(2x^(2)+5x+8)/(x+2) by using the synthetic formula

Answer:   -18b + 72

Step-by-step explanation:

6(12 - 3b)

= 6(12) + 6(-3b)

= 72 - 18b

= -18b + 72

There are 169,322,412 solutions to the equation a + b + c + d + e = 485, where each variable is an integer that is at least 10.

To solve this problem, we can use the concept of stars and bars (or balls and urns). The stars and bars method is used to find the number of non-negative integer solutions to an equation of the form a₁ + a₂ + ... + aᵣ = n, where aᵢ represents non-negative integers.

In this case, we have the equation a + b + c + d + e = 485, with the constraint that each variable (a, b, c, d, e) is at least 10. We can introduce a new set of variables a' = a - 10, b' = b - 10, c' = c - 10, d' = d - 10, and e' = e - 10. This transformation ensures that each variable is now a non-negative integer.

Substituting these new variables into the equation, we get:

(a' + 10) + (b' + 10) + (c' + 10) + (d' + 10) + (e' + 10) = 485

Rearranging the equation, we have:

a' + b' + c' + d' + e' = 435

Now, we can apply the stars and bars method to find the number of non-negative integer solutions to this equation. The formula is given by:

Number of solutions = (n + r - 1) choose (r - 1)

where n is the total number to be partitioned (435 in this case) and r is the number of variables (5 in this case).

Using the formula, we have:

Number of solutions = (435 + 5 - 1) choose (5 - 1)

= 439 choose 4

Evaluating this expression:

Number of solutions = (439 * 438 * 437 * 436) / (4 * 3 * 2 * 1)

= 169,322,412

Therefore, there are 169,322,412 solutions to the equation a + b + c + d + e = 485, where each variable is an integer that is at least 10.

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Answer:

Step-by-step explanation:

b-73=-53

b=-53+73

b=+73-53

b=73-53

b=20

Answer:

A

Step-by-step explanation:

This should Help

No respectable scientists are astrologers can be translated into symbolic logic as follows:

∀x [(Rx ∧ Sx) → ¬Ax]

Let's break down the sentence:

- Rx: x is respectable.

- Sx: x is a scientist.

- Ax: x is an astrologer.

The statement "No respectable scientists are astrologers" can be translated as follows:

For all x, if x is both respectable (Rx) and a scientist (Sx), then x is not an astrologer (¬Ax).

In other words, every individual x who is both respectable and a scientist cannot be an astrologer.

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the most accurate statement comparing LDA and ODA in terms of the bias-variance trade-off would be that LDA generally has lower variance and moderate bias, while ODA tends to have higher variance and lower bias.

LDA (Linear Discriminant Analysis) and ODA (One-Dimensional Analysis) are both techniques used in machine learning and statistical analysis, but they differ in their approach to the bias-variance trade-off.

The bias-variance trade-off refers to the trade-off between the bias of a model (error due to overly simplistic assumptions) and the variance of a model (error due to excessive complexity). A model with high bias may underfit the data, while a model with high variance may overfit the data.

In terms of the bias-variance trade-off, LDA tends to have low variance and moderate bias. It assumes that the data is normally distributed and that the class covariance matrices are equal. LDA attempts to find a linear combination of features that maximally separates the classes. However, LDA makes strong assumptions about the data distribution, which may limit its flexibility and result in bias.

On the other hand, ODA, also known as univariate analysis or one-dimensional analysis, typically has higher variance and lower bias compared to LDA. ODA considers each feature independently, disregarding any interdependencies among the features. By examining each feature individually, ODA allows for more flexibility and may capture complex relationships in the data. However, this flexibility can lead to higher variance, making ODA more prone to overfitting if the dataset is small or noisy.

Therefore, the most accurate statement comparing LDA and ODA in terms of the bias-variance trade-off would be that LDA generally has lower variance and moderate bias, while ODA tends to have higher variance and lower bias.

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Answer:

3 bags

Step-by-step explanation:

Since the avocados come in bags of 5, she will need to buy 3 bags. This will give her 15 avocados which is more than the 12 avocados that she needs but we have to buy 3 bags or else she won't have enough. So she will just have 3 avocados left over.

hope that made sense lol but I know the answer is 3 bc u can't buy half a bag. <3

Answer:

Well elimination is basically multiplying a number to make it possible for it to cancel out

We can multiply the first equation by 2

2(x+2y=-1)

This would be

2x+4y=-2

Its still the same thing but just with non simplified numbers

We can now do any method really to solve

I will just do the subtraction method

2x+4y=-2

-2x+y=4

Solve

2x-2x=0

4y-y= 3y

-2-4= -6

3y= -6

Now solve

y=-2

To find x subsitute in “y” and find ”x”.

x+2*-2=-1

x-4=-1

x=3

y= -2

x= 3

Answer:

-2

Step-by-step explanation:

4 + negative 2 (or -2) = 2

Answer:

18 Superfícies  

Step-by-step explanation:

Answer:

Its D

Square the term number, multiply the result by 3, subtract the term number, and divide the result by 2

