(v^(2)+11)/(v^(2)-3v-4) find all numbers for which the rational expression is undefined

Answer: 1.

There is only 1 triangle with the given parts a=9, b=4, c=6. This is because the lengths of the sides of a triangle are unique and determine the shape of the triangle.

To verify this, we can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, we can see that 9+4>6, 9+6>4, and 4+6>9, so the Triangle Inequality Theorem is satisfied and the triangle is valid.

Therefore, the answer is 1, as there is only 1 triangle with the given parts a=9, b=4, c=6.

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The expense function consists of two parts: the monthly payment for the car loan and the monthly cost of depreciation. The monthly payment can be calculated using the following formula: P = (r(PV)) / (1 - (1+r)^(-n)) = $1,062.66 per month. The depreciation function will be a straight line from $54,000 to $0 over a period of 10 years (or 120 months).

A depreciation function is a mathematical model that explains how the worth of an object decreases over time. It denotes the pace at which the worth of an asset depreciates over time.

In the given question,

a. The expense function will consist of two parts: the monthly payment for the car loan and the monthly cost of depreciation. The monthly payment can be calculated using the following formula:

[tex]P = (r(PV)) / (1 - (1+r)^(-n))[/tex]

where P is the monthly payment, r is the monthly interest rate (4.875%/12 = 0.40625%), PV is the present value of the loan (54,000 - 8,000 = 46,000), and n is the total number of payments (4 years x 12 months per year = 48). Plugging these values into the formula, we get:

[tex]P = (0.0040625(46000)) / (1 - (1 + 0.0040625)^(-48)) = $1,062.66 per month[/tex]

The depreciation function will be a straight line from $54,000 to $0 over a period of 10 years (or 120 months), so the monthly depreciation can be calculated as:

d = (54000 - 0) / 120 = $450 per month

Therefore, the expense function E(x) and depreciation function D(x) are:

E(x) = 1062.66 + 450x

D(x) = 450x

where x is the number of months since the car was purchased.

b. The graph of the expense function and depreciation function on the same axes is attached.

c. At the intersection point (around 66 months), the monthly loan payment becomes greater than the monthly depreciation cost, meaning that Winnie is paying more each month than the car is depreciating. After 66 months, the expense function is increasing faster than the depreciation function, so the total value of the car is decreasing rapidly. By the end of 120 months, the car will have depreciated to a value of $0 and Winnie will have paid a total of $62,719.20 in loan payments.

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Answer:

Step-by-step explanation:

OK so i'm not really good at this my self but i'll try my best to help you because I don't really do it for the points I do it because I like to help other people. OK so their blocks have a scale factor of k=4.5. OK so I don't know if this is right but what I would do is there are 8 sides to any cube and you have a scale factor of k=4.5 so I would multiply 4.5 and 8 to get a answer of 36ft.

Answer:

A. 5 cm

Step-by-step explanation:

AB = BC

x + 3 = 3x - 1

x - 3x = -1 - 3

-2x = -4

x = -4/-2

x = 2

BC = 3x - 1 = 3(2) - 1 = 6 - 1 = 5

Answer:

the nearest degree is a in the given figure

Answer:So the common factor of the numerator and denominator is (x+7)(x+7) or (x+7)^2, and the simplified expression is (x+1)(x−1).

Step-by-step explanation:

To find the common factor of the numerator and denominator of the expression (x+1)(x+7)(x+7)(x−1), we need to factorize it completely.

(x+1)(x+7)(x+7)(x−1) = (x+1)(x−1)(x+7)(x+7)

Now we can see that the common factor of the numerator and denominator is (x+7)(x+7) or (x+7)^2.

Therefore, we can simplify the expression by dividing both the numerator and denominator by (x+7)^2:

(x+1)(x−1)(x+7)(x+7)/(x+7)(x+7) = (x+1)(x−1)

So the common factor of the numerator and denominator is (x+7)(x+7) or (x+7)^2, and the simplified expression is (x+1)(x−1).

The value of function h(x)=5 at x tends to [tex]2^{+}[/tex] will be 5.

In mathematics, a functional equation is, in the broadest sense, an equation in which one or more functions appear as variable. A functional equation, however, is frequently used in a more narrow sense, where it refers to an equation that connects many values of the same function. For instance, the logarithmic functional equation effectively describes the logarithm functions.

log⁡(x×y)=log⁡(x)+log⁡(y).

lim h(x)=5 at x tends to [tex]2^{+}[/tex]

Given function is constant.

Value of function at x tends to [tex]2^{+}[/tex]will be 5

Hence, the value of h(x)=5 at x tends to [tex]2^{+}[/tex] will be 5

Graph of the given function is attached below;

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Using the circumference formula of the circle, we know that the area of the shaded region is 2,375 in.

