Answer:
-7/2i
Step-by-step explanation:
The imaginary part of the complex number is -7/2.
What is complex form?A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.
We know a complex form,
a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part
So,
[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]
Compared to the standard form,
-7/2 is the imaginary part.
Therefore, -7/2 is the imaginary part.
To learn more about the complex form;
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A car travels at a speed of 55 kilometers per hour.Find the distance travelled by the car in 12 minutes and 30 seconds.Find the Answers in meters
Answer:
Step-by-step explanation:
(distance) d = (speed) s * t (time)
= 55km/h * 12.30m/s
= 11.275 km
= 11.275 * 1000
= 11275m
2+2
Help please i really need it
Answer: 4
Step-by-step explanation:
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answer:
[tex]y-4=\frac{1}{2} (x+10)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point (-10,4)
[tex]y-4=m(x-(-10))[/tex]
Two negatives make a positive
[tex]y-4=m(x+10)[/tex]
Plug in the slope
[tex]y-4=\frac{1}{2} (x+10)[/tex]
I hope this helps!
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
The value of p and q in the right triangle are as follows:
p ≈ 30.6 units
q ≈ 14.9 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Let's find p and q using the trigonometric ratios.
Hence,
sin 64 = opposite / hypotenuse
opposite side = p
hypotenuse = 34
Therefore,
sin 64 = p / 34
cross multiply
p = 34 sin 64
p = 30.5589975742
p ≈ 30.6 units
Hence,
cos 64 = adjacent / hypotenuse
cos 64 = q / 34
cross multiply
q = 34 cos 64
q = 14.9046189908
q = 14.9 units
Therefore,
p ≈ 30.6 units
q ≈ 14.9 units
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help bro
Identify the Terms:
3x + 5x + 12 – 3 + 2x
Answer:
dfadfadsadas
Step-by-step explanation:
awnser photo quick please #8
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
A store advertises 15% off an item that regularly sells for $300
what is the price of the item?
For this problem, we're finding the percent of 300. To do that we:
1. Multiply 300 by 15.
300 x 15 = 4500
2. Divide 4500 by 100. (% = 100)
4500 / 100 = 45
Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.
300 - 45 = 255
Now, our answer is 255 and the unit price is 45.
Let me know of any questions!
Una fábrica de bolígrafos fabrica sus propios productos en tres colores distintos. 25 de su fabricación son bolígrafos azules, 13 son bolígrafos negros y el resto son bolígrafos rojos. a.- ¿Qué fracción de bolígrafos son bolígrafos rojos? b.- Si en total en un día se han fabricado 2250 bolígrafos ¿ Cuántos se han fabricado de cada color?
Answer:
a) 4/15
b) 900 bolígrafos azules
750 bolígrafos negros
600 bolígrafos rojos
Step-by-step explanation:
Una fábrica de bolígrafos fabrica sus propios productos en tres colores diferentes. 2/5 de su fabricación son bolígrafos azules, 1/3 son bolígrafos negros y el resto son bolígrafos rojos.
a) ¿Qué fracción de bolígrafos son bolígrafos rojos?
Deje que el número total de bolígrafos se represente como 1
La fracción de bolígrafos rojos =
1 - (Fracción de bolígrafos azules + Fracción de bolígrafos negros)
= 1 - (2/5 + 1/3)
El mínimo común denominador es 15
= 1 - (6 + 5/15)
= 1 - 15/11
= 4/15
Por lo tanto, la fracción de bolígrafos rojos = 4/15
b) Si se han fabricado un total de 2250 bolígrafos en un día, ¿cuántos se han fabricado de cada color?
Para bolígrafos azules
2/5 de su fabricación son bolígrafos azules,
= 2/5 × 2250 bolígrafos
= 900 bolígrafos azules
Para bolígrafos negros
1/3 son bolígrafos negros
= 1/3 × 2250 bolígrafos
= 750 bolígrafos negros
Para bolígrafos rojos
4/15 son bolígrafos rojos
= 4/15 × 2250 bolígrafos
= 600 bolígrafos rojos
Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?
