Write an equation m=1 b= -1/2

Answer:

A. the Dependent variable is S

Tukey's procedure, also known as the Tukey-Kramer test, a statistical method used to compare multiple groups and identify significant differences in their means. Tukey's procedure is used to identify differences in the true average bond strengths among the five protocols in Example 10.3.

Tukey's procedure, also known as the Tukey-Kramer test, a statistical method used to compare multiple groups and identify significant differences in their means. In this case, we are applying Tukey's procedure to the data in Example 10.3, which consists of bond strengths measured under five different protocols.

To perform Tukey's procedure, we first calculate the mean bond strength for each protocol. Next, we compute the standard error of the mean for each protocol. Then, we calculate the Tukey's test statistic for pairwise comparisons between the protocols. The test statistic takes into account the means, standard errors, and sample sizes of the groups.

By comparing the Tukey's test statistic to the critical value from the studentized range distribution, we can determine if there are statistically significant differences in the true average bond strengths among the protocols. If the test statistic exceeds the critical value, it indicates that there is a significant difference between the means of the compared protocols.

Using Tukey's procedure on the data in Example 10.3 will allow us to identify which pairs of protocols have significantly different average bond strengths and provide insights into the relative performance of the protocols in terms of bond strength.

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Answer:

6v^2 - 35v + 6wv - 42w - 49

Step-by-step explanation:

Use distributive property

First multiply 6v to each term within the second set of parentheses

6v^2 - 42v

Now multiply 6w to each term within the second set of parentheses

6wv - 42w

Next multiply 7 to each term within the second set of parentheses

7v - 49

Add all of these numbers together

6v^2 - 42v + 6wv - 42w + 7v - 49

Combine like terms

6v^2 - 35v + 6wv - 42w - 49

No more like terms so the expression is simplified

The minimum number of views required to fully define each object is as follows:

A cylinder: 1 view

A sphere: 2 views

A typical prismatic: 3 views

The minimum number of views required to fully define each object is as follows:

A cylinder: 1 view

A sphere: 2 views

A typical prismatic: 3 views

To fully define an object, we need to consider its shape and dimensions. The number of views required to fully define an object can vary depending on its complexity.

A cylinder requires one view: A cylinder has a circular base and a curved surface, so a single view showing the side view or the top view can fully define its shape and dimensions.

A sphere requires two views: A sphere is a perfectly symmetrical object, and it looks the same from all angles. Therefore, it requires at least two views, such as the front view and the top view, to fully define its shape and dimensions.

A typical prismatic requires three views: A prismatic object refers to a shape with flat, polygonal sides. To fully define such an object, we typically need three views: the front view, the top view, and the right-side view. These three views together provide information about the shape and dimensions of the prismatic object.

So, considering all the options you mentioned, the minimum number of views required to fully define each object is as follows:

A cylinder: 1 view

A sphere: 2 views

A typical prismatic: 3 views

Therefore, the answer would be "all of the above."

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Answer:

D. 1/5^-10

Step-by-step explanation:

Hope this helps.

Answer: 18/5

Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5

Answer:

\(\frac{2}{45}\)

Step-by-step explanation:

Just like you would divide 18 pounds of popcorn by 9 people, you should divide \(\frac{2}{5}\) by nine. This will result in \(\frac{2}{5}\) x  \(\frac{1}{9}\) and that equals \(\frac{2}{45}\).

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Answer:

The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.

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Answer:

,,Answer:

The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Step-by-step explanation:

Given : Equation 3x − 7 = 4 + 6 + 4x

We have to find the number of solutions of the given equation.

Consider the given equation 3x − 7 = 4 + 6 + 4x

Simplify, we have,

3x − 7 = 10 + 4x

Now subtract 3x both side, we have

-7 = 10 + 4x - 3x

Simplify, we have,

- 7 = 10 + x

Subtract 10 both side, we have,

-7 - 10 = x

x = - 17

Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Thank you❤

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Answer:

(-3 , 4)

Step by step explanation:

1) 6x + 5y = 2

2) 5x + 4y = 1

we solve the first equation.

5y = 2 - 6x

y = (2 - 6x)/5

Then we replace Y in the second equation.

5x + 4*((2-6x)/ 5) = 1

5x + 8/5 - 24x/ 5 = 1

(8-24x)/5 + (5x*5)/5 = 1 * 5

(8-24x + 5x * 5)/ 5 = 5

8 - 24x + 25x = 5

8 + x = 5

X = -3

Then we replace x in the first equation.

(6*-3) + 5y = 2

-18 + 5y = 2

5y = 2 + 18

Y = 20/ 5

Y = 4

The given triangle is a right triangle

The coordinates are given as:

D (0,n), E(m,n), F(m,0)

The length is calculated using:

\(l=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2\)

So, we have:

\(DE=\sqrt{(0-m)^2 + (n-n)^2} = m\)

\(DF=\sqrt{(0-m)^2 + (n-0)^2} = \sqrt{m^2 + n^2\)

\(EF=\sqrt{(m-m)^2 + (n-0)^2} = n\)

The slope is calculated using:

\(m = \frac{y_2 -y_1}{x_2 - x_1}\)

So, we have:

\(DE = \frac{n -n}{0- m} = 0\)

\(DF = \frac{n -0}{0- m} = -\frac nm\)

\(EF = \frac{n -0}{m- m} = \mathbf{unde fined}\)

This is calculated using

\(m = 0.5 * (x_1 + x_2, y_1 + y_2)\)

So, we have:

\(DE = 0.5 * (0 + m, n+ n)=(0.5m, n)\)

\(DF = 0.5 * (0 + m, n+ 0)=(0.5m, 0.5n)\)

\(EF = 0.5 * (m + m, n+ 0)=(m, 0.5n)\)

In (a), we have:

Lengths

\(DE= m\)

\(DF = \sqrt{m^2 + n^2\)

\(EF= n\)

Slope

\(DE = 0\)

\(DF = -\frac nm\)

\(EF = \mathbf{unde fined}\)

The sides are not equal.

However, the 0 and the undefined slope implies that the triangle is a right triangle because the sides are perpendicular

It should be noted that the triangle cannot be graphed because the coordinates are not numeric

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To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.

From the table, we can see that:

- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.

- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.

To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:

- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.

- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.

Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:

Amount of sugar for 9 batches - Amount of sugar for 3 batches

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

Simplifying the expression, we get:

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

= 6²2/2 - 6²2/2

= 0

Therefore, the correct answer is:

d) 19 1/4

There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.

Solution:

Note that:

10 days = 24 x 10 hours = 60 x 240 minutes = 60 x 60 x 240 seconds

9 hours = 9 x 60 minutes = 9 x 60 x 60 seconds

Overall time: 864000 + 32400 seconds

Answer:

it is 896400 seconds, really just trust me on this

The correct function that describes the line segment from P(2,7,3) to Q(3,1,1) is r(t) = ⟨2 + t, 7 - 6t, 3 - 2t⟩; 0 ≤ t ≤ 1.

The function that describes the line segment from point P(2,7,3) to Q(3,1,1), we can use the parametric form of a line. The general form of a line equation is r(t) = ⟨x₀ + at, y₀ + bt, z₀ + ct⟩, where (x₀, y₀, z₀) is a point on the line and (a, b, c) are direction ratios.

1. First, we find the direction ratios by subtracting the coordinates of P from Q:

  a = 3 - 2 = 1

  b = 1 - 7 = -6

  c = 1 - 3 = -2

2. Next, we substitute the point P(2,7,3) into the line equation and simplify:

  r(t) = ⟨2 + t, 7 - 6t, 3 - 2t⟩

3. The parameter t represents the distance along the line segment. Since we want to describe the segment from P to Q, we need t to vary from 0 to 1, ensuring that we cover the entire segment.

4. Comparing the obtained equation with the given options, we find that the correct function is r(t) = ⟨2 + t, 7 - 6t, 3 - 2t⟩; 0 ≤ t ≤ 1.

Therefore, option A, r(t) = ⟨2 - t, 7 + 6t, 3 + 2t⟩; 0 ≤ t ≤ 1, is the correct answer.

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The example of the simple interest problem is: What will be the simple interest on $2500 invested at an interest rate of 6% for 2 years?

What is simple interest?

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Solution for the above problem is:

The formula to calculate simple interest is:

\(S.I. = P \times I \times T\)

Here, S.I. is simple interest, P = principal amount, I = interest rate, T = time

Given in the question:

P = $2500

I = 6% = 0.06 (in decimals)

T = 2

Putting the value in the question:

S.I. = 2500(0.06)(2)

S.I. = 300

Therefore, the simple interest is $300.

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Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)

Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.

The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).

thus , y' =  \(\frac{e^{x}-xe^{x} }{x^{2} }\)

y'(1) = 0 = m

Our slope is indicated by the horizontal line.

y−\(y_{1}\)=m(x−\(x_{1}\))

Our line will simply be our y-coordinate because our slope(m) is 0:

e

Therefore:

The tangent line's equation is y=e.

