There are 34000 adults living in Grand City. In examining attitudes toward the news, a research group asked a random sample of Grand City adults "What is your main source of news?" The results are shown below.
Newspapers 56
Internet 86
Television 128
Radio 20
Other 49
Based on the sample, predict the number of adults in Grand City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

d

d

b

a

c

a

b

Step-by-step explanation:

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.

The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.

First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.

To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).

Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.

Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.

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Following the pattern, the most likely next step in the series is given by the pentagon in option B.

We have to look at the number of points in each figure, hence:

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Hence, the most likely next step in the series is given by the pentagon in option B.

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The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:

7

Step-by-step explanation:

The length of AB is the distance between A and B which is B-A -> 13-6= 7

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer:

Step-by-step explanation:

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

Answer:

the answer is 21

Step-by-step explanation:

the number she thinks of is 21 add 21 + 19 to get 40.

divide 40 by 5 to get 8.

Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

Answer:

C or D In a chemical change, the atoms in the reactants rearrange themselves and bond together differently to form one or more new products with different characteristics than the reactants. When a new substance is formed, the change is called a chemical change.

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

The sum of the measures of the interior angles of the pentagon is given as follows:

540º.

Hence the angle measures are given as follows:

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

A pentagon has five sides, that is, n = 5, hence the sum is given as follows:

S(5) = 180 x (5 - 2)

S(5) = 540º.

Then the value of x is obtained as follows:

x + 40 + 80 + x + 50 + x + 5 + 125 = 540

3x + 300 = 540

3x = 240

x = 80º.

Then the angle measures are given as follows:

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Answer:

585 km

Step-by-step explanation:

rate of speed formula: distance/time

455/7=65

65*9=585

Answer:

The other two angles are 22° , 22°

Step-by-step explanation:

To find the other angles, we can use angle sum property of triangle.

      The given angle 136° cannot be base angles. Let the base angles be x.

x + x + 136 = 180°

   2x + 136 = 180°

Subtract 136 from both sides,

            2x = 180 - 136

            2x = 44°

Divide both sides by 2,

              x = 44 ÷ 2

                \(\sf \boxed{x = 22^\circ}\)

Answer:42

Step-by-step explanation:

Answer:

What type of math is this

Step-by-step explanation:

The Cramer's rule is a method used to solve a system of linear equations. Given a system of two linear equations in two variables:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are the variables we want to solve for, we can use Cramer's rule to find the values of x and y.

Cramer's rule states that the solution for x is given by:

x = (det(Ax)) / (det(A))

where Ax is the matrix obtained by replacing the x column in the coefficient matrix with the constants c1 and c2, and det(Ax) is the determinant of Ax.

Similarly, the solution for y is given by:

y = (det(Ay)) / (det(A))

where Ay is the matrix obtained by replacing the y column in the coefficient matrix with the constants c1 and c2, and det(Ay) is the determinant of Ay.

Now, let's apply Cramer's rule to the system of linear equations:

x - y = -3

We can rewrite this equation as:

x + (-1)y = -3

So, the coefficient matrix A and the constants matrix B are:

A = | 1 -1 |

   | 0  0 |

B = | -3 |

   |  0 |

The determinant of A is:

det(A) = (1 * 0) - (0 * -1) = 0

Since the determinant is zero, Cramer's rule cannot be applied to this system of equations. This means that either the system has no solution or it has infinitely many solutions. In this case, we can see that the equation x - y = -3 represents a line in the xy-plane with slope 1 and y-intercept -3. This line does not intersect with the y-axis, which means that there is no solution to the system of equations.

Therefore, the system of equations x - y = -3 has no solution.

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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Answer:

Step-by-step explanation:

The sum of supplementary angles is 180°.

5x+95 = 180

5x = 85

x = 17°

Answer:

27

Step-by-step explanation:

4^3 is 4*4*4 which is 64

3/4^3 is 3/4*3/4*3/4 which is 27/64

then divide 64 ÷ 27/64

you can cross cancel 64 and get 27.

Answer: 150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

at the end of a number will either be the digits 0-9, so when rounding off if the last digits are 1-4 you round down and then 5-9 you round up

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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Answer:

3√2

Step-by-step explanation:

Distance (d) = \(\sqrt{((1 - -2)^2 + (3 - 6)^2)}\)

= \(\sqrt{((3)^2 + (-3)^2)}\)

= √18

= 3√2

Answer:

11

Step-by-step explanation:

To find the mean:

Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.

Solution:

Thus,

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Therefore, the mean is 11.

~lenvy~

Answer:

Step-by-step explanation:

just put them in order from least to greatest then find the middle number

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

200 ft squared of   W I N E

Step-by-step explanation:

W I N E

Answer:

12.8 × 1/4

=128/10×1/4

= 128 × 1

   10 × 4

=  128/40

=  128 ÷ 8

        40 ÷ 8

=  16/5= 3 1/5

16/5

Step-by-step explanation:

Answer:

Step by step on...How to multiply 12.8 x 1/4

Step-by-step explanation:

First off...1/4 is the same to...   .25

so

1. 12.8 x .25 to    12.80

                        x     .25

multiply 5 with zero which is zero

                           12.80

                        x     .25

                                  0

2. multiply 5 with 8 which is 40 ...put 4 above 2

                            4

                           12.80

                        x     .25

                                00

3.   multiply 5 with 2 which is 10 then add 4, which 14. Leave the four and put 1 on top of 1

                          1

                           12.80

                        x     .25

                            4 00

_____________________________________

4.   Then multiply 5 with 1 which is still 5 then add one which is 6

                           12.80

                        x     .25

                          64 00

_______________________________-

5.  then put underneath whatever we have a zero under

                           12.80

                        x     .25

                          64 00

                                   0

______________________________________________

6. multiply 2 with 0 which is 0 then 2 with 8 which is 16...put down 6 and put up the number 1 above 2

                            1

                           12.80

                        x     .25

                           64 00

                              600

____________________________________

7 . multiply 2 with 2 which is 4 then add 1 which is 5 put down 5 and multiply 2 with 1 soo

                           12.80

                        x     .25

                           64 00

                          25600

______________________________

8. then add them up.

                           12.80

                        x     .25

                           64 .00

                         256.00

                                      32000

then move the decimal 4 times to the left

                          12.80

                        x     .25

                        3 .  -2-0-0-0

-FINAL!  

                           12.80

                        x     .25

                               3.2