[tex]4x^{2} +12x+8=0[/tex]

Answers

Answer 1

Step-by-step explanation:

4x² + 12x + 8 = 0

this has the same solutions as

x² + 3x + 2 = 0

as we simply divided everything by 4. 0/4 = 0.

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case that is

x = (-3 ± sqrt(3² - 4×1×2))/(2×1) =

= (-3 ± sqrt(9 - 8))/2 = (-3 ± sqrt(1))/2

x1 = (-3 + 1)/2 = -2/2 = -1

x2 = (-3 - 1)/2 = -4/2 = -2

so, the 2 solutions are

x = -1

or

x = -2


Related Questions

Hank rents 9 cases of plates.He has 250 guests attending the banquet. There are 30 plates in each case. Did Hank rent enough plates? Explain

Answers

Answer:

yup

Step-by-step explanation:

so to find the amount of plates he has we :

30*9 = 270

How many guests :

250

Hank has 20 extra plates,

hope this helps :)

How will the mode be affected if the outlier is removed from the data set below? 58, 60, 53, 54, 60, 35, 58, 60

will the mode decrease?

will the mode not change?

is there not enough information?

will the mode increase?​

Answers

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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-4x=76 x equals _-____________________________________________________________________________________________________________________________________________________________--

Answers

The value of x in the equation -4x = 76 is 19.

What is equation?

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

-4x = 76,

-x = 76 / 4,

x = -19

Therefore, the value of x in the equation -4x = 76 is 19.

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3x ≥5 or -3/5x-3>7 solve the compound inequality

Answers

By using the concept of linear inequation, the required solution is

[tex]x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here the given linear inequation is

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7[/tex]

Now

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5} x > 7 + 3\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5}x > 10\\\\x > \frac{5}{3} \ or \ x < \frac{10 \times 5}{-3}\\\\x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

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Pixel A is located 80 km from the Jacksonville radar. How many seconds did it take for the radar pulse to travel to the target at Pixel A and return to the radar? (It will be a very small answer!)
C= 3 × 10^8 m s−1
R= 80,000
R= CT/2

Answers

[tex]C=3\times 10^8~\frac{m}{s}\hspace{5em}R=80000\implies R=8\times 10^4 \\\\[-0.35em] ~\dotfill\\\\ R=\cfrac{CT}{2}\implies 2R=CT\implies \cfrac{2R}{C}=T\implies \cfrac{2(8\times 10^4)}{3\times 10^8}=T \\\\\\ \cfrac{16\times 10^4}{3\times 10^8}=T \implies \cfrac{16}{3}\times\cfrac{10^4}{10^8}=T\implies \cfrac{16}{3}\times\cfrac{1}{10^8\cdot 10^{-4}}=T \\\\\\ \cfrac{16}{3}\times\cfrac{1}{10^{8-4}}=T \implies \cfrac{16}{3\times 10^4}=T\implies \cfrac{16}{30000}=T\implies \cfrac{1}{1875}=T[/tex]

one serving of a certain brand of yogurt contains 7g of fat. the low fat version contains 45.75% less fat per serving. how many grams of fat does one serving of the low fat yogurt contain?

Answers

The grams of fat that are contained in one serving of the low-fat yogurt are: 3.7968g.

How do we obtain the grams of fat for one serving of low-fat yogurt?

To obtain the number of grams of fat that is contained in one serving of the low-fat yogurt, we need to first note the percentage content of the low-fat version of yogurt.

100 - 45.75% = 54.25% or 0.5425

Since one serving of the yogurt contains 7g of fat, then the low-fat serving will be equal to:

7g × 0.5425  = 3.7968

So, the total gram of fat for one serving of the low-fat yogurt is equal to:

3.7968g

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Classify the polynomial by its degree: 4m³-9x² + 10
A) 0
B) 1st
C) 2nd
D) 3rd
E) 4th

Answers

3rd because the highest degree is 4m^3

Which of the following is the formula for the solutions of a quadratic equation ax2 + bx + c = 0?

Answers

the second one with (-b+- sqrt(b^2 - 4ac))

Amount Desired at End of Period

$17,600.00

Length of Time

7

1. Period Used

2. Rate Used

23. PV factor used

3 4. PV of amount desired at end of period

Rate

2%

Compounded

Quarterly

Required:

Complete the following using the information above and the present value Table 12.3

or the present value table in the Business Math Handbook or the present value

formula to answer the following:

Note: Use cells A2 to D3 from the given information to complete this question.

Answers

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%" and PV factor used is 0.62026 .

Hence,

The amount desired at end of a period is $9400.

The length of time is 4 years .

The rate is 2%.

Compounded is monthly.

The period used is 48.

The rate used is 1%.

The PV factor used is 0.62026 .

The PV of the amount desired at the end of the period is $5830.45

What is the percentage?

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%".

Here from the question,

PV factor = (1 + i) ----(1)

where, i = 12/12 % , i =1

and

n = 4(12)

n = 48

Substituting the values in the equation , we get

PV factor = (1 + 0.01)^ -48

PV factor = 0.62026

Hence,

the amount desired at end of a period is $9400.

The length of time is 4 years.

The rate is %.

Compounded is monthly.

The period used is 48 .

The rate used is 1%.

The PV factor used is 0.62026.

The PV of the amount desired at the end of the period is $5830.45

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what the area and pelase explain give brainly points

Answers

Answer: 10 squares

Step-by-step explanation:

The answer for the area is 10 squares but I’m not sure that’s what they’re asking for.

Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.

Answers

The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.

How to find angles of a decagon?

A decagon simony means a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.

Therefore,

1440 - 1220 = 220

Let the angles be a, b and c.

Therefore,

a + b + c  =220

a + b = 90

b + c = 180

Hence,

a = 220 - 180

a = 40°

b = 90 - 40

b = 50°

c = 180 - 50

c = 130°

The angles are 40°, 50° and 130°.

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Gavin deposited money into his savings account that is compounded annually at an interest rate of 9% Gavin thought the equivalent quarterly interest rate would be 2.25% is Gavin correct?

Answers

The quarterly interest rate is equal to 2.25%. This implies that Gavin is correct.

How to determine the value of equivalent quarterly interest rate?

Mathematically, the compound interest on an investment can be calculated by using this formula:A(t) = P(1 + r/n)^{nt}

Where:A represents the future value.

r represents the interest rate.

n represents the number of times compounded.

P represents the principal.

T represents the time measured in years.

In this scenario, Gavin's savings account is compounded annually at an interest rate of 9%. This ultimately implies that, the equivalent quarterly interest rate would be calculated by dividing the annual interest rate of 9% by 4 as follows:

Quarterly interest rate = 9/4

Quarterly interest rate = 2.25%

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I need help with this Question.

Answers

The number of quarts in 12 L is 12.684 qt.

Given that, 12 L to qt.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here,

There are 1.057 quarts in a liter, and there are 0.946 liters in a quart.

Now, 12 L=12×1.057

= 12.684 qt

Therefore, the number of quarts in 12 L is 12.684 qt.

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I can determine if a relation is a
function.
1. Use vertical line test to determine if
the graph is a function. Why or why not?
71
(
7
2
Z
2
4

Answers

Answer:

1st Graph : Function

2nd Graph : Not a Function

Step-by-step explanation:

For the 1st Graph , any Vertical Line will not pass the Graph in more than one Point , So it represents a Function

For the 2nd Graph , many Vertical Line will pass the Graph in two Points , So it is not a Function

Which equation below represents the Exponent Property of Logs?

Answers

The only equation given that represents the Exponent Property of Logs is; Option A: log(A^r) = r*log(A)

How to find the exponent property of logarithm?

The  exponent property of logarithm says that the log of a power is the exponent times the logarithm of the base of the power. For example;

logₐ(MN) = logₐM + logₐN

logₐ(M/N) = logₐM - logₐN

logₐ(3²) = 2logₐ3

The first example above shows the product rule of logarithms

The second example shows the quotient rule of logarithms

The third rule shows the power rule

Now, looking at the options, the only one that shows the correct pattern of exponent property of logarithm is;

Option A: log(A^r) = r*log(A)

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can anyone help with this​

Answers

Answer:

bla blablablablabla

Step-by-step explanation:

blablablablablabla

A company that most adults would erase all of their personal data online if they could. In order to test this claim, a GFI Software Survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.
A. State the null and alternative hypotheses (in symbols).
B. Explain what a Type 1 and a Type 2 error would be in this case.
C. State the conclusion if the null hypothesis is rejected.
D. State the conclusion if the null hypothesis is not rejected.

