A store sells rope by the meter. The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.





How much does the nylon rope cost per meter?







Do not include units ($) in your answer.

Answer:

10

Step-by-step explanation:

The smallest and largest possible values of ||v − w|| are 3 and 11, respectively. The smallest and largest values of v · w are 0 and 28, respectively.

The magnitude of a vector is a measure of its length or size. In mathematics, it is represented by two vertical bars surrounding the vector symbol, for example, ||v||.

In this case, we have two vectors, v and w, with magnitudes ||v|| = 7 and ||w|| = 4.

When the vectors v and w point in the same direction, the magnitude of their difference is at its minimum. In this case, ||v − w|| = ||v|| − ||w|| = 7 − 4 = 3.

On the other hand, when the vectors v and w point in opposite directions, the magnitude of their difference is at its maximum. In this case, ||v − w|| = ||v|| + ||w|| = 7 + 4 = 11.

Next, let's consider the dot product of v and w, also known as the scalar product. The dot product of two vectors is a scalar value that is proportional to the magnitudes of the vectors and the cosine of the angle between them.

The smallest possible value of the dot product of v and w is 0, which occurs when they are orthogonal or perpendicular to each other. The largest value of the dot product of v and w is equal to the product of their magnitudes, which occurs when they are parallel. In this case, the largest value of v · w is v · w = ||v|| * ||w|| = 7 * 4 = 28.

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Answer:

66.42° for Y

23.58° for Z

90° for X

Answer:

I think 8

Step-by-step explanation:

The value of the integral is 8pi/5^5. To evaluate this expression, we need to set up the triple integral in spherical coordinates, since the ball has a spherical shape with center at the origin.

We have:

yyyb sx^2 + y^2 + z^2 dV

In spherical coordinates, we have:

x = r sin(phi) cos(theta)
y = r sin(phi) sin(theta)
z = r cos(phi)

where r is the distance from the origin to the point (x, y, z), phi is the angle between the positive z-axis and the line connecting the origin to the point, and theta is the angle between the positive x-axis and the projection of the line onto the xy-plane.

Since the ball has center at the origin and radius 5, we have:

0 <= r <= 5
0 <= phi <= pi
0 <= theta <= 2pi

Using the Jacobian transformation, we have:

dV = r^2 sin(phi) dr dphi dtheta

Substituting into the integral, we have:

yyyb sx^2 + y^2 + z^2 r^2 sin(phi) dr dphi dtheta

= yyyb s(r^4 sin(phi)) dr dphi dtheta

= s(0 to 5) s(0 to pi) s(0 to 2pi) r^4 sin(phi) dr dphi dtheta

= s(0 to 5) r^4 dr s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) (2)(2pi) s(0 to pi) sin(phi) dphi

= (1/5^5) (2)(2pi) (2)

= 8pi/5^5

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To find the sum of 305 and 84, proceed as follows:

The answer is 389.

The formula for an exponential function is y = 45/8x + 57/8.

Here we have to find the formula for an exponential function that passes through the points.

Given data:

The two points are (-1, 3/2) and (3, 24).

We need to find the slope of the line. So,

Slope(m) = (y2 - y1) / (x2 - x1)

m = (24 - 3/2) / ( 3+ 1)

   = 45/ 8

The general equation of a line:

y = mx + c

Now putting the value of x and y as -1 and 3/2 and m = 45/8.

3/2 = -1 × 45/8 + c

c = 57/8

Now we get the equation:

y = 45/8x + 57/8

Therefore the equation is y = 45/8x + 57/8.

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Ben should have received $735 in Australian dollars at the given exchange rate.

The value of one currency represented in terms of another is called an exchange rate. It is the cost associated with exchanging one currency for another. The dynamics of supply and demand in the market dictate exchange rates, which are continually changing in response to a variety of political and economic variables including inflation, interest rates, trade balances, and geopolitical events. Currency rates have an impact on the price and profitability of transactions between nations, making them crucial for international commerce and investment. As they govern how much foreign currency can be received for a certain quantity of local currency, they are especially crucial for those who travel or transfer money overseas.

Given that, the exchange rate was £1 = $2.1.

Thus,

£350 * $2.1/£1 = $735

Therefore, Ben should have received $735 in Australian dollars.

