Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
The value of ab³ in simplified form is; -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
From the given values in the question we have;
a = -2 + 2i
b = -5i
Thus
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
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Amita's kitchen is rectangular with an area of 3 3 4 square meters. The width of the kitchen is 1 1 2 meters. What is the length, in meters, of Amita's kitchen?
Answer:
2 1/2 meters
Step-by-step explanation:
Amita's kitchen is rectangular with an area of 3 3 /4 square meters. The width of the kitchen is 1 1/ 2 meters. What is the length, in meters, of Amita's kitchen?
The formula for the area of a rectangle = Length × Width.
To find the length our formula becomes : Area/Width
In the question,
Area = 3 3/4 m²
Width = 1 1/2 m
Length of the rectangular kitchen
= 3 3/4 m² ÷ 1 1/2 m
= 15/4 m² ÷ 3/2 m
= 15/4 m² × 2/3 m
= 5/2 m
= 2 1/2 m
The length of the rectangular kitchen is 2 1/2 meters
Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
Step-by-step explanation:
C
The theorem that applies is Similar SAS.
The correct option is C.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given information:
SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.
From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.
To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:
SM/ DL = 27/9 = 3
MA/LE = 15/5 = 3
Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.
Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.
The answer is (C) Similar - SAS.
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Create a word problem where the expression is: 7f + 20
Answer:
A man is selling his old special dishes for 7 dollars each. You have to pay 20 dollars down for the case that holds the dishes no matter how many you buy.
A dog sitter makes 20 dollars just to bring their own leashes and food for dogs that they watch. They also make 7 more dollars per hour that they have to watch the dog.
Step-by-step explanation:
(–3i) (4i)(–5i)
a
60i3
b
60i
c
60
d
−60i
Answer: -60i
Step-by-step explanation:
(-3i) (4i) = -12i^2 = 12 because i^2 = -1
then lastly
12 (-5i) = -60i
Can you please help me
Answer:
2.12
Step-by-step explanation:
Answer:
I think 0.088 altogether I got 63.088 with tax
Step-by-step explanation:
Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answer:
$884.34
Step-by-step explanation:
$850.00*2%=$17.00
$850.00+$17.00=$867.00
$867.00*2%=$17.34
$867.00+$17.34=
$884.34
Answer: $850 x 2 = $1700.00
Step-by-step explanation: You just multiply 2 times $850 and you get your answer.
What are the four quadrants for graphing ???????
Plsssssssssssssss help me
Answer: its in the pic
Step-by-step explanation:
Answer:
for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3
What is the solution of the equation (x - 5)2 + 3(x - 5) + 9 = 02 Use u substitution and the quadratic formula to solve
Answer:
Did you know one-quarter of all your bones are located in your feet?
Step-by-step explanation:
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?
Answer:
10$ for an adult and 7$ for a child
Step-by-step explanation:
price for an adult = a
price for a child = b
2a + 4b = 48.............(i)
5a + 2b = 64.............(ii)
make a subject of the formula in equation (i)
2a = 48 - 4b
divide through by 2
a = 24 - 2b
Insert the value of a in equation (ii)
5(24 - 2b) + 2b = 64
120 - 10b + 2b = 64
collect like terms
- 8b = 64 - 120
-8b = -56
divide both sides by -8
b = 7
insert the value of b in equation(i)
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
divide both sides by 2
a = 10
The price for one adult is $10 while the price for one child is $7
credit goes to vintechnology
hope that helped :)
need help on answer b
Answer:
the answer is M=59
Step-by-step explanation:
58-14= 44
44 * 1 1/3 = 58.6666666667 = 59=M
hope this help and feel free to give brainiest
The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?
Answer:
yes
Step-by-step explanation:
yes
Hey guys happy holidays! any help is appreciated :)
Answer:
That is definitely C
happy holidays to you too
PLZ HELP ME PLZ I NEED IT
Answer:
Step-by-step explanation:
we see that when x = 0 the y = 7 so we already kno our y intercept is 7
then we can see that it decreases by 4 each time so our slope is -4x
now we just put that in equation form
y=-4x+7
hope this helps <3
I need help with this please
Answer:
All of the above
Step-by-step explanation:
Each postulate shows congruence in their respective triangles.
Please Help Me ASAP
what is X
Answer:
Simple!
Step-by-step explanation:
The triangle is obviously a right triangle, meaning, we can use the Pythagorean Theorem to solve for x!
(The Pythagorean Theorem is where [tex]a^2=b^2+c^2[/tex], or the length of the hypotenuse (side opposite to the 90 degree angle) squared is equal to the length of one leg squared plus the other leg squared).
To put it simply:
[tex]x^2=20^2+5^2[/tex]
Now to solve!
[tex]x^2=400+25\\x^2=425\\x=\sqrt{425} \\x=5\sqrt{17}[/tex]
This cannot be simplified further, so that's your answer!
