What is the difference between a copyright and a trademark, and how are they used to protect intellectual property?

Answer:

u do ba ab bc across the country to country and to be in

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Answer:

Option A is the right answer mate...

Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

Answer:

A= equilateral triangle

B= right triangle

C= obtuse triangle

Answer:

Step-by-step explanation:

For the first box, B would be incorrect, since an equilateral triangle's angle measurements would all be equal. 62+62 is 124, and a triangle needs to add up to 180. As the final angle is 56, it can't be equilateral!

For the second box, C is the incorrect answer, since it is both a right triangle and scalene. The first angle is 22, the second is 90, and the third is unknown. As it needs to add up to 180, it wouldn't be possible for the unknown angle to be 158.

For the third box, C is also incorrect, since it needs to add up to 180. 108+72+72 is not possible, since that would be much higher than the 180 total.  

Answer:

21

Step-by-step explanation:

Step-by-step explanation:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Height of the top of the ladder from the ground

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

\(sinθ\:=\: \frac{opposite}{hypotenuse}\)

\(sin(65°)\:=\: \frac{opposite}{5\: m}\)

\(opposite\:=\:(5 \:m )\:sin(65°)\)

\(opposite\:=\:4.53 \:m\)

Please refer to the photo for the illustration

Answer:

1

Step-by-step explanation:

By the remainder theorem,

(x-2)=0

x=2

p(0)=16-24+8+2-1

=1

I hope this helps  you

Step-by-step explanation:

Answer:The answer is 1

Step-by-step explanation:

Answer:

a = 8 m

Step-by-step explanation:

Since, given is an isosceles right triangle.

So, by Pythagoras theorem:

\( {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m\)

Answer:

this is my answer but it's on you if you think this answer is correct or wrong

Answer:

  Patty, Karla, Cathy

Step-by-step explanation:

The scoring percentage of goals attempted can be computed by dividing goals made by those attempted, then multiplying the result by 100%.

__

Cathy's rate is ...

  27/54 × 100% = 50%

Karla's rate is ...

  18/45 × 100% = 40%

Patty's rate is ...

  given as 34%

__

By least to greatest scoring rate, the athletes are ...

  Patty (34%), Karla (40%), Cathy (50%)

The true similarity statement are using Right Triangle Altitude Theorem :

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

By the Right Triangle Altitude Theorem,

If the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then the triangles formed by the division are similar to each other and both are similar to the original triangle.

Using this,

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Hence the true statements are ΔABD similar to ΔBCD, ΔABC similar to ΔADB, ΔABC similar to ΔBDC.

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The complete question is given below.

Check the picture below, with that template in mind

\(y = \stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{4}|\stackrel{D}{-3}\qquad \begin{cases} A=2~~,~~B=1\\ \qquad \textit{shrinks by a factor of 2}\\ B=1~~,~~C=4\\ \qquad \textit{horizontal leftwards shift by }\frac{4}{1}=4\\ D=-3\\ \qquad \textit{vertical downwards shift by 3} \end{cases}\)

Answer:

Let's define the variables :

Q = number of quarters that Victor has

P = number of pennies that victor has

D = number of dimes that victor has.

We know that:

"He has three times fewer pennies than dimes"

P = D*3

"he has 4 fewer quarters than pennies."

Q = P - 4

And we know that in total, he has $4.60, then:

Q*$0.25 + P*$0.10 + D*0.05 = $4.60

Then we have a system of equations:

P = D/3

Q = P - 4

Q*$0.25 + P*$0.01 + D*0.10 = $4.60

To solve this, we need to replace variables in order to eliminate them.

We can start by replacing the first equation into the other two:

Q = D/3 - 4

Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60

Now we can replace the top equation into the bottom one:

(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60

And now solve this for D:

D*($0.25/3 + $0.01/3 + $0.10) -$1  = $4.60

D*$0.1866... = $4.60 + $1.00 = $5.60

D = $5.60/$0.1866... = 30

Then he has 30 dimes.

P = D/3 = 30/3 = 10 pennies

Q = P - 4 = 10 - 4 = 6 quarters.

In total he has 30 + 10 + 6 = 46 coins.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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The correct question has r(t) = e^t sint i + e^t cost j + √2 e^t k

Answer:

(a) 2e^t

(b) r(t) = (L/2 + 1)sin(ln|L/2 + 1|) i + (L/2 + 1)cos(ln|L/2 + 1|) j + √2(L/2 + 1) k

Step-by-step explanation:

Given r(t) = e^t sint i + e^t cost j + √2 e^t k

(a) To find the arc length of the function, we first differentiate r(t) to obtain r'(t). Doing this, we have

r'(t) = (cost + sint)e^t i + (cost - sint)e^t j + √2 e^t k

Next, we find the magnitude of r'(t). Doing this, we obtain

|r'(t)| = √{[(cost + sint)e^t]² + [(cost - sint)e^t]²+ (√2 e^t)² k}

= √(4e^(2t))

= 2e^t

(b) Now, because t = 0 corresponds with the (0, 1, √2), we have the arc length function, L to be the integral from 0 to t of |r'(v)|dv

L = integral of 2e^v dv from v = 0 to t.

Evaluation the integral, we have

L = 2e^t - 2e^0

= 2e^t - 2

L = 2(e^t - 1)

Let us make t the subject of the formula.

Divide both sides by 2

L/2 = e^t - 1

Adding 1 to both sides

L/2 + 1 = e^t

e^t = L/2 + 1

Taking natural logarithm of both sides

t = ln|L/2 + 1|

Finally, we put t = ln|L/2 + 1| in the original equation, r(t) we were given to have

r(t) = (L/2 + 1)sin(ln|L/2 + 1|) i + (L/2 + 1)cos(ln|L/2 + 1|) j + √2(L/2 + 1) k

In this exercise we have to use the knowledge of arc length of a function, thus we find that:

(a) \(2e^t\)

(b)\(r(t) = (L/2 + 1)sin(ln|L/2 + 1|) + (L/2 + 1)cos(ln|L/2 + 1|) + \sqrt 2(L/2 + 1)\)

Given the function as:

\(r(t) = e^t sin(t) + e^t cos(t) + \sqrt{2 e^t }\)

(a) To find the arc length of the function, we have:

\(r'(t) = (cost + sint)e^t + (cost - sint)e^t+ \sqrt2 e^t\\|r'(t)| = \sqrt{[(cost + sint)e^t]^2 + [(cost - sint)e^t]^2+ (\sqrt2 e^t)^2 }\\= \sqrt(4e^{(2t)})\\= 2e^t\)

(b) We have the arc length function, L to be the integral from 0 to t, so:

\(L = \int\limits^t_0 {2e^v} \\L = 2e^t - 2e^0\\= 2e^t - 2\\L = 2(e^t - 1)\\L/2 = e^t - 1\\L/2 + 1 = e^t\\e^t = L/2 + 1\\t = ln|L/2 + 1|\\\)

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Answer:

B. 14,525

Step-by-step explanation:

If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:

$35 x 415 = $14,525

Therefore, the answer is B. $14,525.

The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

36.8

Step-by-step explanation:

Hope this should do the trick if you can find this answer; 36.8.

Answer:

Classification of rhombus

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

two ways:

1. find the area of the trapesium

1/2(sum of parallel sides)x height

= 1/2(7+2)×12

1/2(9x12)

1/2(108)

= 54

Or

you can divide the figure into 2 parts, rectangle and triangle,

so you find the area of triangle(1/2basexheight) and then the area of rectangle (length x width)

and then add the two areas. it should also give you same answer.

let me know if it makes sense

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way as before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equations:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.