What are four names for 3.09

Answers

Answer 1

Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer 2

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.


Related Questions

I'm not sure what I did wrong here, I only have one try at this question, please help!

Answers

Answers
Corresponding
Congruent
47
180
75
Alternate interior angle
Congruent
75
180
180

Most of it is correct, but your addition of angles 58 and 47 = 105. 180 - 105 = 75.

You need to correct that in two places.
It is 75, NOT 85.
See my attachment for corrections.

Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?​

Answers

Answer:

350,000.00

Step-by-step explanation:

420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00

Estthe product silve using an area model and the standard algorithm 1.7x55=

Answers

The expression 1.7 x 5.5  can be an area model of the rectangle where the length is 1.7 and the width is 5.5

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The expression 1.7 x 55 is an area model.

Area of rectangle = length x width

Now,

Length = 1.7

Width = 55

Area = 1.7 x 5.5

Thus,

The expression 1.7 x 5.5 can be an area model.

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SOMEONE PLEASE HELPPP

Answers

The values of the [tex]\bar x[/tex] (x-bar) (the mean) and the median of the dataset in the question are;

[tex]\bar {x}[/tex] ≈ 13.05

Median = 13.60

What is the mean and median of a dataset?

The mean and the median are descriptive statistical values that provides a description of the data that can be found in the dataset.

The mean is the average value of the data in the dataset, and the median is the middle value of the set of data arranged in an order of increasing values.

The mean is the average value of the set of data which is obtained by dividing the sum of the data points by the number of the datapoints, we get;

The number of data points = 28

The sum of the data is;  (4.7 + 12.6 + 3.6 + 16.1 + 2.3 + 28.2 + 2.2 + 16.9 + 10.7 + 19.5 + 11.4 + 27.9 + 11 + 15 + 4.2 + 15.8 + 15.9 + 17.3 + 24.9 + 10.8 + 16.4 + 7.3 + 3.2 + 14.6 + 2.6 + 8.4 + 21.2 + 20.8) = 365.5

The average is the mean is therefore; [tex]\bar x[/tex] = 365.5 ÷ 28 ≈ 13.05

The median is the value of the number in the middle when the numbers are arranged in increasing order as follows;

2.2, 2.3, 2.6, 3.2, 3.6, 4.2, 4.7, 7.3, 8.4, 10.7, 10.8, 11, 11.4, 12.6, 14.6, 15, 15.8, 15.9, 16.1, 16.4, 16.9, 17.3, 19.5, 20.8, 21.2, 24.9, 27.9, 28.2

The numbers at the middle of the set of numbers are 14th and 15th numbers, which are 12.6 and 14.6, which indicates that the median is the average of the two numbers, which is therefore;

Median = (12.6 + 14.6)/2 = 13.60

The median is 13.60

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Find y.
7.54
6.76
18.55
29.83

Answers

The length of y in the triangle is 18.55 units.

How to find the side of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.

Answers

Nevaeh has 6 nickels n 5 dimes

Anthony wants to buy a CD for $400 that earns 2.5% APR and is compounded
quarterly. The CD matures in 3 years. He will be paid the interest he earns
each quarter. How much interest will Anthony have earned on this CD after
the first quarter?
A. $10.00
B. $3.25
c. $1.25
D. $2.50

Answers

Answer:i think A

Step-by-step explanation:

Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.60 per mile driven
The second plan has no initial fee but costs $0.80 per mile driven.
For what amount of driving do the two plans cost the
same?
miles
What is the cost when the two plans cost the same?
3

Answers

From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.

What is a equation?

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

What is unitary method?

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

x= miles

60+0.6x=0.8x

0.8x-0.6x=60

0.2x=60

x=60/0.2

=300 miles

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Ashley and Saskia each think of a number.
1 less than Ashley's number is equal to 3 lots of Saskia's number.
4 lots of Ashley's number added to Saskia's number is 95.
Using the information above, write and solve two simultaneous equations to work out Ashley's and Saskia's numbers.

Answers

Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.

How to work out Ashley's and Saskia's numbers?

In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:

Let the variable x represent Ashley's number.Let the variable y represent Saskia's number.

Translating the word problem into an algebraic equation, we have the following:

x - 1 = 3y                   .....equation 1.

4x + y = 95              .......equation 2.

Making x the subject of formula in equation 1, we have:

x = 3y + 1      .......equation 3.

Substituting equation 3 into equation 2, we have:

4(3y + 1) + y = 95

12y + 4 + y = 95

13y = 95 - 4

13y = 91

y = 91/13

y = 7.

For the value of x, we have:

x = 3y + 1

x = 3(7) + 1

x = 21 + 1

x =22.

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How do I even do thissss?

Answers

Please provide your question with a math problem in the form of an image or text.

I will say, your username is true!

what is the closest estimate of x where f(x) = g(x)?

Answers

Using Desmos to graph and see where the two functions cross(which is where f(x)=g(x)). We get,
x≈1.6

Can someone pls help answer this asap!! I’d really appreciate it!

Answers

Answer:

124 degrees

Step-by-step explanation:

Since they are congruent the corresponding angles will be equal. There is only one obtuse in each triangle, Angles Y and N. N is measured to be 124 degrees so Y is also 124 degrees.

Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

Answers

As the value of tan90 is undefined so

Sin60=6/hyperbola

•hyperbola=6/sin60
•hyperbola=4 √3

Now,
We know,

Hyperbola^2= Base ^2 +Perpendicular ^2
•Base(x)= √(Hyperbola^2-Perpendicular ^2)
•Base(x)=2√3

So Value of X is 2√3 (Ans.)

Correct Option: A) 2√3

The quotient of x and 4 is at least 26

Answers

The given statement in the form of inequality is given as -

(x ÷ 4) ≥ 26.

What is inequality? Differentiate between equation and expression?  

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is the statement as -

"quotient of x and 4 is at least 26"

We can write the inequality as -

(x ÷ 4) ≥ 26

Therefore, the given statement in the form of inequality is given as -

(x ÷ 4) ≥ 26.

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17v = 62 (exponential equations with logarithms, solve)

Answers

Therefore v = log(62) / log(17) is the solution for v, the unknown variable in the equation.

Define log(Logarithm).

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b.  For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

What is a function?

A function in mathematics is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

To solve this exponential equation, we can use the logarithms property that is log(a^b) = b*log(a).

Given the equation 17v = 62, we can take the logarithm base 17 of both sides:

log(17^v) = log(62)

v*log(17) = log(62)

Dividing both sides by log(17) gives us:

v = log(62) / log(17)

This is the solution for v, the unknown variable in the equation.

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-|-5| what is the absolute value

Answers

Answer:

-5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

negative times negative equals positive

You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash
(when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120 degrees apart along the rotation, ash shown below, what is this ratio?

Answers

The required ratio is 1:2.

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash,  One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation

If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.

Therefore, the ratio of the times between beacons is =

120° : 240° = 1 : 2

Hence, the ratio is 1 : 2

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Simplify the following expression: 3(5 – 12) + 4 ÷ 2
A. -19
B. 19
C. -23
D. -8.5

I think it's either A or B

Answers

3(5 - 12) + 4 ÷ 2 = - 19

A must be the answer

XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip

Answers

Total Liabilities  + Equity = $220,000.

Total Assets = $220,000.

What is Ratio Analysis and Balance Sheet?

The relationship between the two separate components is established through ratio analysis. Utilizing figures from the income statement, balance sheet, statement of cash flows, and other financial statements, it is used to assess the company's financial performance.

One of a company's financial statements that is created at the end of the year is the balance sheet. It establishes the balance of a company's assets, liabilities, and stockholder equity at the end of the fiscal year.

Here we are given in the Question,

Assets

Cash = $45,000

Inventory = $41,000

Property = $134,000

Liabilities

Notes  = $55,000

Wages  = $56,000

and

Equity

Stock = $50,000

Investment = $59,000

Total Liabilities  + Equity = ( Notes + wages ) + (stock + Investment)

Total Liabilities  + Equity = ( $55,000 + $56,000) + ($50,000 + $59,000)

Total Liabilities  + Equity = $220,000.

Total Assets = Cash + Inventory + Property

Total Assets = $45,000 + $41,000 + $134,000

Total Assets = $220,000

Therefore,

Total Liabilities  + Equity = Total Assets.

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d^2a/db^2 +a = 4b+10sin(b)

Answers

The given equation is a second order differential equation

What is a differential equation?

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

Isaac Newton listed three kinds of differential equations given -

[tex]${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}[/tex]

Given is a differential equation as follows -

d²a/db² + a = 4b + 10sin(b)

The given equation is -

d²a/db² + a = 4b + 10sin(b)

Let y = a and x = b, then we can write -

d²y/dx² + y = 4x + 10sin(x)

A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -

d²y/dx² + P(x) dy/dx + Q(x) y = f(x)

For the equation given -

d²y/dx² + y = 4x + 10sin(x)

On comparing, we get -

P(x) = 0

Q(x) = 1

f(x) = {4x + 10sin(x)}

Therefore, the given equation is a second order differential equation.

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Which graph represents the solution to the following inequality? 3x - 2y ≥ 6

Answers

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

(

3

0

)

+

2

y

=

6

0

+

2

y

=

6

2

y

=

6

2

y

2

=

6

2

y

=

3

or

(

0

,

3

)

For:

y

=

0

3

x

+

(

2

0

)

=

6

3

x

+

0

=

6

3

x

=

6

3

x

3

=

6

e

d

)

(

3

)

x

=

2

or

(

2

,

0

)

We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

graph{(x^2+(y-3)^2-0.125)((x-2)^2+ y^2-0.125)(3x+2y-6)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line. And we need to make the boundary line a dashed line because the inequality operator does not contain an "or equal to" clause.

graph{(3x+2y-6) < 0 [-20, 20, -10, 10]}

Step-by-step explanation:

What is the value of 7/8+ (-2/3) - (-4)?

Answers

The value of fraction will be;

⇒ 101/24

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 7/8+ (-2/3) - (-4)

Now,

Since, The expression is,

⇒ 7/8+ (-2/3) - (-4)

Simplify as;

⇒ 7/8 - 2/3 + 4

⇒ (21 - 16)/24 + 4

⇒ 5/24 + 4

⇒ (5 + 96) / 24

⇒ 101/24

Thus, The solution is,

⇒ 101/24

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8z = 4x - 32

Please explain step by step

Answers

The solution to the equation 8z = 4x - 32 is z = -4 and x = 8.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It consists of an equals sign and two expressions, one on each side of the equals sign. Equations are used to solve for the value of the unknown expressions, and can be used to solve problems in various fields such as physics, chemistry, engineering, and mathematics.

1. Start by isolating the z variable by subtracting 4x from both sides of the equation. This will give us: 8z = -32.
2. Divide both sides of the equation by 8. This will give us: z = -4.
3. Finally, substitute z = -4 into the original equation and solve for x. This will give us: 4x = 32, so x = 8.

Therefore, the solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
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Complete questions as follows-
8z = 4x - 32
Please explain step by step how to solve 8z = 4x - 32.

Write the expression as a decimal number 2 x 0.1 + 5 x 0.001 =

Answers

The measure of decimal number is 2 tenths + 5 thousandths is 0.205.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given expression

2 x 0.1 + 5 x 0.001

the expanded form is 2 tenths + 5 thousandths

= 2/10 + 5/1000

multiply and divide by 100 in 2/10

we get 200/1000

now 200/1000 + 5/1000 = 205/1000 = 0.205

Hence value of expression is 0.205.

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To make a batch of salad dressing, combine 11 tablespoons of
oil with 22 tablespoons of vinegar. How many tablespoons of
vinegar are needed for every tablespoon of oil?

Answers

You need 2 tablespoons of vinegar for every 1 tablespoon of oil.

What are a ratio and proportions?

A ratio is a way of comparing two or more values by division. A ratio expresses a relationship between two or more quantities. It is a comparison of one quantity to another. For example, the ratio of 3:2, 3 is being compared to 2.

A proportion is an equation that states that two ratios are equal. It can be written as:

a/b = c/d or a:b = c:d, where a,b,c,d are numerical values.

The ratio of tablespoons of vinegar to tablespoons of oil in the salad dressing is given by the ratio of the number of tablespoons of vinegar to the number of tablespoons of oil.

In this case, the ratio is 22 tablespoons of vinegar to 11 tablespoons of oil, or 22/11.

You can simplify this ratio by dividing both numerator and denominator by their greatest common divisor, that is 11

So the ratio of tablespoons of vinegar to tablespoons of oil is 2:1

Another way to express this is that for every 1 tablespoon of oil, 2 tablespoons of vinegar are needed.

So, If you want to know how many tablespoons of vinegar are needed for every tablespoon of oil you can use the proportion:

vinegar/oil = 22/11 = 2/1

Hence, you need 2 tablespoons of vinegar for every 1 tablespoon of oil.

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i need help pls i do not get it

Answers

The perimeter and the area of the fountain is calculated to be

94.25 feet and 625.32 square feet respectively

How to find the perimeter and the area of the fountain

The perimeter of the fountain consisting of two semicircles and a quarter circle is

= perimeter of semicircle * 2 + perimeter of circle * 1/4

= π d + 2 π r * 1/4

for semicircle, diameter, d = 20 ft

for circle, radius r, = 20 ft

substituting the values

= 20π + 2 * π * 20 * 1/4

= 20π + 10π

= 30π

= 94.25 feet

Area of the fountain

= area of semicircle * 2 + area of circle * 1/4

area of semicircle * 2 = area of circle of radius 10 ft

for semicircle, radius, r = 10 ft

for circle, radius r, = 20 ft

= π 10² + π 20² * 1/4

= 100π + 100π

= 200π

= 625.32 square feet

The area of the fountain is 625.32 square feet

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find the area of right angle triangle whose base 9, Height 8?

Answers

Answer:38cm2

Step-by-step explanation:

The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .

Base is 9 cm.

8 centimeters tall.

Triangle area equals 1/2 x base x height

Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.

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To show that NMQ ≈ QPN by SAS, what must be the value or x?

I need help with this please help me

Answers

Answer:

  x = 3

Step-by-step explanation:

You want to know the value of x, given that NM = 5x-1 and QP = 3x+5 in congruent triangles NMQ and QPN.

CPCTC

Corresponding parts of congruent triangles are congruent, so we have ...

  NM = QP

  5x -1 = 3x +5

  2x = 6 . . . . . . . . . . add 1-3x

  x = 3 . . . . . . . . . . divide by 2

Ann's car can go 210 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive?

Answers

Answer:

245 miles

Step-by-step explanation:

210 = 6 gallons

210/6 = how far you can travel with one gallon

210/6 = 35

7*35 = how far you can travel with 7 gallons

7*35 = 245

Answer:

Ann drove 245 miles during her drive last weekend.

Step-by-step explanation:

If Ann used 7 gallons of gas during her drive last weekend, we can use the car's MPG to find out how far she drove by multiplying the number of gallons used by the MPG:

7 gallons * 35 miles/gallon = 245 miles

Solve on the interval [0, 2pi): 4csc x +6=-2

Answers

By solving the interval  : [0,2pi] 4 csc x +6=-2 is  7pi/6 , 11pi/6

What are Trigonometric identities?Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These are identities that, geometrically speaking, involve certain functions of one or more angles. defining sine and cosine in terms of tangent, cotangent, secant, and cosecant interactions. The sine and cosine formula according to Pythagoras. This trig identity is arguably the most significant.

[tex]& 4 \csc x+6=-2 \\[/tex]

[tex]& 4 \csc x=-8 \\[/tex]

Simplifying,

[tex]& \csc x=-2 \\[/tex]

[tex]& \frac{1}{\sin x}=-2 \\[/tex]

[tex]& \sin x=-\frac{1}{2} \\[/tex]

We get,

[tex]& x=\frac{7 \pi}{6}, \frac{11 \pi}{6}[/tex]

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If a state also has a minimum wage, then that is the wage employers in that state are required to pay regardless of the federal wage level.TrueFalse What is the slope of the line that passes through the points (-6, -6) and(-9, -5)? Write your answer in simplest form. You respond to an infant who is unresponsive, is not breathing, and does not have a pulse. You do not have a mobile device, and you shout for nearby help but no one arrives. What action should you take next What are the 4 main parts of a blog? Which of the following statements is true of the functions of human resource management?a. It is a clerical operation in large companies concerned with payroll and employee records.b. It refers to a department that looks into the legal ramifications of policies and procedures that affect only the employees in an organization.c. It is a function concerned with costs, planning, and the implications of various strategies for organizations.d. It refers to a design of formal systems in an organization to manage human talent for accomplishing organizational goals. How does the number of wavelengths vary with the orbital number of the shell?a. The number of wavelengths increases corresponding to the orbital number of the shell.b. The number of wavelengths decreases corresponding to the orbital number of the shell.c. The number of wavelengths does not change with the orbital number of the shell. A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its fi nal height is 6 feet. Determine the vertical distance and the horizontal distance of point P and point Q. (a) P=4m Q=6m. Please select the newly answerable business questions that emerged in the ""modern age"" of marketing Subject: Angles In a Circle I need help with finding out how to get 5, d,e and f and getting the points In this figure, obtaining more books by giving up some movies is called a(n) ______; whereas losing two books in order to gain 1 movie is referred to as ______ cost. How does the food pyramid accomplish these goals do you think the Food Guide Pyramid is effective? What is the best sequence of names toidentify the elements of this set ofnumbers?(0.67,3-4,8,0.14)1) real, rational, irrational, irrational,irrational2) rational, real, integer, irrational,irrational3) rational, rational, real, real,irrational4) rational, rational, integer, irrational,rational Organized efforts to shape public opinion so that government policies will be altered are carried on by ________. Three line segments have measures of 18 units, 12 units, and 10 units. Will the segments form a triangle?Does it form a triangle? When societies make an impact on the environment, this means that they are affecting ___ A. The natural world around themB. The behaviors of people around themC. The cultures of other groups D. The way are grouped into regions Help me im so confused A kite is flying 24 ft off the ground. Its line is pulled taut and casts a 7-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth. Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00- resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.1710-2 s, and (c) t=3.00 s? 5.0 Translate the triangle.The enter the new coordinates.A (-2,4)C(-3,2)B(1,1)A'(-6, [?])B'([ ], [ ])C'([], []) Explain two ways the new evangelisation is important for the Catholic Church today (refer to SOWA)