Answer: The powers of i have a repetitive cyclic nature.
When we raise the imagenry unit i to increasing powers, we get a pattern which repeats itself.
Observe the following table of powers of i.
Power of i i1 i2 i3 i4 i5 i6 i7 i8 i9
Simplified i -1 -i 1 i -1 -i 1 i
As you see above, the pattern repeats itself and is four members long.
Therefore, ix+8 ix+4 will equalx.
When asked to determine the value of i to a power higher than 4, we can use this information in order to find our position in the cycle.
So, instead of using the actual power, we can take the remainder of the power divided by 4.
What is the 12th term of the geometric sequence if a1= 30 and r=4.
Answer:
a₁₂ = 30·4¹¹ = 15·2²³Step-by-step explanation:
[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]
What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
y= -2/3x - 2
v= 2/3x - 2
Answer:
A. 2x + 3y = -6
Step-by-step explanation:
[tex](-3,0) (0,-2)[/tex]
[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]
[tex]y-0=\frac{-2}{3} (x+3)[/tex]
[tex]3y=-2x-6[/tex]
[tex]3y+2x+6=0[/tex]
[tex]2x+3y=-6[/tex]
-------------------
hope it helps...
have a great day!!
I need help,
If u know, help me please!!
Answer:
360ft³
Step-by-step explanation:
To get the volume for a pyramid just multiply length, width, and height then divide by three.
Answer:
[tex] 360 \: {ft}^{3} [/tex]
Step-by-step explanation:
[tex]V_{pyramid} = \frac{lwh}{3} \\ \\ = \frac{12 \times 6 \times 15}{3} \\ \\ = 360 \: {ft}^{3} [/tex]
Is 3x + 2y = 6 a function??
A. No, the equation is not a function; there is an x-value that produces two distinct y-values.
B. Yes, the equation is a function; the graph of the line passes the vertical line test.
C. Yes, the equation represents a function because there is both an x and a y
SHOW WORK SO I KNOW YOURE NOT GUESSING, AND NO 'LINKS' THEY ARE VIRUSES, X
Answer:
B
Step-by-step explanation:
2y=-3x+6
y = -0.5x + 3
this is a function because it is a linear equation that isn’t undefined
Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):
r = m + 5
r = 4m – 10
Which is the correct method to find Rose's and Milton's ages?
What is the rectangular form of r = −2 sin(θ)?
Answer:
D.) x2 + (y + 1)2 = 1
Step-by-step explanation:
No explanation needed just need to say something here.
Answer:
x2 + (y + 1)2 = 1
Step-by-step explanation:
What are the coordinates of the point (-8,5) if it is reflected across the x-axis?
a. (8,5)
b. (8, -5)
c. (-8,5)
D. (-8,-5)
I’ll mark branliest
Answer:
D:(-8,-5)
Step-by-step explanation:
It is already negative and if plotted the coordinates then reflected, it will give this answer
HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!
Algebra 2 will give points and brainly
Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.
ayo help pls can u help me:)
Answer:
A: 0.103
Step-by-step explanation:
Answer:
0.103 liters of juice
Step-by-step explanation:
Subtraction
1.09-0.987=
0.103
What is the value of x?
Answer:
The answer is 25.1 or just 25 which ever way they are asking for it
Step-by-step explanation:
Hope that helps
FYI you just need to use the Pythagorean theorem to solve this
A^2 + B^2 = C^2
PLEASE HELP ITS A FINALE IF YOUR WRITE I GIVE YOU BRAINLIEST
Answer:
Answer is B.
Step-by-step explanation:
-2x (4x+5)
-8x^2 - 10x
Hippoty Hoppity, distributive property.
Multiply -2x by 4x, both have X's, so you combine them to get x^2 (X squared).
Hope this helped. Good luck on your finals.
Help me pleasee I’m not sure I’m doing theses correctly ?
9514 1404 393
Answer:
(d) ∠AIS
Step-by-step explanation:
The tangent SF intersects the circle at one point, point I. Any angle it forms with a chord must be a chord that terminates at point I. There are two of them: AI and CI.
The angles these chords make with tangent SF are ...
∠AIS∠AIF∠CIS∠CIFOf these, only the first (∠AIS) is listed among the answer choices.
What is the rang of the relation?
A: {-3, 3}
B: {-3, -2, 0, 3}
C: {-4, -3, -2, 0, 2, 3}
D: {-4, -2, 2, 3}
Answer:
B.
Step-by-step explanation:
{-3, -2, 0, 3} - the set of y-values.
6. Select the expression that is equivalent to 24 + 64x
. A 8(3 + 8x)
B (8.3) + (8.x)
C 4(6 + 8x)
D 4(6 + x)
Answer:
A
Step-by-step explanation:
A. 8(3+8x)
8 times 3 is 24. 8 times 8 is 64 making it 24+64x
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?
Answer: [tex]2514.28\ cm^3[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=8\ cm[/tex]
Circumference of the base is [tex]20\pi \ cm[/tex]
suppose 'r' is the radius of the cylinder
[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]
The volume of a cylinder is [tex]V=\pi r^2h[/tex]
[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]
Ronnie's teacher wrote this expression on the board. (-4)(2) + (10/2) What is the value of this expression?
Answer:
The answer would be -3.
Step-by-step explanation:
If you follow PEMDAS, the first set of parenthesis, (-4)(2), would equal -8. The next set of parenthesis, (10/2), would equal 5. Adding -8 and 5 together gives you -3.
It rained all day, so many people played games. In the ring toss, 4
people won the grand prize, 15 people won the first prize, and 30 people won a consolation prize. How many more people won the first prize than the grand prize?
A. 30 people won a consolation prize.
B. 15 people won first prize.
C. It rained all day, so many people played games.
D. 4 people won the grand prize.
Answer:
9 more people
Step-by-step explanation:
There are 15 first prize winners and 4 grand prize winners
that means there are 15 - 4 more first prize winners than grand prize winners
15 - 4 = 9
9 more people won first prize than the grand prize
The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile? A-10.6 B-4.5 C-3 D-6.4
Answer:
10.9 miles
Step-by-step explanation:
distance of the park to the mall = distance of the mall from the city centre + distance of the park from the city centre
this question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypothenuse
distance of the mall from the city centre = 5² + 4²
25 + 16 = 41
√41 = 6.403124 miles
distance of the park from the city centre = 4² + 2²
16 + 4 = 20
√20 = 4.472136 miles
Total distance = 6.403124 miles + 4.472136 miles = 10.875260
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth is 7. it is greater than 5. So, 1 is added to the tenth term. this gives 10.9 miles
Please check the attached images for a better understanding of how the question was solved.
What is the percent of change from 56 t0 22
idea 34 I did 56-22 0.0
Answer:
I think it is -60.71428571 percent.
Somebody help please!<333
Answer:
C is correct I think.
Step-by-step explanation:
Tell me if I am right.
Have a nice day!
The value of
√
40
falls between which two numbers?
Answer:√40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.
Answer:
Between 6 and 7
Step-by-step explanation:
40 lies between 36 and 49
find square root of each (6 and 7)
What is the equation of the following line? Be sure to scroll down first to see
all answer options. Help pls
Please help me!
10.6 cm
13.5cm
Area=?
pls solve this fast pls help me fast
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.
Edit: Nvm I got it:)
Answer:
Step-by-step explanation:
Question
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.
perimeter of a triangle = AB+AC+BC
Using the distance formula
AB = sqrt(-2-5)²+(2-2)²
AB = sqrt(-7)²
AB =sqrt(49)
AB =7
BC = sqrt(-2+2)²+(2-5)²
BC = sqrt(0+3²)
BC =sqrt(9)
BC =3
AC= sqrt(-2-5)²+(2-5)²
AC= sqrt(-7)²+3²
AC =sqrt(49+9)
AC =sqrt58
Perimeter = 10+sqrt58
Paula is planning a dinner dance. She wants to keep the ticket price as low as possible.
Band A: charges $600 to play for the evening
Band B: Charges $350 plus $1.25 per student
After how many students would it be better to hire Band A?
Answer:
After 200 students, it would better to hire Band A
Step-by-step explanation:
350+ 1.25x = 600
1.25x = 250
x = 200
at 200 students the cost is the same for Band A and Band B
at 201 students Band A will be cheaper then Band B
PLEASE HELP I DONT KNOW WHAT THE ANSWER IS
Answer:
P = 8x + 4
Step-by-step explanation:
P = 2(l + w)
P = 2(5 + 4x - 3)
P = 2(4x + 2)
P = 8x + 4
What is the median. Also i have two more questions that have median.
Answer: 61
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
Work your way from the outside and you'll get 61
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the highest student changed the distribution by a lot