HELP!! This is due tomorrow! This is Algebra 2!
6i^12+7i^22
Answers
================================================
Work Shown:
Recall that the imaginary number i has the definition of \(i = \sqrt{-1}\)
List out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = -ii^4 = 1I'm skipping steps when I listed out those terms, so let me know if you need to see them.
The process repeats every 4 items. This means we'll divide the exponent by 4 to look at the remainder.
Let's do that for the first exponent
12/4 = 3 remainder 0
The remainder 0 tells us that i^12 = i^0 = 1
Also,
22/4 = 5 remainder 2
The remainder 2 means i^22 = i^2 = -1
-------------------
In short: i^12 = 1 and i^22 = -1
which means 6i^12 + 7i^22 = 6(1) + 7(-1) = -1
Related Questions
What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10
Answers
Answer:
c
Step-by-step explanation:
10×a number added to 5is same as 9times the nunber is what
Answers
Answer:
Negative 5
Step-by-step explanation:
Start by subtracting 5 from both sides, this is because it is the coefficient on the left side.\(10x+5-5=9x-5\)
Next, simplify by subtracting 5. Note that you can't subtract a singular whole number from a term, basically a number with a variable next to it.\(10x+5-5\\= 10x+\left(5-5\right)\\= 5-5\\=0\\=10x+0\\=10x\)
--------------
\(9x-5\\= 9x-5\)
Third, identify the simplified equation.→ \(10x=9x-5\)
Fourth, subtract by the term 9x. You always subtract by the term/leading term on the right side at this point in an inequality or algebraic equation. Note: Assume x is 1 as a placeholder until you find x's real value.\(10x-9x=9x-5-9x\)
\(10x - 9x\\= 1x\\= 1 \times x\\= 1\)
\(9x-5-9x\\=9x\left(-5\right)-9x\\= 9x - 9x\\= 0 - \left(-5\right)\\= -5\\x = -5\)
Hope this helps!
3.) Find the volume of a triangular prism with a length
of 5 units, a width of 6 units, and a height of 4 units.
Answers
Answer:
Volume V = 18.735 m3
Step-by-step explanation:
hope this helps
A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width
Answers
Answer:
width = 3/10 mi
Step-by-step explanation:
area = length * width
width = area/length
width = (3/4 mi^2)/(2 1/2 mi)
width = (3/4 mi^2)/(5/2 mi)
width = 3/4 * 2/5 mi
width = 6/20 mi
width = 3/10 mi
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
Mr. Marshal spent his salary of $8 400 in the following manner: Rental .....1/5 Food.......1/10 Bank ......1/4 Miscellaneous ......... the remainder. what fraction of the money was spent on miscellaneous. how much did he spend on rental. if marshal spent 4/9 of miscellaneous on a trip what fraction of his entire salary was spent on the trip ?
Answers
Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.
To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.
Rental: 1/5
Food: 1/10
Bank: 1/4
To find the fraction spent on miscellaneous:
Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)
Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40
Fraction spent on miscellaneous = 1 - 17/40 = 23/40
So, Mr. Marshal spent 23/40 of his salary on miscellaneous.
To find the amount spent on rental, we multiply the fraction spent on rental by his salary:
Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680
Therefore, Mr. Marshal spent $1,680 on rental.
If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.
Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90
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what is 4(5+3) pls what is it
Answers
Answer:
is 32
hope that helps!
Which table shows a proportional relationship between x and y?
4
7
8
10
O
2
3.5
4
y
5
2
х
4
7
8
O
6
у
10
21
24
х
1
2
4
3
o
00
6
8
10
12
y
40
50
60
X
90
O
8
10
14
y
18
Answers
Already answered here: https://brainly.com/question/26800677
The first table represents the proportional relationship between x and y
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Proportional relationships are relationships between two variables where their ratios are equivalent.
In the first table the ratio of each variables are equal.
4/2 = 7/3.5 = 8/4= 10/5 =2
So the first table represents a Proportional relationship.
In the remaining tables there is no equal ratio between variables x and y.
Hence, the first table represents the proportional relationship between x and y
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Geometry I need help
Answers
Figure O is reflected followed by a translation of 4 units in the left direction.
Given that:
Figure O and Figure P are shown on the graph.
The translation does not change the shape and size of the geometry. But changes the location.
Figure O is translated leftward by 4 units.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.
The translated figure O is reflected across the x-axis.
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16. A building has more than 2 stories but fewer than 10 stories. Each story of the building has the same number of windows. The. building has 25 windows. Complete the sentence. Then explain how you found your answer.
Answers
To find the number of stories in the building, we need to find the number of stories that would result in a total of 25 windows. Since each story has the same number of windows, we can divide the total number of windows by the number of windows per story to find the number of stories.
For example, if there are 2 stories and each story has 12 windows, then the total number of windows would be 2 * 12 = 24 windows. This is too few windows, so we need to try a higher number of stories.
If there are 3 stories and each story has 8 windows, then the total number of windows would be 3 * 8 = 24 windows. This is still too few windows, so we need to try a higher number of stories.
If there are 4 stories and each story has 6 windows, then the total number of windows would be 4 * 6 = 24 windows. This is still too few windows, so we need to try a higher number of stories.
If there are 5 stories and each story has 5 windows, then the total number of windows would be 5 * 5 = 25 windows. This is exactly the right number of windows, so we have found the solution.
Therefore, the building has 5 stories.
I don’t think I got the right answer?
Answers
Answer:
it's third option the one who says 10 units up
What is the measure of angles DEC and GAH?
Answers
Answer:
DEC is 30°
because 180° - 50° would be 40°
How can you use the double number line diagram to find what percent 120 is of 150?
Answers
Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.
To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.
On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.
This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.
To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.
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what is the value of h(2)
a) -2
b) -1
c) 0
d) 3
Answers
Answer:
(c) 0
Step-by-step explanation:
The answer to this question requires that you read a graph.
How to read a graphFinding the value of h(2) means finding the value of "y" that corresponds to x=2.
The x-axis of this graph is identified by the "x" at the right side, under the arrow at the end of the x-axis. The y-axis is similarly identified by the "y" to the right of the y-axis at the top of the graph.
Each axis is labeled with numbers.
To find the y-value associated with x=2, first find the vertical line labeled 2 on the x-axis. It is 2 grid squares to the right of the y-axis.
Follow this vertical line until you reach the point where it intersects the line segment(s) representing h(x). At one of these, you encounter a solid dot. At the other point of intersection, you see an open circle (empty dot). The open circle means the point is not included in the function graph.
The value of h(2) is the y-value at the point where the vertical line x=2 meets the defined point on the function graph, the solid dot. The y-value is found by following the horizontal grid line to the y-axis, and reading the y-value there.
The point on this graph where the axes cross, the "origin," has no markings indicating the x- and y-values are zero there. You must infer that from the markings that are shown.
Value of h(2)The point on the graph where x=2 lies on the horizontal line y=0. That is ...
h(2) = 0
what is the range for the possible side lengths AB of ABC.
Answers
Answer:
adg
Step-by-step explanation:
adg is the range for the side lengths AB of ABC
Hope it's help
Make the ratios equal. 9:25 = 36:?
Answers
The equivalent ratio of 9:25 is 36:100.
Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.
In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.
25 x 4 = 100
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Rachel is purchasing a condominium and is financing $485,000 with a 30-year 6/1 ARM at 4.95% with a 1/10 cap structure. What will her payments be at the beginning of year 7?
Answers
Answer: Rachel's payment will be $2,588.78
Step-by-step explanation:
Given that;
Loan amount L = $485,000
number of months n = 30 × 12 = 360
Interest rate per month C = 4.95 / (100 × 12) = 4.95/1200 = 0.004125
Now, using the formula
P = L[ c ( 1 + c )ⁿ / ( 1 + c )ⁿ - 1 )
we substitute
P = 485,000 × [ 0.004125 ( 1 + 0.004125 )³⁶⁰ / ( 1 + 0.004125 )³⁶⁰ - 1 )]
P = 485,000 × [ 0.01815619 / 3.4015 ]
P = 485,000 × 0.0053377
p = 2,588.78
Therefore, Rachel's payment will be $2,588.78
Answer:
$2845.65
Step-by-step explanation:
yurr
find the product(2k-4)(2k+4)=
Answers
Answer
(2k - 4) (2k + 4) = 4k² - 16
Explanation
We are asked to find the product of (2k - 4) (2k + 4)
To do this, we will use one of these to open the other.
(2k - 4) (2k + 4)
= 2k (2k + 4) - 4 (2k + 4)
= 4k² + 8k - 8k - 16
= 4k² - 16
Hope this Helps!!!
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
Answers
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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HELP PLS ASAPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: C; 5.32
Step-by-step explanation: If you are short $5.32, then that is represented as -5.32. The opposite of -5.32 is +5.32 or just 5.32. I hoped this helped!
-2x(x-7)
wrong answers only first answer gets brainliest+100 points
Answers
The answer is -2x² + 14X
How to calculate the expression ?The first step is to open the bracket by multiplying both values in the bracket by -2x
-2x(x-7)
= -2x² + 14x
Hence the solution to the expression is -2x² + 14x
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what is the area of the figure
Answers
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Which of the following are mathematical sentences?
Check all that apply.
Answers
Answer:
A, B, C, F
Step-by-step explanation:
they need to include an = sign
Answer:
Now you know the answer from my explanation.
Step-by-step explanation:
The one which is not a mathematical statement is that which does not evaluate to anything.. Doesn't have the equal to sign
Solve the following equation by factoring.
2x2−7x+3=0
Answers
Answer:
x=3
Step-by-step explanation:
Step 1: Factor left side of equation.
(2x−1)(x−3)=0
Step 2: Set factors equal to 0.
x−3=0
ANSWER:
x=3
I need help with this question
Answers
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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Please awnser asap I will brainlist
Answers
Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.
How many tickets of each kind has been sold?Let's solve the problem step by step.
Let:
x = number of $10 tickets sold
y = number of $20 tickets sold
z = number of $30 tickets sold
From the given information, we can form the following equations:
Equation 1: x + y + z = 3318 (Total number of tickets sold)
Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)
Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)
We can use these three equations to solve for the values of x, y, and z.
First, let's substitute Equation 2 into Equation 1:
x + (x + 109) + z = 3318
2x + 109 + z = 3318
2x + z = 3209 (Equation 4)
Now, let's substitute the value of y from Equation 2 into Equation 3:
10x + 20(x + 109) + 30z = 61760
10x + 20x + 2180 + 30z = 61760
30x + 30z = 59580
x + z = 1986 (Equation 5)
We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.
Multiplying Equation 4 by 30, and Equation 5 by 2, we get:
60x + 30z = 96270 (Equation 6)
2x + 2z = 3972 (Equation 7)
Now, subtract Equation 7 from Equation 6:
(60x + 30z) - (2x + 2z) = 96270 - 3972
58x + 28z = 92298
Simplifying, we have:
29x + 14z = 46149 (Equation 8)
Now, we can solve Equations 5 and 8 simultaneously:
x + z = 1986 (Equation 5)
29x + 14z = 46149 (Equation 8)
Multiplying Equation 5 by 14, and Equation 8 by 1, we get:
14x + 14z = 27804 (Equation 9)
29x + 14z = 46149 (Equation 8)
Now, subtract Equation 9 from Equation 8:
(29x + 14z) - (14x + 14z) = 46149 - 27804
15x = 18345
Divide both sides of the equation by 15:
x = 18345 / 15
x = 1223
Substituting the value of x into Equation 5, we can find z:
1223 + z = 1986
z = 1986 - 1223
z = 763
Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:
1223 + y + 763 = 3318
y + 1986 = 3318
y = 3318 - 1986
y = 1332
Therefore, the solution to the problem is:
x = 1223 (number of $10 tickets sold)
y = 1332 (number of $20 tickets sold)
z = 763 (number of $30 tickets sold)
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The mean length of 7 planks of wood is 1.35m. When an extra plank of wood is added, the mean length of a plank of wood increase to 1.4m. the length of the extra plank of wood that was added is Select one a. 2. 4 b. 1 C. 1.25 d. 1.75V
Answers
Answer: Hello There!................
Mean = Sum of observation / total number of observation
Mean = 1.35m
1.35 = Sum of length of 7 wood planks/ 7
1.35*7 = Sum of the length of 7 wood planks
9.45 = Sum of the length of 7 wood planks
Let the length of extra added wood plank = x
So,
(Sum of the length of 7 wood planks + x) / 8 = 1.4m
(9.45 + x) / 8 = 1.4
9.45 + x = 1.4 * 8
9.45 + x = 11.2
x = 11.2- 9.45
= 1.75
So,
The length of extra added wood plank = 1.75m
Step-by-step explanation:
Mark me brainest please. Hope this helps. Anna ♥
-3.6 divided by 2 1/7? please help my assignment is due soon
Answers
Answer:
the answer is -9/35
Step-by-step explanation:
imjustgonnaeritedmrandomletterssinceotsajdit has to be 20 characters long but yea thee answer is -9/35
Answer:
Step-by-step explanation:
-1.68 is your answer
fin the area if a rectangle 25 feet long by 8 feet wide
Answers
Answer:
220 squared feet
Step-by-step explanation:
ok so you said the length is 25 and the width is 8 so in area you have to multiply the sides together to get 220 square feet
which of these is not a linear graph.
Answers
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
