Given m = (3,-6) and n = (-10,4), evaluate 5m + 11n. a (-95, 10) b (-7, -2) c (-17,-46) d (-95, 14)

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

The weight of the 8th girl in the class is 43 kg

The given parameters are:

Mean weight = 35 kg

Weight of 7 girls = 35kg, 28kg, 43kg, 25kg, 33kg, 51kg, and 22kg

Let the weight of the 8th girl be x.

Mean is calculated using:

Mean = Sum/Count

So, we have:

(35+ 28+43+25+33+51+22 + x)/8 = 35

Evaluate the sum

(237 + x)/8 = 35

Multiply both sides by 8

237 + x = 280

Subtract 237 from both sides

x = 43

Hence, the weight of the 8th girl is 43 kg

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She needs to dock her yacht 5.13 miles from the settlement.

As per the details given in the above question is as follow,

Where r is the distance she rowed

w is the distance she walked

t is the total time taken to reach village

Consider the time,

\(t = \frac{r}{2} + \frac{w}{5}\)

Further,

\(r^2 = 2^2 + (6 - w)^2\\r = (4 + 36 - 12w + w^2)^{\frac{1}{2}}\\r = (w^2 - 12w + 40)^{\frac{1}{2}}\)

Thus substitute the value of r in above t equation we get,

\(t = (w^2 - 12w + 40)^(1/2)/2 + w/5t' \\= (\frac{1}{2})(\frac{1}{2})(w^2 - 12w + 40)^(-\frac{1}{2})(2w - 12) + \frac{1}{5} = 0\)

Shift \(\frac{1}{5}\) on right side of the equation,

\((\frac{1}{2})(\frac{1}{2})(w^2 - 12w + 40)^(-\frac{1}{2})(2w - 12) = -\frac{1}{5}\\(\frac{1}{2})(w - 6) = -\frac{1}{5}(w^2 - 12w + 40)^(\frac{1}{2})\\5(w - 6) = -2(w^2 - 12w + 40)^(\frac{1}{2})\\25(w^2 - 12w + 36) = 4(w^2 - 12w + 40)\\(25 - 4)w^2 + (-25\times 12 + 4 \times 12)w + 25 \times 36 - 4 \times 40 = 0\\21w^2 - 252w + 740 = 0\)

w = 6.87, 5.13 mi

discard 6.87 ( > 6)

\(r = (w^2 - 12w + 40)^(\frac{1}{2})\)

r = 2.18 mi

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Answer:

4 is the answer.

Step-by-step explanation:

Factors of 44= 1, 2, 4, 11, 44

Factors of 12= 1, 2, 3 4, 6, 12

Factors of 28= 1, 2, 4, 7, 14, 28

Common factors= 1, 2, 4

Greatest common factor = 4

Answer:

4

Step-by-step explanation:

GCF of 44, 12 and 28 is 4.

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

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Answer: mean= 24.2 and the standard deviation is 6.0 :)

Step-by-step explanation: this is because when you solve for the equation the result for the standard deviation is 6.3 but if you round the number, it becomes 6.0, being the standard deviation.

Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.

The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.

The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.

The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.

This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.

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The following question may be like this:

The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?

The composite function f(x). g(x) is represented as 3x² - 17x + 10

The composite function can be solved as follows:

f(x) = 3x - 2

g(x) = x - 5

Therefore, the composite function f(x). g(x) is as follows:

f(x). g(x) =  f(x) × g(x)

Hence,

f(x) × g(x)  = (3x - 2)(x - 5)

f(x) × g(x) = 3x²  - 15x - 2x + 10

f(x) × g(x) = 3x² - 17x + 10

Therefore, the function  f(x) × g(x) = 3x² - 17x + 10

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Answer:

4 cups of milk

Step-by-step explanation:

since 66 =  6(11), all you need to do is multiply 2/3 by 6

6(2/3) = 4 cups of milk

Using divisiblity rule ,

total six uphill integers are divisible by 15 .

First, we know the number must end in either 5 or 0 in order to satisfying being divisible by 15. but the number can't end in 0 because it's not strictly greater than the previous digits. Thus, our number must end in 5. Now, we consider cases for the number of digits.

Case 1: one digit, no numbers work, thus we get 0 number.

Case 2: Two digits, we have the numbers 15,45and 75, but 75 isn't an uphill number, thus we get 2 numbers.

Case 3: Three digits, we have the numbers 135, 345, thus we get 2 numbers.

