Given the triangle ABC, what is the measure of angle B?
38.612
81.853
6.214
64.147

Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation:

The expression in product-of-sums is A⋅B + A⋅B + B⋅C.

To convert the expression to product-of-sums form, we need to distribute the AND (∧) operator over the OR (∨) operator.

The given expression is: A⋅B+A⋅B+B⋅C

First, let's apply the distributive property:

A⋅B+A⋅B+B⋅C = (A⋅B + A⋅B) + B⋅C

Next, we can factor out common terms within each grouping:

(A⋅B + A⋅B) + B⋅C = A⋅(B + B) + B⋅C

Simplifying further, we have:

A⋅(B + B) + B⋅C = A⋅B + A⋅B + B⋅C

Now, the expression is in product-of-sums form. It can be written as:

A⋅B + A⋅B + B⋅C

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Answer:

49 = 7 x 7

Step-by-step explanation:

if we factor out 49 into its prime factors, we will get

49 = 7 x 7

(this is the answer)

Alternatively, we can recall from our multiplication tables that 49 = 7² = 7 x 7 (which gives the same answer)

Answer:

7² or 7x7

Explanation:

The prime is any number that can only be divided by itself or by one. One is not a cousin. The only prime pair is 2, all the others are unpaireds.

7/7 = 1. 7/1 = 7

7x7 = 49 or

7² = 49.

Other examples;

9 = 3²

25 = 5²

Answer:

x is 0.

9(0) - 7 = -7

Step-by-step explanation:

Answer: X=0

Step-by-step explanation:

Data: 9x-7=7

Step one, Add 7 to both sides

9x-7+7=-7+7=9x=0

The reason you do this is that your trying to isolate x so by adding 7, you get rid of the -7 right by 9x and since what you do to one side you do to the other, you add 7 to the other -7 as well to get 0

Step two, Divide by 9 on both sides

9x/9=0/9=x=0

The reason for this is that your trying to isolate x and by dividing by 9, you take out the 9 next to the x. However what you do to one side you have to do to the other so you divide 0 by 9 as well

Answer: X=0

I hope this helps!

Answer:

A

Step-by-step explanation:

took the test

The given graph respresents the function of y = 2cos(2x)+1

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the cosine  function we took,

It is clear from the graph that the function plotted is 2 times greater than the standard function i.e. cos (x)

In cos (x) ⇒ we have maxima at (0, 1)

in the graph, ⇒ we have maxima at  (0, 3)

there is a change in the graph concerning the standard cos graph.

Hence, the graph given is 2cos(2x)+1

2cos(2x)+1 is the function represented in the graph.

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To force a reaction to move forward and create more product, there are several strategies you can employ:

1. Increase the concentration of reactants: According to Le Chatelier's principle, increasing the concentration of reactants will shift the equilibrium towards the product side, promoting the forward reaction.

2. Remove products from the reaction environment: By continuously removing the products as they are formed, you can prevent the reverse reaction and push the equilibrium towards the forward reaction to produce more product.

3. Increase the temperature: In many cases, raising the temperature of a reaction will increase the reaction rate and favor the forward reaction, resulting in higher product yields. However, this may not apply to all reactions, as some reactions may be endothermic and require lower temperatures for optimal results.

4. Use a catalyst: Catalysts are substances that speed up the reaction without being consumed in the process. They provide an alternative pathway with lower activation energy, making it easier for the reaction to proceed. By introducing a catalyst, you can enhance the forward reaction and increase the product formation.

5. Adjust the pressure: For reactions involving gases, changing the pressure can influence the equilibrium position. Increasing the pressure may favor the side with fewer moles of gas, which can drive the reaction forward and increase the product yield.

It is important to note that the effectiveness of these methods depends on the specific reaction and its equilibrium constants. It is advisable to consult the relevant literature or seek the guidance of a chemist or chemical engineer when attempting to optimize a particular reaction.

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To calculate the value of the test statistic, we need to use the sample results provided: d-bar = 6.9, sD = 7.8, and n = 10. The value of the test statistic is approximately 1.983.

