If y= cos x, then d^75y/dx^75? (A) -sin x (B) sin x (C) -cos x (D) cos X

Answer:

Step-by-step explanation:

Exact Form:

19 /18  

Decimal Form:

1.0 5

Mixed Number Form:

   1      1 /18

Not sure what form your answers are supposed to be in .

Answer:

114°

Step-by-step explanation:

here's your solution

=> x° + 66° = 180°

=> x = 180° - 66°

=> x = 114°

hope it helps

Answer:

66°+x=180°[by linear pair]

x=180°- 66°

x=114°.

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

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The Taylor series of F(x) = 11 - x centered at x = 8 is F(x) = 3 - (x - 8). To find the Taylor series of the function F(x) = 11 - x centered at x = 8, we need to determine the coefficients of the series by calculating the function's derivatives and evaluating them at the center point.

The Taylor series for F(x) centered at x = 8 is:

F(x) = F(8) + F'(8)(x - 8) + F''(8)(x - 8)^2/2! + F'''(8)(x - 8)^3/3! + ...

First, let's find the derivatives of F(x):

F(x) = 11 - x
F'(x) = -1
F''(x) = 0 (and all higher-order derivatives will also be 0)

Now, let's evaluate the derivatives at x = 8:

F(8) = 11 - 8 = 3
F'(8) = -1
F''(8) = 0

Since the second and higher-order derivatives are all 0, the Taylor series simplifies to:

F(x) = 3 - 1(x - 8)

So, the Taylor series of F(x) = 11 - x centered at x = 8 is:

F(x) = 3 - (x - 8)

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Answer:

5.6

Step-by-step explanation:

5x/8=7/2

10x=56

x=5.6

Answer:

15

Step-by-step explanation:

Answer:

The sets that represent possible input and output of the function represented as ordered pairs is {(−1, −8), (0, −3), (3, 12)}.

A linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the sets that represents the possible inputs and outputs of the function represented as ordered pairs are as follows:

Using y = 5x - 3

Let's test the ordered pair for option D.

{(−1, −8), (0, −3), (3, 12)}

(-1, -8)

y = 5(-1) - 3 = -5  - 3 = - 8

(0, −3)

y = 5(0) - 3 = 0 - 3 = - 3

(3, 12)

y = 5(3) - 3 = 15 - 3 = 12

Therefore, the right option is D.

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Answer:

the probability is 1/2

Step-by-step explanation:

the probability of a child being a boy is 1/2, if at least one of them is already a boy, then the probability of both being boys, which amounts to saying that the other is also a boy, is 1/2

area of rectangle : length x width

1) 7 x 5 = 35

area = 35 in^2

2) area of trapezoid : (a+b)h/2

area = 272 cm^2

3) area = 45.5 in^2

4) area of rhombus : base x height

area =  80 m^2

5) area = 108 cm^2

Answer:

number one is 35in its important to say inches after but in the abbreviation

Step-by-step explanation:

if you need to show your work then put on the side of it

  7in

x 5in

-------

  35in

To meet her daily goal, Ling need to pedal approximately 1,008 revolutions each day.

To find the number of revolutions Ling will need to pedal each day to meet her daily goal, we need to first find the circumference of her unicycle tire.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since the diameter of Ling's unicycle tire is 20 inches, the radius is 10 inches. Therefore, the circumference of her unicycle tire:

C = 2π(10) = 20π inches.

Next, we need to convert Ling's daily goal of one mile, or 5280 feet, to inches. There are 12 inches in a foot, so 5280 feet is equal to 5280 * 12 = 63360 inches.

Finally, we can find the number of revolutions Ling will need to pedal each day by dividing her daily goal in inches by the circumference of her unicycle tire in inches:

Number of revolutions = 63360 inches / 20π inches = 20,160π / 20π = 1,008

Therefore, Ling will need to pedal approximately 1,008 revolutions each day to meet her daily goal.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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A unbiased estimator is a statistic that accurately reflects the population mean, μ. A statistic is unbiased when the mean of its sampling distribution is equal to μ.

Mathematically, this can be expressed as:

E(x) = μ

Where E(x) is the expected value of x and μ is the population mean.

This means that if we take a sample from a population and calculate the mean from that sample, the expected value of that mean should be equal to the population mean. This can be seen in the following example:

Let's say we have a population with a mean of 30. We take a sample of size 5 from this population and calculate the sample mean, x. The expected value of x should be equal to 30. We can calculate this using the formula:

E(x) = ∑xi/n

Where xi are the values in the sample and n is the sample size.

For our example, E(x) = (30 + 30 + 30 + 30 + 30) / 5 = 30

This shows that x is an unbiased estimator of μ.

