Which equation is quadratic in form?
a.6(x + 2)2 + 8x + 2 + 1 = 0
b.6x4 + 7x2 – 3 = 0
c.5x6 + x4 + 12 = 0
d.x9 + x3 – 10 = 0

Answer:

x = 20

Explanation:

all the interior angles in the triangle is 180°

therefore:

4x - 17° + 71° + 46° = 180°

4x + 100° = 180°

4x = 180° - 100°

4x = 80°

x = 20°

Answer:

not sure sorry  x

Step-by-step explanation:

46+71 = 117

117 - 180 = 63

or

4x- 17

divided by 4 on both sides

x=4.25

The fifth term of the sequence whose formula for finding the general term is \(a_{n} = a_{n -1} 4\) is 1280.

According to the given question.

We have

\(a_{1}\) = 5 ( the first term of any sequence)

And the formula for finding the general term of the sequence is

\(a_{n} = a_{n -1} 4\)

Therefore,

\(a_{5}\) i.e the fifth term of the sequence whose formula for finding the general term is \(a_{n} = a_{n -1} 4\) is given by

\(a_{5} = a_{5-1} 4\)

⇒ \(a_{5} = a_{4} 4\)

⇒ \(a_{5} = (a_{3}4)(4)\)

⇒ \(a_{5} = (a_{2}4) 16\)

⇒\(a_{5} = (a_{1} 4)64\)

⇒ \(a_{5} = a_{1} 256\)

⇒ \(a_{5 } = 5\times 256\)

⇒ \(a_{5} = 1280\)

Hence, the fifth term will be 1280.

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Answer:

140

Step-by-step explanation:

-90x+2000          -90+(-50)

------------------- = --------------------- = 140/1 = 140

      x-40                  1

Answer:

4).

Step-by-step explanation:

sin A = cos B

Because sin A = CB/AB and cos B = CB/AB.

Answer:

\((x - 9)(x - 1)\)

Step-by-step explanation:

We can factor the trinomial using the rule:

IF \(x^2 + cx + d = (x + a)(x + b)\),

THEN \(a + b = c\) and \(a \cdot b = d\).

We know that -9 and -1 add to -10. They also multiply to 9.

Therefore, we can factor \(x^2 - 10x + 9\) as:

\(\boxed{(x - 9)(x - 1)}\)

The factors of the given trinomial are (x-9)(x-1).

Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.

Given that, a trinomial x² - 10x + 9, we need to find the factors,

So,

x² - 10x + 9

= x² - 9x - x + 9

= x(x-9) -1(x-9)

= (x-9)(x-1)

Hence, the factors of the given trinomial are (x-9)(x-1).

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Answer:

146

Step-by-step explanation:

180=4+30+x

180=34+x

180-34=x

146=x

Answer:

12

Step-by-step explanation:

Answer:

5?

Step-by-step explanation:

just solve

The probability that the next person will purchase no costume is 36% to the nearest whole number.

We have,

To express the probability that the next person will purchase no costume as a percent to the nearest whole number, we need to use the total number of visitors to the website as the denominator and the number of visitors who purchased no costume as the numerator.

The total number of visitors to the website is:

168 + 252 + 47 = 467

The number of visitors who purchased no costume is 168.

So the probability that the next person will purchase no costume is:

168/467 = 0.3609

To express this as a percent, we multiply by 100:

0.3609 × 100

= 36.09

Rounding this to the nearest whole number, we get:

36%

Therefore,

The probability that the next person will purchase no costume is 36% to the nearest whole number.

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Answer:

Yes you would know

Step-by-step explanation:

We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.

After this we calculate the interior angle of each side, and use our given 20m to calculate it.

Answer:

The p-value categories are as follows:

p-value < 0.01

0.01 ≤ p-value < 0.025

0.025 ≤ p-value < 0.05

0.05 ≤ p-value < 0.10

p-value ≥ 0.10

Step-by-step explanation:

The p-value is a statistical measure used in hypothesis testing to determine the significance of results. It represents the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. In the given categories, a p-value less than 0.01 indicates strong evidence to reject the null hypothesis and suggests a significant result. This means that the observed data is highly unlikely to have occurred by chance alone.

A p-value between 0.01 and 0.025 suggests strong evidence against the null hypothesis, but it is slightly less significant than the previous category.

A p-value between 0.025 and 0.05 indicates moderate evidence against the null hypothesis. While still statistically significant, it may not be as strong as the previous categories.

A p-value between 0.05 and 0.10 suggests weak evidence against the null hypothesis. It indicates some level of significance, but it is generally considered less conclusive.