Answers

a) The null and alternative hypothesis are given as follows:

Null: [tex]H_0: p \leq 0.5[/tex]Alternative: [tex]H_1: p > 0.5[/tex]

b) The errors are given as follows:

Type I: A sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.Type II: A sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.

c) The conclusion of a rejected null hypothesis is: There is enough evidence that most adults would erase their data if they could.

d) The conclusion of a not rejected null hypothesis is: There is not enough evidence that most adults would erase their data if they could.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence that most adults would erase all of their personal data online if they could, that is, if the proportion is not greater than 50%, hence:

[tex]H_0: p \leq 0.5[/tex]


At the alternative hypothesis, it is tested if there is enough evidence that they would erase the information, that is, if the proportion is greater than 50%, hence:

[tex]H_1: p > 0.5[/tex]

A rejected null hypothesis means that the alternative hypothesis is accepted, that is, there is enough evidence that most adults would erase their data if they could.

A not rejected null hypothesis, conversely, means that there is not enough evidence that most adults would erase their data if they could.

What are type I and type II errors?

Type I errors are when a true null hypothesis is rejected. Hence, the context of this problem, it would mean a sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.

Type II errors are when a false null hypothesis is not rejected. Hence, the context of this problem, it would mean a sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.

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A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 290 feet by 170 feet. To cover the lawn bags of fertilizer are required​

Answers

Answer:  The correct answer is 17 bags of fertilizer to cover the lawn

Step-by-step explanation:

1 bag of fertilizer covers 3000 SF of lawn

How many bags are needed for an area of 290 feet x 170 feet

Calculate the Square Feet:

290 x 170 = 49,300 SF

Divide space (SF) by bag coverage (SF):

49,300 / 3,000 = 16.43 bags of fertilizer

Round up answer to 17 bags of fertilizer

What is the mean of these numbers? 53 29 47 36 65

Answers

53+29+47+36+65=230/5= 46

You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years. How much do you owe on the loan when it comes out of forbearance?

Answers

You owe on the loan is $64512.90

Given,

In the question:

You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years.

To find the how much do you owe on the loan when it comes out of forbearance?

Now, According to the question:

Based on the given conditions,

Formulate;

You owe $46,212.35 on a student

Interest is 6.9%

46212.35 x (6.9% +1)^5

Evaluate the equation/expression:

64512.90

Hence, You owe on the loan is $64512.90

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What line is perpendicular to the line y= -1/2x + 8

Answers

Answer: y=2x+8

Step-by-step explanation:

you take the reverse of the slope being 2 including the negative.


Examine the worked examples. Then, answer the questions.
Alessa's car uses 2 gallons of gas to drive 45 miles.How many miles can
Alessa's car drive using 15 gallons of

Answers

Answer:

Alessa's car would be able to drive 337.5 miles with 15 gallons of gas.

A telephone exchange operator assumes that 8% of the phone calls are wrong numbers.

If the operator is correct, what is the probability that the proportion of wrong numbers in a sample of 494 phone calls would differ from the population proportion by more than 3%? Round your answer to four decimal places.

Answers

The probability that the phone calls would differ from the population proportion by more than 3% is 0

How to determine the probability value?

From the question, the given parameters about the distribution are

Proportion, p = 8%Sample size, n = 494The actual proportion, x = greater than 3%

The mean is calculated as

Mean = np

So, we have

Mean = 8% * 494 = 39.52

The standard deviation is calculated as

Standard deviation = √np(1 - p)

So, we have

Standard deviation = √494 * 8% (1 - 8%) = 0.77

The z-score is calculated using the following formula

[tex]z = \frac{\bar p - p}{\sqrt{p(1 - p)}/n}[/tex]

Substitute the given parameters in the above equation

[tex]z = \frac{8\% - 3\%}{\sqrt{8\% * (1 - 8\%)}/494}[/tex]

Evaluate

z = 90.9

The probability is then calculated as:

P(x > 3%) = P(z > 90.9)

From the z table of probabilities, we have;

P(x > 3%) = 0

Hence, the probability is 0

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Essay for operation of sets

Answers

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) Intersection of sets (∩) Difference of sets (–)

Set Operations include Set Union, Set Intersection, Set Difference, Complement of Set, and Cartesian Product of Set

Set Union

The union of sets A and B (denoted by A ∪ B) is the set of elements that are in A, in B, or in both A and B. Hence, A ∪ B = { x | x ∈ A OR x ∈ B }.

n(A∪B) = n(A) + n(B) − n(A∩B)

Set Intersection

The intersection of sets A and B (denoted by A ∩ B) is the set of elements which are in both A and B. Hence, A ∩ B = { x | x ∈ A AND x ∈ B }.

n(A∩B) = n(A)+n(B)−n(A∪B)

Set Difference

The set difference of sets A and B (denoted by A - B) is the set of elements that are only in A but not in B. Hence, A - B = { x | x ∈ A AND x ∉ B }.

