Steps are very much required they should be clear and neat please i need to understand this I'm taking a practice test for my future sats

ill report in inappropriate answers

Steps Are Very Much Required They Should Be Clear And Neat Please I Need To Understand This I'm Taking

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{4x+5+7x-6-8x+2}{3}[/tex]

         = [tex]\frac{3x+1}{3}[/tex]

         = [tex]\frac{3x}{3}[/tex] + [tex]\frac{1}{3}[/tex]

        = x + [tex]\frac{1}{3}[/tex]


Related Questions

Your load is a container full of water. The container measures
1.0m x 1.25m x 1.1m and weighs 50kg when empty. Since 1 cubic
metre of water weighs 1 tonne, find the weight of the load

Answers

Answer:

1282kg

Step-by-step explanation:

1.0*1.12*1.1=1.232 tonnes

50kg + 1232kg = 1282kg

Hope this helps :)

the weight is 1282 kg

Divide.

74.48 ÷ 7.6

Enter your answer as a decimal in the box.

Answers

If you put in 74.48 divided by 7.6 the answer comes up as 9.8
9.8 should be your answer

Which functions have a vertex with a x-value of 0? Select three options.

f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6

Answers

Answer:

f(x) = |x|f(x) = |x| + 3f(x) = |x| − 6

Answer:

A,B,D

Step-by-step explanation:

The changes in account balances for Elder Company for 2021 are as follows:
Assets $ 480,000 debit
Common stock 250,000 credit
Liabilities 160,000 credit
Paid-in capital—excess of par 30,000 credit

Assuming the only changes in retained earnings in 2021 were for net income and a $50,000 dividend, what was net income for 2021?

Answers

The changes in account balances for Elder Company for 2021 are net income will be $160000

We have given debt common stock = $680000

Credit liabilities = 350000

Credit paid in capital = 190000

And an excess of par 30,000 credit Assuming the only changes in retained earnings

So 680000 = 350000+190000+30000+ retained earning

What is the net income?

Net income is an entity's income minus the cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.

So retained earning = $110000

Dividend paid = $50000

So Net income = dividend paid + retained earning

Net income = $110000+$50000

Net income = $160000

So option (c) will be the correct answer.

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How do I do this? The question is in the picture.

Answers

Answer:

Step-by-step explanation:

In a random sample of 250 students, 150 were in favor of longer hours at the school library. At 98% level of confidence, what is the margin of error?

Select one:

0.051


0.080


0.065


0.072


0.078


0.061

Answers

0.072 is the margin of error.

What is standard error?

The standard error (SE) of a statistic is the standard deviation of its sampling distribution or an estimate of that standard deviation.

According to the question,

In a random sample of 250 students,

p= 0.98 (or 98%) were in favor of longer hours at the school library.

The standard error of p(the sample proportion) is (approximately)

The standard error of p =   [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

p = 0.98

1 - p = 1 - 0.98 = 0.02

Here,

n = 250

The standard error of p =   [tex]\sqrt{ \frac{0.98 (0.02) }{250}[/tex]

The standard error of p ≈   0.072

Therefore,

The margin of error is 0.072.

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Which of the following options is a 3rd degree polynomial with exactly 1 real
root?
A. F(x)=x²-9x² +27x-27
B. F(x)=x+3x² +9x+27
C. F(x)= x +9x² +27x+27
D. F(x)=x+3x² -9x-27

Answers

I’m pretty sure The answer is D I hope it helps

Which of the following rational functions is graphed below?
10-
10
-10
-10-
O A. F(x) =
X-2
x(x + 5)
OB. F(x)=
1
(x+5)(x-2)
O C. F(x) = (x+5)(x - 2)
X
O D. F(x) = (x+5)(x-2)
X

Answers

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x(x + 5)(x - 2)

x(x + 5)(x - 2) = 0

x = 0, x + 5 = 0, x - 2 = 0

x = 0, -5 and 2

The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2

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*
Which of the following are situations that can be modeled with a quadratic function? Select all that apply.
O
0
A tree decays 10% every six weeks.
The height of a diver after jumping from a high dive into the water.
The height of a ball rolled down a hill.
A gym charges $15 perfitness class.
An ant bocid eliminates 50% of bacteria every 24 hours
The height of a rocket after it is Bunched

Answers

Answer:

Option 2 and 5 are correct. Look down for my explanation↓:

Step-by-step explanation:

So We need to tell which one of them is quadratic function.

Option 1 is exponential decay so, it is not quadratic.

Option 2 is quadratic because the diver will take the parabolic shape when jumps.

Option 3 is not quadratic. Option 4 is not quadratic it is linear.

Option 4 is again exponential not quadratic.

Option 5 is quadratic because it takes the parabolic shape again.

if f(x)=5^2x-2 and g(x)=x+1, find (f-g) (x)

Answers

The function  (f-g) (x) is represented as 5^2x - 3 - x .

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)=5^2x-2

g(x)=x+1

Then, the function

(f-g) (x) = 5^2x-2  - (x+1)

Distribute the negative;

(f-g) (x) = 5^2x-2  - x - 1

(f-g) (x) = 5^2x - 3  - x

Hence, the function  (f-g) (x) is represented as 5^2x - 3 - x .

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-0.38 written as a fraction is

Answers

-19/50 maybe??

I did -0.38= -38/100… and now in explaining it I have no clue how I got that answer but ye…

The perimeter of an equilateral triangle is 9x + 3, this is greater than the perimeter of a
regular pentagon which is 10x - 5.
Write down an inequality to represent this information.

Answers

Answer:

x < 8

Step-by-step explanation:

9x + 3 > 10x - 5

9x - 10x > -5 - 3

-x > -8

x < 8

Olympic Enterprises has the following inventory data: Assuming average cost, what is the cost of goods sold for the June 14 sale?

Answers

Assuming average cost of $55.5, the cost of goods sold by Olympic Enterprises for the June 14 sale is equal to $444.

How to calculate cost of goods?

In Financial accounting, the cost of goods sold for a business firm can be calculated by multiplying the total quantity of goods by an average cost. Mathematically, this is given by:

Cost of goods = quantity × average cost

Note: We would assume an average cost of $55.5.

Substituting the parameters into the formula, we have:

Cost of goods sold = 8 × 55.5

Cost of goods sold  = $444.

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help! asap! algebra 2

Answers

We can subtract the function that represents the cost in 2000 from the function that represents the cost in 1990.

Doing this gives us [tex](-20t^{2}+1000)-(-10t^{2}+1500)=\boxed{-10t^{2}-500}[/tex]

A movie theater sells up to 10 tickets at a time online.what is the domain of this graph.

Answers

The domain of the function is whole numbers from 0 to 10.

How to explain the domain?

Given the graph of function represents the tickets sold vs cost. A movie theater sells up to 10 tickets at a time online. we have to find the domain of the graph.

As shown in the graph the number of tickets sold is 0 to 10 and also the number of tickets are always positive and a whole number. It can never be negative or in fraction form.

Hence, the value of x is a positive whole number. The domain of the function is the complete set of possible values of x. The domain of the function is whole numbers from 0 to 10.

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determine whether each pair of lines is perpendicular parallel or neither

Answers

Answer:

1st set of equations - parallel

2nd set - perpendicular

3rd set - neither

Step-by-step explanation:

First set:

simplify the equation for line 1  by dividing by -4: y = 0.5x + 1

simplify the equation for line 1  by dividing by -6: y = 0.5x - 1.5

Both have the same slope: 0.5 so the lines are parallel.

Second set:

simplify the equation for line 1  by dividing by 3: y = -2/3x + 4

simplify the equation for line 1  by dividing by -4: y = 3/2x - 7/4

-2/3 * 3/2 = -1, so the lines are perpendicular

Third set

simplify the equation for line 1  by dividing by 1/2: y = -2x+4

simplify the equation for line 1  by dividing by 2: y = -1/4x +2

-2x+4=-0.25x+2

-2x+0.25x=2-4

-1.75x=-2

x=1.14

y=-2(1.14)+4 = 1.7143. So there is an intersection point

The pair of lines 2x - 4y = -4 & 3x - 6y = 9, 2x + 3y = 12 & and 6x - 4y = 7, and x + (1/2)y = 2 & (1/2)x + 2y = 4 will be parallel lines, perpendicular lines, and neither parallel nor perpendicular, respectively.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The pair of lines is given as,

2x - 4y = -4     ⇒        y = (1/2)x + 1

3x - 6y = 9      ⇒        y = (1/2)x - 3/2

The pair of lines are parallel to each other because the slope is equal.

2x + 3y = 12     ⇒        y = -(2/3)x + 4

6x - 4y = 7       ⇒        y = (3/2) x - 7/4

The pair of lines are parallel to each other because the product of slopes is -1.

x + (1/2)y = 2        ⇒        2x + y = 4

(1/2)x + 2y = 4      ⇒        2x + 4y = 8

The pair of lines are neither parallel nor perpendicular to each other.

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Can someone check whether its correct or no? this is supposed to be the steps in integration by parts​

Answers

Answer:

[tex]\displaystyle - \int \dfrac{\sin(2x)}{e^{2x}}\: \text{d}x=\dfrac{\sin(2x)}{4e^{2x}}+\dfrac{\cos(2x)}{4e^{2x}}+\text{C}[/tex]

Step-by-step explanation:

Fundamental Theorem of Calculus

[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given integral:

[tex]\displaystyle -\int \dfrac{\sin(2x)}{e^{2x}}\:\text{d}x[/tex]

[tex]\textsf{Rewrite }\dfrac{1}{e^{2x}} \textsf{ as }e^{-2x} \textsf{ and bring the negative inside the integral}:[/tex]

[tex]\implies \displaystyle \int -e^{-2x}\sin(2x)\:\text{d}x[/tex]

Use integration by parts.

[tex]\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}[/tex]

[tex]\textsf{Let }\:u=\sin (2x) \implies \dfrac{\text{d}u}{\text{d}x}=2 \cos (2x)[/tex]

[tex]\textsf{Let }\:\dfrac{\text{d}v}{\text{d}x}=-e^{-2x} \implies v=\dfrac{1}{2}e^{-2x}[/tex]

Substituting the defined parts into the formula:

[tex]\begin{aligned}\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x & =\dfrac{1}{2}e^{-2x}\sin (2x)- \int \dfrac{1}{2}e^{-2x} \cdot 2 \cos (2x)\:\text{d}x\\\\& =\dfrac{1}{2}e^{-2x}\sin (2x)- \int e^{-2x} \cos (2x)\:\text{d}x\end{aligned}[/tex]

[tex]\displaystyle \textsf{For }\:-\int e^{-2x} \cos (2x)\:\text{d}x \quad \textsf{integrate by parts}:[/tex]

[tex]\textsf{Let }\:u=\cos(2x) \implies \dfrac{\text{d}u}{\text{d}x}=-2 \sin(2x)[/tex]

[tex]\textsf{Let }\:\dfrac{\text{d}v}{\text{d}x}=-e^{-2x} \implies v=\dfrac{1}{2}e^{-2x}[/tex]

[tex]\begin{aligned}\implies \displaystyle -\int e^{-2x}\cos(2x)\:\text{d}x & =\dfrac{1}{2}e^{-2x}\cos(2x)- \int \dfrac{1}{2}e^{-2x} \cdot -2 \sin(2x)\:\text{d}x\\\\& =\dfrac{1}{2}e^{-2x}\cos(2x)+ \int e^{-2x} \sin(2x)\:\text{d}x\end{aligned}[/tex]

Therefore:

[tex]\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x =\dfrac{1}{2}e^{-2x}\sin (2x) +\dfrac{1}{2}e^{-2x}\cos(2x)+ \int e^{-2x} \sin(2x)\:\text{d}x[/tex]

[tex]\textsf{Subtract }\: \displaystyle \int e^{-2x}\sin(2x)\:\text{d}x \quad \textsf{from both sides and add the constant C}:[/tex]

