Answer:
C. [tex]\ln z = 5.6157 + i\,\pi[/tex]
Step-by-step explanation:
Let [tex]z = a + i\,b[/tex], [tex]\forall\, a, b\in \mathbb{R}[/tex], the natural logarithm of a this number is:
[tex]\ln z = \ln \|z\|+i\, \theta[/tex] (1)
Where:
[tex]\|z\|[/tex] - Norm of the complex number, no units.
[tex]\theta[/tex] - Direction of the complex number, in radians.
The norm and direction of the complex number are both defined by:
[tex]\|z\| = \sqrt{a^{2}+b^{2}}[/tex] (2)
[tex]\theta = \tan^{-1}\left(\frac{b}{a} \right)[/tex] (3)
If we know that [tex]z = -274.7 +\,i \, 0[/tex], then the natural logarithm of this number is:
[tex]\|z\| = 274.7[/tex], [tex]\theta = \pi\,rad[/tex]
[tex]\ln z = \ln \|z\|+i\, \theta[/tex]
[tex]\ln z = 5.6157 + i\,\pi[/tex]
Hence, correct answer is C.
Find each angle measure
Answer:
angle 1 = 63°
angle 2 = 117°
angle 3 = 63°
Step-by-step explanation:
angle 2 = 117° (vert.opp.angles)
angle 1 = angle 3 (vert.opp.angles)
angle 1 + angle 2 + angle 3 + 117° = 360°
angle 1 + 117° + angle 3 + 117° = 360°
angle 1 + angle 3 = 360° - 117° - 117°
angle 1 + angle 3 = 126°
angle 1 = 63°
angle 3 = 63°
HELPPPPPPP PLSSSSSSSS
Answer:
D'(5,2)
E'(13,-5)
F'(15,3)
PLEASE HELP ;(
If x varies directly as y, find
x when y = 8.
x = 11 when y = -3
X =
Answer:
1638 or 1368!
Step-by-step explanation:
please please help me I will mark brainlist !!
Answer:
9. B. 32 millimeters
10. C. 7 inches
11. C. 56.24 millimeters
13. B. 14.13 square feet
Step-by-step explanation:
9. Radius of a circle or any circular shape = ½ of its diameter
Diameter of the disk = 64 millimeters
Radius of the disk = ½(64) = 32 millimeters
10. Width of the cooler = 6 in.
Length = 8 in.
Volume = 336 in.³
Height = ?
Formula for volume of a rectangular prism = L*W*H
Plug in the values
336 = 8*6*H
336 = 48*H
Divide both sides by 48
336/48 = H
H = 7 inches
11. A dime has a circular shape
The circumference of the dime = circumference of a circle = πd
Where,
d = 17.91 millimeters
π = 3.14
Plug in the values
C = 3.14 × 17.91 = 56.2374
≈ 56.24 millimeters (nearest hundredth)
12. Area of the top of the desk = area of semicircle = ½ × πr²
Where,
r = ½(6) = 3 ft
π = 3.14
Plug in the values
Area = ½ × 3.14 × 3² = ½ × 3.14 × 9
Area = 14.13 square feet
Convert 360°F to °C, rounded off to the nearest 10°C.
Answer:
360 Fahrenheit is equal to 182.222 Celcius, round it to 182
Step-by-step explanation:
HELP PLEASE THIS IS DUE IN 15 MIN!!!!!!!!!!!
look at the picture
Answer:
c reflexive property
if you look at it it's reflecting
=============================================================
Explanation:
For statement 1, we'll have angle O congruent to angle M. This is visually given by the angle arcs that are the same.
For statement 2, we'll have segment OL congruent to segment LM. This is also given because of the tickmarks on the segments to show they are the same length.
In statement 3, angle KLO is congruent to angle MLN. The reason for this is they are vertical angles. So if your teacher was asking about what goes for reason 3, then you would be correct in selecting choice A.
The actual answer is choice B) ASA because we have two pairs of congruent angles (refer to statements 1 and 3 mentioned earlier); between those angles for each triangle we have a pair of congruent segments (refer to statement 2). So that's why we go for ASA. As you can probably guess, "A" stands for "angle" and "S" stands for "side". The order matters. The side must be between the angles in question. This means AAS is slightly different than ASA.
