√-361 what is the answer

Answers

Answer 1

Answer:

19i

Step-by-step explanation:

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

[tex]\sqrt{-361}[/tex]

= [tex]\sqrt{361(-1)}[/tex]

= [tex]\sqrt{361}[/tex] × [tex]\sqrt{-1}[/tex]

= 19 × i

= 19i


Related Questions

If you had 36 cookies and gave 1/2 to one friend and 1/4 to another, how many could you have left?

Answers

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} [/tex]

[tex] \frac{3}{4} 36 = 27[/tex]

Make the following conversion.
60 dkm =
km

Answers

Answer:

60 dkm = 6km

Step-by-step explanation:

10 dkm = 1 km

60 dkm = 60/10 km = 6 km

Solve. Be sure to eliminate any extraneous solutions. X= square -2x+48

Answers

Answer: X = 6

Step-by-step explanation:

Substitute the x’s in the equation for the answer options that are provided.

Solutions of quadratic equation x = √(-2x + 48) are x = -8 and x = 6.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given, quadratic equation;

x = √(-2x + 48)

Squaring on both sides,

x² = -2x + 48

x² + 2x - 48 = 0

Now, we have to solve for x.

Simplifying,

x² + 8x - 6x - 48 = 0

(x + 8)(x -6) = 0

(x + 8) = 0 and (x -6) = 0

x = -8 and x = 6

After eliminating the extraneous solutions;

we have,

x = -8 and x = 6.

Therefore, the solutions are x = -8 and x = 6.

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Find the lateral area of the prism. 8cm 6cm, I 1 13cm I 10cm Lateral Area = [?]cm² 2008-2012 International Academy of Science, All Rights Reserved. Aid Enter​

Answers

The lateral area of the prism is 270cm²

What is the lateral area of a prism?

The lateral area of a prism is defined as the sum of the areas of its lateral faces.

How to determine the lateral area of a prism

Using the formula;

Lateral area = (a+ b+ c) h

Where a, b, c, are all the lateral faces and h is the height

Lateral area = (8 + 6 + 13) × 10 = 27 × 10 = 270cm²

Therefore, the lateral area of the prism is 270cm²

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Choose two number sentences below that equal 39:
A) 71 - 32
B) 49 - 20
C) 85 - 46
D) 50 - 29

Answers

A, because 71-32 is equal to 39
C, because 85-46 is also equal to 39

WILL MARK BRAINLIEDT If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of the central angle associated with the arc? Use 3.14 for π. Give your answer in degrees and radians (approximate to two decimals and exact).

Answers

The angle that defines the arc is 1.57 radians or 90°.

How to get the angle of the arc?

For a circle of radius R, the length of an arc defined by an angle θ in radians is given by:

L = θ*R.

Here we know that the radius is R = 7cm, and the length of the arc is  10.99 cm. Replacing these in the above equation:

10.99 cm = θ*7cm

θ = (10.99 cm/7 cm) = 1.57

Then the angle is 1.57 radians. Remember that:

3.14 radians = 180°

Then:

θ = (1.57/3.14)*180° = 90°

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[tex]\\ \rm\Rrightarrow \ell=\dfrac{\Theta}{180}\pi r[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180\ell}{r\pi}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180(10.99}{7(3.14)}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{1978.2}{7\pi}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=90^{\circ}[/tex]

What is Logically equivalent? Yeah

Answers

answer:

c

step by step explanation:

I did it on edge.

help asap please
Which of the points shown below are on the line given by the equation y = x + 4? Check all that apply
A) -1, 3
B) 2, 6
C) -2, -2
D) 2, 4

Answers

The points on the line are points B and D

How to determine the points on the line?

The equation is given as:

y = x + 4

The above means that the output value is 4 more than the input value

Using the above rule, the points that satisfy the equation are:

B) 2, 6 and D) 2, 4

This is so because:

6 = 2 + 4

4 = 2 + 2

Hence, the points on the line are points B and D

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Find the distance between the two points

Answers

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }[/tex]

A pair of trainers cost £60.
In a sale they are reduced by 40%. What is the new price?

Answers

Answer:

36

Step-by-step explanation:

40 % of 60 = 24

60-24=36

The sides of a triangle measure 10 feet, 13 feet, and 17 feet.

How would you explain to a friend that the triangle is not a right triangle?

