6.) Find the Missing side
length
a.) c=18
b.)c=16
c.) c=17
d.) c=19

To perform a two-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.10, the critical t-values are approximately ±2.110.

To find the critical values for a two-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.10, you need to follow these steps:

1. Determine the degrees of freedom (df) for the t-distribution. In this case, df = n - 1 = 18 - 1 = 17.

2. Divide the significance level by 2 to account for the two tails. α/2 = 0.10/2 = 0.05.

3. Look up the critical t-value in the t-distribution table for a two-tailed test with a significance level of 0.05 and 17 degrees of freedom. The critical t-value is approximately ±2.110.

Therefore, the critical t-values for the two-tailed hypothesis test with a sample size of 18 and α = 0.10 are approximately ±2.110.

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It does not determine the observed interaction effects between variables.

In the case of multiple linear regression, the option that is not determined is:

Variable interactions that have been observed to have effects.

Option 1: Multiple linear regression can estimate the observed relationship between predictor and outcome variables after adjusting for confounding relationships and option 2: it can determine the potential confounding effects from lurking variables. Furthermore, numerous direct relapse can evaluate the causal connections among indicator and result factors adapting to jumbling connections (choice 3).

However, the potential observed interaction effects between variables cannot be determined by multiple linear regression on its own. Association impacts happen when the connection between two indicators and the result variable isn't added substance however relies upon the mix of the indicator values. In order to evaluate the effects of interactions, additional analysis methods like including interaction terms and carrying out specific interaction tests are required.

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The objective function formula that is nonlinear is - 2xy/2xy + z

From the question, we have the following parameters that can be used in our computation:

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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Answer:

34 1/2

Step-by-step explanation:

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The scale factor required for the dilation of the living room is 1/3.

A scale factor is a multiplicative fraction that can be used to either increase or decrease (i.e resize) the shape of a given object. It is given by the expression:

scale factor = \(\frac{length on the drawing}{length of the original object}\)

Dilation is type of transformation that can be used to resize the dimensions of a given object. So that an image of the object is formed.

Therefore, the required scale factor is;

scale factor = \(\frac{length on the drawing}{length of the original object}\)

                   = 7/21 or 9/27

                   = 1/3

scale factor = 1/3

The scale factor of the dilation as required in the question is 1/3.

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A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

\(x = 24\)

Step-by-step explanation:

\( \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Let her daily allowance be RMy.

0.25y x 14 = 28

0.25y=2

y=8

Therefore, her daily allowance is RM8.

Answer:

\(x=8\)

Step-by-step explanation: \(25\)%\(\times14\times\)\(x=28\)

Solve the equation

\(0.25\times14x=28\)

Multiply the monomials

\(3.5x=28\)

Divide both sides of the equation by the coefficient of variable

\(x=\frac{28}{3.5}\)

Multiply both the numerator and denominator with the same integer

\(x=\frac{280}{35}\)

Cross out the common factor

\(x=8\)

I hope this helps you

:)

Answer:

This can be written as y > -5.

Let me know if you have any other questions!

The equation sin(3x)=25-x² has only one solution, that is 3.14159.

The equation is sin(3x)=25-x².

Newton's Method is an iterative method used for finding the roots of a given equation. This method involves an initial guess for the solution of the equation and then successive approximations of that solution which are obtained using derivatives of the equation.

In our case, we can use the function f(x)=sin(3x)-(25-x²) which has the roots that we are seeking, and its derivative f'(x)=3cos(3x)-(-2x).

The first step is to choose a first guess for the solutions. Since we are seeking solutions to the equation sin(3x)=25-x², a natural first guess for the solution would be x₀=1.

Next, we use Newton's Method to obtain successive approximations for the root(s) of the equation. This is done using the formula xₙ₊₁ = xₙ - (f(xₙ)/f'(xₙ)), where xₙ represents the successive approximations of the root.

Using the initial guess of x₀=1 and the formula above, we can calculate the following successive approximations:

x₁ = 1 - (sin(3)-(-5)/(3cos(3)-(-2))) = 3.139

x₂ = 3.139 - (sin(9.417)-(-11.22)/(3cos(9.417)-(-4.278))) = 3.1417

x₃ = 3.1417 - (sin(9.4257)-(-11.2215)/(3cos(9.4257)-(-4.2771))) = 3.14159

We can see that the successive approximations above get closer and closer to the exact solution, which is 3.14159. This means that the root of the equation sin(3x)=25-x² is 3.14159.

Since there is only one solution for this equation, this means there is only one root.

Therefore, the equation sin(3x)=25-x² has only one solution, that is 3.14159.

