I WILL MAKE YOU BRAINLESS
Evaluate a/b for a = 1/2 and b = -3/7
please explain your answer

21/10 divided by 2 4/5 represents the time spent on a shift

The given parameters are

Time = 21/10

Shifts = 2 4/5

This means that:

21/10 divided by 2 4/5 represents:

Time/Shift

i.e. time per shift

Hence, 21/10 divided by 2 4/5 represents the time spent on a shift

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Answer:

the lenght on each sift

Step-by-step explanation:

The unit rate for each shirt if 24 shirts cost $259.36 as required to be determined is; $10.81.

It follows from the task content that the unit rate is to be determined if 24 shirts cost $259.36.

On this note, it follows that; the unit rate is given by the quotient;

Unit rate = Total cost / No. of units

Unit rate = 259.36 / 24

Unit rate = 10.80667.

Ultimately, the unit rate of the shirts as required is; $10.81.

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Answer:

x=8

Step-by-step explanation:

4+4=x

4+4=8

x=8

Answer:

12

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = \(\sqrt{144\)

x = 12

Answer:

x=52

Step-by-step explanation:

One of the properties of parallelograms is that angle A = Angle C

5y-54 = 3x eq1

Another property of parallelograms is that angle A + angle B = 180 degrees

5y-54+2y-60 = 180

7y = 180+114 = 294

y = 42

Putting this value in eq1

3x = 5*42-54 = 210-54 = 156

x = 52

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

Answer:

8 students

Step-by-step explanation:

Number of people who voted for dogs:

12

Number of people who voted for fish:

4

We find the difference between the 2:

12 - 4 = 8

Answer:

8 students voted for dogs than fish.

Step-by-step explanation:

so if we look at the graph 12 students voted for dogs and 4 students voted for fish. so now we have to subtract both of these numbers to find how many more students voted for dogs than fish.

12 - 4 = 8

Have a nice day!

This is my 200th answer!!!

The critical numbers of the function h(p) = (p - 1) / (p^2 - 5) are "dne" (does not exist).

To find the derivative of h(p), we can apply the quotient rule. Taking the derivative, we have:

h'(p) = \([(p^2 - 5)(1) - (p - 1)(2p)] / (p^2 - 5)^2\)

Simplifying this expression, we get:

h'(p) = \((p^2 - 5 - 2p^2 + 2p) / (p^2 - 5)^2\)

= \((-p^2 + 2p - 5) / (p^2 - 5)^2\)

To find the critical numbers, we set h'(p) equal to zero and solve for p:

\(-p^2 + 2p - 5 = 0\)

However, this quadratic equation does not factor easily. We can use the quadratic formula to find the solutions:

p = (-2 ± √\((2^2 - 4(-1)(-5))) / (-1)\)

p = (-2 ± √(4 - 20)) / (-1)

p = (-2 ± √(-16)) / (-1)

Since the discriminant is negative, the equation has no real solutions. Therefore, the critical numbers of the function h(p) = (p - 1) / (\(p^2\) - 5) are "dne" (does not exist).

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To evaluate the triple integral E(\(x^2+y^2\))dV, we can use spherical coordinates. Let's assume that the region of integration is centered at the origin (0,0,0) and we get (1/4)π.

In spherical coordinates, the equation of the sphere \(x^2 + y^2 + z^2 = 1\)can be written as:

\(r^2 = (x^2 + y^2 + z^2)^2 - 4x^2y^2 - 4y^2z^2 - 4z^2x^2\)

This can be rewritten as:

\(r^2 = x^2 + y^2 + z^2 - 2(x^2y^2 + y^2z^2 + z^2x^2)\)

We can then write the triple integral in spherical coordinates as:

We can evaluate the triple integral by first evaluating the integrals over the xy and yz planes, and then evaluating the integral over the z axis. The integrals over the xy and yz planes can be evaluated using the following identities:

∫\((1 + t^2)^{(-1/2)}dt = exp(-t^2/(1+t^2))dt = (1/(1+t^2)) - 1/2 (1+t^2)^{(-3/2)\)

∫\(r^2\) sinθ dθ = 2π\(r^2\)

to eliminate the integral over the z axis:

\(= (1/4)pi(2/3)r^8[r^2(1 + r^2)^(-8) - (1 + r^2)^(-8)]\\= (1/4)pi(2/3)r^8[r^2 - 1 + 8r^6]\\\\= (1/4)pi(2/3)r^8[r^2 - 1 + 8r^6 + 8r^8 - 8r^{10}]\\= (1/4)pi(2/3)r^8[r^2 - 1 + 8r^6 + 8r^8 - 8r^{10}\]\\= (1/4)pi(2/3)r^8[r^2 - 1 + 8r^6 + 8r^8 - 8r^{10}]\\= (1/4)pi\)

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Answer:

22

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

26 is the greatest number because 5.2 is a single digit and has lower value than 26.

26 > 5.2

Hope this helps!

Answer:

10 grams

Step-by-step explanation:

15/5  = 3 half lives

80/2³ = 10 grams

The final values of the angles are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

Here, we have,

To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.