Lastly, a p-value greater than or equal to 0.10 suggests that there is insufficient evidence to reject the null hypothesis. The observed data is likely to have occurred by chance, and the results are not considered statistically significant.

These categories help researchers and statisticians interpret the significance of their findings and make informed decisions based on the strength of evidence provided by the p-value.

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Step-by-step explanation:

bro its B.52° its pretty simple

Answer:

E

Step-by-step explanation:

Perimeter =5s+5s+2s+2s+0.75+0.75

2 off each implies part E

We can conclude that the probability that the sample mean is greater than $37,000 is 44.4%.

So, we know that:

Determine the z-score first:

We must use a normal distribution table to determine:

Since the probability:

Consequently, there is a 44.4% chance that the sample mean is higher than $37,000.

Therefore, we can conclude that the probability that the sample mean is greater than $37,000 is 44.4%.

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The correct interpretation of the p-value in this scenario is C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

In a chi-square goodness-of-fit test, the null hypothesis assumes that the distribution of the number of credit cards used by customers has not changed from last year to this year. The alternative hypothesis suggests that there is a change in the distribution.

The p-value is the probability of observing a test statistic as extreme as the one obtained (or more extreme) under the assumption that the null hypothesis is true. In this case, the p-value is 0.02, which means that if the null hypothesis were true (i.e., there is no change in the distribution), there is a 2 percent chance of obtaining a chi-square value of at least 7.82 or more extreme.

The p-value is not the probability that the company's claim is correct (option A). It is not the probability of obtaining a chi-square value of at least 7.82 (option B) because the p-value accounts for values both at and beyond the observed test statistic. Additionally, it is not the probability that the company's claim is correct (option D).

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The correct interpretation of the p-value is that if the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.

In this question, the credit card company conducted a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of the number of cards used by its customers from last year to this year. The test statistic value obtained was x2 = 7.82, and the corresponding p-value was 0.02.

The p-value in this context represents the probability of obtaining a chi-square test statistic as extreme as 7.82, assuming the null hypothesis is true. The null hypothesis states that there is no change in the distribution of the number of cards used from last year to this year.

Since the p-value is 0.02, which is less than the typical significance level of 0.05, we can conclude that the observed data is statistically significant and provides evidence against the null hypothesis. Therefore, we reject the null hypothesis and conclude that there is a change in the distribution of the number of cards used by the credit card company's customers from last year to this year.

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The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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Answer: \(\frac{2}{9}\)

Step-by-step explanation:

4  out of 18 is:

\(\frac{4}{18}\)

but dividing both the top and bottom by 2 gives you:

\(\frac{2}{9}\)

If the radius is quadrupled, then the area of the new area to the old area will be 4:1

You should be aware that the quadrupled of a circle is four times the area of the old one.

In this case the area of the circle is denoted by

Area = πr²

Where r= radius=6 cm

The area of the old circle is 22/7 * 6 * 6

Area of the circle is = 113.1cm²

To this effect, the area of the new circle is 4(area of the old one)

Area = 4*22/7 * 6 * 6

Area = 3167/7

Area is = 452.6

This implies that 4(113.2) =452.6

In conclusion, you will discover that four times the area of the new circle is the old circle

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Answer:

1. 8.8 gallons per hour

2. 9:20 am

3. 8:04 am

Step-by-step explanation:

The tank lost 22 gallons of water in 150 minutes (2.5 hours)

This is a rate of 0.14666 gallons per minute or 8.8 gallons per hour

The function: 200 - 0.147(x)

So at 4:30 pm, the tank lost 63 gallons. So at a rate of 8.8 gallons per hour, that means it has been leaking for 7.16 (.16 hours = 9.6 minutes) hours.

So it has been leaking since 9:20 am.

In order for it to completely empty, it needs to drain 115 gallons of water.

At a rate of 8.8 gallons per hour, that means it needs 13.068 hours or 13 hours and 4 minutes.

So it will be empty at 8:04 am.

The line plots shows that the bus that typically has the faster travel time is C. Bus 18, with a mean of 13

Using the given data, we get:

(4+6+10+10+12+12+14+14+18+18+22+22+22+28+28) / 15 = 16.8

The mean travel time for Bus 47 is approximately 17 minutes.

The mean can be approximated by calculating the sum of the travel times and dividing by the number of students. Using the given data, we get:

(6+6+8+8+9+9+10+10+12+12+14+16+16+18+20) / 15 = 12.67

Hence, the mean travel time for Bus 18 is approximately 13 minutes.

