if i = √-1, then i^2 = ?
Answers
Because if i is square root of -1, squared would take out the square root
Ik it’s a bit confusing with my wording
The imaginary unit i is exactly defined as a number that gives -1 when squared.
So, by its very definition, you have the attachment I have attached as an answer.
Related Questions
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
Answers
Step-by-step explanation:
3x + 8y = -40
8y = -40 - 3x
y = -5 - 3/8x
y = -3/8x - 5
Equation that represents a line which is parallel to y = -3/8x - 5 can be any equation as long as it's y = -3/8x + c, as in c can be any value as long as the other parts of the equation is not changed
10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9
Answers
Answer:
First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well
Step-by-step explanation:
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?
Answers
Answer:
40 rubber bands are needed
5 rubber bands will be left from 5 bags of of rubber band
Step-by-step explanation:
Each student will need five rubber bands.
There are eight students
Total rubber bands needed = rubber bands per student × number of students
= 5 × 8
= 40
Total rubber bands needed = 40
Rubber bands come in bags of nine.
Number of bags needed = Total rubber bands needed / number of rubber bands in each bag
= 40 / 9
= 4.44 bags
It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5
5 rubber bands bags will be bought which = 5 × 9
= 45 rubber bands
Only 40 rubber bands are needed
Left over rubber bands = 45 - 40
= 5 rubber bands
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answers
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answers
Answer:
20 Km per hour.
i need help asap......
Answers
Secant and Tangent Angles in circles.
Solve for x.
Answers
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?
Answers
Answer:
The difference between the high and low temperatures is 29°F
Step-by-step explanation:
Subtraction
The high temperature in Denver, Colorado was 25°F on Monday.
The low temperature was -4°F in the same place.
We are required to find the difference between the high and low temperatures.
We need to subtract 25 and -4:
Difference = 25°F - (-4°F)
Note we change the sign of the subtraction multiplying (-1) by (-1);
Difference = 25°F + 4°F
Difference = 29°F
The difference between the high and low temperatures is 29°F
A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8
Answers
Answer: B: 4
Step-by-step explanation:
A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.
We want to find a 5 digit flippy number, this can be: modeled with:
N = ababa
Where a and b are single digit numbers.
If we impose that N must end with a zero, then we will have:
N = 0b0b0 = b0b0
This is a 4-digit number, so we can discard all the options that end with a zero.
Then the only option that we have are the numbers like:
B = 5b5b5
This number will be only divisible by 15 if:
5 + b + 5 + b + 5 = K is divisible by 3.
Then let's try find the possible values of b.
K = 3*5 + 2*b
K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.
Then we want 2*b to be divisible by 3.
And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}
The options are:
2*0 = 0 is divisible by 3.
2*3 = 6 is divisible by 3.
2*6 = 12 is divisible by 3
2*9 = 12 is divisible by 3.
Then we have four values of b such that:
N = 5b5b5 is divisible by 15.
Then the correct option is: B: 4
Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1
Answers
Answer:
1/3
Step-by-step explanation:
20/60 simplified is 1/3
20 for the red light
60 all of them added
Which table of values represents a linear function ?
Answers
Answer:
Step-by-step explanation:
C
the equation would be y=2x+4
The solution is Option C.
The linear equation is given as y = 2x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the x values be = { -4 , -2 , 0 , 2 }
Let the y values be = { -4 , 0 , 4 , 8 }
The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 0 - ( -4 ) / ( -2 - ( - 4 ) )
On simplifying the equation , we get
Slope m = 4/2 = 2
Now , the equation of line is
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 0 = 2 ( x - ( -2 ) )
On simplifying the equation , we get
y = 2x + 4
Hence , the linear equation is y = 2x + 4
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Help ASAP I need it quick please and thank you!!!!!
Answers
Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 the school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets find the price of a senior ticket and the price of a child ticket
Answers
Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
What is the slope of the line that passes through the points (-4, 4)(−4,4) and (-6, 6) ?(−6,6)? Write your answer in simplest form.
Answers
When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answers
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of game play. Each software package costs $30. If their total cost is $90, what is the cost of one month of gameplay?
