Sophie needed to get her computer fixed she took it to the repair store the technician at the store worked on the computer for four hours, and charged her $
127 for parts the total was $227 write and Solve an equation which can be used to determine X the cost of labor per hour

To evaluate the expressions for z = 1 + i, we'll consider each part:

(a) zz (the product of z and its complex conjugate):
First, find the complex conjugate of z, which is the same as z but with the imaginary part negated: z* = 1 - i. Now, multiply z and z*:
z * z* = (1 + i)(1 - i) = 1 - i + i - i^2 = 1 - i^2 = 1 - (-1) = 1 + 1 = 2.

(b) Re(z) + Im(z) Z^2 + 2:
Re(z) is the real part of z, which is 1. Im(z) is the imaginary part of z, which is 1. Now, square z:
Z^2 = (1 + i)^2 = 1 + 2i + i^2 = 1 + 2i - 1 = 2i.
Finally, calculate Re(z) + Im(z) Z^2 + 2:
1 + 1(2i) + 2 = 1 + 2i + 2 = 3 + 2i.

So, the expressions evaluated are (a) zz = 2 and (b) Re(z) + Im(z) Z^2 + 2 = 3 + 2i.

#SPJ11

Learn more on: https://brainly.com/question/19826884

Experiment: "Favorite Cake Flavor"

Hypothesis: Different people have different favorite cakes flavors.

Now, Data collection enables us to identify the cakes flavors both popular and unpopular amongst users.

Furthermore, data analysis based on factors such as age, gender, and location allows for determining if disparities exist between consumer flavor preferences.

The findings of this study would be beneficial to cakes manufacturers and retailers, as they could enhance comprehension of preferred buyer choices and eventuate their products accordingly.  

Conclusively, improved knowledge of preferred flavor profiles would facilitate refining marketing methodologies to attract a broader target audience.

Learn more about experiments on

brainly.com/question/17274244

#SPJ1

Answer:

43.96 cm

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

Given that the radius of the circle is 7 cm, we can substitute this value into the formula and simplify:

C = 2πr

C = 2 × 3.14 × 7

C = 43.96

Therefore, the circumference of the circle is approximately 43.96 cm.

The three options with dimensions resulting in a surface area greater than 140 square feet are:

To determine whether the dimensions of a rectangular prism result in a surface area greater than 140 square feet, we can use the formula for the surface area of a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

    where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Option 1: 6 feet by 2 feet by 3 feet

Surface Area = 2(6)(2) + 2(6)(3) + 2(2)(3) = 24 + 36 + 12 = 72 square feet

This option does not have a surface area greater than 140 square feet.

Option 2: 6 feet by 5 feet by 4 feet

Surface Area = 2(6)(5) + 2(6)(4) + 2(5)(4) = 60 + 48 + 40 = 148 square feet

This option has a surface area greater than 140 square feet.

Option 3: 7 feet by 6 feet by 4 feet

Surface Area = 2(7)(6) + 2(7)(4) + 2(6)(4) = 84 + 56 + 48 = 188 square feet

This option has a surface area greater than 140 square feet.

Option 4: 8 feet by 3 feet by 7 feet

Surface Area = 2(8)(3) + 2(8)(7) + 2(3)(7) = 48 + 112 + 42 = 202 square feet

This option has a surface area greater than 140 square feet.

Option 5: 8 feet by 4 feet by 3 feet

Surface Area = 2(8)(4) + 2(8)(3) + 2(4)(3) = 64 + 48 + 24 = 136 square feet

This option does not have a surface area greater than 140 square feet.

Therefore, the three options with dimensions resulting in a surface area greater than 140 square feet are:

To learn more about Dimensions of Rectangular Prism,

brainly.com/question/30344019

The summation notation [tex]\sum\limits^{2}_{n = 0} (-52 + n)[/tex] when evaluated has a value of -153

From the question, we have the following notation that can be used in our computation:

[tex]\sum\limits^{2}_{n = 0} (-52 + n)[/tex]

This means that we substitute 0 to 2 for n in the expression and add up the values

So, we have

[tex]\sum\limits^{2}_{n = 0} (-52 + n) = (-52 + 0) + (-52 + 1) + (-52 + 2)[/tex]

Evaluate the sum of the expressions

So, we have

[tex]\sum\limits^{2}_{n = 0} (-52 + n) = -153[/tex]

Hence, the solution is -153

Read more about summation notation at

https://brainly.com/question/15973233

#SPJ1

To prove F(c)(A + B) → (Vx) A (3.c)B, we need to show that if the union of sets A and B is finite, then there exists an element x in A such that for all elements y in B, (x, y) is in the relation C.