Based on these calculations, we can conclude that Bus 18 typically has the faster travel time, as it has a lower mean and median travel time compared to Bus 47.

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Given the function f(x) = cosh(x), we are to find the first four non-zero terms of the Maclaurin series for f(x), write the power series using summation notation and determine the interval of convergence of the series.

a) Find the first four non-zero terms of the Maclaurin series for f(x)The first four non-zero terms of the Maclaurin series for f(x) can be calculated as follows;

\(cosh(x) = 1 + x2/2! + x4/4! + x6/6! +...\)

For the first four non-zero terms,

let x = 0 and obtain;

\(cosh(0) = 1 + 0 + 0 + 0 +... = 1\)

Therefore, the first four non-zero terms are 1, x2/2!, x4/4!, and x6/6!.

b) Write the power series using summation notationWe can write the power series using summation notation as follows;

\(cosh(x) = ∑n=0∞ x2n/(2n)!c)\)

Determine the interval of convergence of the seriesThe interval of convergence of the series is (-∞, ∞).This is because the power series for cosh(x) converges for all x values, and since this series has an infinite radius of convergence, it will converge for all x-values.

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Answer:

(0°C × 9/5) + 32 = 32°F

Step-by-step explanation:

hope this helps

The Values of n, r, s, and t in the expression are:

n = 625

r = 0

s = -12

t = -8

The values of n, r, s, and t in the expression (5b^(-3) * c^(-2))^4 * (4b^(-5) * a^(-1))^0 = na^r * b^s * c^t, we need to simplify the expression and identify the coefficients and exponents.

Let's simplify the expression step by step:

(5b^(-3) * c^(-2))^4 = 5^4 * b^(-3*4) * c^(-2*4) = 625 * b^(-12) * c^(-8)

(4b^(-5) * a^(-1))^0 = 4^0 * b^(-5*0) * a^(-1*0) = 1

Now, we can rewrite the simplified expression as:

(625 * b^(-12) * c^(-8)) * 1 = 625 * b^(-12) * c^(-8)

From the expression, we can identify the values of n, r, s, and t:

n = 625 (the leading coefficient)

r = 0 (the exponent of a, which is 0 in this case)

s = -12 (the exponent of b, which is -12 in this case)

t = -8 (the exponent of c, which is -8 in this case)

Therefore, the values of n, r, s, and t in the expression are:

n = 625

r = 0

s = -12

t = -8

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The correct simplification of the given expression to lowest form using indices is \({9}^{ \frac{ - 1}{2} }\)

\( {9}^ \frac{1}{4} \times \frac{ {9}^{ \frac{1}{2} } }{ ({9}^{ \frac{1}{4}) ^{5} } } \)

\(( {9}^{ \frac{1}{4} } )^5 = 9 \frac{5}{4} \)

From division law of indices :

divided values with the same root are subtracted as below :

\(9^ \frac{1}{2} \div 9^ \frac{5}{4} = {9}^{ \frac{1}{2} - \frac{5}{4} } = {9}^{ \frac{ - 3}{4} } \)

Using the Multiplication law of indices :

Multiplied values with the same root are added as shown below:

\( {9}^{ \frac{1}{4}} \times {9}^{ \frac{ - 3}{4} } = {9}^{ \frac{1}{4} - \frac{3}{4} } = {9}^{ \frac{ - 1}{2} } \)

Therefore, the correct simplification of the expression is \({9}^{ \frac{ - 1}{2} }\)

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The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Use the appropriate Excel formula to test the significance of the correlation coefficient, which is 6.6092, and enter your responses .

Statistics are numerical descriptions of the characteristics of samples. A population parameter would be, for instance, the average income in the United States. The average income for a sample taken from the United States, on the other hand, is a sample statistic. Both values indicate the mean income, but only one is a statistic. A statistic is a result of data collecting that can be a summary measure, an estimate, or a projection. Data that has been organized to accomplish a desirable goal is statistical information.

given

x          y

1          2

2         8

3         4

4         11

5         16

sample correlation coefficient ( r)  = 0.8775

sample correlation coefficient ( r )  = 0.8775

test statistics is t = \(\frac{r}{1 - r^{2} * \sqrt{n- 2 }\\} }\)

n = 5

Use the appropriate Excel formula to test the significance of the correlation coefficient, which is 6.6092, and enter your responses .

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In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Answer:

354 feet below sea level

Step-by-step explanation:

Subtract 23 from  215, then add 119

Answer:

Your answer is 62.83cm²

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