Answers
Answer:
a,c,d
Step-by-step explanation:
[tex]a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9[/tex]
e.
[tex]2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4[/tex]
Related Questions
X + 9 = 7
How do you move the constant to the right side and change it’s sign
Answers
Step-by-step explanation:
X + 9= 7
get x by itself you -9 on both sides
X + 9 = 7
- 9. -9
X = -2
You can throw the X to the right side and change to -X
9 = 7 - X
OR You can add both sides with -X
X + 9 - X = 7 - X
9 = 7 - X
Then you can do the same with 7 by throwing it to the left side and get -7
9 - 7 = - X
2 = - X
Now throw the -1 to the left side ( -X = -1X )
2(-1) = X
X = -2
Julio says, "if you subtract 14 from my number and multiply the difference by -2, the result is -42." what is julio's number?
Answers
Answer:
let the number is x
-2(x-14) = -42
-2x + 28 =-42
-2x = -70
x= 35
Step-by-step explanation:
A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34
Answers
Answer: 31, hope this helps❤
Step-by-step explanation:
If f(4) = 22, then the value of f(1) is 31.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Given a sequence defined as,
f(n + 1) = f(n) - 3
Given,
f(4) = 22
We know from definition,
f(4) = f(3) - 3
So, f(3) = 22 + 3 = 25
Similarly,
f(2) = 25 + 3 = 28
f(1) = 28 + 3 = 31
Hence the correct option is 31.
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6/10= x/15 Whats is the x?
Answers
Answer:
9
Step-by-step explanation:
Step 1:
6/10 = x/15
Step 2:
10x = 90
Answer:
x = 9
Hope This Helps :)
Answer:
x=9
Step-by-step explanation:
6/10 =x/15
10x =15 ×`6
10x =90
x=90 :10
x=9
When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?
Answers
The ratio table below shows the number of eggs per omelet.
Omelets
Number of eggs
Number of omelets
18
?
9
3
6
2
3
1
How many omelets can be made with 18 eggs?
4
6
9
12.
Answers
Answer:
B(6
Step-by-step explanation:
The number of omelets made by 18 eggs will be 6. The correct option is B.
What is the ratio?
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.
The number of eggs required to make the number of omelets is given in the tables as:-
omelets eggs
? 18
3 9
2 6
1 3
The ratio of omelets and egg is calculated as:-
omelets: egg = 3 : 9
omelets: egg = 1:3
The number of the omelets made by 18 eggs will be calculated as below:-
omelets: egg = 1:3
omelets: 18 = 1:3
omelets = 18 x ( 1 / 3 )
omelets = 6
Therefore, the number of omelets made by 18 eggs will be 6.
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(30 points) find the measure of each lettered angle a= b= c= d= e= f= g= h= i=
Answers
Answer:
a=90 b=90 c=90 d=148 e=32 f=148 g= 122 h=58 l=122
Step-by-step explanation:
a is supp. to 90 degrees, therefore it is 90 (180-90)=90.
b and c are vertical angles, therefore they are the same as the angle directly across from them
d is supp. to 32 degrees, therefore it is 148 (180-32)=148
e and f are vertical angles, therefore they are the same as the angle directly across from them
g is supp. to 58 degrees, therefore it is 122 (180-58)=122
h and l are vertical angles, therefore they are the same as the angle directly across from them
The length of segment AB is 10 cm
If you draw a point halfway between A and B and label the point C, what is the
length of AC?
Answers
Answer:
Step-by-step explanation:
The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.
what is the slope of a line that passes through (-4,1) and (5,2)
Answers
Which statement is NOT true? *
A. Every integer is a real number.
B Every counting number is an integer
C Every integer is a rational number
D Every decimal number is an irrational number.
Answers
Answer:
D. Every decimal number is an irrational number.
Step-by-step explanation:
As long as a decimal repeats or terminates, it is a rational number.
If 2x-1 = 13, evaluate the expression below. -x^2-4x
Explain please.
Answers
Answer: -77
Step-by-step explanation:
2x - 1 = 13
Add 1 on both sides
2x = 14
x = 7
Substitute x to 7
-(7)^2 -4(7)
Solve
-49 - 28 = -77
Answer:
-77
Step-by-step explanation:
-x^2-4x to [tex]-7^{2}[/tex]- ( 4 × 7)
-7^2 - ( 4 × 7)
-49 - ( 4 × 7)
-49 -28
=
-77
If the top of Mt. Everest is 29,035 ft and Death Valley in California at it's lowest point is negative 282 ft. What is the difference between the top of Everest and the bottom of the Valley?
Answers
Answer: 29317
Step-by-step explanation:
What is this called? I’m trying to look up a video on how to do these.
y = - 7/2x -4
Answers
Answer:
linear equations, only when it is y=(equation with an x
variable)) or x=(equation with an y
variable), usually you tend to graph these.
An airplane takes off over flat area when it is 2500' above the Earth it has covered 3000' on the ground how many feet approximately has it flow through the air
Answers
Answer:
3905.12 feet
Step-by-step explanation:
we can form a triangle in order to use the Pythagorean theorem: a² + b² = h²
where:
a = distance covered on the ground
b = height above the Earth
3000² + 2500² = h²
h² = 9000000 + 6250000 = 15250000
h = √15250000
h = 3905.12 feet
What is the exact number of hundreds in 4,575?
Answers
Answer:
45
Step-by-step explanation:
3rd from the left and over r considered 100s
Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture
Answers
Answer:
Last option
Step-by-step explanation:
Step 1: Write out equation
x² + 8x - 10 = 0
Step 2: Add 10 to both sides
x² + 8x = 10
Step 3: Complete the Square
x² + 8x + 16 = 10 + 16
(x + 4)² = 26
Step 4: Square root both sides
x + 4 = ±√26
Step 5: Subtract 4 on both sides
x = -4 ± √26
one third of one seventh of a land is sold for RS. 30000.What is the value of land?
Answers
Answer:
Step-by-step explanation:
Let the value of the land = Rs . 30000
[tex]\frac{1}{3}of\frac{1}{7}of x = 30000\\\\\\\frac{1}{3}*\frac{1}{7}*x = 30000\\\\\\x = 30000*\frac{3}{1}*\frac{7}{1}\\\\\\[/tex]
x = Rs. 630000
What is 5x-(3+7)=9+2(x-8)
Answers
5x-10＝2x-7
5x-2x＝-7+10
3x＝3
X＝1
Answer:
x= 1
Step-by-step explanation:
5x - (3+7)=9+2(x-8)
Add the numbers 3 + 7= 10
5x - 10= 9 + 2(x-8)
Expand 9 + 2(x-8): 2x - 7
5x - 10 = 2x - 7
Add 10 to both sides
5x -10 + 10 = 2x -7 + 10
Simplify 5x = 2x + 3
Subtract 2x from both sides
5x -2x = 2x + 3- 2x
Simplify
3x = 3
Divide both sides by 3
3x/3 =3/3
Simplify
x= 1
Perform matrix subtraction to find the values of w,
x, y, and z.
Answers
Answer:
w = ⇒ 21
x = ⇒ 13
y = ⇒ -11
z = ⇒ -16
Step-by-step explanation:
The value of the matrix will be [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
What is the matrix?A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.
[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
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4 subtracted from twice w, the result is 20 more than w. Find w
Answers
Answer:
w = 24
I hope this helps!
Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.
Answers
Answer:
23
Step-by-step explanation:
Let the mean also is x
Mean = Sum of all observations / Total no of observations
x = 30 + 12 + 40 + 10 + x / 5
5x = 92 + x
4x = 92
x = 23
Therefore 23 is the mean and also one of the numbers.
The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
Mean = sum of data / Number of data
It is known that,
Mean = sum of data / Number of data
x = (30 + x + 12 + 40 + 10)/5
5x = x + 92
4x = 92
x = 23
Hence "The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23".
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2(w-9)=5w+6+w i need help on this question?
Answers
Answer:
w=-6
Step-by-step explanation:
2(w-9)=5w+6+w
multiply 2 to the (w-9), also add the 5w to the other w
2w-18=6w+6
subtract 2w to 6w
-18=4w+6
subtract 6 to -18
-24=4w
divide 4 to -24
THE ANSWER IS -6
A new computer game costs $32.50. Find the cost with tax if the tax is
7%. Round to the nearest cent. *
*
Answers
Answer:
$34.78
Step-by-step explanation:
...............
What are these fractions in order from greatest to least?:
6/9,5/6,5/7,4/5
Answers
4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-
!!!!!!!!!!!!!!!!!!!
Answers
Answer:
31=1/1
33=1/1
30=3/10
3-=-3
Step-by-step explanation:
A parent volunteer group is raising money by making custom hats to sell at school activities they plan to sell the hats for $11 each hat costs $5 to make they spent $50 advertising
Answers
Answer:
(11 - 5)n - 50Step-by-step explanation:
Cost of 1 hat = $5Selling price = $11Advertising = $50Let the number of hats be n. Then money made is
Profit for each hat:
(11-5)Profit for n hats
(11 - 5)nDeduct cost of advertisement - 50
(11 - 5)n - 50Option C is correct
where is sandy mistake ive been trying for 30 mintues and still cant find it im not very good at math please help
Answers
Answer:
Sandy did not follow PEMDAS and added first instead of doing her multiplication and division and then her addition and subtraction the answer would be 18
Which expression represents the following number line?
+++++++++
-8-7-6-5-4-3-2-1012
0-6+3 = 3
6+3=3
0-6-3= -3
3-6-3
Help ASAP
Answers
What is the first step of the following division problem?
(8x3 – x2 + 6x + 7) ÷ (2x – 1)
Divide 8x3 by 2x.
Divide 2x by 8x3.
Divide 6x by 2x.
Divide 2x by 6x.
Answers
Answer:
Divide 8x^3 by 2x
Step-by-step explanation:
Here, we want to identify the first step to take in the polynomial division.
When working with a polynomial division, what to do is to divide the first term of the dividend by the first term of the divisor ( the divisor is arranged in descending powers of x)
The number we want to divide is the dividend, while the number we are using to divide is the divisor.
In this case, the first term of the dividend is 8x^3 while that of the divisor is 2x
The first step of the following division problem is to divide 8x³ by 2x
How to divide polynomialsGiven:
(8x³ – x2 + 6x + 7) ÷ (2x – 1)
(8x³ – x2 + 6x + 7) is the divided
(2x – 1) is the divisor
Dividend is number or expression that is to be divided by anotherDivisor is the number which is used to divide another.The first step in the be division of polynomial is to divide the first term of the bc dividend by the first term of the divisor.
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