1 pt
A scatterplot of x = Super Bowl and y = cost of a 30-second advertisement on the Super Bowl broadcast (in dollars) shows a strong, positive, nonlinear association. A scatterplot of ln(cost) versus Super Bowl number is roughly linear. The least squares regression line for this association is predicted ln(cost)=10.97+0.0971(Super Bowl number). Predict the cost of a 30-second advertisement for Super Bowl 40.

$3

$15

$58,153

$83,132

$2,824,947

The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

The value of the line integral is 303/20, or approximately 15.15.

We need to evaluate the line integral Jxy dx + (x + y)dy along the curve y=x^2 from (-1,1) to (2,4).

Parametrizing the curve as x=t and y=t^2, we get the following limits of integration:

t ranges from -1 to 2.

Substituting x=t and y=t^2 in the given expression, we get:

Jxy dx + (x + y)dy = t(t^2) dt + (t + t^2) 2t dt = (t^3 + 2t^3 + 2t^4) dt = (3t^3 + 2t^4) dt

Integrating this expression with respect to t from -1 to 2, we get:

∫(-1)²^(4) (3t³ + 2t⁴) dt = [3/4 * t^4 + 2/5 * t^5] between -1 and 2

= (3/4 * 2^4 + 2/5 * 2^5) - (3/4 * (-1)^4 + 2/5 * (-1)^5)

= (3/4 * 16 + 2/5 * 32) - (3/4 * 1 + 2/5 * (-1))

= 12 + 51/20 = 252/20 + 51/20 = 303/20

The value of the line integral is 303/20, or approximately 15.15.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

6

Step-by-step explanation:

there can be 6 outfits made with 2 extra pants and 6 extra shirts

Answer:

3. 76 Balls and 27 Bats

4. you try this

5. you try this

Step-by-step explanation:

Each problem follows the same approach to solve.

Setup 2 equations, one showing the total number and the other showing the total costs.

I'll work out problem 3 and you should be able to do the other two

L=the number of balls

T=the number of bats

equation 1:

L+T=100

equation 2:

L(4.50) + T(20.00) = 822

solve for T in equation 1:

T= 100-L

now substitute T in equation 2:

L(4.5) + 20(100-L) = 822.0

solve for L:

L= -1178/-15.5=76

T=100-76=24

I'll let you know if problems 4 and 5 are correct

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

A =113.04 cm^2

Step-by-step explanation:

To find the area of a circle, we use the formula:

A = pi r^2

A = (3.14) ( 6)^2

A = 3.14 * 36

A =113.04 cm^2

Answer:

Step-by-step explanation:

Let the base function be

It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:

It has zero's at (2, 0) and (4, 0)

Substitute and solve for a:

or

So the function is:

See the attached

Answer:

f(x) = 3x2 – 18x + 24

Step-by-step explanation:

just took the test

Answer:

x = 4

Step-by-step explanation:

perpendicular lines have opposite and reciprocal slopes

the line y = 2 is a horizontal line, which means the slope is zero

also, y = 2 intersects the y-axis at 2

a line perpendicular to a horizontal line is a vertical line and, if it passes through the point (4,5) will intersect the x-axis at 4

therefore, the equation would be x = 4

The area of the circle with a Diameter of 36 inches,  π = 3.14, is 1017.36 square inches.

The surface area of one mini muffin and multiply it by 6. The surface area of a cylindrical mini muffin can be calculated as 28 and 2/7 square inches. Multiplying by 6, we get a total of 169 and 1/7 square inches. Approximating the answer, we get 169 and 1/7 169.14 square inches.  the correct answer is 169 and 1/7 square inches.      

The area of the enlarged map, we need to scale up the dimensions of the state of Colorado by the scale factor of 2.5.

The length of the enlarged map would be 4 cm * 2.5 = 10 cm.

The width of the enlarged map would be 3 cm * 2.5 = 7.5 cm.

Area = length * width

Area = 10 cm * 7.5 cm

Area = 75 cm²

Therefore, the area of the enlarged map is 75 cm².

The area of a circle can be calculated using the formula:

Area = π * (radius)^2

the diameter of the circle is 36 inches, we can find the radius by dividing the diameter by 2:

Radius = 36 inches / 2 = 18 inches

Now, we can calculate the area using π = 3.14:

Area = 3.14 * (18 inches)^2

    = 3.14 * 324 square inches

    = 1017.36 square inches

the area of the circle with a diameter of 36 inches, using π = 3.14, is 1017.36 square inches.

