Suppose that 16 inches of wire costs 64 cents.
At the same rate, how much (in cents) will 44 inches of wire cost?
cents
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The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

35%

Step-by-step explanation:

He made 7 out of 20 goals

7/20=0.35=35%

The probability as a percentage is  20%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Out of the five Trials,

We can see that only one of them has Isaiah making both penalty kicks (TH HH HH TT).

Therefore, the probability that Isaiah makes both penalty kicks is 1/5 or 0.2.

Converting to a percentage,

0.2 x 100

= 20%

The probability is 20%.

Thus,

The probability as a percentage is  20%.

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The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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The minimum value of Jeri Dammers' total deductions is $200.68.

Based on the given information, we can calculate the total deductions for Jeri Dammers as follows:

Social Security: Jeri pays 6% of the first S$90,000 of her gross pay towards Social Security. As her gross pay is only $735.00, her Social Security deduction will be:

Medicare: Jeri pays 1.45% of all her income towards Medicare. As her gross pay is $735.00, her Medicare deduction will be:

Federal Income Tax: To calculate the federal income tax, we need to refer to the tax tables provided by the IRS. As the gross pay is only $735.00, Jeri's federal income tax deduction will be very minimal or possibly none.

State Tax: Jeri pays 2% of her gross pay towards state tax. As her gross pay is $735.00, her state tax deduction will be:

Local Tax: Jeri pays 1.5% of her gross pay towards local tax. As her gross pay is $735.00, her local tax deduction will be:

Medical: Jeri has a deduction of $32.00 towards medical expenses.

Union Dues and Others: No information is given about Jeri's union dues or other deductions.

Therefore, the total deductions for Jeri Dammers will be:

We cannot calculate the exact value of Total Deductions without information about Union Dues and Others.

However, the minimum value of Total Deductions would be:

= $44.10 + $10.65 + $88.20 + $14.70 + $11.03 + $32.00

= $200.68

Therefore, the minimum value of Jeri Dammers' total deductions is $200.68.

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See full text below

Find the total deduction The person pays Social Security 6 percent of the first S90,000. Medicare is 1.45 percent of all income Use the tax tables for federal tax The state tax is 2 percent of gross pay and the local tax is 1.5 percent of gross pay. (Remember to add the Medical; Union Dues, and Others for total deduction: FIT Federal Income Tax, FICA Social Security) .4. Jeri Dammers is married and claims 3 allowances.

Dept

Employee

Check Number -3205

Gross Pay -$735.00

Net Pay

44B Jeri Dammers

Tax Deductions

Other Deductions

FIT

FICA

Medicare

State

Local

Medical -32.00

Union

Dues

Others

Answer: The answer would be 2 miles a minute.

Step-by-step explanation: Simply divide the miles by the minutes.

Missile's rate of change is 2 mi/ min

The rate of change in this instance is the speed that the missile is going at because rate of change is used to calculate how fast something is changing in respect to time.

Speed = Distance / Time

Distance = 20 miles

Time = 10 minutes

Rate of change:

=  20 / 10

= 2 miles per minute

The rate of change is therefore, 2 mi/ min

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

A' (2,-1) B' (4.-1) C' (1,-4)

Step-by-step explanation:

Answer:

(-2,-1)

Step-by-step explanation:

Answer:

help with what?

Step-by-step explanation:

Answer:

2x+6

Step-by-step explanation:

Do you mean simplifying the expression?

Distribute 2 to both of the numbers in the parentheses (multiply)

2 * x = 2x

3*2 =6

2x+6

Answer: P( -3≤ X ≤ 0 ) = 0.4987

Step-by-step explanation:

a. 0.1587 - The probability that Z is less than -1.28 (to 4 decimals)

b. 0.8413 - The probability that Z is greater than -1.28 (to 4 decimals)

c. 0.9332 - The probability that Z is less than 1.56 (to 4 decimals)

d. 0.9938 - The probability that Z is greater than -2.33 (to 4 decimals)

Note: To calculate these probabilities, we need to use a standard normal table or a calculator with the cumulative distribution function (CDF) of the standard normal distribution.

The cumulative distribution function (CDF) is a mathematical function that describes the probability that a random variable is less than or equal to a certain value. In other words, it gives the cumulative probability of the random variable taking on a value less than or equal to a specified value.

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The total area of the table runner is 858 square inches

Given that Table Runner has an overall length of 72" and a width of 13",

Area = length ×width

=60×13

=780 sq in

Area of triangle = 1/2×base ×height

=1/2×13×6

=39

There are two triangles so area is 2(39) = 78

Total area is 936+78

=858 square inches

Hence, the total area of the table runner is 858 square inches

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Answer:

No, this is not showing good citizenship.

Step-by-step explanation:

I said no because Larry is assuming that the janitor will pick it up for him, which is only giving the janitor more work to do. So Larry's action, therefore, does NOT show good citizenship. UwU

Answer:

(2,2)

Step-by-step explanation:

The solution to a system of equations is the point where they intersect. In this equation they intersect on the point (2,2).

the answer is:

The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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Answer:

The final price to be paid after the 2% discount has been made will be $ 16,645.30.

Step-by-step explanation:

Since there is a 2% discount on the price of the Honda Shadow in the event that the dealer pays Honda within 15 days, and that after a rebate the price of the vehicle is $ 16,985, to obtain the value of the discount and the final amount to be paid must be calculated as follows:

16,985 x 2/100 = X

33,970 / 100 = X

339.70 = X

Thus, the discount to be made will be $ 339.70, with which the final price to be paid after the 2% discount has been made will be $ 16,645.30.

Answer: A. 1.2

Step-by-step explanation:

The principal, real, root of:

2^√1.44

=1.2

All roots:

1.2

−1.2

1.44 is not a perfect square

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

The total amount that the person with base salary 42000; total sales 175000; commission 4% gets is $51000.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. In this case, the percentage of commission is given as 4%.

The commission will be:

= Percentage × Amount

= 4% × 175000

= 7000

Therefore, the total amount that the person gets will be:

= Salary + Commission

= 42000 + 7000

= $51000

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Answer:

c) y=x+2

Step-by-step explanation:

find slope and y-intercept then write in y=mx+b form and see which one matches

Answer:

Acquired resources

Step-by-step explanation:

Acquired resources

Answer:(0,0) is the x and y intercept

Of the function

Step-by-step explanation:

They both meet at the origin (0,0)

The true statement is (d) (0, 0) is the x- and y-intercept of the function.

The missing graph is added as an image

From the graph, we can see that the function passes through the point:

(x,y) = (0,0)

This means that (0, 0) is the x- and y-intercept of the function.

Hence, the true statement is (d)

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The cosine value is given as follows:

\(\cos{\theta} = \frac{4\sqrt{23}}{23}\)

The tangent value is given as follows:

\(\tan{\theta} = -\frac{\sqrt{7}}{4}\)

First we must obtain the secant value, according to the identity presented as follows:

\(\sec^2{\theta} = 1 + \tan^{2}{\theta}\)

Replacing the tangent into the expression, we have that:

\(\sec^2{\theta} = 1 + \frac{7}{16}\)

\(\sec^2{\theta} = \frac{23}{16}\)

\(\sec{\theta} = \frac{\sqrt{23}}{4}\)

The secant is positive, as the angle is in the fourth quadrant, where the cosine is positive.

The cosine is then given as follows:

\(\cos{\theta} = \frac{1}{\sec{\theta}}\)

\(\cos{\theta} = \frac{4}{\sqrt{23}} \times \frac{\sqrt{23}}{\sqrt{23}}\)

\(\cos{\theta} = \frac{4\sqrt{23}}{23}\)

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ANSWER

The vertex is (-7, 4)

EXPLANATION

We usually see the equation of a parabola with this form:

Where (h, k) is the vertex of the parabola.

But in this problem, the variables are changed, so we're looking for an equation like:

The vertex is also point (h, k).

To complete the square we have to see the terms that contain y: y² - 8y

We know that a perfect square has the form:

If the term that contains y with exponent 1 has a coefficient 8, then we can find the second number of the binomial for the perfect square:

let's not think of the third term just yet. For now we have to concentrate on the second term:

The second number for the perfect square is -4:

Now we have to put this inside the equation. Since now we have a third term that is 16 we have to subtract 16 so we keep the equation true. I'll replace y²-8y by (y-4)²-16:

We can add 4x on both sides so we have the x and y separate:

And finally we have to divide both sides by 4:

So in this case k = 4 and h = -7. The vertex is (-7, 4)

Answer:

haha

Step-by-step explanation:

first off thats not 50 points

Answer:

Step-by-step explanation For the first on 5 and -4 all u do is divide y over x so it wpuld be -4/5 which would be -0.8

just keep doing the process of dividing y over x

the second 1 would be 0/3 which is 0

just keep doing this process

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

64/100

Step-by-step explanation:

Answer: 16/25or64/100

Step-by-step explanation: 64/100 and divide it by 4 . To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary