The actual distance between two towns is 90 miles. If the scale on a map is 1 inch = 30 miles, what is the distance between the two towns on the map ?

The attributes of a continuous quantitative variable include the fact that it can take on any value within a range of values and there are no required gaps between values.

This means that there is a continuum of possible values that the variable can take on, without any set intervals or limits. Additionally, it is typically the result of measuring something, such as height, weight, or time, and can be represented by both integer and non-integer values. However, it is important to note that continuous variables cannot only be represented by integer values, as they can take on any value within their range.

Hi!The attributes of a continuous quantitative variable are:

1. It can take on any value within a range of values: Continuous variables can have an infinite number of values within a specified range, such as height or weight.
2. There are no required gaps between values: Continuous variables can have any value, including fractions and decimals, without restrictions on the difference between values.
4. It is typically the result of measuring something: Continuous variables often represent measurements like distance, time, or temperature.

Note that "it can only be represented by integer values" is not an attribute of continuous variables, as they can have non-integer values as well.

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The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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Answer:

C - Sarah reads 4 pages in the morning and 6 pages at night for two days.

Step-by-step explanation:

(4+6)*2

(10) - C is the only one where they (do) something that equals 10, and does it twice.

A - (6+2)*4

B - 4 + (6*2)

D - (4 + 6) + 2

Answer:

C.

Step-by-step explanation:

For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.

The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.

The correct answer is C.

Hope this helps!

Answer:

they only had one pair of trunks

Step-by-step explanation: i hope that helps you

When a ≠ b, the convolution of the finite duration sequences h(n) and x(n) is given by the summation of terms involving powers of a and b. When a = b, the convolution simplifies to (N + 1) * a^n, where N is the length of the sequence.

To find the convolution of the two finite duration sequences h(n) and x(n), we will use the formula for convolution:

y(n) = h(n) * x(n) = ∑[h(k) * x(n - k)]

where k is the index of summation.

i) When a ≠ b:

Let's substitute the values of h(n) and x(n) into the convolution formula:

y(n) = ∑[a^k * u(k) * b^(n - k) * u(n - k)]

Since both h(n) and x(n) are finite duration sequences, the summation will be over a limited range.

For a given value of n, the range of summation will be from k = 0 to k = min(n, N), where N is the length of the sequence.

Let's evaluate the convolution using this range:

y(n) = ∑[\(a^k * b^{(n - k)\)] (for k = 0 to k = min(n, N))

Now, we can simplify the summation:

y(n) = \(a^0 * b^n + a^1 * b^{(n - 1)} + a^2 * b^{(n - 2)} + ... + a^N * b^{(n - N)\)

ii) When a = b:

In this case, h(n) and x(n) become the same sequence:

h(n) = \(a^n\) * u(n)

x(n) =\(a^n\) * u(n)

Substituting these values into the convolution formula:

y(n) = ∑\([a^k * u(k) * a^{(n - k) }* u(n - k)\)]

Simplifying the summation:

y(n) = ∑[a^k * a^(n - k)] (for k = 0 to k = min(n, N))

y(n) = \(a^0 * a^n + a^1 * a^{(n - 1)} + a^2 * a^{(n - 2)}+ ... + a^N * a^{(n - N)\)

y(n) =\(a^n + a^n + a^n + ... + a^n\)

y(n) = (N + 1) * a^n

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The convolution of two sequences involves flipping one sequence, sliding the flipped sequence over the other and at each position, multiplying corresponding elements and summing. If a ≠ b, this gives a new sequence, while if a=b, this becomes the auto-correlation of the sequence.

The convolution of two finite duration sequences, namely h(n) = a^n*u(n) and x(n) = b^n*u(n), can be evaluated using the convolution summation formula. This process involves multiplying the sequences element-wise and then summing the results.

i) When a ≠ b, the convolution can be calculated as:

The results will be a new sequence representative of the combined effects of the two original sequences.

ii) When a = b, the convolution becomes the auto-correlation of the sequence against itself. The auto-correlation is generally greater than the convolution of two different sequences, assuming that the sequences aren't identical. The steps for calculation are the same, just the input sequences become identical.

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Answer:

48

Step-by-step explanation:

6(miles per day) * 8(days) = 48

Answer: D¢(-3, 10), E¢(0, -1), F¢(-5, 8)

Step-by-step explanation:

Answer:

390625

Step-by-step explanation:

Five multiplied by 5 8 times is rlly just 5^8

Answer:390,624

Step-by-step explanation:

5x5x5x5x5x5x5x5

Answer:

1. 3.75 or 3/4

2. 5.3

3. 4.5

4. 3.4

Step-by-step explanation:

hope this helped i tried :/

1) 3.75

2) 5.33

3) 4.5

4) 3.42

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.

