What is 325.623 rounded to the nearest tenth?

Answer:

D= 50.92 in

Step-by-step explanation:

Step one:

Given data

The circumference of a circular tablecloth is 160 inches

We want to know if the circular table cloth can also cover a table of diameter 52 in

Step two:

let us solve for the diameter of the table cloth given that the circumference is

160in

circumference

\(C= 2 \pi r\)

\(160= 2*3.142*r\\\\160= 6.284r\)

divide both sides by 6.284

\(160/6.284= r\\\\r=25.46 in\)

The diameter of the table cloth is

\(=25.46*2\\\\=50.92 in\)

The Table cloth cannot cover the table because the diameter of the cloth is not up to the diameter of the table

Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.

Answer:

$72.76 Us Dollars

Step-by-step explanation:

1st I found out what 20% off of $85 was and it was $68 US Dollars then I had to add 7% of $68 US Dollars and it came out to $72.76

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The false statement about the quadratic functions below is: b) The graphs of all these functions have the same axis of symmetry.

a) The graphs of two of these functions can indeed have a minimum point. Quadratic functions can have a minimum or maximum point depending on the coefficient of the leading term.

b) This statement is false. The axis of symmetry of a quadratic function is determined by the coefficient of the quadratic term (x^2). Since the given functions can have different coefficients for the quadratic term, their axes of symmetry can be different.

c) The graphs of two of these functions may not cross the x-axis. This depends on the position of the vertex and the concavity of the parabola. If the vertex is above the x-axis, the graph will not intersect it.

d) The graphs of all these functions can have different y-intercepts. The y-intercept is determined by the constant term in the quadratic function, which can vary for different functions.

Therefore, the false statement is b) The graphs of all these functions have the same axis of symmetry.

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Answer:

30.0g

Step-by-step explanation:

In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:

Like

10.357, 57 > 50, rounded to 10.4

12.062, 62 > 50, rounded to 12.1

7.506, 06 < 50, rounded to 7.5

Now

The Sum is

= 10.4g + 12.1g + 7.5g

= 30.0g

Hence, 30.0g medicine required to make in grams

Answer:

\(y=3x^{2} -18x+15\) is the equation the quadratic as per the given conditions.

Step-by-step explanation:

Let the equation of the quadratic be:

\(y=ax^{2} +bx+c\)

Given that it has zeroes at x = 1 and x = 5 i.e. y = 0 at both the values of x.

Also passes through point (3, -12). i.e. when x = 3, y = -12

Putting x = 1, y = 0:

\(\Rightarrow a\times 1^{2} +b\times 1+c=0\\\Rightarrow a+b+c=0 ....... (1)\)

Putting x = 5, y = 0:

\(\Rightarrow a\times 5^{2} +b\times 5+c=0\\\Rightarrow 25a+5b+c=0 ....... (2)\)

Putting x = 3, y = -12:

\(\Rightarrow a\times 3^{2} +b\times 3+c=-12\\\Rightarrow 9a+3b+c=-12 ....... (3)\)

Equation (2) - Equation (1):

\(24a+4b=0\\\Rightarrow 6a +b=0 ...... (4)\)

Equation (2) - Equation (3):

\(16a+2b=12\\\Rightarrow 8a +b=6 ...... (5)\)

Equation (5) - Equation (4):

\(2a=6\\\Rightarrow a =3\)

Putting value of a in equation (4):

\(6\times 3+b=0\\\Rightarrow b = -18\)

Putting a and b in equation (1):

\(3-18+c=0\\\Rightarrow c= 15\)

So, the quadratic equation is:

\(y=3x^{2} -18x+15\)

Answer:

33 cars

Step-by-step explanation:

The computation of the number of black cars in total is shown below:

Given that

There is a car dealership of 240 cars

And,17.5% of them are wrecked

So, the wrecked cars is

= 17.5% of 240 cars

= 42

Now the number of other cars would be

= 240 - 42

= 198

And it is mentioned that there are other six colors lot

So the number of black cars would be

= 198 ÷ 6

= 33 cars

The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.

The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.

For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.

Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.

In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.

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Answer:

the fourth which passed through (0;2)

Answer:

graph 4

Step-by-step explanation:

If the slope is positive then the graph is linear increasing function.

If the slope is negative then the graph is linear decreasing function.

Graph 1) slope = 4/3

Graph 4) slope = -3/2

So, Graph 4 is linear decreasing function.

Answer:

oof thats hard but i think it B OR C

Step-by-step explanation:

Answer:

The constant of variation is 2

Step-by-step explanation:

The equation of the direct variation is y = k x, where k is the constant of variation

Let us solve the question

∵ x and y are in the direct variation

→ Use the form of the equation above

∴ The equation of variation is y = k x

∵ x = 3

∵ y = 6

→ Substitute them in the equation above

∴ 6 = k (3)

∴ 6 = 3k

→ To find k divide both sides by 3

∵ \(\frac{6}{3}\) = \(\frac{3k}{3}\)

∴ 2 = k

∵ k is the constant of variation

∴ The constant of variation is 2

Answer:30 degress

3 angles in a triangle equal 180-120=60 60÷2=30

Step-by-step explanation:

The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500  (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

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Answer:

y = 2x + 8

Step-by-step explanation:

Using two ordered pairs from the table: (4, 16) and (8, 24):

Let (x1, y1) = (4, 16)

(x2, y2) = (8, 24)

We can start by solving for the slope of the line by using the formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{24 - 16}{8 - 4} = \frac{8}{4} = 2\)

Therefore, the slope of the line is 2.

Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Using the slope (m) = 2, and one of the points on the given table, (4, 16), we can plug in these values into the slope-intercept form: y = mx + b

y = mx + b

16 = 2(4) + b

16 = 8 + b

Subtract 8 on both sides of the equation to solve for the y-intecept, b:

16 - 8 = 8 + b - 8

8 = b

Now that we have our slope, m = 2, and y-intercept, b = 8, we can establish our linear equation in slope-intercept form:

y = 2x + 8

The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).

b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

(a) The data set that has the greatest sample standard deviation is Data set (ii).

The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.

In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.

(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).

However, they differ in terms of the order in which these numbers are arranged.

In addition, they differ in terms of the mean, median, mode, and standard deviation.

For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

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Therefore, the inverse Laplace transform of the potential function \(\( H(s) \) is:\( h(t) = 20e^{(-200 + 3090i)t} + 20e^{(-200 - 3090i)t} \)\)

Step 1: Factorize the denominator of \(\( H(s) \):The denominator \( s^2 + 400s + 6290000 \)\) cannot be factored further, so we move to the next step.

Step 2: Express\(\( H(s) \) using partial fractions:\( H(s) = \frac{A}{s - s_1} + \frac{B}{s - s_2} \)\)

To find A and B, we need to solve for the values of s_1 and s_2, which are the roots of the denominator equation \(\( s^2 + 400s + 6290000 = 0 \)\).

Using the quadratic formula, we find that the roots are complex:\(\( s_1 = -200 + 3090i \) and \( s_2 = -200 - 3090i \).\)

Step 3: Substitute the values of s_1 and s_2 into the partial fraction decomposition:

\(\( H(s) = \frac{A}{s - (-200 + 3090i)} + \frac{B}{s - (-200 - 3090i)} \)\)

Step 4: Find the values of A and B:

We multiply both sides of the equation by the denominator to eliminate the fractions and then substitute the values of s_1 and s_2:

\(\( 40(s+200) = A(s - (-200 - 3090i)) + B(s - (-200 + 3090i)) \)\)

Simplifying the equation, we get:

\(\( 40s + 8000 = As + A(-200 + 3090i) + Bs + B(-200 - 3090i) \)\)

Matching the coefficients of like terms, we get the following system of equations:

\(\( A + B = 40 \)\( A(-200 + 3090i) + B(-200 - 3090i) = 8000 \)\)

Solving this system of equations, we find that A = 20 and B = 20.

Step 5: Write the partial fraction decomposition:

\(\( H(s) = \frac{20}{s - (-200 + 3090i)} + \frac{20}{s - (-200 - 3090i)} \)\)

Step 6: Find the inverse Laplace transform using lookup tables:

The inverse Laplace transform of each term can be looked up in the Laplace transform table. The inverse Laplace transform of \(\( \frac{20}{s - (-200 + 3090i)} \) is \( 20e^{(-200 + 3090i)t} \), and the inverse Laplace transform of \( \frac{20}{s - (-200 - 3090i)} \) is \( 20e^{(-200 - 3090i)t} \).\)

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Equation of Change in bank balance is x - $128

A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Given Data

Let x be the overall bank balance

Equation

Change in bank balance = x - 4(32)

Change in bank balance = x - 128

Thus, equation of Change in bank balance is x - $128

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The weight of an object with a mass of 2 kg would be 6 N on this planet, assuming the direct variation relationship holds.According to the given information, the weight of an object varies directly with its mass.