Case 4: Four digits, we have the numbers 1235, 1245 and 2345, but only 1245 satisfies this condition, thus we get 1 number.

case 5: five digits, we have only 12345, thus we get 1 number.

adding all possible numbers we get , 0+2+2+1+1 = 6

Hence, 6 uphill integers are divisible by 15 .

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The speed of light in miles per hour is approximately 670,616,629.384 miles/hour. To calculate the speed of light in miles per hour, we'll first convert meters per second to miles per hour using the conversion factors.

The speed of light in miles per hour can be calculated by converting meters per second to miles per hour. One meter is approximately equal to 3.281 feet and one mile is equal to 5,280 feet. Therefore, to convert meters per second to miles per hour, we can use the following formula:

miles/hour = meters/second x 2.23694

Plugging in the speed of light in meters per second, we get:

miles/hour = 2.998 x 10^8 m/s x 2.23694

Simplifying this expression, we get:

miles/hour = 670,616,629.384 miles/hour

Therefore, the speed of light in miles per hour is approximately 670,616,629.384 miles/hour.

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The probabilities for the given event is Pr(exactly 2) = 0.0283. Pr(exactly 1) = 0.2901, and Pr(exactly 3) = 0.001331.

The possibility of an event occurring can be expressed in terms of probability and odds, but they are not the same thing. The ratio of positive events to all conceivable outcomes, represented as a fraction or decimal, is known as probability. On the other hand, odds represent the proportion of good outcomes to those that are unfavourable. Odds can be stated as a ratio, fraction, or by dividing the favourable outcomes by the total number of outcomes to get their equivalent in probability.

The binomial probability is given as:

\(P(x) = (nCx) * p^x * (1-p)^{(n-x)}\)

Here, n = 3, p = 0.11, and q = 1 - p = 0.89.

Thus,

\(Pr(exactly 2) = P(2) = (3C2) * 0.11^2 * 0.89^{(3-2)} = 0.0283\\Pr(exactly 1) = P(1) = (3C1) * 0.11^1 * 0.89^{(3-1)} = 0.2901\\Pr(exactly 3) = P(3) = (3C3) * 0.11^3 * 0.89^{(3-3)} = 0.001331\)

Hence, the probabilities for the given event is Pr(exactly 2) = 0.0283. Pr(exactly 1) = 0.2901, and Pr(exactly 3) = 0.001331.

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Answer: 90 degrees counterclockwise and 270 degrees clockwise are the same things and you need to use the same formula for both

Step-by-step explanation:We swap the value of x and y and negate the value of y. So the value of x becomes the value of y and value of y becomes the value of x. so the formula is:

(x, y) –> (-y, x)

Before Rotation  After Rotation

(x, y)                    (-y, x)

hope this helps

The results after the following code is executed int[] array1 = new int[25];

A data structure called an array consists of a set of elements (values or variables), each of which is identifiable by an array index or key. Depending on the language, additional data types that describe aggregates of values, like lists and strings, may overlap (or be identified with) array types.

Let's trace the code,

For experiment, take array, array 1 = { 5,7,3,8 }

                  a = 1 ( 1<4)

                  array [1] < value

                    7<5

                   increment "a"

                             a = 2( 2<4)                

                            array [2] <value

                            3<5

                           increment "a"

                           a = 3 ( 3<4)

                           array [3] <value

                            8<3

                           increment "a"

Now, 'a = 4' for loop terminates.

Now, In the value variable, we have the minimum element of the array.

Hence, Value contains the lowest value in array 1.

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Answer:

30 sheep

Step-by-step explanation:

Given that the first section has 90 sheep sorted into 3 rows, assuming that each row has equal number of sheep, then the number of sheep per row will be the total number of sheep available divided by the number of rows

= 90/3

= 30

It means there are 30 sheep per row

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

Step-by-step explanation:

I'm assuming by 'image point' you mean the translated or final point.

if it has been translated 5 units to the right, the new x-coordinate will be 4 + 5 = 9

Same for the y-coordinate. Since it has been translated down, we will subtract instead of add. therefore, it is -6 - 3 = -9

new point = (9,-9)

Hope this helps

Answer: 13 7/10 miles till your uncles house

49/6

Step-by-step explanation:

Answer:

1800

Step-by-step explanation:

To prove that the given categorical syllogism invalid using the counterexample method, we first need to check whether the syllogism follows the standard form of categorical syllogisms. The standard form of categorical syllogism is:

Premise 1: All A are B. (Major Premise)

Premise 2: All C are A. (Minor Premise)

Conclusion: All C are B.

