help me plzzzz!!!!!!!!.!!.!?!.!.!....​

Answer:

a)  $92.75

b)  $371

Step-by-step explanation:

Let x = number of lines in the ad

Let x = total charge per week to run the ad

Given:

Create equations based on the given information:

y = 35   for x < 4

y = 35 + 5.25(x - 4)  for x ≥ 4

Part (a)

Given:

⇒ y = 35 + 5.25(15 - 4)

      = 35 + 5.25(11)

      = 35 + 57.75

      = 92.75

So the ad will cost $92.75 to run for 1 week.

Part (b)

Cost to run the ad for 4 weeks = 4 × cost of 1 week

                                                    = 4 × 92.75

                                                   = $371

There are a few different ways to approach this question, but one possible explanation is based on the fact that the sine function is periodic, meaning it repeats itself over certain intervals.

The sine function has a period of 2π, which means that sin(x + 2π) = sin(x) for any value of x.Now, let's consider the interval [-2, 2] and imagine that we want to evaluate sin(x) for some value of x outside of this interval. Without loss of generality, suppose that x &gt; 2 (similar arguments can be made for x &lt; -2). Then, we can write x as x = 2πn + y, where n is some integer and y is a number in the interval [0, 2π) that represents the "extra" amount beyond the interval of [-2, 2]. (Note that this decomposition is possible because the period of the sine function is 2π.)

Now, we can use the fact that sin(x + 2π) = sin(x) to rewrite sin(x) as sin(2πn + y) = sin(y). Since y is in the interval [0, 2π), we can evaluate sin(y) using any method that works for that interval (e.g., a lookup table, a series expansion, a graph, etc.). In other words, we can always "wrap" any value of x outside of [-2, 2] into the interval [0, 2π) using the periodicity of the sine function, and then evaluate sin(x) for that "wrapped" value.

Now, why did we choose the interval [-2, 2] in particular? One reason is that this interval is convenient for many practical purposes, such as approximating the sine function using polynomial or rational functions (e.g., Taylor series, Chebyshev polynomials, Padé approximants, etc.). These approximations often work best near the origin (i.e., when x is close to 0), and the interval [-2, 2] contains the origin while still being small enough to be computationally tractable.

Another reason is that many real-world applications that involve trigonometric functions (e.g., physics, engineering, statistics, etc.) often involve angles that are small enough to be within the interval [-2, 2] (e.g., angles in degrees or radians that are less than or equal to 180 degrees or π radians). In these cases, evaluating sin(x) within the interval [-2, 2] is often sufficient for practical purposes.

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Option D. 1 + 1/s is the correct choice for a PI controller that has the minimum impact on the root loci of the system.

To minimize the impact of a proportional plus integral (PI) controller on the root loci of a system, the controller should introduce a pole at the origin (s=0) and a zero at a distant location from the origin.

Among the given options, the controller that fits this purpose is D. 1 + 1/s.

The PI controller in option D has a constant term of 1, which introduces a pole at the origin (s=0). It also has a term of 1/s, which introduces a zero at s=infinity, which is a distant location from the origin.

By having a pole at the origin and a zero at a distant location, the PI controller in option D minimizes the impact on the root loci of the system. This configuration ensures stability and avoids significant changes in the system's dynamic behavior.

Therefore, option D. 1 + 1/s is the correct choice for a PI controller that has the minimum impact on the root loci of the system.

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Part a

\(|5x-3|=12\\\\5x-3=\pm 12\\\\5x=3 \pm 12\\ \\ 5x=-9, 15\\\\x=-\frac{9}{5}, 3\)

Part b

\(|x+8|=2\\\\x+8=\pm 2\\\\x=-8 \pm 2\\\\x=-10, -6\)

Part c

The equation has no solutions because the absolute value function provides non-negative outputs.

Answer:

Density = 4779 grams per liter

Step-by-step explanation:

here we need to convert

pounds to gram

pint to liter

1 pound = 454 grams

1 pint = 0.57 liters

given

density = 6 pounds per pint

now using grams in place of pound and

liter in place of pint we have

density = 6 pounds per pint = 6*454 grams /0.57 liters

density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters

Density when rounded to nearest whole number is 4779 grams / liters

Answer:

The equation for the variation is:

\(\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}\)

Step-by-step explanation:

The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

\(\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}\)

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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If a limited edition pair of autographed sneakers are worth $2400. The explicit and recursive formulas can be used to model the situation is: B. y y= $2400 * 1.08^x

Let Vn be the value of the sneakers after n years, where V0 = $2400.

To find the explicit formula, we can use the formula for compound interest:

Vn = V0 * (1 + r)^n

where r is the annual interest rate as a decimal, which is 8% = 0.08 in this case.

Substituting the values, we get:

Vn = $2400 * (1 + 0.08)^n

Vn = $2400 * 1.08^n

So, the explicit formula for the value of the sneakers after n years is:

Vn = $2400 * 1.08^n

To find the recursive formula, we can use the fact that the value of the sneakers in any given year is equal to the value of the sneakers in the previous year multiplied by (1 + r).