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The final polynomial equation after synthetic division is \(x^5-3x^4-81x+243\)

We need to solve;

Put the solution in the appropriate spot on the grid after using synthetic division to divide the following polynomial. Respond with descending powers of x.

The polynomial equation given is;

\(\left(x^4-81\right)\left(x-3\right)\)

By using synthetic division;

⇒ \(x^4x+x^4\left(-3\right)-81x-81\left(-3\right)\)

    \(x^5-3x^4-81x+243\)

→ The required final equation in descending powers of x is \(x^5-3x^4-81x+243\) .

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Answer:

432 characters

Step-by-step explanation:

First we can convert 12 characters per inch in to characters per feet. Knowing that there are 12 inches per foot we know we have to multiply the 12 characters per inch by 12, giving us 144 characters per foot. Now we have to convert characters per foot to characters per yard. Knowing there are 3 feet per yard we know we have to multiply 144 characters per foot by 3, giving us a final answer of 432 characters per yard of text.

Answer:

432 characters

Step-by-step explanation:

just did the test :)

Answer:

y=-2x+11

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.

You can plug this into y=mx+b to get y=-2x+b.

To solve for b, you can use one of the original points and plug it back into the formula:

y=-2x+b

5=-2(3)+b

5=-6+b

b=11

So, putting it all together, you get y=-2x+11.

Let m = slope

m = (13 - 5)/(-1 - 3)

m = 8/-4

m = -2

Now use the point-slope formula.

Here is the formula: y - y_1 = m(x - x_1).

y - 5 = -2(x - 3)

y - 5 = -2x + 6

y = -2x + 6 + 5

y = -2x + 11

Done.

The true statement about the partition is (a) yes, they are both one-fourth the distance from one endpoint to the other

The partitions from point a to point b are given as:

Point p = 1 : 3

Point q = 1 : 3

Notice that the ratios of both points are the same.

This means that point P and Q are located on the same point

Hence, the true statement about the partition is (a) yes, they are both one-fourth the distance from one endpoint to the other

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Answer:

it's not b-- it's C

c) No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.

Step-by-step explanation:

i just took the quiz

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

Answer:

66

Step-by-step explanation:

180 - 114)  These angles are supplemental.  They add to 180

66

Answer:

m<6=66°

Step-by-step explanation:

Because m<2 and m<3 are both on a straight line, we know they must add to 180°:

m<2 + m<3 =180

We know m<3=114°, so:

m<2 +114 = 180

m<2 = 66

Since AB|CD, m<2 and m<6 are corresponding angels, making them equal, and so m<6=66°.

Answer:

c. Might not be congruent

There is No congruence between ABC and DEF.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

From the figure we have given that

<A = <D

<B = <E

<C = <F

As, all the angles are equal but there is no Criteria which have AAA congruence rule.

Thus, there is no Congruence.

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Answer:

C  &  78.21 or 8 as the missing number

Step-by-step explanation:

9.983+12.05=22.033

68.91+9.3=78.21

The function f (x) is discontinuous at x = 2 because there is a vertical asymptote there. Therefore, the y-values of f as x approaches 2 from the right will approach negative infinity.

) The value of f (-10), f (-100), f (-1000000) are f (-10) = 0.1818181818,f (-100) = 0.1818181818, and f (-1000000) = 0.1818181818.b) The values of f (2.01), f (2.0001), and f (2.000001) are f (2.01) = -197.5099502, f (2.0001) = -19999.5000333, and f (2.000001) = -1999999.50000017.    c) As x approaches negative infinity, the denominator of the expression approaches negative infinity and the numerator approaches negative infinity. The fraction is approaching zero from the negative direction, which is a horizontal asymptote.    d) As x approaches 2 from the right side, the denominator approaches zero, and the numerator approaches -4. The fraction is approaching negative infinity from the right direction, so there is a vertical asymptote at x = 2. The function f (x) is discontinuous at x = 2 because there is a vertical asymptote there. Therefore, the y-values of f as x approaches 2 from the right will approach negative infinity.Answer:The values of f (-10), f (-100), and f (-1000000) are f (-10) = 0.1818181818, f (-100) = 0.1818181818, and f (-1000000) = 0.1818181818.The values of f (2.01), f (2.0001), and f (2.000001) are f (2.01) = -197.5099502, f (2.0001) = -19999.5000333, and f (2.000001) = -1999999.50000017.As x approaches negative infinity, the denominator of the expression approaches negative infinity and the numerator approaches negative infinity. The fraction is approaching zero from the negative direction, which is a horizontal asymptote.As x approaches 2 from the right side, the denominator approaches zero, and the numerator approaches -4. The fraction is approaching negative infinity from the right direction, so there is a vertical asymptote at x = 2. The function f (x) is discontinuous at x = 2 because there is a vertical asymptote there. Therefore, the y-values of f as x approaches 2 from the right will approach negative infinity.

