What number must be added to the expression below to complete the
square?
x² - 18x​

The value of function f (8) is, - 42 which is negative.

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is ,

⇒ f (x) = 6 (1 - x)

Now, WE can find the value of f (8) by substitute the value of x = 8 in above function,

⇒ f (x) = 6 (1 - x)

⇒ f (8) = 6 (1 - 8)

⇒ f (8) = 6 × - 7

⇒ f (8) = - 42

Thus, The value of function f (8) is, - 42 which is negative.

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Answer:

4t - 9

Step-By-Step Explanation:

Answer:

1=60 degrees, 2=60 degrees, 3=120 degrees 4=67 degrees, 5=23 degrees 6=37 degrees

Step-by-step explanation:

180 degrees in any triangle

1: 180-(49+71)

2: 1 and 2 are opposite and opposite angles are equal

3: 360 -(angle 1+angle 2) then divide by 2

4: 180-(53 + angle 2)

5: 180-(angle 3+angle 6)

6: 90 degrees in a right angle so 90 degrees - 53 degrees

The value of n is 8.

Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.

Using the expansion of Binomial theorem, we can write,

(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............

Coefficient of x³ is  ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.

Ratio of these coefficients is 8 : 15.

[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15

Simplifying,

(4 × 2) / [(n - 3) 3] = 8/15

8 / 3n - 9 = 8 /15

Equating, we have,

3n - 9 = 15

3n = 24

n = 8

Hence the value of n is 8.

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Answer:

0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08

Step-by-step explanation:

Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8

Step-by-step explanation:

First find the greatest

0.09, 0.89,0.81, 0.08, 0,79

Then the least

0.9 .0.8

Now put it all together  

0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:

0

Step-by-step explanation:

Answer:

$620.82

Step-by-step explanation:

799 decrease 30% =

799 × (1 - 30%) = 799 × (1 - 0.3) = 559.3

559.3 increase 11% =

559.3 × (1 + 11%) = 559.3 × (1 + 0.11) = 620.823

1. 8^3 * 8^2, 8^5, and (2^3)^5

2. 6^9, and 6^5 x 6^4

Answer:

8+2√6x / 8-3x

Step-by-step explanation:

yes

There are 12 possible outcomes (12 months). This means the chance Siobhan guesses the month Andrew wrote down is 1/12 or 8.333%

Answer:

c ) Turn off her phone until she is on a break

Answer:

Step-by-step explanation:

Tuesday

Answer: Tuesday

Step-by-step explanation:

Second after Monday is Wednesday and then immediately is Thursday and second after Thursday is Saturday after which three days is Tuesday.

Answer:

Step-by-step explanation:

Since the Tootsie Roll lollipop is a sphere

volume of sphere= \(\frac{4}{3}piR^3\) = -0.25 \(in^3/min\)

the negative sign indicates that the volume is decreasing

upon differentiating

as the diameter given is =0.75 so radius will be = 0.375

\(dV/dt = 4piR^2*dR/dt\)

so \(dR/dt = 0.25/4*3.14 *(0.375)^2\)

So the radius is decreasing at the rate of dR/dt= 0.142in/min

Answer:

4,000

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

4 is in thousands place value; therefore, the digit 4 represents the number 4,000 in the number 84,230.

Hope this helped you out...have an amazing day! :)

Answer:

3.01

Step-by-step explanation:

To Find :-

SOLUTION :-

=> Monthly salary = $ 37.165/12= $ 3.01

The entire ocular micrometer ruler be in millimeters 2.3mm

For the scanning objective (4X),

the objective is the scanning power, The, power is 4X and the Diameter in mm is 2.3mm

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Answer:

C: EAF Is the correct answer

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

c. $28

Step-by-step explanation:

If Emily only has $30 to spend and the sales tax is 5%, then we can set up an equation to solve for the maximum cost of the dress:

30 = x + 0.05x

where x is the cost of the dress.

Simplifying this equation gives:

30 = 1.05x

Dividing both sides by 1.05 gives:

x = 28.57

Therefore, the maximum cost of the dress is approximately $28.57.

So the answer is © $28.

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

look in the comments and have a good day

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

1,5 should be correct this should be correct let me know and mark me brainless if it is thanks

The vertex of the parabola is,

⇒ (1, 5)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

x² - 2x + y - 4 = 0

Now, We can change it into vertex of this parabola as;

x² - 2x + y - 4 = 0

x² - 2x + 1 - 1 + y - 4 = 0

(x - 1)² + y - 5 = 0

(x - 1)² = - y + 5

(x - 1)² = - 1 (y - 5)

Thus, The vertex of the parabola is,

⇒ (1, 5)

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Answer:

(0.5,1)

Step-by-step explanation:

The midpoint formula is \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

Let's do x first

-1+2=1

1 ÷2=0.5

y

5+-3=2

2÷2=1

(0.5,1)

Hope this helps :-)

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Final conclusion would be that the difference between the means of the two samples is not statistically significant.

What is Null Hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

It is not possible to test the claim that the two samples come from populations with the same mean without more information about the samples themselves. In order to test this claim, you need to have the sample data, the sample sizes, and the standard deviations of the samples. You can then use a t-test for independent samples to determine whether the difference between the means of the two samples is statistically significant.

The t-test is a statistical test that is used to compare the means of two samples. The test statistic for the t-test is the difference between the means of the two samples divided by the standard error of the difference. The degree of freedom for the t-test is the sum of the sample sizes minus 2. The significance level, alpha, is the probability of making a type I error, which is the probability of rejecting the null hypothesis when it is true. The rejection region for the t-test is the set of values of the test statistic for which the null hypothesis is rejected.

If the test statistic does not fall in the rejection region, you cannot reject the null hypothesis, and you must conclude that the difference between the means of the two samples is not statistically significant.

Final conclusion would be that the difference between the means of the two samples is not statistically significant.

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