Solve this formula for w

Answer:

The total weight of one die, one ball, and one marble is 75 grams.

Step-by-step explanation:

Consider the provided information.

Let d represents the number of dice, b represents the number of balls and m represents the number of marbles.

So according to the question.

The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams.

\(2d+5b+4m=260\)  ....(1)

The combined weight of one die and one marble was 55 grams.

\(d+m=55\)

\(m=55-d\)  ....(2)

3 balls weighed the same as two dice.

\(3b=2d\)

Multiply both sides by 5 and divide by 3.

\(5b=\frac{10}{3}d\)  .....(3)

Now put the value of equation 2 and 3 in equation 1.

\(2d+\frac{10}{3}d+4(55-d)=260\)

\(2d+\frac{10}{3}d+220-4d=260\)

\(\frac{6d+10d-12d}{3}=40\)

\(4d=120\)

\(d=30\)

Put d=30 in equation 2.

\(m=55-30\)

\(m=25\)

Put d=30 in equation 3.

\(5b=\frac{10}{3}\times 30\)

\(5b=100\)

\(b=20\)

The total weight (in grams) of one die, one ball, and one marble is:

\(d+m+b=25+20+30\)

\(d+m+b=75\)

The total weight of one die, one ball, and one marble is 75 grams.

Answer:

20

Step-by-step explanation:

The lower quartile Q₁ is the value at the left side of the box, that is

Q₁ = 20

Answer:

19 hours 20 minutes

Step-by-step explanation:

If d represents how many dozens of eggs were ordered, then the expression that represents the number of eggs that were ordered is 12d. Therefore, if we order d dozen of eggs, we will have 12 * d eggs.

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The arithmetic sequence with a first term of 14, a common difference of 3, and the 14th term being 42 can be described by the formula: aₙ = 14 + (n - 1) * 3.

In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. The general formula for the nth term of an arithmetic sequence is given as aₙ = a₁ + (n - 1) * d, where aₙ represents the nth term, a₁ is the first term, n is the position of the term in the sequence, and d is the common difference.

Given that a₁₄ = 42 and d = 3, we can substitute these values into the formula to find the nth term. Plugging in the values, we have a₁₄ = 14 + (14 - 1) * 3, which simplifies to 14 + 13 * 3, resulting in a₁₄ = 14 + 39 = 53. Therefore, the 14th term of the arithmetic sequence is 42.

To graph the first six terms of the sequence, we can substitute n = 1, 2, 3, 4, 5, and 6 into the formula. The corresponding terms are as follows:

a₁ = 14 + (1 - 1) * 3 = 14

a₂ = 14 + (2 - 1) * 3 = 17

a₃ = 14 + (3 - 1) * 3 = 20

a₄ = 14 + (4 - 1) * 3 = 23

a₅ = 14 + (5 - 1) * 3 = 26

a₆ = 14 + (6 - 1) * 3 = 29

Plotting these values on a graph, we would have the following points: (1, 14), (2, 17), (3, 20), (4, 23), (5, 26), and (6, 29). Connecting these points would result in a straight line with a positive slope, representing the arithmetic sequence.

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On the left I make the integral with respect to P and on the right the integral with respect to t

we use e to simplify Steps to constant

now, solve P

to find c we use P(0)=4, so when we replcae t=0 the soltuion must be 4

the complete function is

or

so, the right option is C

Answer:

So I (3,0) becomes I' (1,3)

H (5,2) H' (1,1)

G (2,4) G' (2,1)

Step-by-step explanation:

So let's start with I, just count how many times you move to the left then how many times you move up.

UR WELCOME BABEEEE~ <3

According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.

Let the money returned = R

economics classes = E

other classes = O

a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)

b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)

c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).

d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.

e).  According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

The complete question is:

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.

From

the business, psychology, and history classes 31% were returned.

Let: R = money returned; E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

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Answer:

y = 4x + 9, y = -3x - 5

y = 2x + 5, y = 5x + 11

and y= 3x + 7, y = -x - 1

I just did this on Plato/Edmentum xD

The system of equations that intersect at point A = (-2, 1) is:

y = 4x + 9

y = -3x - 5

y = 2x + 5

y = 5x + 11

y = 3x + 7

y = -x - 1

We have,

Let's substitute the coordinates (-2, 1) into each equation to find the correct system of equations:

y = 10x - 1

Substituting (-2, 1):

1 = 10(-2) - 1

1 = -20 - 1

1 = -21 (Not satisfied)

y = 4x + 9

Substituting (-2, 1):

1 = 4(-2) + 9

1 = -8 + 9

1 = 1 (Satisfied)

y = -3x - 5

Substituting (-2, 1):

1 = -3(-2) - 5

1 = 6 - 5

1 = 1 (Satisfied)

y = 2x + 5

Substituting (-2, 1):

1 = 2(-2) + 5

1 = -4 + 5

1 = 1 (Satisfied)

y = x - 1

Substituting (-2, 1):

1 = -2 - 1

1 = -3 (Not satisfied)

y = 5x + 11

Substituting (-2, 1):

1 = 5(-2) + 11

1 = -10 + 11

1 = 1 (Satisfied)

y = 3x + 7

Substituting (-2, 1):

1 = 3(-2) + 7

1 = -6 + 7

1 = 1 (Satisfied)

y = -x - 1

Substituting (-2, 1):

1 = -(-2) - 1

1 = 2 - 1

1 = 1 (Satisfied)

Thus,

The system of equations that intersect at point A = (-2, 1) is:

y = 4x + 9

y = -3x - 5

y = 2x + 5

y = 5x + 11

y = 3x + 7

y = -x - 1

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Based on the analysis of the frequency responses, none of the given filters (H1, H2, H3, H4) can be classified as GLP filters since they do not have the required structure of R(ω)e^(j(α−mω)).

To determine whether a filter is a GLP (Generalized Linear Phase) filter, we need to examine its frequency response and verify if it can be expressed in the form:

Hd(ω) = R(ω)e^(j(α−mω))

where R(ω) is a real function, α is a constant phase shift, and m is a constant slope.

Let's consider the following filters:

H1(ω) = 2e^(jω)

H2(ω) = e^(jω) + e^(-jω)

H3(ω) = 3e^(jω) + 4e^(-jω)

H4(ω) = 5e^(jω) - 5e^(-jω)

For each filter, we need to determine if its frequency response can be written in the form mentioned above.

H1(ω) = 2e^(jω):

This filter does not satisfy the GLP form because the frequency response does not have the required structure of R(ω)e^(j(α−mω)). It lacks the term for a constant slope.

H2(ω) = e^(jω) + e^(-jω):

Similarly, this filter does not satisfy the GLP form because it lacks the term for a constant slope.

H3(ω) = 3e^(jω) + 4e^(-jω):

This filter also does not satisfy the GLP form as it lacks the term for a constant slope.

H4(ω) = 5e^(jω) - 5e^(-jω):

Again, this filter does not satisfy the GLP form due to the absence of the term for a constant slope.

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

1/2 a minute (30 seconds)

Step-by-step explanation:

475/50=9.5

450/50=9

9-9.5=.5

Answer:

A

Step-by-step explanation:

Each standard deviation from the mean covers 34.1 %

 2 x 34.1 = 68.2%   or  .682

Answer: Another factor is 3x + 5.

Step-by-step explanation:

please view the attachment for the steps.

The other factor of the polynomial (6x² + x - 15) would be (3x + 5). Hence option 2 is true.

Given that the polynomial is,

6x² + x - 15

And, The polynomial has a factor of 2x - 3.

Now apply the factorization method to solve for the  factor,

6x² + x - 15

6x² + (10 - 9)x - 15

6x² + 10x - 9x - 15

2x (3x + 5) - 3 (3x + 5)

(2x - 3) (3x + 5)

Since The polynomial has a factor of 2x - 3.

