What reason explains why (-6,8) must also be a point on the graph?

Answers

Answer 1
where are the reasons

Related Questions

What is the largest place value of 585

Answers

The 100s place value is the largest in 585

The ratio is boys to girls is 3:5. If there are 24 boys how many girls are in the class

Answers

If the ratio is 3:5, then for every 3 boys there are 5 girls, so you multiply 3 and 5 by 24 and you get your answer.
To add on to what the previous person said, you find what 24 divided by 3 is. The answer is 8 and so 5 times 8 is 40. 24: 40. 

40 girls are in the class. 

Which second-degree polynomial function has a leading coefficient of –1 and root 5 with multiplicity 2?

Answers

A second degree polynomial function has the general form:

                  [tex]\displaystyle{f(x)=ax^2+bx+c[/tex], where [tex]a\neq0[/tex].

The leading coefficient is a, so we have a=-1.

5 is a double root means that :

i) f(5)=0,
ii) the discriminant D is 0, where [tex]D=b^2-4ac[/tex].

Substituting x=5, we have

                                        f(5)=a(5)^2+b(5)+c,

and since f(5)=0, and a is -1 we have:

                                          0=-25+5b+c
thus c=25-5b.


By ii) [tex]\displaystyle{b^2-4ac=0[/tex].

Substituting a with -1 and c with 25-5b we have:
                                     
          [tex]\displaystyle{b^2-4ac=0[/tex]
          [tex]\displaystyle{b^2-4(-1)(25-5b)=0[/tex]
          [tex]\displaystyle{b^2+4(25-5b)=0[/tex]
          [tex]\displaystyle{b^2-20b+100=0[/tex]
          [tex]\displaystyle{(b-10)^2=0[/tex]
          [tex]\displaystyle{b=10[/tex] 


Finally we find c: c=25-5b=25-50=-25

Thus the function is        [tex]\displaystyle{f(x)=-x^2+10x-25[/tex]


Remark: It is also possible to solve the problem by considering the form

[tex]f(x)=-1(x-5)^2[/tex] directly.

In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is [tex]f(x)=a(x-r)^2[/tex]

Answer:

f(x) = 2x2 – 4x – 30

Step-by-step explanation:

Got it right

how do i graph y=1/2Sinø/2?

Answers

[tex]\fb \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\ % function transformations for trigonometric functions \begin{array}{rllll} % left side templates f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}} \\\\ f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\ f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}} \end{array} \\\\ -------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}[/tex]

[tex]\bf \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]

now, with that template in mind,

[tex]\bf \stackrel{parent~function}{y=sin(\theta )}\qquad \qquad y=\stackrel{A}{\frac{1}{2}}sin\left(\stackrel{B}{\frac{1}{2}}\theta \right) \\\\\\ Amplitude\implies \frac{1}{2} \\\\\\ Period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{1}{2}}\implies 4\pi [/tex]

which is pretty much the same sin(θ) function, but squished by 1/2 and elongated up to 4π, check the picture below.


which statement describes the function below f(x)=2x^3-3x+1

Answers

The given function is f(x)=2x^3+2x^2-x. In this case, the highest degree among the terms is 3. According to the Fundamental Theorem of Algebra, the number of zeros or roots of the equation is equal to the highest degree among the terms. Hence for every value of y, there are 3 equivalent x's. The answer thus is B. It is a many-to-one function.

A multivitamin tablet contains 0.16g of vitamin C. How much vitamin C does a bottle of 60 tablets contain?

Answers

You need to multiply .16 times 60 = 9.6g
Now turn grams into milligrams by using a conversoin factor 1 gram = 1000 milligrams

So

9.6g * 1000 = 9600 milligrams

an office has an area 120 square meters and a width of 12 meters write an equation to represent the area

Answers

A = L X W
120 = L X 12
120/12 = L
10 = L
120 square meters / width of 12 meters = length of 10 meters

length of 10 meters * width of 12 meters = 120 square meters

two pumps of different sizes, working together, can empty a fuel tank in 3 hours. the larger pump can empty the tank in 4 hours less than the smaller one. if the larger pump is not working, how long will it take the smaller pump to do the job alone?

Answers

Final answer:

To find the time it takes for the smaller pump to empty the tank alone, we need to first determine the rate of the smaller pump and solve an equation involving the rates of both pumps.

Explanation:

Let's denote the rate at which the smaller pump can empty the tank as x gallons per hour. Since the larger pump can empty the tank in 4 hours less than the smaller pump, its rate would be x+4 gallons per hour.  

Working together, the total rate at which they can empty the tank is the sum of their individual rates:

x + (x+4) = 1/3 gallons per hour.

Solving this equation will give us the rate of the smaller pump (x), and we can then calculate how long it would take the smaller pump to empty the tank alone.

Final answer:

To find the time it takes for the smaller pump to empty the tank alone, we calculate the combined rate of both pumps and set up an equation based on their separate rates. After solving, we find that it takes the smaller pump 6 hours to empty the tank by itself.

Explanation:

To solve this problem, we can set up a system of equations based on the rates at which the pumps work. Let's denote the time it takes the smaller pump to empty the tank alone as x hours. According to the problem, the larger pump can do this in x - 4 hours. When working together, they can empty the tank in 3 hours.

If the smaller pump's rate is 1/x tanks per hour and the larger pump's rate is 1/(x-4) tanks per hour, the combined rate when they work together is the sum of their individual rates, which is 1/3 tanks per hour.

We can set up the equation as follows:
1/x + 1/(x-4) = 1/3
To solve for x, find a common denominator and combine terms:
(x-4 + x)/(x(x-4)) = 1/3

Multiply all terms by the common denominator x(x-4) to clear the fractions:
2x - 4 = x(x-4)/3

Multiply both sides by 3 to get rid of the fraction:
6x - 12 = x2 - 4x

Rearrange the equation to set it to zero and solve for x:
x² - 10x + 12 = 0

By factoring, we find that x equals 6 or 2. However, since x - 4 must be greater than zero (a pump can't empty a tank in negative time), we discard the solution x = 2 and keep x = 6 hours as the correct answer.

Therefore, the smaller pump will take 6 hours to empty the tank alone.

A european outlet supplies 220 v (rms) at 50 hz. how many times per second is the magnitude of the voltage equal to 220 v

Answers

The amplitude of the sine wave with RMS value of 220 V is
A = 220√2 volts.

The sine waveform is
v(t) = 220√2 sin(2πft)
where 
f = 50 Hz, the frequency.

The period is
T = 1/f = 1/50 = 0.02 s

Use a graphical solution (shown below) to determine the number  of times that v(t) = 220 in the interval t = [0, 0.02] s.

There are 2 instances when the voltage is 220 V in the interval t =[0, 0.02] s.
Note that 1 second is an integral multiple of 0.02 seconds.
Therefore in the interval [0,1], the number of instances when v(t) = 220 V is 
(1/0.02)*2 = 100

Answer:  100



Final answer:

Explains how many times per second the magnitude of the voltage equals 220 V in a European outlet at 50 Hz frequency.

Explanation:

The frequency at which the magnitude of the voltage is equal to 220 V is:

Convert the given 220 V (rms) to peak voltage: 220 V x √2 = 311.13 VSince the voltage alternates sinusoidally, it will reach 311.13 V twice per cycle (positive and negative peaks).For a 50 Hz frequency, the number of times the magnitude of the voltage equals 220 V will be 2 x 50 = 100 times per second.

Anne is comparing savings accounts. One account has an interest rate of 1.2 percent compounded yearly, and one account has an interest rate of 1.2 percent compounded monthly. Which account will earn more money in interest?

Answers

in short and without much fuss

let's say Anne puts "x" amount in the account at 1.2% rate annually, that means after 1 year, she will have "x" + 1.2% of "x", or 1.012x to be exact.

the 1.2% rate, kicks in as the period of a year is met.

now, what if Anne puts it in the monthly compounded type?  that means, the compounding period is a month, so after 1 month, she has 1.2% extra, or 1.012x, and after 2 months, she will have 1.2% extra of 1.012x, or 1.012144x, and after 3 months, she will have 1.2% extra of 1.0121x, or 1.012145728x and so on.

anyhow, the shorter the compounding period, the more the 1.2% kicks in, the more accumulation in the account.

Final answer:

An account with an interest rate of 1.2 percent compounded monthly will earn more money than one compounded yearly because of how compound interest works, earning 'interest on interest' throughout the year.

Explanation:

The student's question asks which savings account would earn more money, one with an interest rate of 1.2 percent compounded yearly, or one with the same interest rate but compounded monthly. When interest is compounded, it means the bank pays interest on both the original amount of money and any interest that account has already earned. With compounded interest, you end up earning interest on interest.

For the account with yearly compounding at a rate of 1.2 percent, the formula to calculate the amount after one year would be A = P(1 + r/n)^(nt), where P is the principal amount, r is the annual interest rate (decimal), n is the number of times interest is compounded per year, and t is the time in years. In this case, n is 1 because the interest is compounded annually. Therefore, the amount after one year would be A = P(1 + 0.012/1)^(1×1) or A = P(1.012).

For the monthly compounded account, the same formula applies, but n would be 12 because the interest is compounded monthly. So, the amount after one year would be A = P(1 + 0.012/12)^(12×1).

When you perform these calculations, the account with the monthly compounding will yield a slightly higher amount than the annually compounded account because interest is being added more frequently. Each month's interest is then earning interest in the following months, leading to a process known as 'interest on interest'. Though the difference may not be substantial for small amounts and low interest rates, over longer periods, or with higher rates and balances, the difference can become significant.

How do u solve 24tenths-1 one 3 tenths

Answers

Hey there!

24 tenths is 240
3 tenths is 30
1 one= 1
240-1=239
239-30=
209

Hope it helps!

how can you use a mapping diagram to determine the domain and the range of a relation?

Answers

Step 1: Draw the mapping diagram for the given relation.
Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.

                              Domain                Range 
                                        3         |     -1
                                                   |
                                                   |
                                        6         |     -2

The method of using a mapping diagram to determine the domain and the range of a relation is outlined in; Steps 1 to 3 below.

A mapping diagram is one that shows how the elements are paired. Furthermore It is drawn like a flow chart for a function to depict the input and output values.

Now, mapping diagrams consists of two parallel columns. The first column is one that represents the domain of a function while the second column represents the range of the function.

Now the steps in using a mapping diagram to determine the domain and the range of a relation are;

Step 1: Draw the mapping diagram for the given function relation.

Step 2: A relation from the mapping diagram will be tagged as a function if each element in the domain column is paired with only one element in the range column

Step 3: However, if an element in the domain column of the mapping diagram can be paired to than 1 element in the range column, then the relation is said to not be a function.

Read more about mapping diagrams at; https://brainly.com/question/1625866

The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°f. past experience has indicated that the (population) standard deviation of temperature is 2°f. the water temperature is measured on nine randomly chosen days, and the average temperature is found to be 98°f. if you were to do a hypothesis test using the data from this problem to test the hypothesis that the population mean temperature is 97 degrees f, which test statistic would you need to use?

Answers

Actually in this case we will make use of the z test statistic. In which we calculate for the z score and then use the standard normal distribution tables to find for the P value at the calculate z score.

 

z = (x – u) / s

z = (97 – 98) / 2

z = -0.5

 

The z value should be greater than 1.65 to for the null hypothesis to be accepted. Hence rejected.

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2?

Answers

The answer to this question What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is (7/65/128)

Answer:

[tex]\frac{765}{128}[/tex]

Step-by-step explanation:

We have been given that 1st term of a geometric series is 3 and common difference is 1/2 . We are asked to find the sum of 1st 8 terms of the given series.

We will use geometric series formula to solve our given problem.

[tex]S_n=\frac{a_1(1-r^n)}{1-r}[/tex]

Upon substituting our given values in the above formula we will get,

[tex]S_8=\frac{3(1-(\frac{1}{2})^8)}{1-\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(1-\frac{1^8}{2}^8)}{\frac{2-1}{2}}[/tex]

[tex]S_8=\frac{3(1-\frac{1}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(\frac{256-1}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(\frac{255}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=3(\frac{255}{256}\times\frac{2}{1})[/tex]

[tex]S_8=3(\frac{255}{128})[/tex]

[tex]S_8=\frac{765}{128}[/tex]

Therefore, the sum of our given series is [tex]\frac{765}{128}[/tex].

Write the whole number as an equivalent fraction with the indicated denominator.

Answers

need more information

Beth purchased a computer, and its value depreciated exponentially each year. Beth will sketch a graph of the situation, where x represents the number of years since she purchased the computer, and y represents its value that year.

Beth will only sketch the graph in the quadrant or quadrants for which it makes sense to.

In which quadrant or quadrants will Beth sketch the graph?

1. Quadrants I and IV only

2. Quadrant I only

3. Quadrants I, II, III, and IV

4. Quadrants I and II only

Please help, thank you

Answers

number 2 is the correct answer
x represents the number of years since purchase. Can x be negative? NO! Number of Years will have to be positive.y represents the value of the computer at a specific year. Can this be negative? NO! Value of 0 is when the computer is totally worthless. Negative value doesn't exist for computer.

So we need a quadrant where x is positive and y in positive. It is the first quadrant.

Answer choice 2 is right.


ANSWER: Answer Choice #2 (Quadrant I only)

Mrs marks has 9 1/4 ounces of fertilizer for her plants. She plans on using 3/4 ounce of fertilizer for each plant. How many plants can she fertilize?

Answers

"9 1/4 ounces of fertilizer, 3/4 ounce of fertilizer for each plant."

Divide the total amt. of fert. by the amt. that goes to each plant:

9 1/4 oz
-----------------------
(3/4) oz per plant

Convert 9 1/4 to an improper fraction:  9 1/4 = 37/4.

Now divide 37/4 by 3/4, or divide 37 by 3.  Result:  12 1/3 plants.

Ms. Marks can fertilize 12 plants and have 1/3 oz of fertilizer left over.

How many weeks correspond to 56 days? Explain

Answers

Answer:

8 weeks

56 days equals 8 weeks or 8x7 = 56

Step-by-step explanation:

What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?
A)y−2=13(x−6)
B) y+6=13(x+2)
C) y−6=13(x−2)
D) y+2=13(x+6)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ -6}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 13 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-6)=13[x-(-2)] \\\\\\ y+6=13(x+2)[/tex]

store decreased its price on a computer by $112 to $478. What was the original price

Answers

Well if it's $112 less and the price is now $478. You just have to add $112 to $478= $590.

Answer:

$590.

Step-by-step explanation:

Let x be the original price of computer.

We have been given that a store decreased its price on a computer by $112 to $478.

This means x minus 112 equals to 478. We can represent this information in an equation as:

[tex]x-\$112=\$478[/tex]

Let us add $112 to both sides of our equation.

[tex]x-\$112+\$112=\$478+\$112[/tex]

[tex]x=\$590[/tex]

Therefore, the original price of computer was $590.

How many sixteens are in 15/16

Answers

There are 15  1/16's 


hope this helps

Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $675. It's original price is $900. What percent of the original price will you save if you purchase it?

Answers

Attached a solution and showed work.

Answer:

[tex]25\%[/tex]

Step-by-step explanation:

Given: you go shopping for a new futon bed for your apartment/home.The model you really like happens to be on sale for [tex]\$675[/tex]. It's original price is [tex]\$900[/tex].

To Find: What percent of the original price will you save if you purchase it.

Solution:

Original price of model  [tex]=\$900[/tex]

discounted price of model on sale [tex]=\$675[/tex]

Now,

money saved by buying model from sale [tex]=\text{original price}-\text{price on sale}[/tex]

                              [tex]900-675[/tex]

                              [tex]\$225[/tex]

percentage of the original price saved [tex]=\frac{\text{Amount saved}}{\text{original price of model}}\times100[/tex]

putting values

                              [tex]\frac{225}{900}\times100[/tex]

                              [tex]\frac{225}{9}[/tex]

                              [tex]25\%[/tex]

[tex]25\%[/tex] of original price can be saved if model is purchased from sale.

the difference between two integers is 13 and their sum is 87. What are the two integers

Answers

The answer would be 50 and 37.

50-37 = 13

50+37 = 87

it would be 50 and 37

A company’s profits      (P)  are related to increases in a worker’s average pay (x) by a linear equation. If the company’s profits drop by $1,500 per month for every increase of $450 per year in the worker’s average pay, what is the slope of the graph of the equation?

Answers

Since the company’s profits drop by $1,500 per month for every increase of $450 per year in the worker’s average pay, the slope of the graph of the equation is -40.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]

Based on the information provided, we can logically deduce that the rise and run are as follows;

Rise = 12 × -1500 = 18,000 units (its negative because the profit drops)

Run = 450 units.

By substituting the given data into the formula for the slope of a line, we have the following:

Slope (m) = rise/run

Slope (m) = -18000/450

Slope (m) = -40.

a company must select 4 candidates to interview from a list of 12, which consist of 8 men and 4 women.

How many selections of 4 candidates regardless of gender?
How many selections are possible, if 2 women must be selected?
How many selections are possible, if at least 2 women must be selected?

Answers

Part A

If 4 candidates were to be selected regardless of gender, that means that 4 candidates is to be selected from 12.

The number of possible selections of 4 candidates from 12 is given by

[tex] ^{12}C_4= \frac{12!}{4!(12-4)!}= \frac{12!}{4!\times8!} =11\times5\times9=495[/tex]

Therefore, the number of selections of 4 candidates regardless of gender is 495.



Part B:


If 4 candidates were to be selected such that 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4.

The number of possible selections of 2 men candidates from 8 and 2 women candidates from 4 is given by

[tex] ^{8}C_2\times ^{4}C_2= \frac{8!}{2!(8-2)!}\times \frac{4!}{2!(4-2)!} \\ \\ = \frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!} =4\times7\times2\times3=168[/tex]

Therefore, the number of selections of 4 candidates such that 2 women must be selected is 168.



Part 3:

If 4 candidates were to be selected such that at least 2 women must be selected, that means that 2 men candidates is to be selected from 8 and 2 women candidates is to be selected from 4 or 1 man candidates is to be selected from 8 and 3 women candidates is to be selected from 4 of no man candidates is to be selected from 8 and 4 women candidates is to be selected from 4.

The number of possible selections of 2 men candidates from 8 and 2 women candidates from 4 of 1 man candidates from 8 and 3 women candidates from 4 of no man candidates from 8 and 4 women candidates from 4 is given by

[tex] ^{8}C_2\times ^{4}C_2+ ^{8}C_1\times ^{4}C_3+ ^{8}C_0\times ^{4}C_4 \\ \\ = \frac{8!}{2!(8-2)!}\times \frac{4!}{2!(4-2)!}+\frac{8!}{1!(8-1)!}\times \frac{4!}{3!(4-3)!}+\frac{8!}{0!(8-0)!}\times \frac{4!}{4!(4-4)!} \\ \\ = \frac{8!}{2!\times6!}\times\frac{4!}{2!\times2!}+\frac{8!}{1!\times7!}\times\frac{4!}{3!\times1!}+\frac{8!}{0!\times8!}\times\frac{4!}{4!\times0!} \\ \\ =4\times7\times2\times3+8\times4+1\times1=168+32+1=201[/tex]

Therefore, the number of selections of 4 candidates such that at least 2 women must be selected is 201.

Selections of 4 candidates regardless of gender would result in 12c4, or 12!/(8!*4!) = 9*10*11*12 = 495 possibilities. Selections of 4 candidates where exactly two must be women would result in 8c2 (for the men) * 4c2 (for the women) = 8!/(6!*2!) * 4!/(2!*2!) = 28 * 6 = 168 possibilities. Selections of 4 candidates where AT LEAST two must be women would result in the above 168 (2 women) plus groups where there are exactly three women (8c1*4c3 = 8*(4!/(3!*1!) = 8*4 = 32) plus groups where there are exactly 4 women (1). So there are 168 + 32 + 1 = 201 possible selections of 4 from this group where at least 2 are women.

