Hello someone help me please
Answer:
B. -1/3
Step-by-step explanation:
replace x with 34 and solve it.
multiply each pair of factors. type the product in the space provided
(6+3i)(6-3i) =______
(4-5i)(4+5i)=_______
(-3+8i)(-3-8i)=______
After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73
What is complex number?The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.
where a is real part and b is imaginary part, the value of i is √-1.
i × i = -1
i⁴ = 1
Given that, pair of complex numbers
(6 +3i )×( 6 - 3i) = 6×6 -6×3i + 6×3i - (3i × -3i)
= 36 - 18i + 18i + (-3i × 3i)
= 36 + 9
= 45
(4-5i) × (4+5i) = 4×4 + 4×5i - 4×5i - (5i × -5i)
= 16 - 20i + 20i + (-5i × 5i)
= 16+25
= 41
(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)
= 9 +24i-24i +64
= 73
Hence, The result of products are 45, 41, 73
To know more about complex number check:
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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73
Step-by-step explanation:
Helppppp I promise I won’t ask anymore questions but someone pls help meee.
List 3 Equivalent Fractions
Answer:
1/2 2/4 4/8
Step-by-step explanation:
if you walk 1.5 hours at 3mph, how fast shoukd you run in the next 0.5 hours to have the average speed of 4mph
Answer:
avg speed= total distance / total time
total time= 0.5+1.5= 2 h
d1= v1 t1=1.5×3=4.5
d2=v2t2
v2=x...let
d2=0.5x
atq....4.5+0.5x/2= 4
4.5+0.5x=8
x= v2=7mph
Answer:
7 mph
Step-by-step explanation:
simplify 3 3^square root of 16
Answer:
2.5198421 is yhe answer of 3^√16
A bag contains nickels, dimes and quarters having a value of $3.75. If there are 40 coins in all and 3 times as many dimes as quarters, how many coins of each kind were there?
PLZ HELP.
Answer:
13 each
Step-by-step explanation:
40/3= 13.3
Determine if the table is linear or non linear
-9,-7
-6,-7
-1,2
14,16
Answer:
I plot the points to a graph but I don't have access to a 14 I only have a 10 grid graph but I was able to plot the other points this is wht I got
Step-by-step explanation:
let me know if u can't see it..... I would say it's nonlinear
What does Luffy from One Piece like better?
A). Meat
B). Attacko
C). Sleep
D). Yell
E). Luffy is uncapable of thinking which one is better
eㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
watch wonder egg priority & sk8 Infinity
on 4anime dot to
Answer:
Meat
Step-by-step explanation:
The only thing he can practically think about is Meat, Pirate King, and his pirate crew.
Find the sum of the following values in base 4. 20304 + 10334
Answer:
Aqua para chica gamer? te sirve?
A quantity with an initial value of 7800 decays continuously at a rate of 0.1% per hour. What is the value of the quantity after 1.25 days, to the nearest hundredth? please help
Answer:
7569.36
Step-by-step explanation:
Given that a quantity with an initial value of 7800 decays continuously at a rate of 0.1% per hour. What is the value of the quantity after 1.25 days,
First convert 1.25 days to hours
1.25 × 24 = 30 hours
Using exponential equation
N = No ( 1 - R% )^t
Where N = new value of the quantity
No = initial value
R = rate
t = time
N = 7800 ( 1 - 0.001 )^30
N = 7800 ( 0.999 )^30
N = 7800 × 0.97043
N = 7569.36154
N = 7569.36 to the nearest hundredth.
Therefore, the value of the quantity after 1.25 days is 7569.36
Answer:8176.99
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the points (1, 4) and(4, 10)
HURRY
Answer:
Step-by-step explanation:
(10 - 4)/(4 -1)= 6/3= 2
y - 4 = 2(x - 1)
y - 4 = 2x - 2
y = 2x + 2
How many of these pitchers can a cylinder with height 9 inches and 2r fill? Explain how you know.
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
A rental car company charges $38.38 per day to rent a car and $0.14 for every mile driven. Camden wants to rent a car, knowing that: He plans to drive 350 miles. He has at most $270 to spend. Which inequality can be used to determine xx, the maximum number of days Camden can afford to rent for while staying within his budget?
Answer:
5.75 days
Step-by-step explanation:
Given data
let the number of days be x and the number and the number of miles be y
so that the cost of the rental will be
c= 38.38x+ 0.14y---------1
we are told that the amount at hand is $270
hence
270=38.38x+ 0.14*(350)
solve for x
270= 38.38x+49
270-49= 38.38x
221= 38.38x
divide both sides by 38.38
x= 221/38.38
x= 5.75 days
Hence the number of days is 5.75 days
Can someone help me with this
Answer:
The equation for your graph is Y=2x+1
A photocopier is purchased for $5200 and depreciates in value by 15% per year. Which equation best describes the value of the photocopier in years? O.A. y=5200(1.15) OB. y = 5200(0_15) - O cy= 5200(1.85) ODy=5200(0.85)"
Answer:
y=5200(0.15)^t
Step-by-step explanation:
this is the answer y=5200(0.15)^t
shopkeeper mixes 60 kg of sugar worth rupees 30 per kg with 90 kg of sugar worth rupees 40 per kg at what rate he must sell the mixture to gain 20%
Answer:
Your answer......6480 Rs
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Which one is the correct answer please
Use the Distributive Property to rewrite this algebraic expression.
6(11 + x)
I seem to be stuck on these few questions, could anyone help me?? ty
Answer:
4x
3x
Step-by-step explanation:
1.)
we see that when x=0 y=0 which means that our equation
y=mx+b
b=0
(this is shown if we plug in 0 for x)
0= 0x+b
0=b
Next, we notice that each time it's increasing by four which means our slope is just 4
the answer is 4x
The y intercept (or b) is the same deal as question one
we can also see that when x=1 y=3 which means that
3=x+0
3=x
our slope is 3
$21,000 at 3% for 3 years
Answer:
okay I guess????? go brrrr arf
In a right triangle, the shortest leg is 15 centimeters, and one angle equals 30 degrees, what is the length of the
hypotenuse?
Answer:
30
Step-by-step explanation:
This is a 30 60 90 triangle. Since it tells us it a right triangle (which means it has a 90 degree angle). Also it tells us that there is a 30 degree. Using the triangle interior theorem, the third angle is a 60 degree
angle
The longest side or hypotenuse is twice the length of the shortest side. So the hypotunes is 30.
find the area of this circle and I'll give you brainliest!!
Answer:
572.555
Step-by-step explanation:
A=Πr²
A=3.14×13.5²
A=572.555
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https://brainly.com/question/21476166
Answer:
okay bro, but I need some time
Answer:
72
Step-by-step explanation:
.75x96=72
its a right triangle 20ft and 24ft?
Answer:
a triangle, I'm guessing 20ft and 24 ft on the outsides,
would be:
Equation to get the area of a triangle: (A*B)/2
(20*24)/2=Area
20*24= 480
480/2= 240
area= 240
Answer: 240 ft²
Step-by-step explanation:
1. Multiply the base and the height.
2. Divide the product you get by 2.
=> 20 * 24 = 480
=> 480 / 2 = 240
3+2x=-4
solve for X and how did u get it. Pls help!
Answer:
1
Step-by-step explanation:
I did it in the calculator
Answer:
-7/2
Step-by-step explanation:
PLEASE I NEED HELP
CAN YOU SOLVE AND GIVE AN EXPLANATION FOR THIS PROBLEM
4. Perry the platypus is swimming in a straight line toward shore and has a speed of 0.50 m/s. After 4.0 s, his speed is 0.8 m/s. What is Perry's average acceleration?
Answer:
After calculating, your answer should be:
(0.80-0.5 m/s)/(4.0 s) = (0.075 m)/s^2
I hope this helps you! (This was for the 100 point brainly thing you said you wiuld give me 100 points?)
Help me pls... Thnx!
Given:
First term of a geometric series = a
Common ratio of the geometric series = [tex]\sqrt{3}[/tex]
To prove:
[tex]S_{10}=121a(\sqrt{3}+1)[/tex]
Solution:
The sum of first n terms of geometric series is
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting n=10 and [tex]r=\sqrt{3}[/tex] in the above formula, to get the sum of 10 terms.
[tex]S_{10}=\dfrac{a((\sqrt{3})^{10}-1)}{\sqrt{3}-1}[/tex]
[tex]S_{10}=\dfrac{a(243-1)}{\sqrt{3}-1}[/tex]
[tex]S_{10}=\dfrac{242a}{\sqrt{3}-1}[/tex]
Rationalizing the denominator, we get
[tex]S_{10}=\dfrac{242a}{\sqrt{3}-1}\times \dfrac{\sqrt{3}+1}{\sqrt{3}+1}[/tex]
[tex]S_{10}=\dfrac{242a(\sqrt{3}+1)}{(\sqrt{3})^2-1^2}[/tex]
[tex]S_{10}=\dfrac{242a(\sqrt{3}+1)}{3-1}[/tex]
[tex]S_{10}=\dfrac{242a(\sqrt{3}+1)}{2}[/tex]
[tex]S_{10}=121a(\sqrt{3}+1)[/tex]
Hence proved.
an = - 10+5n : find the 21st term in the sequence
Answer:
Step-by-step explanation:
a₂₁ = -10 + 5(21) = 95
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Answer:
1. 40
2. 124
3. 160
Step-by-step explanation:
1. 12x - 20 = 60 - 20 = 40
2. 12x - 20 = 144 - 20 = 124
3. 12x - 20 = 180 - 20 = 160
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9514 1404 393
Answer:
ML = 7.5
Step-by-step explanation:
The parallel lines divide the transversals proportionally.
ML/LK = JH/HG
ML/10 = 6/8
ML = 10(6/8) = 7.5
The length of ML is 7.5.
__
We don't need to solve for x. If ML = x-2, then x=9.5.