Complement of a Set

The complement of a set A (denoted by A’) is the set of elements which are not in set A. Hence, A' = { x | x ∉ A }. More specifically, A'= (U - A) where U is a universal set that contains all objects.

The complement of a universal set is an empty set U′ = ϕ. The complement of an empty set is a universal set ϕ′ = U.

Cartesian Product / Cross Product

The Cartesian product of n number of sets A1, A2, ... An denoted as

A1 × A2 ... × An can be defined as all possible ordered pairs

De-Morgan's Law - The De Morgan's law states that for any two sets A and B, we have (A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B'

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Find the quotient.
2.4)7.68

Answers

Answer:0.3125

Step-by-step explanation:

none sry

The answer to this question is 10

Neema bought appliances costing $3725 at a store charging 5% add-on interest. She made a $700 down payment and agreed to monthly payments over four years. Find the total cost, for the appliances plus
interest.
The total cost for the appliances plus interest is $
(Type an integer or decimal.)

Answers

The total cost for the appliances plus interest is 4330.

What is an interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.

Here, we

Cost of the appliance = $3725

Neema paid $700 so amount financed = $3725 - $700 = $3025

Interest rate on the loan = 3025*0.05*4 = $605

Total cost of the appliance = $3725 + 605 = $4330

Hence, the total cost for the appliances plus interest is 4330.

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Hayley's fuel bills for her house increased from £76 a month in 2021
to £89 a month in 2022. Calculate the percentage increase in Hayley's
fuel bills from 2021 to 2022.
Give your answer correct to three significant figures.

Answers

The percentage increase in Hayley's fuel bills from 2021 to 2022 is equal to 17.105%.

What is a Percentage Increase?

The phrase "percentage increase" (or "percentage change" in general) refers to the difference between the final and starting values of a quantity, expressed as a percentage of that number's original value.

Steps to Calculate Percentage Increase?

The formula to calculate Increase (I) is given by, [tex]I=Y-X[/tex], where [tex]X[/tex] is the original value and [tex]Y[/tex] is the new value.The percentage increase formula is given by, [tex]\%I=\frac{I}{X} \times 100[/tex]

Here, in the question, it is given that,

The original amount (X) or the fuel bill in 2021 is £76.

The new amount (Y) or the fuel bill in 2022 is £89.

So, the Increase (I) in the fuel bills from 2021 and 2022 is calculated as,

[tex]I=Y-X\\\implies I=89-76\\\implies I=13[/tex]

Now, we can calculate the percentage increase in fuel bills from 2021 to 2022 as,

[tex]\%I=\frac{I}{X} \times 100\\\implies \%I=\frac{13}{76} \times 100\\\implies \%I=17.105\%[/tex]

Therefore, the percentage increase in Hayley's fuel bills from 2021 to 2022 is 17.105%.

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manuel wishes to purchase 25cent and 30 cent stamps. he decides to buy 10 fewer 30 cent stamps. How many of each can he buy for no more than $19.00

Answers

Using the simplification, Manuel buy 15 stamps of 25 cents and 5 stamps of 30 cent.

In the given question,

Manuel wishes to purchase 25 cent and 30 cent stamps.

He decides to buy 10 fewer 30 cent stamps.

We have to find how many of each can he buy for no more than $19.00.

Let he buy x stamps of 25 cent.

He want to buy 10 fewer 30 cent stamps.

So he buy x−10 stamps of 30 cent.

But he have to buy total stamps of $19.

So the equation is

x+x−10 = 19

Simplifying

2x−10=19

Add 10 on both side

2x−10+10=19+10

2x=29

Divide by 2 on both side

2/2 x =29/2

x=14.5

x≈15

Hence, he buy 15 stamps of 25 cent.

Now finding the number of 30 cent.

he buy x−10 stamps of 30 cent.

So 15−10=5.

So he buy 5 stamps of 30 cent.

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Select the values that make the inequality

Answers

The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

Given,

In the question:

To see the figure:

To select the values that makes the inequality  s ≤ 4 true.

Number table are given in figure.

To see the figure and analysis.

Now, According to the question;

To make the inequality s ≤ 4 true.

