45. Reason in a video game, you must score
5,500 points to complete level 1. To move
through each additional level, you must
score an additional 3,250 points. What
number would you use as a when writing
an arithmetic sequence to represent this
situation? What would n represent? Write an
explicit formula to represent this situation.
Write a recursive formula to represent this
situation.

The system of equations has a unique solution when the determinant of the coefficient matrix is non-zero.

In this case, the coefficient matrix is:

|  0  1  2k |

|  1  2   6  |

|  k  0   2  |

The determinant of this matrix is given by:

D = 0(2(2) - 0(6)) - 1(1(2) - 6(k)) + 2k(1(0) - 2(2))

 = -12k + 12k

 = 0

When the determinant is zero, the system may have infinitely many solutions or no solution. Therefore, we need to investigate further to determine the values of k for which the system has a unique solution.

(b) To determine the values of k for which the system has no solution, we can check if the rank of the coefficient matrix is less than the rank of the augmented matrix. If the ranks are equal, the system has a unique solution. If the ranks differ, the system has no solution.

By performing row reduction on the augmented matrix, we find that the ranks of both the coefficient matrix and the augmented matrix are equal to 2. Therefore, for any value of k, the system has a unique solution.

In summary, for all values of the constant k, the given system of equations has a unique solution and does not have any solution.

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The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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The correct answer is C. open parenthesis negative infinity, -4 close parenthesis union open parenthesis -2, infinity close parenthesis.

Based on the description of the graphs of f(x) and g(x), the intervals in which both functions are increasing can be determined.

For function f(x), it is stated that it increases from the left, passes through (-5, -4), reaches a local maximum at (-4, 0), goes back down through (-3, -2) to a local minimum at (-2, -4), and then goes back up through (-1, 0) to the right.

For function g(x), it is mentioned that one piece of the rational function increases from the left in quadrant 2, passing through (-6, 2) and (-3, 5), and asymptotically approaches the line y = 1.

Another piece of the function is asymptotic to the line x = -2 and increases from the left in quadrant 3, passing through (-1, -3) and (2, 0).

To find the intervals where both functions are increasing, we need to identify the overlapping regions of increasing behavior for both functions.

Based on the given information, the only overlapping interval of increasing behavior for both functions is:

C. open parenthesis negative infinity, -4 close parenthesis union open parenthesis -2, infinity close parenthesis

This interval includes the range where function f(x) increases from the left and function g(x) increases from the left in quadrant 2 and quadrant 3.

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Answer:

Step-by-step explanation:

Do you mean that you want to create a distributive statement with 1/2 on the outside and a sum of 2 terms on the inside of a set of brackets? That's pretty wordy, but I mean something like

1/2 (x + a)

1/2*a = 3/5                  Multiply both sides by  2.

a = 2 * 3/5

a = 6/5

Answer

1/2 ( x + 6/5)

Answer: the answer is 46

Step-by-step explanation:

i added them all together

Answer:

739200

Forgive me if this is wrong

Step-by-step explanation:

This is hard math but I am going to help so

5 x 12 x 7 x 11 x 5 x 4 x 8

Answer:

5

Step-by-step explanation:

|x-3|+4

The minimum value that an absolute value can take is zero

0+4

4

The smallest value is 4

The answer must be 4 or greater

The only answer that is possible is 5

Answer:

6/32 or 3/16 chance

Step-by-step explanation:

Adding all of the marbles up we get our total, 32.

We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.

Answer:

6/32 or u can simplify it to 3/16

Plzzzzz give me Brainliest!!!!!  

Answer:

Step-by-step explanation:

357x

Answer:

Tacos for adults: 13*3

Tacos for children: 17*1

Total: 39+17

=56

And in each package there will be 8 tacos

So, 56/8 = 7 = No. of tacos needed.

So the corrrect answer is A 7, because (13 x 3 + 17) + 8 = 7

I'm not to sure I can help u on that one I'm still in class:)

General form y= ax^2+bx+c

standard form y = a(x-h)^2+k

where

(h,k)= vertex = (7,2)

Since the zero are at -1 and 15 we have the points

(-1,0) and (15,0)

We will use one of the points (-1,0) and the vertex in the general form:

0= a(-1-7)^2+2

0= a(-8)^2+2

0= a64+2

-2 =a64

-2/64 =a

-1/32 =a

y= -1/32 (x-7)^2+2

y =-1/32 (x-7)(x-7)+2

y= -1/32 (x^2-14x+49)+2

y= -1/32 x^2+7/16x-49/32+2

y= -1/32x^2+7/16x-113/32

On solving the provided question, we can say that Volume of cuboid - L X B X H=> volume = (x+6)*(x-2)*(x-1) => \(V = x^3 + 3x^2 - 16x + 12\)

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

The dimensions are:

Length =(x + 6), Width = (x - 2) and Height = (x -1)

Volume of cuboid - L X B X H

volume = (x+6)*(x-2)*(x-1)

\(V = (x+6)(x^2 - 3x +2)\)

\(V = x^3 - 3x^2 + 2x + 6x^2 - 18x + 12\)

\(V = x^3 + 3x^2 - 16x + 12\)

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer: D. 5 > x > 1

1 < 3x -2 < 13

<=> 3 < 3x < 15

<=> 1< x < 5

Step-by-step explanation:

x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 1 < 3x-2 < 13

One less than three times of x minus two less than thirteen.

We need to find the solution of the inequality.

Let us divide the given inequality into two parts

3x-2>1 and 3x-2<13

For first inequality

3x-2>1

3x>3

x>1

and the second inequality  3x-2<13

3x<15

x<5

Hence, x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

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The first two numbers in each row of the relative frequency table represent the percentage of cars and trucks of a particular color out of the total number of vehicles in the parking lot.

To create a relative frequency table, we need to divide the frequency of each color by the total number of vehicles (65) and then multiply by 100 to get a percentage.

Relative Frequency Table by Color:

The first two numbers in each row must add up to 100% because we are calculating the relative frequency of each color with respect to the total number of vehicles (65). Therefore, the percentage of cars and trucks of each color must add up to 100% of that color's total frequency. The total row must also add up to 100% because it represents the entire population of vehicles.

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The given question is incomplete, the complete question is:

There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%. Frequency Table Type of Vehicle Color Car Truck Total Blue 22 14 36 Red 12 17 29 Total 34 31 65

Social security tax and Medicare taxes are $6621.6 and  $1812.5 respectively.

It is given that

Annual salary = $125,000

Maximum taxable earnings = $106,800

Social security tax= 6.2%

Medicare tax = 1.45%

The percentage is the value per hundred.

As it is given, Social security tax will be applied on maximum taxable earnings while Medicare tax will be applied on annual salary.

So, social security tax = 6.2% of $106,800 = 6.2*106800/100 = $6621.6

Medicare tax = 1.45% of  $106,800 = 1.45 * 125000/100 = $1812.5

Therefore, Social security tax and Medicare taxes are $6621.6 and  $1812.5 respectively.

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Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

Answer:

To find two numbers that add up to +29 and multiply to +100, you can use algebra. Let's call the two numbers "x" and "y". We know that:

x + y = 29

xy = 100

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for "y" in terms of "x" by subtracting "x" from both sides:

y = 29 - x

Now we can substitute this expression for "y" into the second equation:

x(29 - x) = 100

Expanding the left-hand side of the equation gives:

29x - x^2 = 100

Rearranging and simplifying gives a quadratic equation:

x^2 - 29x + 100 = 0

This quadratic can be factored as:

(x - 4)(x - 25) = 0

So the two numbers that add up to +29 and multiply to +100 are +4 and +25.

The the new mean price paid when the new musician is included is $82.31

What is the mean price?

The mean price is the sum of prices paid divided by the number of members that paid

Initially, for 25 members, the mean price was $82,hence, we can determine the total amount paid by the 25 members as shown thus:

$82=X/25

X=$82*25

X=$2050

Now, the inclusion of the new musician mean that total amount paid is now $2,140($2050+$90) and the number of members has increased to 26(25+1)

new mean price=$2140/26

new mean price=$ 82.31

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Answer:

Step-by-step explanation:

Slope of perpendicular lines = -1

y = 5/2x + 3

\(m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\\)

        \(m_{2}=\) -1 ÷ \(m_{1}\)

               = \(-1*\frac{2}{5}=\frac{-2}{5}\)

(-3 , -5)

Equation of the required line: y - y₁ = m(x -x₁)

                                                y - [5] = \(\frac{-2}{5}(x - [-3])\\\)

                                               \(y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\ y =\frac{-2}{5}x-\frac{6}{5}-5\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}\)

Answer:

p(2) = 0

Step-by-step explanation:

p(2) = 3(2)(2-2)

p(2) = 6(2-2)

p(2) = 6(0)

p(2) = 0

The three important post-implementation activities are evaluation and review, training and support, and maintenance and optimization.

