Ms. D'Amico bought a car with a 20% down payment, which was 5,750. She will finance the rest of the car payments. What was the price of the car?

Yes, the claim is correct because √16 + π = 4 + π and  4 + π  is an irrational number

Rational numbers are numbers that can be expressed as the ratio of two integers while Irrational numbers cannot be expressed as the ratio of two numbers.

The sum of a rational and an irrational number is always an irrational number.

Example:

Consider a rational number: 4 and an irrational number: 2.7582...

When we add these two numbers, we get,

4 + 2.7582... = 6.7582....

Thus, it is clear that this sum is also an irrational number as the numbers after decimal are non-terminating and non-recurring.

Thus, the correct option is that the claim is correct because √16 + π = 4 + π which is an irrational number

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p=23

Is that what you needed?

Answer:

p+7 = 30

p = 23

Step-by-step explanation:

23+7 = 30

Answer:

Y=10

Step-by-step explanation:

The connection between Y&X is that X is Y-2. So just do the same to the new Y value and you should get the X value.

Answer:

64 = <2

Step-by-step explanation:

Vertical angles are equal so if 1 and 2 are vertical angles

<1 = <2

64 = <2

Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.

Let's examine each function and identify their leading terms:

1. f(x) = 2x^5

The leading term is 2x^5, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

2. f(x) = 9x + 100

The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.

As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

3. f(x) = 6x^8 + 9x^6 + 32

The leading term is 6x^8, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

4. f(x) = -8x^3 + 11

The leading term is -8x^3, which has a negative coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

5. f(x) = -10x + 5x + 26

Combining like terms, we have f(x) = -5x + 26.

The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.

As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.

6. f(x) = -x + 8x^4 + 248

The leading term is 8x^4, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

Therefore, the correct choices are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

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Answer:

the value of x is 7.5

Step-by-step explanation:

You started with a total of 28 muffins

From the question, the given parameters are:

Proportion carried away = 16 of the total muffins

Proportion carried away = 4/7 of the total muffins

The above parameters implies that

4/7 of the total muffins = 16

Represent the amount you started with x

So, we have the following representation

4/7 of x = 16

Express as products

4/7x = 16

Make x the subject

x = 7 * 16/4

Evaluate

x = 28

Hence, the total number of muffins is 28

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Step 1

Draw parallel lines cross by a transversal.

1.

<8 and <4 Alternate Exterior Angles

2.

<2 and <5 Supplementary Angles

3.

<2 and <6 Alternate Interior Angles

4.

<1 and <2 Supplementary Angles

5.

<7 and <5 Corresponding Angles

6.

<6 and <8 Vertical Angles

The compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.

The study design used for this investigation of the association between age at first birth and breast cancer is Cohort Study.What is a cohort study?A cohort study is an analytical research approach in which a group of people with a shared trait or experience are followed over time. Cohort studies are used to determine the incidence of a disease, changes in morbidity and mortality rates, and to recognize risk factors for a disease. In this study of breast cancer, the mothers who gave birth for the first time at the age of 30 or older were considered exposed, and they were compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.

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Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

The center of the circle is (h, k) = (-g, -f) = (h, k), and the radius of the circle is

r = \(\sqrt{-2h^2 - 2k^2 + r^2}\).

Given that an equation of a circle can be written in the form

\(\( (x-h)^{2}+(y-k)^{2}=r^{2} \)\)

where \( (h, k) \) is the center and \( r \) is the radius.

Expanding terms, the equation can also be written as:

\(x^{2} - 2hx + h^{2} + y^{2} - 2ky + k^{2} = r^{2}\)

The general equation of a circle is given by

x^2 + y^2 + 2gx + 2fy + c = 0

where (−g, −f) is the center and r is the radius, and the formula for the radius r is given as follows:

r = \(\sqrt{g^2 + f^2 - c\)}

Let's now write the given equation in the general form of the circle equation.

Consider the given equation.

x^2 - 2hx + h^2 + y^2 - 2ky + k^2 = r^2

Rearranging this equation, we obtain:

x^2 + y^2 - 2hx - 2ky + h^2 + k^2 - r^2 = 0

Compare this equation with the general equation of a circle, we have

\(2g = -2h \Rightarrow g = -h\)

\(2f = -2k \Rightarrow f = -k\)

c = h^2 + k^2 - r^2

\begin{aligned}r &=\(\sqrt{g^2 + f^2 - c} \\\) &

= \(\sqrt{(-h)^2 + (-k)^2 - (h^2 + k^2 - r^2)} \\\) &

= \(\sqrt{-2h^2 - 2k^2 + r^2}\\)end{aligned}

Therefore, the center of the circle is (h, k) = (-g, -f) = (h, k), and the radius of the circle is

r = \(\sqrt{-2h^2 - 2k^2 + r^2}\).

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Answer: 3 positive integers.

Step-by-step explanation:

This can be translated to:

"how many integer numbers have the same number of digits in their cubes and squares?"

for example, a number that will be an option is 2:

Because 2*2 = 4

               2*2*2 = 8

the square and cube of 2 have the same number of digits.

3 for example:

3*3 = 9

3*3*3 = 27

does not match the condition.

1 does match it, obviusly.

0 is not positive, so we can ignore it.

let's see 4.

4*4 = 16

4*4*4 = 64

So 4 is other number that matches the condition.

Now, 5:

5*5 = 25

5*5*5 = 125

5 does not match the condition, and any number upper than 5 also does not match the condition.

so the numbers we have are 1, 2 and 4.

so we have 3 integers.

Answer:

Therefore, there are approximately 102 kilocalories in the snack bar.

Step-by-step explanation:

One gram of fat provides 9 kilocalories (kcal), while one gram of carbohydrate and protein provide 4 kcal each. So, to find the total number of kilocalories in the snack bar, we can use the following formula:

Total kcal = (grams of fat * 9) + (grams of carbohydrate * 4) + (grams of protein * 4)

Plugging in the values, we get:

Total kcal = (6 * 9) + (10 * 4) + (2 * 4)

Total kcal = 54 + 40 + 8

Total kcal = 102

Therefore, there are approximately 102 kilocalories in the snack bar.

The answer is  approximately 120 kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein.

What are kilocalories? Kilocalories, also known as calories, are a unit of energy used to calculate the amount of energy in food. The number of kilocalories in food is calculated based on the number of grams of protein, carbohydrate, and fat it contains. Kilocalories are used by the body to fuel its processes and maintain its vital functions. The energy in food is released when it is digested, absorbed, and transported to the cells where it is used to produce ATP, the body's primary source of energy. ATP is used to power cellular processes such as metabolism, respiration, and movement. How many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein? To calculate the number of kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein, we need to know the number of kilocalories per gram of each macronutrient. Protein and carbohydrates each contain 4 kilocalories per gram, while fat contains 9 kilocalories per gram. To calculate the number of kilocalories in the snack bar, we multiply the number of grams of each macronutrient by the number of kilocalories per gram and then add them together. Here is the calculation:6 grams of fat x 9 kilocalories per gram of fat = 54 kilocalories10 grams of carbohydrate x 4 kilocalories per gram of carbohydrate = 40 kilocalories2 grams of protein x 4 kilocalories per gram of protein = 8 kilocalories. Total kilocalories = 54 + 40 + 8 = 102Therefore, a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories.
A snack bar with 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories. This is calculated as follows: (6 grams fat x 9 kcal/g) + (10 grams carbohydrate x 4 kcal/g) + (2 grams protein x 4 kcal/g).

Therefore, answer is 120 kilocalories.

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The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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To find the standard deviation of the data summarized in the given frequency distribution, we can perform the following calculations. The table provides the necessary calculations for the standard deviation of the data summarized in the given frequency distribution:

Waiting time (minutes) Number of customer Midpoint (x) of Class Boundary of Class

f(x) 0-39 (0+3)/2=1.5 -0.5, 3.5+1.5 (9) (1.5) (9) = 13.5

4-7 16(4+7)/2=5.5 -3.5, 7.5+3.5 (16) (5.5) (16) = 88.0

8-11 15(8+11)/2=9.5 -7.5, 11.5+7.5 (15) (9.5) (15) = 213.75

12-15 8(12+15)/2=13.5 -11.5, 15.5+11.5 (8) (13.5) (8) = 91.875

16-20 2(16+20)/2=18 -16, 20+16 (2) (18) (2) = 92

Sum 60 (363.2)

Mean = Sum of (f(x)) / Sum of (f) = 363.2 / 60 = 6.0533

The variance, σ², can be calculated using the formula [Sum of (f(x²)) - {Sum of (f(x))² / Sum of (f)}] / (Sum of (f) - 1). Plugging in the values, we get:

σ² = [1103.2 - {363.2² / 60}] / (60 - 1) = 104.36

The standard deviation, σ, can be calculated using the formula √σ². Hence, the standard deviation of the data summarized in the given frequency distribution is approximately 10.2 minutes.

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It will take 1.5 minutes to boil half liter of water .

Given,

Electric kettle take 3 minutes to boil a liter of water.

Now,

1 liter of water boils in 3 minutes .

so,

1 liter ⇒ boils in 3 minutes

1/2 liter ⇒ boils in 3/2 minutes

Thus,

1/2 liter boils in 1.5 minutes in an electric kettle .

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The odds of the soccer player scoring a goal is 4. The correct option is (b).

The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.

In this case, the soccer player scored a goal 3 times out of 15 attempts.

The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).

Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.

To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:

Odds = Successful outcomes : Unsuccessful outcomes

Odds = 3 : 12

Odds = 3/3 : 12/3

Odds = 1 : 4

So, the correct answer is option b. 4.

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Answer:

x=5

h = 5 sqrt 2

Step-by-step explanation:

isosceles right triangles are always 45-45-90, ratio of those triangles are always x:x:x*sqrt 2

Answer:

12/12 is greater

Step-by-step explanation:

12/12= 1

4/6=0.66667

Answer:

12/12 because 4/6 as a decimal is 0.6 and 12/12 is 1.

Step-by-step explanation:

Answer: x=80

Step-by-step explanation: You add 14 to both sides of the equation. The left side of the equation cancels out leaving you with 80

Answer:

\(\boxed {x = 80}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(x - 14 = 66\)

-Add \(14\) on both sides:

\(x - 14 + 14 = 66 + 14\)

\(\boxed {x = 80}\)

So, the value of \(x\) is \(80\).

The value of a and b are -179/171 and -20/171 respectively.

Rationalising surds is where we convert the denominator of a fraction from an irrational number to a rational number. In more complex cases, it is useful to multiply the denominator by its conjugate to cancel out the surds in the denominator.

(2+5√7)/(2-5√7)

by rationalization

(2+5√7)/(2-5√7) × (2+5√7)/(2+5√7)

=( 4+10√7 + 10√7 + 175)/4+10√7 - 10√7- 175

= (20√7+179)/-171

= -20/171 √7 -179/171

therefore the value of a = -179/171 and b = -20/171

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Answer:

6

Step-by-step explanation:

24/4=6

Answer:

i cant undersand!

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

using the Factor theorem.

If (x + h) is a factor of f(x) then f(- h) = 0

for factor (x + 3) then evaluate P(- 3)

P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72

since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)

The Net Present Value of the project can be calculated by summing the present values of cash flows and subtracting the initial fixed asset investment, but the specific values are not provided in the given information.

To calculate the Net Present Value (NPV) of the project, we need to follow these steps:

1. Calculate the annual cash flows for the project by subtracting the costs from the annual sales:

  Annual Cash Flow = Annual Sales - Costs

  Annual Cash Flow = $1,775,000 - $685,000

2. Calculate the depreciation expense each year by dividing the initial fixed asset investment by the tax life (3 years in this case):

  Depreciation Expense = Initial Fixed Asset Investment / Tax Life

  Depreciation Expense = $2,410,000 / 3

3. Calculate the taxes paid each year by multiplying the depreciation expense by the tax rate:

  Taxes Paid = Depreciation Expense * Tax Rate

  Taxes Paid = Depreciation Expense * 0.23

4. Calculate the after-tax cash flows each year by subtracting the taxes paid from the annual cash flows:

  After-Tax Cash Flow = Annual Cash Flow - Taxes Paid

5. Calculate the present value of each year's after-tax cash flow using the required return rate (10%):

  Present Value = After-Tax Cash Flow / (1 + Required Return Rate)^Year

6. Calculate the NPV by summing up the present values of all three years' cash flows and subtracting the initial fixed asset investment:

  NPV = Sum of Present Values - Initial Fixed Asset Investment

  NPV = Present Value Year 1 + Present Value Year 2 + Present Value Year 3 - Initial Fixed Asset Investment

By performing these calculations, you can determine the project's NPV.

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Answer:

Angle 11 = 100°

Step-by-step explanation:

As angle 7 = 100°

Using corresponding angle property

7 is correspond to 11

So, 11=100°

Hope the answer was correct

Thank You!

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Question:A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is

Answer:

Given the radius of cylinder and cone are the same because there base areas are same.

Curved surface of cylinder = curved surface area of the cone

∴2πrh=πrl

∴l=2h

Given, height of cylinder =3 cm

Therefore, slant height of cone =6 cm

The volume of the cone is 22π.

Volume of a cylinder = πr²h

55π = πr²(5)

55π = 5πr²

r² = 55π/5π

r² = ✓11

r = 3.3

The volume of the cone will be:

= 1/3πr²h

= 1/3 × π × 3.3² × 6

= 1/3 × 11 × 6 × π

= 22π

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