[tex]3^{2}+2^{2}=d^{2}[/tex]

Answer:

I cant see the photo sorry

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100

Answer:

Length= squre root of area

Length of big poster = squre root of 144

=12

Length of small poster=squre root of 100

=10

The perimeter = 4*length

Big poster perimeter=4*12=48

Small poster perimeter =4*10=40

The difference= 48 - 40 = 8

It is bigger by 8

Answer:

Step-by-step explanation:

16x²+14x+3

=16x²+8x+6x+3

=8x(2x+1)+3(2x+1)

=(2x+1)(8x+3)

a) Interpret β1: Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO2max. Option B is correct.

b) The expected value of VO2max when weight is 76 kg, age is 25 yr, walk time is 14 min, and heart rate is 138 b/m is 3.682 L/min. Option A is correct.

c) The probability that VO2max will be between 0.59 and 2.03 for a single observation made when the values of the predictors are as stated in part (b) is 0.0000. Option D is correct.

a) Interpret β1: Holding all other variables constant, a 1 kg increase in weight will result in a 0.01 L/min decrease in VO2max.

Option B is correct.

b) To find the expected value of VO2max when weight is 76 kg, age is 25 yr, walk time is 14 min, and heart rate is 138 b/m.

We can calculate it by plugging the values in the regression equation as follows:

Y = 5.0 + 0.01x1 − 0.05x2 − 0.13x3 − 0.01x4 + ϵ

= 5.0 + (0.01 * 76) - (0.05 * 25) - (0.13 * 14) - (0.01 * 138)

= 3.682 L/min.

Hence, the expected value of VO2max when weight is 76 kg, age is 25 yr, walk time is 14 min, and heart rate is 138 b/m is 3.682 L/min.

Option A is correct.

c) To find the probability that VO2max will be between 0.59 and 2.03 for a single observation made when the values of the predictors are as stated in part (b).

We can find it by standardizing the values and using the Z table as follows:

z-score for 0.59 = (0.59 - 3.682) / 0.4

= -8.055z-score for 2.03

= (2.03 - 3.682) / 0.4

= -4.175P(0.59 < Y < 2.03)

= P(z-score between -8.055 and -4.175)

= P(z > 8.055) - P(z > 4.175)

≈ 0.0000 (from the Z table)

Hence, the probability that VO2max will be between 0.59 and 2.03 for a single observation made when the values of the predictors are as stated in part (b) is 0.0000.

Option D is correct.

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Answer:

B.) 12

Step-by-step explanation:

2+1/4 is the fraction and all values less than two are on the line.

1 brown circle represents 1 feather

there are 7 dots for 2+1/4

4 dots for 2

1 dot for 3/4

Hope that helps :)

Answer:

answer is B. Aka 12

Step-by-step explanation:

thanks mark brainliest…:) please.

Step-by-step explanation:

[tex]\sqrt[3]{4}[/tex][tex]\\\sqrt{3}[/tex]=[tex]\sqrt[6]{432}[/tex]

[tex]4^{1/3}[/tex][tex]3^{1/2}[/tex]=[tex]432^{1/6}[/tex]

Hope that helps :)

Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832

Answer: 208, 416, 832

The numbers double by itself

Step-by-step explanation:

13+13 = 26, 26+26 = 52, 52+52 = 104, 104+104=208 and so on

Answer: What is the warning for???? anyway your answer x= -3, x=-5

Step-by-step explanation:

Hope this helps you! Have a good day! :)

the answer should be 175

Answer:

the answer is rotation

hope this helps

Answer:

1.7x3.9=6.63 so each shaded area is 6.63 then add

Step-by-step explanation:

Answer:

The answer of this question is C

The following are the solutions of the given series:a)   The given series can be written as:(summation) n=3 to infinity of 6/(n+4) = 6[(1/7) + (1/8) + (1/9) +...].It is a p-series of p = 1, since 1 < p = 2. Hence, it is divergent. b)   The given series can be written as:(summation) n=2 to infinity of n/((Sq. root of n) +1) = (summation) n=2 to infinity of [n/((Sq. root of n) +1)] * [(Sq. root of n)-1]/[(Sq. root of n)-1].On solving this we get, (summation) n=2 to infinity of [(Sq. root of n)-1].This series is a p-series of p = 1/2, since p < 1. Hence, it is convergent. c)   The given series can be written as:(summation) n=1 to infinity of 1/ (Sq. root of n^4 +8) .This is a convergent series because it is similar to the p-series with p = 2. Therefore, the series is convergent. d)   The given series can be written as:(summation) n=2 to infinity of (-1)^(n-1) n/ ln/n .As per Alternating Series Test, this is an alternating series which is decreasing to 0, Hence, the series is convergent.

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According to the given information,

a. the series diverges.

b. the series diverges.

c. series is convergent

d. series is conditionally convergent

To determine the convergence or divergence of these series, we can analyze the behavior of the terms as n approaches infinity.

a. The series (summation) n=3 to infinity of 6/(n+4) can be rewritten as (summation) n=3 to infinity of 6/n.

