Answers
Answer:
D
Step-by-step explanation:
Answer:
D. 1.
Step-by-step explanation:
We know that the powers of the imaginary constant, i, follow a certain pattern.
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.
Every 4 powers, the result cycles back to the original i. This is because there are only 4 unique digits that result from raising i to various powers.
To figure a higher power, such as 12, we need to take the remainder of the power when divided by 4 (the amount of unique answers), to simplify it to the original 4 powers.
So when you have i^12 power, the remainder is 0. This is because 4 is a factor of 12. As a result, we can simplify this to i^8, and therefore i^4, which equals 1.
I hope this helps!
Related Questions
You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a)$0
b)$500
c)$2,000
d)$2,500
Answers
Answer:
c
Step-by-step explanation:
2,500-500=2000
Ellie compared 4/7 and 5/3 by first comparing each fraction to 1/2 and 1.
Step 1: 4/7 is less than 1 but more than 1/2
Step 2: 5/3 is more than 1
Step 3: so, 4/7 > 5/7
In which step did
Ellie make her first mistake?
Answers
Answer:
Step 3
Step-by-step explanation:
She made her first mistake in Step 3.
This is because 4/7 is actually less than 5/3.
Step 1 and 2 are mathematically accurate.
1/2 is less than 1.
So, since 4/7 is only greater than 1/2 and not greater than 1 as compared to 5/3 which is actually greater than 1, she should have concluded that 4/7 is less than 5/3.
Therefore, Step 3 contains the mistake.
Silver has a density of 0.04 lb/cm^3. A standard silver bar has a volume of 642
cm^3. To the nearest pound, how much does 1 standard silver bar weigh?
Answers
Answer:
The weight of the mentioned silver bar is:
25.68 LbStep-by-step explanation:
Remember that the formula of density is:
Density = mass / volume.From this formula, you can clear the mass (because this is the valor you need to solve the exercise), so you will have:
Mass = density * volumeWith this last formula, you must replace the values given in the exercise:
Mass = density * volume Mass = 0.04 lb/cm^3 * 642 cm^3 Mass = 25.68 LbYou can check this value using the original formula of density and see if the density has the same valor of the exercise:
Density = mass / volume. Density = 25.68 Lb / 642 cm^3 Density = 0.04 Lb / cm^3The diagram shows a square pyramid over a cube. What is the volume of the entire figure?
Answers
Answer: 810
Step-by-step explanation:
first lets take down the information we were given,
height (h) of the pyramid should be 12 - 9 = 3
base (a) = 9
So we calculate the volume of a square pyramid
V = a²h/3
V = (9² × 3) / 3
v = (81 × 3) / 3
V = 81
now we calculate the volume of the cube using the formula
V = a³
V = 9³
V = 729
NOW to get the volume of the entire figure
we say
volume of square pyramid + volume of cube
81 + 729 = 810
* ANSWER PLEASE *
We have a circle with center A with an arc CB with a measure of 180°. What is the measure of angle D?
Answers
Answer:
90
Step-by-step explanation:
You can look at it from 2 perspectives:
1.The angle that is in front of a diameter is always 90°
OR
2. Central angle is twice any inscribed angle subtended by the same arc
Answer:
90 degrees
Step-by-step explanation:
Solve the equation below for x.
4(2x +8) - 3x = 47
1.
X= 13
2.
X= 2
3.
X= 3
4.
X= 7.8
Answers
Answer:
x=3
Step-by-step explanation:
4(2x +8) - 3x = 47
Distribute 4
8x + 32 -3x = 47
Combine like terms
5x + 32 = 47
Subtract 32
5x = 15
x= 3
What is the measure of
Answers
Answer:
x= 145
Step-by-step explanation:
this equals to 180
so 180- 35=
Answer:
x=145
Step-by-step explanation:
Define a quadratic function y = f (x) that satisfies the given conditions.
Vertex (-3, -4) and passes through (0, -31).
Answers
Answer:
it says that the given condition for vertex (-3,-4) and passes through (0,-31)
A farmer picks a spherical piece of fruit. The farmer measures the diameter to be 19.2 cm. What is the surface area of the fruit? Use 3.14 for pi.
Answers
Answer:1157.53
Step-by-step explanation:
Equation: 4×pi×r squared
Radius is half of diameter so 19.2÷2=9.6
4×3.14×9.6squared=1157.53
Answer:
Answer:1157.53
Equation: 4×pi×r squared
4×3.14×9.6squared=1157.53
A parallelogram has an area of 120 cm2. The base is 15 cm.
What is the height?
Answers
The value of height is 8 cm
Look at the attached picture
Hope it will help you
Answer:
formula is base x height = area
if we undo the multiplication and make the equation area / base = height we can find the height
120/15=8
8 is the height
hope this helps
Step-by-step explanation:
gebra
Assignment
Active
Analyzing the Discriminant of a Quadratic Equation
Which values of o will cause the quadratic equation-x2 + 3x + c = 0 to have no real number solutions? Check all that
apply
I-5
- 2 /
1
no
Answers
Answer: The answer is 1, 2
Step-by-step explanation:
The coordinates of the endpoints of the diameter of a circle are (3,7) and (-5,3). Find the coordinates of the center of the circle
Answers
Answer:
[tex](-1,5)[/tex]
Step-by-step explanation:
The definition of the diameter indicates it passes through the center of the circle to be called diameter. Therefore finding the midpoint of the line that is the diameter we will find the center of the circle.
To find the coordinates of this midpoint we must make an average of the 'x' values of the two given points, and also an average of the two given 'y' values.
the coordines of this midpoint will be [tex](x_{m},y_{m})[/tex] where [tex]x_{m}[/tex] is the average of the 'x' values, and [tex]y_{m}[/tex] is the average of the 'y' values
The points we have are:
[tex](3,7)[/tex]
where I will call the coordinates: [tex]x_{1}=3[/tex] and [tex]y_{1}=7[/tex]
[tex](-5,3)[/tex]
where I will call the coordinates: [tex]x_{2}=-5[/tex] and [tex]y_{2}=3[/tex]
the average of the 'x' values is:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
substituting the values:
[tex]x_{m}=\frac{3+(-5)}{2}\\ \\x_{m}=\frac{3-5}{2}\\ \\x_{m}=\frac{-2}{2}\\ \\x_{m}=-1[/tex]
the average of the 'y' values is:
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}\\[/tex]
substituting the values:
[tex]y_{m}=\frac{7+3}{2}\\ \\y_{m}=\frac{10}{2}\\ \\y_{m}=5[/tex]
and the center of the circle (the midpoint of the diameter) is at:
[tex](x_{m},y_{m})[/tex]
which is
[tex](-1,5)[/tex]
How much less is 50km than 13.9km?
Answers
Answer: It is not less
Step-by-step explanation: 50 km is 36.1 km more than 13.9.
Hope this helps !
-Carrie
Answer:
It is not less
Step-by-step explanation:
50 km is 36.1 km more than 13.9
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 centimeters cubed. A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? Centimeters cubed
Answers
Answer:
the answer is 32
Step-by-step explanation:
Answer:
I think the answer is 32 cm
(I'm so sorry if it's wrong)
Hope this Helps!
Part A
Tom, wants to buy a dictionary that costs $19.50
, a dinosaur book that costs $8.50
, and a children's cookbook that costs $5.50
.
Find the total cost of the dictionary, the dinosaur book, and the cookbook.
Answer: $
Part B
If he has saved $9
from his allowance, how much more money does Tom need to buy all three books?
Answers
Answer:
part a: $33.50
part b: $24.50
Step-by-step explanation:
add up all of the costs of the books so 19.50 + 8.50 + 5.50 = $33.50
next just subtract 9 dollars from 33.50 so 33.50 - 9 = $24.5 more he needs.
Does the function f(x) = 2 e-*represent exponential growth, decay, or neither?
O A) Impossible to determine with the information given.
B) Neither
OC) Exponential growth
OD) Exponential decay
Answers
Answer:
Exponential Decay
Step-by-step explanation:
An exponential growth function has a postive integer and a Exponetniaal decay function has a negative integer
answer Is not B
help is appreciated
Answers
Answer:
d
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 3 and r = 12 ÷ 3 = 4 , thus
[tex]S_{8}[/tex] = [tex]\frac{3(4^{8}-1) }{4-1}[/tex]
= [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535 → d
Answer:
d.
Step-by-step explanation: the other person said it and they seem to be way smarter then i am so pick d
The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
Answers
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] \frac{ - 14}{5} + x = - 2 \\ x = - 2 + \frac{14}{5 } \\ x = \frac{ - 10 + 14}{5} \\ \: x = \frac{4}{5} \\ therefore \: the \: other \: number \: is \: \frac{4}{5} [/tex]
Answer:
4/5
Step-by-step explanation:
x+(-14/5)= -2
x= 14/5 - 2
x= (14-10)/5
x= 4/5
In a survey of students, 60% were in high school and 40% were in middle school. Of the high school students, 30% had visited a foreign country
If a surveyed student is selected at random, what is the probability that the student is in high school and has visited a foreign country?
A. 12%
B. 18%
C. 24%
D. 30%
Answers
Answer:
18%
Step-by-step explanation:
60 percent are in high school, of those 60 percent, 30 percent visited a foreign country
P ( high school and foreign country) = 60% * 30 %
=.60*.30
.18
18%
A line parallel to the___ has no defined slope, and a line parallel to the_____ has slope of zero.
1) X-axis. 2) x-axis
Y-axis
y-axis.
Answers
Answer:
A line parallel to the y-axis has no defined slope, and a line parallel to the x-axis has slope of zero.
Step-by-step explanation:
Lines parallel to the y-axis are vertical and are undefined as they don't technically have a gradient.
lines parallel to the x-axis are horizontal and have a gradient of 0 since there is no positive or negative angle, it's just straight.
