Tiffany wants to buy the car from her mother now.(t=5)A fair price for the car will be $ in 5 years

The constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Here we can cancel both x term and y terms, lets choose x terms  and apply the elimination method

The coefficient of x in first equation is 5 and 12 in second equation

We have to make it same

Prime factorization

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Here we have eliminated x term

Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

i multipled 3/5 by 3 cause 20 times 3 is 60

By answering the presented question, we may conclude that (1/7) × 23 parallelograms inches x (1/6) inches Equals 23/42 inches to the power of 2

In Euclidean geometry, a parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram is a kind of quadrilateral in which both sets of opposite sides are parallel and equal. Parallelograms are classified into four types, three of which are unique. The four distinct shapes are parallelograms, squares, rectangles, and rhombuses. A quadrilateral is a parallelogram when it has two sets of parallel sides. The opposing sides and angles of a parallelogram are both the same length. The internal angles on the same side of the horizontal line are also angles. The total number of internal angles is 360.

Let's start with the formula for parallelogram area:

Base x Height = Area

We know that the parallelogram's height is 1/6 inch and its area is 23/42 inch to the power of 2. So, by plugging these values into the formula, we get:

23/42 inches multiplied by 2 Equals base x 1/6 inch

6 x 23/42 inches multiplied by 2 = base

(6/42) x 23 inches multiplied by 2 = base

base = (1/7) x 23 inches

Base x Height = Area

(1/7) × 23 inches x (1/6) inches Equals 23/42 inches to the power of 2

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Answer:

C). 38

Step-by-step explanation:

The range is the measurement of the difference between values in a data set. To find the range, subtract the lowest value from the greatest value.

2, 5, 19, 7, -5, 33, 26, 15, 12

-5, 2, 5, 7, 12, 15, 19, 26, 33

Lowest value,

⇒ -5

Greatest value,

⇒ 33

33 - (-5)

⇒ 38

Hence, the range/answer is 38. ⇒ option c.

Answer:

dfffdfsfsfsf

Step-by-step explanation:

Answer:

The area of tarpaulin is 1315.63 ft^2.  

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

\(L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft\)

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

Answer:

400pi square feet

Step-by-step explanation:

Find the radius

Find the slant height

Put it in the formula for a cone but take the circumference part out

Divide your answer by pi

The question asks for the closest answer

400pi square feet is the closest option to 418.17pi square feet.

Answer:

2x - 12

Step-by-step explanation:

Hello!

So, let's simplify using the distributive property.

Let's look at 3(2x - 4). You want to multiply 3 by every term inside the parentheses.

3*2x = 6x

3*-4= - 12

So now our expression looks like this:

(6x - 12) - 4x

Now we combine like terms. Our only like terms are 6x and -4x.

6x - 4x = 2x. So, our simplified expression is:

2x - 12.

Answer:

800

Step-by-step explanation:

32mm=1km

32 x 25= 800

800=25km

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Answer: See explanation

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.

Triangle inequality: 1 < x < 7

Hope that helped!

The smallest positive integer value of n for which the given expression is real is n = √3.

The problem involves a complex number in the form (1 + √(3)i)ⁿ₂. Here, i represents the imaginary unit, which is defined as the square root of -1. The expression inside the brackets can be expanded using the binomial theorem, which gives:

\((1 + \sqrt{(3)}i)^{ n2} = 2^ {n2}(e^{i\pi_3n2})\)

where e is the base of the natural logarithm and π is pi, the mathematical constant equal to the ratio of the circumference of a circle to its diameter.

To do this, we can use the fact that the imaginary part of the expression is given by the sine of the argument of the exponential term, which is π/3 times n2. Therefore, we need to find the smallest positive integer value of n2 for which sin(π/3n2) = 0.

The sine function has zeros at integer multiples of π, so we need to find the smallest positive integer value of n2 for which π/3n2 is an integer multiple of π.

This is because n2 must be a multiple of 3, and the smallest positive integer whose square is a multiple of 3 is √3.

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Answer:

D

Step-by-step explanation:

Which values are solutions to > 7?

basically every number that's higher than 7.

so it's

8 and 11

Answer:

x=113 degrees

Step-by-step explanation:

The prime factors of 87 are 3 and 39. This can be found out by using prime factorisation method.

An integer that evenly splits a number, leaving no remainder, is referred to as a factor. Using division principles and divisibility rules, one can identify a number's factors.

The numbers that divide 87 without leaving a remainder are known as the factors of 87. In other terms, we can say that it will be completely divided by the factors of 87.

Although 87 can be divided into positive and negative components, it cannot be divided into decimals or fractions. The result of splitting 87 by its factor yields a quotient that is also a factor of 87.

A factor tree can be used to find out the prime factors of 87. It can be written as,

87 = 3 × 29

Consequently, 3 and 29 are the prime factors of 87.

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Answer:

3.75

Step-by-step explanation:

the unit range is 610 so 2287.5/610

Answer:

  yes

Step-by-step explanation:

You want to know if the equation y = -6/5x represents direct variation.

The equation of direct variation is ...

  y = kx . . . . for a non-zero constant k

Your equation has k = -6/5, so it represents direct variation.

__

Additional comment

The sign of the constant of proportionality (k) is irrelevant when considering whether the equation is or is not direct variation.

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

it's more than 90°

The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

The exact length of the curve described by the parametric equations x = 8 + 3t², y = 3 + 2t³, for 0 ≤ t ≤ 2, is 2√5 - 2.

To find the exact length of the curve described by the parametric equations, we can use the arc length formula for parametric curves:

L = ∫[a,b] √[(dx/dt)² + (dy/dt)²] dt

Given the parametric equations x = 8 + 3t² and y = 3 + 2t³, we need to find dx/dt and dy/dt and then evaluate the integral over the given range 0 ≤ t ≤ 2.

First, let's find dx/dt:

dx/dt = d/dt (8 + 3t²)

       = 6t

Next, let's find dy/dt:

dy/dt = d/dt (3 + 2t³)

       = 6t²

Now, let's substitute these derivatives into the arc length formula and evaluate the integral:

L = ∫[0,2] √[(6t)² + (6t²)²] dt

  = ∫[0,2] √(36t² + 36t⁴) dt

  = ∫[0,2] √(36t²(1 + t²)) dt

  = ∫[0,2] 6t√(1 + t²) dt

To evaluate this integral, we can use a substitution. Let u = 1 + t², then du = 2t dt. Substituting these values, we get:

L = ∫[0,2] 6t√(1 + t²) dt

  = ∫[1,5] 3√u du

Integrating with respect to u:

L = [2√u] | [1,5]

  = 2√5 - 2√1

  = 2√5 - 2

Therefore, the exact length of the curve described by the parametric equations x = 8 + 3t², y = 3 + 2t³, for 0 ≤ t ≤ 2, is 2√5 - 2.

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Answer:

5

Step-by-step explanation:

When you divide 25/5 the answer is 5 dollars per store

Answer:

5

Step-by-step explanation:

25 divided by 5 is 5

he spends 5 in each store

To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.

To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.

We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.

Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).

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Full Question ;

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2

the sWe have the next quadratic formula:

Use the form x²+bx+c

Where:

a=1

b=-12

c=85

Then,

Hence, the correct answer is option A.

1. Total revenue formula: Rx = 10,000x^(3/2)/(2+√x). 2. Marginal revenue formula: MR(x) = R′(x). 3. MR(9) calculation.


To find the marginal revenue (MR) and evaluate MR(9), we first need to understand the total revenue formula and how to calculate the derivative of this formula.

1. Total revenue formula (Rx):
The total monthly revenue from the sale of x automobiles of a certain model is given by:
Rx = 10,000x^(3/2)/(2+√x)
2. Marginal revenue formula (MR):
The marginal revenue (MR) is calculated by taking the derivative of the total revenue formula, Rx.
3. MR(9) calculation:
To find MR(9), we substitute x = 9 into the derivative formula of Rx.

Now, let's calculate the MR(9) step by step:
Step 1: Find the derivative of Rx:
To find the derivative, we need to apply the power rule and chain rule.
The derivative of Rx with respect to x is given by:
R′(x) = (d/dx) [10,000x^(3/2)/(2+√x)]
Step 2: Simplify the derivative:
To simplify the derivative, we can use the quotient rule and the power rule.
R′(x) = [10,000 * ((2+√x) * (3/2) * x^(1/2)) - (10,000 * x^(3/2) * (1/2) * (√x))] / (2+√x)^2
Simplifying further:
R′(x) = [15,000x^(3/2) + 5,000x - 10,000x^(3/2)√x] / (2+√x)^2
Step 3: Calculate MR(9):
Substitute x = 9 into the derivative formula.
MR(9) = [15,000(9)^(3/2) + 5,000(9) - 10,000(9)^(3/2)√9] / (2+√9)^2
Simplifying:
MR(9) = [15,000(27) + 5,000(9) - 10,000(27)√9] / (2+3)^2
MR(9) = [405,000 + 45,000 - 270,000] / 25
MR(9) = 180,000 / 25
MR(9) = 7200
Therefore, MR(9) = 7200.

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Given that the mass of Fuji apples sold is 51 pounds more than the mass of Gala apples sold and that the ratio of the apples sold is 5:2 respectively, the mass of apples Harold sold in all is 119 pounds

A ratio is the expression of two numbers as an ordered pair such as a:b or a/b where b is a nonzero number

The question is a word problem that can be analyzed as follows;

The mass of Fuji apples for every 2 pounds of Gala apples = 5 pounds

Therefore, the ratio of the mass of Fuji apples sold to the mass of Gala apples sold last week is 5:2

The ratio of the story can therefore, be represented by the attached diagram, created with MS Excel

The mass of Fuji apples sold = 51 pound + The mass of Gala apples sold

Let x represent the mass of Fuji apples sold, we have;

The mass of Gala apples sold = x - 51

The total mass of the apples sold = x + x - 51 = 2·x - 51

From the given ratio, we have;

\(\dfrac{x}{2\cdot x - 51} = \dfrac{5}{5+2} = \dfrac{5}{7}\)

7·x = 5 × (2·x - 51) = 10·x - 255

10·x - 7·x = 255

3·x = 255

\(x = \dfrac{255}{3} =85\)

x = 85

The mass of the Fuji apples sold, x = 85 pounds

The mass of Gala apples sold = 85 pounds - 51 pounds = 34 pounds

The sum of the mass of the apples sold = 85 pounds + 34 pounds = 119 pounds

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Given :

It is given that

To find

Explanation

In the given equation , substitute the value of x and y .

Answer

Hence the answer in simplest form is

Answer:

f(x)=19

Step-by-step explanation:

x=-5

f(x)=-3(-5)+4

f(x)=15+4

f(x)=19

I think this is how you do it, but I haven't done these problems in a while so I could be incorrect.