Answers

A right triangles hypotenuse is the square root of both of the other side squared. The formula for this is a^2 + b^2= c^2, with c being the longest side. So 10 squared is 100, 13 squared is 169, but. 17 squared is 289. The sum of the other two sides are 269. So it doesn’t equal

Step-by-step explanation:

if the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle

bbc

10 squared = 100

13 squared = 169

17 squared = 289

100 + 169 = 269 NOT 289 so

there is no right angle and so its not a right triangle

Simon is riding a bike at 12 km/h away from his friend Keesha. He throws a ball at 5 km/h back to Keesha, who is standing still on a sidewalk.

How fast would Keesha say the ball is traveling?

5 km/h
7 km/h
12 km/h
17 km/h

Answers

Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

What is relative velocity?

Relative velocity is defined as the velocity of an object with respect to another observer.

From the question, we are to determine how fast Keesha would say the ball is traveling. That is, the relative velocity

Relative velocity of the ball = 12 km/h - 5 km/h

Relative velocity of the ball = 7 km/h

Hence, Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

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Answer:

7 km/h

Step-by-step explanation:

which expression is equivalent to sin(2x) cosx

Answers

Answer:

[tex]2sin(x)cos^2(x)[/tex]

Step-by-step explanation:

To solve the problem, you must expand the trigonometric expression using the information given.

[tex]sin(2x)cosx\\sin(2x)\\=2sin(x)\\=2sin(x)cos^2(x)[/tex]

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of
100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions
are on the test?
04
0 8
0 12
O 16

Answers

The answer to this problem is 8

if the volume of a cube is 27cm³ what are the dimensions of the cube​

Answers

Answer:

3 cm

Step-by-step explanation:

if the volume of a cube is 27cm³ what are the dimensions of the cube​

Cube Volume = l³

we use the inverse formula

∛V = l

so

∛27 =

3 cm


Suppose a high school student is selected at random.Let event A = junior and event B = earbuds. Are events A and B independent

Answers

Answer:

yes

Step-by-step explanation:

independence means the object or so are completely unreliant of eachother or does not have order.

for example a dependent situation would be sports players getting picked because there is order.

The graph below represents which system of inequalities?
A) y > 2x − 3
y > −x − 3

b) y < 2x − 2
y < −x + 3

C) y ≤ 2x − 2
y > −x + 3

D) None of the above

Answers

The system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b

For the broken line, the coordinate points will be(0, 3) and (3, 0)

m = -3/3

m = -1

The equation of the line will be y >  -x + 3

For the solid line, the coordinate points will be(0, -2) and (1, 0)

m = 2/1

m = 2

The equation of the line will be y ≤  2x - 2

Hence the system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

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Identify the first five terms of the sequence in which an = 3n − 1 + 1.

Answers

The first five terms of the sequence represented as an = 3(n -1) + 1 are 1,4, 7, 10 and 13

How to determine the first five terms?

The formula of the sequence is given as:

an = 3(n -1) + 1

The above sequence is an arithmetic sequence, and the first five terms are the values of the sequence when the value of n is from 1 to 5

i.e. n = 1, 2, 3, 4 and 5

Next, we set n = 1, 2, 3, 4 and 5, and substitute these values for n in an = 3(n -1) + 1

So, we have the following equations

First term

a1 = 3(1 -1) + 1 = 1

Second term

a2 = 3(2 -1) + 1 = 4

Third term

a3 = 3(3 -1) + 1 = 7

Fourth term

a4 = 3(4 -1) + 1 = 10

Fifth term

a5 = 3(5 -1) + 1 = 13

Hence, the first five terms of the sequence represented as an = 3(n -1) + 1 are 1,4, 7, 10 and 13

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The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
H
++
2 3 4 5 6 7 8 9 10 11
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median

Answers

the answer would be 240 because wind speed is close to its median

please help me.............​

Answers

I apologize for the handwriting it's not the best :)

Find and solve a system of linear equations to answer the question below.
Joanne buys one kilogram of French Roast and one kilogram of Boxer Blend
from the Java Hut. Jacob buys two kilograms of French Roast and three
kilograms of Boxer Blend. If Joanne spends $14 for her purchase, and Jacob
spends $36 for his, what is the price of one kilogram of Boxer Blend coffee? Please help!!

Answers

Answer:

$8

Step-by-step explanation:

Let f = 1 kg of French Roast coffee

Let b = 1 kg of Boxer Blend coffee

Given:

Joanne buys 1 kg of French Roast and 1 kg of Boxer Blend. Joanne spends $14 for her purchase.

⇒ f + b = 14

Given:

Jacob buys 2 kg of French Roast and 3 kg of Boxer Blend. Jacob spends $36 for his purchase.

⇒ 2f + 3b = 36

Rewrite the first equation to make f the subject:

⇒ f + b = 14

⇒ f = 14 - b

Substitute this into the second equation and solve for b:

⇒ 2f + 3b = 36

⇒ 2(14 - b) + 3b = 36

⇒ 28 - 2b + 3b = 36

⇒ 28 + b = 36

⇒ 28 + b - 28 = 36 - 28

⇒ b = 8

Therefore, the price of 1 kg of Boxer Blend coffee is $8

The total area of town C and town D is 120,000 square miles. The area of town C is 30,000 square miles more than that of town D. Find the area land of each town.

Answers

Answer:

Find the area land of each town.

Let x be the area of town D

then, x+ 30000 is the area of town C

we know that,

the total area of town C and town D is 120,000 square miles.

x+x+30000=120000

2x= 90000

x=45000

Area of town D= 45000 square miles

Area of town C= 45000+30000= 75000 square miles.

Chandler wants to buy a bike
that costs $345. He has a job that
pays an hourly wage of $6. He
needs to pay back $35 that he
borrowed from his mom. How
many hours does Chandler need to
work to have enough money to
purchase the bike?

Answers

Chandler will need to work 6 hours to pay off the debt owed to his mom. After those 6 hours of work, and the debt paid off, Chandler will have $1 left over.
We can divide 345 by 6 to see the remaining hours.
345/6 = 57.5.

Chandler would need to work for 57.5 hours after paying off the debt owed to be able to afford the bike, working for a grand total of 63.5 hours.

Not sure if they would pay for a half an hour of work, so Chandler may need to work 64 hours, unless it’s stated they’d pay for a partial hour of work.

Hope this helps!

Suppose you have $600 to invest in a savings plan,Find the balance after one year if you deposit all the money into an account that pays 5% APR with monthly compounding.

Answers

Answer:

P(1+[tex]\frac{r}{100}[/tex])ⁿ

600(1+[tex]\frac{5}{100}[/tex])¹

600(1+0.05)¹

600(1.05)

630

Note:

P= participle

R= rate

N= years

simplify:
x² - 25
x²-3x -15

Answers

Answer:

x² - 25=(x-5)(X+5)

x²-3x -15=5.6 or. -2.6

A rain drop hitting a lake makes a circular ripple.. if the radius, in inches,, grows as a function of time in minutes according to R(t)=20sqrt(t+2), find the area of the ripple as a function of time. What is the area of the circular ripple at t=2?

Answers

Answer:

Step-by-step explanation:

Area A(t) = πR² = π x 400 (t + 2) = 400π (t + 2)

A(2) = 400π (2 + 2) = 1600π = 5026.5 in²

Triangle DEF is shown on the xy-coordinate plane. The triangle will be rotated 180° clockwise around point (4, 8) to create AD'E'F'. Which
characteristic of AD'E'F' will NOT be the same for the corresponding characteristic of ADEF?
O the coordinates of D'
O the coordinates of F
O the area of AD'E'F'
O the perimeter of AD'E'F'

Answers

Answer: the coordinates of D'

Step-by-step explanation:

Reflections are rigid motions, so area and perimeter are preserved.

However, the preimage of a point is only the same as the image of that same point if that point is the center of rotation. Since point D is not the center of rotation, the coordinates of D' will not be the same as those of D.


If there are 26 successful outcomes in a sample with a size of 50, what is the
sample proportion?

Answers

Answer:

the sample proportion is 26:50then if it simplyfy answer is13:25

What is the y-intercept for this function?

a
(0, −3)

b
(3, 0)

c
(−9, 0)

d
(0, −9)

Answers

Answer:

d

Step-by-step explanation:

the y- intercept is the point on the y- axis where the graph crosses

the graph crosses the y- axis at point (0, - 9 )

then y- intercept = (0, - 9 )

|2/13t-11|-10=-16
solve for t

Answers

[tex]\left|\dfrac{2}{13}t-11\right|-10=-16\\\\\left|\dfrac{2}{13}t-11\right|=-6\\\\x\in\emptyset[/tex]

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