I need help now I will give lots of points

I Need Help Now I Will Give Lots Of Points

Answers

Answer 1

Answer:

-12

Step-by-step explanation:

putting value of n in the equation will give you the answer


Related Questions

What is the solution to the system of equations?
Y=2/3+3
y
x = -2

Answers

The solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given system of equation is;

y = 2/3 x + 3     ----------- (1)

x= -2                 ----------- (2)

The value of x has been given in the second equation.

Now, we need to determine the value of y

From the second equation, we have that;

x = -2

Now Substitute the value of x into the first equation,

y = 2/3 x + 3

y = 2/3 (-2) + 3

y = -4/3  + 3

y = 5/3

Hence, the solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

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Write each expression in simplest form. 7∛2 x-3∛2 x

Answers

  We write the expression in its simplest form and we are left with.

4∛2 x

What is an algebraic expression?

    An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

   If we want to express an expression in its simplest form we are talking about a simplification of it, in this case we have the difference of monomials:

7∛2x - 3∛2x.

  As both have the same variable, then the way of reduction is only the subtraction operation

4∛2x

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choose all the values that are equivalent to -(5/3)

1. -5/3 2. 5/-3 3. 5/3 4. -5/-3 5. - (-5/3)

Answers

Fractions represent the parts of a whole or collection of objects. the equivalent  fractions to -(5/3) are -5/3, 5/-3.

What is Fraction?

Fractions represent the parts of a whole or collection of objects.

-(5/3) is a fraction, Actually it a improper fraction with negative sign.

The equivalent fractions are obtained by multiplying same sign or same number in numerator and denominator.

-(5/3)  is equivalent to -5/3

-(5/3)  is equivalent to 5/-3

-(5/3)  is not equivalent to 5/-3

-(5/3)  is not equivalent to -5/-3 because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

-(5/3)  is not equivalent to -(-5/3) because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

Therefore the equivalent fractions to -(5/3) are -5/3, 5/-3.

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You can spend at most $48 at the fair. Game tickets cost $1 each, and ride
tickets cost $3 each. You want to buy at least 4 game tickets and more than 3
ride tickets. Which system of linear inequalities represents the situation?

Answers

Answer:b i think

but im not sure

Step-by-step explanation:

According to the question, equation 3r + g ≤ 48 where r > 3 and g ≥ 4 represents the given situation.

What are linear inequalities?

When two mathematical expressions or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical or as a combination of the two. When a polynomial of degree 1 is compared to another algebraic expression of a degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression.

Given, A maximum of $48 can be spent during the show. Each game ticket (g) costs $1, while each ride ticket (r) costs $3. At least 4 game tickets and more than 3 transportation tickets are what you want to purchase. From that, we can drive that sum of 3 times of ride ticket and game ticket cost should be at least greater than 48. Hence,

$3 * ride cost + $1 * game cost ≤ 48

Therefore, The above circumstance is represented by the equation

3r + g ≤ 48, where r > 3 and g ≥ 4.

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Three pins are inserted into a cork mat at points c, e, and d. the three pins are collinear. how much string is needed to reach from the pin at e to the pin at d and then to the pin at c? leave your answer as a decimal to the nearest tenth.

Answers

Answer:2.7 - 1.1 = 1.6

On a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from (2, 2) to (3, 1), the third line goes from (3, 1) to (5, 3), and the fourth line is horizontal to the x-axis at 3. This graph shows a portion of an even function. Use the graph to complete the table of values. x f(x) −1 −3 −5 −6

Answers

Considering that the function is even, the numeric values are given as follows:

x = -1, f(x) = 1.x = -3, f(x) = 1.x = -5, f(x) = 3.x = -6, f(x) = 3.

What are even and odd functions?

In even functions, we have that f(x) = f(-x) for all values of x.In odd functions, we have that f(-x) = -f(x) for all values of x.If none of the above statements are true, the function is neither.

In this problem, we have that the function is even, hence:

The first line goes through points (0,0) and (2,2), hence y = x, then when x = 1, y = 1 and when x = -1, y = 1, because f(x) = f(-x).f(3) = 1, hence, f(-3) = 1.f(5) = 3, hence f(-5) = 3.Due to the horizontal line, f(6) = 3, hence f(-6) = 3.