[tex]\implies \displaystyle -2\int e^{-2x}\sin(2x)\:\text{d}x =\dfrac{1}{2}e^{-2x}\sin (2x) +\dfrac{1}{2}e^{-2x}\cos(2x)+\text{C}[/tex]

Divide both sides by 2:

[tex]\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x =\dfrac{1}{4}e^{-2x}\sin (2x) +\dfrac{1}{4}e^{-2x}\cos(2x)+\text{C}[/tex]

Rewrite in the same format as the given integral:

[tex]\displaystyle \implies - \int \dfrac{\sin(2x)}{e^{2x}}\: \text{d}x=\dfrac{\sin(2x)}{4e^{2x}}+\dfrac{\cos(2x)}{4e^{2x}}+\text{C}[/tex]

Differentiation Rules used:

[tex]\boxed{\begin{minipage}{5.7 cm}\underline{Differentiating $\sin(k)$}\\\\If $y=\sin(kx)$, then $\dfrac{\text{d}y}{\text{d}x}=k\cos(kx)$\\\end{minipage}}[/tex]

[tex]\boxed{\begin{minipage}{5.7 cm}\underline{Differentiating $\cos(k)$}\\\\If $y=\cos(kx)$, then $\dfrac{\text{d}y}{\text{d}x}=-k\sin(kx)$\\\end{minipage}}[/tex]

Integration Rules used:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $e^{kx}$}\\\\$\displaystyle \int e^{kx}\:\text{d}x=\dfrac{1}{k}e^{kx}+\text{C}$\end{minipage}}[/tex]

If “a” is a non zero constant, what is the maximum number of turns for the graph of
y = x³ + ax² - 7x+10

Answers

The maximum number of turns for the graph given by the function is; 2.

What is the maximum number of turns for the graph?

It follows from the task content that the graph given is that of a cubic function. On this note, it follows that the graph has 2 turning points.

This follows from the fact that the degree of the polynomial is 3 and hence, the maximum number of turns on the graph is 2.

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Solve the system of equations : y = x/2 , y = -x - 3 . You can use any method you wish for solving systems of equations. Check your answer.

Answers

Answer:

x=−2 and y=−1

Step-by-step explanation:

Problem:

Solve y=x2;y=−x−3

Steps:

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Math: Evaluating a piece wise function...help!

Answers

The values of the functions are g(-0.5) = -1, g(0.3) = 0 and g(0.5) = 1

How to evaluate the piece wise function?

The function is given as:

[tex]g(x) = \left[\begin{array}{cc}-2&-2.5 < x \le -1.5\\-1&-1.5 < x \le -0.5\\0&-0.5 < x < 0.5&1&0.5 \le x < 1.5\end{array}\right[/tex]

To calculate g(-0.5), we make use of the domain -1.5 < x ≤ -0.5

At this domain;

g(x) = -1

So, the value of g(-0.5) is

g(-0.5) = -1

To calculate g(0.3), we make use of the domain -0.5 < x  0.5

At this domain;

g(x) = 0

So, the value of g(0.3) is

g(0.3) = 0

To calculate g(0.5), we make use of the domain 0.5 ≤ x  1.5

At this domain;

g(x) = 1

So, the value of g(0.5) is

g(0.5) = 1

Hence, the values of the functions are g(-0.5) = -1, g(0.3) = 0 and g(0.5) = 1

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n
Sigma 2k+4
k=1
4th term in sequence?

Answers

Answer:

12

Step-by-step explanation:

2k+4= 2*4 +4=8+4=12

hope it will help

Answer:

12

Step-by-step explanation:

Given:

[tex]\displaystyle \sum^n_{k=1}2k+4[/tex]

The 4th term in the sequence is when k = 4.  

Therefore, substitute  k = 4  into  2k + 4:

⇒ 2k+ 4 = 2(4) + 4

              = 8 + 4

              = 12

Therefore, the 4th term in the sequence is 12

Which is the graph of f,(x) = 0.5(4)*

Answers

I assume you meant [tex]f(x)=0.5(4)^{x}[/tex]. The graph is shown below.

Michael went to the game store there was so much games he wanted and if one of them was $42.29 and the other one was $87.99 and he had $142 how much would he have left ​

Answers

Answer:

$11.72

Step-by-step explanation:

Add: $42.29 + $87.99 = $130.28

Subtract: $142 - $130.28 = $11.72

Answer:

he would have spent 131.08 dollars meaning he has 11.72 dollars left.

Step-by-step explanation:

Lines b and care parallel.
1/2
(7x+1)/(18x+4)
5/6
7/8
b
What is the measure of 22?
O m2 = 31°
Om42 = 50°
Om42 = 120°
Om22 130°

Answers

Answer:

Option 2

angle 2 = 7x + 1 ( vertically opposite angles)

7x + 1 + 18x + 4 = 180° ( forming linear pair).

7x + 18x + 4 +1 = 180°

25x + 5 = 180°

25x = 180 - 5

25x = 175

x = 7°

angle 2 = 7(7)+ 1

= 50°

The measure of angle ∠2 of the parallel lines is ∠2 = 50°

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Given data ,

Let the parallel lines be b and c

Now , the measure of ∠1 + ∠2 = 180° ( angles on the same line )

And , the measure of ∠2 = ( 7x + 1 )° ( alternate angles are equal )

So , ( 7x + 1 ) + ( 18x + 4 ) = 180° ( angles on the same line )

On simplifying , we get

25x + 5 = 180

25x = 175

x = 7

So , the measure of angle ∠2 = ( 7 ( 7 ) + 1 )

The measure of angle ∠2 = 50°

Hence , the angle is ∠2 = 50°

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One person ran 4 miles in 24 minutes. At this rate, how long would it take to run 26 miles?

Answers

The answer is 156 minutes.

If it takes them 24 minutes to run 4 miles, to find the minutes it takes to run 1 mile divide 4 by 24. This comes out to 6 minutes to run 1 mile. Then just multiple 6 minutes by 26 miles to get 156 minutes.

Write this fraction as a mixed number.

Answers

Answer:

7/6=2/7/6

7/6=2

7/6=27/6

7/6=2

7/6

Answer: 1 1/7 i believe

Homework:Section 5.3 Homework
Question 5, 5.3.21
Part 1 of 2
HW Score: 50%, 4 of 8 points
Points: 0 of 1

Question content area top
Part 1
In airline​ applications, failure of a component can result in catastrophe. As a​ result, many airline components utilize something called triple modular redundancy. This means that a critical component has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.0056 and the system that utilizes the component is part of a triple modular redundancy.
​(a) Assuming each​ component's failure/success is independent of the​ others, what is the probability all three components​ fail, resulting in disaster for the​ flight?
​(b) What is the probability at least one of the components does not​ fail?

Answers

The probability that all three components fail is 1.756 × 10⁻⁷. The probability of at least one of the components does not​ fail 0.9999998244.

What is a Probability?

Probability is the likelihood for an event to occur. In a given statistical distribution, the probability explains the range of values and probabilities that a randomized variable could have.

From the given information;

Assuming each​ component's failure/success is independent of the​ others: the probability that all three components fail is:

P(three components fail) = (0.0056)^3

P(three components fail) = 1.756 × 10⁻⁷

The probability that at least one does not fail is:

P(at least one does not fail) = 1 - P(all three components fail)

P(at least one does not fail) = 1 - 1.756 × 10⁻⁷

P(at least one does not fail) = 0.9999998244

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8(w-5)=16 solve for w please give working out

Answers

The answer is 7 according

Need help, can't figure this one out:

Find the perimeter of the following rectilinear figure.

Answers

The perimeter of the following rectilinear figure is 54 units.

What is Perimeter ?

Perimeter of a figure is the distance covered when a person walk one round across its edges .

The given figure is in the form of a rectangle ,

The perimeter is equal to the sum of all sides ,

The bottom base is 13 includes (base of the small extended figure )

The left side is 14(includes left side of the small extended figure)

The right side is 10+5+4 (includes right side of the small extended figure)

The top is 8

Therefore the perimeter is 13+14+10+5+4+8 = 54 units

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Which of the following expressions are equal to -8/11 - 3/4 - 1/4

Answers

In the expressions that we are given, we can note that there is a negative in all of them. This means that we can factor out the negative.

With the negative factored out, it will look like this: [tex]-(\frac{8}{11} + \frac{3}{4} + \frac{1}{4} )[/tex]
The reasoning for this is because you distribute the negative to each term. For example 8/11 is a term, and so is 3/4, and 1/4. So our first answer is D.

Another way we can do this is by combining like terms. We see that in the denominator for -3/4 and -1/4 they both share 4. We can combine it so it becomes -4/4 or -1. It would be E.

The third way
we can do this is by rewriting it. Answer A rewrites it so that it is + -, effectively just -. This allows us to treat the equation as if it were the original one.

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When some water condensedonto a glass, it released 9.15 Calof energy. How many joules ofenergy is this?[?] joules if a student chooses to study linguistics at a college, what has that student chosen? Which of the following is the solution to the following system of inequalities?x+2y2 Suppose that the public holds 50% of the money supply in currency, that the reserve requirement is 20%, and that banks hold no excess reserves. If a customer deposits $6,000 in her checking account, required reserves will increase by: im really stuck on this one Which is the best definition of federalism? Which planet in our solar system, discovered in 1781, was named after the greek god of the sky?. What does the NaBr + Cl representin the reaction?NaBr + Cl >>NaCl + Br (PLEASE HELP!) Determine the values for the pronumerals that make the following piece-wise functions continuous. Why was the Revolutionary War a problem for Native American tribes?Question 9 options:Their land was bought by the British settlement of Canada.The American government punished them for helping the British.Many tribes allied themselves with the British.The British took their allies with them back to England. How can we say that added sugar is not necessary for our health (it's not), when we learned thataerobic cellular respiration uses glucose as a fuel source? Read the passage from Lord of the Flies by William Golding.Jack drew up his legs, clasped his knees, and frowned in an effort to attain clarity."All the samein the forest. I mean when youre hunting, not when youre getting fruit, of course, but when youre on your ownHe paused for a moment, not sure if Ralph would take him seriously."Go on."If youre hunting sometimes you catch yourself feeling as if He flushed suddenly. "Theres nothing in it of course. Just a feeling. But you can feel as if youre not hunting, butbeing hunted, as if somethings behind you all the time in the jungle. . . ."The best thing we can do is get ourselves rescued.Jack had to think for a moment before he could remember what rescue was."Rescue? Yes, of course! All the same, Id like to catch a pig first He snatched up his spear and dashed it into the ground. The opaque, mad look came into his eyes again. Ralph looked at him critically through his tangle of fair hair.How are the universal themes "the relationship between violence and human nature and "the relationship between civilization and nature best developed in this passage?Golding uses conflict to highlight why the boys have different priorities.Golding uses description to emphasize how the island has influenced Jack.Golding uses internal thoughts to describe Jacks confusion.Golding uses dialogue to explain why the boys are afraid. Please help me do that. pls help asap!!!!Which number best represents the slope of the graphed line? The correlation in error terms that arises when the error terms at successive points in time are related is termed _____. Which ONE of the following statements is ACCURATE in regards to open and closed primaries?Select one:a. Voters do not need to declare party preference to vote for nominees in an open primary and only declared members of a party can vote in a closed primaryb. Voters do not need to declare party preference to vote for nominees in a closed primary and only declared members of a party can vote in a open primaryc. Voters do not need to declare party preference in either primaryd. All voters must declare party preference in both open and closed primaries Which two sentences best state the authors thesis?from Canyons of the Colorado If[tex]\rm \: x = log_{a}(bc)[/tex],[tex]\rm \: y = log_{b}(ca)[/tex],[tex]\rm \: z = log_{c}(ab)[/tex], the xyz is equal to :(a) x + y + z(b) x + y + z + 1(c) x + y + z + 2(d) x + y + z + 3 Please solve! And explanation! What is the value of the rational expression below when x is equal to 4?