Let's represent the given syllogism in the standard form:

Premise 1: No undocumented individuals are people who are paid decent wages. (Major Premise)

Premise 2: Some undocumented individuals are not farm workers. (Minor Premise)

Conclusion: Some farm workers are not people who are paid decent wages.

Now, we will use the counterexample method to disprove the given syllogism. We will use real-world examples that will make the premises true but will make the conclusion false. Suppose Premise 1 is "No birds can swim." and Premise 2 is "Some penguins are not birds". Then, the Conclusion will be "Some penguins cannot swim." which is true. Here, we see that the premises are true, and the conclusion is also true.

Let's take another example. Suppose Premise 1 is "No reptiles can fly." and Premise 2 is "Some birds are reptiles." Then, the Conclusion will be "Some birds cannot fly." which is false. Here, we see that the premises are true, but the conclusion is false.

Hence, the syllogism is invalid. Using the same method, we can disprove the given syllogism. Some farm workers are not people who are paid decent wages, because no undocumented individuals are people who are paid decent wages, and some undocumented individuals are not farm workers.

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A new company wants to offer a line queuing service where customers book someone to wait in line on their behalf through a smart phone app.

The possibility that no one wants to pay someone else to wait in line can be represented by the concept of probability.

The probability of an event occurring is defined by probability.

The outcome of an event may be known to us or unknown to us. When this happens we say that there is a chance that the event will happen or not.

We can identify probability by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

Hence, probability is a numerical representation of the chance that a specific event will take place.

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Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

well first off the size we can fit compuers in our pockets nowadays

and hardware is insainly diffrent

Step-by-step explanation:

In a song the twelve days of christmas, my true love gave to me, then total number of possible gifts that my true love give me all together during the twelve days is equal to the 364.

We have There are twelve days of Christmas in a song and my true love gives me presents every day. We have to calculate total number of gifts my true love give me all together during the twelve days. Now, according to the song, on the first day of Christmas my true love gave me: a partridge on a pear tree 1 gift. On the second day of Christmas, my love really gave me: two doves and a gift. cake etc. Mathematically, gifts by true love are written as 1+2+3+... n gifts per day. Number of gifts per day: 1 to 1, 2 to 3, 3 to 6 and 4 to 10. The amount of mis N (N + 1) (N + 2) / 6. Number of parts This form is called tetrahedral number. Change the value N = 12, then N (N + 1) (N + 2) / 6

= 12 × 13 × 14 / 6

= 364

Hence, 364, the total number of gifts, almost one for each day of the year.

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The most important details are that the vector y belongs to the subspace of R4 spanned by the columns of A if it can be written as a linear combination of the columns of A. This is equivalent to solving a system of linear equations using Gaussian elimination or matrix inversion. If a solution exists, then y is in the subspace of R4 spanned by the columns of A.

We are given a matrix A whose columns span R4. We are required to find out if the vector y belongs to the subspace of R4 spanned by the columns of A. Let's begin:We know that a vector y belongs to the subspace of R4 spanned by the columns of A if it can be written as a linear combination of the columns of A. That is,y = a1c1 + a2c2 + a3c3 + a4c4where c1, c2, c3 and c4 are the columns of A. Let's plug in the values given in the question:y = (10 -8 7 4) a1 + (16 7 -5 -7) a2 + (4 -7 4 -5) a3 + (-5 0 6 -2) a4We need to check if there exists a1, a2, a3 and a4 such that the above equation is true. This is equivalent to solving a system of linear equations as follows:10a1 + 16a2 + 4a3 - 5a4 = y1-8a1 + 7a2 - 7a3 + 0a4 = y216a1 - 5a2 + 4a3 + 6a4 = y34a1 - 7a2 - 5a3 - 2a4 = y4where y1, y2, y3 and y4 are the components of vector y. We can solve this system of equations using Gaussian elimination or matrix inversion. If a solution exists, then y is in the subspace of R4 spanned by the columns of A. Otherwise, y is not in the subspace of R4 spanned by the columns of A.

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Answer:

Q.1 Answer is 9

Q.2 Answer is 0.04

Q.3 Answer is 11/12

Q.4 Answer is 3/2

Q.5 Answer is 1/12

Q.6 Answer is 3/5

Q.7 Answer is 1

Q.8 Answer is -15

Q.9 Answer is 10

Q.10 Answer is 108

9514 1404 393

Answer:

  D: {-4, 1, 5, 9}

  R: {-8, 0, 1, 5}

Step-by-step explanation:

The domain is the list of first numbers of the ordered pairs: {-4, 1, 5, 9}.

The range is the list of second numbers of the ordered pairs: {-8, 0, 1, 5}.