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Answer:

1,1,3,3

Step-by-step explanation:

on edge

The fraction n/16 is between 1/2 and 3/4. Write down all the possible values of n

Answers

Answer:

9,10,11 are the values of n

whats are equivalents to 9y +5y +4y

Answers

18y (pls mark me as brainliest answer :)

Recycling Center A processes aluminum at a rate of 100 pounds per hour, while Recycling Center B processes aluminum at a rate of 2 tons per week. Assuming that both centers operate all day every day, which center processes aluminum faster, and why?
1: Recycling Center A processes aluminum faster; Recycling Center B’s rate is about 12 pounds per hour.
2: Recycling Center A processes aluminum faster; Recycling Center B’s rate is about 24 pounds per hour.
3: Recycling Center B processes aluminum faster; its rate is about 120 pounds per hour.
4: Recycling Center B processes aluminum faster; its rate is about 240 pounds per hour.

Answers

We need to know about unitary method to solve the given question. Option () is correct, Recycling Center A processes aluminium faster; Recycling Center B's rate is about 24 pounds per hour.

Unitary method is a method to find out the value for a single quantity and then derive the value for the asked quantity. Here is this question we know Center A processes aluminium at a rate of 100 pounds per hour and center B processes  2 tons per week, we need to know who processes aluminium faster. To find the answer we need to first find how much aluminium center B processes per hour, to find that we need to use unitary method.

1 ton=2000 pounds

so, 2tons=2x2000=4000 pounds

Thus Center B processes 4000 pounds per week

A day has 24 hours, a week has 7 days, we know that the centers operate all day every day so number of hours in a week is

7x24=168 hours

Center B processes 4000 pounds in 168 hours

Center B processes 4000/168 pounds in one hour

Center B processes about 24 pounds in one hour

Therefore, we can see that Center A processes aluminium faster and Center B's rate is about 24 pounds per hour, thus option (2) is right.

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find the coordinates of the missing endpoint if b is the midpoint of ac

C(-5,4) B(-2,5)

step by step explanation

thank you!

Answers

Answer: (1,6)

Step-by-step explanation:

Let the coordinates of A be (x,y).

[tex]\frac{x-5}{2}=-2 \implies x=-4 \implies x=1\\\\\frac{y+4}{2}=5 \implies y+4 =10 \implies y=6\\\\\therefore A=(1, 6)[/tex]

Divide.

−5 5/8÷5

Responses

​​−118
​, ​, negative 1 and 1 over 8

​​−58
​, ​, negative 5 over 8

58
5 over 8

​​118

Answers

The simplified value of the expression −5 5/8 ÷ 5 is −1 1/8

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the solution of the expression?

The expression is given as

−5 5/8 ÷ 5

Convert the mixed fractions to improper fractions

So, we have

−5 5/8 ÷ 5 = −45/8 ÷ 5

Express the quotient as a product

So, we have

−5 5/8 ÷ 5 = −45/8 x 1/5

Evaluate the product of the numerators in the above expression

So, we have

−5 5/8 ÷ 5 = −45/8 x 1/5

Evaluate the product of the denominators in the above expression

So, we have

−5 5/8 ÷ 5 = −45/40

Simplify the result

So, we have

−5 5/8 ÷ 5 = −9/8

Express as a mixed number

So, we have

−5 5/8 ÷ 5 = −1 1/8

Hence, the simplified value of the expression −5 5/8 ÷ 5 is −1 1/8

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PLEASE HELP ME WITH THIS

Answers

The correct way of using the equation is:

$25,475 = (1 - m)*$27,000

And with that we will get that the markdown is of the 5.6%

Which is the correct way of use the given formula?

We know that the original price of the car is $27,000, and there is a markdown such that the new price of the car is $25,475.

Then, if m represents the markdown, we can write the equation:

$25,475 = (1 - m)*$27,000

Now we can solve this for m to get:

1 - $25,475/$27,000 = m = 0.056

If we want this in percentage form, we need to multiply it by 100%.

0.056*100% = 5.6%

the markdown in the price is of the  5.6%

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Determine whether each function is an example of exponential growth or decay. Then find the y -intercept.
y=0.6(1/10)x

Answers

The function y = 0.6 × ( 1/10)ˣ is a form of exponential decay and the value of y-intercept is 0.6.

The term "exponential decay" refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)ˣ, where x is the amount of time that has passed, a is the initial amount, b is the decay factor, and y is the final amount.

Consider the function,

y = 0.6 × ( 1/10)ˣ

This equation is a form of exponential decay because the number being raised in the power is a fraction, and whenever a fraction is raised to a positive power, the result decreases.

In order to determine the y-intercept of the function, we substitute the value of x as zero and find the value of y. Whenever a number is raised to zero power, the answer is always one.

Therefore,

y = 0.6 ( 1/10)ˣ

y = 0.6 × ( 1/10 )⁰

y = 0.6 × 1

y = 0.6

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PleSw help is it true or false

Answers

Answer:

It's True

Step-by-step explanation:

They both pass through the point 'U'ehich means they intersect.

The correct answer is true

Solve for x .

23≥3x−4 or 32<3x−4
Responses

9 12 or x≤9

Answers

Answer:

1. x≤9
2. x>12

Step-by-step explanation:

1. Rewrite so x is on the left side of the inequality.

3x−4≤23

Move all terms not containing x to the right side of the inequality.

3x≤27

Divide each term in 3x≤27 by 3 and simplify.

x≤9

2. Rewrite so x is on the left side of the inequality.

3x-4>32

Move all terms not containing x to the right side of the inequality.

3x>36

Divide each term in 3x>36 by 3 and simplify.

x>12

the Martinez family has 3/4 a gallon of orange juice in the refrigerator. How many cups
of orange juice are in the refrigerator

Answers

Answer:

There are 12 cups of juice in the refrigerator.

Step-by-step explanation:

The conversion --> 1 gallon = 16 cups.

Therefore, [tex]\frac{3}{4}[/tex] a gallon x [tex]\frac{16 cups}{1 gallon}[/tex] = 12 cups.

--

Have a nice day!


Let u=(-1,3), v= (2,4) , and w = (2,-5) . Find the component forms of the following vectors. -3 v

Answers

Given u = (-1, 3), v = ( 2, 4) , and w = (2, -5), by applying scalar multiplication of vectors, -3v = -3.( 2, 4) = (-6, -12)

In the two-dimensional coordinate system, vectors can be split into x-component and y-component.

We can write, for example, a vector s = (4,–2), which means:

x-component = 4

y-component = –2

Some vector operations:

Addition / subtraction of vectors: Just add or subtract the corresponding components.
For example: q= (1,6) and s = (5,-3)
Then,
q + s = (1,6) +  (5,-3) = (1+5, 6-3) = (6, 3)Scalar multiplication: Multiply each component by the given scalar.
For example: t = (2,–1)
Then,
5t = 5. (2,–1) = (5 . 2, 5 . (–1)) = (10,–5)

In the given problem:

u = (-1, 3), v = ( 2, 4) , and w = (2, -5)

Then,

-3 v = -3 . (2, 4)

      = ( -3 . 2, -3 . 4)

      = (-6, -12)

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The depth of a local river averages 16 ft, which is represented as |−16|. In January, it measured 4 ft deep, or |−4|, and in July, it was 18 ft, or |−18|. What is the difference between depths in January and July?
22 feet
14 feet
10 feet
2 feet

Answers

The answer is C. 14 feet

Answer:14 ft

Step-by-step explanation:hope it helps, brainliest? i could really use it

Help please, I don't know what to do​

Answers

The listed elements of the sets are as follows:

X = {1, 2, 3, 4, 5}Y = {2, 4, 6, 8 }U = {1, 2, 3, 4, 5, 6, 7, 8, 9}X ∪ Y = {1, 2, 3, 4, 5, 6, 8}X ∩ Y = {2, 4}X' = {6, 7, 8, 9}(X ∩ Y)' = {1, 3, 5, 6, 7, 8, 9}

How to list elements of a sets in a Venn diagram?

Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.

The sets in the Venn diagram are U, X and Y.

Therefore, let's find the elements of the sets.

X = {1, 2, 3, 4, 5}Y = {2, 4, 6, 8 }U = Universal sets = {1, 2, 3, 4, 5, 6, 7, 8, 9}X ∪ Y = {1, 2, 3, 4, 5, 6, 8}X ∩ Y = {2, 4}X' = {6, 7, 8, 9}(X ∩ Y)' = {1, 3, 5, 6, 7, 8, 9}

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Select the expression that matches the scenario correctly. On January 1, the high temperature was 81 F in Kona, Hawaii the low temperature was -29 F in Barrow, Alaska. What was the difference between the two temperatures?
A. -29 + 81
B. |89 - 21|
C. |81 - (-29)|
D. 36 divided 6

Answers

The difference between the two temperatures is mathematically given as

|81 - (-29)| Option C

This is further explained below.

What was the difference between the two temperatures?

Generally, the equation is  mathematically given as

h-l=d

Therefore

81-(-29)=d

81+29=d

d=110

In conclusion,, in magnitude form

|81 - (-29)|=|81 +29|=|110|=110

|81 - (-29)|

Option C is correct

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The per capita consumption (in pounds) of all poultry in a country is approximated by the function C(x) = 2.49x +93.19, where x is the number of years since 2001. Find and interpret C(1), and
estimate the per capita consumption of all poultry in the country in 2010.
a. Find and interpret C(1).

Answers

The value at intercept C(1) is 95.68 pounds

The estimated per capita consumption in the year 2010 will be 115.6 pounds

Part a:

Per capita consumption of all the poultry in a country is given by the function C(x) = 2.49x + 93.19

Finding intercept C(1):

For C(1) the value of x will be 1

C(1) = 2.49(1) + 93.19

C(1)  = 95.68

Hence, the value at intercept C(1) is 95.68 pounds

Part b:

Finding the per capita consumption in the year 2010:

where x will be 9, as the time period from 2001 to 2010 is 9 years

C(2010) = 2.49(9) +93.19

= 22.41 + 93.19

= 115.6

Hence, the estimated per capita consumption of all the poultry in the country will be 115.6 pounds in the year 2010

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first person to answer gets brainliest

Answers

Given the dimensions of the shape, the length of PR can be found to be 19.8 units.

How to find the length of PR?

The given triangle is an equilateral triangle which means that all the sides are equal.

That then means that:

PR = QR

So we can solve as:

2n + 9 = 7n - 18

Solving for n gives:

7n - 2n = 18 + 9

5n = 27

n = 5.4

The length of PR is therefore:

= 2n + 9

= 2 (5.4) + 9

= 19.8 units

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Need answer asappppp

Answers

The Perimeter of the composite figure = 44.2 units.

How to Find the Perimeter of a Composite Figure?

The perimeter of the composite figure = TU + UV + VW + WX + XQ + QR + RS + ST.

Length of TU = 3 units

Length of UV = 11 units

VW = 9 units

XQ = 5 units

QR = 2 units

Use the distance formula, d = [tex]\sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}[/tex], to find the lengths of WX, RS, and ST.

W(-2, -6)

X(-5, -3)

R(-3, 2)

S(0, 0)

T(4, 5)

WX = √[(−5−(−2))² + (−3−(−6))²]

WX = √18 ≈ 4.2

RS = √(0−(−3))² + (0−2)²]

RS = √13 ≈ 3.6

ST = √[(0−4)² + (0−5)²]

ST = √41 ≈ 6.4

Perimeter of the composite figure = 3 + 11 + 9 + 5 + 2 + 4.2 + 3.6 + 6.4

Perimeter of the composite figure = 44.2 units.

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A piece of ribbon of length 1m 10cm was cut off from a length 5m. What length remained?.​

Answers

The length of ribbon that remained is 3m and 90 cm which is calculated by subtracting the cut length from the total length of the ribbon.