After the implementation of a project or system, several important activities need to be carried out to ensure its success and ongoing effectiveness.
Evaluation and Review: This activity involves assessing the outcomes and performance of the implemented project or system. It includes gathering feedback from users, stakeholders, and other relevant parties to evaluate its functionality, efficiency, and user satisfaction. The evaluation helps identify any issues, shortcomings, or areas for improvement.
Training and Support: Post-implementation, providing adequate training and support to users is crucial. This involves conducting training sessions to familiarize users with the system's features, functionalities, and best practices. Ongoing technical support and assistance should be available to address user queries, troubleshoot issues, and ensure smooth operations.
Maintenance and Optimization: Regular maintenance is necessary to ensure the continued functioning and stability of the implemented project or system. This includes activities such as bug fixing, software updates, security patches, and performance optimizations. Monitoring system performance, collecting user feedback, and implementing necessary changes or enhancements contribute to the system's long-term success and efficiency.
By engaging in these post-implementation activities, organizations can effectively evaluate, support, and maintain the implemented project or system, maximizing its benefits and addressing any challenges that may arise.

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Answer:

3120

Step-by-step explanation:

5% of 2600 is 130, keep that in mind

15% of 2600 is 390, also keep that in mind

If you add 130+390, that equals 520, 520+2600 is 3120, your welcome

~Akmp10

10.0 x 0.01 0 . 1

----------------- = -------------

0.01 x 0.01 0 . 0001

Answer: Kari's cup can hold more juice

She holds 6.28 inches^3 more than Darius's cup.

Step-by-step explanation:

1: Find the volume that both cylinders hold:

Kari:

V=πr2h=π·1.52·8≈56.54867

Volume is about 56.55 inches^3

Darius:

V=πr2h=π·22·4≈50.26548

Volume is about 50.27 inches^3

2: Subtract both values:

56.55-50.27=6.28

3: Make your statement:

Kari's cup can hold more juice

She holds 6.28 inches^3 more than Darius's cup.

The probability of not rolling a 5 is \(\frac{1}{6}\)

For any event A, the probability of not getting A is given by

\(P(not A)= 1- P(A)\)

A number cube with six sides numbered 1 through 6 is rolled.

Then we have,

The total number of possible outcomes \(= 6\)

Also, it is given that, The probability of rolling a 5 is

P(rolling 5)=\(\frac{1}{6}\).

Now, the probability of not rolling a 5 will be

\(P(\text{not rolling a 5})= 1- P(\text{rolling 5})\)

\(=1-\frac{1}{6}\)

\(=\frac{5}{6}\)

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We have a purchase of $1,300,000.

The downpayment is $150,000 and the rest is financed.

We can calculate the amount that is owed as:

This amount will be paid in equal amounts, monthly for 20 years.

The interest rate is 16% compounded quarterly.

We have to start by converting the interest rate in a monthly-compounded equivalent rate.

A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:

We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.

We can calculate the amount he will pay each month as:

Answer: the monthly payment is approximately $15654.45.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

As we know that the sum of supplementary angles is 180°

Let's create an equation:

\(6x + 48 + 60 = 180\)

Calculate the sum

\(6x + 108 = 180\)

Move constant to R.H.S and change its sign

\(6x = 180 - 108\)

Calculate the difference

\(6x = 72\)

Divide both sides of the equation by 6

\( \frac{6x}{6} = \frac{72}{6} \)

Calculate

\(x = 12\)

Hope this helps...

Best regards!!

Answer:

x = 12

Step-by-step explanation:

The measures of supplementary angles have a sum of 180 deg.

6x + 48 + 60 = 180

6x = 72

x = 12