Create a polynomial of degree 6 that has no real roots. Explain why it has no real roots. Is it possible to have a polynomial with an odd degree that has no real roots? Explain.

Answers

Answer 1

Create a polynomial of degree 6 that has no real roots.

y = ( x^2 + 4) ( x^2 +7 ) ( x^2+5)

Multiplying all the terms together

y =x ^6 + 16 x^4 + 83 x^2 + 140

Using the zero product property

0= x^2 +4 x^2+7 =0 x^2 + 5 =0 will each give a complex solution

x^2 = -4 x^2 = -7 x^2 = -5

This means x = 2i or -2i x = i sqrt(7) or -i sqrt(7) x = i sqrt (5) or - i sqrt(5)

These solutions can be in the form a+bi

Therefor it will have no real roots

y = x^6 + 16 x^4 + 83 x^2 + 140 has no real solutions

Complex solutions come in pairs, so an odd degree must have a real solution


Related Questions

Suzy has $2000 to invest and needs $2400 in 12 years. What annualrate of return will she need to get in order to accomplish her goal, if theinterest is compounded continuously? (Round your answer to twodecimal places) A = Pert

Answers

Given data:

Principal Amount=$2000.

Final Amount=$2400

Time period(t)=12 years

Let the rate of return be r.

As per formula of continous compunding:

[tex]\begin{gathered} \text{Final amount=Principal}(e^{rt}) \\ 2400=2000(e^{12r}) \\ e^{12r}=\frac{2400}{2000} \\ e^{12r}=1.2 \\ 12r=\ln (1.2) \\ 12r=0.1823 \\ r=0.01519 \end{gathered}[/tex]

Thus, the rate of interest required is 1.519%.

Graph the line that has an x-intercept of (-1,0) and a y-intercept of (0,5). What is the slope of this line?

Answers

Answer:

The slope is 5.

Step-by-step explanation:

To solve this, you could have plotted the two points, drew a line between them, and then calculated the slope by counting on the graph the line's rise/run.

To slove this by finding the slope with the points:

(5 - 0) / (0 - - 1) = 5 / 1 = 5

The slope is 5

determine the area of the shaded regionA. 6 square unitsB. 19 square unitsC.20 square unitsD. 25 square units

Answers

area of the square:

[tex]\begin{gathered} a=l\times l \\ a=5\times5 \\ a=25 \end{gathered}[/tex]

area of the rectangle

[tex]\begin{gathered} a=b\times h \\ a=3\times2 \\ a=6 \end{gathered}[/tex]

area of the shaded region:

area of the square - area of the rectangle = area of the shaded region

[tex]25-6=19[/tex]

answer: B 19 saquare units

andrew went to the store to buy some walnuts. the price pee walnut is $4 per pound and he has a coupon for $1 off the final amount. with the coupon, how much would andrew have to pay to buy 4 pounds of walnuts? what is the expression for the cost to buy p pounds of walnuts , assuming at least one pound is purchased.

Answers

The amount Andrew have to pay to buy 4 pounds of walnuts = $19

The expression for the cost to buy p pounds of walnuts= 4p - 1

Explanation:

Amount per pound of walnut = $4

Amount of coupon = $1

The cost of 4 pounds of walnuts:

[tex]\text{Cost = 4 }\times5=\text{ \$20}[/tex]

The amount Andrew have to pay to buy 4 pounds of walnuts:

Amount = cost - coupon

Amount = $20 - $1

The amount Andrew have to pay to buy 4 pounds of walnuts = $19

The expression for the cost to buy p pounds of walnuts:

let number of pounds = p

Cost for p pounds of walnut = Amount per walnut * number of walnut

Cost for p pounds of walnut = $4 * p

= $4p

The expression for the cost to buy p pounds of walnuts= cost for p - coupon

= 4p - 1

The two-way table represents the number of clubs that two hundred high school studentswere involved in.One Club Two clubsBoys 17Girls 28Total 45256893Three or more clubs Total50126292108200What is the probability that a student will be in two clubs only and a girl?

