Answer:
the square root of -1 is i
Step-by-step explanation:
Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).
To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).
The required value of the square root of -1 is i. The correct answer is option B.
As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.
The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.
The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.
⇒ √(-1)
⇒ √(i²)
⇒ i
So, the correct answer is "i."
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A restaurant manager classifies customers as regular, occasional, or new
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
if your techer tells you to do questions 38 through 51 in your math book for homework how many questions is that
Answer:
thats 13 questions
Step-by-step explanation:
Answer: 13 questions
Step-by-step explanation: 51-38 equals 13
Cheryl has $100 on her subway gift card. Each week she buys the same lunch for $10. She wants to continue using the card until the balance remaining is $40. Write an equation to represent the situation
Answer:
100-60=40
Step-by-step explanation:
Answer:
In 6 weeks she will have $40.
Step-by-step explanation:
$100 - $10 - $10 -$10 - $10 - $10 - $10.
Or $100 - $60.
The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?
Answer: 6
Step-by-step explanation:
To determine the percentage of alcohol in a liquid contains?
Answer:
Formula for Calculating Alcohol in Beer
Step-by-step explanation:
Subtract the Original Gravity from the Final Gravity.
Multiply this number by 131.25.
The resulting number is your alcohol percent, or ABV%
Find the slope of the line
(Please don't answer if you don't know it. It doesn't help at all.)
The slope is -3. Pick any point on the line. For every 1 unit you move to the right, the "next" point on the line is 3 units down.
You can also use the formula for the slope. According to the graph, the line goes through the points, say, (1, -3) and (3, -9). Then the slope is
slope = (-9 - (-3)) / (3 - 1) = (-9 + 3) / (3 - 1) = -6/2 = -3
Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{0+4}{-1-1}[/tex]
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?
Answer:
2 hats
Step-by-step explanation:
4+4+3+3+3=17
Each hat costs $4 and each scarf costs $3.
He bought 5 items. Two of those items were hats.
The rest were scarfs.
The number of hats bought by John are 3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the hat is represented by x
scarves is denoted by y
Hats cost $4 each while scarves cost $3 each
John buys 5 items and spends a total of $17.
We need to find the number of hats.
3x+4y=17..(1)
x+y=5..(2)
x=5-y
Subtract x value in equation 1
3(5-y)+4y=17
Apply distributive property
15-3y+4y=17
15+y=17
Subtract 15 on both sides
y=2
x+2=5
x=3
Hence, the number of hats bought by John are 3
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¿Cuánto es $ 3.57 redondeado al dólar más cercano?
Please help me I’m stuck
Answer: oh no are you stuck
Step-by-step explanation: don't worry step sis ill help you :)
GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?
Answer:
eight point nine seven, 8+0.9+0.07
Step-by-step explanation:
What is the measure of x?
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 we can solve the question using this information
help wil give brainly if right
Answer:
I think it B as well as the other person I just learned this so I'm not the best at it
-5(k + 4) > 2 - (3k + 6)
1.why.do.we.need.election
Don’t understand algebra 1
Answer: Try using Symbolab (i have no idea what the answer is sry)
Your office window is a = 55 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is b = 700 horizontal feet from your office. You know that the statue is c = 225 feet from the building. How tall is the statue? (See the figure below. Round your answer to two decimal places.)
Answer:
nothing
Step-by-step explanation:
nothing will come because there is no figure
2% of what number is 5?
A. 0.1
B. 1
C. 250
Answer:
a
Step-by-step explanation:
5(.02)
Write the equation 4x + 2y - 6 = 0 in the slope-intercept form (y = mx + b).
Answer:
y= -2x+3
Step-by-step explanation:
First, you want to isolate the variable 2y on its own.
It would look like this: 2y= -4x+6
Then, divide every term by two.
It would look like this: y=-2x+3
Hope it helped.
Answer:
y= -2x+3
Step-by-step explanation:
What is the solution to 2x -8 > 12?
Answer:
x>10
Step-by-step explanation:
2x - 8 >12
2x>12 +8
2x >20
x >20 :2
x>10
Don’t understand this question
If 5x + 6 = 10, what is the value of 10x + 3 ?
Answer:
11
Step-by-step explanation:
15 POINTS!
An abandoned lot is to be converted into a community garden. The garden is to consist
of a 7 yard by 20 yard rectangle for planting that is surrounded by a path of uniform
width. The total area of the lot is 198 square yards. What is the width of the path?
SHOW WORK PLS TY
PLEASE HELP These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?
A. 5.00 + 1/6 b = 11.25
B. 5.25 +1/3 b = 11.25
C. 5.25 + 1/5 b = 11.25
D. 6.00 + 1/8 b = 11.25
Answer:
C
Step-by-step explanation:
Just took test n got it right
Answer:
C. 5.25 + 1/5 b = 11.25
Step-by-step explanation:
NUMBER 3 PLEASEEEEEEEE
Answer:
(-1,3), (1,0)
Step-by-step explanation:
Solve the problem.
Two forces of 575 newtons and 271 newtons act at a point. The resultant force is 657 newtons. Find the angle between the forces.
The resultant force is
→F=321.9N at−165.4°
The equilibrant is
→Feq=321.9N at14.6°
Explanation:
This problem requires that we resolve the force vectors into x- and y-components.
Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.
Finally, we will convert the resultant force into standard form and find the equilibrant.
Resolve into components:
F1x=F1cos180°=215(−1)=−215N
F1y=F1sin180°=0N
F2x=F2cos(−140°)=126(−0.766)=−96.5N
F1y=F1sin(−140°)=126(−0.643)=−81.0N
Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.
Now, we add the components:
Fx=F1x+F2x=−311.5N
Fy=F1y+F2y=−81.0N
Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:
F=√(
1. A CD in the financial sense is
(1 point)
O a certificate of deposit
O a checking account
a record of your transactions
O a small sarings account
2. When calculating interest earned on a CD, you (1 point)
O multiply the principal by the interest rate
Omultiply the principal by the interest rate and time
O use an online calculator
O multiply the principal by time
Answer:
1. a certificate of deposit
2. multiply the principal by the interest rate and time
Step-by-step explanation:
1. A CD is a savings vehicle called a "Certificate of Deposit." It generally specifies a certain rate of interest for a given period of time. It usually carries an interest penalty for early withdrawal.
__
2. The interest on a CD is calculated the way it is calculated for any other investment. The amount of interest in a given time is the product of the principal, the interest rate, and the time period. Interest on a CD with a period of more than 1 year is generally compounded. (The compounding interval will be part of the terms of the CD agreement.)
A certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time
What is Finance?Finance is defined as the management of money and includes activities such as investing, borrowing, lending, budgeting, saving, and forecasting.
A CD in the financial sense is a certificate of deposit.
When calculating interest earned on a CD, you multiply the principal by the interest rate and time.
This is because interest on a CD is usually compounded, meaning it is added to the principal balance over time and earns interest itself.
The formula for calculating the total amount earned on a CD is:
[tex]Total amount = Principal \times (1 + Interestrate)^T^i^m^e[/tex]
Where the interest rate is expressed as a decimal and Time is the number of years the CD is held.
Hence, a certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time
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Round to the nearest hundredth 0.2189
Answer:
0.22
Step-by-step explanation:
4 or less let it rest, 5 or more add one more!.
8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22
The measure of an angle is 53.8°. What is the measure of its complementary angle?
Step-by-step explanation:
Complementary angles means that the angles should add up to 90°.
let the complementary angle of 53.8° is x°.
So,
53.8° + x° = 90°.
x° = 90°-53.8°
x = 36.2°
What is (21/6) * (-3 3/4)? :
Answer:
...
Step-by-step explanation:
...