The circumference of a circle is the distance encircling its edge.

The diameter of a circle is the distance measured through its center.

The radius of a circle is the distance from the center to any point on the edge.

The circumference of a circle or ellipse in geometry is its perimeter.

That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

The curve length around any closed figure is more often referred to as the perimeter.

So, the circumference of the inner circle is 125.6 inches.

Then, the radius would be:

C = 2πr

125.6 = 2πr

125.6 = 6.28r

r = 125.6/6.28

r = 20 in

r for the outer circle: r will be 20 + 14 = 34 in

Area of the inner circle:

A = πr²

A = π20²

A = 1256.63706

A = 1257 in

Area of the outer circle:

A = πr²

A = π34²

A = 3631.68111

A = 3632 in

Area of the shaded region:

3632 in - 1257 in = 2,375 in

Therefore, using the circumference formula of the circle, we know that the area of the shaded region is 2,375 in.

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Answer: they lost profit

Step-by-step explanation: because 5,700 is less then 6,000 so 6,000 - 5,700 = 300 so they lost $300

Roman painted 36 faces in total

What is 3D Geometry?

Three-dimensional figures, also known as 3D figures, are shapes that have three dimensions: length, width, and height.

They can be represented using a variety of geometric shapes, including cubes, cylinders, spheres, cones, and pyramids.

3D figures are commonly used in geometry, architecture, and engineering to model and design real-world objects.

They are distinguished from two-dimensional figures, which only have length and width, by the addition of the third dimension of height.

Examples of 3D figures in everyday life include buildings, furniture, and toys.

The total faces painted are:

36 faces, this was calculated by counting the number faces left open from all the sides.

For these kind of questions one need to visualize the given figure in a 3D space

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The equation representing filling y in x seconds is given as;

y = 0.8x. Option B

Algebraic expressions are defined as expressions that are composed of terms, variables, constants, coefficients and factors.

They are expressions that are also identified with some mathematical operations, they are;

From the information given, we have that;

24 jars are filled in 30 seconds

Then, for y number of jars of honey, we have x seconds

cross multiply the values, we have;

y = 24x /30

divide the values

y = 0. 8x

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Answer:

A megabyte is 1,000,000 bytes

A gigabyte is 1,000,000,000 bytes

A terabyte is 1,000,000,000,000 bytes

A kilobyte is 1,000 bytes

A byte has 8 bits

Answer:

X = 31 1/3

Step-by-step explanation:

3x - 4= 90

Step 1:

* opposite operation *

90 + 4 = 94

94/3 = 31 1/3

CHECK

*Replace x with your solution(s)*

3(3 1/3) - 4

3 x 31/3 = 94

94-4= 90

Answer: 8.5 by 11 inches.

Step-by-step explanation:

The standard 8.5″ x 11″ or Letter size so prevalent in full sized notebooks.

The LCM of the polynomials x² + 8x + 16 and x² + 11 x + 28 is (x + 4)(x + 4)(x + 7).

To determine the LCM of the given polynomials, we need to find the smallest polynomial that is a multiple of both  x² + 8x + 16 and x² + 11 x + 28.

First, let's factor the given polynomials:
x² + 8x + 16 = (x + 4)(x + 4)

x² + 11 x + 28 = (x + 4)(x + 7)

Now, we can see that the LCM of these two polynomials is the product of the highest power of each factor:

LCM = (x + 4)(x + 4)(x + 7)

So, the LCM of the given polynomials in factored form is (x + 4)(x + 4)(x + 7).

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Using the unitary method we found that the actual distance between Snohomish to Seattle is 32 miles.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. We typically utilise this technique for maths computations. This method allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.

Given,

The measured distance from Snohomish to Seattle on a road map = 3.2 inches

The scale of the map is given as:

  1 inch = 10 miles

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. The use of scale is necessary for generating an accurate map and makes it simple to establish the real size of any area on the map.

The actual distance can be found using the unitary method.

So it is given 1 inch on the map = 10 miles on the road

Then 3.2 inches on the map = 10 * 3.2 = 32 miles on the road

Therefore using the unitary method we found that the actual distance between Snohomish to Seattle is 32 miles.

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(9)/(8)+(4)/(-3) =  (5)/(-24)

A. To add the fractions (9)/(8) and (4)/(-3), we need to find a common denominator. The common denominator of 8 and -3 is -24.

So, we will multiply the numerator and denominator of the first fraction by -3 and the numerator and denominator of the second fraction by 8. This will give us:

(-3)(9)/(-3)(8) + (8)(4)/(8)(-3)

B. Simplifying the numerators and denominators gives us:

(-27)/(-24) + (32)/(-24)

Now, we can add the numerators and keep the common denominator:

(-27 + 32)/(-24)

Simplifying the numerator gives us:

(5)/(-24)

Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 1:

(5/1)/(-24/1)

This gives us the final answer of:

(5)/(-24)

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The inequality that represents how many DVDs Andy can rent in one month that satisfies this condition is 10 + .75n ≤ 25

The correct answer choice is option B

Cost of rental per month = $10

Additional cost = $0.75

Number of DVD's rented = n

Total amount Andy want to spend ≤ $25

The inequality:

10 + 0.75n ≤ 25

subtract 10 from both sides

0.75n ≤ 25 - 10

0.75n ≤ 15

divide both sides by 0.75

n ≤ 15 / 0.75

n ≤ 20

Ultimately, Andy can rent no more than 20 DVD's in a month.

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The point of intersection of the two lines is the fixed point or center of the point reflection.

A point reflection is a geometric transformation that maps a point across a fixed point called the center of reflection. The transformation involves reflecting the point across two intersecting lines that pass through the center of reflection. The point reflection can be thought of as a composite of two reflections, one across each line of reflection. The result is a mirror image of the original point that is equidistant from the center of reflection. The concept of point reflection is used in geometry to construct symmetrical figures and in crystallography to describe the symmetry of crystals.

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Answer:

Median is a middle number.

Step-by-step explanation:

You can use any set of number with 12 in the middle

14, 18, 12, 12, 17, 18

Middle numbers are third and forth number added together and divided by 2

Answer:

Step-by-step explanation:

rwerdfsdfsdfsdfsdfsdfsdfsdfsdfsd           56

The domain of the function f(x) = 4[(x-2)^(1/2)]-8 is the set of all real numbers x such that x ≥ 2.

This is because the expression (x-2)^(1/2) is only defined for x ≥ 2. The range of the function is the set of all real numbers y such that y ≥ -8. This is because the expression 4[(x-2)^(1/2)]-8 is always greater than or equal to -8 for all values of x in the domain.

So, the domain and range of the function f(x) = 4[(x-2)^(1/2)]-8 are:
Domain: [2, ∞)
Range: [-8, ∞)

In conclusion, the domain and range of the function f(x) = 4[(x-2)^(1/2)]-8 are [2, ∞), [-8, ∞).

The domain of the function f(x) = 4[(x-2)1/2]-8 is the set of all real numbers x such that x ≥ 2. This is because the expression (x-2)1/2 is only defined for x ≥ 2. The range of the function is the set of all real numbers y such that y ≥ -8. This is because the expression 4[(x-2)1/2]-8 is always greater than or equal to -8 for all values of x in the domain.

So, the domain and range of the function f(x) = 4[(x-2)1/2]-8 are:

Domain: [2, ∞)

Range: [-8, ∞)

In conclusion, the domain and range of the function f(x) = 4[(x-2)1/2]-8 are [2, ∞), [-8, ∞).

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When solving a polynomial equation by factoring, we can apply the zero-product property to the factors that are equal to zero.

The zero-product property states that if the product of two or more factors is equal to zero, then at least one of the factors must be equal to zero. For example, if (x-2)(x+3) = 0, then either (x-2) = 0 or (x+3) = 0.

In the case of a polynomial equation, we can apply the zero-product property to the factors that are equal to zero in order to find the values of x that make the equation true.

For example, if we have the equation x^2 - 5x + 6 = 0, we can factor the left-hand side of the equation to get (x-2)(x-3) = 0. We can then apply the zero-product property to find that either (x-2) = 0 or (x-3) = 0, which means that x = 2 or x = 3 are the solutions to the equation.

In summary, when solving a polynomial equation by factoring, we can apply the zero-product property to the factors that are equal to zero in order to find the values of x that make the equation true.

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Answer:

Step-by-step explanation:

Let [tex]l[/tex] be length, [tex]b[/tex] be breadth.

[tex]l=3b[/tex]   [tex](a)[/tex]                (the length is 3times the breadth)

[tex]2l+2b=40[/tex]   [tex](b)[/tex]         (perimeter is 40)

Now we must solve these to find [tex]l[/tex] and [tex]b[/tex]:

Substitute [tex](a)[/tex] into [tex](b)[/tex] :

[tex]2(3b)+2b=40[/tex]

[tex]6b+2b=40[/tex]

[tex]8b=40[/tex]

[tex]b=5cm[/tex]

Substitute [tex]b=5[/tex] into [tex](a)[/tex]:

[tex]l=3\times 5=15cm[/tex]

Find area:

[tex]A=lb=15 \times 3=45cm^2[/tex]

As a result, we can assume that the fast-food business added about 3,454 new outlets in 2005.

What are equations used for?

A mathematical equation, such as 6 x 4 = 12 x 2, states that two variables or values are equivalent. a meaningful noun. An equation is used when two or maybe more factors must be considered jointly in order to understand or explain the whole situation.

