I NEED HELP THIS IS DUE TOMORROW!!!

I NEED HELP THIS IS DUE TOMORROW!!!

Answers

Answer 1

The ratio of the new area to the old area is 16:1. The correct option is the second option

Calculating the area of a circle

From the question, we are to determine the statement that is true about the area of the circle.

First, we will determine the old area

Using the formula for calculating the area of a circle

A = πr²

Where A is the area

and r is the radius

From the given diagram,

r = 6 ft

Thus,

Old area = π × 6²

Old area = 36π ft²

Now,

If the radius is quadrupled

That is,

r = 4 × 6 ft

r = 24 ft

The new area will be

A = π × 24²

A = 576π ft²

The ratio of the new area to the old area is

576π ft² / 36π ft²

16 /1

= 16 : 1

Hence, the ratio is 16:1

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Related Questions

Solve for x in this triangle. Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

7

0.7 times square root of 300

Answers

The value of the expression 0.7 x √300 is 12.124.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.7 x √300

This can be written as,

= 0.7 x √3 x √100

= 0.7 x 1.732 x 10

= 12.124

Thus,

The value is 12.124.

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E) how to find the first 4 terms in the expantion of ( 1 + 2x ) to power 6 ?

Answers

the first 4 term is (1+2x)^6

Do the values in the table represent a proportional relationship?


x 2 3 4 5

y 5 6 7 8

Select from the drop-down menu to correctly complete the statement.


All of the y-values

Choose.

a constant multiple of the corresponding x-values, so the relationship

Choose

Answers

Values of x and y in table does not represent a proportional relationship.

From the table x values 2, 3, 4 and 5 corresponds to values of y 5, 6, 7 and 8 respectively. The ratio of x value and y value is

2/ 5 = 0.4

3/ 6 = 0.5

4/ 6 = 2/ 3 ≈ 0.67

5/ 8 = 0.625

As the ratio is not constant, the values in table does not represent a directly proportional.

The value of xy is

2×5 = 10

3×6 = 18

4×7 = 28

5×8 = 40

Again as the value of xy is not constant, so they are not inversely proportionally.

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One-fifth of a bread loaf was shared equally among Herb, Dara, Mark, and Lily. What fraction of the original bread loaf did each person get?

Answers

Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.

What do you mean by proportion?

A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.

What do you mean by ratio?

A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.

Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.

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3 1/2 x 1 1/2 as a mixed number in simplest form

Answers

Answer: 8 3/4 because first find your common denominator, then solve the math and you will get 8 3/4

When 32 is subtracted from the square of a number, the result is 4 times the number. Find the positive solution

Answers

Step-by-step explanation:

x² - 32 = 4x

x² - 4x - 32 = 0

with a little bit experience we see immediately that this is

(x - 8)(x + 4) = 0

the positive x for this to be true is x = 8.

formally, the solution to a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = (4 ± sqrt((-4)² - 4×1×-32))/(2×1) =

= (4 ± sqrt(16 + 128))/2 = (4 ± sqrt(144))/2 =

= (4 ± 12)/2 = 2 ± 6

x1 = 2 + 6 = 8

x2 = 2 - 6 = -4

we were right at the beginning.

the positive solution is x = 8.

Find the Values of x and y​

Answers

The values of x and y could be 25 and 113

What are parallel lines ?

parallel lines can be stated as , they both are equi distant from each other and which never intersect.

From the given figure,

y+12 = 3x + 50

as both are parallel to each other.

y-3x = 38

and 5x  = y + 12

as vertically opposites are always equal .

y = 3x + 38

y = 5x - 12

hence,

5x - 12 = 3x +38

2x = 50

x = 25

put x = 25 in y = 3x + 38

y = 3 * 25 + 38

y = 113

hence the values of x and y are 25 and 113 respectively.

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7(3n + 2) - 3n - 5 i need to factor it tysvm!!

Answers

The answer to the Linear expression 7(3n + 2) - 3n - 5 is 18n + 11

What is a linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

From the expression 7(3n + 2) - 3n - 5

By expanding the bracket, we have

21n + 14 - 3n - 5

By collecting like terms, we have

21n - 3n + 14 - 3

18n + 11

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In the diagram below, \overline{MN}
MN
is parallel to \overline{JK}
JK
. If MNMN is 1212 more than LNLN, LK=33LK=33, and JK=55JK=55, find the length of \overline{LN}
LN
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.

Answers

The value of the missing length LN of the similar triangles is; LN = 18

How to solve Similar Triangles?

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means therefore that, if two triangles are similar, then we can say that their corresponding angles are congruent and also their corresponding sides are in equal proportion.

In the given triangle attached, we can say that if we apply the concept of similar triangles, we will get;

LN/LK = MN/JK

We are told that;

MN is 12 more than LN. Thus; MN = 12 + LN

LK = 33

JK = 55

Thus;

LN/33 = (12 + LN)/55

55LN = 33(12 + LN)

55LN = 396 + 33LN

22LN = 396

LN = 396/22

LN = 18

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A woman looking out from the window of a height 30m, observed that the angle of depression of the top of a flagpole was 44°. if the foot of the pole is 25m from the foot of the building and on the same horizontal ground, find, correct to the nearest whole number, the angle of depression of the foot of the pole from the woman

Answers

Answer:

here is your answer = 56.7m

set an expression negative -4n +3+9n-4 is equivalent to 4N. What error did Maria likely make?

Answers

The error that Maria likely make is that she subtracted 1n from 5n.

How to infer the error?

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The value of the expression will be:

= -4n +3+9n-4

= 5n - 1

The error was because 1n was minus from 5n

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Find the first three terms of the sequence:
a₁ = 2.25, an = an-1 +0.5

Answers

The first three terms of the sequence are 2.25, 2.30, and 2.35.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

a(1) = 2.25

a(n) = a(n - 1) + 0.5

Now,

The first term = 2.25

The second term.

a(2) = a(1) + 0.5

= 2.25 + 0.5

= 2.30

The third term.

a(3) = a(2) + 0.5

= 2.30 + 0.5

= 2.35

Thus,

The first three terms are 2.25, 2.30, and 2.35.

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Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)

Answers

The graph is forming a function but it is not an one-one function.

If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.

If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.

The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).

However, the graph is not a one-to-one function.

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a shopper purchased 8 t-shirts and 5 pairs of pants for $220. the next day, he purchased 5 t-shirts and 1 pair of pants for $112.How much does each t shirt and each pair of pants cost?

Answers

Answer:

Step-by-step explanation:

Let the costs of 1 t - shirt and 1 pair of pants be 'x' and 'y' respectively then:

Case 1 --> 8x + 5y = 220 ----------(1)

Case 2 --> 5x + y = 112 ----------(2)

Multiplying equation (2) by 5:

8x + 5y = 220

25x + 5y = 560 ------(3)

Subtracting equation (1) from equation (3) we get :

17x = 340

x = 20

Putting x in (2):

5 x 20 + y = 112

y = 12

therefore, cost of each t-shirt is 20 rupees and the cost of each pair of pants is 12 rupees

Alaska is the biggest state in the United States of America. Write the given definition as a biconditional. A. A state is Alaska if and only if it is the smallest state in the United States of America. B. A state is the biggest state in the United States of America if and only if it is not Alaska. C. If a state is Alaska, then it is the biggest state in the United States of America. D. A state is Alaska if and only if it is the biggest state in the United States of America

Answers

D. A state is Alaska if and only if it is the biggest state in the United States of America is the correct biconditional statement.

Give reason for your answer.

This is the correct biconditional statement because it accurately reflects the information given. The statement states that a state is Alaska if and only if it is the biggest state in the United States of America. This is true, as the given information states that Alaska is the biggest state in the United States of America.

Option A is incorrect because it says that a state is Alaska if and only if it is the smallest state in the United States of America which contradicts the given information.Option B is incorrect because it says that a state is the biggest state in the United States of America if and only if it is not Alaska, and that is not true. Alaska is the biggest state in the United States of America and it contradicts the given information.Option C is correct, but it is not a biconditional statement, it is a conditional statement, it states that if a state is Alaska, then it is the biggest state in the United States of America, but it doesn't have the "if and only if" part.

Therefore, statement D is the correct biconditional statement that reflects the given information that Alaska is the biggest state in the United States of America.

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Hays is standing outside on a sunny day. he is 6 ft tall and casts a 4 ft shadow. what is the distance from the top of hays's head to the end of his shadow? round to the nearest tenth, if necessary. responses
a. 4.5 ft
b. 4.5 ft
c. 5 ft
d. 5 ft
e. 7.2 ft
f. 7.2 ft
g. 10 ft

Answers

Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft

Hays' body and his shadow are perpendicular.

So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.  

Then you can stand back and let Pythagoras figure out the length of the line for you, using c²  =  a² + b²

(Distance)²=(Hay's height)²+(length of his shadow)²

(Distance)²=(6 ft)² + (4 ft)²

(Distance)²=(36 ft²) + (16 ft²)

(Distance)=52 ft²

Distance =√(52 ft)²

Distance = 7.21 ft

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Why is it important to use
estimation when solving problems?

Answers

Answer: Without estimation skills, students aren't able to determine if their answer is within a reasonable range.

Step-by-step explanation:

to make sure your answer at least make sense to the question

What is the expression for f(x)f(x)f, left parenthesis, x, right parenthesis when we rewrite \left(\dfrac{1}{49}\right) ^{x}\cdot \left(\dfrac{1}{7}\right)^{6x 11}( 49 1 ​ ) x ⋅( 7 1 ​ ) 6x 11 left parenthesis, start fraction, 1, divided by, 49, end fraction, right parenthesis, start superscript, x, end superscript, dot, left parenthesis, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, 6, x, plus, 11, end superscript as \left(\dfrac{1}{7}\right)^{f(x)}( 7 1 ​ ) f(x) left parenthesis, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, f, left parenthesis, x, right parenthesis, end superscript ? f(x)=

Answers

The expression for f(x) using exponent properties is 8x+11.

Let's first simplify the following statement in order to determine f(x):

[tex]\[\left(\frac{1}{49}\right)^x \cdot \left(\frac{1}{7}\right)^{6x + 11}\][/tex]

Rewrite now with [tex]\(\left(\frac{1}{49}\right)^x\)[/tex] and [tex]\(\left(\frac{1}{7}\right)^{6x + 11}\)[/tex] as a single term's powers:

[tex]\[\left(\frac{1}{7^2}\right)^x \cdot \left(\frac{1}{7}\right)^{6x + 11} \][/tex]

Now, using the rule for exponents [tex](a^{(m*n)} = (a^m)^n)[/tex],

Combine the following words using the same base (1/7 in this case):

[tex]\[ \left(\frac{1}{7}\right)^{2x} \cdot \left(\frac{1}{7}\right)^{6x + 11} \][/tex]

Add their exponents to multiply phrases with the same base:

[tex]\[ \left(\frac{1}{7}\right)^{2x + (6x + 11)} \][/tex]

[tex]\[ \left(\frac{1}{7}\right)^{(8x + 11)} \][/tex]

Now, the given expression becomes:

[tex]\[ \left(\frac{1}{7}\right)^{(8x + 11)} \][/tex]

Now, compare  [tex]\(\left(\frac{1}{7}\right)^{f(x)}\)[/tex],and [tex]\(f(x) = 8x + 11\)[/tex] gives f(x) = 8x+ 11.

So, the expression for f(x) is: [tex]\[ f(x) = 8x + 11 \][/tex].

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The question attached here is in appropriate form the appropriate form is

Find the expression for f(x) when rewriting the following expression in the form [tex]\(\left(\dfrac{1}{7}\right)^{f(x)}(7^1) ^{\dfrac{1}{49}^x \cdot \dfrac{1}{7}^{6x+11}}\):[/tex]

[tex]\(\left(\frac{1}{49}\right)^x \cdot \left(\frac{1}{7}\right)^{6x + 11}\)[/tex]

PROBLEM SOLVING Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

We will start by calculating the probability of drawing a spade from one deck, and then square it since we need to get the chance of getting two spades. We know there are 13 spades in a deck, out of 52 cards, giving us:

[tex]\frac{13}{52}[/tex]


Which can be simplified to :

[tex]\frac{1}{4}[/tex]

Then, we will square this fraction since we need two spades in a row:

[tex]\frac{1}{4} * \frac{1}{4} = \frac{1}{16}[/tex]

So the probability is [tex]\frac{1}{16}[/tex].

Hope this helped!

How do you find the slope of a logarithmic function?

Answers

By taking derivative, slope of the logarithmic function can be found.

The slope of a logarithmic function can be found by taking the derivative of the function with respect to x using the rules of logarithmic differentiation. The general form of the derivative of a logarithmic function is:

d/dx(log(f(x))) = (1/f(x))*(df/dx)

The slope means change in Y with respect to change in X. The slope is the ratio of the rise to run and it shows the steepness of the plane.

The slope is denoted by m.

Example:

Find the slope of y = log(x^2+1)

d/dx(log(x^2+1)) = (1/(x^2+1))*(2x) = 2x/(x^2+1)

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Question 3(Multiple Choice Worth 5 points) (05.01)A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet. A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged

Answers

Answer: 72 feet²

Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²

A rectangle has an area of 7. 5m2.

One of the sides is 0. 3m in length.

Work out the perimeter of the rectangle.

Answers

The perimeter of rectangle could be  50.6 if a rectangle has an area of 7. 5 and One of the sides is 0. 3m in length.

What is Area of rectangle ?

area of rectangle could be the product of its sides that is length and breadth.

Given the area of rectangle is 7.5

one of its side, length = 0.3

let other side be x .

area = length*breadth

7.5 = 0.3 * x

x = 25

hence , other side could be 25.

perimeter of rectangle = 2 (length+breadth)

= 2 * (25+0.3)

= 2 * (25.3)

= 50.6

Hence, The perimeter of rectangle is 50.6

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Carolina is mowing lawns for a summer job.for every mowing job,she charges an initial fee plus $6 for each hour of work.her total fee for a 4-hour job,for instance is $32

Answers

The function Formula is, f(t) = 6t + 8.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation.  The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.

Given:

Carolina charges an initial fee plus $6 for each hour of work

Her total fee for a 4-hour job = $32

So, if she work for 't' hours then linear equation will be of the form

f(t) = mt + b

Here m is the constant rate = 6

Now we plug in the values and find out b, m=6

f(t) = mt + b

32 = 6(4) + b

32= 24 + b

8 = b

So, the function is f(t) = 6 t+8.

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How do you find the unknown part of a right triangle?

Answers

To find the unknown part of a right triangle, you can use the Pythagorean theorem or the trigonometric ratios.

A right triangle is a triangle that has one angle measuring exactly 90 degrees, this angle is called the right angle.

To find the unknown part of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (the hypotenuse). The formula is:

a² + b² = c²

Where c is the length of the hypotenuse and a and b are the lengths of the legs.

You can use this theorem to find the length of a missing side, if you know the length of the other two sides. For example, if you know the lengths of the two legs (a and b) and you need to find the length of the hypotenuse (c), you can use the formula:

c = √(a² + b²)

Alternatively, if you know the length of the hypotenuse (c) and one leg (a), you can use the formula to find the length of the other leg (b):

b = √(c² - a²)

Another way to find the unknown part of a right triangle is the use of trigonometric ratios. As you know, in a right triangle, there are three main ratios: sine, cosine, and tangent. These ratios are defined as follows:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Where A is one of the acute angles of the triangle, and a,b,c are the sides of the triangle. By using the known side and the known angle you could find the unknown side.

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please help me with this question!

Answers

Answer:

|5-2x|<_11

=5+2x<11

=2x=11-5

2x=6

=X<-3

Express 1/2 loga16 + 1/3loga27 as logab

Answers

Answer:

[tex]log_{a}[/tex] 12

Step-by-step explanation:

using the properties of logarithms

• nlog x ⇔ log[tex]x^{n}[/tex]

• log x + log y = log (xy)

[tex]\frac{1}{2}[/tex] [tex]log_{a}[/tex] 16 + [tex]\frac{1}{3}[/tex] [tex]log_{a}[/tex] 27

= [tex]log_{a}[/tex] [tex]16^{\frac{1}{2} }[/tex] + [tex]log_{a}[/tex] [tex]27^{\frac{1}{3} }[/tex]

= [tex]log_{a}[/tex] [tex]\sqrt{16}[/tex] + [tex]log_{a}[/tex] [tex]\sqrt[3]{27}[/tex]

= [tex]log_{a[/tex] 4 + [tex]log_{a}[/tex] 3

= [tex]log_{a}[/tex] (4 × 3)

= [tex]log_{a}[/tex] 12

Is log e and log same?

Answers

The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.

The log with a base "e" (log e) is the same thing as In

The natural logarithmic function log e  refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;

We can say that:

log e = ln

Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.

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Is a polynomial yes or no?

Answers

we can find out the polynomial by the degree of the Polynomial.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division

Degree of polynomial

The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.

Types of polynomial

Depending upon the number of terms, polynomials are divided into the following categories:

1-Monomial

2-Binomial

3-Trinomial

4-Polynomial containing 4 terms (Quadronomial)

5-Polynomial containing 5 terms (pentanomial ) and so on.

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The granola is selling for $2.88 and weighs 18 ounces. The
flaked cereal is selling for $4.32 and contains 24 ounces.
Which is the better buy? Show your thinking.

Answers

The granola that is selling for 2.88 and weighs 18 ounces
Other Questions
Patients with damage in the left hemisphere often exhibit aphasia (inability to use or comprehend words). This is an example of 7{-7+8[5-3(4+6)]-9(9-4)} How do you describe yourself in a paragraph example? Societies may have different perspectives on the use of technology.which technological concerns is likely to be most relevant for the people living in this environment? what makes a person creative? End of Chapter Problem Suppose that the economy is currently at potential output. Also suppose that you are an economic policy maker, and that a college economics student asks you to rank, if possible, your most preferred to least preferred type of shock: positive demand shock, negative demand shock, positive supply shock, negative supply shock. How would you rank them How do you calculate sound intensity level? A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer Tamara uses 8.5 of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint, and the rest is white paint . How many pints of white paint did she used to paint her bedroom walls Two ropes are tied to a steel ring, and a student holds the free end of each rope. The students then pull on the ropes in a tug-of-war. If the forces exerted by the students are unbalanced, what happens to the ring ?A. The ring remains at rest.B. The ring moves at a constant velocity.C. The ring accelerates in the direction of the net unbalanced force.D. The ring accelerates in the direction opposite the net unbalanced force. How do the overload and progression principles work together for strength training? How was anti-Jewish legislation in Germany established? (5b + 16)(b + 32)What is the value of b ? b = NEC 422.16(B)(4) permits a range hood to be cord-and-plug connected. The receptacle would be installed ____ the range. ____ is the requirement that every employee be able to perform the work of another employee.a. Collusion b. Task rotation c. Duty exchange d. Two-man control In Missouri, when the buyer and seller are represented by different brokers, who is responsible for delivering the closing statements Draw the phasor for the emf = (170 V) cos ((2pi*60 Hz)t) at t = 60 ms. Tail at the origin. Which of the following elements can be isolated by electrolysis of the aqueous salt shown? O Phosphorus from K3PO4 (aq) O Sodium from NaBr (aq) O Aluminum from AlCl3 (aq) O ch Fluorine from KF(aq) O lodine from Nal (aq) To protect yourself from being electrocuted by contact with overhead power lines, you should always assume overhead lines are energized and keep yourself and equipment and at least ________ away from power lines up to 50KV the sum of 1/4 a number and 5 is 3. What is the number?