Hope this helps!
2) Jarrah needs no less than $159 to purchase a new guitar. He already has $38 in his savings account. He
has a plan to rake and bag leaves in his neighborhood to make more money. He decides to charge $5 a
bag. What is the minimum number of full bags of leaves that Jarrah needs to rake in order to have
enough money to buy the guitar? Show your work/thinking.
Answer: Jarrah has to rake 25 bags.
Step-by-step explanation: Jarrah
Jarrah needs to get $159 dollars, right? Well since he already has $38, we just need to subtract 159 and 38. 159-38 is 121. (121 is how much heneeds )Each bag raked costs $5, and 5 can't go into 121, so it's best to have more than less. Multiply 5 and 25, and you will get $125. That is more than enough, you cannot do 5x24 because it would be 120, which is too low. Therefore, Jarrah needs to rake 25 bags.
I don’t get this can anyone help I would be appreciated
Answer: Graph the line using the slope and the y-intercept, or the points. Slope: 1 3 13 y-intercept: ( 0 , 3 ) (0,3) x y − 9 0 0 3
There are more than 3 gallons of gas in Berk’s car.
g > 3
A number line going from 2 to 5. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 2 to 5. A closed circle is at 3. Everything to the right of the circle is shaded.
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Answer:
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Step-by-step explanation:
If it is < or > there will be an open circle
If it is ≤ or ≥ there will be a closed circle
On a number line the numbers get larger the more it goes to the right
Answer:
the answer is c
Step-by-step explanation:
the other guy is right he just made his answer really long.
I WILL GIVE BRAINLISTJUST PLESE HELP ME!!!!!!!
#1 False #2 True #3 False #4 True #5 True
solve for x. please please help me asap!!!! thank you!!! *will give brainliest of course*
Answer:
( A ) 1.365
Nice to see you again :)
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Explanation:
Start at a point like (0,2) which is on the blue f(x) line.
Move upward until you reach the red g(x) line. You should move up 3 units. Every point on f(x) follows the same pattern to land on a corresponding point on g(x). Therefore, this moves the entire blue line up 3 units.
This leads to k = 3
So g(x) = f(x) + 3
Answer: 3
Step-by-step explanation: This is because I took the test and because if you look at the graph its on 5 and 2. An easy way to look at it is what is 5-2 but you'd have to figure out what the answer was first. Between 5 and 2 is 3. Hope this helped!
which is another way to write 42 + 63?
Answer:
B
Step-by-step explanation:
The sum of 42 + 63 is equal to 105.
B is the only answer that matches the sum of 42 and 63.
7 * 15 = 105
:3))
pls answer will mark brainliest
Answer:
40 square cm
Step-by-step explanation:
Answer:40 square cm
Step-by-step explanation:
can anyone help? i’m so bad at math lol
i’ll give brainlest
Hi! This is more simple than you think!
Whenever there is a negative exponent, your answer automatically turns into a fraction no matter what!
Your answer is C!
[tex]\frac{1}{5^{2} }[/tex]
I wish you the best of luck on the rest of your problems! Keep what I said in mind next time you see a negative exponent !
:)
how do i solve 9 divide by 1.034 in whole number form
Answer:
it would be rounded to 9
Step-by-step explanation:
sense this is the answer 8.704061896 you ought to round then again im not perfect if posable you should try 9 first if its wrong then try 8
Geometry...Please help as soon as possible please and Thank you so much!
Answer:
Step-by-step explanation:
Statement1. ∠KJL ≅∠LMK (A)
Reason1. Given
Statement2. ∠JKL≅∠MLK (A)
Reason2. Given
Statment3. KL≅KL (S)
Reason3. Reflexive propriety
Statemnt 4. ΔJKL≡ΔLMK
Reason 4. AngleAngleSide congruency theorem
A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?
Answer:
They won 2/3 of the games, or about %66 percent.
Step-by-step explanation:
There is a total of 30 games played, becuase 20+10 is 30, and they won 20 out of 30 of the games. or 20/30. You then divide 20/30 and you will get .6666 which is 66%.
Answer:
30 %
Step-by-step explanation:
20×10=30
Or
20+10=40
which number has the greatest absolute value? 11,8, -14, -3.
Answer:
11
Step-by-step explanation:
It is a whole number and a postive integer
Answer: -14
Step-by-step explanation:
will mark brainliest
ONE question with picture included^^^^
Answer:
The third option is wrong becuase x isn't a defined variable, and they specified that the book must be at least 250 pages, which means that it can't be less.
Josh made $242 for 11 hours of work.
At the same rate, how much would he make for 7 hours of work?
Answer:
If 11hrs= $242
7hrs=7x242/100
154
Josh will made $154
Step-by-step explanation: