0.20 is what fraction?

Answers

Answer 1

Answer: 20/100 or 1/5 (reduced)

Step-by-step explanation: To find the fraction, it is helpful to write a proportion. So. if we know every # will be out of 100, we can infer that it will be our whole (can also be represented by being written as 1 ) So now, if we move the decimal 2 places, we now have our fraction 20 out of 100. You can reduce this by dividing the 20 by 20 and the 100 by 20, to get 1/5. I hoped this helped.


Related Questions

90000000000000000x900000000000000

Answers

Answer: 8.1e+31

Step-by-step explanation:

y=−2x+4 (left parenthesis ,-2)

Answers

The equation y = 2x + 4 has the following missing value: 3.

What is an equation's solution?

The x and y values of an ordered pair whose values, if substituted into the equation, would make it true are the answer to the given equation.

According to the Given information

If the value of x is the missing value in the solution to the equation y = -2x + 4, and the solution is (x, -2) Hence, by adding y = -2 to the equation and solving for x, the value of x can be found:

-2 = -2x + 4

Take 4 away from both sides.

-2 - 4 = -2x + 4 - 4 (subtraction property of equality)

-6 = -2x

Add -2 to both sides.

-6/-2 = -2x/-2

3 = x

x = 3

The equation y = 2x + 4 has the following missing value: 3.

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I will give Brainliest. 50 Point question when I give you Brainliest you will get 100 Points!

Answers

The equivalent expressions are:

1. C. 1/15x - 14y

2. B. 2x - 4 - 10x + 15

3. The expression we can use are:

64 + 64(0.015)

4. The expressions that represent the sale price are:

0.7p

p - 0.3p

(1 - 0.3)p

What are Equivalent Expressions?

If the simplest form of two expressions have the same value, then they are equivalent expressions.

1. Simplify 2/5x - 3y - 1/5x - 11y by combining like terms to determine the expression that is equivalent to it:

2/5x - 1/5x - 3y - 11y

1/15x - 14y

The answer is: C. 1/15x - 14y

2. Simplify 2(x - 2) - 5(2x - 3), by first opening the parentheses:

2x - 4 - 10x + 15

The equivalent expression is: B. 2x - 4 - 10x + 15

3. The percentage error allowed is 1.5% = 1.5/100 = 0.015.

Therefore, the expression we can use are:

64 + 64(0.015)

4. 30% is, 30/100 = 0.3.

Original price = p = $100.

0.3 of $100 = 0.3(100) = $30

Sale price = 70% of original price = 0.7(100) = $70.

Therefore, the expressions of the sale price of the bicycle are:

0.7p

p - 0.3p

(1 - 0.3)p

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Can you please help me from number 13 to 16?

Answers

Answer:

Step-by-step explanation:

sorry, i'm not a college student, so i don't know how to answer this.

You have invited g people to a party and expect 80% of them to attend. You estimate that your guests will
each eat p pieces of pizza. If each pizza has s slices, how many pizzas do you expect to be eaten?

Answers

The number of pizza expected to be eaten is equal to the number of persons that attends the party and this is equal to 0.8gp/s

How to find the number of pizzas that will be eaten

From the problem it can be deduced that

number of people invited to the party = g

number of people attending

= 80% of people invited to the party

= 80% of g

and 80% = 80 / 100 = 0.8

therefore,

= 0.8g

You estimate that your guests will each eat p pieces of pizza

= 0.8g * p

= 0.8gp

and each pizza has s slices

the number of slices = s

the number of pizza to be taken is  0.8gp/s

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Convert the complex number z = 3(cos(7pi/6)+ i sin (7pi/6)) from polar to rectangular form. Make sure to evaluate the trigonometric functions.

Answers

Answer:

In rectangular form, a complex number is expressed as $x + yi$, where $x$ and $y$ are the real and imaginary parts, respectively. The conversion from polar form to rectangular form is done using the following equations:

$x = r \cos \theta$

$y = r \sin \theta$

where $r$ is the magnitude (or modulus) of the complex number and $\theta$ is the argument (or phase) of the complex number.

In the given problem, we are given the complex number $z = 3(cos(7pi/6)+ i sin (7pi/6))$. We can write this in polar form as $z = 3 \cdot cis(7pi/6)$, where $cis(x) = cos(x) + i \cdot sin(x)$. Thus, we have $r = 3$ and $\theta = 7pi/6$. Using the equations above, we can convert this to rectangular form to obtain:

$x = r \cos \theta = 3 \cos (7pi/6) = -\frac{3}{2}$

$y = r \sin \theta = 3 \sin (7pi/6) = \frac{\sqrt{3}}{2}$

Therefore, the rectangular form of the complex number is $-\frac{3}{2} + \frac{\sqrt{3}}{2} i$.

Francine received a gift card to buy cell
phone apps. She says that the card’s value
is enough to buy any of the apps:
recipes-$9.50, W02 sports-$10.50, or
Remote desktop-$12.00. Let v be the dollar
value of the gift card. Write an inequality
that best describes the value of the gift
Card.

How many apps can Francine buy with the giftcard? Explain

Answers

The inequality that best describes the value of the gift card is v ≥ 12

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

The inequality that best describes the value of the gift card is v ≥ 12

He can buy apps that are worth greater than or equal to $12

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What is exactly 5/12 of a full rotation

Answers

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

Define full rotation.

A "full rotation," "revolution," "whole turn," or "full circle" describes this. It entails spinning around till you are once again pointing in the same direction. a rotational movement. In rotation, there is a fixed central point around which everything else revolves in a circle. 360° is a "Full Rotation." Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given,

Number = 5/12

Full rotation = 360

5/12 of full rotation

5/12 × 360

5 × 30

150

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

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Please help I don’t understand tomorrow test .

Answers

Answer:

  C)  Always

Step-by-step explanation:

You want to know the values of x for which y is negative, given that y = -|x -2| -4.

Absolute value

The absolute value function always returns a non-negative value. Its minimum value is 0, which will occur for x=2 in this function.

When the absolute value function is negated, as here, the largest the result can be is zero—for any value of x. When 4 is subtracted from that, the largest the value of y can be is -4, again, for any value of x.

  y is always less than 0.

Graph

The attached graph should help you see the vertex (maximum) of the function is (2, -4), and it opens downward. It is negative for all values of x.

HELP ASAP PLS
Simplify the expression.

negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths

−13.16
−9.89
0.49
20.11

Answers

The value of the given expression is -6.93.

How can make the expression simpler?

The question's expression is as follows:

minus 15 plus the amount negative 3 and 7 tenths + 9 and 15 hundredths at the end of the number divided by 5 times 3 squared less 4 and 7 tenths results in the answer.

Correctly reformat the expression

Thus, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Calculate the exponent and quotient.

Thus, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Consider the product

-15 - 3.7 + 16.47 - 4.7

Analyze the difference and the total.

-6.93

Consequently, -6.93 is the value of the supplied equation (none of the options is correct)

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What is √75 in simplified form?

Answers

Answer:

The square root of 75 can be written as √75. To simplify this expression, we can use the property that the square root of a product is equal to the product of the square roots of the factors. In this case, we can factor 75 as the product of 25 and 3:

√75 = √(25 x 3)

We can then apply the property of the square root of a product to simplify the expression:

√75 = √(25 x 3) = √25 x √3

We can further simplify the expression by applying the property that the square root of a perfect square is equal to the number itself. Since 25 is a perfect square, we can simplify √25 to 5:

√75 = √(25 x 3) = √25 x √3 = 5 x √3

Therefore, the simplified form of √75 is 5 x √3. This means that the square root of 75 is equal to 5 times the square root of 3.

Step-by-step explanation:

Solve the following equation using the quadratic formula.
3x² = -2x+4
The solution set is
-1±√√44 i 3
(Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)

Answers

Solution of equation 3x² = -2x+ 4 using the quadratic formula x = -1± √13/3.

Define quadratic formula.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax² + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable. Due to the fact that the Latin word quadratum, which means "square," and the fact that the area of a square with side length x is equal to x², a polynomial equation with exponent two is referred to as a quadratic ("square-like") equation.

Given,

Equation

3x² = -2x+ 4

3x² + 2x - 4 = 0

Using quadratic formula,

x = -2 ± √2²- 4 × 3(-4)/ 2× 3

Simplifying:

x = -2 ± 2√13/6

Equations:

x = -2 + 2√13/6

x = -2 - 2√13/6

x = -1 + √13/3

x = -1 - √13/3

x = -1± √13/3

Solution of equation 3x² = -2x+ 4 using the quadratic formula x = -1± √13/3.

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Please help me this is due today

Answers

Answer:

x=20

Step-by-step explanation:

both of these angles equal each other

3x+50=6x-10

-3x.      -3x

50= 3x-10

+10     +10

60=3x

/3. /3

20=x

hopes this helps please mark brainliest

Which of the following is the most likely the next step in the series?

Answers

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

Weather A TV weatherman's end-of-year analysis of the local weather showed that among all the years for which records had been kept, the past year's average tempera- ture had a z-score of 2.8. What does that mean? A) The past year's average temperature was 2.8° higher than the historical mean. B) The past year's average temperature was 2.8 standard deviations above the historical mean. C) The past year's average temperature was 2.8% higher than the historical mean. D) The past year's temperatures had a standard deviation of 2.8°.​

Answers

The meaning of the z-score of 2.8 for the past year's temperature is that the temperature is 2.8 standard deviations above the historical mean. Option B is correct

B) The past year's average temperature was 2.8 standard deviations above the historical mean.

What is the z-score of a value?

The z-score also known as the standard score indicates the relationship of a value, within a set of value, with the mean of the set of values

Mathematically, the z-score can be presented as follows;

[tex]Z = \dfrac{x- \mu}{\sigma}[/tex]

Where;

x = The point score

μ = The mean score

σ = The standard deviation

The z-score indicates the number of standard deviations a score is from the mean

The z-score of the past year's temperature = 2.8

Therefore, the z-score of 2.8 for the past year's temperature indicates that the past year's temperature was 2.8 times the standard deviation away from (above) the mean of the local weather temperature, (the historical mean temperature) on record.

The correct option is option B)

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1
Given F (0, 2) and G (2,6), if point S lies 1/3 of the way along FG, closer to F than to G, find the
coordinates of S. Leave your answer in fraction form.

Answers

The coordinates of S(x₁, y₁)=(3/2 , 5) if F(0, 2) and G(2,6) and the lines divided in the ratio 1:3

What is a section formula?

Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it. Finding systems' centers of mass, equilibrium locations, etc. are all done using this method in physics. Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it.

Given,

F(0, 2) and G(2, 6)

And also given that the points S lies on the way along FG then:

The lines divides the ratio,

1:3= m:n

Here we have to find the coordinates of S, we get:

S(x₁, y₁)=((mx₁+n x₂)/(m+ n), (my₁+n y₂)/(m+ n))

=((1(0)+3(2))/4 , (1(2)+3(6))/4)

=(6/4 , 20/4)

=(3/2 , 5)

S(x₁, y₁)=(3/2 , 5)

Therefore, the coordinates of S(x₁, y₁)=(3/2 , 5).

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Use Newton's method to find the absolute maximum value of the function
f(x) = 7x cos(x), 0 ≤ x ≤ ,
correct to six decimal places.

Answers

Answer:

Step-by-step explanation:

Newton's method is an iterative method for finding the roots of a function, which means that it can be used to find the values of x that make a function equal to zero. It can also be used to find the maximum or minimum values of a function, but to do so you will need to find the derivative of the function and use that to determine where the maximum or minimum values occur.

The derivative of the function f(x) = 7x cos(x) is f'(x) = 7 cos(x) - 7x sin(x), and you can use this to find the maximum value of the function. To do this, you would need to find the values of x that make the derivative equal to zero, since the maximum or minimum values of a function occur at the points where the derivative is equal to zero.

To find the values of x that make the derivative equal to zero, you can use Newton's method, which involves starting with an initial guess for the value of x, and then using the derivative to find a better approximation for the value of x. This process is repeated until the desired level of accuracy is reached.

In your case, you could start by making an initial guess for the value of x that makes the derivative equal to zero. For example, you could start with x = 0 and then use the derivative to find a better approximation. This process would involve calculating the derivative at the initial guess, and then using that value to find a better approximation for the value of x. This process would be repeated until the desired level of accuracy is reached.

Once you have found the values of x that make the derivative equal to zero, you can plug those values back into the original function to find the maximum value of the function. This will give you the absolute maximum value of the function f(x) = 7x cos(x), 0 ≤ x ≤ , correct to six decimal places.

A club collected $3,472 to buy computers. if each computer costs $680, estimate the number of computers that the club can buy explan
This is how I need to answer it:

Answers

I estimate 5 computers the club can buy because if you divide it will be a on going number so I think 5

Answer:  5 computers

Step-by-step explanation:

You would take the total amount collected and divide it by the cost of a computer.

3472/680=5.10

Since the number is not a whole number you would round down since you can not buy part of a computer. Therefore, the club can only buy 5 computers.

Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the turkey was $25.65. What was the cost of turkey per pound? Write an equation to represent the situation

Answers

The cost of turkey per pound is $1.35 and the equation which represents the situation is 19x - 25.65  = 0.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

19 turkey pound

$25.65

the cost of turkey per pound?

so,

25.65 / 19 = 1.35

the cost of turkey per pound is $1.35.

The equation becomes:

let's take x = $1.35

19x - 25.65  = 0

Hence, the cost of turkey per pound is $1.35 and the equation which represents the situation is 19x - 25.65  = 0.

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Divide the polynomials.
Your answer should be a polynomial.
x² - 36
x − 6

Answers

Answer:

the answer to the division problem is `1x + 6` (a polynomial).

Step-by-step explanation:

To divide polynomials, we use the long division method. Here's how we can divide x² - 36 by x - 6:

x² - 36  |

--------

x - 6

First, we divide the leading coefficient of the numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the first coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

Then, we multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - 36 - (x - 6) = x² - x - 30.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

We repeat the process, dividing the leading coefficient of the new numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the next coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

We multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - x - 30 - (x - 6) = x² - 2x + 24.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

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

x² - 2x + 24

We repeat the process one more time, dividing the leading coefficient of the new numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the next coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

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

x² - 2x + 24

   1

We multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - 2x + 24 - (x - 6) = x² - 3x + 18.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

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

x² - 2x + 24

   1

      x - 6

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

x² - 3x + 18

Since the degree of the new numerator is less than the degree of the denominator, we have found the complete quotient.

So, the quotient is `1x + 6`, and the remainder is `x² - 3x + 18`.

Therefore, the answer to the division problem is `1x + 6` (a polynomial).

Answer:

x + 6

Step-by-step explanation:

[tex]\frac{x^{2} -36}{x-6}[/tex]

[tex]\frac{(x+6)(x-6)}{x-6}[/tex]

x + 6

1cm:10mm into a scale factor

Answers

One centimeter is equivalent to 10 millimeters.  

Converting the cm to mm

10mm:10mm

The scale factor is 1:1 because the two are equal

Hope this helps :)

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- Jeron

An article reported that for a sample of 60 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 163.02.
(a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected. (Round your answers to two decimal places.)

Answers

The 95% confidence interval for true average CO2 level in the population of all homes from which the sample was selected is given as follows:

(612.05, 696.27).

The interpretation is that we are 95% sure that the population mean is between these two values.

How to obtain the confidence interval?

The confidence interval is obtained using the t-distribution, as we have the standard deviation for the sample instead of the standard deviation for the population.

The bounds of the interval are given by the equation presented as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 60 - 1 = 59 df, is t = 2.0010.

The remaining parameters are given as follows:

[tex]\overline{x} = 654.16, s = 163.02, n = 60[/tex]

Hence the lower bound of the interval is of:

654.16 - 2.001 x 163.02/sqrt(60) = 612.05.

The upper bound of the interval is of:

654.16 + 2.001 x 163.02/sqrt(60) = 696.27.

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Convert a housing price of $192/ft2 to euro/m². Use the fact that 1 meter (m) = 3.28 ft and assume that 1
euro = $1.225.

Answers

Answer:

1686 euro/m²

Step-by-step explanation:

$192/ft² × euro/$1.225 × (3.28 ft)²/(1 m)² = 1686 euro/m²

Prime factorization of 64 + 144 as a product of the GCF and a sum of two numbers.

Answers

Answer: 402

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
5 is subtracted from the product of 3 and a number.

Answers

Answer:

  3x -5

Step-by-step explanation:

You want the algebraic expression for "5 is subtracted from the product of 3 and a number".

Product

"The product of 3 and a number" is represented by 3x.

Subtraction

Subtraction is indicated by a minus sign. When 5 is subtracted from the product, the expression is written ...