Given:

Sample mean difference (d-bar) = 6.9

Sample standard deviation of the differences (sD) = 7.8

Sample size (n) = 10

To calculate the test statistic, we can use the formula for the t-statistic:

t = (d-bar - μD) / (sD / sqrt(n))

where d-bar is the sample mean difference, μD is the hypothesized mean difference under the null hypothesis, sD is the sample standard deviation of the differences, and n is the sample size.

In this case, the null hypothesis (H0) states that μD is less than or equal to 2. Since the alternative hypothesis (HA) is μD > 2, this is a one-tailed test.

Plugging in the values into the formula:

t = (6.9 - 2) / (7.8 / sqrt(10))

t = 4.9 / (7.8 / 3.162)

t = 4.9 / 2.471

t ≈ 1.983

Therefore, the value of the test statistic is approximately 1.983.

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Answer:

Original answer: 923.23

Can't have a fraction of a student, so I'd probably say 923

Step-by-step explanation:

Initial students: 847

Interest: 9%

You want 109%

Multiply: 847(1.09)

Answer:

Since they're both equated to y...

7x² + 6x – 13 = 3x – 3

Bringing all the left

7x² + 3x – 10 = 0

Solving for x

you have

x = 1 or x = –10/3

Now substitute to get y

y = 0 or –13

Answer:

y=3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

20/35 ; 40/70 ; 288/504.

Hi there, let me help you!

Hope it helps! :)
~Stargazing~

Answer:

45.48

Step-by-step explanation:

The money earned on Monday, Tuesday, and Friday from 4 to 10 p.m. is $181.92. Therefore, the correct answer is option A.

Given that, the job pays $7.58 an hour.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total number hours on Monday, Tuesday, and Friday from 4 to 10 p.m. is 24 hours.

Total money per week = Total number of hours × The pay per an hour

= 24×7.58

= $181.92

Therefore, the correct answer is option A.

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The number of main effects that need to be examined is equal to the number of independent variables. The correct option is B.

What is a variable?

Dependent and independent variables are variables in mathematical modeling, statistical modeling, and experimental sciences. Dependent variables are so named because their values are studied in an experiment under the assumption or demand that they are dependent on the values of other variables due to some law or rule.'

The phrase "independent variable" means exactly what it says. It is a variable that is unrelated to the other variables being measured. Age, for example, could be considered an independent variable. The main effect is the effect of a single independent variable on a dependent variable, and all other independent variables are ignored. Consider a study that investigated the efficacy of dieting and exercise for weight loss.

Therefore, the correct option is B.

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Answer:

C

Step-by-step explanation:

you just have to measure it

Answer:

See below.

Step-by-step explanation:

The factors of 49 are 1, 7, and 49.

1 x 49 = 49

7 x 7 = 49

-hope it helps

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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Answer:

Step-by-step explanation:

To calculate the gas mass produced, we can use Darcy's Law, which relates the flow of gas through a porous medium to the pressure gradient. The formula for Darcy's Law is:

Q = -k * A * (dP/dx)

Where:

Q is the flow rate (m^3/s)

k is the permeability of the medium (m^2)

A is the cross-sectional area (m^2)

dP/dx is the pressure gradient (Pa/m)

Given:

φ = 0.3

b = 100 m

αp​ = 4 × 10^(-9) Pa^(-1)

ρ = 0.1 hp​ (gas density)

Pressure head (initial) = 100 m

Pressure head (final) = 30 m

Area (A) = 10,000 m^2

First, we need to calculate the permeability (k) using the porosity (φ) and the compressibility (αp​) as follows:

k = φ² * αp​

k = 0.3² * (4 × 10^(-9) Pa^(-1))

k = 9 × 10^(-11) m^2

Next, we can calculate the pressure gradient (dP/dx) by subtracting the final pressure head from the initial pressure head and dividing it by the distance (b):

dP/dx = (Pressure head (final) - Pressure head (initial)) / b

dP/dx = (30 m - 100 m) / 100 m

dP/dx = -0.7 Pa/m

Now, we can calculate the flow rate (Q) using Darcy's Law:

Q = -k * A * (dP/dx)

Q = -9 × 10^(-11) m^2 * 10,000 m^2 * (-0.7 Pa/m)

Q = 6.3 × 10^(-4) m^3/s

Finally, we can calculate the gas mass (m) using the flow rate (Q) and the gas density (ρ):

m = Q * ρ

m = 6.3 × 10^(-4) m^3/s * 0.1 kg/m^3

m = 6.3 × 10^(-5) kg/s

Therefore, the gas mass produced when the pressure head is reduced from 100 m to 30 m over an area of 10,000 m^2 is approximately 6.3 × 10^(-5) kg/s.