Side note: The reflexive property is the idea that any segment or angle is congruent to itself. It's not used at all here, but it's useful in other situations.
Another side note: CPCTC stands for "corresponding parts of congruent triangles are congruent". It basically means that if two triangles are congruent, then the pieces that match up together are congruent as well.
Graph the function f(x)= -³√x+2.
Answer:
Step-by-step explanation:
GIVING 25 PTS I REALLY NEED HELP ON THIS LAST QUESTION AND IM TIMED ILL GIVE BRAINLIEST TO WHOS RIGHT
Answer: A, 314 square inches
Step-by-step explanation:
The equation for the area of a circle is A = 3.14 x r²
3.14 x 10² ≈ 314
the 20% tip on a $8 sandwich
Answer:
Tip of $1.60
The total is $9.60
Step-by-step explanation:
(20% × $8) + $8
$1.60 + $8
$9.60
find the circumference of the circle to the nearest tenth
Answer:
34.6
Step-by-step explanation:
Answer:
It will be 34.6 by my opinion
A store gives customers a markup of 13%. If the store sells a belt for $25, what was the wholesale price paid for the belt by the store?
Answer:
$22.12
Step-by-step explanation:
Let x be the wholesale price (the price before adding the markup).
The markup is 13%, so 13% of x is added to x.
x + 13%x = $25
x + 0.13x = 25
1.13x = 25
x = 25/1.13
x = 22.12
What makes a circle a special kind of geometric figure?
Answer:
it is unlike other shapes
Step-by-step explanation:
it has no egdes,vertices etc.
Find the value of x
Answer:
x=80
Step-by-step explanation:
(x+30)=110 because they are vertically opposite angles.
x+30=110
x=110-30
x=80
Answer:
x = 80 degrees
Step-by-step explanation:
x + 30 = 110
- 30 = -30
x = 80 degrees
Can you help me, please?
Answer:
The first one is two over four
Step-by-step explanation:
a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random
a)what is probability that it is green ?
b)what probability that it is green or yellow
Answer:
a) 2/6 b) 4/6
Step-by-step explanation:
You add the amount of beads: 1+2+2+1= 6
And take the amount of green beads and put it over the total amount so 2/6
For b you do the same but add the green and yellow beads and put that over the total amount 4/6
Answer:
Step-by-step explanation:
a) 2/6 = 1/3
b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) = 1/15 x 1/15 = 1/225
im not sure if my answers are correct
What is the range of this function?
{(-2,3), (0,1), (1, -2), (2,5)}
Answer:
3,1,-2,5
Step-by-step explanation:
The range means the y number of the domain (x)
Answer:
Hi! The answer to your question is {3,1,-2,5)
Step-by-step explanation:
The Domain is a set of all the values of x. The Range is a set of all the values of y.
Hope this helps **™
- Brooklynn Deka
❣❣❣
How are land parcels valued?
Find the slope of the line.
Answer:
1/3 is the slope
Step-by-step explanation:
hope this helps
What is the value of the discriminant? 3y2 = 8y + 2
−40
56
72
88
Answer:
88
Step-by-step explanation:
a = 3
b = -8
c = -2
(-8)² 4(3)(-2) = 64 + 24
according to the Michigan DNR, the wolf population on Beaver Island can be modeled by the equation P= 1300(.87)^x. Is the population increasing or decreasing, and by what percent?
Answer:
The population is decreasing by 13%.
Step-by-step explanation:
The standard exponential equation can be modeled by:
y = A(1 ± r)^x
Consider the point on the polar graph below.
Represent the point's location in the polar form (r,θ) where 0≤r<50 and 0≤θ<2π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and 2π≤θ<4π.
(r,θ)=
Represent the point's location in the polar form (r,θ) where 0≤r<50and −2π≤θ<0.
(r,θ)=
J0IN G00GLE MEET GIRL$
wnp-hxru-ipf
What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?
