Which component of the field vector E→=3.0xi^+4.0j^ pierces the top face?

Answer:

Step-by-step explanation:

I thing number 5 the answer is 125 degrees

Answer:

yes

Step-by-step explanation:

cause as i see u if it is acute angle it must be <90

and for obtuse angle the angle is 90<x<180 ( between 90 and 180)

Each jar contains 8 ounces of tomato sauce. The total amount of tomato sauce used by Chef for the pasta dish is 32 ounces.

The total amount of tomato sauce used by Chef for the pasta dish is 32 ounces. Chef then divides the remaining 48 ounces of tomato sauce into six jars, resulting in 8 ounces of sauce in each jar.

To calculate the amount of tomato sauce used by Chef for the pasta dish, we first need to find 2/5 of 80 ounces, which is (2/5) x 80 = 32 ounces. Therefore, Chef uses 32 ounces of tomato sauce for the pasta dish.

After using 32 ounces of tomato sauce for the pasta dish, Chef is left with 80 - 32 = 48 ounces of tomato sauce. To divide this into six jars, we simply divide 48 by 6, which gives us 8 ounces of tomato sauce in each jar.

Therefore, each jar contains 8 ounces of tomato sauce.

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Answer:

Step-by-step explanation:

338.33 ft

The functions in this problem are classified as follows:

A linear function has the graph in the format of a line, hence function A is classified as a linear function.

A quadratic function has the graph in the format of a parabola, hence function B is classified as a quadratic function.

An exponential function has the graph that either increases or decreases very fast, hence function C is classified as an exponential function.

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The mean of the given data set is 98.70

To find the mean of the given data set, we need to sum up all the values and then divide the sum by the total number of values.

Sum of the values = 23.4 + 35.6 + 73.1 + 58.0 + 18 + 723.4 + 35.6 + 73.1 + 58.0 + 18.7 + 33.8 + 33.8 = 1184.5

Total number of values = 12

Mean = Sum of values / Total number of values = 1184.5 / 12 =98.708

To round the answer to the nearest hundredth, we look at the digit in the third decimal place, which is 3. Since this digit is less than 5, we round down the second decimal place, giving us the final answer of:

Rounding to the nearest hundredth, we get the mean as 98.708

Therefore, the mean of the given data set is 98.70

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x is rational, because it can be expressed as the ratio of two integers (d-b) and (a-c).

Let's multiply both sides of the given equation by cx+d to eliminate the denominator:

ax + b = cx + d

ax - cx = d - b

x(a-c) = d - b

x = (d - b)/(a - c)

Since a, b, c, and d are integers and a ≠ c, (a-c) is also an integer. Therefore, x is rational, because it can be expressed as the ratio of two integers (d-b) and (a-c).

Note that this is a special case of the more general result that if p(x) and q(x) are polynomials with integer coefficients and q(x) ≠ 0 for some real number x, and if p(x)/q(x) is an integer, then p(x) is divisible by q(x).

In this case, q(x) = cx + d, which is nonzero because a ≠ c, and p(x) = ax + b - (cx + d) = (a-c)x + (b-d). Since p(x) is an integer and q(x) is an integer except possibly at x = -d/c, it follows that p(x) must be divisible by q(x), and hence x = (d-b)/(a-c) is rational.

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The ellipse in a scatterplot becomes thinner, the correlation coefficient (r) between the variables x and y will increase.

The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to 1, where values close to -1 or 1 indicate a strong linear relationship, and values close to 0 indicate a weak or no linear relationship.

When the scatterplot forms an ellipse, it indicates that there is some degree of correlation between the variables x and y.

If the ellipse is elongated, it suggests that the correlation is weak, while if the ellipse is more circular, it suggests that the correlation is stronger.

As the ellipse becomes thinner, it means that the spread of the data along one of the variables is becoming smaller, while the spread along the other variable is remaining the same.

This indicates that there is a stronger linear relationship between the variables, and as a result, the correlation coefficient (r) will increase.

Therefore, we can conclude that as the ellipse becomes thinner, the correlation coefficient (r) between the variables x and y will increase.

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The zeros of function f(x) are 8 and 6.

We have,

To find the zeros of the polynomial function f(x),

We need to solve for x in the equation f(x) = 0.

So,

f(x) = x² - 16x + 48

Setting f(x) = 0, we have:

x² - 16x + 48 = 0

We can factor this quadratic equation as:

(x - 8)(x - 6) = 0

Using the zero product property, we have:

x - 8 = 0 or x - 6 = 0

Solving for x.

x = 8 or x = 6

Therefore,

The zeros of function f(x) are 8 and 6.

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To find the P(Z>0.93) using Appendix C-2, we first need to find the row containing 0.9 in the far left column. Next, we find the column containing 0.03 in the top row. The intersection of the row and column is 1.546. Therefore, the probability of Z being greater than 0.93 is 1 - 0.8289 = 0.1711 (rounded to four decimal places).

The values in Appendix C-2 represent the area to the left of a standard normal distribution. Since the total area under the curve is equal to 1, we can find the area to the right of a certain value by subtracting the area to the left from 1.

