Solve 5kx + 6 = 7 kx for x.

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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The probability that (-0.73 < z < 2.27) is approximately 0.7569, while the probability that (z < 2.01) is approximately 0.9783.

To find the probability that (-0.73 < z < 2.27) where z is a standard normal variable, we can use the standard normal distribution table or a calculator. The probability can be calculated as P(-0.73 < z < 2.27) = P(z < 2.27) - P(z < -0.73). By referring to the standard normal distribution table, we can find the corresponding probabilities and subtract them to obtain the desired result.

To find the probability that (p(-0.73) < z < 2.27), where z is a standard normal variable, we can use the standard normal distribution table or a statistical software.

From the standard normal distribution table, we can find the corresponding probabilities for each z-value:

P(z < -0.73) = 0.2320 (from the table)

P(z < 2.27) = 0.9889 (from the table)

To find the probability that p(-0.73) < z < 2.27, we subtract the probability corresponding to the lower z-value from the probability corresponding to the higher z-value:

P(-0.73 < z < 2.27) = P(z < 2.27) - P(z < -0.73)

                    = 0.9889 - 0.2320

                    = 0.7569

Therefore, the probability that (-0.73 < z < 2.27) is approximately 0.7569.

For the second question, to find the probability that p(z < 2.01), we can use the standard normal distribution table:

P(z < 2.01) = 0.9783 (from the table)

Therefore, the probability that (z < 2.01) is approximately 0.9783.

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Answer:

x = 3y + 1

Step-by-step explanation:

You need to find the relationship between x and y before finding the y-intercept.

0-(-1) = 1

1-0 = 1

2-1 = 1

1-(-2) = 3

4-1 = 3

7-4 = 3

As x increases by 1, y increases by 3.

At x = 0, y is already 1. Thus:

x = 3y + 1

Answer:

Slope-intercept For: \(y = 3x + 1\)

Standard Form: \(9x - 3y = -3\)

Point-slope Form: \(y - 4 = 3(x - 1)\)

Step-by-step explanation:

Slope-intercept Form: \(y = mx + b\)

Standard Form: \(Ax + By = C\)

\(\frac{y}{-3x} = \frac{3x}{-3x} + 1\\-3(-3x + y = 1)\\9x -3y = -3\)

Point-slope Form: \(y_2 - y_1 = m (x - x_1)\)

\((1, 4)\\y - 4 = 3 (x - 1)\)

Answer:

ANSWERED UP AND DOWN

1. 0.66

2. 0.33

3. 0.4

4. 0.09

5. 0.63

6. 0.5

7. 0.66

8. 0.4

9. 0.416

10. 0.5

11. 0.55

12. 0.6

13. 0.15

14. 0.05

15. 0.44

16. 0.5

17. 0.083

18. 0.29 (rounded)

19. 0.875

20. 0.33

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Here are the solutions to your questions ⇨

Two angles that have the same initial side and share the same terminal side are called coterminal angles.

The answer for the first blank space is:

Coterminal

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

Increasing or decreasing the degree measure of an angle in standard position by an integer multiple of 360 results in a coterminal angle.

Therefore, the answer for the second blank space is:

360 degrees

Answer:

1697.5

Step-by-step explanation:

bY multiplying

Answer:

1697.5

Step-by-step explanation:

you just add a dot next the the 5 and remove remove the last dight

Answer:

a is the same as c b and d/8 are the same so b=8  

Step-by-step explanation:

Answer:

you are missing B = 8

Step-by-step explanation:

if this is helpful please like this i need points

Answer:

the answer is a taking common 7 and remaing 9-m out of 63-7m

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

\(9\)

Step-by-step explanation:

\(x \div 4=9/4\)

\(x=9/4 \times 4\)

\(x=36/4\)

\(x=9\)

Answer:

9

Step-by-step explanation:

x/4=9/4

x=9 (multiply both sides by 9)

Answer:

x = 6, y = 1

Step-by-step explanation:

-5x+10y = -20

5x-4y = 26

Adding both equations

=> -5x+10y+5x-4y = -20+26

=> 10y - 4y = 6

=> 6y = 6

Dividing both sides by 6

=> y = 1

Putting y = 1 in the first equation

=> -5x+10(1) = -20

=> -5x = -20-10

=> -5x = -30

Dividing both sides by -5

=> x = 6

Answer:

Step-by-step explanation:

Using the elemination method,

-5x + 10y = - 20

5x - 4y = 26

_____________

6y = 6

divide both sides of the equation by 6

6y/6 = 6/6

y = 1 --------> equation (i)

again,

Finding the value of X,

plugging the value of y from equation (i)

-5x + 10y = -20

or, -5x + 10*1 = -20

or, -5x + 10 = -20

or, -5x = -20-10

or, -5x = -30

or, x = -30/-5

X = 6

Hope this helps....

Good luck on your assignment..

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

A = 13.23 m²

Step-by-step explanation:

A = bh

Where,

A = area of the parallelogram

b = base of the parallelogram

h = height of the parallelogram

From the question, assume

b = 2.1 m

h = 6.3 m

A = bh

= 2.1 m × 6.3 m

= 13.23 m²

A = 13.23 m²

The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.

