The graph of the quadratic function r is shown on
the grid. If v(x) = x^2 and w(x) = v(x) + n, what is
the value of n?

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

\(\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.\)

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

\(\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.\)

Simplify the equations

\(\left \{ {{-5=-5} \atop {-1=-1}} \right.\)

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

Answer:

To determine the number of sheets of cardboard in a stack, we need to use the information given in the problem.

We know that each sheet of cardboard is 1 inch thick, and 16 sheets are stacked on top of each other in packages. The height of each stack is 21 inches.

Using the model of a ruler, we can divide the height of the stack (21 inches) by the thickness of each sheet (1 inch) to find the number of sheets in the stack.

21 ÷ 1 = 21

So, there are 21 sheets of cardboard in a stack.

To write an expression that can be used to determine the number of sheets of cardboard in a stack, we can use:

Number of sheets = height of stack ÷ thickness of each sheet

Or, substituting the given values: Number of sheets = 21 ÷ 1 = 21

This expression is simply a representation of the model we used earlier. It shows that we can determine the number of sheets in a stack by dividing the height of the stack by the thickness of each sheet. In this case, the expression yields the same result as the model, which is 21 sheets.

The total change in the number of bushels he has for sale after 7 days = 116.2

In this question,

A farmer sells an average of 16 3/5 bushels each day.

We write above improper fraction 16 3/5 in proper fraction as 83/5

And the decimal form of given fraction 83/5 is:

83/5 = 16.6

After 7 days, he would sold (16 3/5) × 7 bushels.

We simplify an expression (16 3/5) × 7

(16 3/5) × 7 = 16.6 × 7

                  = 116.2

As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.

Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2

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Answer:

y(x)=4*x^2+8*x+-3

y(x)=4*(x^2+2*x+-3/4) ( Factor out )

y(x)=4*(x^2+2*x+(1)^2+-1*(1)^2+-3/4) ( Complete the square )

y(x)=4*((x+1)^2+-1*(1)^2+-3/4) ( Use the binomial formula )

y(x)=4*((x+1)^2+1*-7/4) ( simplify )

y(x)=4*(x+1)^2+-7 ( expand )

Step-by-step explanation:

hope this helps:)

Answer:

y=4(x+1)^2 -7

Step-by-step explanation:

If you’re having trouble converting these equations into vertex form I suggest using math-way. com. It is extremely helpful for me when I’m in math class

Step-by-step explanation:

The answer is

Distance is 42000 kmph

The distance the rocket has traveled after 1 hour with a speed of 700km/hour is 700 km.

Given,

A rocket is launched from the launch pad at a speed of 700 km/hr.

We need to find how far will the rocket has traveled after 1.0 hr.

Speed is the ratio of distance per time.

Speed = Distance /Time

Its unit is km/hour or m/second.

We have,

Speed = 700 km/h

Distance = D

Time = 1 hour

From the speed formula:

Speed = Distance / Time

700 = Distance / 1

700 km / hour x 1 hour = Distance

Distance = 700 km

Thus the distance the rocket traveled after 1 hour with a speed of 700km/hour is 700 km.

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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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Among the three variants of the SPI (Specific, Precise, and Impression) model, the Specific model exhibits the best flexibility, while the Impression model demonstrates the best optimization.

The Specific model excels in flexibility because it focuses on generating highly specific responses. It tends to produce detailed and accurate information based on the given input.

This flexibility allows users to obtain precise answers to their queries, making it particularly useful for tasks requiring specific knowledge, such as providing instructions, explaining concepts, or offering specific recommendations.

The Specific model's ability to generate focused responses enhances its flexibility for various use cases.

On the other hand, the Impression model stands out in optimization. It excels at generating responses that are more creative, imaginative, and subjective.

It has been optimized to prioritize generating impressive or entertaining output. This model is particularly suited for tasks that require engaging and captivating content, such as storytelling, generating ideas, or creative writing.

The Impression model's optimization focuses on generating outputs that leave a lasting impression on the audience, making it the best choice for such scenarios.

In summary, while the Specific model offers the best flexibility by providing specific and detailed information, the Impression model shines in optimization, generating impressive and captivating responses.

The choice between the two depends on the specific requirements of the task at hand, whether it demands precision or creativity.