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Answer:

You deposit $2000 in an account that earns 5% annual interest compounded quarterly. Find the account balance after 10 years

Answer:

w > 9

Step-by-step explanation:

5w - 4 > 59 - 2w ( add 2w to both sides )

7w - 4 > 59 ( add 4 to both sides )

7w > 63 ( divide both sides by 7 )

w > 9

Answer:

All of them except A

B: 10 meters in 4 seconds

C: 7.5 meters in 3 seconds

D: 5 meters in 2 seconds

Step-by-step explanation:

divided the number meters by the number seconds to get meters per second

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

\(12-t+6t^2\)

Step-by-step explanation:

Find the one with the highest exponent 2.

\(12-t+6t^2\) is the only one

Answer:

h(t) = 12 -t+6t^2

Step-by-step explanation:

A quadratic function has the highest power of the variable as 2 and must have a power of 2

h(t) has a power of 3

g(t) has a power of 3

k(t) has a power of 4

To obtain the weighting sequence of the system described by the given difference equation, we can use the Z-transform.

The difference equation can be written in the Z-domain as follows:

Z^2X(Z) - Z^2X(Z)z^(-1) + 0.25X(Z) = Z^2U(Z)

Where X(Z) and U(Z) are the Z-transforms of the sequences x(k) and u(k), respectively.

Simplifying the equation, we get:

X(Z)(Z^2 - Z + 0.25) = Z^2U(Z)

Now, we can solve for X(Z) by dividing both sides by (Z^2 - Z + 0.25):

X(Z) = Z^2U(Z) / (Z^2 - Z + 0.25)

Next, we need to find the inverse Z-transform of X(Z) to obtain the weighting sequence x(k).

Since the initial conditions are given as x(0) = 1 and x(1) = 2, we can use these initial conditions to find the inverse Z-transform.

Using partial fraction decomposition, we can express X(Z) as:

X(Z) = A/(Z - 0.5) + B/(Z - 0.5)^2

Where A and B are constants.

Now, we can find the values of A and B by equating the coefficients on both sides of the equation. Multiplying both sides by (Z^2 - Z + 0.25) and substituting Z = 0.5, we get:

A = 0.5^2U(0.5)

Similarly, differentiating both sides of the equation and substituting Z = 0.5, we get:

A = 2B

Solving these equations, we find A = U(0.5) and B = U(0.5) / 4.

Finally, applying the inverse Z-transform to X(Z), we obtain the weighting sequence x(k) as:

x(k) = U(0.5) (0.5^k + (k/4)(0.5^k-1))

Therefore, the weighting sequence of the system described by the given difference equation is x(k) = U(0.5) (0.5^k + (k/4)(0.5^k-1)), where U(0.5) is the unit step function evaluated at Z = 0.5.

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The expression with its given values. 3x/y ; x = 4, y = 12 is 1

Given expression= 3x/y

x= 4 and y= 12

putting the values of x and y in the given expression,

3*4/12 = 1

The answer for the given expression is 1.

What is an Expression?

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False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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For a sample population of size, n =5, sx = 20 and sx² = 120, the sum of squared deviation is 40.

Therefore, the answer is 40.

Given a sample population of 5 scores, that is n = 5.

sx = ∑x = 20

sx² = ∑x² = 120

Thus mean can be calculated by

mean, x⁻ = ∑x/ n

x⁻ = 20/ 5

x⁻ = 4

The sum of squared deviations

ss = ∑( x - x⁻)²

ss = ∑( x² -2×x×x⁻ + x⁻²)

ss = ∑x² -2×x⁻×∑x + ∑x⁻²

ss = ∑x² -2×x⁻×∑x + nx⁻²

ss = 120 - 2×4×20 + 5×4²

ss = 40

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Answer:

50%

Step-by-step explanation:

2/3 * 0.5 = 1/3

0.5 = 50%

Answer:

25 flowers are present in the garden

Step-by-step explanation:

An easy way we can solve this problem is divide 15 by 3 since we know the ratio is 3:2. 15 divided by 3 is 5, so we then multiply 2 by 5 to get the answer of 10 daisies in the garden. Then we simply add the flowers together to get 25! Hope this helps, Im trying to work on explaining my answers better!

Answer:

25

Step-by-step explanation:

Answer:

when x = 7, y = 21

Step-by-step explanation:

This is about direct variation. If y varies directly with x, then there is a constant  factor of variation, k. The constant of variation can be found by ʸ⁄ₓ

k = ʸ⁄ₓ

k = ¹⁵⁄₅ = 3

Now that we have found k, we simply multiply x by it to find y (this is because y is directly proportional to x). We plug in our x = 7 to find y at this point.

y = 3x

y = 3(7)

y = 21