“So, the area is __ square units.”

\(\sf Potassium \ : \ 2.2 * 10^{-7}\)

\(\sf Argon \ : \ 7.1 * 10^{-8}\)

\(\sf Boron \ : \ 8.5 * 10^{-8}\)

\(\sf Silver \ : \ 1.6 * 10^{-7}\)

greatest to least :

The order is

Shortcut trick :-

The nature of atomic radii in. periodic table

The line will have an equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find a line of best fit, you would typically use a technique called linear regression. Linear regression involves fitting a straight line to the data that minimizes the overall distance between the line and the data points.

This line represents the best linear approximation of the relationship between the variables. To perform linear regression, you would need a set of data points that represent the relationship between two variables.

You can then use statistical software or tools like Excel to calculate the line of best fit. The line will have an equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

Once you have the equation of the line, you can use it to make predictions or estimate values based on the given data.

It is important to note that the line of best fit may not pass through all the data points but rather represents the overall trend or relationship between the variables. It is also crucial to consider the assumptions and limitations of linear regression when interpreting the results.

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By percentage, a passive home construction is typically around 50% more expensive compared to a conventional home construction.

A passive home construction is generally more expensive compared to a conventional home construction due to several factors. Passive homes are designed to meet stringent energy efficiency standards, requiring specialized materials, insulation, ventilation systems, and high-performance windows and doors. These energy-saving features contribute to the increased cost of construction. Additionally, passive homes often incorporate advanced technologies like heat recovery systems and solar panels, further adding to the expenses.

However, it's important to note that while the initial construction costs of a passive home may be higher, the long-term energy savings and reduced operating costs can offset the higher upfront investment. Passive homes offer improved energy efficiency, better indoor comfort, and reduced environmental impact, making them a viable choice for those seeking sustainable and energy-efficient housing solutions.

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We have the following:

The first thing is to calculate the ratio between both paintings.

After finding the ratios, it can be calculated for any value using a proportionality rule.

for example, for 5 cups of blue paint, should be for yellow paint:

therefore, should be 25 cups of yellow paint

Answer:

10%

Step-by-step explanation:

He had to payback 40 more than he borrowed.

440-400=40

40 is 10% of 400, what he borrowed.

400÷10=40

Answer:

10%

Step-by-step explanation:

That year, he paid $40 in interest, which is 10% of the original loan.

Answer:

Assuming you're asking for the value of x, the answer would be 4.

Step-by-step explanation:

2(4 + 4)

2(8) = 16

4(4) + 3 - 2(4) + 5

4 * 4 = 16

2 * 4 = 8

16 + 3 - 8 + 5

16 + 3 = 19

19 - 8 = 11

11 + 5 = 16

16 = 16

Alicia have to pay $10,000 and her insurance will pay $10,500.

What is limit of coverage in insurance?

This limit is the most the insurer will pay for sums as damages because of bodily injury or property damage included within the products-completes operations hazard during the policy period.

Given that Alicia has a collision deduction of $500 and a bodily injury coverage limit of $50,000.

And there is a verdict to compensate the injured person for $40,000

Therefore Alicia have to pay

$50,000-$40,000 = $10,000

And her insurance will pay

$10,000 + $500 = $10,500

Hence Alicia have to pay $10,000 and her insurance will pay $10,500.

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Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

\(t=\frac{\frac{5}{2} }{\frac{2}{3} } =\frac{(5)(3)}{(2)(2)} =\frac{15}{4}\)

I hope this help you

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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For now, we'll look at the two people who have to set next to each other as one person. So, there are nine people who are sitting in a row. These nine people can sit together in a total of 9! ways.

However, there are two ways for those two people to sit next to each other.

So, the correct answer is 2!*9!, or 725760.

hopefully this is correct :)

(this is assuming that front to back vs back to front are two different things)

To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.

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Using percentage we can calculate that 81 students did not take French.

In mathematics, a number or ratio that is expressed as a fraction of 100 is referred to as a percentage. Although the abbreviations "pct" and "pc" are also often used, the percent symbol "%" is the one that is most frequently used. A % is a number that has neither established units of measurement nor dimensions.

The percentage can be calculated by taking the value and dividing it by the total value, then multiplying the result by 100. using the formula (Value/Total Value) × 100% to calculate percentages.

Let the total number of students be x.

Now 91% of this students is equal to 819.

Now using the properties of percentages we can write:

91% of x = 819

or, x = 900

Number of students who did not take French = 900 - 819 = 81

Hence using percentages we can say that 9% or 81 students did not take French.

