How do you make a weak form?

Step-by-step explanation:

the only reason you would need help with this is, if you don't understand what exponents are and how they work.

because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.

so, let me explain this important element :

when you have something like 5³, then this 3 is the exponent, and the 5 is the base.

when we talk about such a thing we typically say "5 to the power of 3".

now what did it mean ?

well, it is a multiplication. a multiplication of the base by itself (like when we square a number).

and the exponent tells is how often the base is multiplied by itself.

so, back to my example :

5³ = 5×5×5

3² = 3×3

13⁴ = 13×13×13×13

once you understand that, you can solve the question yourself in seconds.

e.g. the first is looking for the equivalent of 7⁴.

we need to find the answer option that dissolves this like the examples above to 7×7×7×7.

and we find B to be the right answer.

for 3⁶ = 3×3×3×3×3×3

and E is right. and so on.

Answer:

c = 16

Step-by-step explanation:

3(c - 6) = 30

Divide both sides by 3

c - 6 = 10

Add 6 to both sides

c = 16

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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The  value of t* should keith use to construct the confidence interval is 1.943

Because the population of the data is given, we can use the t-distribution to calculate the confidence interval.

The confidence level of significance is = 90% = 0.9

The alpha level significance level α = 1-0.9 = 0.1

Sample size n = 7

The t score used in confidence interval is given by-

Using the formula t(α/2, n-1)

= t(0.05, 6)

= 1.943, from Students t table.

In conclusion the  value of t* should keith use to construct the confidence interval is 1.943

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The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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Answer:

341 meters

Step-by-step explanation:

you just multiply 31 by 11.

Answer:

341 meters

Step-by-step explanation:

Jusr do 31 times 11

Answer:

\( {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} \)

1. i^4 = 1.

2. (-i)^15 = -i.

3. (4 - i)(5 + 3i) = 17 + 17i.

4. (1 - i)^3 = -4 - 4i.

5. (2 - 3i)(4 + i) + (6 - 5i) = 19 - 15i.

A. Graphing on a complex plane:

The result of i^4 = 1 is represented by the point (1, 0) on the complex plane.

The result of (-i)^15 = -i is represented by the point (0, -1) on the complex plane.

The result of (4 - i)(5 + 3i) = 17 + 17i is represented by the point (17, 17) on the complex plane.

The result of (1 - i)^3 = -4 - 4i is represented by the point (-4, -4) on the complex plane.

The result of (2 - 3i)(4 + i) + (6 - 5i) = 19 - 15i is represented by the point (19, -15) on the complex plane.

B. Arithmetic expressions in the form a + bi:

1. i^4 = 1 + 0i.

2. (-i)^15 = 0 - i.

3. (4 - i)(5 + 3i) = 17 + 17i.

4. (1 - i)^3 = -4 - 4i.

5. (2 - 3i)(4 + i) + (6 - 5i) = 19 - 15i.

C. When graphing the results from B on the same complex plane as A, we can observe that each point representing the complex number is plotted accordingly. A complex plane is a 2-dimensional plane where the real part represents the horizontal axis (x-axis) and the imaginary part represents the vertical axis (y-axis). The points on the graph correspond to the real and imaginary parts of the complex numbers obtained from the arithmetic expressions. Each point represents a unique complex number, and by plotting them together, we can visually see their positions and relationships on the complex plane.

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z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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The problem states that 12 less than a variable, represented by 'm,' is no less than 132. The solution to the inequality is that 'm' is greater than or equal to 144.

To translate the given statement into an inequality, we can express "12 less than m" as "m - 12" and "no less than 132" as "≥ 132". Combining these expressions, we have the inequality: m - 12 ≥ 132. To solve for 'm,' we can add 12 to both sides of the inequality: m - 12 + 12 ≥ 132 + 12, which simplifies to m ≥ 144. Thus, the solution to the inequality is that 'm' is greater than or equal to 144. In interval notation, this can be written as [144, +∞), indicating that 'm' lies between 144 (inclusive) and positive infinity.

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Answer:

b. cubic

Step-by-step explanation:

hope this helps :)

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.

The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.

The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.

In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..

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Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

Answer:

the answer is C

go along the x and in ue case it is going along the left which means the linear will be negative so thats x-2

and in cases like going downwards the y the linear value will also be negative so thats y-5

so its (x-2)(y-5)

The force is 1.6N and the distance between them is 1.3 meters

An inverse variation from force to the square of distance is represented s:

k = Fd^2

Where k represents the variation constant

When F = 10, d = 2.

So, we have:

k = 10 * 2^2

k = 40

Substitute k = 40 in k = Fd^2

Fd^2 = 40

When d = 5, we have:

F * 5^2 = 40

This gives

25F = 40

Divide by 25

F = 1.6

Hence, the force is 1.6N

In (a), we have:

Fd^2 = 40

When F = 25, we have:

25 * d^2 = 40

This gives

25d^2 = 40

Divide by 25

d^2 = 1.6

Take the square root of both sides

d = 1.3

Hence, the distance between them is 1.3 meters

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A probability is given by the division of the number of desired outcomes by the number of total outcomes.