Evaluate the polynomial xyz^2-z when x=6, y=-4, and z=-2

Answers

Sent a picture of the solution to the problem (s).

One slice of cheese pizza contains 310 calories. A medium-size orange has one-fifth that number of calories. How many calories are in a medium-size orange? -Please help me understand!

Answers

The medium sized orange would have 62 calories. To divide by 1/5, which in decimal form is 0.2, you just multiply 310 by 0.2, therefore, giving you 62. Hope this helps! 
We must divide the number of calories in the pizza by five to find out how many calories are in the medium-size orange.

310 / 5 = 62

There are 62 calories.

Alana spent 21 dollars of her 300 dollar paycheck on a gift . What percent of her paycheck was spent on the gift

Answers

7% of her paycheck was spent on the gift

Which metric unit would you use to measure: 1.The length of a newspaper. 2. The height of a lamp post. 3. The length of a bus route. 4. The width of a ruler.

Answers

there are 3 meter grams or liters
liters is liquid
meters is how long or wide
grams is weight 
i would use meters

If you bike for 60km at 30km/h and return at 20km/h what is your average speed for the whole trip

Answers

your average speed is 24Km/h

Other Questions
We do this quickly because our psychological immune systems have where would be the best place to insert more facts aboot william golding presonl life working from home only works in a few kinds of businessestruefalse write a linear equation that is parallel to 12x+3y=24 and passes through the point (-2,7) how did the Spanish american war affect future events? You have been given the assignment of writing an autobiographical piece, but you have no idea what to write about. What is one useful strategy to help you get started? The most revolutionary late-twentieth-century islamic political movement took place in: What is a FREE TRADE area?Question 8 options:a group of countries that share similar political and economic beliefsa group of countries that have agreed to eliminate tariffs and trade barriersa group of countries that believe their borders should be open and free the length of a rectangle is 5cm less than 3 times the width.if the perimeter of a rectangle is 54cm, find the length and the width CASCA: I have seen tempests when the scolding winds Have rived the knotty oaks . . . But never till tonight, never till now, Did I go through a tempest dropping fire. Either there is a civil strife in heaven, Or else the world, too saucy with the gods, Incenses them to send destruction. Which description fits the mood expressed in this excerpt best? excited and in anticipation of something wonderful once the storm is over afraid of this storm because it is one of the worst of all he has experienced calm because this is not the first storm he has encountered tense and in anticipation of something even worse to come once the storm is over List all the possible ways to write life. Which occurs whenever valence electrons are shared or transferred between atoms A. A Decrease in change B. Radioactive decayC. An increase in changeD. A chemical reaction What is the sign of-5-1/-2 The arbitrary and capricious test is very well defined.a. trueb. false Which document enumerates the limitations of the federal government and the personal freedoms of United States citizens? Which of the following was the most basic reason that slavery spread throughout the Americas? The alignment of atoms where the north poles face one way and the south poles face the opposite way is also known as which of the following? A) area B) domain C) properties D) force What was the extent of alexander's eqmpire, and why was he able to conquer such an extended area? Juanita receives her paycheck and knows that her gross pay and federal tax are correct. Using the fact that Social Security tax is 6.2% of gross pay, Medicare tax is 1.45% of gross pay and state tax is 19% of federal tax, determine if Juanita's net pay is correct. Earnings Deductions Week Ended Regular FED. SOC. MED STATE WITH. WITH. CARE. WITH. NET PAY 11/17 $1,020.00 $107.00 $63.24 $14.79 $20.33 $814.64 Choose the true statement below. a. The net pay is correct. b. The Social Security tax is not correct. c. The Medicare tax is not correct. d. The state tax is not correct. Maia's calculator displays a number as 9.125e10. What is this number in standard form? Steam Workshop Downloader