Hence, the other factor would be (3x + 5). So option 2 is true.

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The given vectors are: u = (20 + i, i, 2)v = (1 + i, 2, 41)The dot product of u and v is:u.v = (20 + i)(1 + i) + (i)(2) + (2)(41 - 1)= 20 + 20i + i + i² + 2i + 80= 101 + 22i

To find the imaginary part of u.v, we can simply extract the coefficient of i, which is 22. Hence, the imaginary part of u.v is 22. Therefore, the answer is rounded off to 22.00.

A quantity or phenomenon with two distinct properties is known as a vector. magnitude and course. The mathematical or geometrical representation of such a quantity is also referred to by this term. In nature, velocity, momentum, force, electromagnetic fields, and weight are all examples of vectors.

A movement from one point to another is described by a vector. Direction and magnitude (size) are both properties of a vector quantity. A scalar amount has just greatness. An arrow-labeled line segment can be used to represent a vector. The following describes a vector between two points A and B: A B → , or .

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The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

7.47 inches

Step-by-step explanation:

0.8 in : 1.5 ft

14 ft / 1.5 ft

9.33

9.33 x 0.8

7.464

Answer:

b

Step-by-step explanation:

the answer is 7.47 inches

Answer:

2 in A 0 in B

Step-by-step explanation:

Vertical and horizontal numbers add up to 8, going by this logic, it's 2 and 0.

The Fourier transform of an ideally sampled signal, denoted x p(jω), is given as shown below:

x p(jω) = (2π/Ts)∑[X(j(ω - 2πk/Ts))], where Ts is the sampling interval, k is an integer, and X(jω) is the Fourier transform of the continuous signal.

The Fourier transform of an ideally sampled signal with a frequency spectrum having only a single sine wave can be derived. Consider a sinusoidal wave signal as follows: x t = A sin (ω0t). The Fourier transform for this equation can be found by substituting this equation into the Fourier transform formula to obtain the following:

x(jω) = π/ j[δ (ω - ω0) - δ (ω + ω0)]. Next, the signal is sampled in a perfect manner, which means that the sampling interval equals the period of the sinusoid, which is given as follows:

t s = 1/ω0Substituting t s into the Fourier series formula: x s(jω) = (2π/t s) * ∑[X(j(ω - 2πk/t s))].

This demonstrates that sampling produces frequency components in both the positive and negative frequencies.

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Answer:

1. 35 2. 145 3. 35 4. 90 5. 145

Step-by-step explanation:

Answer:

u think its A if not sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since these two are similar triangles, we can set up a proportion, and solve for x.

x is to 2, as x+x+2 is to 3+2 :

\(\frac{x}{2}=\frac{2x+2}{5}\)

Now solve for x, by cross multiplying

x*5=2(2x+2)

5x=4x+4

Subtract by 4x on both sides

x=4

Set up a ratio to see if the answer's correct:

\(\frac{4}{2}=\frac{6}{3}\)

\(2=2\)

Since the ratios are equal, x=4.

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Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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There are 5 possibilities:

a. That particular ad scored 140 percent above comparable ads.

b. That particular ad scored 40 percent above comparable ads.

c. The percentage of respondents who read half or more of the written material in the ad was 40 percent.

d. The percentage of respondents who recalled seeing the ad was 40 percent.

e. That particular ad is capable of generating market share gains of 40 percent.

The purpose of the Starch Service is to report to what extent a client's magazine advertisements are seen and read. Using Starch, a client can compare the readership of current advertisements with past advertisements, or competitors advertisements. One use for the service is that it provides information as to how advertisements can be presented so that readership can be increased by the manipulation of various elements of magazine advertising included in the reports.

The answer is option (b): That particular ad scored 40 percent above comparable ads.

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Answer:

Step-by-step explanation:

See the solution in steps:

Answer:

A=314 feet

Step-by-step explanation:

\(A=\pi r^{2}\)

\(A=3.14*10^{2}\)

\(A=3.14*100\)

\(A=314 feet\)