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Answer:

$550 was invested in the 4% account while $700 was invested in the 7% account

Step-by-step explanation:

Let the amount invested in each account be $x and $y respectively

The sum of these two is $1,250

Mathematically;

x + y = 1250 •••••(i)

Now, let’s work with the interest rate;

4% of x + 7% of y = 71

4x/100 + 7y/100 = 71

Multiply through by 100

4x + 7y = 7100 •••••(ii)

From i;

x = 1250-y

Substitute this into ii

4(1250-y) + 7y = 7100

5000 - 4y + 7y = 7100

3y = 7100-5000

3y = 2100

y = 2100/3

y = 700

Recall;

x + y = 1250

700 + x = 1250

x = 1250 - 700

x = 550

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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The x-coordinate on the x axis where the electric field produced by the particles is equal to zero is: x = 373 cm

b.

The electric field due to a point charge is given by:

E = k|q|/r^2

where k is a constant, q is the charge of the point charge, and r is the distance from the point charge.

In this case, there are two point charges, so the electric field is the sum of the electric fields due to each point charge:

E = k|q1|/r1^2 + k|q2|/r2^2

where q1 and q2 are the charges of the point charges, and r1 and r2 are the distances from the point charges.

We want the electric field to be zero, so we set the expression above to zero:

0 = k|q1|/r1^2 + k|q2|/r2^2

We can solve for the x-coordinate where the electric field is zero by rearranging the equation and substituting in the values for the charges and distances:

x = (k|q2|r1^2)/(k|q1|r2^2) = (3.24 × 10^-8 C * 0.230 m^2) / (1.77 × 10^-8 C * 0.790 m^2) = 373 cm

In conclusion, the x-coordinate on the x axis where the electric field produced by the particles is equal to zero is 373 cm.

The electric field is a vector field, which means that it has both a magnitude and a direction. The magnitude of the electric field is a measure of how strong the electric field is, and the direction of the electric field is the direction in which the force on a positive charge would point.

The electric field produced by a point charge is inversely proportional to the square of the distance from the point charge. This means that the electric field gets weaker as the distance from the point charge increases.

In this case, the electric field produced by the two point charges is zero at a point that is halfway between the two point charges. This is because the electric fields due to the two point charges cancel each other out at this point.

The x-coordinate of the point where the electric field is zero can be calculated by using the expressions for the electric fields due to the two point charges and setting the expression equal to zero. The x-coordinate of the point where the electric field is zero is 373 cm.

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To find the equation of a line in slope-intercept form (y = mx + b) that passes through the points (-2, 2) and (7, -4), we first need to determine the slope (m) of the line.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates (-2, 2) and (7, -4) into the formula, we get:

m = (-4 - 2) / (7 - (-2)) = -6 / 9 = -2/3

Now that we have the slope (m), we can use it along with one of the given points to find the y-intercept (b).

Let's use the point (-2, 2) and substitute the values into the slope-intercept form:

2 = (-2/3)(-2) + b

2 = 4/3 + b

b = 2 - 4/3

b = 2/3

Therefore, the equation of the line in slope-intercept form is:

y = (-2/3)x + 2/3

By using the formula for slope, we calculate the slope of the line passing through the given points. Substituting one of the points into the slope-intercept form equation, we solve for the y-intercept. Finally, we combine the slope and y-intercept to obtain the equation of the line in slope-intercept form, which is y = (-2/3)x + 2/3.

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The digit 5 in 89.059 is greater than the digit 5 in 78.365.

To compare the digit 5 in the numbers 89.059 and 78.365, we need to look at the place value of the digit 5 in both numbers. In 89.059, the digit 5 is in the thousandth place, while in 78.365, the digit 5 is in the hundredth place.

Since the digit 5 in the thousandth place has a greater place value than the digit 5 in the hundredth place, it means that the digit 5 in 89.059 is greater than the digit 5 in 78.365.

To understand this concept better, consider the place value system of decimal numbers, where each digit represents a specific place value. The rightmost digit represents the units, the next digit to the left represents the tens, and so on.

Moving leftwards, each digit's place value increases by a factor of 10. Thus, the digit 5 in the thousandth place has a place value of 0.001, which is greater than the place value of the digit 5 in the hundredth place, which is 0.01. Therefore, the digit 5 in 89.059 is greater than the digit 5 in 78.365.

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There is not enough evidence to conclude that zopiclone is effective in reducing the mean wake time of older subjects with insomnia.

This is a one-tailed hypothesis test with a level of significance of α = 0.05. The null hypothesis states that the mean wake time of the subjects after treatment with zopiclone is greater than or equal to 102.8 min, while the alternative hypothesis states that it is less than 102.8 min. The test statistic is -0.56, and the critical value is -1.753. Since the test statistic is greater than the critical value, we fail to reject the null hypothesis. The null hypothesis (H0) is the statement that there is no significant difference between the mean wake time of the subjects before and after treatment with zopiclone. Mathematically, it can be expressed as: H0: μ ≥ 102.8, where μ is the population mean wake time after treatment with zopiclone. The alternative hypothesis (Ha) is the statement that the mean wake time of the subjects after treatment with zopiclone is less than 102.8 min. Mathematically, it can be expressed as: Ha: μ < 102.8. To test this hypothesis, we need to compute the test statistic, which is the number of standard deviations the sample mean is from the hypothesized population mean. The formula for the test statistic is: t = (P - μ) / (s / √n), where P is the sample mean wake time after treatment, μ is the hypothesized population mean wake time, s is the sample standard deviation, and n is the sample size. Plugging in the values from the problem, we get: t = (98.9 - 102.8) / (42.3 / √16) = -0.56. To determine whether the test statistic is significant at the α = 0.05 level, we need to compare it to the critical value from the t-distribution with degrees of freedom (df) equal to n - 1 = 15. From the t-table or calculator, we find that the critical value for a one-tailed test with α = 0.05 and df = 15 is -1.753. Since the test statistic (-0.56) is greater than the critical value (-1.753), we fail to reject the null hypothesis. In other words, we do not have enough evidence to conclude that zopiclone is effective in reducing the mean wake time of older subjects with insomnia. It is important to note that this conclusion is based on the assumption that the sample values appear to be from a normally distributed population.

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A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

\($$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$\)

\($g=3 \frac{1}{2}$\)

Therefore, the correct answer is option a)\($g=\frac{7}{2}$\).

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Answer:

6+6+6÷6

Step-by-step explanation:

Answer:

h(x) = (x + 1)^2 + 4/ 23+40 =49

Step-by-step explanation:

The step by step is on papamath.com

Answer:

The answer is given below

Step-by-step explanation:

In triangle EFG, let a = EG, A = ∠f, b= 1.3 in, B = ∠G, c = 2.4 in C = ∠E = 48°

Using cosine rule:

\(c^2=a^2+b^2-2ab*cos(C)\\a^2-2ab*cos(C)=c^2-b^2\\Substituting:\\a^2-2a(1.3)cos(48)=2.4^2-1.3^2\\a^2-1.74a=4.07\\a^2-1.74a-4.07=0\\a=3\ or\ -1.34\\a=EG=3\ inches\)

EG = 3 inches

Using sine rule,

\(\frac{b}{sin(B)} =\frac{c}{sin(C)}\\ Substituting:\\\frac{1.3}{sin(B)} =\frac{2.4}{sin(48)}\\sin(B)=\frac{sin(48)*1.3}{2.4}=0.4025\\ B=sin^{-1}(0.4025)=23.7^0\)

∠G = B = 23.7°

Given ΔXYZ ≅ ΔEGF,

Therefore: ZX = EF = 1.3 inches, m∠X = m∠G =23.7 °, m∠Z = m∠F = 107°

ZY = FG = 2.4

Answer:

ZX = 1.3 in.

EG = 3 in.

m∠X = 48°

m∠G = 25°

Step-by-step explanation:

ΔXYZ ≅ ΔEGF

107 + 48 = 155

m∠G = 180 - 155 = 25

By answering the presented question, we may conclude that As a result, trigonometry the two tourists are about 23.9 metres apart.

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

   A

    |\

    | \

    |  \

    |   \

    |    \   h = 5.5 m

    |     \

    |      \

    |       \

    |θ1     θ2

 P1 |-------| P2

       d

where P1 and P2 are the two tourists' positions, A is the top of the pole, h is the height of the pole, d is the desired distance between the tourists, and 1 and 2 are the angles of elevation from the two tourists to the top of the pole.

\(tan(1) = h / x tan(2) = h / (d - x) x = h \\tan(2) = (d - h / tan(1))\\h = tan(2) + (h / h) / tan(1))\\1 degree = 21 degrees\\2 x 17 = 17 degrees\\\)

\(h = 5.5 m x = h / tan(1) = 5.5 / tan(21 degrees) 15.8 m d = h / (tan(2) + (h / h) / tan(1)) = 5.5 / (tan(17 degrees) + 1 / tan(21 degrees)) 23.9 m h = 5.5 m x = h / tan(1) = 5.5\)As a result, the two tourists are about 23.9 metres apart.

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In the attached diagram the perimeter of the hall way is

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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The final answer in scientific notation is 6×10¹⁴.

When the numbers are in scientific notation, the multiplication is accompanied with addition of exponents. So, the numbers will be multiplied and exponents will be added.

Writing the equation to find the product by performing the calculation -

Product = 2×10⁷ × 3×10⁷

To perform addition of exponent of the number 10⁷ and to perform the multiplication of the number rewriting the equation

Product = (10⁷⁺⁷)×(2×3)

Adding the exponent and performing multiplication of the numbers to find the product of the given numbers in scientific notation

Product = 10¹⁴×6

Hence, the final answer on multiplication of given numbers is 6×10¹⁴.

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Answer:

x=4

Step-by-step explanation:

135+25+5x=180°

160+5x=180

5x=20

x=4

Answer:

28.27

Step-by-step explanation:

Area of a circle A≈ πr2

3.14 x 3^2 ≈ 28.27