An arithmetic operation called subtraction simulates the process of removing items from a collection.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as negative integers, fractions, irrational numbers, vectors, decimals, functions, and matrices, however it is typically linked with natural numbers in mathematics.

The total length of the ribbon is is 5 meters or 500 centimeters. The length of the piece of ribbon that was cut is 1 m 10 cm=110 cm.

Length of the ribbon that remained is calculated by subtracting the total length form the cut off length 500-110 = 390 centimeters.

390 centimeters= 3 meters and 90 centimeters.

So the length that remained is 3 meters and 90 centimeters.

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A 99-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?

Answers

Hello There!

The answer you are looking for is **8.25**.

Explanation:

If you do 8.25*12, you will get 99.

```Fact checking:

8.25*2= 16.50

8.25*4= 33.00

8.25*6= 49.50

8.25*8= 66.00

8.25*10= 82.50

and finally 8.25*12= 99.00

Since it is in inches- it would be 8 1/4in. or 20.955cm.

Hope this helps :)

Ukiah

Answer: 0.121212121  

Step-by-step explanation:   [tex]\frac{99}{1}[/tex]=[tex]\frac{12}{x}[/tex]

Cross multiply

99x= 12

divide both sides by 99

[tex]\frac{99x}{99} =\frac{12}{99}[/tex]

99 cancel 99 leaving x =[tex]\frac{12}{99}[/tex]=[tex]\frac{4}{33}[/tex]

in decimal

x= 0.121212121


Set up a proportion and use it to solve for x.

Answers

The value of x is 7.

what is proportion?

A proportion is an equation in which two ratios are set equal to each other.

Now, setting up the proportion we have

6/4 = x+6 / 4+8

3/2 = x+6 / 12

12*3 = 2(x+6)

36 = 2x + 12

2x = 36-12

2x= 14

x=7

Hence, the value of x is 7.

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what is the interval notation for the compound inequality x is less than or equal to -5 or x > 4

Answers

Answer:%

Step-by-step explanation:


Factor each expression completely. x²+4 x+4

Answers

The factoring of the expression x²+ 4x+4 is (x+2)²

To solve this exercise, we have to follow the rules of factoring:

x²+ 4x + 4

1. Looking for the a and b number that state the following equations:

a + b = 4a * b = 4

Analyzing that (a*b) is a positive number, it means that (a) and (b) have the same signs.

The number could be:

a = 2

b = 2

Confirming:

a + b = 2 + 2 = 4

a * b = 2 * 2 = 4

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x+2) (x+2)

3. Rewriting as the square of a binomial, we get:

(x+2)²

What is factoring?

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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Name a line that contains point b

Answers

your answer is line h

Answer:

I think the answer is c.CB

The mean of the 5 observations in the following table is 5. 1. Fill in the missing values. X = X 14 3 -10 12 6 Download CSV 2. Determine the following sums: Σ(-x) = Σ(x - x)² = xx 3. Sample variance, s² = (x − x)² 4. Report the sample standard deviation accurate to 2 decimal places. Sample standard deviation, s =​

Answers

The mean, summation of (x - μ), summation of (x - μ)², variance, and standard deviation will be 5, 0, 360, 72, and 8.49, respectively.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation. The standard deviation is given as,

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]

The data set is given below.

14, 3, -10, 12, 6

The mean of the data will be

μ = (14 + 3 - 10 + 12 + 6) / 5

μ = 25 / 5

μ = 5

The summation of the (x - μ) will be

∑(x - μ) = (14 - 5) + (3 - 5) + (- 10 - 5) + (12 - 5) + (6 - 5)

∑(x - μ) = 9 - 2 - 15 + 7 + 1

∑(x - μ) = 0

The summation of the (x - μ)² will be

∑(x - μ)² = (14 - 5)² + (3 - 5)² + (- 10 - 5)² + (12 - 5)² + (6 - 5)²

∑(x - μ)² = (9)² + (-2)² + (-15)² + (7)² + (1)²

∑(x - μ)² = 81 + 4 + 225 + 49 + 1

∑(x - μ)² = 360

Then the standard deviation (σ) will be

σ = √(360 / 5)

σ = √72

σ = 8.49

Then the variance (σ²) will be

σ² = 8.49²

σ² = 72