From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.

f(x) = 2 cos 2x.

f'(x) = -4 sin 2x

f"(x) = -8 cos 2x

Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l

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By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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The team plots alternatives on a two by two matrix using the 2x2 Matrix decision support technique. The matrix diagram is a straightforward square divided into four equal quadrants, sometimes known as a four blocker or magic quadrant. A decision criterion, such as cost or effort, is represented by each axis.

A diagonal matrix in linear algebra is a matrix with all zero entries outside of the primary diagonal; the word typically applies to square matrices. The major diagonal's components can either have zero or nonzero elements.

The redundant column vectors are all taken out of the kernel when determining the basis of a matrix, leaving only the linearly independent column vectors. A basis is therefore merely the sum of all the linearly independent vectors.

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Hello loll6591!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

Perform the indicated operation and simplify the result. x/5+x/6

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \frac{x}{5} + \frac{x}{6} \\ \)

First, find the LCM of 5 & 6, which is 30.

\( \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} \)

Now add 6x/30 with 5x/30.

\( \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}\)

__________________

Hope it'll help you!

ℓucαzz ッ

Answer:uwu

Step-by-step explanation:

owo

Answer:

I cant tell you the answer but think of this formula.

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf y-7= -2 (x-4)}}\)

Step-by-step explanation:

We have a point and the slope, so we can use the point-slope formula.

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is the point the line passes through.

We know the slope of the line is -2 and the point it passes through is (4, 7).

Substitute the values into the formula.

\(y-7= -2 (x-4)\)

We are asked to write the equation in point-slope form, so this is our final answer.

The equation of the line in point-slope form is: y-7= -2 (x-4)

The resultant of the given forces using the graphical method is approximately 18.2 N, directed approximately 23° south of east.

To find the resultant and direction of the given forces using the graphical method, we can represent each force vector as an arrow in a coordinate system.

First, we represent F1 = 20 N, 30° NE by drawing an arrow with a magnitude of 20 N and an angle of 30° measured from the northeast direction.

Next, we represent F2 = 15 N, 50° NW by drawing an arrow with a magnitude of 15 N and an angle of 50° measured from the northwest direction.

Finally, we represent a force of 10 N, south by drawing an arrow pointing downwards with a magnitude of 10 N.

To find the resultant, we can place the tail of each arrow at the head of the previous arrow.

The resultant is then the vector that connects the tail of the first arrow to the head of the last arrow.

We can measure the magnitude of the resultant vector using a ruler and determine its direction using a protractor.

By measuring the magnitude and direction of the resultant vector, we can determine the overall strength and direction of the combined forces acting on the object.

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Answer: a) \(4\frac{3}{5}\)

              b) \(3\frac{1}{6}\)

Step-by-step explanation: I separately wrote down the steps and explanation please refer to the explanation I wrote down for better understanding.

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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If you buy your steak at SuperGrocery A instead of SuperGrocery B, you would save approximately $4.45 per pound.

To determine how much you would save per pound by buying steak at SuperGrocery A instead of SuperGrocery B, we need to calculate the cost per pound at each store and compare them.

First, let's calculate the cost per pound at SuperGrocery A. We have the table:

Pounds (x): 1.5, 2.5, 4, 5

Total Cost (y): $7.91, $13.18, $21.08, $26.35

To find the cost per pound, we divide the total cost by the pounds:

Cost per pound at SuperGrocery A:

1.5 pounds: $7.91 / 1.5 = $5.27 per pound

2.5 pounds: $13.18 / 2.5 = $5.27 per pound

4 pounds: $21.08 / 4 = $5.27 per pound

5 pounds: $26.35 / 5 = $5.27 per pound

Now, let's consider SuperGrocery B with the equation y = 9.72x, which represents the total cost in dollars and cents for z pounds of steak.

To find the cost per pound at SuperGrocery B, we substitute x = 1:

Cost per pound at SuperGrocery B:

y = 9.72(1) = $9.72 per pound

To calculate the savings per pound, we subtract the cost per pound at SuperGrocery A from the cost per pound at SuperGrocery B:

Savings per pound = Cost per pound at SuperGrocery B - Cost per pound at SuperGrocery A

Savings per pound = $9.72 - $5.27 = $4.45

Therefore, if you buy your steak at SuperGrocery A instead of SuperGrocery B, you would save approximately $4.45 per pound.

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The probable question may be:

Rashaad was comparing the price of steak at two stores. The equation y = 9.72x represents the total cost, in dollars and cents, y, that it costs for z pounds of steak at SuperGrocery B. The table below represents the total cost, in dollars and cents, y, that it costs for a pounds of steak at SuperGrocery A.

SuperGrocery A

Pounds (x)  1.5,2.5,4,5.

Total Cost (y) $7.91,$13.18,$21.08,$26.35.

How much would you save, per pound, if you buy your steak at SuperGrocery A, rather than SuperGrocery B?

Answer:

i got 19.625 if you round it you should get either 20 or 19.6

Step-by-step explanation:

if im wrong sorry