express the radical using the imaginary unit i

Express The Radical Using The Imaginary Unit I

Answers

Answer 1

Answer:

[tex]i[/tex][tex]\sqrt{30}[/tex]

Step-by-step explanation:

[tex]\sqrt{-30}[/tex]

= [tex]\sqrt{30 * -1}[/tex]      

= [tex]\sqrt{30} * \sqrt{-1}[/tex]   Separate the two numbers into 2 radicals.

= [tex]i\sqrt{30}[/tex]             Simplify, knowing that [tex]i = \sqrt{-1}[/tex].


Related Questions

Which graph represents the function f (x) = 8 Superscript one-third x?

Answers

Answer:

2nd graph

Step-by-step explanation:

Plz mark brainliest

Answer:

Its the second option

Step-by-step explanation:

i just did it

Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40

Answers

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.

Answers

Answer:

3.3%

Step-by-step explanation:

77500-75000=2500

2500/75000 x100=3.3%

Melanie has 10 packets of 20 biscuits. She puts 3/10 of them on a plate to serve. How many biscuits are being served?

Answers

From the problem statement Melanie has 10 packets of 20 biscuits

60 biscuits

Solution

Let us find 3/10 of 10 packets

= 3 packets

In one packet there are 20 biscuits,

Hence in 3 packets there will be

20*3 = 60 biscuits

From the solution above Melanie served 60 biscuits in the plate

Learn more about fraction here:

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I am so confused on what to do with fractions.

Answers

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

what is 12x⁸/3x² in simplest form, where x>0?

Answers

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Asha has $100 on a movie theater
gift card. Each time she buys a ticket
to a movie it costs her $8.75. Write
an equation that Asha can use to find
×, the number of tickets she can buy
if she wants to keep a $15 balance on
the gift card.

Answers

Well 100-15=85, 85/8.75=9.7142857 or if need round it
100-15=85 then divide 85 by 8.75 and yo get your answer

A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?

Answers

Answer:

3

Step-by-step explanation:

Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list

Write a word problem that can be represented by the expression 4 3/8 divided by 8

Answers

Answer:

Word Problem: The length of a shoelace is 4 and 3/8    meters. How many shoelaces can be made from an 8-meter lace?

Step-by-step explanation:

Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 26


. If the string from the kite to his hand is 145 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

The height of the kite above the is approximately 66.314 feet.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, l = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]

Therefore;

[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]

The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet

Learn more about trigonometric ratios here:

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Solve the equation 3x + 2 = x + 4(x +2)

Answers

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

3x + 2 = x + 4(x + 2)

Step 2: Solve for x

[Subtraction Property of Equality] Subtract x on both sides:                        2x + 2 = 4(x + 2)[Distributive Property] Distribute 4:                                                               2x + 2 = 4x + 8[Subtraction Property of Equality] Subtract 4x on both sides:                      -2x + 2 = 8[Subtraction Property of Equality] Subtract 2 on both sides:                        -2x = 6[Division Property of Equality] Divide -2 on both sides:                                x = -3

Answer:

x=-3

Step-by-step explanation:

3x+2=x+4(x+2)

3x+2=x+4x+8

3x=5x+6

3x-6=5x

-6=2x

x=-3

9.608 x 4.09 I need help plzz I will get a f on thing help pls asap

Answers

Answer:

39.29672   hehe

someone solve all of this will give brainliest to first person that does (only answer circled numbers)

Answers

1. 2, 45. 3, 30. 5, 18. 6, 15
2. Got em all nice work!
3. 2, 26. 4, 13
4. It is prime nice.
5. 15
6. 4
7. Has no factors
8. 14
13. 24
14. 42
15. 12
16. 36

Graph the linear equation.

3x−4y=12
school: k 12

Answers

Answer: slope : 3/4 points: (0,-3) (4,0)

Step-by-step explanation:

i looked it up

Answer:

look at graph

Step-by-step explanation:

The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?

Table:
x: 0, 6, 12
y: 20, 29, 38

Answers

Answer:

29/6 = 4.83.. or 4.8

. Mahesh worked in a firm for a certain number of years which equals
the sum of degrees of + − +
and

+

+ . Find the number of years he worked.

Answers

The sum of numbers or expression involves adding the expressions and the numbers together.

Assume that the sum of the degrees is given as:

[tex]Sum = 3 + 4 - 2 + 1[/tex]

The above sum can be rewritten as:

[tex]Sum = 3 + 4 +(- 2) + 1[/tex]

Take the sum of all the numbers (including -2 in bracket)

[tex]Sum = 6[/tex]

If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6

Read more about sum at:

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CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

550 miles. Explanation First, we know that each 1,4 (quarter) of an inch
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
23/4. so the 2 has 8 quarters, and then we have
3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
is equal to 50 miles, we multiply 50 by 11.

Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st

Answers

The reason why the given graph relation is considered to be a function is because;

A. Yes, because every x-value corresponds with a single y-value.

From the given graph, we see the (x, y) coordinates as;

(5, 4)

(7, 2)

(6, 9)

(3, 10)

Now, we see that none of the x-values are the same and likewise none of the y-values are the same.

This means that each of the x-values have a unique y-value.

Thus, it can be said to be a function

Read more about properties of functions at;https://brainly.com/question/18427017

What temperature does the thermometer show?

Answers

Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

Spiderman charges $25 for a service call plus $50 per hour of service. If Spiderman
works for 10 hours what will be the total cost of his service?

Answers

Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form

Answers

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25

In the equation, 6x - 2y = 11, what is the slope?

Answers

The slop of tge equation is 3

help stranger's I'll give u ​

Answers

Answer:

esto es salsa honestamente hermano como um, es realmente extraño por la forma en que mi nombre es Banana a la tasa de dólares estadounidenses dólares estadounidenses

Queerereeeeeeeeeeeereeeeee

All I need is the answer Please and thank you

Answers

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

What is the slope of the line?

Answers

The slope of the line is 4/5


Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS

Answers

Answer:

B) SAS

Step-by-step explanation:

Answer: SAS

Explanation:

SAS = side angle side

The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".

The marked angles are congruent, and they refer to the "A" in "SAS".

Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".

Notice how the angles are between the sides mentioned. The order is important.

If 333 + 555 = 999 And 123 + 456 = 488 And 505 + 213 = 809 Then 344 + 732 = ???

Answers

The answer is: 344 + 732 = 1076

Answer:

1076

Step-by-step explanation:

I just need points lol


x varies directly with y. If x is 108 when y is 180, find x when y is 150.

Answers

Answer:

X=90

Step-by-step explanation:

k=3/5

X=3/5×150

X=90

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis

Answers

Step-by-step explanation:

the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.

if an angle is smaller than 90°, then it is is own reference angle.

7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).

therefore, if is easy to see that this pi/4 is the reference angle (45°).

tan(7pi/4) = -1, while tan(pi/4) = 1.

for every 45° angel in every quadrant the absolute values of sine and cosine are equal.

but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.

and since tan = sine/cosine, this gives us the results above.

ANSWER FAST 20 POINTS

Answers

Answer: A

Step-by-step explanation:

The answer is A because, if you look at the line on the graph it’s a dotted line.

This means it’s either a < or >. Next you can see the y-intercept is -1, which actually doesn’t help you because all the answers hace the same y-intercept but still good to know. Finally if you use rise or run you can find the slope to be -2x.

I believe it’s A.

Just did the math and the person who answered first is I believe is correct.
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