Square root of -1 = 1. Math test

Answers

Answer 1

Answer:

false. the sqrt of -1 = i

Step-by-step explanation:


Related Questions

A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

Answers

Answer:

L = 18,4 ft

Step-by-step explanation:

The building, the ground, and the ladder make up a right triangle, with legs:

The distance (a) between the bottom of the ladder and the building 12 ft

The distance (b) between the gound and the window 14 ft up

The hypothenuse is the length of the ladder (L)

According to Pythagoras theorem

L²  = a²  + b²

L  = √  (12)²  +  (14)²

L = √ 144 + 196

L = √ 340

L = 18,4 ft

Write an equation that passes through the point (1, 3) and is perpendicular to x – 2y = -8.

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

M2=2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

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

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

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

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

y=½x+5

Find log1/4 rounded to the nearest hundredth.

Answers

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

log1/4

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

-0.60 (since the value after 0 is less than 5)

Therefore, log1/4 is -0.60

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Find the rate of change

Answers

Answer:

The rate of change of function is: 2

Step-by-step explanation:

Using the given table we have to exclude two pairs of input and output.

The rate of change or slope of function is given as:

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

We take first two pairs of input/output from the table

(x1,y1) = (1,11)

(x2,y2) = (2,13)

Putting the values

[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]

Hence,

The rate of change of function is: 2

(WHO EVER HELPS ME GETS BRAINLIEST AND EXTRA POINTSSSSS :D )

Answers

Answer:d

D. 9 and 46/180

Step-by-step explanation:

Answer:

Ok thank you for your efforts

Step-by-step explanation:

The answer is D 9 46/180

what expression gives the solution to -5+2x^2=-6x

Answers

Answer:

Step-by-step explanation:

2x² + 6x - 5 = 0

D = 36 + 40 = 76 = (2√19)²

[tex]x_{1}[/tex] = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2

[tex]x_{2}[/tex] = ( - 3 + √19) / 2

Graph the system of equations on your graph paper to answer the question. y = - x + 4, \qquad y = x - 2 What is the solution for the system of equations? Enter your answer by filling in the boxes.

Answers

Answer:

y=x+2

y=-x+8

Step-by-step explanation:

find the output when x = 6

Answers

Answer:

5

Step-by-step explanation:

the points is also given on graph

(6,5)

Pretty sure it’s 5.

A store buys lawnmowers from the manufacturer and marks

up the price by 40% to arrive at a retail price. Fill in the

blank: The wholesale price is times the retail price.

Answers

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

help find the missing lengths round to nearest tenth

Answers

Answer:

x = 20.8y = 22.3

Step-by-step explanation:

Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!

Answers

The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .

A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

We know when we add all the angles of any given triangle it is 180°

∴ a° + b° + c° = 180°

or, a° + b° = 180° - c°

Now we know that a linear pair the sum of the angles is 180°.

∴c° + f° = 180°

or, f° = 180° - c°

So from the above two equations we can say that

f° = a° + b°

Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.

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Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°​

Answers

Answer:

Last option is the correct answer.

[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex]

Step-by-step explanation:

Since, 61° + 57° + 61° = 179° < 180°

Therefore,

[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex] cannot be the measurements of triangle ABC.

a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.

I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4

I just need help with part b and I'm struggling to do it. Please help.

Answers

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive.

Answer:

Step-by-step explanation:

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.

You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive

Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform. Steve spends an average of 15 hours each week performing activities related to the rental property. Which activity is considered a substantial service?
1. Administrative activities, including paying bills and advertising the rental.
2. Changing sheets and towels between rentals.
3. Re paring carpet damaged by quests
4. Transporting quests to and from the airport and sightseeing trips.

Answers

Answer: 4. Transporting quests to and from the airport and sightseeing trips.

Step-by-step explanation:

Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.

Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.

A ping pong ball has a diameter of 4cm. How many ping pong balls will fit in a room that is 9.5 meters long, 7.5 meters wide, and 3 meters high?(Hint: 1 meter = 100 centimeters)

Answers

Answer:

6042915 balls.

Step-by-step explanation:

Volume of a ping pong ball is;

V = (4/3)πr³

diameter of ping pong ball is given 4cm = 0.04 m

Radius; r = 0.04/2 = 0.02 m

V = (4/3)π(0.02³)

V = 0.00003351032 m³

Room is 9.5 meters long, 7.5 meters wide, and 3 meters high.

Volume; V = 9 × 7.5 × 3 = 202.5 m³

Number of ping pong balls that will fit into the room = volume of room/volume of ping pong balls = 202.5/0.00003351032 = 6042914.540956151

Approximately 6042915 balls.

What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125

Answers

Answer:

-125

Step-by-step explanation:

The answer is B . -125

The sum of 4 thirteens and 16 thirteens, need answer ASAP :(

Answers

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

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In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?

