The expression is in the form of a+bi where a,b ∈R. where, a = [tex]\frac{29}{5}[/tex]and b = [tex]\frac{-41}{5}[/tex] therefore, The complex number is [tex]\frac{29}{5}[/tex] [tex]-\frac{41i}{5}[/tex].
Given expression is:[tex]\frac{(i+2)(i-3)((1+2i)(3+i))}{(-2+i)}[/tex]
To simplify the above expression, first, we need to expand all the terms in the brackets which are given above.
We get,= [tex]\frac{(i^{2} - i*3 + 2i - 6) * (3 + i + 2i + 2i^{2} )}{(-2+i)}[/tex]
We know that i² = -1 and i²² = 1 and i*3 = 3i.
Therefore, the above expression becomes=[tex]\frac{(-1 -3i + 2i - 6) * (3 + i + 2i - 2)}{(-2+i)} =\frac{(-7 - i) * (5 + 3i)}{(-2 + i)}[/tex]
Now, we need to simplify the above expression by multiplying the numerator and denominator by the conjugate of the denominator.
Conjugate of -2 + i = -2 - i
Therefore, the expression becomes=[tex]\frac{(-7 - i) * (5 + 3i)*(-2 - i)}{((-2 + i)*(-2 - i))} = \frac{(-7 - i) * (5 + 3i)*(-2 - i)}{(4 + 1)} = \frac{(29 - 41i)}{5}[/tex]
The expression is in the form of a+bi where a,b ∈R. where, a = [tex]\frac{29}{5}[/tex]and b = [tex]\frac{-41}{5}[/tex]
Therefore, The complex number is [tex]\frac{29}{5}[/tex] [tex]-\frac{41i}{5}[/tex].
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What is the slope of the line through (-1, 8) (3, -4)
Answer:
D. -3
Step-by-step explanation:
I need help please.
Solve for x in -14x⁴ - 8x³ = 32
Answer:
No solutions
Step-by-step explanation:
There can be no solutions to your question
pleas help. 10 pointssss
Answer:
6
Step-by-step explanation:
Pls help i'm lost il give brainly
Answer:
a= 16
b= -8
c= 6
d= -16
e= -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
A= 16 degrees
B= -8 degrees
C= 6 degrees
D= -16 degrees
E= -4 degrees
Multiple choice: which function has an amplitude of 5 and a period of π/3 ?
A) f(x)=5 cos 6x
B) f(x)=1/5 cos6x
C) f(x)=5 cos 2/3 x
D) f(x)=3 cos5x
The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.
The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.
Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.
Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.
Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.
Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.
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a pack of candy bars has 6 bars. Each bar weighs 3.86 ounces. How much does the pack weigh?
Answer:
23.16 punces
Step-by-step explanation:
6x3.86=23.16
Answer: 23.16 ounces
Step-by-step explanation:
If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16
*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds
Pls help ASAP In the triangle below, what is the measure of AngleZ?
Answer:
50 degrees is the answer
HELP I GOT THIS WRONG AND IM NOT SURE WHICH IS CORRECT. Thank you!!
Answer:
Its Alternate Exterior Angle Theorem.
Step-by-step explanation:
One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.
Answer:
the answer is actually study and you would know
Step-by-step explanation:
Answer:
3 and 19
Step-by-step explanation:
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Answer:
Ava swam 203 more miles
Step-by-step explanation:
357-154=203
Can someone help me how to do this task please?
A game-show spinner has these odds of stopping on particular dollar values: 40% for $5, 25% for $100, 20% for $500, and 15% for $1000. What are the odds of a player winning $5 or $100?
Answer:
13÷ 23
Step-by-step explanation:
The computation of the odds of player winning is shown below;
For $5 it is 40%
And, for $100 it is 25%
so for total it is
= 40% + 25%
= 65%
And, the total percentage is 100%
So, the odds in favor is
65:100
13:20
Now for winning it would be 13÷ 23
What inequality is represented by this graph? 1 7 9 OXSA Xc6
Answer:
OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS
When a baby Giraffe was born it weight 150 Pounds over the next 5 years it gained Equal amounts of weight each year. The Giraffe now weight 675 pounds. How much was the weight gain per year?
Answer:
135 per year because 675 ➗ 5 = 135
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
F
Step-by-step explanation:
answer:
shape f !
step-by-step explanation:
hi there!
the question is asking us which shape matches shape a right, now if we look closely we already know that shapes d and b look like they match each other rather then shape a
shape a - 2, 2, 4
so they are out of the equation ( checking how long the sides are )
shape d - 3, 3, 3
shape b - 3, 3, 3
shapes e and c look like they match each other but just to make sure, i counted how long the each side was for both of them
( going by blocks )
shape c - 2, 3, 4,
shape e - 2, 3, almost 5
which does leave us left with shape f, but just to make sure.. lets count it!
shape f - 2, 2, 4,
which is the same numbers that shape a has!
shape f = shape a
hope this helps you!! and if i made a mistake reading the problem or doing the problem then please tell me :) have a good day
HURRY IM TIMED!!!
Use this formula to solve this word problem. d=r*t Carolina wants to travel on a new maglev in Japan when she takes a trip this summer. If she takes the latest model which travels 352 mph, and it takes her 3.2 hours, how far did she travel? a. 112.6 miles c. 110 miles b. 1126 miles d. none of these
Answer:
352 mph
Step-by-step explanation:
cuz I'm super smart
Answer: 1126.4
Step-by-step explanation:
Rate times time, takes her 3.2 hrs and she travels 352, 3.2 times 352 is 1126.4
Bob has $2,500 in a savings account that earns 3 % annually. How much will he earn in interest in 1 year?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
Answer:
the answer is 2575 I believe
Step-by-step explanation:
(2500x3x1/100)
(2500+75)
2. Find the GCF of: - 4x^2 and 28x^3
Answer: 4x^2
Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3
Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start
Answer:
2:21 pm
Step-by-step explanation:
Finished 4:12
He spent 1 hour and 33
4:12 - 1 hour 33
minus the hour
3:12
minus 33
12-33
2:21pm
What is the area of the figure?
A.)24 square inches
B.)28 square inches
C.)45 square inches
D.)55 square inches
Answer:
24 square inches
Step-by-step explanation:
Based on the diagram or figure given, The area of the figure is known to be 24 square inches.
What is the area of a figure?The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.
Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The area of the figure is known to be 24 square inches.
Learn more about area from
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22yd 14 yd into square yards
Answer:
29.33
I thinks that right... lol :D
Forgive me if it wrong :(
Step-by-step explanation:
That is equivalent to 308 square yards. You can verify it on this website https://www.inchcalculator.com/square-yards-calculator/.
Investigate the parent function for y = x^2. Refer to the previous slide. Make sure a = 1, h = 0, and k = 0.
1. Parent Graph Name:
2. Parent Equation:
3. Interesting properties:(infection point, endpoints, maxima/minima, etc.
NOT A MULTIPLE CHOICE
9514 1404 393
Answer:
y=x^2 parent functiony=x^2vertex (minimum) at (0, 0); end behavior (-∞, ∞) and (∞, ∞)Step-by-step explanation:
1. You can call the graph whatever you like. Since you're graphing the parent function y=x², you might want that in the title.
__
2. The problem statement tells us we're graphing y = x².
__
3. The quadratic function has one turning point on the axis of symmetry. The turning point for the parent function is its vertex at (0, 0). This point is a minimum, because the parent function has a positive coefficient.
The function is even degree with a positive leading coefficient, so the end behavior tends to +∞ for x going to either -∞ or +∞.
_____
Additional comment
If we're to "refer to the previous slide", it would be nice to be able to see that slide. As is, we're guessing at what the question is really after. The basic y=x^2 function will have been studied first thing when nonlinear polynomials are introduced. This should all be very elementary stuff.
3/11 ÷ 3/11
what is the answer pls tell me
Answer:
1 is the answer.
(According to me)
Hope it helps!!!
Look at this square. Find the value of s.
Perimeter = 4 kilometers
S =
kilometers
Answer:
equivale 15. kilómetros. te lo aseguiro
Find the length of “c” to the nearest tenth using the Pythagorean Theorem.
NO BOTS
Answer:
10.6
Step-by-step explanation:
you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6
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“Finding side lengths and angle measures of isolceles and equilateral triangles”
help pls !
Answer:
a) 100
b) 7
Step-by-step explanation:
Remember that angle measurements correspond to side lengths. This also means that if two sides or angles are congruent, then the angle or side opposite of them will also be congruent. For example, in part a two sides are both 6. This means that the angles opposite of them are also both 40. Finally, to find <K subtract 80 (because that is 40+40) from 180. Therefore, the answer is 100 degrees.
Next, remember that the markings on the angles in part b mean that the angles are congruent. Since all the angles are congruent, the sides must be as well. So HI=7.
Select all the problems that can be solved by finding 4 x 5.
A- Harold had 5 quarters. He used 4 quarters to buy a pen. How many quarters
does Harold have left?
B -Alice put 4 quarters in each of 5 stacks. How many quarters did Alice have?
C -Kim bought 4 notebooks for a total of $5. How much did each notebook cost?
D- Kurt bought 4 books for $5 each. How much did he pay for all of the books?
E- Jen made 5 necklaces. She put 4 beads on each necklace. How many beads
did she use in all?
F- Matthew scored 5 baskets in his first basketball game. He scored 4 baskets in
his next game. How many baskets did Matthew score in these two games?
Answer:
answers b, c, d, and e are all correct
Answer:
B, D and e
please mark me brainliest
PLEASE ANSWER FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Jeff wants to form a garden that is in the shape of a triangle. He has two lengths of fence that are 19 feet long and 12 feet long. He says he will be able to form a triangular garden with a third length of fence that is 8 feet long. Is Jeff correct or incorrect in his reasoning? Explain.
Answer: Jeff is correct.
Step-by-step explanation:
The sum of the two sides of the triangle must greater than the longest side, which in this case, the longest side is 19 feet.
8 + 12 ? 19
20 > 19
Therefore, Jeff is correct.
PLS ANSWER ASAP! Only answer if you are sure that it is correct & no links or i will report you