Comparing the expressions:

x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)

x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)

We can match the constant terms:

C0 = A0 = 2

For the terms involving sin(wt):

C1sin(wt+theta1) = B1sin(w*t)

We can equate the coefficients:

C1 = B1 = -7

For the terms involving sin(2wt):

C2sin(2wt+theta2) = B2sin(2wt)

Again, equating the coefficients:

C2 = B2 = -7

Now let's determine the angles theta1 and theta2 in degrees.

For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:

C1sin(wt+theta1) = -7sin(wt)

Since the coefficients match, we can equate the arguments inside the sin functions:

wt + theta1 = wt

This implies that theta1 = 0.

Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:

C2sin(2wt+theta2) = -7sin(2w*t)

Again, equating the arguments inside the sin functions:

2wt + theta2 = 2wt

This implies that theta2 = 0.

Therefore, the final values are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

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A pair of dice is rolled.

Each dice has 6 outcomes.

So, the total number of outcomes for a pair of dice is 6×6 = 36

These 36 outcomes are given below

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The probability that you roll an even number is given by

There are 9 such outcomes where you can have an even number

(2, 2) (2, 2) (2, 6) (4, 2) (4, 4) (4, 6) (6, 2) (6, 4) (6, 6)

The probability that you roll a 3 is given by

There are 11 such outcomes where you can roll a 3

(1, 3) (2, 3) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 3) (5, 3) (6, 3)

Finally, the probability that you roll an even number or a 3 is

Therefore, the probability is 5/9

a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).

b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).

c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).

To develop confidence intervals for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

where the standard error is equal to the sample standard deviation divided by the square root of the sample size.

a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.

From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.

The standard error can be calculated as:

Standard Error = sample standard deviation / sqrt(sample size)

Standard Error = 4.4 / sqrt(56)

Standard Error ≈ 0.5882

Now we can calculate the confidence interval:

Confidence Interval = 22.5 ± (1.671 * 0.5882)

Confidence Interval = 22.5 ± 0.9816

Confidence Interval ≈ (21.52, 23.48)

b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.004 * 0.5882)

Confidence Interval = 22.5 ± 1.178

Confidence Interval ≈ (21.322, 23.678)

c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.678 * 0.5882)

Confidence Interval = 22.5 ± 1.574

Confidence Interval ≈ (20.926, 24.074)

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Answer:

the rate of change from 4 to 8 is 4

Step-by-step explanation:

you can find this by subtracting the first number from the secone number and if the two numbers were in a diffrent order being 8 and 4 the answer would still be 4 because when you subtract 8 from 4 you ger-4 but with rate of change you always use the absolute value

hope this helped

Answer:

Slope: 6

Y-intercept: 4

Equation: y=6x+4

Step-by-step explanation:

For slope you do change in y over change in x so its 10-4/1-0 in this case which gets you 6/1 or 6 for your slope

It crosses the y-axis at (0,4) so your y-intercept is 4

The base equation is y=mx+b m is slope b is y-intercept so you plug in your values and get y=6x+4

Hamiltonian due to interaction of spin magnetic field:

H = -u.B

H = α/√2\(\left[\begin{array}{ccc}1&1\\1&-1\\\end{array}\right]\)

What is a matrix?

In mathematics, a matrix (multiple matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, and used to represent mathematical objects or properties of such objects. The

matrix represents a linear mapping without additional information and allows explicit computation in linear algebra. The study of matrices is therefore a large part of linear algebra, and most properties and operations in abstract linear algebra can be expressed in matrices. For example, matrix multiplication represents the construction of linear maps.

Not all matrices are related to linear algebra. This is especially true for graph theory, occurrence matrices, and adjacency matrices. This article focuses on matrices in the context of linear algebra. Unless otherwise stated, all matrices either represent linear maps or can be considered linear maps.

Square matrices (matrices with the same number of rows and columns) play an important role in matrix theory. Square matrices of a given dimension form non-commutative rings, one of the most common examples of non-commutative rings. The determinant of a square matrix is ​​the numerical value associated with the matrix that underlies the study of square matrices. For example, a square matrix has nonzero determinant and is invertible only if the eigenvalues ​​of the square matrix are the roots of the polynomial determinant.

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The average rate of change is given by:

For p(x):

For m(x):

For q(x):

For n(x):

Therefore, the function which has an average rate of change of -4 over the interval [-2,2] is p(x).

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

To compute the numerical value of the definite integrals, we can use numerical methods such as the midpoint rule, trapezoidal rule, or Simpson's rule.

These methods approximate the integral by dividing the interval into smaller subintervals and evaluating the function at specific points within each subinterval.

By increasing the number of subintervals, the approximation gets closer to the exact value of the integral. To assess the accuracy of the approximation, we can compare the computed values with known exact values or reference values obtained through more precise techniques.

By analyzing the convergence of the approximation as the number of subintervals increases, we can determine the number of correct digits in the computed value.

