What is 7 1/5 as a decimal?

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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Answer:

yes

Step-by-step explanation:

3

Answer:

0 is the answer

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

2 - 4n = -3n - 3 - 6 + 11

2 - 4n = -3n + 2

-4n = -3n

n = 0

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

\(x=\frac{21}{4}\)

Explanation:

\(\frac{2x+3}{15}\cdot \:10=\frac{9}{10}\cdot \:10\)

\(2x+3-3=\frac{27}{2}-3\)

\(\frac{2x}{2}=\frac{\frac{21}{2}}{2}\)

\(x=\frac{21}{4}\)

\(=5,25\)

(Its the same as the answer above; though I wrote in fraction equation)

3) the operating profit or loss on the sale of the dinner plate set is approximately -$5.3801. This means that there is an operating loss of $5.38 on the sale.

To calculate the operating profit or loss on the sale of the dinner plate set, we need to consider the various expenses and the markdown

1. Calculate the regular selling price:

Regular selling price = Cost + Overhead + Profit

Regular selling price = $47.18 + (13% * Regular selling price) + (13% * Regular selling price)

Let's solve this equation:

Regular selling price = $47.18 + (0.13 * Regular selling price) + (0.13 * Regular selling price)

Regular selling price = $47.18 + (0.26 * Regular selling price)

(1 - 0.26) * Regular selling price = $47.18

0.74 * Regular selling price = $47.18

Regular selling price = $47.18 / 0.74

Regular selling price ≈ $63.8243 (rounded to six decimal places)

2. Calculate the selling price during the clearance sale:

Selling price during clearance sale = Regular selling price - (Markdown * Regular selling price)

Selling price during clearance sale = $63.8243 - (0.16 * $63.8243)

Selling price during clearance sale ≈ $53.7207 (rounded to six decimal places)

3. Calculate the operating profit or loss:

Operating profit or loss = Selling price during clearance sale - Cost - Overhead - Profit

Operating profit or loss = $53.7207 - $47.18 - (0.13 * $63.8243) - (0.13 * $63.8243)

Operating profit or loss ≈ -$5.3801 (rounded to six decimal places)

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hello

the answer to this question is false

The rate of change of the area of the square when the side length is 8 inches and the side length is increasing at a rate of 14 inches per minute is 224 square inches per minute.

To find the rate of change of the area of the square, we need to use the formula for the area of a square:

A = s^2

where A is the area of the square and s is the length of the side of the square.

To find the rate of change of the area, we need to take the derivative of this formula with respect to time:

dA/dt = 2s(ds/dt)

where dA/dt is the rate of change of the area, ds/dt is the rate of change of the side length, and s is the side length of the square.

Since the side length is increasing at a rate of 14 inches per minute, we can substitute ds/dt = 14 into the above equation, and we are given that the side length is 8 inches, so we can substitute s = 8.

dA/dt = 2s(ds/dt)

dA/dt = 2(8)(14)

dA/dt = 224

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The coupon payment to be paid every 6 months is $375.

The market value of a bond, the par value of a bond, the time to maturity of a bond, and the market rate of interest on a bond are all crucial aspects in determining the coupon payment of a bond.

As a result, to determine the coupon payment, we must first comprehend the terms and then perform calculations.M

The given details are as follows:Market value of bond (MV) = $7000Par value of bond (PV) = $10000Time to maturity (t) = 8 yearsMarket rate of interest (r) = 15% (semi-annually).

To begin, we must determine the amount of interest that will be paid on the bond over the course of a year. Because the market rate is a semi-annual rate, we must first divide it by two, which results in a semi-annual rate of 7.5%.

As a result, the semi-annual interest payment will be calculated using the following formula: Semi-annual interest payment = (Par value of bond × semi-annual interest rate) ÷ 2.

Plugging in the values, we have:Semi-annual interest payment = ($10000 × 7.5%) ÷ 2= ($10000 × 0.075) ÷ 2= $375.

Because interest is paid twice a year (semi-annually), we can see that each interest payment is $375. As a result, the coupon payment every six months would be $375.

Thus, the coupon payment to be paid every 6 months is $375.

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Answer:

Nothing

Step-by-step explanation:

Nothing is divisible with 0

Answer:

zero

Step-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

Cross multiplication yields:

20x = 24(30), or

x = 24(30)/20 = 36

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable. => x=36

Step-by-step explanation:

Answer:

9\(a^{4}\)b³

Step-by-step explanation:

The 2 terms are like terms and can be combined, that is

\(a^{4}\)b³ ( 1 + 8)

= 9\(a^{4}\)b³

Answer:

9a^4b^3

Step-by-step explanation:

a^4b^3 + 8a^4b^3

These are like terms so we can add them together

Factor out a^4b^3

a^4b^3( 1+8)

a^4b^3 (9)

9a^4b^3

Total 50 discs we would need to equal a total mass of 1 KG.

In the given question, a computer desk has a mass of 20 G.

We have to find how many of these discs we would need to equal a total mass of 1 KG.

To solve this we have to convert the units.

To create a unit conversion problem where one (or more) units cancel out until just the desired unit is left, follow these steps:

(1) What kind of unit we have.

(2) Choose the desired unit.

(3) Determine the correct unit conversion factor (s).

(4) Unit cancellation and math computations (e.g., multiply, divide).

As we know that, 1 KG = 1000 G

So, to find number of discs we would need to equal a total mass of 1 KG we divide 1000 by 20. So

= 1000/20

= 50

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Answer:

Property of Equality

Step-by-step explanation:

Answer:Property of Equality

STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:

PLEB

The survey represents the residents about the cost of their electric bill are,

Yes, it is biased. Only certain parts of the town were surveyed.

The study would be considered biased because only certain parts of the town were surveyed.

By selecting specific parts of the town to conduct the survey,

The utility company is not ensuring that a representative sample of the entire town's residents is included.

This can introduce potential bias in the survey results.

Different parts of a town may have varying demographics, income levels, or housing types, which can influence the electric bills of residents.

By only surveying specific areas, the study may not capture the diversity and range of electric bill costs across the entire town.

To minimize bias,

It is important to employ random sampling techniques that ensure every resident of town has an equal chance of being surveyed.

This could involve using a random sampling method,

Such as selecting addresses from a comprehensive list .

Using a computer-generated random number generator to identify households to survey.

By doing so, the study would have a better chance of providing an accurate representation of the electric bill costs for the entire town.

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The above question is incomplete, the complete question is:

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the

cost of their electric bill. Would this study be biased? Why or why not?

No, it is not biased. All residents of the town will have the opportunity to respond.

Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at

their

No, it is not biased. All residents who are surveyed will want to respond.

door.

Yes, it is biased. Only certain parts of the town were surveyed.

The solution of the equation is (-2, 3) and to eliminate x we have to multiply equation(i) by 3 and multiply equation(ii) by 4.

System of equation can be solved using different method such as elimination method, substitution method and graphical method,

Let's use elimination method to solve the system of equation.

Therefore,

4x + 5y = 7

3x - 2y = - 12

Multiply equation(i) by 3 and equation(ii) by 4 to eliminate x.

Hence,

12x + 15y = 21

12x - 8y = - 48

Subtract the equations

23y = 69

y = 69 / 23

y = 3

Hence,

4x = 7 - 5y

4x = 7 - 5(3)

4x = 7 - 15

4x = -8

x = -8 / 4

x = -2

Therefore, the solution is (-2, 3)

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Answer:

{x,y} ={0,-7}

Step-by-step explanation:

[1]  3 x - 2 y = 14

[2] 5 x 6 y =42

Answer:

M=18

Step-by-step explanation:

M+-8+2*13

M=-8+26

M=18

Answer:Bryan is 30 inches tall

Step-by-step explanation: 52+8=60. Mark is 8 inches shorter than double the height so just add marks height and add 8. then divide by 2. 60/2 = 30 inches

Answer:

Yes

Step-by-step explanation:

It has two zeros side by side and a zero in each parenthesis, so because they have a common number they are equallateral

The length of radius from the center is 17cm

What is radius?

The radius of a circle is the distance between the center of the circle to its circumference. The radius is exactly half of the diameter. The formula of the radius can be simply derived by dividing the diameter of the circle by two.

Given, the point from the center is 8+15i

The two points are (0,0) and (8,15)

The formula to find radius is

r = \(\sqrt{(x_2^2-x_1^2)+(y_2^2-y_1^2)}\)

Therefore,

r = \(\sqrt{64+225} =\sqrt{289}\)

r = 17

Therefore, radius =17

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Answer:

Taryn charges $12.50 per lawn.

Answer: 12.50 per lawn

Step-by-step explanation:

1) Since the value of y varies directly with x, we can write

y=kx Plugging into that

-8 = k(4)

-8 = 4k Divide both sides by 4

k =-2

2) When x = -4 then we can find y by plugging into that

y = kx

y = (-2)(-4)

y = 8

3) Hence, the answer is 8

24. The answer is False. Plants will not turn ideas into practical action.
25. The answer is True, Shapers will see the "small picture" and make sure that the solution results in a change of direction.