Answers

Given:

The two-way table represents the number of clubs that two hundred high school students

We will find the probability that a student will be in two clubs only and a girl

From the table, we will select the number that represents the number of girls that will be in the two clubs

so, the number = 68

the total number of students = 200

So, the probability will be =

[tex]\frac{68}{200}*100=34\%[/tex]

So, the answer will be 34%

Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.38 and standard deviation of 0.14. Find the percentageof preterm infants who have the following arterial cord pH levels.a. pH levels between 7.00 and 7.50.b. pH levels over 7.46A.The percentage of arterial cord pH levels that are between 7.00 and 7.50 is ____%.(Round to two decimal places as needed.)B.The percentage of arterial cord pH levels that are over 7.46 is ___%.(Round to two decimal places as needed.)

Answers

We have the pH level as a random normal variable with mean 7.38 and standard deviation of 0.14.

A) We have to calculate the percentage of infants that are expected to have pH levels between 7.00 and 7.50.

We can approximate this as the probability of selecting a random infant and it has a pH level within this interval.

Then, to calculate the percentage we will use the z-scores for each boundary of the interval:

[tex]z_1=\frac{X_1-\mu}{\sigma}=\frac{7-7.38}{0.14}=\frac{-0.38}{0.14}\approx-2.7143[/tex][tex]z_2=\frac{X_2-\mu}{\sigma}=\frac{7.5-7.38}{0.14}=\frac{0.12}{0.14}\approx0.8571[/tex]

Then, we can use the standard normal distribution to look for the probabilities for each z-score and calculate the probability as:

[tex]\begin{gathered} P(7.00Given that the probability is 0.80099, we can express the percentage as:[tex]P=0.80099\cdot100\%=80.01\%[/tex]

B) We now have to calculate the percentage that is above 7.46.

We start by calculating the z-score as:

[tex]z=\frac{X-\mu}{\sigma}=\frac{7.46-7.38}{0.14}=\frac{0.08}{0.14}\approx0.571428[/tex]

Then, we can calculate the probability as:

[tex]P(X>7.46)=P(z>0.571428)\approx0.28385[/tex]

This correspond to a percentage of 28.39%.

Answer:

A) 80.01%

B) 28.39%

What is the solution set of x over 4 less than or equal to 9 over x?

Answers

we have

[tex]\frac{x}{4}\leq\text{ }\frac{9}{x}[/tex]

Multiply in cross

[tex]x^2\leq36[/tex]

square root both sides

[tex](\pm)x\leq6[/tex]

see the attached figure to better understand the problem

the solution is the interval {-6,6}

the solution in the number line is the shaded area at right of x=-6 (close circle) and the shaded area at left of x=6 (close circle)

Use the positions of the numbers on the number line to compare them.Select the two true inequalities.A. 3/4 < 4/5B. 0.85 > 4/5C. 3/4 > 4/5D. 0.85 < 4/5

Answers

Answer:

Explanation:

Given:

0.85,4/5, 3/4

To easily compare the given numbers, we simplify each number first and plot them on the number line:

Therefore, the two true inequalities are:

[tex]\frac{3}{4}<\frac{4}{5}[/tex]

and

[tex]0.85>\frac{4}{5}[/tex]

What is an example of a situation from your professional or personal life that requires you to compare, understand, and make decisions based on quantitative comparison? Be sure to describe the types of quantitative comparisons you had to make, what decisions you made, and why.

Answers

An example of situation involving quantitative comparison is:

The game-plan of an offensive coach for a NFL game.

What are quantitative variables?


Quantitative variables are variable that assume numbers as results, instead of labels such as yes/no or good/bad.

When an NFL offensive coordinator is game-planning, he has to consider numeric stats of the opponent defense, such as these ones:

Average passing yards allowed per play.Average rushing yards allowed per play.

These stats are also compared to the NFL average to verify if the weak point of the opponent defense is the run or the pass, hence the game-plan is adjusted accordingly as follows:

Bad run defense: the coordinator should call more running plays.Bad pass defense: the coordinator should call more passing plays.

A similar problem, also about quantitative variables, is given at https://brainly.com/question/15212082

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A Census Burcau report on the income of Americans says that with 95% confidence themedian income of all U.S. households is $49,841 to $50,625. The point estimate and margin oferror for this interval are: *Point estimate = $49,841; Margin of error = $784Point estimate = $50,233; Margin of error = $784oPoint estimate = $50,233; Margin of error = $392Point estimate = $50,625; Margin of error = $392

Answers

Let the point estimate be x and the margin of error be e.

Then, we must have

[tex]\begin{gathered} x+e=50625----------------------(1) \\ x-e=49841----------------------(2_{}) \end{gathered}[/tex]

Add the equation (1) and equation(2) to eliminate the variable e, we have

[tex]\begin{gathered} 2x=100466 \\ \text{ thus} \\ x=\frac{100466}{2}=\text{ \$}50233 \end{gathered}[/tex]

Subtracting equation (2) from equation(1) to eliminate the variable x, we have

[tex]\begin{gathered} 2e=784 \\ \text{ thus} \\ e=\frac{784}{2}=392 \end{gathered}[/tex]

Hence, the point estimate is $50233 and the margin of error is $392, The Third option

Problem solving.When two expressions are not equivalent, you can use an inequality symbol to show their relationship. Do you ever use an inequality symbol when two expressions are equivalent? Use an example in your explanation.

Answers

Explanation

When two expressions are not equivalent, you can use an inequality symbol

[tex]\begin{gathered} \leq\Rightarrow less\text{ or equal } \\ \ge\Rightarrow greater\text{ or equal } \\ >\Rightarrow greater\text{ than } \\ <\Rightarrow smaller\text{ than} \end{gathered}[/tex]

now, when comparing two expressions that are equivalent , WE CAN NOT USE an inequality simbol, instead of we need to use The equals sign or equal sign formerly known as the equality sign

[tex]=[/tex]

for example

[tex]3x+19x=30x-8x[/tex]

the = symbold indicates that both sides have the same value ( rigth and left)

I hope this helps you

How do you know when an equation has infinite many solution?A. The coefficients are differentB. The coefficients are the same and the constants are differentC. The coefficients are the same and the constants are same

Answers

Solution:

An equation has infinitely many solutions when the coefficients are the same and the constants are the same.

This is illustrated as shown below:

[tex]\begin{gathered} 2a+5+a=\text{ 5+3a,} \\ thus,\text{ we have infinitely many solution} \end{gathered}[/tex]

Hence, the correct option is C.

I'll send a pic of it

Answers

Solution:

Since the slope of the given function represents the rate at which the temperature changes, the answer is the slope of the equation, that is, the correct solution would be:

[tex]0.7[/tex]

This is not from a test or graded assessment. The Question is included in the picture.

Answers

Given:

[tex]\begin{gathered} g(x)=-x^5-4x^3+6x \\ \\ h(x)=x^4+2x^3-2x^2+x-7 \\ \\ j(x)=3x^4+7x^2 \end{gathered}[/tex]

It's required to determine if the functions are odd, even, or neither.

An even function satisfies the property:

f(-x) = f(x).

And an odd function satisfies the property:

f(-x) = -f(x)

We substitute x by -x on each function as follows:

[tex]\begin{gathered} g(-x)=-(-x)^5-4(-x)^3+6(-x) \\ \\ g(-x)=x^5+4x-6x \end{gathered}[/tex]

Note the function g(-x) is the inverse (negative) of g(x), thus,

g(x) is odd

Now test h(x):

[tex]\begin{gathered} h(-x)=(-x)^4+2(-x)^3-2(-x)^2+(-x)-7 \\ \\ h(-x)=x^4-2x^3-2x^2-x-7 \end{gathered}[/tex]

Comparing h(-x) and h(x) we can see none of the properties are satisfied, thus:

h(x) is neither odd nor even

Let's now test j(x):

[tex]\begin{gathered} j(-x)=3(-x)^4+7(-x)^2 \\ \\ j(-x)=3x^4+7x^2 \end{gathered}[/tex]