Hope this helped :)
NEED ASAP WILL MARK BRAINLIEST !!
Answers
Answer:
the second answer
Step-by-step explanation:
V of a half cup
V = ½ πr² h
V = ½ 3.14 2² . 8
V = 50,24 in³ ≈ 50,3
Josephine is opening a retail shoe store and has developed this graph to represent her projected revenue, costs, and profit. Which two
sentences correctly interpret the graph?
20.000
revenue
Dollars
costs
profits
50
Profits increase until the price of the shoes reaches $22.
Costs decrease until the price of the shoes reaches $22,
Answers
Answer:
Profits increase until the price of the shoes reaches $22.
There are more prices with positive revenues than positive profits.
Step-by-step explanation:
In the picture attached, the problem is shown.
The first sentence is true because the profit curve has a maximum at $22.
The second sentence is true because the profit is computed as follows:
profit = revenue - cost
and cost decreases as the price increase; therefore, there are positive revenues with negatives profits.
The two sentences which correctly interpret the graph include:
Profits increase until the price of the shoes reaches $22.There are more prices with positive revenues than positive profits.What is a Graph?This is defined as a pictorial representation of numbers or variables in an organized manner.
The profit curve has a maximum at $22 which makes statement 1 correct while from the graph we can also deduce that there are more prices with positive revenues.
Read more about Graph here https://brainly.com/question/11539624
#SPJ2
Which equation correctly represents the distance between −15.1 and −3.9 on a number line?
a |−3.9−(−15.1)|=11.2
b −15.1−3.9=−19
c |−15.2+(−3.9)|=19
d −3.9−15.1=−11.2
which on is it
Answers
Answer: The correct answer is A
Find the surface area of the triangular prism. The base of the
prism is an isosceles triangle.
41
40 cm
The surface area is
cm2
Answers
Step-by-step explanation: first you just do the triangle bhx1/2 then the three rectangles bh
For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices, Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27. Define the variables Write a system of equations to represent this situation Solve the system to find out the price of each ticket sold. Prove and Explain how you know that your answer is correct. If a family of 5 would like to attend one game during the football season and one during the baseball season how much would it cost them. How much was the average price of a football game ticket last year to see the Giants, how about the average price of baseball ticket to see Yankees Play?
Answers
Answer:
just read through this document
The cost of a baseball ticket is $26.64 and the cost of a football ticket is $74.99.
If a family of 5 would like to attend one game during the football season and one during the baseball season,
The cost of a baseball ticket is $133.2 and the cost of a football ticket is $374.95.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices,
Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27.
Let x represents the cost of one baseball ticket and y represents the cost of a football ticket.
Then,
3x + 2y = 229.90
2x + y = 128.27.
The solution of the system of the equation is the intersection point of the line.
The solution = (26.64, 74.99)
The cost of a baseball ticket is $26.64 and the cost of a football ticket is $74.99.
If a family of 5 would like to attend one game during the football season and one during the baseball season,
the cost of a baseball ticket is $26.64x 5 = $133.2 and the cost of a football ticket is $74.99x5 = $374.95.
Therefore, all the required value is given above.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
What is the final transformation in the composition of
transformations that maps pre-image ABCD to image
A'B'C"D"
Answers
Answer:
Translation
Step-by-step explanation:
We'll translate (move) the quadrilateral ABCD to A'B'C'D' to prove their congruency
Answer:
The Answer is C. a 270 degree rotation about point B’
Step-by-step explanation:
Took the test, here is image proof lol, hope this helps you guys
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
negative i took the test and got it right
Step-by-step explantrust me
What is the inverse of the function f(x)= 6x-5/x+9
Answers
Answer:
Inverse of -5-9x/x-6
Step-by-step explanation:
Steps:
1: Interchange the variables x and y.
x=6y-5/y+9
2: Solve x = 6y-5/y+9 for y
3: Multiply both sides by y+9
4: Simplify and Expand
5: Subtract 9x from both sides.
6: Simplify and Subtract y from both sides then Simplify again
7: Divide both sides by x-6
Answer: Inverse of -5-9x/x-6
Hope this helps.
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
Step-by-step explanation:
Under which angle conditions could a triangle exist? Check all that apply.
3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
O
Answers
Answer:
3 acute angles.
2 acute angles, 1 right angle.
2 acute angles, 1 obtuse angle.
Step-by-step explanation:
The 3 angles in a triangles add up to 180 degrees.
Acute angles are < 90 degrees.
A right angle = 90 degrees,
Obtuse angles are > 90 degrees.
Answer:
3 acute angles
2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle
Or 1, 2 , 5
Step-by-step explanation:
Please help me answer this question
Answers
Answer:
B
Step-by-step explanation:
Use the formula: V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
33.5 = [tex]\frac{1}{3}[/tex](3.14)(4)h
33.5 = 4.19h
8 = h