Transcribed image text: In 2000, 47% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.8% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, P(x), who regularly used the news outlet x years after 2000 P(x)= (Use integers or decimals for any numbers in the expression.)

Answers

Answer 1

Answer:

/.............................../././///////////////////////////////////////

Step-by-step explanation:

.


Related Questions

Classify the following triangle as acute, obtuse, or right.

Answers

Answer:

cool

Step-by-step explanation:

pooop

what is the inverse of this function? f(x)=-1/2 square root of x+3, x > -3

Answers

The inverse function of [tex]f(x) = -\frac 12\sqrt{x + 3}[/tex] is[tex]f^{-1}(x) = 4x^2- 3[/tex]

How to determine the inverse function?

The function is given as:

[tex]f(x) = -\frac 12\sqrt{x + 3}[/tex]

Rewrite as;

[tex]y = -\frac 12\sqrt{x + 3}[/tex]

Swap the positions of x and y

[tex]x = -\frac 12\sqrt{y + 3}[/tex]

Multiply through by -2

[tex]-2x = \sqrt{y + 3}[/tex]

Square both sides

4x^2 = y + 3

Subtract 3 from both sides

y = 4x^2 - 3

Express as an inverse function

[tex]f^{-1}(x) = 4x^2- 3[/tex]

Hence, the inverse function of [tex]f(x) = -\frac 12\sqrt{x + 3}[/tex] is[tex]f^{-1}(x) = 4x^2- 3[/tex]

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−5 = s−9. what is s?

Answers

Answer:

S= 4

Step-by-step explanation:

add 9 to -5

= 4

s=4

Use factoring by grouping to completely factor the following.

4x^3−3x^2−36x+27=

Answers

Answer: 3 answers

Step-by-step explanation:

Classify the polynomial by its degree and number of terms
n³ - 12n² + 6m² n²

Answers

Answer: It’s a trinomial

Step-by-step explanation: It has three terms, so it’s classified as a trinomial. (Tri=three)

Find the equation of a line whose slope is 1/2 and intersects negative y-axis at a distance of 7 units from the origin.

Answers

Answer:

Step-by-step explanation:

[tex]y=\frac{1}{2} x-7[/tex]

Answer:

y = 1/2x - 7

Step-by-step explanation:

The slope equation is: y = mx + b

m being the slope

b being the y-intercept

The problem says that the slope is 1/2, and says that it intersects negative y-axis, therefore the y-intercept is negative, so -7

what is the vertex form of y=2x^2+8x+1

Answers

Answer:

So, the vertex form of your function is  [tex]y(x)=2*(x+2)^2-7[/tex].

The vertex is at [tex](-2|-7)[/tex]

Step-by-step explanation:

Given function:

[tex]y(x)=2*x^2+8x+1[/tex]

Steps:

[tex]y(x)=2*x^2+8x+1\\[/tex]

[tex]y(x)=2(x^2+4x+\frac{1}{2} )[/tex]    (Factor out)

[tex]y(x)=2(x^2+4x+2^2-2^2+\frac{1}{2} )[/tex]  (Complete the square)

[tex]y(x)=2((x+2)^2-2^2+\frac{1}{2} )[/tex]  (Use the binomial formula)

[tex]y(x)=2((x+2)^2-\frac{7}{2} )[/tex]  (Simplify)

[tex]y(x)=2*(x+2)^2-7[/tex] (Expand)

y = a ( x − h ) 2 + k is vertex form.

-b/2a to get x of vertex (x , y)

-8/4 = -2

So far we have (-2, y)

plug -2 into equation:

y = 2(-2)^2 - 16 + 1

y = -7

(-2, -7)

so 2(x+2)^2 - 7



Data are collected about the amount of time, in minutes, each band member spends practicing. How does a single outlier change the lower and upper quartiles of the collected data?

A single outlier does not affect the values of the quartiles.
A single outlier causes the values of the quartiles to move slightly away from the outlier.
A single outlier doubles the values of the quartiles.
A single outlier causes the values of the quartiles to move slightly toward the outlier.

Answers

A single outlier does not affect the values of the quartiles.

What is the effect of the outlier on the value of the quartiles?

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier does not affect the values of the upper and lower quartiles. This is an advantage of the upper and lower quartiles over range.

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The difference of the squares of two numbers is 15. The difference of twice the square of the first number and the square of the second number is 30. Find the numbers.

Answers

Answer:

I think that's the answer

Write a two-column proof.

Given: 7y = 8x – 14; y = 6

Prove: x = 7

Answers

1) [tex]7y=8x-14, y=6[/tex] [given]

2) [tex]7(6)=8x-14[/tex] [substitution]

3) [tex]56=8x[/tex] [addition property of equality]

4) [tex]7=x[/tex] [division property of equality]

5) [tex]x=7[/tex] [symmetric property of equality]

A two columns proof is given in the attached image below as per the concept of solving equations.