Answers

Answer:

42 ft

Step-by-step explanation:

4.2/1=4.2

4.2*10=42 ft

PLS GIVE BRAINLIEST

Answer:

42

Step-by-step explanation:

1 cm=10ft on the diagram

so the only thing we have to do is multiply.

4.2x10=42 make sure your answer is in FT not CM

so for example

42ft. Units are important XD

The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams

ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!

Answers

Answer:

ummm did you need help or....

Step-by-step explanation:

cause you got the answer right....

what is the difference between (4,4) and (1,-3)

Answers

Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!

Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade

Answers

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

HELP

A house on the market was valued at $357,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What
is the current value of the house

Decrease :
Current value :

Answers

Answer:

$324,870.00

Step-by-step explanation:

357,000.00 x .09 = $32,130.00

357,000.00  - $$32,130.00 = $324,870.00

5.) According to the Bureau of Labor Statistics, in 2012, 33% of

all American computer systems analysts were women. 145,000

women were doing this job. How many men were doing the same

job?

a. 47,850

b. 439,394

c. 294,394

d. 584,394


PSA this is due the 12th so please help me

Answers

The answer is C. 294,394

Maria, Bill, and Eric have a total of $95 in their wallets. Maria has 10 less than Bill. Eric has 3 times what Bill has. How much does each have?
Plz help.

Answers

Answer:

[tex] \boxed{Maria \: got \: \$11} \\ \boxed{Bill \: has \: \$21} \\ \boxed{ Eric \: has \: \$63}[/tex]

Step-by-step explanation:

[tex]let \: maria \: be \to \: m \\ let \: eric \: be \to \: e \\let \: bill \: be \to \: b \\then : m =b - 10 \: and \: e = 3b \\ but : m + b + e = 95 \\ hence \to \: (b - 10) + b + (3b) = 95 \\ 2b - 10 + 3b = 95 \\ 5b = 95 + 10 \\ 5b = 105 \\ \boxed{b = 21} \\ m = b - 10 = 21 - 10 \\ \boxed{ m = 11} \\ e = 3b = 3(21) \\ \boxed{e= 63}[/tex]

♨Rage♨

Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer

Answers

Answer:

The area of given figure is: 179.3

Step-by-step explanation:

The figure consists of a rectangle and a semi-circle

The length of rectangle is 14 and width is 10.

The width of rectangle is also the diameter of the semi-circle.

So,

d = 10

[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]

Area of Semi-Circle:

[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]

Area of Rectangle:

[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]

The total area will be the sum of area of rectangle and the area of semi-circle

So,

[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]

Rounding off to nearest tenth

The total area is: 179.3

What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?

Answers

Answer:

Step-by-step explanation:

N sei

PLEASE HELP ME I NEED THIS DONE SOON AND I DKNT UNDERSTAND IT

Answers

Answer:

Step-by-step explanation:

1/2 + b + h

Okay so we know that b is 6 and that h is 10 so we can change the question to this : 1/2 + 6 + 10. We know that 1/2 is also writen as 0.5 , now all you need to do is 0.5 + 6 + 10 = 16.5 . The question asks to round to the nearest 10th so you need to add a 0 after the 5 so you can round up or down.

16.50

Now you need to look at the 10th number which is 5 and to round it up you need to look at the number after that which would be 0, we know that anything that is 4 or below gets rounded down so your answer for this question is simply 16.5.

I hope that helped you and good luck!

1.Given the rotation of triangle ABC shown below, determine the counter-clockwise angle of rotation that occurred about point D. Show all relevant lines and measurements you made to determine your answer.
A) 180°
B) 90°
C) 130°
D) 50°

Answers

Answer:

D. 50º

Step-by-step explanation:

According to the image below attached, blue lines represents line segments [tex]DB[/tex] and [tex]DB'[/tex], the red line creates a right angle regarding [tex]DB[/tex] (90º), where green line creates a flat angle with the same respect (180º). The angle between [tex]DB[/tex] and [tex]DB'[/tex] is less than 90º and 180º, meaning an acute angle. Therefore, the right answer is D.

Solve for the value of c.​

Answers

Answer:

c = 11

Step-by-step explanation:

2c+8+6c-6 = 90 ( the angle measure of the two angles)

8c+2 = 90

8c = 88

c = 11

Other Questions
Paunch Burger has a beta of 1.2 and just paid a dividend of $2.30 that is expected to grow at 3.2%. If the risk-free rate is 3% and the market risk premium is 6%, what should be the price of the stock Roger Bannister: The Barrier BreakerIntroduction How do you overcome obstacles that seem impossible? Sir Roger Bannister, the first man to break the four-minute-mile record, knew what it was like to break barriers.Learning a Passion Roger Bannister was born in Harrow, England, in 1929. Since his parents couldn't afford to send him to college, he worked to win scholarships to study medicine at Oxford. Bannister had two loves: studying medicine and running track. He worked hard to do well at both. Because of his studies, Bannister had less time for track practice than other athletes. Most athletes trained at least six days a week. Bannister trained only two to three times a week. In the 1952 Olympic Games, Bannister ran the 1500m race but finished fourth. Many said this was due to his lack of training. Bannister decided it was time to get serious. He focused on doing what everyone in the world thought was impossible. He wanted to break the four-minute-mile barrier.Setting a Goal No one in history had ever run a mile in less than four minutes, although several had tried. For decades, physicians believed that running a mile too fast would cause heart failure. Bannister knew he could set a new world record by working hard. Bannister believed that pushing himself beyond the pain would make him a winner. That is just what Bannister did on May 6, 1954, at Iffley Road Track in Oxford. On a cold, wet track, Roger Bannister broke the four-minute-mile barrier with a time of 3:59.4. Two other runners helped him set a fast pace. Then Bannister relied on his training to run the first three laps of the track in 3:01. During the final lap of the race against the clock, Bannister knew he could finish the race in less than 59 seconds. He broke away from the other runners and flew down the last two curves of the track at record speed. As he crossed the finish line, he collapsed into the arms of his friend Reverend Nicholas Stacey. Bannister was out of breath and out of energy, but he knew he had broken the world record. Bannister accomplished a great moment in history that day. After breaking the four-minute-mile barrier, Bannister competed in a few more races. He ran his personal record of 3:43.8 in the 1500m in the European Championship. That was Bannister's last race. In August of 1954, he retired at the age of 25 to focus on what he considered his true contribution to societyhis research in the field of neurology, the study of the nerves and the nervous system.Making a Difference In 1975, two decades after his feat, Roger Bannister was knighted by the Sports Council of England. He had done what no man thought was possible. However, Bannister knew his athletic glory was fleeting. He felt that his work as a neurologist was the real accomplishment of his life. For over 40 years, he worked in neurology, helping patients who suffered serious neurological disorders. To honor his work and dedication as a neurologist, St. Mary's Hospital in London named a lecture hall after Dr. Bannister. In the lecture hall, the famous stopwatch used to time Bannister's mile is on display. In July of 2012, Bannister was honored to be elected as one of the Olympic torchbearers. He carried the flame into the Oxford track stadium that was named for him. Of his neurology career and his track achievements, as the greatest runner ever, Bannister claims that working hard is the secret to his success.10What can be inferred by referring to the timeline? A. Bannister was more well known as a neurologist than as a track and field star. B. Bannister did not value his time as a runner and never participated in sports again. C. 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What fraction of the students at Cass High School play football? * write a dairy including important activities you did En Costa Rica se evanden muchos millones de colones en impuestos por el contrabando de diversos productos que provienen del extranjero. Si usted detecta que en su hogar se compr un artculo contrabandeado (por no tener ningn tipo de factura timbrada ni nmero de Registro Sanitario del Ministerio de salud), y en su etiqueta indica la presencia de CFC-11, explique con tres diferentes razonamientos las acciones que usted, el comercio y nuestro pas deberan de tomar ante esto this is a quiz and i need help so ill put 10 questions for 10 points there pretty easy but who ever can answer more will be the brainiest answers so here are some answer as many as you can1.What first replaced canal transportation for an easier route to the west?The steamboatThe railroadThe wagon trainThe turnpike 2.Who originated the building of canals?The governmentThe wealthy businessmenThe industrialistsThe people3.What shifted population from rural agrarian to urban industrial?The invention of the cotton ginThe first textile millThe introduction of new power sourcesThe increased use of slavery4.Why were keelboats and flatboats important to the early settlers?The boats were cheap types of new homes.Most settlers used them when traveling to the West.The boats were safer than steamboats.5.What geographic feature did the Portage Railroad conquer?The narrow waterwaysThe low lying areasThe rugged terrainThe rapids and waterfalls6.Which of the following was NOT a use for the railroad horse?It was used to pull early crude train cars.It was used for emergency power.It was used as a substitute for train travel.It was used for carrying passengers across areas not connected by rail.7.Which is the most accurate description of the first railroad?It was completed before the Erie Canal.It carried only freight and animals.It connected Maryland to the west.It was drawn by horses for a portion of the journey.8.What highway enabled thousands of settlers to make the journey to the Northwest Territory?National TurnpikeCumberland RoadWilderness Road9.Which of these descriptions does NOT apply to the National Road?It allowed thousands of settlers to make the journey to the Northwest Territory.It took over forty years to complete the construction.It opened trading opportunities for businesses.It connected the north to the south in a direct trip.10.Select the five ways in which the cotton gin affected the South.Slaves became more important and valuable.Land under production declined.Prosperity reached most of the Southern population.Southern attitudes about slavery hardened.Cotton became the principal southern crop.The South developed a cultural caste system.Cotton became a major U.S. export.whos gonna take on my challenge rember to give best answer. who ever has most correct will get 10 points.