The total number of games is given as follows:

5 + 11 + 6 + 6 = 28.

He scored 2 touchdowns in 6 games, hence the probability is of:

p = 6/28 = 3/14.

He scored more than 1 touchdown in 6 + 6 = 12 games, hence the probability is of:

p = 12/28 = 6/14 = 3/7.

The estimated value is the mean, which is the sum of all observations divided by the number of values, hence:

Mean = (0 x 5 + 1 x 11 + 2 x 6 + 3 x 6)/28 = 1.46 touchdowns.

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Answer:

u should times 24 by 24 which will make 576

Step-by-step explanation:

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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A parallelogram possesses rotational symmetry of order 2, but no line symmetry.

The rotational symmetry of a parallelogram:

Therefore, a parallelogram possesses rotational symmetry of order 2, but no line symmetry.

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Answer:

in picture ....

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Q: Avg val of f(x) = 2 ( x 2 1 ) x 2 = 42x (hopefully?)

(1/(3-1)) * \(\int\limits^3_1 {42x} \, dx\)

1/2 * 168 = 84

Answer:

C) x=11

Step-by-step explanation:

7(x + 6) − 3 > 1x - 7

7x + 42 − 3 > 1x - 7

7x + 39 > 1x - 7

6x + 39 > -7

6x > -46

x > -7.67

The positive difference between the two solutions of the quadratic equation \(2x^{2}\) + 5x + 12 = 19 -7x is \(\frac{\sqrt{200} }{4}\).

We are required to determine the positive difference between the two solutions of the given quadratic equation: \(2x^{2}\) + 5x + 12 = 19 -7x

1. Move all terms to the left side of the equation to form a standard quadratic equation:

\(2x^{2}\) + 5x + 12 + 7x - 19 = 0

2. Simplify the equation: \(2x^{2}\) + 12x - 7=0.

3. Use the quadratic formula to find the solutions for x:

\(x = \frac{-b \pm \sqrt{b^{2} -4ac}}{2a}\)

where a=2, b=12, and c=-7.

4. Substitute the values:

\(x = \frac{-12 \pm \sqrt{12^{2} -4(2)(-7)}}{2(2)}\)

5. Simplify the expression:

\(x = \frac{-12 \pm \sqrt{144 + 56}}{4}\)

6. Calculate the value under the square root:

\(x = \frac{-12 \pm \sqrt{200}}{4}\)

7. Now, we have two solutions:

\(x_{1} = \frac{-12 + \sqrt{200}}{4}x_{2} = \frac{-12 - \sqrt{200}}{4}\)

8. Find the difference between the solutions:

\(x_{1} - x_{2}\) = \(\frac{\sqrt{200} }{4}\)

The positive difference between the two solutions is\(\frac{\sqrt{200} }{4}\).

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Answer:

46

Step-by-step explanation:

46 - 4 = 42

42/7 = 6

Answer:46 and 32 just did the quiz

Step-by-step explanation:

Stoke’s Theorem to evaluate the surface integral Z, The required surface integral is 1/2.

Let S = {(x, y, z)|x 2 + y 2 + z 2 = 1, x ≥ 0}

be the right half of the unit sphere.

We need to use Stoke’s Theorem to evaluate the surface integral:

∫∫S(∇ × F) · dS.

As S is the right half of the unit sphere, the equation of the sphere is given by

x^2 + y^2 + z^2 = 1.

So, the equation of the boundary curve of S, denoted by C, is the intersection of S and the plane

x = 0, which is a circle of radius 1 centered at (0, 0, 0).

Consider the vector field

F = (xy)i + (yz)j + (zx)k.

We will now calculate the curl of F, which is given by:

∇ × F= i(y-z) + j(z-x) + k(x-y).

Using Stoke’s Theorem, we have

∫∫S(∇ × F) · dS = ∫C F · dr

Where C is the boundary curve of S.

Substituting the value of F, we get

∫∫S(∇ × F) · dS = ∫C F · dr= ∫C (xy)dx + (yz)dy + (zx)dz

The equation of the boundary curve is given by x^2 + y^2 + z^2 = 1, x ≥ 0.

On the plane x = 0, we have

y^2 + z^2 = 1.

Therefore, we can parameterize C as

r(t) = cos(t)i + sin(t)j, 0 ≤ t ≤ π.

So, dx = -sin(t)dt,

dy = cos(t)dt,

dz = 0.

Hence, we get

∫∫S(∇ × F) · dS= ∫C F · dr

= ∫0π(cos(t)sin(t))(-sin(t))dt + ∫0π(sin(t)cos(t))(cos(t))dt+ ∫0π(0)(-sin(t))dt

= ∫0π-sin^2(t)cos(t)dt + ∫0π sin^2(t)dt

= -∫0πsin^2(t)dcos(t) + ∫0π sin^2(t)dt

= -[1/3 sin^3(t)]0π + [1/2t-t/4 sin(2t)]0π

= 1/2.

The required surface integral is 1/2.

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In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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