In this case, we want to find the area to the right of 0.93, which is equivalent to finding the area to the left of -0.93 (since the standard normal distribution is symmetric). By finding the corresponding value in Appendix C-2 and subtracting from 1, we get the probability of Z being greater than 0.93.

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Answer:

30 lbs

Step-by-step explanation:

40/4=10

10 lbs per leg

10x3=30

Answer:

30

Step-by-step explanation:

Amount stolen in England (in US dollars) = 4 million * $1.26 = $5,040,000

We need to add the total stolen in Claire's cases to find the thief's total haul. However, the information about Claire's cases and the total stolen in those cases is not provided. Therefore, we cannot determine the thief's total haul.

To calculate the total amount of goods stolen in France and England in US dollars, we need to convert the amounts in Euro (€) and Pounds Sterling (£) to US dollars using the given exchange rates.

Given:

France: 2.5 million Euro (€), 1 € = $1.13

England: 4 million Pounds Sterling (£), 1 £ = $1.26

To find the total amount stolen in US dollars, we'll perform the following calculations:

Amount stolen in France (in US dollars) = 2.5 million € * $1.13/€

Amount stolen in England (in US dollars) = 4 million £ * $1.26/£

Let's calculate each value:

Amount stolen in France (in US dollars) = 2.5 million * $1.13 = $2,825,000

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The value of quadratic equation is,

⇒ y = x² + 10x + 22

Let the value of quadratic equation is,

⇒ y = ax² + bx + c

Now, Let the points from tables as;

⇒ (- 6, 2) (- 5, - 1) (- 4, - 2)

Substitute all the values in equation as;

⇒ y = ax² + bx + c

⇒ 2 = a(- 6)² + b(-6) + c

⇒ 2 = 36a - 6b + c

⇒ - 1 = a (- 5)² + b (- 5) + c

⇒ - 1 = 25a - 5b + c

⇒ - 2 = a (- 4)² + b (- 4) + c

⇒ - 2 = 16a - 4b + c

Solve expression for the values of a, b and c as;

a = 1

b = 10

c = 22

Thus, the value of quadratic equation is,

⇒ y = x² + 10x + 22

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The Bass diffusion model is a forecasting model that uses nonlinear optimization to predict the adoption of innovative and new technologies in the marketplace.

It was developed by Frank Bass in 1969 and has since become a widely used method for predicting the spread of new products in the market.

The Bass model assumes that the adoption of a new technology is driven by two factors: the innovative individuals who are the first to adopt, and the imitative individuals who adopt based on the influence of others. The model uses a combination of these two factors to predict the rate of adoption over time.

The Bass model takes into account the potential market size, the rate of innovation, and the rate of imitation. It is based on the assumption that the number of potential adopters is finite and that the rate of adoption will slow down as the market becomes saturated. The model also assumes that the rate of innovation will decrease over time as the technology becomes more established in the market.

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The game awards 2.5 points for 10 minutes of play.

Part A:

Let's use the given information to find the constant of proportionality. For every 2 minutes of play, the game awards one-half point. Therefore,

1 min of play  = 0.5/2 = 0.25 points

6 min of play = 0.25 x 6 = 1.5 points

The constant of proportionality is 0.25

Part B:

We can use the formula for a proportional relationship,

y = kx

where

y = number of points awarded,

x = amount of time played (in minutes), and

k = constant of proportionality.

Substituting k = 0.25, we get:

y = 0.25x

Part C:

To graph this relationship, let x be the independent variable (amount of time played) and y be the dependent variable (number of points awarded). Then, we can choose several values for x, compute the corresponding values of y using the equation above, and plot the ordered pairs (x, y).

Part D: To find the number of points awarded for 10 minutes of play, we can simply substitute x = 10 into the equation we found in Part B:

y = 0.25x = 0.25(10) = 2.5

Therefore, 2.5 points are awarded for 10 minutes of play.

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The probability that the risk event will occur during the fourth month of the project is 0.2.

If a risk has a 20% chance of happening in any given month, then the probability of it not happening in any given month is 1 - 0.2 = 0.8.

Assuming the risk event is independent from month to month, the probability that the risk does not happen in the first three months is:

P(not happening in 1st month) × P(not happening in 2nd month) × P(not happening in 3rd month) = 0.8 × 0.8 × 0.8 = 0.512

The probability that the risk occurs in the fourth month, given that it has not occurred in the first three months, is:

P(happening in 4th month | not happening in 1st, 2nd, and 3rd months) = P(happening in 4th month) = 0.2

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The transitivity of divisibility theorem says that for all integers a, b, and c, if a divides b and b divides c, then a divides c. In other words, if a is a factor of b and b is a factor of c, then a is also a factor of c.

This theorem can be written as follows: If a | b and b | c, then a | c. For example, if a = 2, b = 6, and c = 12, we know that 2 | 6 and 6 | 12, so by the transitivity of divisibility theorem, we can conclude that 2 | 12.

The transitivity of divisibility is an important property of integers and is often used in number theory and other mathematical areas. It allows us to make inferences about the factors of numbers and the properties of divisibility, and is a useful tool in proofs involving divisibility and prime numbers.

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Answer: 3/16 - 3/9 = -7/48

Step-by-step:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(3/16, 3/9) = 144

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(3/16×9/9)−(3/9×16/16)=?

Complete the multiplication and the equation becomes

27/144−48/144=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

27−48=−21

144=144

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 144 using

GCF(21,144) = 3

−21÷3=-7

144÷3=48

Therefore:

3/16−3/9=−7/48

65% of female humpback whales are shorter than 14.1565 meters.

Given that, a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters.

We know that, Z=(x-μ)/σ

Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample

The z-score for the 65th percentile is 0.8416

Here, where x = the 65th percentile, μ = the mean value, and σ = the standard deviation.

So, we can rearrange the formula as follows:

x = z × σ + μ

Substituting the values:

x = 0.8413 × 0.5 + 13.7

x = 14.1565 meters

Therefore, 65% of female humpback whales are shorter than 14.1565 meters.

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The correct statement is:

B. If -2/5r = -20, then r = 50

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

To solve the equation, we can isolate the variable by multiplying both sides of the equation by the reciprocal of -2/5, which is -5/2:

(-2/5r) * (-5/2) = (-20) * (-5/2)

r = 50

Therefore, if -2/5r = -20, then r = 50.

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For strain 1 the average rate of change is 20, while for strain 2 it is 16.7, then Strain 1 has the larger one.

For a function y = f(x), we define the average rate of change on an interval [a, b] as:

R = (f(b) - f(a))/(b - a)

For the table, the average rate of change will be:

R = (85 - 25)/(4 - 1)

R = 60/3 = 20

For the graph, it will be:

R' = (70 - 20)/(4 - 1) = 50/3 = 16.7

Then we can see that the table (Strain 1) has a greater rate of change.

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The correct option is: c. treatment

The IV (Independent Variable) in an experiment refers to the variable that is systematically manipulated or varied by the researcher to observe its effect on the dependent variable.

In the given experiment, the IVs are "Gender" and "GSR" (Galvanic Skin Response), indicating that these variables are systematically manipulated or varied to observe their effect on the dependent variable.

Therefore, "Gender" and "GSR" are not dummy, extraneous, or classification variables.

They can be considered as treatment variables as they are manipulated to observe their effect on the dependent variable.

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The value of v in the given inequality 9v - 8 ≥ 8v + 2 is v≥10.

The given inequality is 9v - 8 ≥ 8v + 2

Now, we have to solve the value for v in the above inequality.

9v - 8 ≥ 8v + 2

Now, we subtract 8v on both sides.

9v - 8 - 8v ≥ 8v + 2 - 8v.

v - 8 ≥ 2.

Now, we add 8 on both sides

v - 8 + 8 ≥ 2 + 8

v ≥ 10.

Therefore, the value for v is v ≥ 10, which means all the values greater than 10 satisfy the given inequality.

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The number of marginal means would be 24.

In a design that has 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C, the total number of marginal means is 24.

Marginal means are the means for each factor level averaged across the other factors in the design. To calculate the number of marginal means, you simply multiply the number of levels for each factor together.

For example, in this design, there are 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C, so there are 3 x 4 x 2 = 24 marginal means.

Each marginal mean represents the mean score for a particular combination of factor levels, averaged across the other factors in the design.

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The horse's average speed for the race in units of kilometers per hour will be 178.06.

The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.

The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

The conversion is given as,

1 furlong = 0.201168 km

5.50-furlong = 0.201168 x 5.5 km

5.50-furlong = 1.10642 km

1 second = 1/3600 hour

22.37 seconds = 22.37/3600 hour

22.37 seconds = 0.0062 hour

The average speed is calculated as,

Average speed = 1.10642 / 0.0062

Average speed = 178.06 km per hour

The horse's average speed for the race in units of kilometers per hour will be 178.06.

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Answer:

Step-by-step explanation: 3

Answer:

35%

Step-by-step explanation:

1. Add all the participants that attended

20 - 0-19yrs

40 - 20-39yrs

60 - 40-59yrs

50 - 60-79yrs

170 total

2. Divide the age group 40 - 59 by the total amount of participants to get the answer.

60/170 = about .35 = 35%

The length of one drama is 47.4 minutes.

Given that a drama club is showing two videos from 4:00pm to 6:05pm having a 1/2 hours of break in between two of them,

We need to find the length of the dramas,

So,

Total time = 4:00 to 6:05 = 2 hours and 5 minutes.

Subtracting the break length = 2.083 hours - 0.5 hours = 1.58 hours.

Now the length of one drama = 1.58/2 = 0.79 hours.

= 47.4 minutes

Hence the length of one drama is 47.4 minutes.

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The total distance the mouse scurries is 10 meters

To determine the value, we need to note that the Pythagorean theorem states that the square of the longest side of a triangle called the hypotenuse is equal to the sum of the squares of the other two sides.

This is represented as;

x² = y² + z²

Such that the parameters are;

From the information given, we have that;

x² = 2.2² + 3.6²

find the squares

x² = 4. 84 + 12. 96

add the values

x² = 17. 8

x= 4. 22 meters

The total distance = 2.2 + 3.6 + 4.2

Add the values

= 10 meters

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