This implies that there is a constant of proportionality between weight and mass. Let's denote this constant as k.

From the given data, we have:

Mass = 5 kg

Weight = 15 N

Using the direct variation equation, we can write:

Weight = k * Mass

Substituting the given values, we have:

15 N = k * 5 kg

To find the value of k, we divide both sides of the equation by 5 kg:

k = 15 N / 5 kg = 3 N/kg

Now that we know the constant of proportionality, we can find the weight of an object with a mass of 2 kg:

Weight = k * Mass = 3 N/kg * 2 kg = 6 N.

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Given = V= 4p²

and P= 3

V= 4×3²

V= 36.

yh

so

there is another answer, it is above me

The difference between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be 6.7 × 10⁷. Then the correct option is C.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

1.1 × 10⁸ and 4.3 × 10⁷

Then the difference between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be given by putting a minus sign between them. Then we have

⇒ 1.1 × 10⁸ - 4.3 × 10⁷

⇒ 11 × 10⁷ - 4.3 × 10⁷

⇒ 6.7 × 10⁷

The contrast between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be 6.7 × 10⁷. Then, at that point, the right choice is C.

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Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

The amount paid for the dress to the nearest dollar is $109

From the question, we are to calculate the amount paid for the dress

From the given information,

Atiku is allowed a discount of 12.5% on a dress that cost $125

First, we will calculate the discount

Discount = 12.5% of $125

Discount = 0.125 × $125

Discount = $15.625

Amount paid = Cost - Discount

Thus,

Amount paid = $125 - $15.625

Amount paid = $109.375

Amount paid ≈ $109

Hence, the amount paid is $109

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Answer:

530-450=80

Answer = 80 feet

There is a 136.13 probability that 3 won't increase.

Only 0.65% of seeds will grow into robust plants.

There is a 0.35 probability that a seed won't grow into a robust plant.

In this case, n = 12 and r = 3.

11 seeds will sprout if 1 seed doesn't germinate. Raising 0.65 to the power of 11 and 0.35 to the power of 3 will result in the following: 11 seeds develop, and we use the 11th power; 3 seeds do not grow, so we use the power of 3:

So, the response is:

\({}^{12}C_3\) × \({(chance of successful growth) }^{11}\)x \((chance of Unsuccessful growth)^3\)

= \({}^{12}C_3\) × \(0.65^{11}\) × \({0.35}^3\)

= 362880 × 0.008750 × 0.042875

= 136.13

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The best description of the standard deviation is "Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries."

Standard deviation, denoted by σ, is defined as the measure which indicates the average distance of the observations from the mean of the data set. It tells how spread out numbers are. It is equal to the square root of the variance. Variance is the average of the squared differences from the mean.

For the given problem, the standard deviation can be describe as the average(mean) distance of the individual salaries of employees from the mean of all employees' salaries.

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Step-by-step explanation:

Total coins in the jar = 50. Number of coins with a value less than $0.05 = 20 (the pennies). ... Probability of picking a penny = 20/50 = 40%. ... 'Odds' = 3 to 2 against it.

The missing term in the equation is n = -2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the missing term be represented as n

-2x + 18 = nx + 18

Subtracting 18 on both sides of the equation , we get

-2x = nx

Divide by x on both sides of the equation , we get

n = -2

Therefore , the missing term is n = -2

Hence , the equation is n = -2

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Answer: 0.2

Step-by-step explanation: thats what i got by calculating it

Answer:

decimal form= 0.2

Step-by-step explanation:

round to nearest tenth = 0.

hope this helps.

The line has been constructed that is perpendicular to KL and passes through point K.

What are perpendicular lines?

A perpendicular line passes through a point directly. It forms a 90° angle with one particular spot where the line passes.

As per question, construct a line that is perpendicular to KL and passes through point K.

To create a perpendicular line, perform the steps below:

As can be seen in the below image, XY is the necessary line since it is perpendicular to KL and goes through R.

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Answer:

  yes

Step-by-step explanation:

You want to know if triangles GYK and BAK are similar.

The angle K between sides GK and YK is congruent to the angle K between sides BK and AK.

The ratio of sides GK:YK is 10/25 = 2/5, and the ratio of sides BK:AK is 6/15 = 2/5.

The corresponding sides are proportional and the corresponding angles between them are congruent, so the triangles GYK and BAK are similar according to the SAS postulate.

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