To calculate the gas mass produced, Using Darcy's Law and the given values, we can determine the gas mass produced when the pressure head is reduced from 100 m to 30 m over an area of 10,000 m2.

The gas mass produced can be calculated by first determining the permeability (k) using the given values of porosity (φ), compressibility (αp), gas density (ρ), and thickness (b). With the obtained value of k, we can then use Darcy's Law to calculate the gas flow rate. However, since the time period is not specified, we cannot directly calculate the gas mass produced. The gas flow rate obtained from Darcy's Law represents the volume of gas flowing per unit time. To calculate the gas mass produced, we need to integrate the flow rate over time. Without the time component, we cannot determine the exact gas mass produced. Therefore, the calculation of the gas mass produced requires information about the time period or additional data.

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The type of sampling used to conduct a study on depression among the elderly is convenience sampling, which is a type of non-probability sampling technique where samples are selected because they are conveniently available and accessible, and the sample size for this study was calculated to be 30.

The type of sampling used to conduct a study on depression among the elderly is convenience sampling. Convenience sampling is a type of non-probability non-probability  where samples are selected because they are conveniently available and accessible .

In this study, a sample of 30 patients in one nursing home was used for the convenience sampling. The formula for calculating the sample size for convenience sampling is \(N = (N1*N2)/(N1+N2\)), where N is the sample size, N1 is the population size, and N2 is the desired sample size. In this case, N1 is the total number of elderly patients in the nursing home, and N2 is 30. Therefore, the sample size for this study is calculated as follows: \(N = (N1*30)/(N1+30) = 30\).

Convenience sampling is a quick and easy way of obtaining a sample, but it can be biased due to the presence of sampling errors and selection bias. Sampling errors occur when the sample is not representative of the overall population, while selection bias occurs when certain groups of people are more likely to be included in the sample than others. Therefore, it is important to consider the potential sources of bias when conducting a study using convenience sampling.

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The given information describes a setup known as a double-slit interference experiment, where a laser beam of wavelength 588 nm passes through two thin parallel slits that are 1.02×10^(-2) mm apart.

To analyze this setup, we can use the concept of the double-slit interference formula:

d * sin(θ) = m * λ

Where:

d is the distance between the slits (1.02×10^(-2) mm or 1.02×10^(-5) m)

θ is the angle of the bright fringes from the central maximum

m is the order of the fringe (0 for the central maximum, ±1 for the first-order, ±2 for the second-order, and so on)

λ is the wavelength of the laser beam (588 nm or 5.88×10^(-7) m)

θ = arcsin(m * λ / d)

Let's consider a few scenarios:

Central maximum (m = 0):

θ = arcsin(0 * 5.88×10^(-7) / 1.02×10^(-5))

θ = arcsin(0) = 0

The central maximum is a bright fringe at the center of the pattern, and the angle is 0 degrees.

First-order fringe (m = ±1):

θ = arcsin(±1 * 5.88×10^(-7) / 1.02×10^(-5))

θ ≈ ±0.0577 radians ≈ ±3.31 degrees

The first-order fringes are bright fringes located at approximately ±3.31 degrees from the central maximum.

Second-order fringe (m = ±2):

θ = arcsin(±2 * 5.88×10^(-7) / 1.02×10^(-5))

θ ≈ ±0.1154 radians ≈ ±6.62 degrees

The second-order fringes are bright fringes located at approximately ±6.62 degrees from the central maximum.

These calculations demonstrate the angles at which the bright fringes occur in the interference pattern produced by the double-slit setup with a laser beam of wavelength 588 nm passing through slits separated by 1.02×10^(-2) mm.

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The labor productivity at this job shop during the first week of March is approximately $54.69 per labor-hour.

To calculate the labor productivity, we need to determine the total value of output (revenue) generated by the job shop and divide it by the total number of labor-hours worked.

