which one is longer
120 yd
328 ft 11 in
108 yd 4 ft
378 ft

Answer:

156

1.56×10²

after you get your answer move the decimal however many spaces to where you only have one number before the decimal then you multiply it by 10 in your square root is however many times do you move the decimal

As a question-answering bot, I cannot provide the solution of this question as it requires the use of MATLAB software which cannot be done in this platform. However, I can provide a general overview and steps that can be followed to solve the problem.  List all maximal orthogonal subsets of the above set. That is, group the vectors v, w, x, y, and z in as many ways as possible so that all the vectors in your group are orthogonal to each other and none of the vectors outside the group are orthogonal to all the vectors in the group. The maximal orthogonal subsets of the above set are: {v, y}, {w, x}, {z}b. Take the largest orthogonal subset and normalize all the vectors in that set as follows: >> V-v/norm(v) This code replaces v with itself divided by its size-so we get a vector pointing in the same direction but with length 1. The above code normalizes v, so you'll have to normalize the other vectors in your orthogonal subset as well, replacing v with the appropriate letter. Store the resulting vectors in MATLAB as columns of a matrix W. Enter them in alphabetical order from left to right.The largest orthogonal subset is {w, x}. The normalized vectors are w/norm(w) and x/norm(x). Store the resulting vectors in MATLAB as columns of a matrix W and enter them in alphabetical order from left to right. The resulting matrix would be: W = [1/√19 6/√19; 3/√19 1/√19; 0 -3/√19]Note: This solution is based on the assumption that the vectors are given in column form.

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Answer:

Step-by-step explanation:

This is an isosceles right triangle as two legs are congruent.

The angle measure of both acute angles (B and C) is same:

Answer:

I think it is 1 4/159

Step-by-step explanation:

When a:3=12:a, then the positive of a will be 6.

Given, the  following quadratic equation

a : 3 = 12 : a

That is,

a/3 = 12/a

By cross- multiplication of the values, we will get

a * a = 12 *3

a ^ 2 = 36

From the above equation, we calculate the square root for the value a.

Therefore, we get the square root of,

a ^ 2 = 36

a = 6 ( as the square root of 36 is 6)

So, we can say that when a : 3 = 12: a the positive of a will be 6

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okay

please put the options

Answer:

-0.5

Step-by-step explanation:

3.5 kg is approximately equal to 7.7162 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

3.5 kg =  3.5 × 2.20462

Multiply the numbers

= 7.7162 pounds  ( rounded to four decimal places )

Therefore, 3.5 kg is 7.7162 pounds

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In stage 2, the magnitude of charge transferred between sphere A and sphere B was [magnitude of charge] in [units].

To determine the magnitude of charge transferred between sphere A and sphere B in stage 2, we need more information about the specific scenario or experiment. In general, the magnitude of charge transferred can be calculated using the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the potential difference. The unit for charge is the coulomb (C).

The specific values for capacitance and potential difference would need to be provided in order to calculate the magnitude of charge transferred. Capacitance is measured in farads (F), and potential difference is measured in volts (V). Once these values are known, the calculation can be performed to determine the magnitude of charge transferred.

Without further information, it is not possible to provide a specific answer in terms of magnitude and units. Please provide additional details regarding the capacitance and potential difference in order to obtain a precise calculation of the charge transferred.

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Answer:

x=5

y=5

Step-by-step explanation:

6(5)=30-3(5)=15

2(5)=10+2(5)=20

so the points where they meet is 5,5

The probability that Joey picks a red candy is 1/6.

To calculate the probability of Joey picking a red candy, we need to determine the total number of red candies and the total number of candies in the bag.

Given that there are an equal number of red, green, orange, yellow, purple, and blue candies, and a total of 42 candies, we can determine the number of red candies.

Since there are 6 colors in total and an equal number of each, the number of red candies is:

Number of red candies = Total number of candies / Number of colors

Number of red candies = 42 / 6 = 7

Now, we can calculate the probability of Joey picking a red candy:

Probability = Number of favorable outcomes / Total number of outcomes

Probability = Number of red candies / Total number of candies

Probability = 7 / 42

Probability = 1/6

Therefore, the probability that Joey picks a red candy is 1/6.

Your question is incomplete but this is the general answer

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To disprove the null hypothesis a researcher must develop a number that demonstrates the existence of a difference between two variables. this is called the alternative hypothesis.

Null hypothesis and Alternative hypothesis are two basic types of hypothesis that express the criteria of a research problem as a relationship between two or more variables.

Null hypothesis refers to the hypothesis which clarifies that there is no relationship between two variables.

An alternative hypothesis is the inverse of the null hypothesis which tells that there is a relationship between two variables.

Hence, demonstrating that there exist a difference between two variables is an alternative hypothesis.

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To calculate the probability that a customer does not use a credit card, we need to subtract the percentage of customers who use a credit card from 100%.

Given that 51% of customers use a credit card, the remaining percentage that does not use a credit card is: Percentage of customers who do not use a credit card = 100% - 51% = 49%

Therefore, the probability that a customer does not use a credit card is 49% or 0.49.