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Answer:

30 degrees

Step-by-step explanation:

90 + 60 + x = 180

150 + x = 180

-150 -150

x = 30

Answer: The measure of the acute angle is 30°

Step-by-step explanation:The sum of all triangles is 180° 90+60+30 is 180 and 90 is a right angle

Answer:

x=2

Step-by-step explanation:

2x+x- 5 =0

Answer:

abc def ghi jkl mno pqr Stu vwx yz

We have shown that for any given ε > 0, there exists a natural number N such that for all m, n > N, the absolute difference |((2m+1)/m) - ((2n+1)/n)| is less than ε. Therefore, the sequence (2n+1)/n is Cauchy.

Let's define what it means for a sequence to be Cauchy. A sequence is considered Cauchy if, for any arbitrarily small positive number, there exists a natural number N such that for any two terms of the sequence with indices greater than N, the difference between them is less than the chosen positive number. In other words, the terms of a Cauchy sequence get closer and closer together as the sequence progresses. To prove that the sequence (2n+1)/n is Cauchy, we must show that it satisfies the above definition. Let ε be any positive number. Then, for any two terms (2n+1)/n and (2m+1)/m with indices greater than N, we have: |(2n+1)/n - (2m+1)/m| = |(2nm + n - 2mn - m)/(mn)| = |(n-m)/(mn)|.

Since n and m are both greater than N, we can say that |n-m| is less than εN. Also, we know that n and m are both greater than or equal to N, so |mn| is greater than or equal to N^2. Therefore, we have:|(2n+1)/n - (2m+1)/m| < εN/N^2 = ε/N. Since ε is arbitrary, we can choose N to be any natural number greater than 1/ε. Therefore, we have shown that the sequence (2n+1)/n is Cauchy. In conclusion, we have proven that the sequence (2n+1)/n is Cauchy by showing that, for any arbitrarily small positive number, there exists a natural number N such that for any two terms of the sequence with indices greater than N, the difference between them is less than the chosen positive number.

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Answer:prime

Step-by-step explanation:

I just took the test and got it right

In this situation, the teacher could use a hypothesis test for a population means to determine if the computer-based instruction led to a statistically significant improvement in the student's test scores. The population in this case would be the entire class of students, and the mean would represent the average difference in test scores between the pretest and posttest.

The teacher can use a hypothesis test for a population means in the following situation:

1. Determine the population: The teacher's population consists of all the students who participated in the experiment.

2. Calculate the mean pretest score: The teacher will compute the average score of all the students' pretest results.

3. Implement computer-based instruction: The teacher teaches a lesson using a computer program.

4. Conduct a posttest: After the lesson, the teacher administers a posttest to each student.

5. Calculate the mean post-test score: The teacher will compute the average score of all the students' post-test results.

6. Formulate a null hypothesis: The null hypothesis states that there is no significant difference between the pretest and posttest mean scores. In other words, computer-based instruction did not have a significant impact on the students' performance.

7. Conduct a hypothesis test for a population mean: The teacher will use a statistical test, such as a t-test, to compare the pretest and posttest mean scores. This test will determine whether there is a significant difference between the two means that suggests the computer-based instruction had a positive effect on the student's performance.

8. Interpret the results: If the hypothesis test shows a significant difference between the pretest and posttest mean scores, the teacher can conclude that the computer-based instruction likely had a positive impact on the students' learning. Otherwise, the null hypothesis cannot be rejected, and the teacher may need to explore other instructional methods or factors that could have influenced the results.

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Answer:

x = 12

Step-by-step explanation:

81 + 57 + 2x + 18 = 180

156 + 2x = 180

2x = 24

x = 12

If the measures of triangle are  81⁰, 57⁰ and (2x+18)⁰then value of x is 12.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given triangle has three angles 81⁰, 57⁰ and (2x+18)⁰

According to the angle sum property.

The sum of three angles of triangle is 180⁰

81⁰+57⁰+(2x+18)⁰=180⁰

81+57+2x+18=180

We need to find the value of x of for eighty one plus fifty seven plus two times of x plus eighteen equal to one hundred eighty.

Add 81, 57 and 18

156+2x=180

Subtract 156 from both sides

2x=180-156

2x=24

Divide both sides by 2

x=12

Hence the value of x is 12.

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If E= Emily's homeroom class students, and S = Santiago's homeroom class students then

Answer:

C. Subtraction Property of Equality

Step-by-step explanation:

The equation is

m<1 + m<2 = m<2 + m<4

m<1 = m<4

We see that is subtraction property, so the answer is C