How to solve this problem

How To Solve This Problem

Answers

Answer 1

Answer:

Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Step-by-step explanation:

We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i

Prime factors of 81 are: 3x3x3x3

and [tex]\sqrt{-1}=i[/tex]

Solving:

[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]

So, Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]


Related Questions

5.401 \times 10^{-1} = {?}5.401×10 −1 =?

Answers

Answer:

2.005 x 10^2

Step-by-step explanation:

Solve each system using substitution.

1. 4x= 3y-2 ; 18= 3x+y​

Answers

Answer:

y = 6

Step-by-step explanation:

so since you have 2 variables, you need to find a substitution for one of them.

let's do that for y

let y = something in the second equation.

y = 18 - 3x

then plug this into the first equation

4x = 3(18 - 3x) - 2

4x = 54 - 9x -2

4x = 52 - 9x

13x = 52

x = 4

now you have x, plug it into any of the equations to find y.

4(4) = 3y - 2

16  = 3y - 2

18 = 3y

y = 6

Answer:

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 -----1

18= 3x+y -----2

Isolate the y in 2.

y = 18-3x -----3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6

HELP ASAP PLS I DONT UNDERSTAND IM GIVING 15 POINTS AND ILL GIVE BRAINLIEST TO WHOS RIGHT​

Answers

Answer:

(1.5, -2.5)

Step-by-step explanation:

Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.

Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).

Answer:

C, 1.5, -2.5

Step-by-step explanation:

Count the lines between each axis to figure out the coordinates. If the point is in between a line, it is a half.

Guys please help me with this?!

Answers

Answer:

X = 41  

y = 7.22

Step-by-step explanation:

Could someone help me on this question? Will mark brainliest.

Answers

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6x+17+74+35=180

(6x)+(17+74+35)=180(Combine Like Terms)

6x+126=180

6x+126=180

Step 2: Subtract 126 from both sides.

6x+126−126=180−126

6x=54

Step 3: Divide both sides by 6.

6x /6 = 54 /6

x = 9

Plz answer the question attached

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

How do you write 5 out of 6 in a fraction. Show how you got the answer.

Answers

Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

Answer:

5/6

5 out of 6

Step-by-step explanation:

Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 30 inches long.
If she knits at the same rate, how many minutes will it take Shelby to knit the scarf?

Answers

Answer:

90 minutes

Step-by-step explanation:

let x=amount of time it would take for Shelby to knit the scarf

[tex]\frac{15}{5} =\frac{x}{30}[/tex]

cross multiply

15*30=5x

450=5x

450/5=x

x=90

It would take Shelby 90 minutes to knit a scarf that is 30 inches long.

2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3

Answers

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

Consider the following statements:
I. As far as the significance level is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test.
II. A point estimation procedure utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest.
a. I and II are both true.
b. I and II are both false.
c. I is true and II is false.
d. I is false and II is true.
e. I is false and II is sometimes true.

Answers

Answer:

b. I and II are both false.

Step-by-step explanation:

I. For a significance level, the two tailed hypothesis is not always accurate than the one tailed hypothesis test. The hypothesis testing is carried to find out the correctness of a claim of a population parameter. The two tail hypothesis test which used both positive and negative tails of the distribution is not always more accurate than one tailed test.

II. The process of the point estimation involves the utilization of the values of a statistic which is obtained from the sample data to obtain the best estimate of a corresponding unknown parameter in the given population.

Hence, both the statements are false.

PLS HELP GUYS!!!
Select the correct step to solve 10x = 150.


Divide only one side of the equation by 150.

Divide both sides of the equation by 10.

Divide both sides of the equation by 150.

Divide only one side of the equation by 10.

Answers

Answer:

divide both sides of the equation by 10

divide both sides by 10 or just divide 150 by 10

You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?​

a) Yes
b) No

Answers

Answer: Yes

Step-by-step explanation: got it wrong and told me the correct answer

A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.

Answers

Answer:

344 feet

Step-by-step explanation:

474-130=344

find the sum of (2c+6)+3(c+8) pls help me for 15 points and a brainiest!!!

Answers

Answer:

(2c+6)+3(c+8)

=2c+6+3c+24

=5c+30

21 ft
What is the area of this rectangle?
Select the correct answer.
-21 ft
-24 1/2 yd 2
-14 yd 2
-28 yd2
-49 yd2
-None of the above.

