One painting shows 520 different types of ladybug. another painting shows 750 different types. how many times as great is the value of the digit 5 in 520 than the value of the digit 5 in 750. how do you know?

The factorised expression is 7²n³ - 5²m³.

We are given a mathematical expression. It is an algebraic expression. The expression consists of two terms. It is a binomial expression. The expression uses two variables. We need to factorise the expression. Let the expression be represented by the variable "E". The expression is given below.

E = 49n³ - 25m³

We will use the properties of the exponents. The expression can be modified as given below.

E = 7²n³ - 5²m³

We see that both terms have nothing in common. The expression cannot be factorised using any identity. Thus, the expression cannot be factorised any further.

Hence, the factorised expression is 7²n³ - 5²m³.

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Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $7,000

Interest rate (i)= 2.5%

To calculate the future value after x years, we need to use the following formula:

FV= PV*(1 + i)^x

Now, for 9 years:

x= 9

FV= 7,000*(1.025^9)

FV=$8,742.04

The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³

To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.

The volume of a square prism is given as;

V = L³

V = 4³

V = 64cm³

The volume of the square pyramid is given as;

V = 1/3lh

V = 1/3 * 4 * 2.4

V = 3.2cm³

The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³

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The value of the test statistic (t) is approximately 2.157.

Formula for test statistic?

To calculate the test statistic (t), we can use the formula:

\(t = (x_1 - x_2) / \sqrt{(s_1^2 / n_1) + (s_2^2 / n_2)}\)

Where:

\(x_1\) and \(x_2\) are the sample means,

\(s_1\) and \(s_2\) are the sample standard deviations,

\(n_1\) and \(n_2\) are the sample sizes.

Given:

\(x_1\) = 66.0, \(x_2\) = 58.6,

\(s_1\) = 10.0, \(s_2\) = 13.0,

\(n_1\) = 20, \(n_2\) = 25.

Substituting the values into the formula, we have:

\(t = (66.0 - 58.6) / \sqrt{(10.0^2 / 20) + (13.0^2 / 25)}\)

Calculating the expression in the square root first:

\(t = (66.0 - 58.6) / \sqrt{(5.0) + (6.76)}\)

\(t = 7.4 / \sqrt{(11.76)}\)

Finally, calculating the square root and dividing:

t ≈ 7.4 / 3.429

t ≈ 2.157

Rounding to three decimal places, the value of the test statistic (t) is approximately 2.157.

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Answer:

Step-by-step explanation:

m² +2d + 8 +d = 5² + 2*4 + 8 + 4

                       = 25 + 8 + 8 + 4

                       = 45

Answer:

E) 5/6

Step-by-step explanation:

since there are 5 sides without the trademark

probability = desired outcome / total outcomes = 5/6

To find the area of a quadrilateral with given coordinates, you can use the Shoelace Formula.

The Shoelace Formula, also known as Gauss's area formula, provides a method to calculate the area of any polygon given its coordinates. Here's how it works for a quadrilateral:

Let's say you have the coordinates of the four vertices of the quadrilateral: (x1, y1), (x2, y2), (x3, y3), and (x4, y4).

1. Write down the coordinates in a clockwise order:

  (x1, y1), (x2, y2), (x3, y3), (x4, y4), (x1, y1).

2. Multiply each x-coordinate by the y-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply x1 by y2, and for the second vertex (x2, y2), multiply x2 by y3, and so on.

3. Multiply each y-coordinate by the x-coordinate of the next vertex.

  For example, for the first vertex (x1, y1), multiply y1 by x2, and for the second vertex (x2, y2), multiply y2 by x3, and so on.

4. Add up all the results from Steps 2 and 3.

5. Take the absolute value of the sum calculated in Step 4 and divide it by 2.

By following the steps of the Shoelace Formula, you can calculate the area of a quadrilateral given its coordinates. Remember to ensure that the coordinates are listed in a clockwise or counterclockwise order to obtain the correct result. This method can be applied to any quadrilateral shape and provides an efficient way to find its area without requiring complex calculations or trigonometric functions.

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f'(x) = 1/(2√x) - \(4(x-\)\(6)^3\) is the derivative of f(x) = sqrt(x) -\((x-6)^4.\)

To differentiate the function f(x) = sqrt(x) - (\(x-6)^4\), we can apply the power rule and the chain rule.

1: Differentiate the first term, sqrt(x), using the power rule for rational exponents.

f'(x) = \((1/2)x^{(-1/2)} - (x-6)^4\)

2: Differentiate the second term,\((x-6)^4\), using the chain rule.

f'(x) = \((1/2)x^{(-1/2)} - 4(x-6)^3\) * d/dx(x-6)

3: Simplify the derivative of the second term.

The derivative of (x-6) with respect to x is 1.

f'(x) = \((1/2)x^{(-1/2)} - 4(x-6)^3\) * 1

4: Further simplify the expression.

f'(x) = 1/(2√x) - \(4(x-6)^3\)

Therefore, the derivative of the function f(x) = sqrt(x) - \((x-6)^4\) is f'(x) = 1/(2√x) - \(4(x-6)^3\).

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Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

81 can be used as a model for (2+6)×3÷2-3 to the 2nd power.

Generally, The expression (2+6)×3÷2-3 can be simplified using the order of operations (also known as PEMDAS) as follows:

Perform the addition inside the parentheses: 2 + 6 = 8.

Perform the multiplication: 8 × 3 = 24.

Perform the division: 24 ÷ 2 = 12.

Perform the subtraction: 12 - 3 = 9.

So, the simplified expression is 9.

To find a model for (2+6)×3÷2-3 to the 2nd power, we can simply square the simplified expression:

(2+6)×3÷2-3 to the 2nd power = 9^2 = 81.

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The equation, in standard form, of the parabola that models the values in the table is \(y = 6x^2 + 5x - 4\).

The given table of values represents the relationship between x and y in a parabolic function. To determine the equation of the parabola, we look for a quadratic expression of the form y = ax² + bx + c, where a, b, and c are constants.

By examining the table and matching the values, we find that the equation y = 6x²+ 5x - 4 best represents the given data. This equation is in standard form, with the highest power of x being 2. It describes a U-shaped curve, known as a parabola, which is concave upward.

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A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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The distance from a point on a circle to its center is called the radius, and it plays a crucial role in defining the circle's characteristics.

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

1. In a circle, the radius is the distance from the center to any point on the circle.
2. The radius is always the same length, no matter which point on the circle is chosen.
3. It is an essential property of a circle and helps determine the size and shape of the circle.

In conclusion, the distance from a point on a circle to its center is called the radius, and it plays a crucial role in defining the circle's characteristics.

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Answer: hello your question is poorly written below is the complete question

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

answer:

a ) R is equivalence

b) y = 2x + C

Step-by-step explanation:

a) Prove that R is an equivalence relation

Every line is seen to be parallel to itself ( i.e. reflexive ) also

L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also

If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )

with these conditions we can conclude that ; R is equivalence

b) show the set of all lines related to y = 2x + 4

The set of all line that is related to y = 2x + 4

y = 2x + C

because parallel lines have the same slopes.

Answer:

4.5 pie cubic inches

Answer:

B. 4.5π cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.

\(\boxed{\text{Volume of cylinder}=πr^2h}\)

Given: diameter= 3 in, height= 2 in.

Diameter= 2(radius)

r= 3 ÷2

r= 1.5

Substitute the value of r and h into the formula:

Volume of cylinder

= π(1.5²)(2)

= 4.5π in³

Thus, B is the correct option.

Additional:

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Answer:

1

Step-by-step explanation:

64+32 =96 that'd how I got the answer

Answer:

\({ \tt{8(2v + 8) = 96}} \\ { \tt{2v + 8 = 12}} \\ { \tt{2v = 4}} \\ { \bf{v = 2}}\)

(a) The presence of a confounding variable Z, such as the severity of the fire, could make the relationship between the number of firefighters (X) and property damage (Y) spurious.

(b) The presence of a confounding variable Z, such as the popularity of the incumbent member or the characteristics of the constituency, could make the relationship between campaign spending (X) and percentage of vote (Y) spurious.

(c) The presence of a confounding variable Z, such as the overall lifestyle or socioeconomic status of the women, could make the relationship between coffee consumption (X) and the risk of depression (Y) spurious.

(d) The presence of a confounding variable Z, such as the overall economic conditions or demand for rum in Havana, could make the relationship between Presbyterian ministers' salaries (X) and the price of rum (Y) spurious.

In each of the given examples, the reported pattern of covariation between X and Y may be influenced by a confounding variable Z. A confounding variable is a variable that is related to both the independent variable (X) and the dependent variable (Y), which can lead to a spurious relationship between X and Y.

The presence of a confounding variable can create the illusion of a direct relationship between X and Y when, in reality, the observed relationship is due to the influence of Z.

For example, in the case of firefighters and property damage, the severity of the fire (Z) could be the underlying factor driving both the number of firefighters and the extent of property damage.

Similarly, in the case of campaign spending and percentage of vote, factors such as the popularity of the incumbent member or the characteristics of the constituency (Z) could be influencing both variables.

In the case of coffee consumption and the risk of depression, other lifestyle or socioeconomic factors (Z) may be responsible for the observed relationship rather than coffee itself. And in the case of Presbyterian ministers' salaries and the price of rum, economic conditions or demand for rum (Z) in Havana could be driving both variables.

Identifying and controlling for confounding variables is crucial in research to ensure accurate interpretations of the relationship between X and Y. It allows researchers to isolate the true causal relationship between the variables of interest.

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Answer:

\(\text{a) }30+14t\leq 110,\\\text{b) }5,\\\text{c) The maximum number of tickets the group of friends can buy is 5.}\)

Step-by-step explanation:

a) Let \(t\) represent the number of tickets they can buy. We have the following inequality:

\(30+14t\leq110\)

b) Solving, we get:

\(30+14t\leq110,\\14t\leq110,\\t\leq \left\lfloor \frac{80}{14}\right \rfloor,\\ t\leq \boxed{5}\)

c) The maximum number of tickets the group of friends can buy is 5.

Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

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He started walking away from his automobile(Time) 6 seconds ago.

Let point C represent can and point A can be starting point and B is end point of celeb .

Now according to question,

CA = 8 feet

and CB = 20 feet

Distance covered = 20 - 8 = 12 feet

given speed is 2 feet per second

distance covered / time =2

12 / time = 2

Time = 6 seconds

Hence, time elapsed is 6 seconds

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Answer:The length of the other diagonal is: C. 15 feet.

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

To be an irrational number it has to be non repeating and non terminating which means none of these could be an irrational number.

0.636363.. is non terminating but it is repeating the same 2 numbers so therefore it is a rational number

6 is a terminating number which makes it rational

25 is a terminating number which makes it rational

0.45 is terminating number which makes it also a rational number

therefore there are no irrational numbers in this problem

Answer:

a is the answer

Step-by-step explanation:

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

Answer:

1/4. 3/8. 2/3

Step-by-step explanation:

1/4, 3/8 and 2/3

Answer: 35 mile/hour

Step-by-step explanation:

\(r=\frac{d}{t}\)

∴ \(r=\frac{227.5}{3.5}=65\)

= 65 mile/hour

Answer:

1331cm³

Step-by-step explanation:

Volume of a cube = s³

= 11³

= 1331cm³

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a) Firm's fixed costs is 300 dollars. The average total cost is 5.6 dollars. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

What is variable costs?

Variable costs are that type of costs which change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over the sum of units produced. It  can also be considered as normal costs.

A firm produces 125 units of a good. Its variable costs are 400 dollar, and its total costs are 700 dollar.

a) Fixed Costs = Total Costs – (Variable Cost Per Unit × Number of Units Produced)

Here given that, total costs= 700 dollar and total variable costs =400 dollar

Fixed costs= 700 - 400

                = 300 dollars.

b) Average costs= Total costs/ number of goods

                          = 700/125

                           = 5.6

c) Now the variable costs is 385 dollar

Amount of goods = 124 units

Total costs= Fixed costs + variable costs

                 =297.6 + 385 [As the fixed costs for 124 goods is (300×124)/125 which is equals to 297.6]

                 = 682.6 dollars

Hence, Firm's fixed costs is 300 dollars. The average total cost is 5.6. If variable costs were 385 dollar when 124 units were produced, then the total cost equal to at 124 units is 682.6 dollars.

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Answer:

A= 254.47 in

C= 56.55 in^2

Step-by-step explanation:

formula for area is πr^2 (radius is r)

circumference formula is πd or 2πr (diameter is d, radius is r)

I don't know what does C and A means but if A means area and C means circumference,

C = 56.52in

A = 254.34

Answer:

Nijah has 6 stickers left.

Step-by-step explanation:

Starting stickers:

45

2/5 are given away:

\(\frac{2}{5}\) * 45

\(\frac{2}{5}\) * \(\frac{45}{1}\)

\(\frac{90}{5}\)

18

1/3 of the remaining are given away:

\(\frac{1}{3}\) * 18

\(\frac{1}{3}\) * \(\frac{18}{1}\)

\(\frac{18}{3}\)

6

Nijah has 6 stickers left.

Answer:

18

Step-by-step explanation:

Find the part she gave to her sister

45 *2/5 = 18

The part remaining is

45 - 18 = 27

She gives 1/3 to Brett

27 * 1/3 = 9

She has 27 - 9 = 18

She has 18 remaining