Cool Air Plus charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform. • Cool Breeze Air charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform. The system of linear equations shown can be used to represent this situation. In the system of linear equations, h represents the amount of time (in hours) it takes the company to perform the work and c represents the total cost (in dollars) of the air conditioning work performed by the company. {25h+25=c15h+40=c

Based on the given information, we can confidently say that f(x) < 0 over the interval (-∞, -4).

To determine the intervals where f(x) is greater than or less than 0, we need to analyze the given intervals.

For the first statement, f(x) < 0 over the interval (-∞, -4), we conclude that the function is negative for all x-values less than -4. This means that the function's graph will be below the x-axis in that interval.

For the second statement, f(x) < 0 over the interval (-∞, -3), we cannot directly conclude that the function is negative in this interval. It may be positive, zero, or negative. The given information is not sufficient to determine the behavior of the function in this specific interval.

For the third statement, f(x) > 0 over the interval (-∞, -3), we also cannot determine the behavior of the function based on the given information. It may be positive, zero, or negative in this interval.

For the fourth statement, f(x) > 0 over the interval (-∞, -4), we can conclude that the function is positive for all x-values less than -4. This means that the function's graph will be above the x-axis in that interval.

Based on the given information, we can confidently say that f(x) < 0 over the interval (-∞, -4). However, we cannot determine the behavior of the function in the other intervals (-∞, -3) and (-∞, -4) without further information.

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Step-by-step explanation:

50m.cloth costs=2500$

we can write,

2500$cost for=50m.

1$ costs for=\(\tt{\dfrac{50}{2500} }\) ⠀

=\(\tt{\dfrac{\cancel{50}}{\cancel{2500}} }\)m. ⠀

=\(\tt{\dfrac{1}{50} }\) m.⠀

So,

1000$ cost for ,

=\(\tt{\dfrac{1}{50}×1000 }\)

=\(\tt{\dfrac{1}{\cancel{50}}×\cancel{1000 }}\)

=\(\tt{20m. }\) ⠀

\(\therefore\) 20m. Will be bought in 1000$⠀

Answer:

The 20m of cloth will be bought in $1000.

Step-by-step explanation:

Given that :-

The cost of 50m cloth is $2500.

We need to find :-

How much meters of cloth will be bought in $1000.

Let us assume :

We bought x meters of cloth in $1000.

According to the question

50 = 2500

x = 1000

50 × 1000 = 2500 × x

50000 = 2500x

\(\frac{50000}{2500} \\ \) = \(\frac{2500x}{2500} \\ \)

20 = x

Hence,

The 20m of cloth will be bought in $1000.

Answer:

F(2x+3) = 12/(2x+3) +1/2

Step-by-step explanation:

Put the argument of the function where the variable is. You can simplify if you want, but the original function definition is not simplified, so we assume it is not required.

F(x) = 12/x + 1/2

Put (2x+3) where x is:

F(2x+3) = 12/(2x+3) + 1/2

12/k+1/2

24/a+1/2

12/x-1+1/2

12/2x+3+1/2

Answers should be correct, respectively (to the order of ur questions)

Answer: You need to put the same shape as it shows there on the top.

Step-by-step explanation: I hope this helped you.

76 degrees Fahrenheit was found to be equal to approximately 24.4 degrees Celsius using the formula of conversion.

To convert Fahrenheit to Celsius, you can use the following formula:

Celsius = (Fahrenheit - 32) x 5/9

Plugging in 76 degrees Fahrenheit, we get:

Celsius = (76 - 32) x 5/9

Celsius = 44 x 5/9

Celsius = 220/9

Celsius ≈ 24.4

Therefore, 76 degrees Fahrenheit is approximately 24.4 degrees Celsius.

On the Fahrenheit scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F, at standard atmospheric pressure.

On the Celsius scale, the freezing point of water is defined as 0 degrees Celsius (°C), and the boiling point of water is defined as 100 °C, at standard atmospheric pressure.

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The test statistic (42.19) falls between the lower and upper critical values (13.839 and 42.982) and the p-value (0.057) is greater than the significance level (0.05), we do not reject the null hypothesis.

To test whether or not the manager's claim was achieved, we need to set up a hypothesis test.