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Answer:

its cruked i dont see it

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

So that means

2(3x - 4) = x + 37

6x - 8 = x + 37

5x = 45

x = 9

Answer:

x+37=2(3x-4) opposite angle of the parallelogram are equal

x+37=6x-8

37+8=6x-x

45=5x

x=9

the measure of QRS=2(3×9-4)=46

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Here we can cancel both x term and y terms, lets choose x terms  and apply the elimination method

The coefficient of x in first equation is 5 and 12 in second equation

We have to make it same

Prime factorization

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Here we have eliminated x term

Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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The answer is  20.45 years. The mean age of the combined distribution of both men and women in the course is approximately 20.45 years.(Option-c)

Since we know the percentages of men and women enrolled in the sociology course, we can use them to calculate the weighted average of the mean ages for men and women.

Let the combined distribution of both men and women be represented by the random variable X. We know that X is a weighted average of the mean ages for men and women, with weights equal to their respective percentages. That is:

X = 0.54*M + 0.46*W

We're asked to find the mean age of X. To do that, we need to find the expected value of X, which is the same as the mean of X. So we need to calculate E(X):

E(X) = E(0.54*M + 0.46*W)

By linearity of expectation, we know that:

E(aX + bY) = aE(X) + bE(Y)

So we can simplify E(X) as:

E(X) = 0.54*E(M) + 0.46*E(W)

We're given the mean ages for M and W, so we can substitute these values into the equation:

E(X) = 0.54*20.7 + 0.46*20.2

Simplifying, we get:

E(X) = 20.45 years (option-c)

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Answer:

-11

Step-by-step explanation:

Triangles have 180 degrees

using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

this minus 51 is -11

x is -11

Answer:

144 π³

Step-by-step explanation:

Area of a sphere = 4 π r²

in this case, r = 6π

so, Area of THIS sphere = 4 π (6π)² = 4 . 36 π³ = 144 π³

Answer:

144 pi^3 sq units

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is always the same. In this case, the common difference is 3, so every term is 3 more than the previous term.

The \($n^{th}$\) term in the arithmetic sequence can be found using

\($a_n = a_1 + (n - 1)d$\)

where $a_1$ is the first term (2 in this case), $d$ is the common difference (3 in this case), and $n$ is the term number.

To find the page number that $11{,}111$ appears on, we need to find the term number that corresponds to this value:

\($11{,}111 = 2 + (n - 1) \cdot 3$\)

Solving for $n$, we have:

$11{,}109 = 3n - 1$

$3n = 11{,}110$

$n = 37{,}037$

Since each page contains 100 numbers, the number 11,111 appears on page $\left\lceil \frac{37{,}037}{100} \right\rceil = 371$.

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Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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The average rate of change of 2|x| on the interval [-3, 5] is 0.5

The function is given as

2|x|

Rewrite as

f(x) = 2|x|

The interval is given as

[-3, 5]

So, we have

f(-3) = 2|-3| = 6

f(5) = 2|5| = 10

The average rate of change of 2|x| on the interval [-3, 5] is then calculated as

Rate = (f(5) - f(-3))/(5 --3)

This gives

Rate = (10 - 6)/(5 --3)

Evaluate

Rate = 0.5

Hence, the average rate of change of 2|x| on the interval [-3, 5] is 0.5

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The value of 6⅔ ÷ 12 is 5/9

The mathematical “operation” refers to calculating a value using operands and a math operator.

Mathematical operations include; Addition subtraction, multiplication, division. This operations are used to define the relationship between two terms.

PEDMAS is used for orderly arrangements for the operation.

6²/3 ÷ 12

We first convert the mixed fraction into improper fraction.

= 20/3 × 1/12

= 20/36

divide through by 4, then we have

= 5/9

Therefore the value of 6⅔ ÷ 12 is 5/9

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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The test statistic for the first hypothesis test is t = -0.83. The p-value for the second hypothesis test is approximately 0.0675.

For the first hypothesis test, we are comparing the sample mean to a hypothesized population mean. The formula for calculating the test statistic (t) is given by t = (sample mean - hypothesized mean) / (standard deviation /√(sample size).

Plugging in the values, we have

t = (47.9 - 48) / (2.41 / \(\sqrt{21}\)) ≈ -0.83.

For the second hypothesis test, we are comparing the sample statistic (z) to a hypothesized population parameter. To find the p-value, we need to calculate the probability of obtaining a test statistic as extreme as or more extreme than the observed value, assuming the null hypothesis is true. In this case, since we have a negative z-value, we want to find the probability in the left tail of the standard normal distribution.

Using a standard normal table or statistical software, we can determine that the p-value is approximately 0.0675. This means that if the null hypothesis is true (the probability of catching the flu is 0.85),

we would expect to see a test statistic as extreme as -1.495 about 6.75% of the time.

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The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.

Thus,

b + 3 + 6c         - Yes

-30 - 24z           - No

27n + 66p         - Yes

36 - 9j + 6k       - Yes

From the question, we are to determine if 3 is the greatest common factor of the given expressions

b + 3 + 6c

3(b + 1 + 2c)

The greatest common factor is 3

-30 - 24z

6(-5 -4z)

The greatest common factor is not 3. The greatest common factor is 6

27n + 66p

3(9n + 22p)

The greatest common factor is 3

36 - 9j + 6k

3(12 - 3j + 2k)

Thus, The greatest common factor is 3

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