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Complete Question

Compute the numerical value of the following definite integrals using numerical methods and create tables to explain the number of correct digits obtained:

a) ∫[-1, 1] arctan(x)dx

b) ∫[0, π] sin^2(x/2)dx

c) ∫[0, 2] ln((x^2+1)/x)dx

Use numerical methods such as the midpoint rule, trapezoidal rule, or Simpson's rule to approximate the integrals. Determine the number of correct digits by comparing the computed values with known exact values or reference values. Create tables to show the convergence of the approximation as the number of subintervals increases.

Answer:

45 hope this helps have a nice day please give me brainliest :))

Step-by-step explanation:

The confidence multiplier z* for constructing a 97% confidence interval is approximately 2.170.

To find the value of the confidence multiplier z* for constructing a 97% confidence interval, we need to refer to the standard normal distribution (also known as the Z-distribution) table or use statistical software.

In a standard normal distribution, the confidence level is represented by the area under the curve. For a 97% confidence interval, we want to find the value of z* such that the area between -z* and z* under the curve is 0.97.

The area to the right of z* under the standard normal curve is (1 - 0.97) / 2 = 0.015, and the corresponding z-value can be found using a standard normal distribution table or software.

Looking up the z-value for an area of 0.015 in the table, we find that z* is approximately 2.170. Therefore, the confidence multiplier z* for constructing a 97% confidence interval is approximately 2.170.

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The confidence multiplier z* for constructing a 97% confidence interval is 2.17

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

97% confidence interval

The confidence multiplier z* different constant values at different confidence interval

And they can be calculated using the standard normal distribution table

Using a standard normal distribution table, we have

z* = 2.17

Hence, the confidence multiplier z* is 2.17

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The domain  -∞ ≤ x ≤ +∞ and range is -3≤ x ≤ 1.

All input values shown on the x-axis make up a graph's domain. The y-axis on a graph represents the possible output values, or range.

The domain would be determined by the set of all x-coordinates at all curve points, and the range would be determined by the set of all y-coordinates at all curve points. Both a set and an interval can be used to express each domain and range.

According to the domain is

from -∞ on left side and reaches to +∞ on the right side

So, domain is -∞ ≤ x ≤ +∞

Now, the range of the graph is -3 to 1

So, -3≤ x ≤ 1

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Answer:

x = ± 2/3

Step-by-step explanation:

9x^2 = 4

Divide each side by 9

9/9x^2 = 4/9

x^2 = 4/9

Take the square root of each side

x = ±sqrt(4/9)

x = ± 2/3

9x^2=4

/9       /9

x^2=4/9

sqrt both sides

x=+/-\(\sqrt{4/9}\)

x=+/-(\(\frac{\sqrt{4} }{\sqrt{9} }\))

x=+/-2/3

Answer:

x=2/3, x=-2/3

Answer:

ectangles, rhombuses (also called rhombi) and squares are all more specific versions of parallelograms, also called special parallelograms. A quadrilateral is a rectangle if and only if it has four right (congruent) angles.

Step-by-step explanation:

i hope it's right

Answer:

interesting

you play cod

I don't believe it

The dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 34.34 ft.

To find the dimensions of the tank with minimum weight, we need to consider the relationship between the volume of the tank and the weight of the sheet steel.

Let's assume the side length of the square base of the tank is x, and the height of the tank is h.

The volume of the tank is given as 8788 ft³, so we have the equation x²h = 8788.

To determine the weight, we need to consider the surface area of the tank. Since the tank has an open top and a square base, the surface area consists of the base and four sides.

The base area is x², and the area of each side is xh. Therefore, the total surface area is 5x² + 4xh.

The weight of the sheet steel is directly proportional to the surface area. Thus, to minimize the weight, we need to minimize the surface area.

Using the equation for volume, we can express h in terms of x: h = 8788/x².

Substituting this expression for h into the surface area equation, we have A(x) = 5x² + 4x(8788/x²).

Simplifying the equation, we get A(x) = 5x² + 35152/x.

To find the dimensions of the tank with minimum weight, we need to minimize the surface area. This can be achieved by finding the value of x that minimizes the function A(x).

We can differentiate A(x) with respect to x and set it equal to zero to find the critical points:

A'(x) = 10x - 35152/x² = 0.

Solving this equation, we get x³ = 3515.2, which yields x ≈ 14.55.

Since the dimensions of the tank need to be positive, we discard the negative solution.

Therefore, the dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 8788/(14.55)² ≈ 34.34 ft.

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If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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The value of the equation given R = x(A + B) is B. B=(R-Ax)/x

A linear equation is any expression in which the highest power of the unknown is 1

From the expression R = x(A + B)

By expanding the bracket R=Ax+Bx

By re-arranging the equation and making Bx the subject matter Bx=R-Ax

Dividing both sides of the equation by xBx/x=(R-Ax)/x

Therefore B=(R-Ax)/x

Hence, Option b is the correct answer to the question

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Answer:

Step-by-step explanation:

48 times for the green fabric

32 for blue