Since j(-x) and j(x) are equal,

j(x) is even

I haven’t got a clue about what it is or what to do

Answers

EXPLANATION

Rotating the shape , give us the third shape form.

need help with a question

Answers

From the image, we have the equation:

3x - 6 = -2x + 4

Let's solve for x:

3x - 6 = -2x + 4

Add 2x to both sides of the equation:

3x - 6 + 2x = -2x + 2x + 4

3x + 2x - 6 = 4

5x - 6 = 4

Add 6 to both sides:

5x - 6 + 6 = 4 + 6

5x = 10

Divide both sides by 5:

[tex]\begin{gathered} \frac{5x}{5}=\frac{10}{5} \\ \\ x\text{ = 2} \end{gathered}[/tex]

ANSWER:

x = 2

According to the theory of the color yellow + red = orange. If Luisa has x liters of yellow paint and/ 4 liters of red paint. How many liters of orange paint will he get Louise? And if I had 4 liters of yellow paint, could I get exact 5 liters of paint orange?

Answers

Yellow + red = Orange

Yellow paint , x liters

Red paint , 4 liters

a) Because addition applies , adding x liters of Yellow + 4 liters of red and the result is x + 4 liters of orange

b) for second question apply equation

4 • yellow + Red •N = 5

then find N

its possible to obtain 5 liters of paint orange with

2 liters of yellow, 2 liters of red, and adding

0.5 liters of yellow, 0.5 liters of red.

16 - 2t = 5t +9 Can you help me solve this?

Answers

1=t

add 2t to the second side, so that it is going to be 16=7t+9

now, subtract 9 from the right side: 16-9=7t

7t=7

t=1

what is quotient of 0.5?
A.25÷5
B.2.5÷5
C.25÷0.5
D.25÷0.05

Answers

Answer:

B

Step-by-step explanation:

2.5/5=0.5

Answer: the answer is b

Step-by-step explanation:

because  2.5 goes into 5 0.5 times also written as 1/2 and said as one half i hope this helps have a great day (brainly pls)

Real world compositions: A manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells the lawn mower for 140% of the price paid to the manufacturer. Determine the function of the price of a lawn mower in terms of the cost to manufacture the mower. What price will a customer pay for this mower if the manufacturer's cost was $230? Solve using composite functions

Answers

From the information provided, the lawn mower is sold at a price which is $75 over the cost of manufacture.

If the cost of manufacture is x, then we would have;

[tex]f(x)=x+75[/tex]

Also, the store now sells the lawn mower for 140% of the price paid to the manufacturer. Therefore, we would have;

[tex]g(x)=f(x)1.4[/tex]

Hence, if the manufacturer's cost is $230, the customer would be paying g(x). When the cost x is now given as 230, we wou;d have;

[tex]\begin{gathered} f(230)=230+75 \\ f(230)=305 \\ \text{Hence;} \\ g(x)=f(x)1.4 \\ g(x)=305\times1.4 \\ g(x)=427 \end{gathered}[/tex]

ANSWER:

The function of the price is;

[tex]f(x)=x+75[/tex]

The price a customer pays when the cost of manufacturing is $230 would now be $427

Question HelpMultiple Representations A vehicle ses 7 gallons of gasoline to travel 147 miles. The vehicle uses gasoline at a steady rate. Use pencil and paper to draw a picture that models the situation Write a table of equivalent ratiosThen use the table to find the number of gallons of gasoline the vehicle uses to travel 63 milesComplete the tableGallons Miles1231411421

Answers

We know a vehicle uses 7 gallons of gasoline to travel 147 miles.