As n approaches infinity, the term 6/n approaches zero. Since the harmonic series (1/n) is known to diverge, the given series also diverges.

b. The series (summation) n=2 to infinity of n/((Sq. root of n) +1) can be rewritten as (summation) n=2 to infinity of (n^(3/2))/(n + sqrt(n)).

As n approaches infinity, the term (n^(3/2))/(n + sqrt(n)) approaches (n^(3/2))/n = sqrt(n).

Since sqrt(n) increases without bound as n approaches infinity, the series diverges.

c. The series (summation) n=1 to infinity of 1/(Sq. root of (n^4 + 8)) can be rewritten as (summation) n=1 to infinity of 1/(n^2 + 8^(1/4)).

As n approaches infinity, the term 1/(n^2 + 8^(1/4)) approaches 0. Since the terms of the series approach zero as n approaches infinity, we need to investigate further.

By comparing the series to the p-series, we see that n^2 is larger than 1 for all n greater than or equal to 1. Therefore, the series (summation) n=1 to infinity of 1/(n^2 + 8^(1/4)) is convergent.

d. The series (summation) n=2 to infinity of (-1)^(n-1) n/ ln(n) can be analyzed using the alternating series test.

As n approaches infinity, the term n/ln(n) approaches infinity, and the series does not converge absolutely.

However, if we examine the behavior of the series using the alternating series test, we see that (-1)^(n-1) alternates between -1 and 1.

Additionally, the absolute value of n/ln(n) is a monotonically decreasing function as n increases.

Thus, the series is conditionally convergent by the alternating series test.

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The solution is : Option C, function is → f(x) = x + 2

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

From the table give in the picture,

Let the linear function represented by the table is,

f(x) = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of a line passing through two points (-2, 0) and (1, 3) will be,

m = y2 - y1 / x2 - x1

  = 1

Equation of the function will be,

f(x) = x + b

Since, a point (1, 3) lies on he given function,

3 = 1 + b

b = 3 - 1

b = 2

Therefore, function is → f(x) = x + 2

Option C will be the correct option.

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complete question:

X f(x)

-2 0

5. Which function matches the function table at the right?

A. f(x) = x+3

B.f(x) = 2x

C.f(x) = x + 2

D. f(x) = 4x - 1

Pls help

Answer:

The temperature on the moon at midnight was -250 degrees.

Step-by-step explanation:

235 - 485 = -250

Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.

The first derivative of y is y'(x) = C₁e^x + C₂(x + 1)e^x, and the second derivative of y is y''(x) = C₁e^x + C₂(2 + x)e^x.

To compute the first derivative, we apply the power rule and the product rule of differentiation. For y = C₁e^x + C₂xe^x, the derivative of the first term C₁e^x is C₁e^x, and the derivative of the second term C₂xe^x involves both the product rule and the chain rule.

Using the product rule, we differentiate C₂x and e^x separately, and then multiply them together. The derivative of C₂x is C₂, and the derivative of e^x is e^x. Then, we apply the chain rule to the second term, resulting in (x + 1)e^x. Therefore, the first derivative is y'(x) = C₁e^x + C₂(x + 1)e^x.

To compute the second derivative, we differentiate y'(x) with respect to x. Both terms in y'(x) involve the derivative of e^x, which is e^x. The derivative of C₁e^x is C₁e^x, and the derivative of C₂(x + 1)e^x involves the product rule and the chain rule similarly to the first derivative. Applying these rules, we find that y''(x) = C₁e^x + C₂(2 + x)e^x.

Therefore, the first derivative of y is y'(x) = C₁e^x + C₂(x + 1)e^x, and the second derivative is y''(x) = C₁e^x + C₂(2 + x)e^x.

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The shape of the distribution of per capita disposable income for the 25 randomly selected cities in a recent year can be described as skewed right.

To determine the shape of the distribution, we can examine the data and look for any noticeable patterns. In this case, we observe that the values for per capita disposable income generally increase as we move from left to right. This indicates a rightward skewness in the distribution.

Skewness refers to the asymmetry of a distribution. When a distribution is skewed right, the tail of the distribution extends towards the higher values, while the majority of the data tends to cluster towards the lower values. This suggests that there are few cities with relatively higher per capita disposable incomes, while the majority of cities have lower incomes.

In contrast, a bell-shaped distribution would indicate a symmetrical pattern with a peak in the center and an equal number of data points on both sides.

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The number of flower arrangement and the costs are illustrations of linear equation

If Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Represent the number of small arrangements with x, and the total cost with y.

Using the data from the question, we have:

Hampton Florist: y = 12x + 27.

Farid's Flowers: y = 32 + 7x

When both flower arrangements cost the same, we have the following equation

12x + 27 = 32 + 7x

Collect like terms

12x - 7x = 32 - 27

Evaluate the like terms

5x = 5

Divide both sides by 5

x = 1

This means that 1 small arrangement would cost the same in both flower shops

In (a), we have:

y = 12x + 27.

Substitute 1 for x

y = 12(1) + 27

y = 39

Hence, if Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

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