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AWhich of the following doesnot have a horizontal line ofsymmetry?EBACO A scientist conducted an experiment to determine how the amount of salt in a body of water affects the number of plants that can live in the water. In this experiment the dependent variable is Complete the inequality below to describe the domain of the graph shown. Domain: < x < 4 How does the metaphor "beasts of burden onpage 5 contribute to the theme of Kelley'sspeech?It suggests that using child labor is already againstthe law.It supports the argument that children are beingmistreated.It illustrates the weakness of young children whencompared to working animals.It puts forth the idea that working animals are nottreated humanely. Write each equation in logarithmic form. 10=0.01 Whose perspective does the passage show?What does the reader learn from this perspective? why people dislike abraham lincoln? Being a citizen of the United States grants a person certain rights. But it also comes with responsibilities. By using those rights, every person can influence US politics and society.For each of the following rights, list one or two responsibilities that go along with using that right:freedom of speechfreedom of the pressfreedom of assembly (the right to hold public meetings, protests, and demonstrations) Why is rhyme easier in Romance languages than it is was in Old English? A. Romance languages have masculine and feminine word endings, which naturally rhyme. B. Romantic words are more likely to rhyme than words that are not used to inspire love. C. Old English comes from Germanic and Goth, which never ended their words similarly. D. Old English is almost entirely derived from Latin, which has unique word endings. Ahmed is an employee of Bristol Manufacturing Company. Bristol manufactures plastics, which creates large amounts ofLtoxic waste that must then be disposed of. Ahmed is responsible for making sure this toxic waste is properly disposed of. To cut costs, Ahmed decides to divert the liquid waste into a local stream, instead of properly disposing of it. This is adirect violation of the Clean Water Act, a national law that protects the United States' waterways. Sanford is the director ofthe division in which Ahmed works and knows that Ahmed is doing this. When the authorities discover Ahmed's unlawfulactions, can Bristol be held criminally liable? forms of arbitrary detention Your lab partner obtains 5.36 grams of a 3% hydrogen peroxide solution. What is the other 97%?________________ What is the mass of hydrogen peroxide (H2O2)? In a purely customer focused environment service measurement is typically in terms of? Pls help ASAP!! Marking 50 points! according to her discussion with agent nye, how does perry's sister feel about him, and why did she write him so often when he was in prison? what is important about the fact that perry's sister never lived in fort scott, kansas? Escoge la mejor respuesta.Qu se encuentra en las pampas de Argentina?montaascaballoscarne asadagauchosmultiple choice Suppose a farmer knows that he will be able to harvest and sell 3,000 bushels of wheat. would he prefer a market in which conditions are favorable and most farmers harvest large crops or a market in which conditions are unfavorable, and many farmers harvest small crops? why? Why did some newspapers compare the steel-workers strike to the beginning of a communist revolution? The food, the music, the celebration! Who doesn't love a great festival? Here in Copper Springs, we have some marvelous annual festivals: the Winter Festival of Lights, Cowboy Carnival, and the Fall Fair. These festivals draw big local crowds. But to bring in visitors from other parts of the state and give local businesses a boost, we should add a new festival: the Raging River Revel.Nothing defines our town more than the beautiful Copper River, which flows right through downtown. The river is an especially "splashy" attraction in springtime, when melting snow flows down from the mountains in spectacular fashion. The rushing rapids would certainly appeal to adventure tourists and nature lovers everywhere.What if our new Raging River festival started a wacky river raft race featuring creative rafts that could be judged? We could also hold fishing competitions to draw more outdoor enthusiasts. Add some vendors, food, and live bands, and the new Raging River Revel could really help Copper Springs make a splash!Which sentence best summarizes the author's point of view about starting the Raging River Revel in Copper Springs? How do businesses solve the problem of an economic shortage? A. They will move prices to the market equilibrium price. B. They will lobby for higher tariffs on imports. C. They will stop production until government provides cubsidies.