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Answer:

The length of rectangle is 78 and width is 46

Step-by-step explanation:

Let l be the length of rectangle and w be the width of rectangle

Then according to given statement

"The length and width of a rectangle  added together is 124"

\(l+w = 124\)  Eqn 1

And

\(l-w = 32\)    Eqn 2

The equation form a system of linear equation in two variables. We can use different methods to solve he system.

We will use the elimination method

Adding equation 1 and equation 2

\(l+w+l-w = 124+32\\2l = 156\\\frac{2l}{2} = \frac{156}{2}\\l = 78\)

Putting l = 78 in equation 1

\(78+w = 124\\w = 124-78\\w = 46\)

Hence,

The length of rectangle is 78 and width is 46

The DTKF equations for the given linear dynamic system are not the same as in the Gallager problem.

The DTKF (Discrete-Time Kalman Filter) equations are used for estimating the state of a dynamic system based on observed measurements. In the given system, the state equation is In = Xn-1, and the observation equation is Yn = X + 20n.

The DTKF equations consist of two main steps: the prediction step and the update step. In the prediction step, the estimated state and its covariance are predicted based on the previous state estimate and the system dynamics. In the update step, the predicted state estimate is adjusted based on the new measurement and its covariance.

For the given system, the DTKF equations can be derived as follows:

Prediction Step:

Update Step:

These DTKF equations are specific to the given linear dynamic system and differ from those in the Gallager problem, as they depend on the system dynamics, observation model, and noise characteristics.

The DTKF equations for the given linear dynamic system are not the same as in the Gallager problem. Each dynamic system has its own unique set of equations based on its specific characteristics, and the DTKF equations are tailored to estimate the state of the system accurately.

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Answer:

54 votes

Step-by-step explanation:

John was the winner

so: 60% of 90 = 54

10% = 9

Answer:

Female: 93/328

Adult: 103/328

Baby: 61/328

Step-by-step explanation:

71 + 93 + 103 + 61 = 328

Male: 71/328

Female: 93/328

Adult: 103/328

Baby: 61/328

A parabola has an axis of symmetry y =3 and passes through the point (2, 1), another point that lies on the graph of the parabola is (2,5).

Axis of symmetry:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

Given,

Axis of Symmetry y = 3.

One point = (2,1)

Here we need to find the another point that lies on the graph of the parabola.

Use the axis of symmetry.

Point given (2,1) is 2 units away from that axis, lower.

=> 1 + 2 = 3

Take two units higher,

=> 3 + 2 = 5

and is the another point (2,5), on the same parabola.

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According to the given statement If each can sold in accounted for as to its cost Last in first out.

The average is determined by adding together all of the numbers as well as dividing the total by the total number of figures provided. It represents the midpoint of the supplied data set. The numerical number that may display a lot of facts is the average value. We constantly encounter the average computation in our daily lives.

The four sorts of average that we recognize are mean, mode, median, and range. Although the others are our most popular "measures of central tendency," range is actually a measure of spread or dispersion.

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Answer:

the 2 banks are more than 7.31

Answer: 10.24

Step-by-step explanation:

Broke up top into trapezoid, then another trapezoid and 3 triangles

A1 = 2.75

A2=3.5

A3=1

a4=2

a5=1

Answer:x would be 8 because 348 divided by 6 equals a quotient of 58

Step-by-step explanation:

Answer:

x\(\geq \\\)8

Product of the given expression -2.8 (-1.7) is equal to 4.76.

As given in the question,

Given expression is equal to :

-2.8 (-1.7)

There are two numbers -2.8 and -1.7.

Both the numbers are negative.

Multiply negative to a negative number is positive number.

Result of -2.8 and -1.7 is positive number.

Required product of the given expression is equal to :

-2.8 (-1.7)

= (-1) × (2.8) × (-1) × (1.7)

Multiply (-1) to (-1) is equal to positive (1) :

= 2.8 × 1.7

= 4.76

Therefore, product of the given expression -2.8 (-1.7) is equal to 4.76.

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Answer:55.3 miles :)

Step-by-step explanation:

Answer:

1) 2<x<10 (the first choice)

2) 17<x<40 (the first choice)

3) x<-1 or x>2 (the second choice)

Step-by-step explanation:

1) 2<x<10...this is another way of representing x<10 and x>2 in an "and" inequality. If you look at 2<x<10 from left to right, it says 2 is less than x and x is less than 10.

2) 17<x<40...this represents x>17 and x<40 in an "and" inequality as well. If you look at 17<x<40, it reads 17 is less than or equal to x and x is less than 40.

3) x<-1 or x>2...the signs are greater than or equal to because the dots are closed on the number line. Also, this is not an "and" inequality. This is actually an "or" inequality. You can mainly tell because the lines are shaded opposite ways and do not intersect.

I hope this helped!! Good luck on your assignment and have a wonderful day :3

The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.

The total area of the pool and walk is given by:

Total area = (length + 2(4)) × (width + 2(4))

Total area = (x + 6 + 8) × (x + 4)

Total area = (x + 14) × (x + 4)

The area of the pool itself is given by:

Pool area = length × width

Pool area = x(x + 6)

Pool area = x² + 6x

We're told that the total area is 272 more than the area of the pool:

Total area = Pool area + 272

(x + 14) × (x + 4) = x² + 6x + 272

Expanding the left side of the equation:

x² + 18x + 56 = x² + 6x + 272

Simplifying the equation:

12x = 216

Solving for x:

x = 18

So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

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Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?

Answer:

try to solve 4y-2=18 which equals 5

then solve 2x+8=22 which equals 7

See attached picture

Answer:

Step-by-step explanation:

You want a box-and-whisker plot for the given data list.

A box-and-whisker plot is a visual representation of the 5-number summary of a data set. Those five numbers are ...

A quartile value is the middle element of the list. If there is no middle element, it is the average of the two elements that are either side of the middle of the list.

The Q1 and Q3 quartile values are the middle elements of the half-lists that are formed when the median (Q2) is removed from the full list.

The first attachment shows where the 5-number summary values are found in the sorted list.

The second attachment shows the box-and-whisker plot for the 5-number summary of this data set.

The third attachment shows the construction of a box-and-whisker plot. (Often, the horizontal line does not extend through the middle of the box.)

if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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Complete Question

Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest such bag on the market if its mean breaking strength is at least 50 pounds. In order to provide statistical evidence that the mean breaking strength of the new bag is at least 50 pounds, the manufacturer randomly selects a sample of n bags and calculates the mean _ x of the breaking strengths of these bags. If the sample mean so obtained is at least 50 pounds, this provides some evidence that the mean breaking strength of all new bags is at least 50 pounds. Suppose that (unknown to the manufacturer) the breaking strengths of the new 30-gallon bag are normally distributed with a mean of m 5 50.6 pounds and a standard deviation of s 5 1.62 pounds. a Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n=4

Answer:

\(X=(48.98,52.22)\)

Step-by-step explanation:

From the question we are told that:

Sample Mean \(\mu=50.6\)

\(\sigma =1.62\)

Sample size \(n=4\)

Level of significance \(\alpha 100-95.4=>4.56\)

Therefore

\(Z-value( \alpha/2)=2\)

Generally the equation for Interval is mathematically given by

\(X=\mu \pm z(alpha/2)* \frac{sd}{sqrt(n)}\)

\(X= 50.6 \pm z(0.0456/2)* \frac{1.62}{sqrt(4)}\)

\(X=50.6 \pm 2*\frac{1.62}{2}\)

\(X=(48.98,52.22)\)

Answer: 36

Step-by-step explanation: Multiplication

Answer:

4ab = 5bc is the answer

Step-by-step explanation:

Answer:

12ab - 3bc.

Step-by-step explanation:

I am assuming you want to add these.

6ab + 8ba + (-2ab) + (-3bc)

= 6ab + 8ab - 2ab - 3bc

= 14ab - 2ab - 3bc

= 12ab - 3bc.

The expression which represents the profit is 33x + 390, the correct option is D.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The polynomial= 2x3 + 30x – 130

The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.

Now,

To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:

profit = revenue - cost

profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)

profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520

profit = 33x + 390

Therefore, the expression will be 33x + 390.

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Answer: \(\dfrac{1}{220}\)

Step-by-step explanation:

Given

There are 3 marbles of red, blue, green and orange

Total marbles are 12

No of ways of choosing 3 green marbles out of 3 green marbles is \(^3C_3\)

Total no of ways of selecting 3 marbles out of 12 are \(^{12}C_3\)

So, the probability is

\(\Rightarrow P=\dfrac{^3C_3}{^{12}C_3}=\dfrac{1\times 3\times 2\times 1}{12\times 11\times 10}\\\\\Rightarrow P=\dfrac{1}{220}\)

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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