for each of the number line write an absolute value equation in the form absalute value of x-c = d
x=-1/2, x=1/2

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

The value of the given integral, ∬_R arctan(y/x) dA, when changing to polar coordinates, is π/8.

To evaluate the given integral using polar coordinates, we need to express the region R in terms of polar coordinates. The region R is defined by the inequalities 1 ≤ \(x^{2}\) + \(y^{2}\) ≤ 4 and 0 ≤ y ≤ x.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r is the distance from the origin and θ is the angle.

Converting the inequalities for R into polar form, we have 1 ≤ \(r^{2}\) ≤ 4 and 0 ≤ rsin(θ) ≤ rcos(θ). Simplifying the second inequality, we get 0 ≤ sin(θ) ≤ cos(θ), which corresponds to the region where the angle θ satisfies 0 ≤ θ ≤ π/4.

The integral becomes ∬_R arctan(y/x) dA = ∫∫_R arctan(rsin(θ)/rcos(θ)) r dr dθ.

Simplifying further, the integral becomes ∫∫_R arctan(tan(θ)) r dr dθ = ∫∫_R θ r dr dθ.

learn more about polar coordinates here:

https://brainly.com/question/31904915

#SPJ11

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

For more such questions on feasible region

https://brainly.com/question/29084868

#SPJ8

The magnitude of the x-component of this vector is 9.05m.

The angle of inclination of the vector is calculated as;

θ = 90 ⁰ - 48.4 ⁰

θ = 41.6 ⁰

The magnitude of the x-component of the vector is calculated as;

Vx = 12.1 m x cos ( 41.6 )

Vx = 9.05 m

A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.

Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.

To learn more about Vector visit here:

brainly.com/question/29740341

#SPJ4

Complete Question:-

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

<95141404393>

Answer: no solution

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

equation 1 : \(\sf x - 3y - 3 = 0\)

equation 2 : \(\sf 3x - 9y - 2 = 0\)

make x the subject in equation 1,

\(\sf x = 3+3y\)

insert this in equation 2,

\(\rightarrow \sf 3(3+3y) - 9y - 2 = 0\)

\(\rightarrow \sf 9+9y- 9y - 2 = 0\)

\(\rightarrow \sf 7 = 0\)

Thus no solution for x and y in this solution.

Rolling a pair of dice, the theoretical probability of rolling each sum can be determined by dividing the number of possible outcomes for each sum by the total number of possible outcomes (36).  

Empirical probability, which is based on actual results from an experiment, can differ from theoretical probability, which is the expected probability based on mathematical calculations. In the case of rolling a pair of dice, the theoretical probability of rolling each sum can be determined by dividing the number of possible outcomes for each sum by the total number of possible outcomes (36). For example, the theoretical probability of rolling a sum of 7 is 6/36 or 1/6.

However, the empirical probability of rolling each sum may differ from the theoretical probability due to the random nature of the experiment. In other words, the actual results may not perfectly match the expected results due to chance variations. Additionally, factors such as the condition of the dice and the manner in which they are rolled can also affect the outcomes.

To compare the empirical and theoretical probabilities of rolling a pair of dice, we can calculate the range, mean, median, and mode of the results from the experiment. The range is the difference between the highest and lowest values observed, the mean is the average of all the results, the median is the middle value in the set, and the mode is the most frequently observed value.

Overall, the empirical probabilities may vary from the theoretical probabilities due to chance variations and other factors, but by analyzing the central tendency of the results, we can gain a better understanding of the overall outcomes of the experiment.

Learn more about probability brainly.com/question/30034780

#SPJ11

Answer:

4x-3

Step-by-step explanation:

Bc i said so

z does not necessarily lie between x and y on the number line.

In order to determine if z lies between x and y on the number line, we need to compare the distances between these points.

Statement 1: xyz < 0

This statement does not provide any direct information about the relative positions of x, y, and z on the number line. It only indicates that the product of x, y, and z is negative. However, this does not give us any information about the specific values or their positions on the number line.

Statement 2: xy < 0

This statement tells us that the product of x and y is negative. This means that x and y have opposite signs, indicating that they lie on opposite sides of zero on the number line. However, this statement still does not give us any information about the position of z relative to x and y.