Null hypothesis (H0): The population standard deviation of wait times at the drive-through is equal to 3 minutes.
Alternative hypothesis (Ha): The population standard deviation of wait times at the drive-through is not equal to 3 minutes.

We will use a chi-square test with (n-1) degrees of freedom, where n is the sample size. At a 5% level of significance, the critical values are 12.242 (lower) and 41.337 (upper).

To calculate the test statistic, we use the formula:
χ^2 = (n-1) * s^2 / σ^2

where n is the sample size, s is the sample standard deviation, and σ is the hypothesized population standard deviation.

Plugging in the values, we get:
χ^2 = (28-1) * 3.75^2 / 3^2 = 30.1875

The corresponding p-value for this test statistic is 0.168, which is greater than 0.05. Therefore, we fail to reject the null hypothesis.

Our conclusion is: Do not reject the null hypothesis. There is insufficient evidence to support the Manager's claim.
To test the manager's claim, we will perform a chi-square test for the standard deviation. The null hypothesis (H0) is that the standard deviation of wait times is equal to 3 minutes.

First, we calculate the test statistic (rounded to 2 decimal places):

Chi-square = (n - 1) * (s^2) / σ^2
Chi-square = (28 - 1) * (3.75^2) / (3^2)
Chi-square = 27 * (14.0625) / 9
Chi-square = 42.19

Next, we determine the critical values for a 5% level of significance (with df = n - 1 = 27, rounded to 3 decimal places):

Lower critical value: 13.839
Upper critical value: 42.982

Now, we find the p-value (rounded to 3 decimal places):

p-value = P(Chi-square > 42.19) = 0.057

Since the test statistic (42.19) falls between the lower and upper critical values (13.839 and 42.982) and the p-value (0.057) is greater than the significance level (0.05), we do not reject the null hypothesis. There is insufficient evidence to support the manager's claim.

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Answer:

x = 2

Step-by-step explanation:

4(2x - 1) = 3x + 6

Simplify

8x - 4 = 3x + 6

Subtract 3x from both sides

8x - 3x - 4 = 3x - 3x + 6

5x - 4 = 6

Add 4 to both sides

5x - 4 + 4 = 6 + 4

5x = 10

Divide both sides by 5

5x/5 = 10/5

x = 2

Step-by-step explanation:

4(2x - 1) = 3x + 6

8x-4=3x+6

8x-3x=6+4

5x=10

x=10/5=2

If there are 20 items, then mοst prοbably the weight οf her suitcase wοuld be c) 20 lbs.

An algebraic expressiοn is a cοmbinatiοn οf variables, cοnstants, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn. It can include numbers, variables, and symbοls that represent mathematical οperatiοns.

Fοr example, the expressiοn 3x + 5 is an algebraic expressiοn where 3 and 5 are cοnstants, x is variable, and + represents additiοn. Similarly, the expressiοn 2a - b/3 is an algebraic expressiοn where 2 and 1/3 are cοnstants, a and b are variables, and - and / represent subtractiοn and divisiοn, respectively.

Assuming that Karen's items are typical travel items such as clοthing, tοiletries, and shοes, the mοst reasοnable predictiοn fοr the tοtal weight οf her suitcase wοuld be arοund 11 lbs (οptiοn c), which is a reasοnable weight fοr a small tο the medium-sized suitcase.

Optiοn d, 26 lbs, cοuld be a pοssibility if the items were heavy οr if the suitcase is large, but it is less likely than οptiοn c.

Optiοn a, 17 lbs, seems tοο light, while οptiοn b, 36 lbs, may be pοssible but less likely than οptiοn c 20 lbs.

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Complete question:

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

(1,0) and (-3,0)

Step-by-step explanation:

Answer:

300 doors.

Step-by-step explanation:

1.5 minutes for 1 door.

7.5 hours for 300 doors.

7.5 hours = 450 minutes.

\(\frac{450}{1.5}=300\)

Answer:

DE=18

Step-by-step explanation:

The reason is because that parallelogram ABCD has most of the sides equal to each other.

The length of DB = 36 and half of 36/2 gets us DE.

DE=36/2=18

DE=18 also equals to BE=18

Diagonals of a parallelogram bisect each other

So

Putting DE=BE

Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer:

6.234 × 10-7

Step-by-step explanation:

Answer:

6.234 x 10^-7

Step-by-step explanation:

When writing the number in standard form you have to look at the decimal point. If you already have a decimal point (like the question) then look for the first non-zero digit (in terms of the question, its 6). You have to move the decimal point to right until its after the first non-zero digit. Count how many spaces you moved, in this case its 7. If you are moving to the left you have to put a negative sign when writing the power of 10.

Hope this helps!!

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

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Answer:

the answer should be 39 days

Step-by-step explanation:

Answer:

140 days

Step-by-step explanation:

500+20p=780

780-500=280

280/20=140

Answer:

24 and 15

Step-by-step explanation:

24+15=39

24-15=9

I hope this helps

Answer:

24 and 15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Put '0' in for 's' and solve :

0 = -p^2 + 75 p + 1200

 Use Quadratic Formula with a = -1      b=75      c = -1200

      to find p = ~ 24  OR  52       THE LEAST NUMBER WOULD BE 24

To find the vector v with the same direction as u and a length of 3, we can scale the vector u by a factor of 3 divided by its magnitude.

Given vector u = (1, 2, -1, 0) and the desired length of v as 3, we first need to calculate the magnitude (or length) of vector u.

The magnitude of a vector is computed using the formula:

∥u∥ = √(u1² + u2²+ u3² + u4²), where u₁, u₂, u₃, and u₄ are the components of vector u.

In this case, the magnitude of vector u is √(1² + 2² + (-1)² + 0²) = √6. To find vector v with the same direction as u and a length of 3, we scale u by the factor 3/√6.

This can be done by multiplying each component of u by the scaling factor.

Therefore, vector v = (3/√6) * (1, 2, -1, 0) = (√6/2, √6, -√6/2, 0).

Hence, vector v has the same direction as u and a length of 3.

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Option C, 1 mile is the correct answer

The displacement is 1 mile.

Given that, Amy runs 2 miles south, then turns around and runs 3 miles north.

Displacement is the change in the position of any point or object. It has a direction and magnitude, so it is a vector quantity. It is shown with an arrow that points from the starting position to the final position.

Now, Amy runs 2 miles south from the fixed point he runs in the north direction for 3 miles.

So, the displacement=1 mile

Therefore, the displacement is 1 mile.

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Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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A city's citizens cast ballots on whether or not to increase property taxes. There were 8 yes votes and 5 nay votes, in that order. if there were 4955 no votes,The total number of votes was 6,940.

The ratio of yes votes to no votes was 8 to 5, meaning for every 8 yes votes there were 5 no votes.

This ratio can be expressed as a fraction: 8/5.

To calculate the total number of votes, we need to know only the number of no votes, which we know is 4955.

We can then multiply this number by the fraction 8/5. This gives us a total of 6,940 votes.

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Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

The value of a = 6, b = 1/2 and c = -5/2

In this question, we have been given an equation,

6x² + 6x − 1 = a(x + b)² + c.

We need to find the value of a, b and c.

6x² + 6x − 1 = a(x + b)² + c

6x² + 6x − 1 = a(x^2 + 2bx + b²) + c

6x² + 6x − 1 = ax^2 + 2abx + ab² + c

Comparing coefficient of x^2, x and constant term,

1) a = 6

2) 2ab = 6

Substitute above value of a ,

2(6)b = 6

b = 1/2

3) ab^2 + c = -1

substitute above value of a and b

6(1/2)^2 + c = -1

6 * 1/4 + c = -1

3/2 + c = -1

c = -1 - 3/2

c = -(1 + 3/2)

c = -5/2

Therefore, the value of a = 6, b = 1/2 and c = -5/2

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Answer:

THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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9514 1404 393

Answer:

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.

Right Side Angles

  x° +(5x -180)° = 180°

  6x = 360 . . . . . . . . . . . divide by °, add 180

  x = 60 . . . . . . . . divide by 6

__

Left Side Angles

  4y° +2y° = 180°

  6y = 180 . . . . . . . . . divide by °

  y = 30 . . . . . . . divide by 6

Answer:

volume=0.000064\(m^{3}\)

mass=0.5888kg

Step-by-step explanation:

Answer:

are you asking how much he saved? i'm confused.

because if he earned 20 by saving and 5 from his tooth - that's only 25$!

where did the other 25 come from??? was it from his savings?