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Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.

An event that is certain to happen has a probability of 1.

"Study smart one triangle has vertices a,b, and c. another has vertices t, r, and i, are the 2 triangles similar?"

It is not possible to determine if the two triangles are similar based on the information provided.

In order for two triangles to be similar, they must have the same shape but not necessarily the same size. The sides of the two triangles must be in proportion and corresponding angles must be congruent.

Similarity between two triangles can be determined by using the criterion of AAA similarity or SAS similarity, which states that two triangles are similar if:

without knowing the measures of the angles and sides of the triangles, it is impossible to determine if the two triangles are similar.

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Answer:

Absolute value is how many steps it takes to get to 0

Step-by-step explanation:

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero

Answer:

The magnitude (true distance from zero) of a number or measurement, regardless of sign. Usually the true positive value of a number.

Examples:

|–6| = 6

|4| = 4

|200| = 200

|–5000| = 5000

|0.5| = 0.5

Answer

90*

Step-by-step explanation:

Answer:

s = 30

Step-by-step explanation:

The three angles lie on a line.

The sum of angles on a line are supplementary, meaning they add up to 180 degrees.

Answer:

Step-by-step explanation:

The function y = -2 is a constant function. It means that the output of the function is always equal to -2, regardless of the input value.

Here is a function table that shows the input and output values for y = -2:

x y

1 -2

2 -2

3 -2

4 -2

5 -2

As you can see, for any value of x, the output is always -2, since y = -2 is a constant function

Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation:

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

xy

Step-by-step explanation:

The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.

To start, we can list each value's factors.

For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y

Similarly, for xy² = x*y*y, our factors are x, y, and y²

The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy

Answer:

A set is continuos if the values of the set can be any value in the given ranges

A set is discrete if the values of the set are finite and separate.

Than:

a) The weight of a puppy.

The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.

b) The number of puppies in a litter.

Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.

c) A person's temperature.

Temperature can be any value in a given range, so this is a continuous set.

d) The dress sizes of women.

Normally, there is a given set of dress sizes like s, l, xl, etc.

So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)

Answer:  1/3

Step-by-step explanation:

6x + 2y = 24

2y= -6x + 24

y = -3x + 12

Perpendicular slope is opposite reciprocal

= 1/3

Answer:

11 sit ups per day

Step-by-step explanation:

because 44/4 = 11

Answer:

11sit ups each day

Step-by-step explanation:

divide 44by 4

Answer:

when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

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Answer:

------------------------------

Perimeter is the sum of side lengths:

Substitute side lengths into formula:

Answer:

1/24

Step-by-step explanation:

1 ft = 12 in

8 X 12 = 96

96/4 = 24

1/24 is the scale factor

Answer: 24:1 (The tiger : The tiger model)

Step-by-step explanation:

1 feet =12 inch

so 8 feet=96 inch

The tiger : The tiger model= 96:4= 24:1

Answer:

Step-by-step explanation:

3b - 4 = 11

3b = 15

b = 5

Statistics can promote limitations in perception in all the following ways, except by Option C. Considering alternative perspectives when defining variable relationships.

Option C encourages a holistic approach to analyzing statistics, rather than promoting limitations in perception. It encourages the analyst to consider different perspectives when interpreting the data, thus allowing a more comprehensive understanding.

This open-minded approach is essential in order to form valid conclusions. When taking into account multiple perspectives, the analyst is able to come to a more informed conclusion, rather than relying on a single-perspective interpretation. Option C does not promote limitations in perception, as it encourages a more open-minded approach to interpreting the data.

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Answer: the answer is 0

Step-by-step explanation:

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

4 containers orange juice

4 containers pinapple

2 containers cranberry

Step-by-step explanation:

1000 milliliters are in a liter

4 liters orange juice, 4*500 = 2,000

4 liters pinapple, 4*500 = 2,000

2 liters cranberry, 2*500 = 1,000

Total 5 liters

Answer:

1,001

Step-by-step explanation:

Any number that ends in 1, 3, 5, 7 or 9 is an odd number. This is because the number cannot be divided by 2 evenly So 999 is an odd number. An even number is an integer which is evenly divisible by 2.