Answer:
Step-by-step explanation:
The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.
…… (1)
where
Terminal voltage of the motor
Flux in the motor
Torque induced in the motor
Armature resistance
If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.
PLEASE HELP!!
Solve for m
m+7=3+m+4
Answer:
M = -7
Step-by-step explanation:
It makes sense if you replace it in for M! Hope this helps and have a great day!
show proof and work for brainliest
A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes per month). Studies have shownthat 80% of the people who were Low users one month will be Low users the nextmonth, and that 70% of the people who were High users one month will be Highusers the next month.
(a) Set up the 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions
(b) Suppose that, during the month of January, 50% of the customers were Low users. What percent of the customers will be Low users in February? In March? (Type an integer or decimal for each matrix element.)
1. The stochastic matrix for the given transitions is:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
2. 40.0% people in February and 32.0% people in March will be the low users if there are 50% low users in January.
It is given that,
80% of the people who were Low users one month will be Low users the next month.
That means for the transition low-low (L-L)
p = 0.80
So, for Low-high transition (L-H)
p = 1-0.80 = 0.20
It is also given that 70% of the people who were High users one month will be High users the next month.
That means, p = 0.70 for the transition high-high (H-H)
Then for H-L transition, p = 1-0.70 = 0.30
(a) The 2x2 stochastic matrix for these transitions is:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
(b) Given that 50% users are the low users in month of January.
[tex]\text{Percent of the customers will be Low users in February}= (\text{low users in month of January} \times \text{Probability of L-L transition.}) \times 100\%[/tex]= (0.50 x 0.80)x100%
= 0.4x 100%
=40.0%
Now, the percentage of people who will be low users in the month of march = (low users in February x probability of L-L transition)x100%
=(0.40x0.80)x100%
=0.32x100%
=32.0%
Hence, the percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.
Therefore, the results are:
1.2x2 stochastic matrix for the transitions is as:
[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]
2. The percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.
Learn more about stochastic matrix here:
https://brainly.com/question/29737056
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Pls help I don’t know hot to multiply the last part 8 2
Answer:
8^2 = 64
Step-by-step explanation:
Hi! Okay, let's get started!
[tex]8^{2}[/tex] is what you need help with right?
So, that equals to 8 x 8.
8 x 8 = 64, so it would be 64
Hope that helps!
-Aphrodite :)
Volume of a square prism with faces of 3/8
Answer:
27/512 in.^3
Step-by-step explanation:
volume = side^3
V = (3/8 in.)^3
V = 27/512 in.^3
express y as a function of x.
I keep getting hairy answers and I'm not sure I'm doing this correctly
Answer:
[tex]y = 7x - \frac{2}{6}[/tex]
Step-by-step explanation:
In y = (1)/(2) (3x+4) - (1)/(3) (x+7)
y = 7x-2/6 (Solving for y)
x = 6y/7 + 2/7
Answer:
4 ln y = 1/2 ln (3x + 4) - 1/3 ln (x + 7) + ln C4 ln y = ln [C*(3x + 4)[tex]^{1/2}[/tex]/(x + 7)[tex]^{1/3}[/tex]]ln y = 1/4 ln [C*(3x + 4)[tex]^{1/2}[/tex] / (x + 7)[tex]^{1/3}[/tex]]ln y = ln [C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]]y = C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]or
y = [tex]\sqrt[24]{C^6(3x + 4)^3/(x + 7)^2}[/tex]sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false
Answer:
False
Step-by-step explanation:
Trying it in a calculator says otherwise meaning it's false
WILL MARK BRAINLIEST
The number of students in 10 kindergarten classes is shown below
20, 18, 21, 18, 22, 24, 18, 23, 23, 24,
What is the median number of students in the kindergarten classes?
What number of students describes the first quartile
what number of students describes the third quartile
what number of students describes the interquartile range
22 (what number is in the middle one you put it in ascending order)
18 (the first quartile is the first quarter of the sorted list)
23 (the third quarter, the number in between the last number and the median)
5 (the range between quartile 1 and quartile 3)
Have a great day <3