Answer: AI is 8, Rob is 18, and Bert is 36
Step-by-step explanation:
Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!
Can some one help me with this
Answer:
C) y = 2x + 3
Step-by-step explanation:
In slope intercept form(y = mx + b), b is the y intercept and m is the slope. The y intercept is y variable when the x variable is 0. In the chart, the y-intercept(b) is 3. Slope is identified by the different in y by the difference in x. In this chart the slope is 2. Now plug in the number into slope intercept form( y = 2x + 3).
pls help me do these problems. I need them by today.
Answer:
see below
Step-by-step explanation:
Question 1: D
Question 2: A
Question 3: B
Question 4: B
Question 5: C
Question 6: D
Question 7: A
Question 8: D
Can some one help me pleas
i need help finding z and y pls
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
I need help with geometry.
Answer:
x=9
Step-by-step explanation:
AIA's are supplementary 15x+45=180
180-45=130
130/15 = 9
i need help with this !!!!
A hotel currently has 280 rooms. The management company
decides to build a new wing that will increase the capacity to 405
rooms. By what percentage will this expand the capacity of the
hotel? (Round to the nearest tenth of a percent.)
a) 30.9%
b) 44.6%
c) 69.1
d) 125.0%
Answer:
c = 69.1
Step-by-step explanation:
because if you already have 280 rooms and it will increase to 405 rooms essentially all you have to do is 280/405 and that gives you about 69.1%
Which numbers are rational? Check all that apply. –19 Negative two-fifths 0 StartFraction 4 Over 7 EndFraction 1.091502… 2.89
Answer:
everything but 1.091502…
Step-by-step explanation:
Brainliest please
Answer:
A,B,C,D,F
Step-by-step explanation:
A pool has dimensions of 40m by 20m. We'd like to add a tile path surrounding the pool with a width of 1m all the way around the pool. What's the area of the path?
-10(-1/2y+(-7/2)+7y=-25
Answer:
y = -5
Step-by-step explanation:
-10(-1/2y + (-7/2)) + 7y = -25
Let's first of all expand the bracket to get;
5y + 35 + 7y = -25
12y + 35 = -25
12y = -25 - 35
12y = -60
y = -60/12
y = -5
What is the slope of a line parallel to the line whose equation is x+2y=2
Step-by-step explanation:
Parallel lines have the same slope.
[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]
[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]
(2x - 5), (2 +30), and (2x – 5)
Solve for x
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
c po ang sagot jan parehas tayo
What is 3 to the third power divided by 3 to negative 4th power
Answer:
Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
15 is 30% of what number
Answer:
15 is 30% of 100 I believe
Answer:
50
Step-by-step explanation:
Hope this answer your question.
Manny took a math test. The test started at 12:53 PM, and ended at 1:23 PM. how long did his test last?
Answer:
Step-by-step explanation:
the test lasted :
23 minutes+7= 30 min
12z;53 =7 min will be 1 pm
Pls help asp here are some points
Answer:
(the last one)
Step-by-step explanation:
Hi there!
This looks like a diagnostic. I had to take one last week and it was horrible!
Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)
The denominator is the product of negative 8 and x, which can be written as -8x.
I hope this helped!
9 mugs for $45
What is the rate?
And what is the unit rate?
Answer: The unit rate is $5 per mug.
Step-by-step explanation:
To find the the unit rate, you will find the amount one mug will cost.
If there are 9 mugs then to get it to one, you will have to divide 9 by 9, and the same way you will have to divide 45 by 9.
45 / 9 = 5
rewrite in simplest form (-4x+6y-)-(-9x-8y
Answer:
5x + 14y
Explanation:
−4x+6y−(−9x−8y)
Distribute the Negative Sign:
= −4x+6y+−1(−9x−8y)
= −4x+6y+−1(−9x)+−1(−8y)
= −4x+6y+9x+8y
Combine Like Terms:
= −4x+6y+9x+8y
= (−4x+9x)+(6y+8y)
= 5x + 14y
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation: