in a study of the u.s. census, informants would be , whereas respondents would be .

Answer:

Step-by-step explanation:

is there a graph or something? or are you supposed to write it out as an equation, cuz if so its p-4

Answer:

p - 4

Step-by-step explanation:

when it says "the difference" its a subtraction

when it says "of ___ and ___" the subtraction is between these two number; therefore the expression is p - 4

if it had said "the sum" it will be addition

if it had said "the product" it will be multiplication

the boat will travel 70 kilometers in 3.5 hours when moving at a rate of 20 kilometers per hour.

To calculate the distance traveled by a boat, we can use the formula: Rate x Time = Distance.

In this case, the rate of the boat is 20 km per hour, and the time is 3.5 hours.

Using the formula, we have:

Distance = Rate x Time

Distance = 20 km/h x 3.5 hours

Calculating the result:

Distance = 70 km

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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The distributive law is the law to apply to have the following equivalence:

(¬p∨r)∧(¬q∨r)≡(¬p∧¬q)∨r.

Hence, the correct option is (D) Distributive law.

What is Distributive Law?

The distributive property is the most commonly used property of the number system.

Distributive law is the one which explains how two operations work when performed together on a set of numbers. This law tells us how to multiply an addition of two or more numbers.

Here the two operations are addition and multiplication. The distributive law can be applied to any two operations as long as one is distributive over the other.

This means that the distributive law holds for the arithmetic operations of addition and multiplication over any set.

For example, the distributive law of multiplication over addition is expressed as a(b+c)=ab+ac,

where a, b, and c are numbers.

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Answer:

3x-y=-5

Step-by-step explanation:

f is well-defined but not onto or one-to-one, g is well-defined and one-to-one but not onto, and his is well-defined but not onto or one-to-one.

I. A function is well-defined if each element in the domain is assigned a unique element in the range.

Looking at the definitions of the functions given, we can see that each element in the domain is assigned a unique element in the range for all three functions.

Therefore, all three functions f, g, and h are well-defined.

II. A function is onto if every element in the range is mapped to by at least one element in the domain.

To determine if a function is onto, we need to check if every element in the range {a, b, c, d} is assigned to at least one element in the domain {1, 2, 3, 4}.

For f, we can see that a and b are both assigned to elements in the domain, but c and d are not.

Therefore, f is not onto.

For g, we can see that every element in the range is assigned to an element in the domain.

Therefore, g is onto.

For h, we can see that a and d are both assigned to elements in the domain, but b and c are not.

Therefore, h is not onto.

III. A function is one-to-one if each element in the domain is assigned to a unique element in the range.

To determine if a function is one-to-one, we need to check if no two elements in the domain are assigned to the same element in the range.

For f, we can see that both 1 and 3 are assigned to a. Therefore, f is not one-to-one.

For g, we can see that no two elements in the domain are assigned to the same element in the range. Therefore, g is one-to-one.

For h, we can see that both 3 and 4 are assigned to a. Therefore, h is not one-to-one.

In summary, f is well-defined but not onto or one-to-one, g is well-defined and one-to-one but not onto, and h is well-defined but not onto or one-to-one.

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Answer: 6.8

Step-by-step explanation:

By the Law of Cosines,

\(c^2 = 5^2 + 9^2 - 2(5)(9)\cos 48^{\circ}\\\\c=\sqrt{5^2 + 9^2 - 2(5)(9)\cos 48^{\circ}}\\\\c \approx 6.8\)

Answer:

\(5(4)^x=320\\\frac{5(4)^x}{5}=\frac{320}{5}\\ 4^x=64\\x*(log(4) )=log(64)\\x=\frac{log(64)}{log(4)}\\ x=3\)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

16.) The store bought 816 light bulbs

17.) The total savings of Mr. Wilson after he buys the tickets is $268

Answer:

oki so the answer for the other question is 9. 1,100 and 10. 2,920

Step-by-step explanation:

Step-by-step explanation:

Using the rules of PEDMAS :

32  ÷  10 - 8  ÷ 2 - 3 = 5

32 ÷ (10-8)   ÷  2  -3  = 5

32 ÷ 2  ÷  2  -3  = 5  

       With multiple divisions or multiplications go from L to right in order

16  ÷  2  - 3 = 5

  8 - 3 = 5

1/2 x 12 ÷2-2+11 = 13

1/2 x (12 ÷ 2 - 2) + 11 = 13

1/2 x (6-2) + 11 =13

1/2 (4) + 11 = 13

   2 + 11 = 13

50 different greek armies, the upper class and the lower class soldiers battalions can be sent.

The Greek army can form different battalions by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. This problem can be solved using a combination formula known as a binomial coefficient.

The number of different battalions that can be sent is:

(5 choose 4) * (10 choose 8) = 5*10 = 50

Different battalions can be formed by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. Therefore, 50 different battalions can be sent.

So, 50 different battalions can be sent.

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The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

a) y=0.75x+12    (y=ax+b)

b)a=0.75

c)b=12 (b=y-intercept, the place where the graph hits the Y axis). It's the starting cost, the cost that will be paid only one time

d) starts at (0,12) and goes up +0.75 each time

Answer:your answer is...

Step-by-step explanation:

a) y=0.75x+12

b)a=0.75

c)b=12 (b=y-intercept, the place where the graph hits the Y axis). It's the starting cost, the cost that will be paid only one time

d) starts at (0,12) and goes up +0.75 each time

A scientist estimates that would be  \(2^5 \cdot 3^3 \cdot 10^5\) bacteria in a Petri dish. we can say that there are 86400000 bacteria in a Petri dish. standard form

Given :

A scientist estimates that, after a certain amount of time, there would be \(2^5 \cdot 3^3 \cdot 10^5\) bacteria in a Petri dish.

To write it in standard form , we need to expand the exponent and multiply it

2^5, we multiply 2 five times

\(2^5= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2=32\\3^3=3 \cdot 3 \cdot 3= 27\\10^5=10 \cdot 10 \cdot 10 \cdot 10 \cdot 10=100000\)

Now we multiply all the numbers

\(2^5 \cdot 3^3 \cdot 10^5\\32 \cdot 27 \cdot 100000\\86400000\)

There are 86400000 bacteria in Petri dish.

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x = -6

So the solution to the system of equations is x = -6, y = 1. To solve this system of equations by the addition method, we need to add the two equations together in such a way that one of the variables is eliminated.

Multiplying the first equation by -3, we get:

-3x - 6y = 12

Adding this to the second equation:

3x + 3y = -15

-3x - 6y = 12

We can see that the x terms cancel out, leaving us with:

-3y = -3

Dividing both sides by -3, we get:

y = 1

Now that we know y, we can substitute this value back into either of the original equations to solve for x. Let's use the first equation:

x + 2y = -4

x + 2(1) = -4

x + 2 = -4

x = -6

So the solution to the system of equations is x = -6, y = 1.

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Answer:

there fore kx = -13x^2-73x+5

then k = -13x^2-73x+5/x

Step-by-step explanation:

given that

5x+1x-2+4x^2+kx+9x^2-5+61x+6x-3 =

= you can write it as

4x^2+9x^2+kx+6x+61x+6x-5

= 13x^2+kx+73x-5

then find kx

-kx = 13x^2+73x-5

there fore

kx = -13x^2-73x+5

then k = -13x^2-73x+5/x

The probability that a household will have high-speed internet and mobile phone service is 0.4 or 40%.

The probability that a household will have high-speed internet and mobile phone service can be calculated as 80 divided by the total number of households surveyed.

In the given scenario, we have information about the number of households with high-speed internet, land-line phone service, and mobile phone service. We are specifically interested in determining the probability of a household having both high-speed internet and mobile phone service.

According to the information provided, there are 200 households surveyed in total. Of these, 110 have high-speed internet, and 128 have mobile phone service. Additionally, 27 households have both high-speed internet and land-line phone service, and 31 households have both land-line phone service and mobile phone service. Furthermore, out of the households with mobile phone service, 80 also have high-speed internet.

To calculate the probability of a household having high-speed internet and mobile phone service, we divide the number of households with both services (80) by the total number of households surveyed (200):

Probability = 80 / 200 = 0.4

The probability  is 0.4 or 40%, that a household will have high-speed internet and mobile phone service

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The equivalent expression to 17g-2g will be (17-2)g.

According to the question,

We have the following expression:

17g-2g

Now, we can simplify this expression easily to find the equivalent expression.

So, our first step will be to take g as a common factor from both the terms. Now, we have the following expression:

(Note that the common factor means that the variable or the number taken as a common factor should be able to divide the terms given in the expression.)

(17-2)g

Now, this can be solved further because 2 can be subtracted from 17 because they both are integers without any variable.

Hence, the correct option is C.

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Answer:

75.

Step-by-step explanation:

The mean = (78 + 64 + 74 + 92 + 67) / 5

                 = 375 / 5

                 = 75.

Answer:A.75

Step-by-step explanation:

i did it in class

We are given the following endpoints

A (2, 4) and B (17, 14)

We need to find point P such that the segment is in the rato of 2:3

Total segments = 2+3 = 5

The x-coordinate of the point P is given by

The y-coordinate of the point P is given by

Therefore, the point P is (8, 8)

Answer:

7x + 33 = 10x

3x = 33, so x = 11

These congruent alternate interior angles measure 110°.

The value of x in the parallel line is 11.

When parallel line are crossed by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angles, alternate interior angles, same side interior angles, vertically opposite angles etc.

Therefore, let's find the value of x using the angle relationship.

Hence,

7x + 33 = 10x (alternate interior angles)

33 = 10x - 7x

3x = 33

divide both sides by 3

x = 33 / 3

Therefore,

x = 11

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I don't no this answer so sorry

The cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

We have been given that a rectangular mural has a length of 90 centimeters and a width of 30 centimeters less than its length.

Length = 90 cm

Width = 90 - 30 = 60 cm

The formula to calculate the perimeter of a rectangle,

Perimeter = 2(length + breadth)

Perimeter = 2(90 + 60)

Perimeter = 2(150)

Perimeter = 300

Therefore, the cost to border the outside of the mural using 1-centimeter square tiles costs $2 each.

= 300 x 2

= 600 dollar

Therefore, the cost to border the outside of the mural using 1-centimeter square tiles is 600 dollars.

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3 1/2 subtracted from 4 7/8 is equal to 3/8.

A fraction is a quantity that is not a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.

A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a mixed number is 3 1/2.

Subtraction is the mathematical operation that is used to determine the difference of two or more numbers. The sign used to represent subtraction is -.

\(3\frac{1}{2} - 4\frac{7}{8}\)

\(-1\frac{4 - 7}{8}\)

\(-1\frac{-3}{8}\) = 3/8.

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It would be ideal to utilise a piece of software or an internet calculator created especially for calculating the Moody friction factor. This will produce a result that is more precise and effective.

How to find?

To find the approximate Moody friction factor, you can use the Colebrook equation, which relates the friction factor (f) to the Reynolds number (Re), pipe roughness (ε), and pipe diameter (D).

The equation is:

\(1 / sqrt(f) = -2 * log10((ε / (3.7 * D)) + (2.51 / (Re * sqrt(f))))\)

First, convert the pipe diameter from cm to meters by dividing by 100:

D = 10 cm / 100

= 0.1 m

Next, plug in the given values into the Colebrook equation and solve for the friction factor:

\(1 / sqrt(f) = -2 * log10((0.06 mm / (3.7 * 0.1 m)) + (2.51 / (250,000 * sqrt(f))))\)

Rearrange the equation to solve for sqrt(f):

\(sqrt(f) = 1 / (-2 * log10((0.06 mm / (3.7 * 0.1 m)) + (2.51 / (250,000 * sqrt(f)))))\)

Square both sides to solve for f:

\(f = (1 / (-2 * log10((0.06 mm / (3.7 * 0.1 m)) + (2.51 / (250,000 * sqrt(f))))))^2\)

Using an iterative method or a calculator, you can approximate the value of f.

However, since the calculation involves an iterative process, it can be quite complex to solve manually.

Therefore, it would be best to use a software or online calculator specifically designed to solve for the Moody friction factor. This will give you a more accurate and efficient result.

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After performing the iterations, we find that the approximate Moody friction factor (f) is approximately 0.022.

The Moody friction factor is a dimensionless parameter used to describe the flow characteristics of fluid in a pipe. To determine the approximate Moody friction factor, you can use the Colebrook equation:
1/√f = -2log10((ε/D)/3.7 + 2.51/(Re√f))
Where:
f is the Moody friction factor,
ε is the pipe roughness,
D is the pipe diameter,
Re is the Reynolds number.
Given:
Pipe diameter (D) = 10 cm = 0.1 m,
Reynolds number (Re) = 250,000,
Pipe roughness (ε) = 0.06 mm = 0.00006 m.

Let's substitute these values into the Colebrook equation and solve for f:
1/√f = -2log10((0.00006/0.1)/3.7 + 2.51/(250,000√f))
Now, we need to solve this equation iteratively because the friction factor appears on both sides of the equation. We can use a numerical method called the Newton-Raphson method to solve for f.
Let's start by assuming an initial value for f, let's say f = 0.02. We'll use this initial value to calculate the left side of the equation:
1/√0.02
By substituting this into the right side of the equation, we can solve for the new value of f:
-2log10((0.00006/0.1)/3.7 + 2.51/(250,000√0.02))
We continue this iteration until we reach a convergence point, where the new value of f is very close to the previous value.

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