  3x -5

Stefano owns a restaurant where his customers create their own pasta dishes. The customer chooses exactly one type of noodle, sauce, vegetable, and meat. The following table shows the options available to customers.
Create your own pasta
Noodle options Spaghetti, Penne, Linguine
Sauce options Tomato, Rosa, Alfredo
Vegetable options Mushroom, Onion, Green pepper, Tomato
Meat options Steak, Beef, Sausage, Chicken, Bacon
How many different pasta dishes can customers create

Answers

I love pasta. 5 pastas. Pasta is great. Thanks!

Suppose that the functions g and h are defined for all real numbers X as follows.
g(x)=x+2
h(x)=3x-3
Write the expressions for (h-g)(x) and (h+g)(x) and evaluate (h.g)(1).
Fehmen

Answers

If the two functions be g(x) = x + 2 and h(x) = 3x - 3 then

(h - g)(x) = 2x - 5

(h + g)(x) = 4x - 1

(h . g)(1)  = 3x² + 3x - 6

What is meant by expression ?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: (Math Operator, Number/Variable, Math Operator) is an expression.

Mathematical expressions are built using the addition, subtraction, multiplication, and division operations.

Let the two functions be g(x) = x + 2 and h(x) = 3x - 3

(h - g)(x) = h(x) - g(x)

substitute the value expressions in the above equation, we get

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

= 2x - 5

(h + g)(x) = h(x) + g(x)

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

= 4x - 1

(h . g)(1) = h(1) . g(1)

= (3x - 3) . (x + 2)

= 3x² + 3x - 6

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To raise money, the Boy Scouts bought 60 kg of caramels for $130.80. They sold the caramels in 300 g bags for $2.37 each. How much profit did they make?

Answers

The Boy Scouts made a profit of
$343.20

10. Find x . Round to the nearest tenths place.
11.3
10.7
10.4
11.7

Answers

In the given right angled triangle ABC, the value of x is equal to 10.7 (round to the nearest tenths place).

As given in the question,

In the triangle ABC,

Triangle ABC is right angled triangle with ∠C = 90°

Measure of angle A = 68degrees

AC = 4 units

AB = x units

Using trigonometric ratio,

cos 68° = AC / AB

⇒cos 68° = 4 / x

⇒ 0.3746 = 4 / x

⇒ x = 4 / 0.3746

⇒ x = 10.68

⇒ x = 10.7 ( round to the nearest tenths place)

Therefore, in triangle ABC , the value of x is equal to 10.7(round to the nearest tenths place).

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2
Select the correct answer from the drop-down menu.
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663
for the 6 sets, the cost of each table is
$
54.50
62.00
110.50
159.00

Answers

I believe that the answer is $62.00
Other Questions
In the diagram below, quadrilateral STUV is inscribed in circle W. Find themeasure of U.763W.77 which of the following best describes why is it important for public health agencies and organizations to seek diversification of the profession? what architectural elements (located on the southern and northern corners of the enclosure) of the great mosque in damascus are the earliest in the islamic world? Can you answer these questions, please? what was the main purpose of the u.s. government selling war bonds during world war i? How did Marshall McLuhan believed that the world would turn into a global village? In what ways can the different forms of communication be enhanced with the aid of technology. What are the 4 components to the OSHA standard? a lump sum tax will do what to the average fixed cost two students found the slope of the line shown. tavion used the points (-1,-3) and (0,-1) while jess used the points (3,5) and (0,-1). which of the following is a true statment the nurse-manager recognizes that performance appraisals can be intense and wants to make sure that the process will have a positive outcome for employees. what action best promotes this goal? What is it called when there is a transfer of funds from one private individual to another? Select the correct answer. Which of the following is a solution to 4cos2x 1 = 0? A. 60 B. 150 C. 210 D. 330 what is the term for a special type of study designed to investigate all the studies that currently exist on a topic? a nursing student administers an overdose of an opioid to a client and the client arrests. when discussing the incident with nursing faculty, which statements made by the student indicate the need for further teaching? select all that apply. How successful were the various Civil Rights Movements Choose the correct relative pronoun to complete the sentence. Camryn bought a new notebook, she will use for creative writingthatwhomwhichwho Models used by the Intergovernmental Panel on Climate Change show that by the year 2100, the average annual temperature will have increased in some parts of the world by as much as ________. If the polar ice caps melt due to global warming, water now locked up near the earths rotation axis will spread out around the surface of the globe. Why? Will the length of the day increase or decrease? Umpqua defines other financial institutions that perform banking services as their competitors. therefore they take a/an ___________ of its competition.