what is [tex]\frac{-8 + \sqrt{-20} }{24}[/tex]?

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Factoring

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{-8 + \sqrt{-20}}{24}[/tex]

Step 2: Simplify

[Fraction] [√Radical] Factor:                                                                           [tex]\displaystyle \frac{-8 + \sqrt{-1}\sqrt{20}}{24}[/tex][Fraction] [√Radical] Evaluate:                                                                       [tex]\displaystyle \frac{-8 + i\sqrt{20}}{24}[/tex][Fraction] [√Radical] Simplify:                                                                        [tex]\displaystyle \frac{-8 + 2i\sqrt{5}}{24}[/tex][Fraction] Factor numerator:                                                                          [tex]\displaystyle \frac{2(-4 + i\sqrt{5})}{24}[/tex][Fraction] Simplify:                                                                                          [tex]\displaystyle \frac{-4 + i\sqrt{5}}{12}[/tex]

Related Questions

Please help thank you

Answers

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Of the flowers in Bella’s garden, 5/8 are tulips. What percent of the flowers in the garden are tulips?

Answers

62.5%
I hope this helps!!

Answer:

62.5

Step-by-step explanation:

Tom saves 50% of his paycheck. If his
pay is $148, how much will he save?

Answers

Answer:

triangllllllllllllllllllllllllllllllllllllleeeee

Step-by-step explanation:

Answer:

$74

Step-by-step explanation:

50% means he saves half of his paycheck

148 ÷ 2 = 74

Thus, he saves $74 from his paycheck

Does any one know the answer

Answers

Answer:

Step-by-step explanation:

Solve for x=0 and x=1

y(0)=2(3^0)=2(1)=2 so (0,2) is a point.

y(1)=2(3^1)=2(3)=6 so (1,6) is a point.

Only graph B has those two points.

17
Select the correct answer from the drop-down menu.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as
x+2x+6 < 50, where x represents the smaller number.
From the set {13, 14, 15, 16, 17), the values of x for which the inequality holds true are
Reset
Next

Answers

Answer:

13 and 14

Step-by-step explanation:

From the inequality

x + 2 x + 6 < 50

we work out the answer for x isolating it on one side of the inequality as shown below

3 x + 6 < 50

3 x < 50 - 6

3 x < 44

x < 44/3  ≅ 14.6666...

Therefore, select from the set the numbers:  13 and 14.


Christine has her own dog-walking business. She charges her customers $20 per day to walk their dog.


Make a table to show how much she earns for walking 1 to 8 dogs.


Please help me !

Answers

Answer:

Number of dogs (x) | Amount charged to walk a dog (y)

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

Step-by-step explanation:

Charge for walking a dog = $20 per dog

Number of dogs = x

Amount charged to walk a dog in a day = y

Unit rate = 20

Equation to represent this is: y = 20x

Let's use this to form a table for walking 1 to 8 dogs:

For 1 dog (x):

y = 20(1) = $20

For 2 dogs (x):

y = 20(2) = $40

For 3 dogs(x):

y = 20(3) = $60

For 4 dogs:

y = 20(4) = $80

And so on till we get to tl8 dogs.

This, we should have the following table:

Number of dogs (x) | Amount charged to walk a dog (y)

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

i will give brainliest and also 10$

Answers

I think it’s 45

add 90 because the right angle and 45 which then equals 135
180-135
45
i may be wrong but i think so

33.85 or 32.75 sorry if I am wrong

Step-by-step explanation:

for this one you have you multiply 17 by itself like this 17x17=289 but you also have to do it with the 28 to like this 28x28=784, now what you do it add up the 289+784=1,073 then you square root 1,073 which gives you 32.75 round it to the nearest tenth of needed so your will be between 33.85 or 32.75

Solve pls (correctly) brainliest if correct! I, lots of points!

Answers

Answer:

5

Step-by-step explanation:

First, find the equation of the line:

put it in the form y = mx + b where m is the slope and b is the y-intercept

You already have m = 2, so y = 2x + b.

Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.

3 = 2 * 1 + b

3 = 2 + b

1 = b

This means the equation of the line is y = 2x + 1.

Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:

y = 2 * 2 + 1

y = 4 + 1

y = 5

5 is the answer

Cos pie divided by 12 in surd form

Answers

Answer:

¼(√6 + √2)

Step-by-step explanation:

We want to find cos (π/12) in surd form.

Now, cos (π/12) can be expressed as;

cos [(π/4) - (π/6)]

Now, from trig derivations we know that;

Cos (A - B) = CosACosB + sinAsinB

Thus;

cos [(π/4) - (π/6)] = cos(π/4)Cos(π/6) + sin(π/4)sin(π/6)

Now, in surd form;

cos(π/4) = sin(π/4) = (√2)/2

Cos(π/6) = (√3)/2

sin(π/6) = 1/2

Thus, Plugging in relevant values to get;

cos(π/4)Cos(π/6) + sin(π/4)sin(π/6) = ((√2)/2 × (√3)/2) + ((√2)/2 × 1/2)

This gives;

((√6)/4) + ((√2)/4) = ¼(√6 + √2)

In a football marathon , a team lost 4 games and won 7.what is the ratio of win to loses?

Answers

7:4 should be the anser
7:4 i’m just typing this so it will let me answer :)

What's two numbers that total 26 and have a difference of 6

Answers

Answer:

3?

Step-by-step explanation:

The two numbers are 10 and 16

Please help fast!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x² + 2x - 6

Step-by-step explanation:

= f(x) + g(x)

= (2x + 1) + (x² - 7)

= 2x + 1 + x² - 7  

= 2x - 6 + x²  

= x² + 2x - 6

good luck, i hope this helps :)

Jasper decorates flower pots to sell in his shop.
HE knows that it takes 12 minutes to decorate a flower pot.

Jasper works from 9:30am until 12:50pm on Tuesday.
HE takes 20 minutes for a coffee break at 10:30am

How many flower pots does Jasper decorate on Tuesday?

Answers

Answer:

He works from 9:30am to 12:50pm.

He takes a brake at 10:30 for 20 mins.

Now the time he works will be

(12:50 - 9:30) - 20

3:20 - 20

3:00

NOTE: TILL HERE DONT THINK THE SIGN ':' IS USED FOR RATIO, ITS USED AS IN TIME. AND THIS MEANS THE NUMBER BEFORE ':' IS HOURS AND THE NUMBER AFTER THE ':' WILL BE MINUTES.

i.e., 3 hours.No. of pots decorated in 3 hours will be,

3 hours in minutes÷time taken to decorate one pot.

⇒ (3×60)÷12

⇒ 180÷12

⇒15

Thus he decorates 15 pots in the given time.

Jasper decorates [tex]15[/tex] pots on Tuesday.

There are [tex]60[/tex] minutes in [tex]1[/tex] hour . To convert from minutes to hours, divide the number of minutes by [tex]60[/tex].

How many flower pots does Jasper decorate on Tuesday?

He works from [tex]9:30[/tex] am to [tex]12:50[/tex] pm.

He takes a break  [tex]10:30[/tex] for [tex]20[/tex] mins.

Now the time he works will be

[tex]3:20 - 20\\3:00[/tex]

i.e., 3 hours. No. of pots decorated in 3 hours will be,

3 hours in minutes ÷time taken to decorate one pot.

⇒ (3×60)÷12

⇒ 180÷12

⇒15

Thus he decorates [tex]15[/tex] pots in the given time.

Learn more about statement questions on: https://brainly.com/question/21483483

#SPJ2

Please solve if you know no trolls please im desparate
Please if you can answer any question or if all if you can.

8) Tayna made a mistake in her work. Identify the mistake and explain how she could fix the mistake. *

How many degrees are there in the "Department Store" angle? *

How many degrees are there in the "Gas Station" angle? *

Answers

Answer:

Department Store:

7(18.75)+8= 139.25

Gas Station:

18.75+22= 40.75

Step-by-step explanation:

The mistake is 7x+8+x+22 should not equal 90. It should equal 180 degrees because the two angles are supplementary angles. (It forms a straight line)

Correct equation and how to solve for X:

7x+8+x+22=180

8x+30= 180

8x= 150

x=18.75

Department Store:

7(18.75)+8= 139.25

Gas Station:

18.75+22= 40.75

16,8, 4, ...
Find the 10th term.
Round to the nearest thousandth (if necessary)

Answers

the tenth term rounded to the nearest thousandth is 0.031

the terms go: 16,8,4,2,.5,.25,.125,.0625,.03125 and .03125 rounded is .031


[tex]5 \frac{5}{6} - 1 \frac{1}{4} = [/tex]

Answers

The answer is

[tex] \frac{55}{12} [/tex]

and in mix fraction it will be

[tex]4 \frac{7}{12} [/tex]

and in decimal form,

[tex]4.583333[/tex]

[tex]answer \: = 4 \frac{7}{12} [/tex]

Way to do

5⅚ - 1¼ =

35/6 - 5/4 =

140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12

S
849
60°
А
M
Find the measure of ZM.
A)
14°
B)
24°
26°
D)
36

Answers

Answer:

D: 36

Step-by-step explanation:

Since all angles inside a triangle equal to 180 we can do 180-60-84 to get 36.

Ch Area and Volume

Kindly Help Me To Solve These..​

Answers

Answer:

Q.1=V0LUME

Q.2=2744CM

Q.3=4913MM

Q.4=19683M

Q.5=32400CM

Q.6=540CM

Q.7=25

Q.8=584

Q.9=36

Q.10=79199.5

Q.11=1144

Step-by-step explanation:

Q.2=14×14×14=2744CM

Q.3=17×17×17=4913MM

Q.4=27×27×27=19683M

Q.5=18×120×150=324000MM then you divide by 10 to change it into CM =32400CM

Q.6=15×12×3=540CM

Q.7=15×15×15=3375

      5×5×5=125

THEN YOU DIVIDE THEM =3375÷125=25

Q.8=12×14×3.5=584

Q.9=[3×1×4]±[2×2×4]±[1×2×4]=36 THAT IS THE NUMBER OF BOXES IN A

       3×6×4=72THAT IS THE NUMBER OF BOXES IN B

TO GET HOW MANY ARE NEEDE FROM A TO FILL B WE 72-36=36

Q.10 89×71×60.5=79199.5

Q.11=13×8×11=1144

HOW I WILL GET A BRAINLIEST FROM THIS

There were 140 geese living in Larson Lake last year. It is overpopulated. A scientist has suggested a program to decrease the population of geese by 15% after 5 years. How many geese does the scientist hope will be in the lake in 5 years? Show your work.

Answers

Answer:

119

Step-by-step explanation:

Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.

Add them together to get 15%, which is now 21.

Take 21 off of 140 to get the answer, which is 119.

ALTERNATIVE METHOD - CALCULATOR

To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.

hurry i need help plz

Answers

Answer:

B

Step-by-step explanation:

So for the first square we Have ab*a

When you multiply variables then you add up their powers so b^1a^1+a^1= (a^2)(b^1)

Second box is -3 * a which is equal to -3a

third box is 2b * ab = 2ab^2

fourth box is -3 *2b = -6b

Divide. Enter your answer as a fraction in simplest form.

1/5 divided by 11/15


Answers

The answer in simplest form is 3/11.


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

m = 1.49

b = 5.50

equation y = 1.49x + 5.50

Non-proportional

Positive Slope

O bicicleta costa 420 de lei. Pretul ei se reduce cu 15%. Cat va costa bicicleta dupa reducere.

Answers

Answer:

The price of the bicycle after the discount is 357 lei

Step-by-step explanation:

The given question says, "The bicycle costs 420 lei. Its price is reduced by 15%. How much will the bike cost after the discount."

Cost price of the bicycle = 420 lei

Discount = 15%

We need to find the price of the bicycle after the discount. It can be calculated as follows :

[tex]P=420\times \dfrac{15}{100}\\\\=63[/tex]

Price = 420 -63

= 357 lei

Hence, the price of the bicycle after the discount is 357 lei.

The ratio of the measures of the sides of a triangle is 3:5:7, and its perimeter is 135 feet. Find the measure of each side of the triangle.
a. x = 9
b. 13.5 ft, 22.5 ft, 31.5 ft
c. 27 ft, 45 ft, 63 ft
d. 25 ft, 45 ft, 65 ft

Answers

Answer:

The correct answer is C. 27 ft, 45 ft, 63 ft.

Step-by-step explanation:

Given that the ratio of the measures of the sides of a triangle is 3: 5: 7, and its perimeter is 135 feet, in order to find the measure of each side of the triangle, the following calculation must be performed:

3 + 5 + 7 = 15

135/15 = 9

9 x 3 = 27

9 x 5 = 45

9 x 7 = 63

Therefore, the measures of the sides of the triangle are 27 ft, 45 ft, and 63 ft.

PLSSS HELP ASAPPPP I BEG
MARKI BRAINLIST AND GIVING POINTS

Answers

Answer:

b = 34

m = 5

f(t) = 5x+34

Step-by-step explanation:

f(0) = 34, so that is its y intercept.

f(t) contains (0,34) and (8,74), which can be used to find the slope:

[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]

In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is Response area the value of the 9 in the hundredths place.

Answers

Answer:

the 9 in the tenths place is 10 times bigger than the one in the hundredths place

Step-by-step explanation:

The value of the 9 in the tenth place is "10 times" the value of the 9 in the hundredth place.

What is the place value strategy?

Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.

The decimal we are examining is 3.9928.

The 9 in tenth place has a value of 0.9.

The value of 9 in the hundredth place is 0.09

The fraction of the 9 in the tenth place is now the 9 in the hundredth place.

To get this, simply multiply the value of 9 in the hundredth place by the value of 9 in the tenth place.

Mathematically, that would be;

0.09/0.9 = 0.1 = 1/10

This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place

So you can complete the statement by dragging and dropping "10 times" into the response area.

Learn more about the place value strategy here:

brainly.com/question/654419

#SPJ2

in the figure below explain why line p is or isn't parallel to line q​

Answers

Answer:

Step-by-step explanation:

If the lines were parallel the angle measruing 72 and the angle measuring 109 would add up to 180 degrees(corrosponding and theroum ,sum of angles on line)

Sarah purchased 6 tons of sand $42.88 per ton and 7 cubic yards of mulch $28.58 per cubic yard. The state sales tax was 4.5%. What was the cash register receipt total?

Answers

Answer:

$477.92

Step-by-step explanation:

42.88 x 6= 257.28

28.58 x 7= 200.06

257.28+200.06=457.34

457.34 x .045= 20.58

20.58+457.34= 477.92

Sarah and Jack go shopping Jack spends 20 percent of his money and Sarah spend 1/4 of her money how spends more ​

Answers

Answer:

Sarah, if each had the same amount of money to start with

Step-by-step explanation:

1/4=.25 or 25% 25%>20%

Below, enter x If the graph of the given equation is symmetric with respect to the x-axis, y if it is symmetric with respect to the y axis, o (lower
case O) if it is symmetric with respect to the origin, and n (for None) if it has none of these three symmetries.
y=xt
y = x2 +1
y=x²+x
y = (1 + x2)3

Answers

Answer:

Step-by-step explanation:

You can tell by looking at the form of each equation.

y = tx

This is a straight line that passes through the origin, so it symmetric with respect to the origin.

y = x²+1

This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.

y = x²+x = (x+½)² - ¼

This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.

Can't tell what "y = (1 + x2)3" means. Which terms are exponents?

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