What is the square root of -1?
-i
i
-1
1
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."
Learn more about complex numbers here:
brainly.com/question/19007885
#SPJ6
There is a proportional relationship between the area of a wall and the amount of paint needed to cover it.
A. What is the constant of proportionality for that relationship? Explain.
Answer:
Constant of proportionality [tex] = \frac{1}{400} [/tex]
Step-by-step explanation:
A. The constant of proportionality can be calculated as the ratio of y to x. In this case, y = amount of paint, while x = the area of the wall
The area of the wall determines the amount of paint needed to cover the wall.
Constant of proportionality, k = y/x.
Any given pair cam be used as y and x to find k.
Thus, using (100, ¼),
[tex] k = \frac{\frac{1}{4}}{100} = \frac{1}{4}*\frac{1}{100} [/tex]
Constant of proportionality [tex] = \frac{1}{400} [/tex]
This means that as area of the wall increases, amount of paint increases and the ratio between them would always be [tex] \frac{1}{400} [/tex].
The dimensions of a rectangular garden are: Length (2x + 3) and the width is (3x-5) Find the value of x if the perimeter is equal to 26.
length=(2x-3)
width=(3x-5)
perimeter=26
perimeter= (2 times length) + (2 times width)
26= 2(2x-2) + 2(3x-5)
26 = 4x - 6 + 6x - 10
26 = 10x -16
26 + 16 = 10x -16 + 16
10 = 10x
10 ÷ 10 = 10x ÷ 10
1 = x
help me on it pls thanks
can someone find the inverse and explain it step to step please!!!!!!! (FOR QUESTION 3)
Answer:
f^-1(x) = 4(x+5)/3
Step-by-step explanation:
Let f(x) = y
So, y = (3/4)x - 5
y + 5 = (3/4)x
4(y+5)/3 = x
The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.
Help ASAP , 15 points and a brainy.
Answer:
B
Step-by-step explanation:
Answer:
I think the answer is B. It slopes downward from left to right.
Name an equivalent ratio for One-half with a denominator of 8.
a. 4 Over 8
c. 5 Over 8
b. 1 Over 8
d. 3 Over 8
Answer:
it is A
Step-by-step explanation:
Order the steps to show how to solve the equation 2(4x−11)+9=19.
Answer:
4
Step-by-step explanation:
2(4x-11)+9=19
8x-22+9=19
8x-13=19
8x=32
x=4
2 divided by 4/5 whats the answer to this problem anyone?
Answer: 2.5
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
Do keep change flip. Make 2 an improper fraction by making it 2/1. Change the division symbol to a multiplication symbol. Flip 4/5 to 5/4. The equation you should have is 2/1x5/4. 2x5=10 1x4=4. the fraction you should have is 10/4. 10 divided by 4 =2.5. the fraction you should have now is 2 2/4. Simplify 2 2/4 to 2 1/2.
Which of the following fraction is an equivalent fraction for 2/7?
1. 8/11
2. 10/28
3. 6/21
4. 4/7
Answer:
6/21
Step-by-step explanation:
6/21 can be divided by 3 to equal 2/7
Answer:
the answer is c 6/21
Step-by-step explanation:
can i please have brainiest
Write the inequality given below.
Eight less than 2 times a number is more than 12.
Answer:
Step-by-step explanation:
8-2x>12
will be nice if you give me brainlies.Good luck!
Complete this sentence: The shortest side of a triangle is always opposite the _____
A. second-longest side
B. longest side
C. angle with the smallest measure
D. angle with the greatest measure
By answering the above question, we may state that angle with the smallest measure, the smallest-measured angle
what are angles?An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.
angle with the smallest measure
To know more about angles visit:
https://brainly.com/question/14569348
#SPJ1
A
B
C
D
Thanks for helping me
3. What is the value of x?
(8x -- 8)
(7x - 8)
A -16
B. 120
C. 60
D. 16
Answer:
16
Step-by-step explanation:
took test
Which statement is true?
A) ST ≅ RV
B) VU ≅ ST
C) SR ≅ TU
D) ST ≅ UT
Answer:
D
Step-by-step explanation:
Trust me, i took the test.
4 groups of ___ tenths is 1.6
Given:
4 groups of ___ tenths is 1.6.
To find:
The value for the blank.
Solution:
Let the unknown value be x.
4 groups of x tenths is 1.6.
[tex]4x=1.6[/tex]
Divide both sides by 4.
[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]
[tex]x=0.4[/tex]
So, 4 groups of 0.4 tenths is 1.6.
Therefore, the required answer for the blank is 0.4.
Ernie worked at his job on Saturday and Sunday last weekend, earning $14 per hour. His
sister, Perla, also worked on the weekend and earned a total of $126.
If Ernie and Perla earned the same amount of money at their jobs last weekend, how many
hours did Ernie work?
Answer:
9 hours
Step-by-step explanation:
126 divided by 14 = 9
You can check your answer by 9 times 14 which would give you 126.
Solve. Check your answer.
16 = x
—
2
If f(x) = 7x, which of the following is the inverse of f(x)?
O A. f'(X) = x + 7
B. f1(x) = x - 7
O c. f'(x)
O d. f'(X) = 7x
SUBMIT
Answer:
x/7
Step-by-step explanatio
Please answer this (Middle school math)
Answer:
the first one
Step-by-step explanation: what school you go too
University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .
A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.
Answer:
(A) c) 0.1
(B) a) 0.9
(C) b) 0.5
(D) b) 0.1
(E) b) 0.18
Step-by-step explanation:
Given;
P(science) = 0.3
P(Arts) = 0.6
P(no degree) = 0.2
(A) The probability a student gets a Bachelor of Arts and Science degree;
= 1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is
= P(Science) + P(Arts)
= 0.3 + 0.6
= 0.9
(C) The probability a student gets only a Bachelor of Arts degree is
= P(Arts ) - P(Science and Arts)
= 0.6 - 0.1
= 0.5
(D) The probability a student gets a Bachelor of Arts and Science degree is:
1 - [P(science) + P(Arts)]
= 1 - (0.6 + 0.3)
= 1 - 0.9
= 0.1
(E) Independent case
= P(Science) and P(Arts)
= 0.3 x 0.6
= 0.18
Carter wants to know how often his classmates go to amusement parks. He asks the following question: “Did you go to an amusement park this summer?”
Is his question a statistical question? Explain why or why not.
Answer:
No, it is not
Step-by-step explanation:
This is not a statistical question because there is no need to apply any sort of math. This is a question that can easily be answered with a yes or no.
Answer:
Sample Response: No. A statistical question addresses difference in a population and offers a variety of responses. Carter’s question would yield only yes or no responses.
Which fraction is equivalent to 0.018?
55
2.
111
9
500
17
900
Please help
Answer:
0.018=9/500 as a fraction
Step-by-step explanation:
13-4x=1-x Please help 20 POINTS
Answer:
x will equal to 4
help please i need answer i will like you and try to answer to your last quashen pls help
Answer:
Ok the so the answer is 103.075
Step-by-step explanation:
So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075
PLEASE HEART
Angie painted 1/20 of a fence in 1/2 an hour. How long will it take Angie to paint one fence
Answer: 30 minute
Step-by-step explanation:60 diviser par 2
Answer:24 hours
Step-by-step explanation: because 1/2 times 20 will give you 24
what is the quotient of 4/5 divided by 1/3 2 and -----------
Answer:
2 2/5
Step-by-step explanation:
i just googled this srry
Answer:
2 2/5
Step-by-step explanation:
6TH GRADE MATH!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.
Answer:
false
Step-by-step explanation:
to get this answer you need to divide 3,400 by 8. Which is 425. So no, he can not go 750 meters, he can only go 425 meters in one minute. hope this helps!!
Suppose the point (x,y) is translated horizontally c units
Write down the corrdinates of the point
Answer:
If moved right it would be (x+c , y)
If moved left it would be (x-c , y)
Step-by-step explanation:
Basically, if you translate a point horizontally then the x coordinate would either increase or decrease while the y coordinate stays the same. You can represent this by x+or- c
complete the square, please show work x^2+12x=13
Answer:
[tex]x = 1 \: or \: x = - 13[/tex]
Step-by-step explanation:
[tex]x^2+12x=13 \\ x^2+12x - 13=0 \\ x^2+13x - x - 13=0 \\ x(x + 13) - 1(x + 13) = 0 \\ (x - 1)(x + 13) = 0 \\ x = 1 \: or \: x = - 13[/tex]