We can apply the following formula to find an exponentially model that matches the data:

y = abˣ

Where x is the length of time after 1988, y is the number of fresh restaurants that open each year, and a and b are undetermined constants.

We may use the information from the years 1988 and 1989 to get the constants a and b:

49 = ab⁰

81 = ab¹

As a result of the first equation, a = 49. When we put it in the second equation, we obtain this result:

81 = 49b¹

b = 81/49

The following is the exponentially model that best matches the data:

y = 49(81/49)ˣ

Since 2005 is 17 years after 1988, we need to determine the value of y when x = 17 in order to figure out the number of new eateries that debuted in 2005:

y = 49(81/49)¹⁷

y ≈ 3,454

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None of the given options represents an amount of money equivalent to fife tenths of a dollar.

What is Money?

In mathematics, money is a unit of measure used to represent the value of goods or services. It is typically denoted in a currency unit, such as dollars, euros, or yen, and is often used to express prices, wages, or financial transactions. Money is a form of quantitative data and can be manipulated using various mathematical operations, such as addition, subtraction, multiplication, and division.

Fife tenths of a dollar is equivalent to $0.50, since there are 10 tenths in a dollar.

The amount of money that the digit 5 represents $0.50.

Looking at the given options, the only option that contains a total value of $0.50 is option B:

1 dollar bill = $1.00

quarter = $0.25

dime = $0.10

nickel = $0.05

5 Pennies = $0.05

Adding these values together, we get a total of $1.45, which is more than $0.50. Therefore, option B is incorrect.

Option D contains a total value of:

10 dollar bill = $10.00

quarter = $0.25

5 nickels = $0.25

2 Pennies = $0.02

Adding these values together, we get a total of $10.52, which is more than $0.50. Therefore, option D is incorrect.

Option A contains a total value of:

5 dollar bill = $5.00

quarter = $0.25

dime = $0.10

2 nickels = $0.10

4 Pennies = $0.04

Adding these values together, we get a total of $5.49, which is more than $0.50. Therefore, option A is incorrect.

The only remaining option is option C, which contains a total value of:

Two 20 dollar bills = $40.00

10 dollar bill = $10.00

quarter = $0.25

dime = $0.10

2 Pennies = $0.02

Adding these values together, we get a total of $50.37, which is more than $0.50. Therefore, option C is also incorrect.

Thus, none of the given options represents an amount of money equivalent to fife tenths of a dollar.

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To find the probability that four out of 25 randomly selected students are asthmatic, we can use the binomial probability formula:

P(X = x) = (n choose x) * p^x * (1 - p)^(n - x)Where n is the number of trials (students), x is the number of successes (asthmatic students), and p is the probability of success (8.8% or 0.088).

Plugging in the given values, we get:
P(X = 4) = (25 choose 4) * 0.088^4 * (1 - 0.088)^(25 - 4) = 12,650 * 0.00005993 * 0.35178 = 0.0266
Therefore, the probability that four out of 25 randomly selected students are asthmatic is 0.0266, or 2.66%. Rounded to four decimal places, the answer is 0.0266.

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Answer:130

Step-by-step explanation:

2×5+3= 13

10×13=130

Answer:

130/5

Step-by-step explanation:

10x13=130

130/5

ghyhf f yyhgf

The probability of no oranges is 125/216.

The expected value of this experiment can be calculated by multiplying the probability of selecting each coin by its value, and then adding these products together.

First, let's find the probability of selecting each type of coin:

- The probability of selecting a quarter is 10/29 (since there are 10 quarters out of 29 total coins).
- The probability of selecting a dime is 10/29 (since there are 10 dimes out of 29 total coins).
- The probability of selecting a nickel is 2/29 (since there are 2 nickels out of 29 total coins).
- The probability of selecting a penny is 7/29 (since there are 7 pennies out of 29 total coins).

Next, let's multiply each probability by the value of the corresponding coin:

- The expected value from selecting a quarter is (10/29) * $0.25 = $0.0862
- The expected value from selecting a dime is (10/29) * $0.10 = $0.0345
- The expected value from selecting a nickel is (2/29) * $0.05 = $0.0034
- The expected value from selecting a penny is (7/29) * $0.01 = $0.0024

Finally, let's add these expected values together to find the overall expected value of the experiment:

$0.0862 + $0.0345 + $0.0034 + $0.0024 = $0.1265

So the expected value of this experiment is $0.1265, or $0.13 when rounded to the nearest cent.

As for the second part of the question, we can find the probability of three oranges by multiplying the probability of getting an orange on each dial:

(1/6) * (1/6) * (1/6) = 1/216

So the probability of three oranges is 1/216.

To find the probability of no oranges, we can multiply the probability of not getting an orange on each dial:

(5/6) * (5/6) * (5/6) = 125/216

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