Assume F(c)(A + B) is true. Then for any (x, y) in C, x belongs to A + B, which means x belongs to either A or B. If x belongs to A, then we have found an element x in A such that for all elements y in B, (x, y) is in C, and we are done. If x belongs to B, then we need to find another element in A such that the condition holds.

Since A and B are finite, their union A + B is also finite. Let n be the size of A + B. Then there are n distinct elements in A + B, say a1, a2, ..., an. Since there are more elements in A than in B (or equal if they have the same size), there must be at least one element of A among a1, a2, ..., an. Call this element x.

Now, consider any element y in B. Since x belongs to A + B and y belongs to B, their sum x + y belongs to A + B as well. But we know that x + y cannot be equal to x, since y is not in A. Therefore, x + y must be equal to one of the remaining n-1 elements of A + B, say ai. But then ai - x = y, so (x, y) is in C.

Therefore, we have shown that F(c)(A + B) → (Vx) A (3.c)B is true.

For the second part of the question, we need to show that for any set A in N, there exists a set B in N such that A is a subset of B and B is infinite.

Let B be the set of all natural numbers greater than the maximum element in A. Then A is clearly a subset of B, and B is infinite since it contains all natural numbers greater than a certain number.

Therefore, we have shown that for any set A in N, there exists a set B in N such that A is a subset of B and B is infinite.

To learn more about sets visit : https://brainly.com/question/13458417

#SPJ11

The simplified form of sin x / (1-cos x) is not in the provided options. The final form is  (1 + cos x)^(1/2).

To find the simplified form of sin x / (1-cos x), we will use the following identity:

sin^2(x) + cos^2(x) = 1
Now, we can rewrite sin^2(x) as (1 - cos^2(x)).

Then, we will factor in the numerator:
sin x / (1 - cos x) = (1 - cos^2(x))^(1/2) / (1 - cos x)
Next, we factor the denominator by using the difference of squares formula:
(1 - cos^2(x))^(1/2) / (1 - cos x) = [(1 + cos x)(1 - cos x)]^(1/2) / (1 - cos x)
Now, we can simplify by canceling out the common factor (1 - cos x):
[(1 + cos x)(1 - cos x)]^(1/2) / (1 - cos x) = (1 + cos x)^(1/2)

Learn more about cos x: https://brainly.com/question/3444043

#SPJ11

The probability that a student studied for 5 hours is given as follows:

0.23.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of students in this problem is given as follows:

1 + 3 + 2 + 5 + 9 + 7 + 3 = 30.

Out of those 30 students, 7 studied five hours, hence the probability is given as follows:

p = 7/30 = 0.23.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

This is the minimum variance of 0, and we can see that it decreases as n increases.

What is the standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean. The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.

To find the minimum variance unbiased estimator of 0, we first take the natural logarithm of the likelihood function:

ln [tex]L(0; Y_1, Y_2, ..., Y_n) = -n*0 - (Y_1+Y_2+...+Y_n)[/tex]

Taking the derivative with respect to 0 and setting it equal to zero, we get:

d/d0 ln [tex]L(0; Y_1, Y_2, ..., Y_n) = -n + 0 = 0[/tex]

Therefore, the maximum likelihood estimator of 0 is:

[tex]0 = ΣY_i / n[/tex]

To show that it is unbiased, we take the expected value of 0:

[tex]E(0) = E(ΣYi / n) = (1/n) E(ΣYi) = (1/n) nE(Y1) = (1/n) n(0+1) = 1[/tex]

Since E(0) = 1, we can see that 0 is an unbiased estimator of 0.

To find the variance of 0, we use the fact that [tex]Var(Yi) = E(Yi^2) - [E(Yi)]^2 = 1 - 0^2 = 1 - (ΣYi / n)^2.[/tex] Therefore:

[tex]Var(0^) = Var(ΣYi / n) = (1/n^2) Var(ΣYi) = (1/n^2) nVar(Y1) = 1/n - (ΣYi / n)^2[/tex]

This is the minimum variance of 0, and we can see that it decreases as n increases.

Learn more about standard deviation, by the following link.

https://brainly.com/question/12402189

#SPJ4

Answer:

1.5 and 4

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original.

1

scale factor = [tex]\frac{DF}{AC}[/tex] = [tex]\frac{21}{14}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

2

scale factor = [tex]\frac{8}{2}[/tex] = 4

If the two firms do not cooperate, the payoff that North Springs and South Springs receive in the dominant-strategy equilibrium and the Nash equilibrium would depend on the specific game or scenario being played. Without more information about the specific game being played and the strategies of the two firms, it is impossible to provide a definitive answer.

However, in general, the dominant-strategy equilibrium refers to the situation where each player chooses their best strategy, regardless of what the other player does. The Nash equilibrium refers to the situation where each player chooses their best strategy given what the other player is doing. In some cases, the dominant-strategy equilibrium and the Nash equilibrium may be the same, but in other cases, they may differ.

So, in order to determine the payoff that North Springs and South Springs receive in these equilibria, more information about the game being played and the strategies of the two firms would be needed.
Based on the information given, we can analyze the payoff for both North Springs and South Springs firms in the dominant-strategy equilibrium and the Nash equilibrium.

Dominant-Strategy Equilibrium:
1. Identify each firm's dominant strategy (the best response regardless of the other firm's action).
2. Combine the dominant strategies for both firms to find the outcome.

Nash Equilibrium:
1. Identify each firm's best response given the other firm's action.
2. Find the outcome where both firms are simultaneously choosing their best responses.

Without specific numerical payoffs, I cannot provide the exact payoff amounts. However, once you have the payoff matrix, you can follow the steps mentioned above to find the payoffs for North Springs and South Springs in the dominant-strategy equilibrium and the Nash equilibrium.

Learn more about equilibrium here:- brainly.com/question/30807709

#SPJ11

Answer:

432

Step-by-step explanation:

-12(-36) = 432

If sales are expressed as a function of the amount spent on advertising, then the dollar amount at which the rate of change of sales goes from increasing to decreasing is called the point of diminishing returns or diminishers returns to scale.

It sounds like you want to know about the relationship between sales, advertising, and the rate of change. Here's an answer incorporating the terms you've mentioned:

If sales are expressed as a function of the amount spent on advertising, the dollar amount at which the rate of change of sales goes from increasing to decreasing is called the inflection point. If 'x' is that dollar amount, then 'x' represents the advertising budget at which the sales growth rate starts to decline.

This point indicates that increasing the amount spent on advertising beyond this dollar amount will result in a decrease in the rate of change of sales. This is known as the diminishers' scale to return.

Learn more about Diminishers:

brainly.com/question/14673761

#SPJ11

Since we do not have information on a previous survey, we cannot calculate this percentage

i. To find the number of employees who prefer LEXUS only, we need to subtract the number of employees who preferred both LEXUS and MERCEDES, and the number of employees who preferred all three brands, from the total number of employees who prefer LEXUS:

LEXUS only = Total number of LEXUS preference - (Number of employees who prefer both LEXUS and MERCEDES) - (Number of employees who prefer all three brands)

LEXUS only = (8 + 4) - 8 - 4

LEXUS only = 8

Therefore, 8 employees prefer LEXUS only.

ii. To find the number of employees who prefer AMAROK only, we need to subtract the number of employees who preferred both MERCEDES and AMAROK, and the number of employees who preferred all three brands, from the total number of employees who prefer AMAROK:

AMAROK only = Total number of AMAROK preference - (Number of employees who prefer both MERCEDES and AMAROK) - (Number of employees who prefer all three brands)

AMAROK only = (8 + 4) - 4 - 4

AMAROK only = 4

Therefore, 4 employees prefer AMAROK only.

iii. We are given that 5 employees dislike all three brands. Since this information is only from the Private Sector, we cannot determine the number of employees who dislike all three brands in the total of 175 employees from both Public and Private Sectors.

iv. The percentage increase in the number of employees who preferred all three brands is the difference between the number of employees who preferred all three brands in the current survey and the number of employees who preferred all three brands in a previous survey, divided by the number of employees who preferred all three brands in the previous survey, multiplied by 100%. Since we do not have information on a previous survey, we cannot calculate this percentage.

v. The proportion of employees who preferred all three brands in the current survey is 4/23 or approximately 0.174. To compute the percentage decrease in the proportion of employees who preferred all three brands, we need to compare this proportion with the proportion of employees who preferred all three brands in a previous survey. Since we do not have information on a previous survey, we cannot calculate this percentage.

