ANSWER ASAP IM BEING TIMED
IF I GET AN A ON THIS I WILL DO ANOTHER POINT FREE DROP, PLEASE SHOW YOUR WORK

The side of a square measures (4x − 7) units.

Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

(10 points)

Answers

Answer 1

Step-by-step explanation:

Area of a square = s x s

(4x-7)x(4x-7)

Open brackets

4x(4x-7)-7(4x-7)

16x^2-28-28x+49

16x^2-28x+21


Related Questions

Whole numbers are closed under addition because the sum of two whole numbers is always a whole number. Explain how the process of checking polynomial division supports the fact that polynomials are closed under multiplication and addition.

Answers

Answer:

Sample Answer: If there is no remainder, then the dividend is equal to the quotient times the divisor.

The quotient and divisor are both polynomials, and their product, the dividend, is a polynomial.

If there is a remainder, then it gets added on to the product of the quotient and the divisor.

The sum of the remainder and the product of the quotient and divisor is the dividend, which is a polynomial.

Step-by-step explanation:

for sure enjoy!

Answer:

If there is no remainder, then the dividend is equal to the quotient times the divisor.

The quotient and divisor are both polynomials, and their product, the dividend, is a polynomial.

If there is a remainder, then it gets added on to the product of the quotient and the divisor.

The sum of the remainder and the product of the quotient and divisor is the dividend, which is a polynomial.

There are 200 blue balls and 10 red balls in an urn. Suppose that 10 balls are taken random;ly from the urn and let X denote the number of red balls selected.
a) The distribution of the random variable X is___.
i) Binomial.
ii) Hypergeometric.
iii) Poisson.
iv) Normal.
v) Exponential.
vi) Uniform
b) Find P(all 10 balls are red).
c) Which distribution from those listed in part (a) can be used as an approximation to the distribution of X? With this approximation find P(X = 10).

Answers

Answer:

Hypergeometric

Kindly check explanation

Step-by-step explanation:

For a hypergeometric distribution, the following conditions must be met :

1.) The total number of samples must be fixed.

2.) Sample size will be a portion of the population

3.) The probability of success changes per trial. This is because sampling is done without replacement

The above scenario meets the condition described:

Total number of samples = 210

Sample size, n = 10

Blue balls = 200 ; red balls = 10

P(10 red balls)

Using the hypergeometric distribution function and the calculator :

X ~ H(n, N, M)

X ~ (10, 200, 210) = 0.6072

To find the quotient of 8 divided by one-third, multiply 8 by
O One-eighth
O One-third
O 3
O 8

Answers

Answer:

3

Step-by-step explanation:

Skip,Flip,Multiply Method

[tex] \frac{8}{ \frac{1}{3} } = \frac{8}{1} \times 3 = 24[/tex]

Answer:

3

Step-by-step explanation:

Learning Task No. 1 Randy, Manny and Jan put 3 As, 4 Bs and 5 Cs in the box. They will take turns in getting a letter from the box. They are trying to test the probability of getting their favourite letter.

Randy - A
Manny-B
Jan-C

1. What is the probability of getting each boy's favourite letter? a. Randy b. Manny c. Jan
2. If you are next to Jan to pick up a letter and your favourite letter is A , What is the probability of getting your favourite letter?
3. Who is most unlikely to get his favourite letter.​

Answers

Answer:

1. A = 3/12

B= 4/12

C = 5/12

2......

3. Randy

Step-by-step explanation:

3+4+5 = 12

therefore there are 12 letters in the box

we can say that there are 3/12 A's in the box and do the same for the remaining letters

question two does not make sense

3. the person who has the lowest fraction in value which is A

Find the length of an arc of a circle with a 8-cm radius associated with a central angle of 240 degrees. Give your answer in exact and approximate form to the nearest hundredth.

Answers

Answer:

l = 1920 cm

Step-by-step explanation:

Given that,

The radius of circle, r = 8 cm

The central angle is 240 degrees

We need to find the length of the arc. We know that,

[tex]l=r\theta[/tex]

Where

l is the length of the arc

So,

[tex]l=8\times 240[/tex]

[tex]\implies l=1920\ cm[/tex]

so, the length of the arc is equal to 1920 cm.

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(t) =
4 + t + t2

t

G(t) =

Answers

Step-by-step explanation:

[tex]G(t) =\displaystyle \int (4 + t + t^2)dt[/tex]

[tex]\:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C[/tex]

Check:

[tex]\dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)[/tex]

Please help me figure out if this truth table is equivalent or not. People who show their work and give a proper answer shall receive brainliest

Answers

Answer:

The statements are logically equivalent.

The 6th column is:

F T F F

The 7th column is:

F T F F

Step-by-step explanation:

The 6th column is just the opposite of the 5th column

The 7th column is T only if both the 1st and 4th are T

URGENT 50 POINTS

Which equation does the graph below represent?

Answers

Answer:

It is indeed y = -4x

Step-by-step explanation:

We see that for every increase of 1 in the x direction, y goes down 4.

Pay attention to the scales of the x and y axes.

Slope = rise/run

we rise -4 and run 1.

so the slope is -4/1 = -4

The y-intercept is at (0,0)

So the equation is y = -4x


Domain and range

O Function
O Not a function

Answers

Answer:

Radiation 1- Function

Radiation 2- Not a function

Radiation 3- function

Radiation 4- function

Answer:

1 - Function  

2 - Not a function

3 - function

4 - function

Step-by-step explanation:


It takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, Find the distance traveled.

Answers

Answer:

85 mi

Step-by-step explanation:

Let d = the distance in miles traveled

Let M = the time in hours for Maria to travel d miles

[tex]m+\frac{3}{4} =[/tex] time in hours for Ricky to travel d miles

(Note that [tex]\frac{3}{4}[/tex] hrs = 45 min)

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

Maria's equation:

d = 51m

Ricky's equation:

d = 24 · [tex](m+\frac{3}{4} )[/tex]

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

Substitution:

51m = 24 · [tex](m+\frac{3}{4} )[/tex]

51m = 24m + 45

6m = 10

m = [tex]\frac{5}{3}[/tex]

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

d = 51m

d = 51 · [tex](\frac{5}{3})[/tex]

d = 85

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

The distance traveled is 85 mi

If it takes Ricky, traveling at 24 mph, 45 minutes longer to go a certain distance than it takes Maria traveling at 51 mph, the distance traveled is 85 miles

Speed and distances

Speed is the ratio of distance traveled to time taken. Mathematically:

Distance = Speed/Time

According to the given question:

Let d be the distance in miles traveledLet M be the time in hours for Maria to travel d milesLet the required time in hours for Ricky to travel be d miles

Set up the Maria equation:

d = 51m

Set up Ricky's equation:

d = 24 · (m+3/4)

Substitute

51m = 24 · (m+3/4)

51m = 24m + 45

6m = 10

m = 5/3

Determine the required distance

d = 51m

d = 51 · 5/3

d = 85

Hence the distance traveled is 85 mile

Learn more on distance and speed here: https://brainly.com/question/26046491

Work out the area of the shape,show working out
help me and I think I did the sides wrong

Answers

25 x 10 = 250
11 x 6 = 66
250 - 66 = 184 cm

Which equation could represent each grapes polynomial function?

Answers

9514 1404 393

Answer:

top graph: y = x(x +3)(x -2)bottom graph: y = x⁴ -5x² +4

Step-by-step explanation:

Each x-intercept at x=a corresponds to a polynomial factor of (x -a).

__

The top graph has x-intercepts of -3, 0, +2, so the factors of this cubic are ...

  y = (x +3)(x -0)(x -2)

  y = x(x +3)(x -2) . . . . . . . matches upper right tile

__

The bottom graph has x-intercepts of -2, -1, 1, 2, so the factors of this quartic are ...

  y = (x +2)(x +1)(x -1)(x -2) = (x² -4)(x² -1)

  y = x⁴ -5x² +4 . . . . . . . matches lower left tile

I NEED HELP!!!!
If, XYZ~EDF the measure of angle F is

Answers

Answer:

63°

Step-by-step explanation:

∠F is equal to ∠Z

Which value of X makes the quotient of (5x^5+90x^2-135x)/(x+3) undefined
A -2
B -3
C -4
D -1

Answers

Answer:

b) - 3

Step-by-step explanation:

If x = -3 , then

x + 3 = -3 + 3 = 0

So, denominator would become 0. So , anything divided by 0 is undefined

In what country of United states of heightlandia, the height measurements of ten year old children are approximately normally distributed with a mean of 53.2 inches and standard deviation of 6.7 inches?

Answers

Step-by-step explanation:

hi I can help you out in this work via Wazapp

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that more than 1 vessel transporting nuclear weapons was destroyed

Answers

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Fleet of 17 means that [tex]N = 17[/tex]

4 are carrying nucleas weapons, which means that [tex]k = 4[/tex]

9 are destroyed, which means that [tex]n = 9[/tex]

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

[tex]P(X > 1) = 1 - P(X \leq 1)[/tex]

In which

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294[/tex]

[tex]P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412[/tex]

[tex]P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588[/tex]

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated samplingg distribution.

The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.5 years and a standard deviation of 2.1 years. Random samples of size 17 are drawn from the population and the mean of each sample is determined.

a. 1.33 years, 2.1 years
b. 5.5 years, 0.12 years
c. 5.5 years, 0.51 years
d. 1.33 years, 0.51 years

Answers

Answer:

c. 5.5 years, 0.51 years

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Mean of 5.5 years and a standard deviation of 2.1 years.

This means that, for the population, [tex]\mu = 5.5, \sigma = 2.1[/tex]

Random samples of size 17.

This means that [tex]n = 17[/tex]

Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution.

The mean is the same as the mean for the population, that is, 5.5 years.

The standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{2.1}{\sqrt{17}} = 0.51[/tex]

This means that the correct answer is given by option c.

The durations (minutes) of 26 electric power outages in Shah Alam over the past five years are shown below. 32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17 (a) Find the mean, median and mode.

Answers

Answer:

Mean = 33.31

Median = 26

Mode = 17

Step-by-step explanation:

Given the data:

32 44 25 66 27 12 62 9 51 4 17 50 35 99 30 21 12 53 25 2 18 24 84 30 17 17

Reordered data : 2, 4, 9, 12, 12, 17, 17, 17, 18, 21, 24, 25, 25, 27, 30, 30, 32, 35, 44, 50, 51, 53, 62, 66, 84, 99

The mean, xbar = Σx / n = 866 /26 = 33.31

The median = 1/2(n+1)th term

Median = 1/2(27)th term = 13.5th term

Median = (13 + 14)th / 2

Median = (25 + 27) / 2 = 26

The mode = 17 (highest frequency)

A loan of £1000 has a compound interest rate of 2.7% charged monthly. Express the original loan as a percentage of the total amount awed after 2 months if no payment are made

Answers

Answer:

£1054.729

Step-by-step explanation:

To find compound interest you need to use the equation 1000(1.027)^x.

To find the interest rate (1.027):

100 + 2.7 = 102.7

102.7 / 100 = 1.027

The value of x is the amount of months if no payment is made in this situation, so 2 would be the x value for this problem.

Hope this helps!  

which represents the value of point D on the number line?

Answers

Answer:

The answer would be D, -(-4)

Step-by-step explanation:

This is because two negatives equal a positive.

Answer:

D shawtay

Step-by-step explanation:

the answers d cus negatives cancel eachother out


A driver must decide whether to buy a new car for $24,000 or lease the same car over a four-year period. Under the terms of the lease, she can make a down payment
of $3000 and have monthly payments of $150. At the end of the four years, the leased car has a residual value (the amount she pays if she chooses to buy the car at
the end of the lease period) of $11,000. Assume she can sell the new car at the end of the four years at the same residual value. Is it less expensive to buy or
to lease?

Answers

Answer:

3000 is the answer this question.

Jose bought 750 bags of peanuts for 375.00. He intends to sell each bag for 0.15 more the he paid. How much should he charge for each bag

Answers

Find out how much is 1 bag of peanuts that he bought.

375.00 divided by 750 = 0.50 cents

0.50 + 0.15 = 0.65 cents

Jose should charge 0.65 cents for each bag.

Answer:

Charge for each bag = 0.65

Step-by-step explanation:

Let the cost of 1 bag be = x

Bags             Cost

750               375.00

 1                     x

[tex]\frac{750}{1} = \frac{375}{x}\\\\x \times 750 = 375 \times 1\\\\x = \frac{375}{750} = 0.50[/tex]

Therefore, the amount Jose paid for each bag = 0.50

He is going to sell each bag for 0.15 more than he paid,

that is , 0.50 + 0.15 = 0.65

The catch-up effect says that low-income countries can grow faster
higher income countries. However, in statistical studies covering many countries
differences, we do not observe the catch-up effect unless we control for the
other variables affecting productivity. Consider the factors that determine productivity, list and solve
I like the reasons why a poor country can't keep up with rich countries.

Answers

worldwide markets are already established with bis stakeholders like McD, Appe, MS, Aldi Car Manufacturers etc.

so seeing a big corporation emerging from an underdeveloped country would be kind of a suprising thing to happen.

also, economically developed countries are likely to have stable trade relationships with other countries. giving them an edge over outsiders.

Already existing infrastructure might also be a concern to keep in mind when planning your business. It's nice to have mobility, internet, electricity, water at you tap.

I guess there could even be some kind of language barrier for many countries with an insufficient educational system. that might hinder individuals to participate in the global market and community.

Find, correct to the nearest degree, the three angles of the triangle with the given ven
A(1, 0, -1), B(4, -3,0), C(1, 2, 3)
o
CAB =
O
LABC =
O
LBCA =

Answers

9514 1404 393

Answer:

  ∠CAB = 86°

  ∠ABC = 43°

  ∠BCA = 51°

Step-by-step explanation:

This can be done a couple of different ways (as with most math problems). We can use the distance formula to find the side lengths, then the law of cosines to find the angles. Or, we could use the dot product. In the end, the math is about the same.

The lengths of the sides are given by the distance formula.

  AB² = (4-1)² +(-3-0)² +(0-(-1)) = 16 +9 +1 = 26

  BC² = (1-4)² +(2-(-3))³ +(3-0)² = 9 +25 +9 = 43

  CA² = (1-1)² +(0-2)² +(-1-3)² = 4 +16 = 20

From the law of cosines, ...

  ∠A = arccos((AB² +CA² -BC²)/(2·AB·CA)) = arccos((26 +20 -43)/(2√(26·20)))

  ∠A = arccos(3/(4√130)) ≈ 86°

  ∠B = arccos((AB² +BC² -AC²)/(2·AB·BC)) = arccos((26 +43 -20)/(2√(26·43)))

  ∠B = arccos(49/(2√1118)) ≈ 43°

  ∠C = arccos((BC² +CA² -AB²)/(2·BC·CA)) = arccos((43 +20 -26)/(2√(43·20)))

  ∠C = arccos(37/(4√215)) ≈ 51°

The three angles are ...

  ∠CAB = 86°

  ∠ABC = 43°

  ∠BCA = 51°

_____

Additional comment

This sort of repetitive arithmetic is nicely done by a spreadsheet.

When Claire chooses a piece of fruit from a fruit bowl, there is a 22% chance that it will be a plum, an 18%
chance that it will be an orange, and a 60% chance that it will be an apple. Which type of fruit is she least likely
to choose?

Answers

Answer:

Orange

Step-by-step explanation:

As the chance of choosing orange is 18% which is the least.

Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heights of a random sample of 196 people from the city. The average height of your sample is 68 inches, while the standard deviation of the heights in your sample is 7 inches. The standard error of your estimate of the average height in the city is

Answers

Answer:

The standard error of your estimate of the average height in the city is 0.5 inches.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

You begin by collecting the heights of a random sample of 196 people from the city.

This means that [tex]n = 196[/tex]

The standard deviation of the heights in your sample is 7 inches.

This means that [tex]\sigma = 7[/tex]

The standard error of your estimate of the average height in the city is

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{7}{\sqrt{196}} = 0.5[/tex]

The standard error of your estimate of the average height in the city is 0.5 inches.

The mean monthly car payment for 121 residents of the local apartment complex is $372. What is the best point estimate for the mean monthly car payment for all residents of the local apartment complex

Answers

Answer:

Needed point estimate is $372

Step-by-step explanation:

Given:

Number of houses in resident area = 121

Monthly mean car payment = $372

Find:

Best point estimate for the mean monthly car payment

Explanation:

The "best point estimate" for such average monthly automobile payment for all inhabitants of the nearby apartment complex is used as the "sample mean." In this example, a $372 sample was obtained on 121 residents.

As a result, the needed point estimate is $372.

Please help!!! Picture included

Answers

Step-by-step explanation:

A is your answer.

You just have to solve for each function individually and see what the roots are.

9514 1404 393Answer:

  (a)  f(x) = 2x² -2

Step-by-step explanation:

The function has two zeros, at -1 and 1, so is not a linear or square root function. The only viable choice is the correct one:

  f(x) = 2x² -2

2.6.5 A plant physiologist grew birch seedlings in the green-house and measured the ATP content of their roots. (See Example 1.1.3.) The results (nmol ATP/mg tissue) were as follows for four seedlings that had been handled identically.39 1.45 1.19 1.05 1.07 Calculate the mean and the S

Answers

Answer:

[tex](a)\ \bar x = 1.19[/tex]

[tex](b)\ \sigma_x = 0.18[/tex]

Step-by-step explanation:

Given

[tex]n = 4[/tex]

[tex]x: 1.45\ 1.19\ 1.05\ 1.07[/tex]

Solving (a): The mean

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{1.45 + 1.19 + 1.05 + 1.07}{4}[/tex]

[tex]\bar x = \frac{4.76}{4}[/tex]

[tex]\bar x = 1.19[/tex]

Solving (b): The standard deviation

This is calculated as:

[tex]\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n - 1}}[/tex]

So, we have:

[tex]\sigma_x = \sqrt{\frac{(1.45 -1.19)^2 + (1.19 -1.19)^2 + (1.05 -1.19)^2 + (1.07 -1.19)^2}{4 - 1}}[/tex]

[tex]\sigma_x = \sqrt{\frac{(0.1016}{3}}[/tex]

[tex]\sigma_x = \sqrt{0.033867}[/tex]

[tex]\sigma_x = 0.18[/tex]

Which of the following are exterior angles?

Answers

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

∠ 3, ∠ 2, ∠ 6, ∠ 5 are the exterior angles in this figure.

Step-by-step explanation:

↦ They aren't located inside the figure like ∠ 1 & ∠ 4, so they are exterior angles.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

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