To calculate the probability that a customer pays in cash or with a credit card, we can simply add the percentages of customers who pay with cash and those who use a credit card. Given that 16% pay with cash and 51% use a credit card, the probability is:

Probability of paying in cash or with a credit card = 16% + 51% = 67%

Therefore, the probability that a customer pays in cash or with a credit card is 67% or 0.67.

These probabilities represent the likelihood of different payment methods used by customers in the shop based on the given percentages.

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Answer:

see explanation

Step-by-step explanation:

One method of solution is given below

x² + 5 = 86 ( subtract 5 from both sides )

x² = 81 ( take the square root of both sides )

x = ± \(\sqrt{81}\) = ± 9

To solve the equation x^2 + 5 = 86, we need to isolate the variable x on one side of the equation. We can do this by performing the opposite operations on each side of the equation.

   Subtract 5 from both sides of the equation:

   x^2 = 81

   Take the square root of both sides of the equation:

   x = ±9

Therefore, the solutions to the equation x^2 + 5 = 86 are x = 9 and x = -9.

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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Answer:

841 kmh-1

Step-by-step explanation:

speed = distance / time

time = 810 x 24 = 19440

16,340,000 km / 19440 = 840.535

Answer: D. 96.

Step-by-step explanation:

Answer:

The answer is D.

Answer:

Step-by-step explanation:

9x + 8 = 7.5x + 17

1.5x = 9

x = 6 hours

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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The average value of a function's derivative over an interval can be found by taking the difference of the function's values at the endpoints of the interval and dividing by the length of the interval.

To find the average value of a function's derivative over an interval using the values of prior derivations.
Identify the interval:

Determine the interval [a, b] over which you want to find the average value of the derivative.
Find the function's derivative:

Calculate the first derivative of the function, denoted as f'(x).
Determine prior derivative values:

Based on the problem statement or given data, find the values of f'(x) at specific points within the interval [a, b].
Calculate the average of prior derivative values:

Add the values of f'(x) at these specific points, and divide the sum by the number of points.
Interpret the result:

The average value you obtained represents the average rate of change of the function over the specified interval [a, b].
Remember to use the given terms and data in your specific problem to find the average value of the function's derivative over the desired interval.

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D is the right response, meaning that if attendance increases by 1%, the anticipated mean score will rise by 0.341 percentage points.

What is Statistics?

The study of gathering, analysing, interpreting, presenting, and arranging data in a certain way is the focus of the mathematic branch known as statistics. The act of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics. Statistics is also the process of drawing inferences from samples of data gathered through experiments or surveys. Statistics are also used to operate in a variety of fields, including psychology, sociology, geology, probability, and more.

Results of an EXA are a dependent variable.

Percentage Attendance is a standalone factor.

As a result, the regession equation is Scores received = 39.390 + 0.341*X.

In other words, if we increase attendance by 1%, the estimated mean score received will increase by 0.341 percentage, according to the slope of the regression line.

Therefore, D is the right response, meaning that if attendance increases by 1%, the anticipated mean score will rise by 0.341 percentage points.

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Answer:

First, we know that he spent rs500 plus rs60 in the whole process, then the total cost is:

C = rs500 + rs60 = rs560

Now he sells the oranges in packs of 12, then if he has 120 oranges, the total number of packs that he can sell is:

120/12 = 10

So he has 10 packs of 12 oranges.

And he sells each one for rs58.8

Then if he sells the 10 packs, the total revenue is:

R = 10*(rs58.8) = rs588

The profit is the difference between the revenue and the cost, here the profit is:

P = R - C = rs588 - rs560 = rs28

And the profit percentage is calculated as follows:

(P/C)*100%

Where P = profit and C = cost, then we have:

(rs28/rs560)*100% = 5%

Answer:

23

Step-by-step explanation:

Since Jungkook's birthday is on September 1, 1997, that makes him 22 for now. When September 1st, 2020 occurs, he will be 23.

Answer:

Step-by-step explanation:

4in

Answer:

If your asking which answer the thing is, its 2.

Step-by-step explanation:

Can't explain, I hope you understand . . .

Answer:\(- \frac{5}{12}\)

Step-by-step explanation:

https://www.symbolab.com/

Answer:

Okay so you are going to get -5/12

Step-by-step explanation:

what you are going to do first is look at your signs the plus and minus signs are there to try and mix you up. What you are doing is subtracting all three of these fractions... Okay?

3/4 - 1/2 - 2/3

What you need to do is turn 1/2 into 1/4 because when adding or subtracting fractions you need to have the same denominator.

Subtract:

3/4 - 2/4 = 1/4

Now you are going to have to multiply the tops and the bottom of 2/3 by four (you should get 8/12) and multiply 1/4 (top and bottom) by three (you should get 3/12). This allows you to subtract 2/3 and 1/4 to get a product of 5/12. You can not simplify this fraction any further so you have your answer!

-5/12

*EDIT

Don't forget the minus sign.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

\(P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 = \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t} = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t} = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t} = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\\)

The population will reach 1200 after about 2.8 years