Answers
Answer: $10
Step-by-step explanation:
Angie buys = 1 software package and 1month of gameplay.
Kenny buys = 1 software package and 2 months of game play.
Cost of each software package = $30. Total cost = $90
The total cost is the addition of what Kenny and Angie bought. This will be:
(1 SF + 1 G) + (1 SF + 2 G) = 90
where,
SF = software package = 30
G = game
(1 SF + 1 G) + (1 SF + 2 G) = 90
30 + 1G + 30 + 2G = 90
60 + 3G = 90
3G = 90 - 60
3G = 30
G = 30/3
G = 10
One month of game play cost $10
Find the slope of the line that passes through the points (5,9) and (2,7).
Answers
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
solve for f. -11f = 7(1 - 2f) + 5
Answers
Answer:
F = 4
Step-by-step explanation:
−11f=7−14f+5
−11f=−14f+12
−11f+14f=12
3f=12
f=
3
12
f=4
Answer:
f=
23/14
=1.643
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-11-(7*(1-2*f)+5)=0
-11 - (7 • (1 - 2f) + 5) = 0
14f - 23 = 0
3.1 Solve : 14f-23 = 0
Add 23 to both sides of the equation :
14f = 23
Divide both sides of the equation by 14:
f = 23/14 = 1.643
Which pair of complex numbers has a real-number product?
O (1 + 2i) (8i)
0 (1 + 2i) (2 - 5i)
O (1 + 2i) (1 – 2i)
O (1 + 2i)(4i)
Answers
Answer:
(1 + 2i)(1 - 2i)
Step-by-step explanation:
Multiplying a complex number and its conjugate results in a real number.
Thus
1 + 2i and 1 - 2i are conjugates
(1 + 2i)(1 - 2i) ← expand using FOIL
= 1 - 2I + 2I - 4I² [ note i² = - 1 ]
= 1 - 4(- 1)
= 1 + 4
= 5 ← a real number
Answer:
C
Step-by-step explanation:
C
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answers
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
A loon is a bird that dives in the ocean for its food. It can dive to a depth of 12ft in 8 seconds. How many feet does it dive per second? (Write your answer as a decimal) *
Answers
Answer: 1.5ft/seconds
Step-by-step explanation:
From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.
The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:
= 12ft / 8sec
= 1.5ft/seconds
Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.
Answers
Answer:
You just do
Step-by-step explanation:
Answer:
just click the thing that says "Ask blah blah about this question..."
Step-by-step explanation:
What does (f+g)x mean?
Answers
Answer:
(f + g)(x) means f(x) + g(x)
General Formulas and Concepts:
Alg I
Function NotationCombining like termsAlg II
Composite FunctionsStep-by-step explanation:
(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.
Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.
expand and simplify
2(x+7)+ 3(x+1)
Answers
Answer:
2(x+7)+3(x+1)
2x+14+3x+3
5x+17
Answer:
Step-by-step explanation
2(x+7)+ 3(x+1)
2x+14+3x+3
5x+17 is the answer
hi can somebody answer this rlly quickly
Answers
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent
Answers
Answer:
Since she sold $16,000, she earned commission on $13,000 of it.
So she earned $420 from $13,000
420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
10
Step-by-step explanation:
Answer:
3.23% or 3.2% to the nearest tenth %
Step-by-step explanation:
Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %
HELPPPPPPPPPPPP
i give brainliest!
Answers
Answer:
C
Step-by-step explanation:
The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35
ANSWER PLSSS THANK YOUUUUU
Answers
Answer:
As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%
Step-by-step explanation:
Count the blocks and convert (you can also use an array.) Hope this helps you!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
The box is a 10x10 so it has 100 squares inside.
There are 81 squares shaded so the fraction would be 81/100
To get the decimal just divide 81 by one hundred so the decimal is .81
As a percent is would be 81%
Hope this helps ya!!
Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10
Answers
Answer:
b is the answer of this puestion
Can Anybody Help With Geometry?
Answers
Answer:
SAS
Step-by-step explanation:
Side Angle Side: It shows only one angle and shows that 2 sides are congruent.
Answer:
It is SAS. Please mark brainliest.
Step-by-step explanation: