Lisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads Tim uses 9 red beads for every 6 yellow beads Is the ratio of red beads to yellow beads in lisas necklace equivalent to the ratio in tim's necklace?

The complex-expression "(-1/2)i³(√(-9) - 4) - 3i²" in simplest-form of "a + bi" can be written as  (3/2) - 2i.

In order to express the expression "(-1/2)i³(√(-9) - 4) - 3i²" in simplest form , we first simplify the exponents:

i³ = i² × i = (-1) × i = -i

i² = -1

Substituting these values in the expression,

We get,

= (-1/2)(-i)(√(-9) - 4) - 3(-1)

= (1/2)i(3i - 4) + 3      ...because √(-9) = 3i,

= (1/2)(3i² - 4i) + 3

= (1/2)(-3 - 4i) + 3

= (-3/2) - 2i + 3

= (3/2) - 2i

Therefore, the expression in the simplest "a + bi" form is (3/2) - 2i.

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The given question is incomplete, the complete question is

Write "(-1/2)i³(√(-9) - 4) - 3i²" in simplest "a + bi" form.

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

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the polynomial that represents the volume of the box is is 6x^3 +5x^2 -3x-2

V=lwh

l=x+1

w=2x+1

h=3x-2

V=(x+1)(2x+1)(3x-2)

V=(x*2x+x*1+1*2x+1*1)(3x-2)

V=(2x²+x+2x+1)(3x-2)

V=(2x²+3x+1)(3x-2)

V=2x²*3x+2x²*(-2)+3x*3x+3x*(-2)+1*3x+1*(-2)

V=6x³-4x²+9x²-6x+3x-2

V=6x³+5x²-3x-2

complete question is

Find the volume of the box. Use the formula V = lwh.

Rectangular box with sides x plus 1, 2x plus 1, and 3x minus 2.

6x3 – 2

6x3+ x – 2

6x3 – 13x2 – 3x – 2

6x3 + 5x2 – 3x – 2

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The value of w is 5

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors.

Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The ratio of the corresponding sides of similar shapes are equal.

Therefore 35/28 = w/8

w× 28 = 35 × 8

w = 35× 8/28

w = 5

therefore the value of w is 5

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Answer:

16

Step-by-step explanation:

6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.

4x=10

x=2.5

JM=15-7=8 and MK=5+3=8

8+8=16

Given:

The function is:

\(f(x)=-4(1.09)^x\)

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

\(f(x)=-4(1.09)^x\)

Putting \(x=0\), we get

\(f(x)=-4(1.09)^0\)

\(f(x)=-4(1)\)

\(f(x)=-4\)

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.

Answer:

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

Answer:

the given equation is

y= 1÷4x +5

now,

slope = 1÷4

and

y intercept= - 5÷ 1÷4

= -5÷ 4

Answer:

2x+5

Step-by-step explanation:

X represents the number in "2 times a number." You could insert any number into x.

Thus, the long-distance moving company charges $68 per mover-hour.

To determine the charge per mover and per hour for a local and long-distance move, let us first find the hourly rate for each of the moves.

If for a local move 3 movers were hired for 2 hours, the total time the movers would have worked would be:3 movers * 2 hours = 6 mover-hour sIf the charge for the move was $480, the hourly rate for this move would be:$480/6 mover-hours = $80 per mover-hour

Thus, the local moving company charges $80 per mover-hour. Similarly, if for a long-distance move 5 movers were hired for 2 hours, the total time the movers would have worked would be:5 movers * 2 hours = 10 mover-hoursIf the charge for the move was $680,

the hourly rate for this move would be: $680/10 mover-hours = $68 per mover-hour Thus, the long-distance moving company charges $68 per mover-hour.

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Answer:

x = 6 x 7 = 42

Step-by-step explanation:

hope this helps

Answer:

\( \frac{x}{6} = 7 \\ x = 6 \times 7 \\ x = 42\)

Answer:

He's wrong.

Step-by-step explanation:

30% of 50 is 3/10 * 50 = 15
50% of 30 is 1/2 * 30 = 15
As you can see, 30% of 50 is the same as 50% of 30.

The answer as a fraction in simplest form is 1 39916800.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

n = 12 and r = 7,

so the number of possible outcomes is:

12 P 7 = 12! ( 12 − 7)! = 12! 5! = 39916800

The number of favorable outcomes is only one, since there is only one way to select the paintings in the same order as the artist displays them. Therefore, the probability of selecting the paintings in the same order as the artist displays them on the first day is:

P ( event) = number of favorable outcomes number of possible outcomes = 1 39916800

This fraction cannot be simplified further, so this is the final answer. The probability is very small, which makes sense because it is very unlikely to randomly select 7 paintings in the same order as the artist displays them.

Therefore, by probability the solution will be 1 39916800.

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The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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Answer:

Quadrant II

General Formulas and Concepts:

The top right square of the Cartesian Plane is the First Quadrant.

The top left square of the Cartesian Plane is the Second Quadrant.

The bottom left square of the Cartesian Plane is the Third Quadrant.

The bottom right square of the Cartesian Plane is the Fourth Quadrant.

Read the Cartesian Plane counterclockwise starting from the top right.

Step-by-step explanation:

Step 1: Define

(-5, 4)

x = -5

y = 4

Step 2: Find

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

Swimming pool

Step-by-step explanation: yards can be considered due to the size of a standard swimming pool.

We can infer that the function's vertex is (0, 0) because its terminus is located at the origin (0, 0). As a result, k = 0 and h = 0.

We can start by figuring out the fundamental structure of a radical function, and then apply the knowledge we have gained to solve for the particular problem.

A radical function's generic form is given by:

f(x) = a√(x - h) + k

f(x) = a√(x - 0) + 0

f(x) = a√x

3 = a√(-16)

3 = a√(-1)√16

3 = a√(-1)4

Since the square root of -1 is denoted as "i" (imaginary unit), we have:

3 = 4ai

Solving for a:

a = 3/(4i)

As a result, the radical function's equation, which has its terminus at the origin and passes through the point (-16, 3), is as follows: f(x) = (3/(4i))√x

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In order to get standard deviation of 15. Subtract 68 from everybody's score, then divide these values by 15.

The square root of the variance is used to determine the standard deviation. An alternative method of calculating it is to identify the mean of a data set, compare each data point to the mean, square the differences, add them all together, divide by the number of points in the data set minus 1, and then compute the square root.

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Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class's scores had a mean of 68 and a standard deviation of 15. What transformations should he apply to each test score? Explain.

T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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Answer:

\(r^4 * r^3\\r^7\)

True. The values that can be entered into a field are determined by the data type of the field.

The data type specifies what type of data can be stored in the field, such as text, numbers, dates, or boolean values. This helps ensure data consistency and accuracy within the field.
Field values that may be entered into a field are determined by the data type of the field. The data type defines the kind of values that can be stored in that specific field, ensuring that the information entered is consistent and accurate.

Data are collected by techniques such as measurement, observation, interrogation or analysis and are often represented as numbers or symbols that can be further processed. Data fields are data stored in unmanaged fields. Test data is data created during the execution of the test. Data analysis uses techniques such as computation, reasoning, discussion, presentation, visualization, or other post-mortem analysis. Before analysis, raw data (or raw data) is usually cleaned: outliers are removed and obvious devices or incorrect input data are corrected.

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Mean of the sampling distribution: 36,

Standard deviation of the sampling distribution: 1.897,

The sampling distribution is approximately normal,

Probability that the mean of a single sample is at least 35: 0.7734, Proportion of sample means between 30 and 35: 0.3632.

Mean and standard deviation of the sampling distribution:

The mean of the sampling distribution is equal to the mean of the population, which is 36.

The standard deviation of the sampling distribution, also known as the standard error of the mean, is calculated as the population standard deviation divided by the square root of the sample size. In this case, it is 12 / √40.

Shape of the sampling distribution:

The sampling distribution of the sample mean tends to follow a normal distribution, regardless of the shape of the population distribution, due to the central limit theorem. Therefore, the shape of this sampling distribution is expected to be approximately normal.

Probability that the mean of a single sample is at least 35:

To find this probability, we can standardize the value using the formula

z = (x - μ) / (σ / √n),

where x is the value of interest (35), μ is the mean of the sampling distribution (36), σ is the standard deviation of the sampling distribution, and n is the sample size (40). Then, we can use the standard normal distribution table or calculator to find the corresponding probability.

Proportion of sample means between 30 and 35:

Similarly, we can standardize the values of 30 and 35 using the formula mentioned above and find the corresponding z-scores. Then, we can use the standard normal distribution table or calculator to find the probabilities for each z-score. Finally, we subtract the probability corresponding to the z-score of 30 from the probability corresponding to the z-score of 35 to obtain the proportion of sample means between 30 and 35.

Therefore, by following these steps, you can determine the mean and standard deviation of the sampling distribution, understand the shape of the sampling distribution, and calculate the probabilities related to the mean of a single sample and the proportion of sample means within a specific range.

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Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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Answer:

Answers given in the photo

Answer:

B

Step-by-step explanation:

The y-intercept shown in the image is -1.

The only option that has a -1 as its y-intercept is B.

y = 1/2x - 1

Answer:

7

Step-by-step explanation:

10 minus 3 will give you the number

Answer:

7

Step-by-step explanation:

let the number added to 3 be 'x'

we know;

X+3=10

X=10-3

X=7

Weighing using a tared container is not appropriate due to the potential for errors and inaccuracies. This method can impact the results by introducing uncertainties in the measurements.

Using a tared container involves placing the substance to be weighed on a container that has already been weighed and then subtracting the weight of the container to obtain the weight of the substance alone. While this method is commonly used for qualitative analysis or when the accuracy requirements are not strict, it is not suitable for quantitative preparation where precise measurements are essential.

The use of a tared container introduces several potential sources of error. First, the accuracy of the tare weight might not be exact, leading to uncertainties in subsequent measurements. Additionally, the tare weight may change over time due to factors like evaporation or contamination, further affecting the accuracy of subsequent measurements. Moreover, the process of transferring the substance to the tared container introduces the risk of loss or gain of material, leading to errors in the final measurements.

Overall, relying on weighing with a tared container for quantitative preparation can result in inaccurate quantities of the substance being weighed, compromising the reliability and reproducibility of experimental results. Therefore, more precise weighing techniques, such as using calibrated weighing balances or analytical techniques, should be employed for quantitative preparations.

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0.017 m/min is the height of increasing water.

What is the volume of a cylinder?

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material.

Formula to calculate the volume of a cylinder

volume = π r² h

where r is the radius of the cylinder and h is the height.

Here, we have

radius = 6m

dV/dt = 3

We have to find:  dh/dt

volume = π r² h

Differentiating both sides with respect to t, we get

dV/dt = π[2r(dr/dt)h + r²(dh/dt)]

r remains constant (r = 6), dr/dt = 0

So, dV/dt = πr²(dh/dt)

Substituting the values, we get

2 = π(6)²(dh/dt)

dh/dt = 2/(36π)

= 0.017m/min

Hence, 0.017 m/min is the height of increasing water.

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Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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