.414

Step-by-step explanation:

     0. 4 1 4

2 5 1 1 0 4. 0 0 0

   − 0          

     1 0        

   −   0        

     1 0 4      

   −     0      

     1 0 4 0    

   − 1 0 0 4    

         3 6 0  

       − 2 5 1  

         1 0 9 0

       − 1 0 0 4

             8 6

(I don't know if this model helps? Its my first time trying this technique online.)

Answer:

it is b

Step-by-step explanation:

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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Part 1:

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point. E.g. Triangle P has been reflected in the line x = 4 x=4 x=4 to give Triangle Q.

Part 2:

1,10) is the glide reflection of point A(-5,-4).

Answer:

18

Step-by-step explanation:

24 - (3 * 2)

The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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Answer:

Step-by-step explanation:

6x + ( 14x - 5 ) + ( 17 - 3x )

= 17x + 12

- ( 2 - x ) -3 ( 6 + 8x ) -12,

= -23x - 32

( 4x - 9 ) + 8 ( 2x + 3 ) -7x

= 13x +15

Answer:

(f-g)(x)  =  - 3 x² + 3 x -6

Step-by-step explanation:

Explanation:-

Given function f(x) = x² + x - 5

                      g(x) = 4 x² - 2 x + 1

(f-g)(x)   =  f(x) - g(x)

            =  x² + x - 5 - (4 x² - 2 x + 1)

            = x² - 4 x² + x + 2 x - 5 -1

            =  - 3 x² + 3 x -6

(f-g)(x)  =  - 3 x² + 3 x -6

The image after the dilation is A' (-2,2) and (4,4)

Here, we have a pre-image with the endpoints A(-4,4) and B(8,8) and we want to find the image after dilation using the scale factor

To find its image after a dilation, we simply multiply the scale factor with each number on the coordinate

Thus, we have

A' as (-2,2) and B' as (4,4)

To plot the image, we can locate these coordinates and join them together and label them as A' and B'

The observed number of peas with red flowers (685) is significantly higher than the expected number (677.25) if the assumed probability of 3/4 is correct. This suggests that the scientist's assumption may be incorrect and there may be other factors at play influencing flower color in peas. Further investigation is needed to determine the true probability and understand the underlying factors affecting flower color in peas.

a. If the scientist's assumed probability is correct, we can use the binomial distribution to calculate the probability of getting 685 or more peas with red flowers. Using the binomial probability formula, we sum up the probabilities of getting 685, 686, 687, and so on, up to 903 peas with red flowers. This gives us the cumulative probability.

b. To determine if 685 peas with red flowers is significantly high, we compare the calculated probability from part (a) to a predetermined significance level (e.g., 0.05). If the calculated probability is less than the significance level, we can conclude that the observed result is significantly different from what was expected.

c. The results suggest that the scientist's assumption that 3/4 of peas will have red flowers may be incorrect. The observed number of peas with red flowers (685) is significantly higher than the expected number (677.25). This indicates that there may be other factors at play that influence flower color in peas, or that the assumption of a 3/4 probability of red flowers is inaccurate. Further investigation and experimentation would be necessary to determine the true probability and understand the underlying factors affecting flower color in peas.

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The use and interpretation of an R or s chart are critical when examining an X-bar chart because they provide additional information about the variation within the subgroups. This allows for a more comprehensive analysis of the process and helps identify any issues or sources of variability.

When using an X-bar chart, the focus is on monitoring the process mean or average. However, the X-bar chart alone does not provide information about the variation within the subgroups. This is where the R or s chart comes into play. The R chart measures the range of values within each subgroup, while the s chart measures the standard deviation.
By using an R or s chart alongside the X-bar chart, we can assess the variability within the subgroups and determine if it is stable over time. If the variation within the subgroups is high and unpredictable, it may indicate that the process is out of control or that there are sources of variation that need to be addressed. The R or s chart provides additional insights into the process performance and helps in identifying the presence of special causes of variation.
In summary, the use and interpretation of an R or s chart in conjunction with an X-bar chart allow for a more comprehensive analysis of process variation. This helps in understanding the stability and capability of the process and enables appropriate actions to be taken to improve quality and performance.

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Eh?..

\( \: \: \: \)

Answer:

Step-by-step explanation:

"jisoo"

j = 1

i = 1

s = 1

o = 2

\(p = \frac{n!}{k!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{120}{2} \)

P = 60 word order

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

"cantik"

c = 1

a = 1

n = 1

t = 1

i = 1

k = 1

\(p = n! = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

P = 720 word order

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

"sudah"

s = 1

u = 1

d = 1

a = 1

h = 1

\(p = 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

P = 120 word order

Grace

2 cups black paint + 1 cup white paint

percent of white paint = (cups white paint / total cups of paint) × 100 = (1/3)×100 = 33.3%

Chase

7 cups black paint + 3 cups white paint

percent of white paint = (cups white paint / total cups of paint) × 100 = (3/10)×100 = 30%

Grace's gray is lighter since it has a greater percentage of white paint