Answer:
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
i^8 = 1
i^9 = i
Step-by-step explanation:
Anything raised to 0 is 1
Anything raised to 1 is itself
I just always knew i^2 = -1
I put this rest into the calculator honestly
But if you look at the stuff from i^2, you'll notice there's a pattern (-1, -i, 1, i) and it repeats. I bet if you raise i to the 10th, 11th, 12th, and 13th power, it is going to repeat the same pattern. I hope this helps in any way.
Helen buys a fleet of taxis for her new business.
The bank lends her £300 000 and she uses this money
to buy the taxis which cost £23 400 each.
a) How many taxis can she buy?
b) How much of the loan will be left over?
Answer:
a=12 b= 19200
Step-by-step explanation:
Simplify each expression by combining like terms
-3x + 12x =
Answer:
9x
Step-by-step explanation:
hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx
Answer:
9x or 15x
Step-by-step explanation:
-3x + 12x = 9x
-3 + 12 = 9,
or if you just straight out add
-3x + 12x = 15x
F(x) = 3 x 2 − 3 x − 6 The domain of a the function f(x) is { -10, -1, 1, 5 }. What is the range of the relation?
Answer:
{324, 0, -6, 54}
Step-by-step explanation:
Given that F(x) = 3x² − 3 x − 6 If the domain of a the function f(x) is { -10, -1, 1, 5 }.
To get the range, we will find f(x) for all the domains
at x = -10
f(-10) = 3(-10)²-3(-10) - 6
f(-10) = 3(100)-3(-10) - 6
f(-10) = 300+30-6
f(-10) = 330-6
f(-10) = 324
at x = -1
f(-1) = 3(-1)²-3(-1) - 6
f(-1) = 3(1)-3(-1) - 6
f(-1) = 3+3-6
f(-1) = 6-6
f(-1) = 0
at x = 1
f(1) = 3(1)²-3(1) - 6
f(1) = 3(1)-3(1) - 6
f(1) = 3-3-6
f(1) = 0-6
f(1) = -6
at x = 5
f(5) = 3(5)²-3(5) - 6
f(5) = 3(25)-3(5) - 6
f(5) = 75-15-6
f(5) = 60-6
f(5) = 54
Hence the range of the relation are {324, 0, -6, 54}
The radius of a circle is 2 millimeters. What is the circle's area?
r=2 mm
Use 3.14 for .
sanare millin
Answer:
12.56 mm²
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
Plug the given values into the area equation
[tex]A=3.14*2^{2}\\A=3.14*4\\A=12.56[/tex]
Therefore, the area of the circle is 12.56 mm².
I hope this helps!
A family of 5 drove to a concert. They paid $4 one time for parking and all of their tickets were the same price. They paid $99 total. What equation would represent this situation?
Answer:
5 + (18,8 × 5) = 99
Explaination
one ticket costs: (99$ - 5$) ÷ 5 = $18,8
Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (3x+10)∘, and the measure of ∠B is (12x+35)∘.
Write an equation that can be used to determine the value of x.
Enter the correct answer in the box.
Answer:
180=12x+35+3x+10 or 180=15x+45
Step-by-step explanation:
supplementary means that they will add up to equal 180.
b) Work out 4 =
5
Give your answer as a mixed number in its simplest form.
Answer:
Step-by-step
explain your question more please.
A rental car company charges $21.45 per day to rent a car and $0.09 for every
mile driven. Aaliyah wants to rent a car, knowing that:
• She plans to drive 475 miles.
. She has at most $150 to spend.
Use the drop-down menu below to write an inequality representing d, the
total number of days Aaliyah can rent the car while staying within her budget.
Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it is in the tens place. Who is right? How do you know?
Answer: Meaghan is right.
Step-by-step explanation:
For a number like:
123.45
the tens place would be the "2" (second number at the left of the decimal point)
The ones place would be the "3" (first number at the left of the decimal point)
Let's suppose that Lily is correct.
Then the quotient of:
43.61/7
Will be a number with two digits in the left of the decimal point.
The smallest number that meets this condition, is the number 10.
Then let's see:
7*10 = 70
then:
70/7 = 10
and:
43.61 < 70
(70 is larger than 43.61)
then:
43.61/7 < 70/7 = 10
Then:
(43.61/7) < 10
This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.
Then Meaghan is the correct one.
We also could perform the quotient to find:
43.61/7 = 6.23
So yes, Meaghan is correct.
A cone has a height of 12 yards and a radius of 7 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
____ cubic yards
Answer:
615.44 cubic yards
Step-by-step explanation:
V = 1/3·π·7²·12
7. Which equation is graphed below?
A. y = x + 1
B. y = |x|
C. y = [x]+1
D. y =[x]
Rayshawn is filling his water jug with water. After one minute, there are 2 gallons
of water in the jug. After two minutes, there are 5 gallons of water in the jug.
After three minutes, there are 8 gallons of water in the jug. If this pattern
continues, how many gallons of water will be in the jug after five minutes?
Answer:
There will be 20 gallons in this jug after 5 minutes.
Step-by-step explanation:
You are simply adding 3 to each number.
Starts out with 2
+3=5
+3=8
+3=11
+3=14
+3=17
+3=20
Answer:
After 5 minutes there will be 14 gallons of water.
Step-by-step explanation:
The gallons go up by 3. 2+3= 5+3= 8+3= 11+3= 14
what is the equation of the vertical line through (2, 3) hurry! 40 points
Step-by-step explanation: The equation of a vertical line can always be written as x = the x-coordinate of the given point.
So in this case, our equation is x = 2.
PLEASE HELP BCS MY TEACHER KEEPS POSTING HARD STUFF
Answer:
My estimate is D:21
Step-by-step explanation:
so sorry this answer will be 75% wrong, let me explain how i got this answer
the perimeter of triangle ADE is 12 units
Triangle ABC looks like 2 times the triangle ADE , 12 + 12 = 24 and the closest answer was D: 21
I hope i helped you in some way!
Answer:
D.21
Step-by-step explanation:
AC=8
AB=8
BC=5
Add all the sides
=21
What are the length and width of the frame?
{2l+2w=62}
1-2w=1
I don't know the answer its not in my syllabus nor I was thought this one
What is 6.9-(-5)+4.1
Answer:
16
Step-by-step explanation:
6.9+5+4.1
11+5
16
pls thanks
Answer:
16
Step-by-step explanation:
Recall that the product of a negative number and another negative number is a positive number. Thus, -(-5) = +5, and the original expression becomes
6.9 + 5 + 4.1.
Combining the mixed numbers 6.9 and 4.1, we get 11.
Combining 11 and 5 results in 16.
Determine which figure matches the pattern for the given base, side, and front.
Base
Side
Front
Answer:
the first one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Help please! See attached photo
I REALLY REALLY NEED HELP ON THIS I DON'T UNDERSTAND IT!!!!!!!!!!!!!!!!!
Answer:
d
Step-by-step explanation:
in order for it to be a triangle the angles have to add up to equal 180
5+75+100=180 so its not a
10+80+90=180 so its not b
20+60+100=180 so its not c
45+45+45=135 so its d because the angles dont add up to 180
50+50+80=180 so its not e
Answer:
D
Step-by-step explanation:
To be a triangle, you have to have 180 degrees. if you add up all of the sides, it should give you 180. If it doesn't, it isn't a triangle. I hope that helped! :)
Plz consider giving me brainliest answer as I am trying to reach a new level, thanks!
I don't know how to give brainliest tho.
what is 7 divided by 10 as a fraction
The fractional form is 7/10.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
We have to divide 7 by 10.
The common factor for 7 and 10
7 = 7 x 1
and, 10= 2 x 5 x 1
so, there is only one factor common is 1.
Thus, the fraction is 7/10.
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2 1/6 x 4 1/2 Solve the problem AND explain your steps
It says solve for the variable can you explain
Answer:b=39 degrees
Step-by-step explanation:
We know the whole angle is a 90 degree angle because of the right angle sign. So all we have to do is subtract 51 from 90, which is 39 degrees
Move words to the blanks and equations to the boxes to prove that vertical angles 21 and 23 are congruent.
Because linear pairs of angles are
and
Because angles that are
to the same angle are
it can be concluded that 21 23.
congruent
m21 +m22 = 180°
supplementary
m22 + m23 = 180°
m2l + m23 = 180°
Answer:
Because linear pairs of angles are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Step-by-step explanation:
The correct question is attached.
Linear pairs angles are angles which are formed from the intersection of two lines and they are adjacent to each other. Linear pair angles are supplementary.
If angles are supplementary to the same angle, then they are congruent.
∠1 and ∠3 are vertical angles
∠1 and ∠2 form linear pairs while ∠2 and ∠3 form linear pairs. Therefore:
m∠1 + m∠2 = 180° (linear pair angles are supplementary)
m∠2 + m∠3 = 180° (linear pair angles are supplementary)
Hence using transitive property of equality:
m∠1 + m∠2 = m∠2 + m∠3
Using subtraction property of equality by subtracting m∠2 from both sides gives:
m∠1 = m∠3
∠1 ≅ ∠3 (vertical angles are congruent)
Because linear pairs of angles are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.
Find X (the angle are X, 81, and 84)
Answer:
15
Step-by-step explanation:
the answer is 15 because a triangle has to equal 180 so all you have to do is add 81 and 84 then subtract 180 from it. like this 81+84=165 180-165=15. Hope this helps.
Which of the following is true?
|−6| < 5
|−6| < |5|
|−5| < |−6|
|−5| < −6
Answer:
Answer vary :
|-5| < |-6|
Step-by-step explanation:
honestly in my opinion that’s the answer.
‘these lines | change a negative number to a positive so if it changes -5 and -6 to positives.
wich makes |-5| < |-6| the right one.
and that’s how I came to that solution.
5 is not more than x
Answer:
well we don't don't know...because x is unknown
Answer:
There no problem but 5<=x in equation form
Step-by-step explanation:
That way because x can either be five or higher
Solve the system by substitution.
x= -5y - 6
5x – 3y = -2
What’s is the solution?
The value of x is -1 and value of y is -1.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
x+5y=-6...(1)
5x – 3y = -2...(2)
Multiply equation 1 with 5
5x+25y=-30..(3)
Subtract equation 2 and equation 3
5x-3y-5x-25y=-2+30
-28y=28
Divide both sides by 28
y=-1
Now plug in y value in equation 1
x=5-6
x=-1
Hence, the value of x is -1 and value of y is -1.
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Please help right now
Answer:
C
Step-by-step explanation:
the negative sign in -0.3 implies that it is below and the only answer choice with the word below is
C: New orleans is 0.3m below sea level
The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.
Answer:
5/4
Step-by-step explanation:
Rise over run you go up 5 and left 4 so 5/4 is the ROC.
The rate of change of the function is given by the slope of the line m = -4/3
What is an Equation of a line?The equation of a line is y = mx + b where m is the slope which is the rise by run and b is the y-intercept
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
Given data ,
Let the rate of change of the function be m
The equation is represented as A
Now , the value of A is
Let the first point be P ( 0 , 4 )
Let the second point be Q ( 3 , 0 )
Slope m = -4/3
On simplifying the equation , we get
Slope m = -4/3
Now , the equation of line is
y - 4 = ( -4/3 ) ( x - 0 )
On simplifying the equation , we egt
y - 4 = ( -4/3 )x
y = ( -4/3 )x + 4
Hence , the equation of line is y = ( -4/3 )x + 4 and the rate of change of the function is m = -4/3
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Find the area of this composite figure.
Answer:
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
Area of a rectangle: Area = Length x Width
Have to look at it in two different rectangles and add up the areas.
• 8 x 4 = 32
• 2 x 4 = 8
• 32 + 8 = 40
• Area of the figure is 40!