Therefore, neither statement alone is sufficient to determine whether z lies between x and y on the number line.

Learn more about: number line

brainly.com/question/32029748

#SPJ11

Answer:

4k+5a_3=10_2k

4k+2k+5a=10+3

6k+5a=13

Number of phone calls the first evening: 17

Number of phone calls the second evening: 88

Number of phone calls on the third evening:​ 22

Given that Lena received a total of 127 phone calls at the call center.

On the third evening, she received 5 more calls than the first evening.

On the second evening, she received 4 times as many calls as on the third evening.

We have to calculate, How many phone calls did she receive each evening?

Let's say on the first day she received x calls

then the number of calls received on the third day = x + 5

number of calls received on second day = 4(x + 5)

Now, x + x + 5 + 4(x + 5) = 127 ( given )

6x + 25 = 127

6x = 102

x = 17

So the number of calls received on the first day = is 17

number of calls received on the second day = 88

number of calls received on the third day = 22

To know more about linear equation follow the given link:

https://brainly.com/question/28307569

The computed probability is computed as <0.8967, 0.1033> which shows that as the days 90 by, the probability of rain on the current day increases monotonically towards a fixed point.

Chance is the branch of arithmetic concerning numerical descriptions of how probable an event is to occur, or how probable it is that a proposition is proper. The chance of an event is a range between zero and 1, wherein, roughly speaking, 0 indicates the impossibility of the occasion and 1 shows actuality. The higher the chance of an occasion, the much more likely it's miles that the event will occur. A simple example is the tossing of a truthful (impartial) coin. because the coin is truthful, the two outcomes ("heads" and "tails") are both similarly possible; the chance of "heads" equals the possibility of "tails"; and on account that no different effects are feasible, the possibility of either "heads" or "tails" is half off (that could additionally be written as zero.5 or 50%).

these standards had been given an axiomatic mathematical formalization in chance ideas, that are used extensively in areas of observation which include records, arithmetic, technology, finance, gambling, artificial intelligence, gadget studying, computer science, sport idea, and philosophy, for example, draw inferences about the expected frequency of events. possibility concept is likewise used to describe the underlying mechanics and regularities of complex structures.

To learn more about probability visit here:

brainly.com/question/11234923  

#SPJ4

A closed circuit is required to carry current. If there is a break anywhere in the path, the circuit will open and no current will flow, and the metal atoms in the wire will quickly become peaceful and electrically neutral.

Current flows in a closed circuit, but electrons are left behind in an open circuit.

Imagine a gallon of water flowing through an open pipe. Water flows for a short time, but stops when all the water comes out of the pipe. If you pump water into a closed system of pipes, it will continue to flow as long as you force it to move.

Closed circuit design:

breaks are often created by design. For example, a simple light switch opens or closes the circuit that connects the light to the power source. When building a circuit, it is recommended that the battery or other power source be disconnected when the circuit is not in use. Technically, this creates an open circuit. The

extinguished flashlight is an open circuit. In the flashlight shown here, the flat black button on the bottom left controls the internal switch. A switch is nothing more than two flexible metal strips in close proximity to each other. Push the black button all the way to the right to open the switch and turn off the flashlight. The switch in the open position disconnects the bulb from the battery, creating an open circuit.So, for the light bulb in a circuit turn on when the switch is closed.

To learn more about Closed circuit and open circuit, refer:

https://brainly.com/question/2969220

#SPJ4

y - 4 = -4(x+2)

The equation of a line in point-slope form is given as shown below;

where;

m is the slope

(x1, y1) is any point on the line

Given the following parameters

(x1, y1) = (-2, 4)

Determine the slope of the line using the coordinates (0, -4) and (-2, 4)

Substitute the slope and the point into the formula above to have:

This gives the required equation in point-slope form

The equivalent value of the function is x is -3 is -45

Functions are written in terms of variables

Given the function shown

f(x)=-x^2+6x-18

In order to determine f(-3), we will substitute x = -3 into the function to have:

f(-3)=-(-3)^2+6(-3)-18

f(-3) = -9 - 18 - 18

f(-3) = -45

Hence the equivalent value of the function is x is -3 is -45

learn more on functions here; https://brainly.com/question/4025726

#SPJ1

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

Read more about mixed numbers at:

https://brainly.com/question/1746829

#SPJ1

Answer:

the final amount is 1,135

Step-by-step explanation:

The computation of the final amount is shown below:

= Amount × (1 + increased percentage)

= 1102 × (1 + 0.02)

= 1102 × 1.02

= 1124.04

Now the additional one percent increase is

= 1,124.04 × 1.01

= 1,135

Hence, the final amount is 1,135

The same is to be considered

Answer:

Mean:15 Median:15 Mode:15

Step-by-step explanation:

Mean: 14+14+15+15+16+15+15+16= 120

120/8=15

Median: 14,14,15,15,15,15,16,16

Median is sorted from least to greatest and then it is the number that is in the middle

Mode is 15 because 15 appears the most often

Answer:

1020

Step-by-step explanation:

well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023

then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020

that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.

Answer:r=-2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(9r6\)

The derivative of ax is nax n−1 .

\(9r 61−1​\)

Subtract 1 from 1.

\(9r 60​\)

For any term t except 0, t 0 =1.

\(9×1\)

For any term t, t×1=t and 1t=t.

\(9\)

​

FIND ME AT https://brainly.lat/

WHAT

https://brainly.lat/app/profile/42873661/

I speak English and Spanish

Answer:

Thisis your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

a) £105 300

b) £132 300

Step-by-step explanation:

a) 2700*39=105 300

b) 2700*49=132 300

Answer:

27

Step-by-step explanation:

If 9 kilometers is 1/3, the total length of her drive would be 9: 1/3=9•3/1=27

Answer:

27

Step-by-step explanation:

if 9 kilometers is 1/3 of her journey then you should take 9 times 3 to find the total distance she needs to travel which is 27 kilometers

Use the table in the book to find the P-value rounded to at least 4 decimal places.

It is not possible to find the exact P-value rounded to at least 4 decimal places by using tables, as the P-value is a continuous variable and tables only give a range of values containing the P-value.

The probability that you would have discovered a specific collection of observations if the null hypothesis were true is expressed as a number called the p value, which is determined from a statistical test.

In order to determine whether to reject the null hypothesis, P values are utilised in hypothesis testing. You are more inclined to reject the null hypothesis the smaller the p value.

To learn more about probability distribution visit: brainly.com/question/30034780

#SPJ4

Answer:

A- 9.4

Step-by-step explanation:

r is at (2,-2)

s is at (7,6)

x difference = 5

7-2=5

y difference = 8

2+6=8

pythagorean theorem

5^2 + 8^2 = x^2

25+64=x^2

89=x^2

square root of 89 is ~9.43

~9.4

The variable that is held constant in the experiment is the volume of distilled water used to dissolve each compound.

In this experiment, the student is investigating the conductivity of compounds A, B, and C. To ensure a fair comparison and isolate the effects of the compounds themselves, it is important to keep certain variables constant. The variable held constant in this experiment is the volume of distilled water used to dissolve each compound. By using the same volume (1000 mL) for all three compounds, the student ensures that any differences observed in conductivity can be attributed to the properties of the compounds rather than variations in the amount of solvent. This helps in obtaining reliable and accurate results. By controlling this variable, the student can effectively compare the conductivity of the different compounds and draw conclusions about their conductive properties.

Learn more about volume here: https://brainly.com/question/28058531

#SPJ11

Answer:

13.6

Step-by-step explanation:

The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:

dilation factor = A'Q/AQ

AQ = A'Q/dilation factor

Replacing with data:

AQ = 2.4/0.15 = 16

Then, the distance between points A and A' is

x = 16 - 2.4 = 13.6

The function P(x) representing Ayden's total pay on a day on which  he sell x dollar worth of computers is P(x) = 0.01x + 90

The base pay amount of Ayden per regardless of sales = $90

The commission of Ayden = 1% of the dollar amount of sales

Consider the total sales amount in a day as x

The function is the mathematical expression that shows the relationship between one variable and another variable. If one variable is dependent variable then the other variable will be independent variable.

Then the function will be

P(x) = 1% of x + 90

= 0.01x + 90

Therefore, the equation for the function P(x) = 0.01x + 90

Learn more about function here

brainly.com/question/10454465

#SPJ4