Answers

Answer:

A=441 so none of the above

Step-by-step explanation:

A=wl=21·21=441

If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2

Answers

Answer:

C.

Step-by-step explanation:

G(x) = 5x - 2

G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.

G^-1(x) = (x/5) + 2

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FASTEST!

Answers

Answer:

speed i answerd first U.U

Step-by-step explanation:

Solve for h .

-18 + h = 28

h =

Answers

Answer:

H = 46

Step-by-step explanation:

Add 18 to both sides to get h by itself

h = 46

Final Answer: [tex]h = 46[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]h[/tex]. [tex]-18 + h = 28[/tex]. [tex]h[/tex] = ?

Step 1: Regroup the terms.

[tex]h - 18 = 28[/tex]

Step 2: Add [tex]18[/tex] to both sides.

[tex]h = 28 + 18[/tex]

Step 3: Simplify [tex]28 + 18[/tex] to [tex]46[/tex].

[tex]h = 46[/tex]

~I hope I helped you :)~

A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

Answers

Answer:

The sample size is [tex]n = 2[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  [tex]\sigma = 2.539[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>  [tex]n = [\frac{2.58  *  2.539  }{4.266} ] ^2[/tex]

=>  [tex]n = 2[/tex]

Help me please I’m confused

Answers

Answer:

Its c

Step-by-step explanation:

WILL GIVE BRAINLIEST

Just need the answer

Answers

Answer: B

Step-by-step explanation:

Right Triangle Trigonometry.

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)

Answers

Answer:

so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract

Step-by-step explanation:

⚠️HELP PLZ TIMED⚠️
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
O 2
O9
12
O 36

Answers

I’m pretty sure it’s 12 don’t take my advice tho just saying

1. Slope: (put your answer in the form 3/4)

Answers

Answer:

1/4x

Step-by-step explanation:

The slope of any graph can be determined with the same formula

Change in Y

Change in X

Fill in the fraction

1

4

Thats how you get the slope.

I hope this helps!

pls give brainliest and thanks

A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. Use an equation in point-slope form to determine the height of the candle after 2 hours.

Answers

Answer: 8.75 is the correct answer

Step-by-step explanation:

I'm big brain.

Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?

Answers

Answer:3,360.0

Step-by-step explanation:

What is the greatest common factor of 48x3, 12x4, and 36x5?

Answers

12 is the greatest common factor

List the subsets of the set { dog,cat,rabbit}

Answers

Answer: so dog goes to cat, dog goes to rabbit and cat goes to rabbit I think

Step-by-step explanation:

The possible Subset is

Sub sets :  {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.

What is a subset ?

If each constituent of a set A is a member of a different set B, then the sets A and B are subsets of one another.

To put it another way, A⊂B A and B stand for the subset connection.

Set A is referred to as a subset of Set B if all of the elements in Set A are also found in Set B. In other words, Set A is a part of Set B. A is the subset of B, for instance, if set A contains the elements X, Y, and set B contains the elements X, Y, and Z.

We have set,

Set :  {dog, cat, fish}

Then, the subset contain the elements of set A as

Sub sets :  {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}.

learn more about Subset here:

brainly.com/question/2280091

#SPJ3

Which statements are true about triangle XYZ? Select three options.
XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.

Answers

First, second and fourth options are true about triangle XYZ.

XY measures [tex]\sqrt{26}[/tex] units.

YZ measures [tex]\sqrt{52}[/tex] units.

ZX measures [tex]\sqrt{26}[/tex] units.

XYZ is a right triangle.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given X (-1, 5), Y (4, 4), Z (-2, 0)

Distance between two points D = [tex]\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}}[/tex]

|XY| = [tex]\sqrt{(4-5)^{2} +(4+1)^{2} } =\sqrt{1^{2}+5^{2} } =\sqrt{26}[/tex]

|YZ| = [tex]\sqrt{(0-4)^{2} +(-2-4)^{2} } =\sqrt{4^{2}+6^{2} } =\sqrt{52}[/tex]

|XZ| = [tex]\sqrt{(0-5)^{2} +(-2+1)^{2} } =\sqrt{5^{2}+1^{2} } =\sqrt{26}[/tex]

[tex]|XY|^{2} +|XZ|^{2} =|YZ|^{2}[/tex]

So, XYZ is a right triangle.

So, the first, second and fourth options are correct.

Find out more information about right triangle here

https://brainly.com/question/6322314

#SPJ3

Answer: a and d

Step-by-step explanation:

edge

Other Questions
Georgia's first way of distributing land was what? * a.Land Lotteries b. Land Grants c.The Head Right D. System Land Grabs hhelp will give brainliest I NEED HELP ASAP!!World history Natalia bought 888 glitter wands for \$50$50dollar sign, 50.Determine whether or not each wand purchase below has the same price per wand as glitter wands.Has the same price per wand as glitter wandsDoes not have same price per wand as glitter wands444 sparkle wands for \$20$20dollar sign, 20666 fairy wands for \$37.50$37.50dollar sign, 37, point, 50101010 glow wands for \$65$65dollar sign, 65 Which of the following statements about Mutual Funds is FALSE?A. Mutual funds that are actively managed by a fund manager are trying to "beat the market" averages.B. Active mutual fund managers charge fees of about 1% on average.C. An advantage of investing in mutual funds is that you don't have to pick individual stocks and bonds. which is not a member of the string family? A. Mandolin B. Bouzouki C. Dulcimer D. Timpani E. Lute F.Ukulele Why are the inner plaets smaller The Global Footprint Network is an organization dedicated to the advancement of environmental sustainability around the world. The organization performed a data analysis of the relationship between Ecological Footprint Consumption per Capita and human development index (HDI) by country. The Ecological Footprint Consumption per Capita represents the demand in land resources imposed by human consumption per person, measured in hectares. The Human Development Index (HDI) metric is a calculation that combines life expectancy, education, and per capita income data in order to rank countries by human development. The Ecological Footprint Consumption per Capita, HDI, and country name data for a set of countries are provided in the data file.Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI Calc Produce a scatterplot with Ecological Footprint Consumption per Capita as the response variable, y, on the vertical axis and HDI as the explanatory variable, x, on the horizontal axis. Identify the names of the countries that are outliers based on the scatterplot, starting with the most extreme outlier, followed by the second-most extreme outlier. Data:Length GRT_min98 14126 11115 27110 20120 2113 2891 1988 12.35107 15111 1490 10117 2496 7117 23117 1286 2896 979 1377 13118 4790 2784 10105 1591 1494 1886 1399 5 120 31118 1388 8.85118 18113 581 69.1797 28103 22.4111 22.75110 9.12112 7.48109 23.6789 57.25114 26.41101 1091 2197 9.48110 17.982 15.22106 21.77117 17.0599 17.93111 36.6579 23.38115 13.2296 23.3896 16.28 What country has its northern border protected by 3 separate mountain ranges? Ill give brainliest PRONTO The_______represents retail and institutional foodservice establishments 1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective. Which process is true about natural selection? Marios pizzeria makes an average of 23 pizzas per hour during this week. What is the probability that Mario will make 21 pizzas during an hour this week?0.0790.0760.00000000270.073 Which graph represents y=x over the domain 4x1 ? Beccas dog walking business started with 1 dog. She walks 2 additional dogs each month.The graph represents the problem. How many dogs does she walk in the third month? If bc+ad=b solve for a An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil. A. What is the probability that the first strike comes on the third well drilled?B. What is the probability that the third strike comes on the seventh well drilled?C. What is the mean and the variance of the number of bad wells, if the oil company wants toset up three producing wells? A family eats at a restaurant and the meal is $65, and they leave a tip of 20% of the price of the meal. What is the total with the meal and the tip? Under the Articles of Confederation, the government faced many challenges. The passage of the Northwest Ordinance of 1787 was considered one of the primary successes of the period.Why was the Northwest Ordinance important?Group of answer choicesIt solved the problem of slavery by banning it in every state within the United StatesIt was way ahead of its time in establishing the right to vote for all women in the Northwest TerritoryIt established a system of taxation that required all states to contribute to the expenses of maintaining the Northwest Territory.It addressed the need for government in the Northwest Territory and established precedents for future governing of the United States.