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The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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c)  It will have less variation.

Decreasing the sample size will generally result in more variation in the distribution of sample means. This is because with a smaller sample size, there is less information available to estimate the population mean, which means that the sample mean will be less precise and will vary more from one sample to the next.

For example, if you take a sample of 10 individuals from a population and calculate the mean of their heights, the sample mean will likely be a good estimate of the population mean height. However, if you take a sample of just 2 individuals and calculate the mean of their heights, the sample mean will be less precise and will be a less reliable estimate of the population mean height. This is because the sample of 2 individuals may not be representative of the overall population, and the sample mean will be more influenced by extreme values or outliers.

In general, as the sample size decreases, the distribution of sample means will become more spread out and will have more variation. This is because with a smaller sample size, there is more uncertainty about the population mean, and the sample means will be more likely to deviate from the true population mean.

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The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

In the given situation the wind on a random day in Bryan  is normally distributed with the following values;

Standard Deviation = ( δ ) = 5.1 mph

A random day of 16 is taken into account for the consideration of Bryan's average value of 19mph.

n = 16

By taking the confidence level of T - Factor, we get the;

At a 98% confidence level, the t is,

tα /2,df = t₀.₀₄,₂₄ = 2.492                ( df = hours in a day)

Margin of error = E = tα/2,df * (δ /√n)

                              = 2.492 * (5.1 / √16)

                              = 3.177

The 98% confidence interval estimate of the population mean is,

x - E < μ < x + E

19 - 3.177 < μ < 19 + 3.177

15.823 < μ < 22.177

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

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The Maximum number of hours available for unskilled labour

= 400 hours

Maximum number of hours available for skilled labour be, = 320 hours

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

The company employs 10 unskilled workers and each worker provides 40 hours of labour per week.

The company also employs 8 skilled workers and each worker provides 40 hours of labour per week.

Maximum number of hours available for unskilled labour be,

= 40  × 10

= 400 hours

Maximum number of hours available for skilled labour be,

= 40 × 8

= 320 hours

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Answer:

4

Step-by-step explanation:

3= a -1

+1 = a. you pass the negative 1 to the other side.

and it turns to a + 1 and then you add it which

gives you 4

4= a

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Number line that number of workers in San diego is  260, 290, 320, 350, 380, 410, 440, 470, 500. The correct answer is 260

To find the number of workers in San Diego, we need to subtract the number of workers in New York (90) and Denver (130) from the total number of workers (480). Subtracting 90 and 130 from 480, we get 260. This means that 260 workers are in San Diego.

The number line represents the possible number of workers in San Diego. Since there are only three cities, the number of workers in San Diego must be positive (as there are workers in that city). Therefore, we can eliminate numbers less than 0. Additionally, the number of workers in San Diego cannot exceed the total number of workers (480). Thus, we can eliminate numbers greater than 480.

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The probability that a voltage surge will not damage the television when two surge protectors are arranged in series is 0.99 × 0.99 = 0.9801.

When two surge protectors are arranged in series, the probability that a voltage surge will not damage the television is the product of the probabilities that each individual surge protector will not fail. In this case, the probability that a surge protector will not fail is 0.99 (or 99%). Therefore, the probability that a voltage surge will not damage the television is 0.99 × 0.99 = 0.9801. This means that there is a 98.01% chance that the television will not be damaged by a voltage surge when two surge protectors are arranged in series.

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Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

While statistics are extremely valuable, they are also notorious for being a means that people use to make false and misleading arguments. Also far too often statistics are obtained by taking a sample from a larger group and assuming the whole group has the same characteristics as the sample.

A sample provides a smaller set of the population for review, that delivers data that is useful to represent the whole population. Surveying a smaller sample, as opposed to the entire population, can save precious time for researchers and offer urgent data.

Step-by-step explanation:

Hope it is helpful.....

Answer:

B

Step-by-step explanation:

Integers cannot contain any decimals. Since 4/3 equals 1.33333, it is not an integer. The other fractions like 12/4 can be simplified to 3 which is an integer.

Answer:

there's no picture dude

The main advantage of using a graphic calculator is that it speeds up the process of solving more difficult arithmetic problems for students.

A graphing calculator, often known as a graphics calculator or graphic display calculator, is a portable computer that can plot graphs, solve many equations at once, and carry out other variable-related activities. The most common graphing calculators are programmable calculators, which let the user design unique programs, generally for scientific, technical, or educational purposes. They feature big screens that show computations and several lines of text.

Numerous graphing calculators may be connected to sensors such as accelerometers, electronic thermometers, pH meters, weather stations, decibels, light meters, and other devices to operate as data recorders and as monitoring, polling, and communication tools with teachers. The use of such data in student laboratory tasks improves their understanding of math, particularly statistics and mechanics. 

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The Value of the horizontal asymptote is 0

What is horizontal asymptote?

The horizontal asymptote of a function y = f(x) is a line y = k and to calculate the horizontal asymptote please substitute \(x=\)±∞. We can also find the vertical asymptote.

now we are given a function

\(f(x)=2(3)^{-x}\)

Now substitute x=±∞ in the equation, as the x in denominator we get

f(x)= 0

This is the value of the horizontal asymptote

Hence the value of horizontal asymptote comes out to be 0

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The perimeter of the parallelogram with these vertices. (3, 6), (-5, 6), (6, -1), (-2, -1)  is 37.64

Let

A = (3, 6) B = (-5, 6) C = (6, -1) D = (-2, -1)

The distance between two points (x₁, y₁) and (x₂, y₂) is

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Length of AB

AB = √((-5 - 3)² + (6 - 6)²)

AB = √((-8)² + 0²)

AB = √(64 + 0) = √64

AB = 8

Length of BC

BC = √((6 - (-5))² + (-1 - 6)²)

BC = √((6 + 5)² + (-7)²)

BC = √(11² + 49) = √(121 + 49)

BC = √170

Length of CD

CD = √((-2 - 6)² + (-1 - (-1))²)

CD = √((-8)² + 0²)

CD = √(64 + 0) = √64

CD = 8

Length of DA

DA = √((3 - (-2))² + (6 - (-1))²)

DA = √((3 + 2)² + (7)²)

DA = √(5² + 49)

DA = √(25 + 49)

DA = √74

Perimeter = AB + BC + CD + DA

Perimeter = 8 + √170 + 8 + √74

Perimeter = 16 + √170 + √74

Perimeter = 37.64

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The particular solution for the given differential equation is y(x) = 2e^{-x} + e^{-3x}.

To find the particular solution, we first need to solve the homogeneous equation:

y'' + 4y' + 3y = 0

The characteristic equation associated with this homogeneous equation is:

r^2 + 4r + 3 = 0

Solving this quadratic equation, we find the roots:

(r + 3)(r + 1) = 0

r = -3 or r = -1

This gives us the homogeneous solution:

y_h(x) = C1e^{-3x} + C2e^{-x}

To find the particular solution, we use the initial conditions y(0) = 2 and y'(0) = 1. Let's substitute these values into the equation:

y(0) = 2e^{-0} + e^{-3(0)} = 2 + 1 = 3

y'(0) = -2C1 - C2 = 1

Now we solve these equations simultaneously:

-2C1 - C2 = 1 ---(1)

2 + C1 + C2 = 3 ---(2)

From equation (2), we have:

C1 + C2 = 1

Substituting this into equation (1), we get:

-2(1 - C2) - C2 = 1

-2 + 2C2 - C2 = 1

C2 = 3

Substituting C2 = 3 into equation (2), we find:

C1 + 3 = 1

C1 = -2

Therefore, the particular solution for the given differential equation is:

y(x) = -2e^{-3x} + 3e^{-x}

The particular solution for the given differential equation is y(x) = 2e^{-x} + e^{-3x}.

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Answer:

1 over 7

Step-by-step explanation:

To find the probability that the first pencil is red and the second pencil is blue, we need to consider the number of ways in which this outcome can occur compared to the total number of possible outcomes.

There are 7 red pencils in the bag, and Julia picks one of them on the first draw, so there is a 1 in 7 chance of her picking a red pencil. There are 4 blue pencils in the bag, and Julia picks one of them on the second draw, so there is a 1 in 4 chance of her picking a blue pencil.

Since the probability of each event is independent of the other, we can multiply the probability of each event to find the probability of both events occurring.

Therefore, the probability that the first pencil is red and the second pencil is blue is:

(1 in 7) * (1 in 4) = 1/7 * 1/4 = 1/28

The probability that the first pencil is red and the second pencil is blue is 1/28, which is equivalent to choice A: 1 over 7. The other choices are not equivalent to this probability.

Answer:

1/7

Step-by-step explanation:

If there are 14 pencils and 7 are red then the equation would be 14-7 which is 7.