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The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)

Answer:

81 apartments are in the building

Step-by-step explanation:

9 × 9 = 81

Tangent lines only have one point of contact with the circumference of the circle.

There is only one tangent line per point and its geometrical relation to the circle is that it is perpendicular to the radius, expressed as the segment between the center C and the point P where the tangent touches the circle.

We can see it in the picture as:

Answer:

He will pay $922 Eve month where

$238.6667 is the interest in the payment

Step-by-step explanation:

Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592 to be paid back in 36 months monthly.

Total money to be paid back

= 24600+8592

Total money to be paid back

= $33192

Now for each month in 36 months, a certain amount must be paid

That amount= 33192/36

= $922

But if the interest wasn't added

He'll pay= 24600/36

=$683.333

So the interest amount in the payment every month= 922-683.333.

= $238.6667

He will pay $922 Eve month where

$238.6667 is the interest in the payment

Total money to be paid back

= 24600+8592

= $33192

Now for each month in 36 months, a certain amount must be paid

That amount= \(33192\div36\)

= $922

Now in the case when the interest wasn't added

He'll pay= \(24600\div 36\)

=$683.333

So the interest amount in the payment every month is

= 922-683.333.

= $238.6667

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Answer:

who knows

Step-by-step explanation:

who knows

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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d

Step-by-step explanation:

there isn't any figure

Answer:

50.5°

Step-by-step explanation:

x+x+79 = 180

2x+79=180

2x=180-79

2x=101

x = 50.5°

Answer:

FV= $274,909.8

Step-by-step explanation:

Giving the following information:

Present value (PV)= $160,000

Interest rate (i)= 7%

Number of periods (n)= 8 years

To calculate the future value (FV) of the home, we need to use the following formula:

FV= PV*(1+i)^n

FV= 160,000*1.07^8)

FV= $274,909.8

Apply teh altitude theorem:

9/12 = 12/x

Solve for x:

9x = 12 (12)

9x = 144

x = 144/9

x = 16

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The probability that at least one of the calculators is defective is : 0.725

Probability is the likelihood of an event happening or not.

if there is certainty that the event would happen probability is 1.

Analysis:

probability = required outcome/possible outcome

for 33 good calculators and 12 defective calculators, total calculators = 45

4 calculators were chosen, possible outcome = 45C4 = 148995

Required outcome = 33C3 . 12C1 + 33C2 . 12C2 + 33C1 . 12C3 + 33C0 . 12C4

= 65472 + 34848 + 7260 + 495 = 108075

Probability = 108075/148995 = 0.725

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Answer:

3 * 3 * 3 * 3

=> \(3^{4}\)

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We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.

To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.

Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

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Answer:

trapezium maybe

Step-by-step explanation:

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Answer:

Given - A rectangle of length 18 feet and wide 14 feet

To find - Area

Solution -

Area of rectangle = Length * Breadth

=

\(18 \times 14\)

\(252\) square feet

Step-by-step explanation:

We know,

Area=l×b

A=18×14

A=252ft^2

use calculator to check ans

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:

I'd do (-4-7i)-(4-5i)=-8-2i

Answer:

B

Step-by-step explanation:

Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

6 persent

75,000 infour year's

follow me

nice study

I think 22400 mainly because i did the calculation

12500 * .2 4 times and got that answer.

The amount of discount in dollars is 28.17

To find the amount of the discount, we need to multiply the original price by the percentage that was discounted.

Discount = Original Price x (Discount Percentage/100)

Discount = 46.95 x (60/100) = 28.17

So, the amount of discount in dollars is 28.17

Follow the steps below:

1. Take the temperature of the system for which you want to determine saturation pressure.

2. Record the temperature in degrees Celsius.

3. Add 273 to the degrees Celsius to convert the temperature to Kelvins.

4.Calculate saturation pressure using the Clausius-Clapeyron equation.

Detailed Explanation:

In a closed system with liquid and vapor, evaporation continues until as many molecules return to the liquid as escape from it. At that point, the vapor in the system is considered saturated because it cannot absorb any more molecules from the liquid. Saturation pressure measures the pressure of the vapor at that point that evaporation cannot increase the number of molecules in the vapor. Saturation pressure increases as temperature increases since more molecules escape from the liquid. Boiling occurs when the saturation pressure is equal to or greater than the atmospheric pressure.  Take the temperature of the system for which you want to determine saturation pressure. Record the temperature in degrees Celsius. Add 273 to the degrees Celsius to convert the temperature to Kelvins.  Calculate saturation pressure using the Clausius-Clapeyron equation. According to the equation, the natural logarithm of saturation pressure divided by 6.11 equals the product of the result of dividing the latent heat of vaporization by the gas constant for wet air multiplied by the difference between one divided by the temperature in Kelvins subtracted from one divided by 273. Divide 2.453 × 10^6 J/kg--the latent heat of vaporization--by 461 J/kg--the gas constant for wet air. Multiply the result, 5,321.0412, by the difference between one divided by the temperature in Kelvins subtracted from one divided by 273.  Solve the natural log by raising both sides of the equation as powers of e. The natural logarithm of saturation pressure divided by 6.11 raised as a power of e equals the saturation pressure divided by 6.11. Calculate e--a constant that equals 2.71828183--raised to the power of the product from the prior step. Multiply the value of raised e by 6.11 to solve for the saturation pressure.

This is how I do it. Hope this helps.

The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.

f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.

In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.

The function takes any real number as an input, squares it, and produces the corresponding output.

By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

Step-by-step explanation:

\(Area \ of \ trapezoid = \dfrac{h(a+b)}{2}\)

h - altitude or height between the parallel sides

a , b area the length of the parallel sides