So, we can write:

Vn = Vn-1 * (1 + r)

Substituting the values, we get:

Vn = Vn-1 * (1 + 0.08)

Vn = Vn-1 * 1.08

So, the recursive formula for the value of the sneakers after n years is:

Vn = 1.08 * Vn-1

where V0 = $2400.

Therefore the correct option is B.

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Answer:

Answer 1 : 25/4

Answer 2 : 1/19

Step-by-step explanation:

Question 1:

x + 3x = 25

4x = 25

x = 25/4

Question 2:

2x+36x=2

38x = 2

x = 2/38

x = 1/19

The formula for a circle's sector's area is /360o (r2), where r is the circle's radius and is the sector's angle.

Formula for a Sector's Circumference

The following is the formula for a circle's sector's perimeter:

Sector perimeter equals radius plus radius plus arc length.

Sector perimeter equals 2 radius plus arc length.

The relation is used to compute arc length:

Arc length is equal to l = (/360) 2r.

Therefore,

Sector perimeter: 2 Radius + ((/360) 2r)

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Assuming that r is the circle's radius and that is the sector's angle, the formula for the area of a circle's sector is /360o (r2).

A circular sector (also known as a circle sector or a disc sector; symbol: ) is the area of a disc (a closed region bordered by a circle) enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger as the major sector.

The radius of the circle, r, and the sector angle (in degrees) that the arcs at its centre subtend are also given. A = 1/2 r2 gives the area if the subtended angle is provided in radians.

The area, A, of just the segment may be calculated using the following formula if you know the circle's radius, r, and the sector's central angle,, in degrees.

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The volume of blood that passes through the cross-section per unit time is approximately 0.1532 cm^3/s.

Poiseuille's Law describes the flow of fluid through a cylindrical tube. It can be used to calculate the volume of blood that passes through a cross-section per unit time. The formula for Poiseuille's Law is as follows:

Q = (π * ΔP * r^4) / (8 * η * L)

Where:

Q is the volume flow rate,

ΔP is the pressure difference across the tube,

r is the radius of the tube,

η is the viscosity of the fluid, and

L is the length of the tube.

Given information:

Viscosity (η) = 0.0010

Radius (r) = 0.030 cm

Length (L) = 3 cm

Pressure difference (ΔP) = 1000 dynes/square cm

First, we need to convert the radius and length to meters, as the SI unit system is typically used in scientific calculations:

Radius (r) = 0.030 cm = 0.030 * 0.01 m = 0.0003 m

Length (L) = 3 cm = 3 * 0.01 m = 0.03 m

Now, we can calculate the volume flow rate (Q) using Poiseuille's Law:

Q = (π * ΔP * r^4) / (8 * η * L)

= (π * 1000 * (0.0003)^4) / (8 * 0.0010 * 0.03)

= (3.1416 * 1000 * 0.000000000027) / (0.024)

= 0.0036756 / 0.024

≈ 0.1532 cm^3/s

Therefore, the volume of blood that passes through the cross-section per unit time is approximately 0.1532 cm^3/s.

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Answer:

The weight in kilograms of a 150 pound person is 68.039 kg

Step-by-step explanation:

Weight = 150 pounds.

We need to convert this to kg,

Now, 1 pound = 0.453592 kg.

Then, 150 pounds will be,

150 pounds = 150(0.453592) kg

So, 150 pounds = 68.039 kg

The weight of a 150 pound person is approximately 68.04 kilograms.

To convert the weight of a person from pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms.

Given that the person weighs 150 pounds, we can multiply this value by the conversion factor to find the weight in kilograms:

Weight in kilograms = 150 pounds * 0.4536 kilograms/pound

Weight in kilograms = 68.04 kilograms

Therefore, the weight of a 150 pound person is approximately 68.04 kilograms.

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Answer:

Cost after 9 months = $420

Cost for 0 months = $60

Step-by-step explanation:

Given that:

Cost of new cell phone = $60

Cost for unlimited calls per month = $40

Function to represent the total cost per month:

\(y = 40x+60\) ..... (1)

where y is the total cost and

x is the number of months.

To find:

Total cost after 9 months and 0 months.

Solution:

Let us put the value \(x = 9\) in the above equation (1)

\(y = 40 \times 9 +60\\\Rightarrow y = 360 +60\\\Rightarrow y = \$420\)

Hence, cost after 9 months = $420.

Cost after 0 months i.e. put the value \(x = 0\) in the above equation (1)

\(y = 40 \times 0 +60\\\Rightarrow y = 0+60\\\Rightarrow y = \$60\)

i.e. only cell phone is bought no cost for call is given.

Cost for 0 months is equal to the cost of cell phone.

So, the answers are:

Cost after 9 months = $420

Cost for 0 months = $60

The value of Ra that makes the configuration valid is approximately 38.4.