To learn more about multiplied visit:

https://brainly.com/question/23536361

#SPJ11

Answer:

all yes

Step-by-step explanation:

The probability of getting an odd number or a multiple of 4 is 3/4.

Given that, a twelve-sided die has sides numbered 1 through 12. we need to find the probability of getting a number odd or a multiple of 4.

Probability = favorable outcomes / total number of outcomes

For odd numbers =

Favorable outcomes = 1, 3, 5, 7, 9, 11 = 6

P(odd number) = 6/12 = 1/2

For multiple of 4 =

Favorable outcomes = 4, 8, 12 = 3

P(multiple of 4) = 3/12 = 1/4

P(odd or a multiple of 4) = 1/2 + 1/4 = 3/4

Hence, the probability of getting an odd number or a multiple of 4 is 3/4.

Learn more about probability, click;

https://brainly.com/question/30034780

#SPJ1

The probability that both the man and the woman will be alive fifty years later is 0.176.

Since, The probability of that both the man and woman will be alive fifty years later, we have to multiply the two probabilities together as they are independent events.

So, We get;

P(both alive after fifty years) = P(man alive after fifty years) x P(woman alive after fifty years)

P = 0.352 x 0.500

P = 0.176

Therefore, the probability that both the man and the woman will be alive fifty years later is 0.176.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

8% for 24 months has the lower finance charge of $296, compared to option b) with a finance charge of $363.50.

To compare the two loans, we need to calculate the finance charge for each option.

For option a) at 8% APR for 24 months, we can use the following formula:

Finance charge = (loan amount x interest rate x time) / 12

Finance charge = (1850 x 0.08 x 24) / 12 = 296

So the finance charge for option a) is $296.

For option b) at 11% APR for 18 months, we can use the same formula:

Finance charge = (loan amount x interest rate x time) / 12

Finance charge = (1850 x 0.11 x 18) / 12 = 363.5

So the finance charge for option b) is $363.50.

Therefore, option a) has the lower finance charge of $296, compared to option b) with a finance charge of $363.50.

For more details regarding finance charge, visit:

https://brainly.com/question/2588555

#SPJ1

The median wait time for the speed slide is 2 times longer than the median wait time for the wave machine.

No, There is a lot of overlap between the two data sets.

We have,

Box plots:

Speed side

Median = 11

First quartile = 6

Third quartile = 12

IQR = 12 - 6 = 6

Wave machine

Median = 9

First quartile = 8

Third quartile = 14

IQR = 14 - 8 = 6

Now,

Difference between the median.

= 11 - 9

= 2

Now,

From the box plots, the wait time for the wave machine is longer than the speed side.

Thus,

The median wait time for the speed slide is 2 times longer than the median wait time for the wave machine.

No, There is a lot of overlap between the two data sets.

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

There are many good first moves in chess, but some of the most popular ones include:

The Italian Game (1.e4 e5 2.Nf3 Nc6 3.Bc4) which aims to control the center quickly with your pawn and knight.

The Sicilian Defense (1.e4 c5) which is a sharp and aggressive opening that aims to control the center with black’s pawns.

The French Defense (1.e4 e6) which aims to control the center with black’s pawns and bishop.

The Ruy-Lopez (1.e4 e5 2.Nf3 Nc6 3.Bb5) which is one of the oldest and most respected openings in chess history.

The Slav Defense (1.d4 d5 2.c4 c6) which is a solid opening that aims to control the center with black’s pawns.

These are just a few examples of good first moves in chess. It’s important to remember that there is no one “best” opening move in chess, as it depends on your playing style and personal preference.

I hope this helps! Let me know if you have any other questions.

Answer:

2

Step-by-step explanation:

The order of operations is:

Parentheses

Exponents
Multiply
Division
Addition
Subtraction

1 + 1 * 1 / 1 =

1 + (1 * 1) / 1 =

1 + 1 / 1 =

1 + 1 =

2

-------------------------------------------------------------------------------------------------------------

Hope this helps :)

Answer:

B: 4.5

Step-by-step explanation:

(a) When the ball leaves the child's hand, x = 0, so we can substitute this into the equation:
y = -1/16(0)^2 + 2(0) + 5
y = 5
Therefore, the ball is 5 feet high when it leaves the child's hand.

(b) To find the maximum height of the ball, we need to determine the vertex of the parabola. The x-coordinate of the vertex is given by:
x = -b/2a
where a = -1/16 and b = 2. Substituting these values:
x = -2/(2(-1/16))
x = 16
To find the y-coordinate, we substitute x = 16 into the equation:
y = -1/16(16)^2 + 2(16) + 5
y = 21
Therefore, the maximum height of the ball is 21 feet.

(c) To find how far from the child the ball strikes the ground, we need to determine the value of x when y = 0. Substituting y = 0 into the equation:
0 = -1/16x^2 + 2x + 5
Multiplying both sides by -16 to eliminate the fraction:
0 = x^2 - 32x - 80
We can solve for x using the quadratic formula:
x = (32 ± sqrt(32^2 - 4(1)(-80))) / 2(1)
x = (32 ± sqrt(1472)) / 2
x = 16 ± 8sqrt(2)
Since the ball cannot land behind the child, we take the positive value:
x = 16 + 8sqrt(2)
Therefore, the ball strikes the ground approximately 29.1 feet from the child.

To learn more about parabola : brainly.com/question/29075153

#SPJ11

The possible values of the expression when the inequality is true, are:

(8, ∞).

Here we have the absolute value expression:

A = |x + 3|

And we know that x > 5, replacing that in the inequality, we will see that the lower bound of the possible values is:

A  >|5 + 3|

A > 8

Then the values allowed for the expression are all the values in the range (8, ∞).

Learn more about inequalities.

https://brainly.com/question/24372553

#SPJ1

The correlation coefficient of 0.88 reveals that there is an intense linear connection between the two variables.

It should be noted that to ascertain the correlation coefficient, we can utilize the formula:

r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]

Retaining the same numeric values from before, we can compute:

r = (9(976) - (36)(605)) / sqrt[(9(182) - (36)^2)(9(11681) - (605)^2)] ≈ 0.88

Therefore, the correlation coefficient is fairly close to 0.88.

The correlation coefficient implies a strong positive relationship between hours expended studying and test outcomes. As the quantity of hours committed to studying increases, the test scores will tend to keep up accordingly. A correlation coefficient of 0.88 reveals that there is an intense linear connection between the two variables, and the line of best fit serves as a desirable standard representation of the data.

Learn more about correlation on

https://brainly.com/question/28175782

#SPJ1

Answer:

Step-by-step explanation:

It appears there is an error in the table. The correct table is:

[tex]\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|}\cline{1-11}\vphantom{\dfrac12}\textsf{Hours spent studying $(x)$}&0&1&2&4&4&4&6&6&7&8\\\cline{1-11}\vphantom{\dfrac12}\textsf{Test score $(y)$}&35&40&46&65&67&70&82&88&82&95\\\cline{1-11}\end{array}[/tex]

The simplest method to find the linear regression equation and the correlation coefficient for this data set is to use a statistical calculator.

After entering the data into a statistical calculator we get:

The regression line of y on x is y = a + bx.

Therefore, substitute the found values of a and b into the formula to write the linear regression equation for the given data set:

[tex]\boxed{y=34.27+7.79x}[/tex]

The correlation coefficient is the value of r, so r = 0.98 to the nearest hundredth.

The correlation coefficient, r, measures the strength of the linear correlation between two variables. |t is always between +1 and -1.

As r = 0.98, there is a very strong positive correlation.

In context, this suggests that the more hours of studying for a test a student does, the higher their test score.

Range of center should be used to determine which location typically has the cooler temperature.

Now, We know that;

Range is measures the difference between the highest and lowest values in a dataset, providing a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Desert Landing and Flower Town.

A histogram is a graphical representation of the distribution of a dataset. It is a way to display the frequency of different values or ranges of values in a dataset.

The x-axis of a histogram typically represents the values or ranges of values, and the y-axis represents the frequency or count of those values.

The data is divided into bins, and each bin is represented by a bar whose height corresponds to the number of observations in that bin. Histograms are used to visualize the distribution of data, detect outliers, and identify patterns or trends in the data.

Learn more about histogram in;

brainly.com/question/16819077

#SPJ1

Your answer: (c) If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

The correct interpretation of the given confidence interval is (b) 95% of the population of employees have systolic blood pressure between 122-138. This means that if we take multiple samples of the same size from the population, 95% of the confidence intervals we construct from those samples will contain the true population mean systolic blood pressure.

Option (a) is incorrect as it only talks about the sample employees, not the population.

Option (c) is also incorrect as it talks about repeating the procedure of constructing confidence intervals, not the actual population mean systolic blood pressure.

Option (d) is incorrect as it talks about the probability of the population mean, which is not a valid interpretation of a confidence interval.

Option (e) is also incorrect as it talks about the sample means, not the population mean.

Learn more about :

systolic blood pressure : brainly.com/question/12653596

#SPJ11

Finally, using the commutative and associative properties of Boolean addition, we can group the terms to get AB + AC + B.

Q1:

Using De Morgan's theorem, we have:

F = XYZ + XYZ = XYZ(1 + 1) = XYZ

Taking the complement of F, we get:

F' = (XYZ)'

= (X'+Y'+Z')

= X'Y'Z'

Now, let's find the complement of F';

F' = X(YZ + Y'Z')

Taking the complement of F', we get:

F'' = (X(YZ + Y'Z'))'

= (X(YZ)')(Y(Y')Z')'

= (X'(Y'+Z))(YZ)

= X'YZ + XYZ'

Therefore, the complement of F is X'Y'Z', and the complement of F'; is X'YZ + XYZ'.

Q2:

ABC + ABC + ABC + ABC + ABC = ABC + ABC + ABC = ABC

Explanation: Using the associative property of Boolean addition, we can group the terms to get ABC + ABC + ABC = ABC.

AB + A(B+C) + B(B+C) = AB + AB + AC + BB + BC

= AB + AC + B

Explanation: Using the distributive property of Boolean multiplication over addition, we can expand the second and third terms to get AB + AC + BB + BC. Using the identity law, BB can be simplified to B. Finally, using the commutative and associative properties of Boolean addition, we can group the terms to get AB + AC + B.

To learn more about commutative visit:

https://brainly.com/question/30339266

#SPJ11

The equations are;

H = 24 + 9x

H = 40 + 5x

In a word problem, there are usually one or more unknown quantities that you need to find. Identify these unknowns and assign them a variable.

We have to know that Tree A was 24 inches tall and Tree B was 40 inches tall. Each year thereafter, Tree A grew by 9 inches per year and Tree B grew by 5 inches per year.

Then for tree A;

H = 24 + 9x

For tree B

H = 40 + 5x

Where x is the number of years that the trees stay.

Learn more about equation:https://brainly.com/question/29657992

#SPJ1

The coordinates of any point on the flat surface of the washer, and the radius is half of the diameter, which is 3/7 inches.

To describe the flat surface of a washer that is 3.6 inches in diameter and has an inner hole with a diameter of 3/7 inch, we can use the following inequalities:

For the outer circumference of the washer:

[tex]x^2 + y^2[/tex]≤ [tex](3.6/2)^2[/tex]

where x and y are the coordinates of any point on the flat surface of the washer, and the radius is half of the diameter, which is 3.6/2 inches.

For the inner circumference of the washer:

[tex]x^2 + y^2[/tex] ≥ [tex](3/14)^2[/tex]

where x and y are the coordinates of any point on the flat surface of the washer, and the radius is half of the diameter, which is 3/7 inches.

Note that these inequalities represent the circular boundaries of the flat surface of the washer, where the outer circumference is a circle with radius 1.8 inches and the inner circumference is a circle with radius 3/14 inches. The flat surface of the washer is the region bounded by these two circles.

To learn more about  coordinates  visit: https://brainly.com/question/16634867

#SPJ11