24. Plants are the creative innovators in an organization. They are characterized by their creativity, originality, and unorthodox problem-solving abilities. They generate new ideas and approaches to problem-solving. However, they may not have the necessary drive to see those ideas through to fruition. So, it is not true that plants will turn ideas into practical action. Thus, the statement is false.

25. Shapers are dynamic individuals who thrive on challenge, possessing the drive and courage to overcome obstacles and make things happen. They provide the necessary impetus to ensure that ideas are turned into action and that decisions are taken quickly and efficiently. They are the ones who see the "small picture" and make sure that the solution results in a change of direction. So, it is true that shapers will see the "small picture" and make sure that the solution results in a change of direction. Thus, the statement is true.


The correct answer for statement 24 is False and for statement 25 is True.

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The required equation of the line is y = x + 1

One of the common ways to describe the equation of a line is in the slope-intercept form of the line. You may use this formula to determine a line's equation given its slope and y-intercept.

The Slope intercept form of a line is y = mx + c,

where m is slope and c is the y-intercept

Here we have

Points (1, 2) and (2, 3)

The Slope intercept form of a line is y = mx + c,

As we know, Slope (m) = (y₂ - y₁)/(x₂ - x₁)  

=> Slope of required line = (3 - 2)/(2 - 1) = 1/1 = 1

=> Slope, m = 1

The equation of the line will be: y = (1)x + c,

=> y = x + c

Since (1, 2) passes through the line

=> 2 = 1 + c

=> c = 1

then the equation will be y = x + 1  

Therefore,

The required equation of the line is y = x + 1  

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The value of the given line integral ∫C​(z+2y)dx+(2x−z)dy+(x−y)dz where C is the curve is -10π.

To evaluate the line integral ∫C​(z+2y)dx+(2x−z)dy+(x−y)dz, we need to parameterize the curve C and calculate the integral along that curve.

The curve C starts at (-3, 0, 0), winds around the ellipsoid 4x^2 + 9y^2 + 36z^2 = 36 vertically several times, traverses around it horizontally, and ends at (0, 0, 1).

We can parameterize the curve C using cylindrical coordinates:

x = 2cosθ,

y = 3sinθ,

z = t, where 0 ≤ θ ≤ 2π and 0 ≤ t ≤ 1.

Next, we calculate the necessary differentials:

dx = -2sinθdθ,

dy = 3cosθdθ,

dz = dt.

Substituting the parameterization and differentials into the line integral, we get:

∫C​(z+2y)dx+(2x−z)dy+(x−y)dz = ∫[0,2π]∫[0,1] (t + 2(3sinθ))(-2sinθdθ) + (2(2cosθ) - t)(3cosθdθ) + (2cosθ - 3sinθ)dt.

Evaluating this double integral, we obtain the value -10π.

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there are 21 different 2-letter passwords that can be formed from the letters I, M, N, O, P, Q, and R if no repetition of letters is allowed.

If no repetition of letters is allowed, we can use the formula for calculating combinations rather than permutations, since the order of the letters does not matter.

The number of combinations of k items from a set of n items can be calculated using the formula n! / (k!(n-k)!). In this case, we want to find the number of 2-letter passwords that can be formed from a set of 7 letters, so n = 7 and k = 2.

Plugging these values into the formula, we get:

7! / (2!(7-2)!) = 7! / (2!5!) = (7x6) / (2x1) = 21

what is combinations?

In mathematics, combinations are a way to count the number of ways to select a subset of objects from a larger set, where the order of the objects in the subset does not matter.

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The correct identification of the dependent variable and the independent variable for the experiment is valid experiment.

Independent variable: The variable that is being changed or manipulated in an experiment is called the independent variable. The experimenter modifies the independent variable to observe its effect on the dependent variable.

Dependent variable: The dependent variable is the variable that is being measured and observed in an experiment. It is dependent on the independent variable because it changes as a result of the manipulation of the independent variable.

Therefore, To carry out a valid experiment, it is crucial to accurately identify the dependent variable and independent variable.

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Answer:

Step-by-step explanation:

Probability of win is:

Probability of loss is:

Combinations of 3 wins out of 7 games is:

Required probability:

Answer:

see explanation

Step-by-step explanation:

An ordered pair is a set of coordinates (x, y )

This can be o point on a graph or the solution to a system of equations or values from a table

Answer: It's a point on a graph (y,x)

Step-by-step explanation: