Figure A is a scale image of Figure B. What is the value of x?
Answer:
good day of school and➕➕ I have a great day of school and I have a great day☀☀☀ of school and➕➕ I
Question 7 of 10
Which of the following graphs shows a positive linear relationship with a
correlation coefficient, r, close to 1?
A.
B.
c.
D.
*
A. Graph A
B. Graph B
C. Graph
O D. Graph D
Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question
Answer:
45Step-by-step explanation:
The conjugate of the given is:
( - 6 - 3i)Find their product:
(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9
Answer:
See belowStep-by-step explanation:
1. c increased by 5 is 5 ⇒ h. c + 5 = 5 2. 4 more than a number is 12 ⇒ b. n + 4 = 12 3. The product of 4 and n is 12 ⇒ i. 4n = 12 4. The difference of 27 and k is 15 ⇒ a. 27 - k = 155. 8 less than 3 times x is 10 ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20 ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3 ⇒ e. k - 8 = 3 8. Three times a number is 9 ⇒ j. 3n = 99. Twice a number plus 1 is 11 ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5 ⇒ c. c - 6 = 15if z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank
[tex]z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill[/tex]
The value of z1/z2 is √18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).
What is complex number?"A complex number is the sum of a real number and an imaginary number and it is of the form x + iy and is usually represented by z".
For the given situation,
z1= 3+3i and
z2= 7(cos(5π/9) + i sin (5π/9))
To divide the complex numbers, both should be in same form.
Convert z1 in polar form.
z is of the form x+iy, so, r=[tex]\sqrt{x^{2}+y^{2} }[/tex]
⇒[tex]r=\sqrt{3^{2}+3^{2} }[/tex]
⇒[tex]r=\sqrt{18}[/tex]
θ = [tex]tan^{-1}(\frac{b}{a} )[/tex]
⇒[tex]tan^{-1}(\frac{3}{3} )[/tex]
⇒[tex]tan^{-1}(1)[/tex]
⇒[tex]45[/tex]°
The polar form is of the form, z= r (cosθ + i sinθ),
⇒ z1 = [tex]\sqrt{18}[/tex] (cosπ/4 + isinπ/4)
The formula for dividing complex number is
z1/z2 = r1(cos θ1 + isin θ1) / r2(cos θ2 + isin θ2)
⇒ z1/z2 = r(cosθ + isinθ)
where, r = r1/r2 and θ = (θ1 - θ2)
z1/z2 = [tex]\sqrt{18}[/tex] (cos π/4 + isin π/4) / 7 (cos 5π/9 + isin 5π/9)
⇒ r = [tex]\sqrt{18}[/tex] / 7 and
θ = (π/4 - 5π/9 )
⇒ θ = (-11π/36)
cos(-θ) = cos θ
⇒cos( -11π/36 ) = cos ( 11π/36 )
sin(-θ) = -sin θ
⇒ sin ( -11π/36 ) = -sin ( 11π/36 )
Thus, z1/z2 = [tex]\sqrt{18}[/tex] / 7 (cos ( 11π/36 ) - isin ( 11π/36 ))
Hence we can conclude that the value of z1/z2 is
√18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).
Learn more about complex number here
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Hello hello there help
Answer:
Step-by-step explanation:
A translation 1 unit left and 2 units down :)
evaluate the expression 5 /6 + -3 /5
Step-by-step explanation:
[tex] \frac{7}{30} [/tex]
[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]
You are delt 1 card from a 52 card deck. Find the probability that you are not dealt a 10
Answer:
Step-by-step explanation:
There are 4 tens.
There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is
P(~10) = 48/52 which is quite high as you might imagine.
Which of the following is an equilateral triangle based on the given figure?
Check the picture below.
Answer:
ΔABEStep-by-step explanation:
In ΔBCD,
Two sides are equal, i.e,
BC = CD
therefore, it is a Isoceles Triangle.
In ΔBDE,
No sides are equal,
therefore, it is Scalene Triangle.
In ΔABE,
AB = BE = AE
Therefore, it is equilateral triangle.
Hope it helps you!!plz helppppppppppopppppp
please help ill mark brainliestO
Answer:
56
Step-by-step explanation:
whats 4000+60=
and whats 60+4000=
Answer:
4060
Step-by-step explanation:
Answer:4060
Step-by-step explanation:
Plz help if understand this problem
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.
how many seconds are there in 3 minute By the process
Answer:
Step-by-step explanation:
You can easily convert 3 minutes into seconds using each unit definition:
Minutes
minute = 60 s = 60 s
Seconds
1 s
= 1 sec / 60 = 0.01667 min
With this information, you can calculate the quantity of seconds 3 minutes is equal to.
In 3 min there are 180 s.
Which is the same to say that 3 minutes is 180 seconds.
squared root of -100 =
Step-by-step explanation:
Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.
Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x
Explanation:
The general template of a sine function is
y = Asin(B(x-C))+D
The value of B is the only thing that determines the period T. We ignore every other term.
It turns out that T = 2pi/B which can be solved to B = 2pi/T
Plug in the given period of T = 8pi and compute to get
B = 2pi/T
B = (2pi)/(8pi)
B = 2/8
B = 1/4
This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?
Answer:
50%
Step-by-step explanation:
75/150 = x/100
x = 50
Answer:
50%
explanation
half of 150 is 75(75x2)
Work out the area of the shaded shape.
Answer:
Step-by-step explanation:
A = 8(14) - 9(8 - 4) = 76 m²
Help help hep help help math
Answer:
Angle 5
Step-by-step explanation:
heleppppppppppppp
plssssssssssssssss
Answer:
21
Step-by-step explanation:
Answer:
(3,3)
Step-by-step explanation:
Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)
I understand if this a little difficult to understand and i sincerely apologize for that..
What is the range of tanx?
1. all real numbers
2. -1 ≤ y ≤ 1
3. y > 0
all real numbers except the 90 and 270 because of cosx
Select the graph of the function f(x) = 4+ 1/x+6
Answer:
F(x) = 4+ 1/x + 6 = 10x + 1
x
2/5 x 7/9 = ( fractions )
Answer:
32/45 is your required answer
Answer:
your answer will be 14/45
Step-by-step explanation:
2/5 × 7/9
= 2 × 7
5 × 9
= 14/45
in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.
How many tickets i sell in 2018?
And
Show a check of your answer.
Answer:
sorry I don't know the answer of this
How to find the area of a missing square
Check the picture below.
btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.
which statement correctly compares two value?
The value of the 5 in 50.89 is 1/10 the value of the 5 in 261.58.
The value of the 5 in 50.89 is 10 times the value of the 5 in 261.58.
The value of the 5 in 50.89 is 1/100 the value of the 6 261.58.
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Answer:
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Step-by-step explanation:
The 5 in 50.89 is in the 10's place
The 5 in 261.58 is in the 1/10's place
1/10(100) = 10
can someone help me please
Answer:
1)B 4 x 4 x 4 x 4
2)B 8292
Step-by-step explanation:
find the discriminant of -2x^2+8=x^2-28
Answer:
If I'm not wrong I think the answer should be (-28)
whats -2 - 19t if t=-1
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
The gas tank in dads car holds 5 gallons. The gas tank in moms truck holds 50% more than that. How much gas does the truck's tank hold.
Answer:
7.5 gallons
Step-by-step explanation:
the 50% of 5 gallons is 2.5 then add up 5 gallons so the answer is 7.5 gallons of gas