The selected value must be less than 4 {Properties of Inequality}

The values are sorted from small to large:

So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

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Current Year Previous Year
Occupied Rooms 1,512 1,458
Total Rooms 1,800 1,800

Answers

The proportions of the total rooms that were occupied each year are:

The current year is 84%.The previous year is 81%.

What is the proportion?

Proportion is the fractional value of a variable when compared to the whole.

Proportions show the ratio or relative relationship between two or more values set as equal.

Like ratios, proportions are depicted in fractions, decimals, or percentages to show how two values compare.

                                          Current Year        Previous Year

Occupied Rooms                       1,512                    1,458

Total Rooms                              1,800                   1,800

Proportion of occupied rooms = 84%                    81%

                               (1,512/1,800 x 100)         (1,458/1,800 x 100)

Thus, on average, room occupancy for the two years is 82.5%, and proportionately for each year, it is 84% for the current year, while the previous year recorded 81%.

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Question Completion:

What proportion of the total rooms were occupied each year?

Other Questions
is the sentence correct? Please help me with the third conditional !! ,,If I had known about the meeting yesterday morning, I wouldn't have been late" What prompted Nat Turner's rebellion and what were the effects of the rebellion on slaves? what does the discounted payback period ignore? group of answer choices the time value of money cash flows beyond the payback period the cost of the project. both a and b. Discussion TopicReading texts and conducting research about those who have achieved greatness canhelp you better yourself and reach your own goals.a Choose a famous figure who inspires you and find out more about their journey tosuccess.Write a brief paragraph about what you can learn from their life.I would like it to be about Tupac Shakur if you overshoot the endpoint of a titration in this experiment, it means you added too much of the titrant (naoh). if this happens without realizing it, and you measure the volume of naoh you added, what will happen to the value you calculate for the concentration of naoh? polonium was discovered in uranium ores by marie and pierre curie. polonium-210 decays by emitting a single alpha particle. what nuclide is formed in this process? Day(t) No. of CaloriesBurnedC(t)2 3144 3566 3708 38610 40512 44214 516Amanda goes to the gym every day and crosstrains. Based on a chart at the gym showing the calories expended for various activities, Amanda has kept track of the number of calories she has burned over the last two weeks. She wants to find the rate at which she burned calories on day 8. That is, she needs to find C'(8). Estimate the value. A. 8.00 calories per day B. 8.75 calories per day C. 17.50 calories per day D. 17.75 calories per dayAnswer: In photo belowYou're Welcome :) in the last several weeks, 99 days saw rain and 67 days saw high winds. in that same time period, 149 days saw either rain or high winds. how many days saw both rain and high winds? If Clare labels books at 15 books per minute and she takes no breaks, then it would take her minutes to finish labeling all the books. Why do you think Confucianism has had the influence that it has? in japan, the vast majority of people are ethnically japanese, with common ancestral roots and deep ties to living on japanese islands; they speak japanese and engage in japanese culture. using this information, japan and its people are a good example of To paint a house, a painting company chargesa flat rate of $500 forsupplies, plus $50 for each hour of labor.a.How much would the painting company charge to painta house thatneeds 20 hours of labor? A house that needs 50 hours? .How many moles are present in 5.67x1025 atoms of Carbon (C)? which contours are usually drawn darker than the other contours? group of answer choices index contours largest (max) value contour contour interval smallest (min) value contour Solve for a side in right trianglesReally need help with this one!! A 6-sided die with faces labeled1 to 6 will be rolled once.The 6 possible outcomes are listed below.Note that each outcome has the same probability.Complete parts (a) through (c). Write the probabilities as fractions.(chart attached below)(a) Check the outcomes for each event below. Then, enter the probability of the event.(b) P(A) + P(B) -P(A and B)=(c) Select the answer that makes the equation true.P(A) +P(B) - P(A and B)= Jane was asked to solve the equation `2-4=2(-5+1)`. she believes the solution to the equation is `x=\frac{1}{2}` . explain how jane could confirm that her solution is correct one half of 5 times y plus the quantity of y and 7 a 22 year-old female presents with onset of right eye vision loss 24 hours ago which has partially improved. she has experienced various widespread paresthesias, regional weakness and fatigue over the past six months. episodes vary in location, severity and duration but invariably lead to recovery. her exam is completely normal but mri reveals numerous areas of periventricular gadolinium uptake. for this condition, what treatment has shown the greatest benefit with long term use? I need help with this problem