For solids (regular and irregular):

Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).

Determining the volume:

Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.

Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.

Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).

For liquids:

Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.

Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).

Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).

The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.

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Answer:

7^11

Step-by-step explanation:

keep the common number the same when you multiply numbers with the same base number and then just add the index

This statement is False as the probability of intersection of two events is always less than the probability of union.

This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.

The chance of two events A and B occurring together can be calculated using the following formula to see why:

According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.

When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:

Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.

P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:

This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alex bought a new skate board at 20% discount. He paid $72. What percent of the original price did he pay?

Step 1

We find the original price

= Percent Discount × Original price =

= 20% × Original price = $72

= 0.2 × x = $72

x = $72/0.2

x = 360

Answer:

320

Step-by-step explanation:

The given series is an illustration of an arithmetic series, where the sum of first 10 terms of the series is -160.

Given

\(2 + (-2) + (-6) + (-10) +.......\)

First, we calculate the common difference of the series

\(d = T_2 - T_1\)

\(d = -2 -2\)

\(d = -4\)

The sum of the first nth term of an arithmetic series is:

\(S_n = \frac n2(2a + (n - 1)d)\)

Where:

\(n = 10\) ---- i.e. sum of 10 terms

\(a = 2\) --- the first term

\(d = -4\) --- the common difference

So, we have:

\(S_{10} = \frac{10}{2}(2 \times 2 + (10 - 1) \times -4)\)

\(S_{10} = 5(4 + 9 \times -4)\)

\(S_{10} = 5(-32)\)

\(S_{10} = -160\)

Hence, the sum of 10 terms of the series is -160.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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Answer:

see below

Step-by-step explanation:

When D reflects across l it becomes the mirror image.  The front of D faces the line.  Then we reflect again across m it will become a mirror image of the mirror image ( or be a D again)

The quotient of "has" in the numerator and "in the denominator" is undefined.

In the given phrase, it is unclear what values or expressions "has" and "in the denominator" represent. Without specific numerical or algebraic values, we cannot calculate a quotient or provide a meaningful answer.

In mathematics, a quotient refers to the result of division, where the numerator is divided by the denominator. However, since the given phrase does not provide any specific values or expressions for "has" and "in the denominator," it is impossible to perform the division or determine a numerical or algebraic result.

Therefore, the quotient of "has" in the numerator and "in the denominator" is undefined due to the lack of information or context provided.

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The area of the replica is approximately 1.33 square feet, Rounded to the nearest hundredth.

If the original artwork has an area of 12 square feet, then a replica created by dilating the original by a scale factor of 1/3 will have an area that is (1/3)^2 = 1/9 of the original area. Therefore, the area of the replica will be:

12 square feet × 1/9 = 4/3 square feet ≈ 1.33 square feet

A scale factor is a multiplier that scales or resizes a shape, figure, or object. It is used to determine the size of a new shape or figure when it is scaled up or down by a certain factor. The scale factor can be expressed as a ratio, a fraction, or a decimal. For example, if a rectangle has a length of 10 units and a width of 5 units, and it is scaled up by a factor of 2, the new rectangle will have a length of 20 units and a width of 10 units. The scale factor, in this case, is 2.

Scale factors are commonly used in geometry, especially in transformations such as dilation, which involves scaling a shape by a certain factor without changing its shape. Scale factors can also be used in real-world applications such as maps, where a scale factor is used to represent the ratio between the distance on the map and the actual distance on the ground.

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Complete Question:

an art gallery is selling replicas of some famous artworks. a copy of the artwork is dilated by a scale factor of \(\frac{1}{3}\) to create a replica of the original piece. if the area of some original artwork was 12 square feet, what will be the area of the replica? enter the answer in the box, rounded to the nearest hundredth.

What is an associative property?

Given expressions with rearrangement as per associative property are:

(a) 7x+3+6x+11

  =(7x+6x)+(3+11)

(b) 12x+10+3+8x

  =(12x+8x)+10+3

(c) 10y+12-7y-8-3y

 =(10y-7y-3y)-(-12+8)

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Given:

Equations are given in the roots.

In square root, if two terms are in the root means we cn write one term outside the root.

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

They have 4 sides

that's what they all have in common

let me know if you need something more specific