A two columns proof is given below:

Statement | Reasons

y = 6 | Given

7y = 8x - 14 | Given

7(6) = 8x - 14 | Substitution (Substitute y with 6 in statement 2)

42 = 8x - 14 | Simplification

42 + 14 = 8x | Addition Property of Equality (Add 14 to both sides)

56 = 8x | Simplification

56/8 = x | Division Property of Equality (Divide both sides by 8)

7 = x | Simplification (Simplify the fraction 56/8)

x = 7 | Symmetric Property of Equality (Rearrange statement 9)

In this two-column proof, we start with the given information that y is equal to 6 (statement 1).

Then, we substitute the value of y into the equation 7y = 8x - 14 (statement 2) to get 42 = 8x - 14 (statement 3).

We simplify the equation to isolate 8x and find that 56 = 8x (statement 6). Dividing both sides of this equation by 8 (statement 7) gives us x = 7 (statement 8).

Finally, we use the symmetric property of equality to rearrange the equation and conclude that x is indeed equal to 7 (statement 9).

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If 2 sticks of butter make 36 cookies, how many sticks are you going to need to buy to make 3,000?

Answers

167 sticks of butter. We know this because one stick of butter makes 18 cookies so 3000 divided by 18 is 166.666667 but since you can’t buy that amount it would be 167

Sin (5x-25) = COS (3x)
X=?

Answers

Answer:

x=23

Step-by-step explanation:

put it in desmos and was right

El alto de una caja "y" mientras que su ancho es "g" pies.
¿Cuál es el perímetro de la caja en pulgadas?
O [(g+y)x 2]
O10[(g+y)x 6]
12[(g+y)x 4]
O 12[(g+y)x 2]

Answers

Por definición de perímetro y considerando el cambio de unidades, el perímetro de la caja en pulgadas es 12[(g+y)×2].

Definición de perímetro

El perímetro de un figura geométrica plana se denomina a la longitud de su contorno. El perímetro es, por tanto, una medida de longitud.

En otras palabras, el perímetro de una figura de dos dimensiones es la distancia alrededor de la figura y es el resultado de la suma de los lados de una figura geométrica plana. Por lo que para el cálculo del perímetro es necesario conocer el número de lados de la figura y la longitud de cada uno de esos lados.

Perímetro de una caja

Una caja se puede considerar como una figura que tiene cuatro lados con dos medidas diferentes (alto y ancho).

El alto de la caja es "y" mientras que su ancho es "g" pies, por lo que su perímetro P es calculado como:

P= 2g + 2y= 2×(g+y) pies

Luego, se puede aplicar la siguiente regla de tres para realizar el cambio de unidades a pulgadas: si 1 pies equivale a 12 pulgadas, 2×(g+y) pies equivales a cuantas pulgadas?

[tex]P=\frac{2x(g+y) piesx12 pulgadas }{1 pie}[/tex]

Resolviendo

P= 12[(g+y)×2] pulgadas

Finalmente, el perímetro de la caja en pulgadas es 12[(g+y)×2].

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Which list shows all the factors of 24?
A. 1, 2, 3, 4, 6, 8, 12, 24
B. 1, 2, 3, 4, 6, 12, 24
C. 1, 2, 4, 5, 6, 12, 24
D. 1, 2, 4, 6, 12, 24

Answers

Answer!!

it would be a

Step-by-step explanation:

what is the area of triangle ABC if the height is 4 yards and the base is 15 yards

Answers

Answer:

30 square yards

Step-by-step explanation:

You can calculate the area of a triangle by using the formula: [tex]A = \frac{1}{2}bh[/tex], where b=base, and h=height, and since you have both values you can easily calculate the area by plugging the values in

Plug Values Into Equation:

[tex]A = \frac{1}{2}(15)(4)[/tex]

Multiply 15 and 4

[tex]A=\frac{1}{2}(60)[/tex]

Multiply by 1/2 (or technically divide by 2)

[tex]A = 30[/tex]

Answer:

The answer is 30yd²

Step-by-step explanation:

A=hb b/2

=4·15/2

=30yd²

15) Complete.
Purchase Price: $450
Finance Charge: $82,50
Down Payment: $150
Number of Payments: 18
Monthly Payment:
O a.) $22.15
Ob.) $20.45
Oc.) $21.25
Od.) $22.25

Answers

The monthly payment for this purchase with a price of $450, a finance charge of $82.50, a down payment of $150, and 18 monthly payments is c.) $21.25.

What is the monthly payment?

The monthly payment is the periodic payment made to settle a mortgage loan.

When the total mortgage payment is determined, the monthly payment can be calculated as the dividend of the total mortgage payment and the number of monthly payments.

Data and Calculaitons:

Purchase Price: $450

Finance Charge: $82,50

Down Payment: $150

Number of Payments: 18

Total mortgage payment = $382.50 ($450 + 82.50 - 150)

Monthly payment = $21.25 ($382.50/18)

Thus, the monthly payment for this purchase with a price of $450, a finance charge of $82.50, a down payment of $150, and 18 monthly payments is c.) $21.25.

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With the aid of an illustration from a well labelled diagram, explain a cross over experimental design using a scenario with three treatment

Answers

A crossover design is a reiterated assessments design in which each experimental unit (patient) receives various treatments at different time periods, i.e., the patients switch from one therapy to another during the trial.

What is the advantage of a crossover design?

The crossover design has the benefit of each subject acting as his or her own control, and it requires a lesser number of patients than parallel-group trials.

There are various drawbacks. For example, crossover designs often last longer than parallel-group research.

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solve for the value of Y.
90=7y+8+8y+7

Answers

Answer:

y = 5

Step-by-step explanation:

1) Simplify 7y+8+8y+7 to 15y + 15.

90 = 15y + 15

2) Subtract 15 from both sides.

90 - 15 = 15y

3) Simplify 90 - 15 to 75.

75 = 15y

4) Divide both sides by 15.

75/15 = y

5) Simplify 75/15 to 5.

5 = y

6) Switch sides.

y = 5

The graph provided show the volume (in cubic inches) of air in a balloon as it chang
over time.
What is the volume of the balloon in cubic inches after 20 seconds?

Answers

The volume of the balloon is 500 cubic inches after 20 seconds

How to determine the volume?

From the given graph, we have:

Time on the x-axisVolume on the y-axis

Also from the graph, we have:

V(20) = 500

This means that:

The volume of the balloon is 500 cubic inches after 20 seconds

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what is the range of y=x+3^2

All real numbers

{3^2}

{1, 3, 9}

All real numbers except 9.

Answers

Answer:

All real numbers

Step-by-step explanation:

See attached graph.

edward nolan has room for 28 bedding 1.99

Answers

The minimum that Nolan would have to spend is $33.84  while the maximum he has to spend is $35.94

How to solve for the minimum amount

10 * 0.84 = 8.4

8 * 1.29 = 10.32

8 * 1.89 = 15.12

The minimum is  = 8.4 + 10.32 + 15.12

= 33.84 dollars.

How to solve for the maximum

10 * 1.89 = 18.9

8 * 1.29 = 10.32

8 * 0.84 = 6.72

The sum of the maximum is given as 18.9 + 10.32 + 6.72

= $35.94

Complete question

Edward Nolan has room for 26 bedding plants in his garden. He can get pansies for $1.89 each, marigolds for $1.29 each, and zinnias for $0.84 each. He plans to buy 10 of one type and 8 each of the other two types of plants. (a) What is the minimum (in $) Edward will have to spend? $ Incorrect: Your answer is incorrect. (b) What is the maximum (in $) Edward could spend? $ Incorrect: Your answer is incorrect.

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HELP!! EASY 50 POINTS!!
Select the correct answer. With which set of information can you construct a unique triangle? A. the measurements of all the angles B. the lengths of two sides C. the measurements of two angles D. the lengths of all the sides E. the measurement of one angle

Answers

It’s D the lengths of all the sides
soo i did’t hel put maid beaco psnso A

The two-way table represents data from a survey asking students whether they plan to attend college, travel, or both after high school.

A 4-column table with 3 rows. The first column has no label with entries travel, not travel, total. The second column is labeled college with entries 43, 24, 67. The third column is labeled not college with entries 10, 5, 15. The fourth column is labeled total with entries 53, 29, 82.

Which is the marginal relative frequency for students who plan to attend college? Round the answer to the nearest percent.

18%
22%
35%
82%

Answers

Using it's concept, it is found that the marginal relative frequency for students who plan to attend college is of 82%.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are a total of 82 students, 67 of which plan to attend college, hence the relative frequency is:

f = 67/82 = 0.82 = 82%.

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Answer:

82%

Step-by-step explanation:

The answer above is correct.

what is the degree of the polynomial below?

x⁵+1-3x⁴+3x⁹-2x

Answers

The degree of the polynomial, x⁵+1-3x⁴+3x⁹-2x, is: 9.

What is the Degree of a Polynomial?

The degree of a polynomial is determined by the monomial with the highest degree.

Given the polynomial, x⁵+1-3x⁴+3x⁹-2x, the monomial with the highest degree is 3x⁹.

Therefore, the degree of the polynomial given is: 9.

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(2x-1)²+8√2xy=4
4y-√8xy-1=1​

Answers

(x² + 2√xy) = 5/4

2y - √2xy = 0

How to factorize the expression

From the first equation

(2x-1)²+8√2xy=4

Expand the bracket

(2x-1) (2x+ 1) + 8√2xy = 4

4x² + 2x -2x - 1 + 8√2xy = 4

4x² - 1 + 8√2xy = 4

Collect like terms

4x² + 8√2xy = 4 + 1

4x² + 8√2xy = 5

Find the common factor

4(x² + 2√xy) = 5

(x² + 2√xy) = [tex]\frac{5}{4}[/tex]

For equation 2, we have

4y-√8xy-1=1​

4y - [tex]\sqrt{4 *2 xy }[/tex] = 1 -1

4y - [tex]2\sqrt{2xy}[/tex] = 0

Find the common factor

[tex]2(2y - 2\sqrt{2xy} ) = 0[/tex]

[tex]2y - 2\sqrt{2xy} = 0[/tex] × 2

[tex]2y - \sqrt{2xy} = 0[/tex]

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Which graph corresponds to the following inequality? -2x-3xy<6

Answers

you need to start from the beginning add 2 and 3

Step-by-step explanation:

The Nutty Professor sells cashews for $7.40 per pound and Brazil nuts for $4.80 per pound. How much of each type should be used to make a 28 pound mixture that sells for $6.19 per pound?

Answers

Answer:

cos4B =1-8sin^2(B)+8sin^4(B)

Step-by-step explanation:

cos4B =1-8sin^2(B)+8sin^4(B)

What is the product of the following equation??

Answers

Answer:

B

Step-by-step explanation:

1.(5x^3)(xy^4 -2x^3y)

2.5x^4y^4 -10x^6y

What is the range of the function graphed below?

Answers

Answer:

[tex]\boxed{-\infty < y\leq 2}[/tex]

Step-by-step explanation:

See the appendix.

The set of values ​​is the interval  [tex]y\in (-\infty , 2 >[/tex] .

[tex]y\in (-\infty , 2 > ~~\Leftrightarrow ~~\boxed{-\infty < y\leq 2}[/tex]

If arc mAD = 103°, and arc mBC = 115°, what is m∠BEC?

Answers

Applying the angles of intersecting chords theorem, m∠BEC = 109°.

What is the Angles of Intersecting Chords Theorem?

According to the angles of intersecting chords theorem, the measure of angle BEC equals half the sum of the measures of arcs AD and BC.

arc mAD = 103°

arc mBC = 115°

Therefore, we would have:

m∠BEC = 1/2(103 + 115)

m∠BEC = 109°

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Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v with arrow| = 160 km/s and the orbital period of each is 14.3 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 1030 kg.) 21. To which does the term "Teapot Dome" refer?a scandal involving bribery in the Veterans' Bureaua Coolidge-era scandal named after a bribery scheme in Idahoa Harding-era scandal named after an oil reserve in Wyomingthe name of Harding's federal budget-slashing program HelpNote that: The solution must be non zero Spam/Irrelevant answers will be reported The single-pole, single-throw switch is normally wired ? between the source and the load to turn devices on and off. i need to put this in my own words. It can be a extra burden for children who don'tSpeak english at home. When the price of softballs is high, a ________ in price will raise total revenue. When the price is low, the seller should ________ the price to increase total revenue. In one week, we sold 184 baskets at $3.25 each. The following week, we reduced the price of the basket to $2.How many baskets were sold then? 14. If m is a positive integer, then which of thefollowing is equivalent to 4m + 4m + 4m + 4m?(A) 4m+1(B) 4^4m(C) 4^4m + 1(D) 4m +4 Solve the system using substitution.y - 3x = 12y - X = 12([?], [ ?]) Martha has a widow's peak (dominant trait) and attached earlobes (recessive trait). Martha's dad had a straight hairline and unattached earlobes. If Martha marries a man that is heterozygous for both traits, what is the probability that they will have a child with a widow's peak and attached earlobes Someone please help! The sum of angles in a triangle is 180 prove Match The Animals With Their Characteristics. What is likely to occur during a period of inflation? (Standard 5.7)O More than one of the above will occurO People are likely to save money since prices are increasingO I have no idea what the answer is.O People are likely to spend their paychecks instead of placing their money in asavings accountO People will not purchase land or valuable metals What happens if my mission statement changes in the future? NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2: Suppose a sample of 585 people is drawn. Of these people, 274 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Write the prime factorization of 27. Use exponents when appropriate and order the factors from least to greatest We have found that:(X,)=(3,-1) m = 3Substituting these values in (y - y) = m(x-x1), we'll get the equation of the line as: What is themost likelyreason ChiangKai-shek was able to rule as a dictator? How were War Bonds used during World War II?A. Increased income tax rates and the tax rollsB. Used to finance the war and remove from circulationC. Changing prices as necessary to keep American businesses aliveD. Preventing inflation by freezing prices on necessary goods