This gives us a ratio: 147/7 = 21

The vehicle travels 21 miles per gallon of gasoline

The situation can be modeled as a line with a constant slope of 21 miles/gallon

If we use the horizontal axis for the number of gallons and the vertical axis for the miles traveled, we can draw an approximate graph

Let's give the gallons (g) some values to fill up the table:

For g=1, miles = 21

For g=2, miles = 42

For g=3, miles = 63

For g=7, miles = 147

For g=14, miles = 294

For g=21, miles = 441

The graph is shown below

Suppose that the 99% confidence interval for the true average number of canteen operating hours is [6, 9]. Which conclusion is correct if the average number of operating hours for canteens in the region is 8 hours? a. The average number of canteen operating hours in this city is not significantly different from that of the region since 8 is not contained in the interval. b. The average number canteen operating hours in this city is not significantly different from that of the region since 8 is contained in the interval. c. The average number of canteen operating hours in this city is significantly different from that of the region since 8 is contained in the interval. d. The average number of canteen operating hours in this city is significantly different from that of the region since 8 is not contained in the interval.

Answers

Given: Suppose that the 99% confidence interval for the true average number of canteen operating hours is [6, 9].

To Determine: Which conclusion is correct if the average number of operating hours for canteens in the region is 8 hours

Solution

Given the confidence interval of [6,9]. This means that

A confidence interval indicates where the population parameter is likely to reside. For example, a 99% confidence interval of the mean [6 9] suggests you can be 99% confident that the population mean is between 6 and 9

If the average number of operating hours for canteens in the region is 8 hours, then we can conclude that

The average number canteen operating hours in this city is not significantly different from that of the region since 8 is contained in the interval, OPTION B

The graph of a function is shown below. find the following, g(10), g(-3)

Answers

According to the graph, the value of the function g(-3) is 4 and g(10) is out of view

What are graphs?

Graphs are graphical representations of equations, ordered pairs, tables of a relation

How to evaluate the function?

From the question, the function is represented by the attached graph

Also from the question, the function to calculate is given as g(10) and g(-3)

This means that we calculate the values of the function, when x = 10 and -3

i.e.

We calculate g(x), when x = -3

We calculate g(x), when x = 10

So, we look at the graph for this function value

From the graph of values, we have

When x = -3, g(x) = 4

When x = 10, g(x) = not visible

This means that

g(-3) = 4

g(10) = out of view

Hence, the function g(-3) has a value of 4 and g(10) is out of view

Read more about functions at

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write a word problem in which you divide two fractions into mixed numbers or a mixed number and a fraction solve your word problem and show how you found the answer

Answers

Jade share 4 1/3 cups of chocolate by 1/3 among his friends

The mixed fraction = 4 1/3

Fraction = 1/3

[tex]\begin{gathered} \text{Firstly, we n}eed\text{ to convert the mixed fraction into an improper fraction} \\ 4\frac{1}{3}\text{ = }\frac{(3\text{ x 4) + 1}}{3} \\ 4\frac{1}{3}\text{ = }\frac{12\text{ + 1}}{3} \\ 4\frac{1}{3}\text{ = }\frac{13}{3} \\ \text{Divide }\frac{13}{3}\text{ by 1/3} \\ =\text{ }\frac{13}{3}\text{ / }\frac{1}{3} \\ \text{ According to mathematics, once the numerator and denominator of the LHS is interchanged then the order of operator changes from division to multiplication} \\ =\text{ }\frac{13}{3}\text{ x }\frac{3}{1} \\ =\text{ }\frac{13\text{ x 3}}{3} \\ \text{= }\frac{39}{3} \\ =\text{ 13} \end{gathered}[/tex]

Therefore, the answer is 13

can you please help me? I'm having trouble with algebra 2 doing online school

Answers

Brianna, this is the solutiuon:

Part 2: Recalling that the perfect square trinomial has the form:

ax² + bx + c

(x - 1)² = (x - 1) * (x - 1)

x² - x - x + 1

x² - 2x + 1

Thus, b = -2. The correct answer is A.

Part 3: Recalling that the perfect square trinomial has the form:

ax² + bx + c

(x + 25)² = (x + 25) * (x + 25)

x² + 25x + 25x + 625

x² + 50x + 625

Therefore, c = 625. The correct answer is D.

A tourist from the U.S. is vacationing in China. One day, he notices that has cost 6.84 yuan per liter. On the same day, 1 yuan is worth 0.14 dollars. How much does the gas cost in dollars per gallon? Fill in the two blanks on the left side of the equation using two of the ratios. THEN WRITE THE ANSWER ROUNDED TO THE NEAREST HUNDREDTH. Will send pic of question.