To calculate the value of ra in order to have a valid configuration, we can use the voltage divider formula. The voltage divider formula is given by:

Vout = (Ra / (Ra + Rb)) * Vin

In this case, Ra is the unknown value we need to find, Rb is the sum of r2 and r3, and Vin is vs. We are given the following values:

R1 = 16
r2 = 2.8
r3 = 2
vs = 72
Vout = 64

First, let's find Rb:

Rb = r2 + r3 = 2.8 + 2 = 4.8

Now, we can rearrange the voltage divider formula to solve for Ra:

Ra = (Vout / Vin) * (Ra + Rb)

Substituting the given values:

Ra = (64 / 72) * (Ra + 4.8)

Simplifying the equation:

Ra = (8 / 9) * (Ra + 4.8)

Multiplying both sides by 9 to eliminate the fraction:

9 * Ra = 8 * (Ra + 4.8)

9Ra = 8Ra + 38.4

Subtracting 8Ra from both sides:

Ra = 38.4

Therefore, the value of Ra that makes the configuration valid is approximately 38.4.

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The algebraic expression for 10 more than a number is x + 10 or 10 + x.

The x in the expression is called a variable, which can be represented by any letter in the alphabet.

An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change.

Some basic mathematical operators are +, -, x and /.

The given phrase states that a result can be obtained by adding 10 more to the variable.

The variable x can be replaced by any number.

If x equals 2, then the expression x + 10 has a value of 12.

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Answer:

4/8 or 1/2

Step-by-step explanation:

Divide among 8 because its eight children

The answer to the given binary operation is 10012. The binary operation of adding 1112 and 102 will be solved by converting the binary numbers to base 10, performing the addition in base 10, and then converting the result back to base 2.

Converting the binary numbers to base 10, we have 1112 = 7 and 102 = 2. Adding 7 and 2 in base 10 gives us 9. To convert the result back to base 2, we divide 9 by 2 repeatedly until the quotient becomes 0. The remainder in each division gives us the binary digits of the answer. In this case, 9 divided by 2 is 4 with a remainder of 1, and 4 divided by 2 is 2 with a remainder of 0. Therefore, the binary representation of 9 is 1001. Hence, the answer to the given binary operation is 10012.

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Answer:

t=4 hope this helps you out

Answer:T=4

Step-by-step explanation:

Answer:

8 CDs for $14.50

Step-by-step explanation:

We have to divide both of the numbers by the number of CDs. Our formula is:

(price) ÷ (number of CDs) = price per CD

When we divide both of the prices by the number of CDs, we see that 6 CDs for 12.00 is worse because it is 2.00, whereas the inflation is lower when you compare to the other rate. You get $1.81.

side*otherside*height

4*2*1=

8 inches^3

Answer:

252

Step-by-step explanation:

He earns 2522 for 18 hours of work.

If there is a zero on the top of the fraction when calculating the slope, then the line is horizontal.

If the numerator (y2 - y1) is zero, it means that the y-coordinates of the two points on the line are the same. This indicates that the line is horizontal, because no matter how far apart the two points are horizontally (i.e., the difference between their x-coordinates), the vertical distance (y2 - y1) between them is zero.

In this case, the denominator (x2 - x1) will be non-zero, because the two points will have different x-coordinates, but since the numerator is zero, the overall fraction will be zero.

So, a zero on the top of the fraction indicates that the line has zero or undefined slope, which happens only for a horizontal or vertical line, respectively. Therefore, if there is a zero on the top of the fraction when calculating the slope, then the line is horizontal.

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The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

Answer:

\(P(x)=x^2+x-6\)

Step-by-step explanation:

Quadratic Polynomial

Assume we have a polynomial factored as:

P(x)=a(x-m)(x-n)

Where m and n are the zeros of P(x).

Operating:

\(P(x)=a(x^2-(m+n)x+mn)\)

Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.

If we are given the zeros m=-3 and n=2, then:

\(P(x)=a(x^2-(-3+2)x+(-3)(2))\)

\(P(x)=a(x^2+x-6)\)

We can choose any value for a, for example, a=2:

\(P(x)=2x^2+2x-12\)

For a=1:

\(P(x)=x^2+x-6\)

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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The probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.

To find the probability that the car will get 75 miles per gallon or better, we need to calculate the area under the normal distribution curve to the right of the value 75.

Given information:

Mean (μ) = 75 miles per gallon

Standard deviation (σ) = 10 miles per gallon

To calculate this probability, we can use the standard normal distribution table or standardize the value and use the standard normal distribution.

Standardize the value:

To standardize the value 75, we use the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Standardized value:

Z = (75 - 75) / 10

Z = 0

Calculate the probability:

Now, we need to find the probability corresponding to the standardized value of 0. We can use the standard normal distribution table to find this probability.

From the standard normal distribution table, the area to the right of the standardized value 0 is 0.5000. Since we want the probability to the right of 0 (or greater than 0), we subtract this value from 1.

Probability = 1 - 0.5000

Probability = 0.5000

Therefore, the probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.

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The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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Answer

# of pennies :7

#of nickels :6

#of quarters:20

Step-by-step explanation:

Answer: D

Step-by-step explanation: Add it all up

Answer:

28

Step-by-step explanation:

7 x 4 = 28

:)