First, let's calculate the revenue generated by selling the flawed garments:

Revenue from flawed garments = Number of flawed garments * Price per garment

                         = 54 * $100

                         = $5,400

Next, let's calculate the revenue generated by selling the non-flawed garments:

Revenue from non-flawed garments = Number of non-flawed garments * Price per garment

                             = 78 * $200

                             = $15,600

Now, let's calculate the total revenue generated by adding the revenue from flawed and non-flawed garments:

Total revenue = Revenue from flawed garments + Revenue from non-flawed garments

             = $5,400 + $15,600

             = $21,000

Since each worker is paid $10 per hour and they worked 48 hours each, the total labor-hours worked is:

Total labor-hours = Number of workers * Hours worked per worker

                 = 8 * 48

                 = 384

Finally, we can calculate the labor productivity by dividing the total revenue by the total labor-hours:

Labor productivity = Total revenue / Total labor-hours

                 = $21,000 / 384

                 ≈ $54.69 (rounded to two decimal places)

Therefore, the labor productivity at this job shop during the first week of March is approximately $54.69 per labor-hour.

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Answer:

the y intercept are 0,0 the x intercepts are -8 '3

Step-by-step explanation:

remember solpe equal rise over run an m = x2 - x1

over

y2 - y1

Answer:

15

Step-by-step explanation:

sold 1/3 so 2/3 remain

(2/3)x + 15 = 25

Subtract 15 from both sides

(2/3)x = 10

Multiply both sides by 3/2

x = 15

When slave starting a disabled vehicle, the term that serves an important safety consideration is c. The slaving vehicle engine must be running while connecting the slave cable

The dead car is started while the live vehicle's engine is running by inserting a slave cable into the receptacle on each vehicle.

Vehicles with manual transmissions rely heavily on the clutch slave cylinder. When the pedal is depressed, the clutch is disengaged and the transmission is shifted thanks to the slave and clutch master cylinders.

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Answer:

A=28.27units2

Step-by-step explanation:

im not positive on this but you can try

Answer: function

Step-by-step explanation:

The given board measures include 30 pieces of 4x4x12' lumber, 144 pieces of 2x8x16' lumber, and 19 pieces of 2x6x6' lumber.

In the first measure, there are 30 pieces of lumber, each measuring 4 inches by 4 inches by 12 feet. This implies that each piece has a width and depth of 4 inches and a length of 12 feet.

In the second measure, there are 144 pieces of lumber, each measuring 2 inches by 8 inches by 16 feet. Each piece has a width of 2 inches, a depth of 8 inches, and a length of 16 feet.

Finally, the third measure consists of 19 pieces of lumber, each measuring 2 inches by 6 inches by 6 feet. This means that each piece has a width of 2 inches, a depth of 6 inches, and a length of 6 feet.

These board measures provide information about the quantities and dimensions of the lumber pieces, enabling accurate planning and estimation for construction or woodworking projects.

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Therefore, the probability that a student likes papa john's given they do not like chipotle is approximately 0.275 or 27.5%.

Bayes' theorem allows us to calculate conditional probabilities, which is the probability of an event occurring given that another event has already occurred. In this case, we want to find the probability that a student likes Papa John's pizza given that they do not like Chipotle.

We start by using the given probabilities to calculate the probability that a student does not like Chipotle, which is the complement of the probability that they do like Chipotle. Then, we calculate the probability that a student likes both Papa John's and Chipotle, and use this to find the probability that a student likes Papa John's given that they do not like Chipotle.

Bayes' theorem is a powerful tool that is used in a wide range of fields, including statistics, probability theory, and machine learning. It provides a systematic way to update probabilities based on new information or evidence, which is a crucial aspect of many real-world applications.

P(B) = 1 - 0.8 = 0.2 (the probability that a student does not like chipotle)

P(A|B) = P(A and B) / P(B) = (0.65 - 0.69*0.8) / 0.2 ≈ 0.275

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411,000 can be written as decimals by converting it to a scientific notation as 4.11 x 10⁵.

Scientific notations can be used to express long numbers in simpler forms.

With scientific notations, numbers that are too big or too short (long string) can be written in decimal formats.

Scientific notations are either positive or negative, depending on their decimal place values.

This implies that scientific notations use the power of 10 and the appropriate power of 10 is determined by the decimal place.

Thus, the number 411,000 can be expressed as a decimal using scientific notation, changing it to 4.11 x 10⁵.

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