Answers

Solve:

[tex]\frac{6.84\text{ yuan}}{1\text{ L}}\times\frac{0.14\text{ dollars}}{1\text{ yuan}}\times\frac{3.79\text{ L}}{1\text{ gal}}=3.63\frac{dollars}{gal}[/tex]

7 ( 7x - 3y) - 6 Expand the expression

Answers

The expanded form of the expression is 49x - 21y - 6

Explanation:[tex]\text{Given: }7(7x\text{ - 3y) - 6}[/tex]

To expand, we will multiply the terms outside by the terms inside the parentheiss:

[tex]\begin{gathered} U\sin g\text{ distributive property} \\ a(b\text{ + c) = a9b) + a(c)} \\ \\ 7(7x-3y)-6=\text{ }7(7x)\text{ -7(3y) - 6} \\ =\text{ 49x - 21y - 6} \end{gathered}[/tex]

The expanded form of the expression is 49x - 21y - 6

A gumball machine contains orange, yellow, and purple gum balls. The probability of getting an orange gumball is 3/4. The probability of getting a yellow gumball is 1/6. If there are 36 gumballs in the machine, how many are there of each color number of purple marbles _______ number of yellow marbles_____ number of orange marbles______

Answers

Given:

Probability of getting orange gumball is, p(o) = 3/4.

Probability of getting yellow gumball is, p(y) = 1/6.

The objective is to find the number of each colored gumballs.

Since, the sum of the events of probability is always 1.

Then, the probability of purple ball p(p) can be calculated as,

[tex]\begin{gathered} \frac{3}{4}+\frac{1}{6}+p(p)=1 \\ p(p)=1-\frac{3}{4}-\frac{1}{6} \\ p(p)=\frac{12-3(3)-1(2)}{12} \\ p(p)=\frac{1}{12} \end{gathered}[/tex]

Since, it is given that the total number of gumball is N = 36.

Then, the number of orange ball can be calculated as,

[tex]\begin{gathered} p(o)=\frac{n(o)}{N} \\ \frac{3}{4}=\frac{n(o)}{36} \\ n(o)=36\cdot\frac{3}{4} \\ n(o)=27\text{ balls.} \end{gathered}[/tex]

Similarly, the number of yellow ball can be calculated as,

[tex]\begin{gathered} p(y)=\frac{n(y)}{N} \\ \frac{1}{6}=\frac{n(y)}{36} \\ n(y)=\frac{36}{6} \\ n(y)=6 \end{gathered}[/tex]

And the number of purple ball can be calculated as,

[tex]\begin{gathered} p(p)=\frac{n(p)_{}}{N} \\ \frac{1}{12}=\frac{n(p)}{36} \\ n(p)=\frac{36}{12} \\ n(p)=3 \end{gathered}[/tex]

Hence, the number of orange ball is 27, number yellow ball is 6 and number of purple ball is 3.

Garvin earned $ 948.35 in net pay for working 24 hours. He paid $ 348.26 in federal and state taxes, and $ 145.06 in FICA taxes. What is Garrett's hourly wage? Round your answer to two decimal places. If answer doesn't have two decimal places include zeros to make two decimal places. For the units, use a word not a symbol. Be sure to attach your work to this question in order to receive credit for your answer.Your Answer:units:

Answers

ANSWER:

18.96 dollars per hour

STEP-BY-STEP EXPLANATION:

The 24-hour salary is calculated with the earnings and we subtract the taxes, as follows:

[tex]\begin{gathered} s=948.35-348.26-145.06 \\ s=455.03 \end{gathered}[/tex]

Now, we divide by 24 to find out Garvin's hourly wage:

[tex]\begin{gathered} h=\frac{455.03}{24} \\ h=18.96 \end{gathered}[/tex]

Therefore, the hourly wage is $18.96.

Referring to the table in question 14, how would you graph the solution set representing students that do not receive a note sent home to parents?Draw points on the integers to the left of, and including, 0.Draw points on the integers to the right of, and including, 0.Draw points on the integers to the left of 0.Draw points on the integers to the right of 0.

Answers

Explanation:

According to the table, the statement "note sent to parents" is represented by the following inequality:

[tex]points\text{ < 0}[/tex]

this can be represented as all integers less than zero. That is all integers to the left of 0.

We can conclude that the correct answer is:

Answer:

Draw points on the integers to the left of 0.

Other Questions
Please help with this problem my son is having problems showing his work an understanding how. Solve x2 6x = 16 using the quadratic formula method. Show your work. Then describe the solution. As the Revolutionary War carried on, the Continental Congress directed colonies to suppress royal authority and to create institutions based on popular rule. Which state constitution do you believe provided the most improvement in terms of democracy? How were these constitutions similar and different to how states were governed as colonies? A = P + PRT/100Make P the subject from the formula. a company acquired a warehouse for $500,000, which it expects to use for 25 years with an estimated residual value of $100,000 at the end of that time. if the company employs the half-year convention, how much is depreciation expense for the year of acquisition? classify in as many ways possible educating managers and employees about the numerous professional, personal, and societal advantages inherent in recognizing the worth of all employees without regard to gender or race is goal of Which expression is equivalent to 2x ^ 2 - 2x + 7 ? Reece increases the amount of money he pays into his savings account by 4% each year. This year, he paid 3000 into his account. To the nearest penny, how much did Reece pay into his account a) 1 year ago? b) 10 years ago? A sprinkler rotates back and forth from point A to point B. The water reaches 8 meters from the base of the sprinkler.What is the length of the arc AB, rounded to the nearest tenth of a meter? Use 3.14 for [tex]\pi[/tex] The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $4.00 per bottle. Older kittens need wet cat food which costs $1.50 per can. Answer numbers 5 and 6. 15) Write an algebraic expression to describe how much the humane society will spend on kitten supplies based on the number of bottles and the number of cans they buy. 16) How much money (before tax) will the humane society spend if they buy 5 bottles of kitten formula and 12 cans of wet cat food? Show your work. Find the slope of the two points: (-3,-2) & (5, -8)ter Numerical value ONLY. NO Decimals* consider the pet-ch 1 readings discussion of ethical behavior of group members. jim, a member of the uni debating team, likes just to sit and listen to the others in his small group. he rarely says anything and contributes even less. based on his behaviors, jim would be considered a ? Before Catherine the Great became the ruler of Russia, she wanted to help the serfs. Select the reasons below that caused her to change her mind and not change serfdom (Choose 3)A) The landowning nobles did not want to lose their labor force.B) The Serfs paid high amounts of taxes and the government needed that to fund the army.C) The Serfs owned a majority of the land in Russia. Catherine the Great wanted their land.D) The Serfs revolted in 1773 slaughtering nobles and looting their estates. Aldo gets paid biweekly. His gross pay for each pay period is $850.He has 16% withheld for taxes and 7% withheld for personal deductionsWhat is the amount of his annual net pay?a. $8,160b. $17,340c. $17,017d. $17,680 A sample has a sample proportion of 0.3. Which sample size will produce the widest 95% confidence interval when estimating the population parameter?A. 36B. 56C. 68D. 46 Whats the correct answer answer asap for brainlist please Floyd is an aspiring music artist. He has arecord contract that pays him a base rate of$200 a month and an additional $12 for eachalbum that he sells. Last month he earned atotal of $644.Write an equation to determine the numberof albums (a) Floyd sold last month.Find the number of albums Floyd sold lastmonth.albums the functional classification of joints is based on the type and degree of movement that they allow. what are the 3 types of joints in the functional classification? True or False? When the first coordinate is positive, that point is located to theright of the x-axis.TrueFalse 6. Find the domain and range of V(x) in this context.7. Think of V(x) as a general function without the constraint of modeling the volume of a box. What would be the domain and range of V(x)?8. Use correct notation to describe the end behavior of V(x) as a function without context.