I got this answer wrong on my review, I didn't take 8th grade math so i'm kind of lost.

The percentage of squirrels that have a weight between 3 and 5 pounds is; 95.017%

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The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.

To find the equation of the circle, we use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:

(x - 0)² + (y - 0)² = 12²

Simplifying, we get:

x² + y² = 144

Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.

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Answer:

6,7,8

Step-by-step explanation:

You have to name the numbers that are bigger than 5 but smaller than 9.

hope this helps

Answer:

6, 7, 8

Step-by-step explanation:

Given

5 < x < 9

x cannot equal 5 or 9 but can equal the values in between, that is

x = 6, 7, 8

There are 3,276,000 possible license plates in the given country if no repetitions of letters or digits are allowed.

Assuming that there are 26 letters in the alphabet and 10 digits (0-9) available for use:

There are 26 choices for the first letter and 25 choices for the second letter (because we can't repeat the first letter), giving us a total of 26 x 25 = 650 possible letter combinations.

Similarly, there are 10 choices for the first digit, 9 choices for the second digit, 8 choices for the third digit, and 7 choices for the fourth digit (because we can't repeat any of the previous digits), giving us a total of 10 x 9 x 8 x 7 = 5,040 possible digit combinations.

To calculate the total number of possible license plates, we can multiply the number of letter combinations by the number of digit combinations:

650 x 5,040 = 3,276,000

Therefore, there are 3,276,000 possible license plates in the given country if no repetitions of letters or digits are allowed.

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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The value of constant v is 3.75 if y varies directly as x and when

x = 8 and y = 30.

Let v be any constant.

According to the given question.

y varries directly as x.

⇒ y ∝ x

⇒ y = vx                    (beacuse v is constant)

Here, it is give that x = 8 and y = 30.

Thereofre, the value of constant v when y = 30 and x = 8 is given by

y = vx

⇒ 30 = v(8)

⇒ 30/8 = v

⇒ v = 3.75

Hence, the value of constant v is 3.75 if y varies directly as x and when

x = 8 and y = 30.

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Hey there!

The answer to this would be 60f, because you multiply the number of oranges in each box (f) by the number of boxes (60).

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Answer:

  f(x) = x³ -4x² -5x +20

Step-by-step explanation:

If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...

  f(x) = (x -4)(x +√5)(x -√5)

  = (x -4)(x² -5)

  f(x) = x³ -4x² -5x +20

Answer:

Step-by-step explanation:

Given formula:    y= -4x^2+24x+2

max height given by the derivative of above formula,  being equal to zero

0 = -8t +24

8t = 24

t = 3

at 3.0000000 seconds there will be a max in the rockets height ( that was nice of who ever figured out this formula to make it so easy )

y = height

y= -4*3^2+24*3+2

h = -36 +72 +2

h = 38  feet?   we were not told if the formula is in feet.  ( assume that it is , but double check it)

Nice ! so Allie gets an A  :)  A for Awesome Allie,   :DDDD

Answer:

ABCB AGHBGHCGHDGH

90°  90°

45°  45°

135°  135°

90°  90°

Step-by-step explanation:

The measure of each angle of the reflected polygon is same as the corresponding angle of the original one.

By reflection about a line, the polygon changes its position such that the distance of every point from the original one will be the same as the distance from every corresponding point of the reflected one from that line.

So according to the question,

Let polygon ABCD is reflected about line GH then the reflected polygon will be A'B'C'D'

Let ∠ABC= 120°

∠BCD= 80°

∠CDA= 70°

∠DAC= 90°

Now if we measure the corresponding angle of the reflected polygon A'B'C'D', then the reflected corresponding angle will be

∠A'B'C'= 120°

∠B'C'D'= 80°

∠C'D'A'= 70°

∠D'A'C'= 90°

Therefore the measure of each angle of the reflected polygon is the same as the corresponding angle of the original one.

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The resultant velocity and acceleration of the skier at t=4.00 sec on the ski jump path are 12.8 m/s and 45.9 m/s², respectively.

To find the resultant velocity, first find the velocity vector components using the parametric equations:

vx = 7.00t, vy = 0.48t³ - 6.00t²/√(t⁴+1)

At t=4.00 s, vx = 28.0 m/s and vy = 10.50 m/s. The resultant velocity is the magnitude of the velocity vector, given by:

|v| = √(vx² + vy²) = 12.8 m/s

To find the acceleration vector components, differentiate the velocity vector components with respect to time:

ax = 7.00 m/s², ay = 1.44t² - 12.00t/√(t⁴+1) - 6.00t³(t⁴+1)^(-3/2)

At t=4.00 s, ax = 7.00 m/s² and ay = 45.9 m/s². The acceleration vector magnitude is:

|a| = √(ax² + ay²) = 46.1 m/s².

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

The correct option is B.

Thus, 68% percentage of the balls weigh within one standard deviation of the mean.

The Empirical Rule indicates that 99.7% of data that are observed to have a normal distribution fall within 3 standard deviations of the mean. According to this formula, 68 percent of the data are within one standard deviation, 95 percent are within two standard deviations, and 99.7 percent are within three standard deviations of the mean.

Because approximately 68% of the data falls within a standard deviation of the mean, according to the empirical rule, 68% of the balls' weights fall within that range.

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I understand that the question you are looking for is:

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean

A. 50%

B. 68%

C. 95%

D. 99.7%

A variable without a clear operational definition can greatly impact the accuracy and reliability of statistics performed on it. To ensure accurate and meaningful results, it is important to have clear, well-defined variables in any research study.

The lack of a clear definition can lead to inconsistencies in data collection, making it difficult to accurately interpret and analyze the results.

Step 1: When a variable has no clear operational definition, researchers may measure or interpret it in different ways, leading to inconsistencies in data collection.

Step 2: These inconsistencies can affect the reliability and validity of the collected data, which in turn impacts the accuracy of the statistical analysis performed.

Step 3: As a result, the findings from such analyses may not accurately represent the true relationships or patterns within the sample or the population, leading to incorrect conclusions.

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The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer:

4 maximum extrema

Step-by-step explanation:

5th degree means that it can change direction 5 times, therefore creating a maximum of 4 extrema

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The basic arithmetic operations are:

Addition (+): The operation of finding the total of two or more numbers.

Subtraction (-): The operation of finding the difference between two numbers.

Multiplication (*): The operation of finding the product of two or more numbers.

Division (/): The operation of finding the quotient of two numbers, where the numerator is divided by the denominator.

Exponentiation (^ or **): The operation of finding the result of raising a number to a power.

These basic arithmetic operations form the foundation of many mathematical and scientific concepts, and are used in a wide variety of applications. In addition, they are the building blocks for more advanced

mathematical operations, such as logarithms, derivatives, and integrals.

Linear equations are mathematical expressions that describe a linear relationship between two variables. In a linear equation, the highest power of the variables is 1, and the coefficients and variables are related in a straightforward manner.

A linear equation in one variable (such as y = 2x + 1) describes a straight line when plotted on a graph. In two variables, a linear equation describes a plane in three-dimensional space.

Linear equations have the form:

y = mx + b

where x and y are variables, m is the slope of the line, and b is the y-intercept, the point at which the line crosses the y-axis.

Linear equations are used in many fields, including economics, physics, and engineering, to model and analyze relationships between variables.

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Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer:

Cylinder has a formula

π×r²×h

so of it is open

π×r²×h - π×r²

Answer:

pls give brainiest

Step-by-step explanation:

A=2πr×h(r+h)

Answer:

\(\boxed {\boxed {\sf D. \ f(3)= 30}}\)

Step-by-step explanation:

We are given the function:

\(f(x)= 3(2)^x+6\)

We want to find f(3), so we must substitute 3 in for x.

\(f(3)= 3(2)^3+6\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve the exponent first.

\(f(3)= 3(8)+6\)

Multiply 8 and 3.

\(f(3)= 24+6\)

Add.

\(f(3)=30\)

For the function given, f(3) is 30.

Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

The equation with the fewest symbols is 30x - 18, which represents the simplified form of the given expression.

An equation is a mathematical statement that shows the equality between two expressions. The given expression is not an equation since there is no equality sign present. However, we can simplify the expression to get an equivalent equation with the fewest symbols.

To simplify the expression, we use the distributive property of multiplication over addition/subtraction. We multiply 6 with each term inside the parentheses, i.e., 5x and -3. This gives us:

6(5x - 3) = 6(5x) - 6(3) = 30x - 18

This simplified expression is an equation that shows the equality between the left-hand side (LHS) and the right-hand side (RHS). The LHS is 30x - 18, and the RHS is also 30x - 18, which means that they are equal.

Therefore, the equation with the fewest symbols is 30x - 18, which represents the simplified form of the given expression.

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Step-by-step explanation:

a^2-b^2+2a+2b

=(a+b)(a-b)+2(a+b)

=(a+b)^2(a-b)+2

Answer:

100KD

Step-by-step explanation:

77 + 23 = 100KD

To find the equation of the tangent line to the graph of y = (6x^2 − 6x + 3)(1 + 2x) at x = 1, we need to find the slope of the tangent line at that point and use the point-slope form of a line equation. Here's a summary of the solution:

Calculate the derivative of the function y = (6x^2 − 6x + 3)(1 + 2x) using the product rule and simplify the expression.

Evaluate the derivative at x = 1 to find the slope of the tangent line.

Substitute the coordinates of the point (1, f(1)) into the point-slope form of the line equation, where f(1) is the value of the function at x = 1.

Simplify the equation to obtain the equation of the tangent line.

To check the reasonableness of the answer, graph both the function and the tangent line using a graphing tool or software. Plot the function and the tangent line on the same graph to visually verify that the line is indeed tangent to the function at x = 1.

By taking the derivative of the function, evaluating it at x = 1, and applying the point-slope form, you can determine the equation of the tangent line. Graphing both the function and the tangent line together allows you to visually confirm the tangent relationship at x = 1.

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