Answers
Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
Related Questions
Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
Answers
Answer:
51, 53, 55, 58, 60
Step-by-step explanation:
The minimum is the lowest value in the data set, that is 51
The maximum is the largest value in the data set, that is 60
The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
↑ middle
median = 55
The lower quartile is the middle value to the left of the median
51, 51, 53, 53, 54, 55
↑
Q₁ = [tex]\frac{53+53}{2}[/tex] = [tex]\frac{106}{2}[/tex] = 53
The upper quartile is the middle value of the data to the right of the median
56, 58, 58, 58, 59, 60
↑
Q₃ = [tex]\frac{58+58}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answers
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
Ndiba left the hardware store and drove toward the train station. Willie left one hour later driving 10 mph faster in an effort to catch up to him. After three hours Willie finally caught up. What was Ndiba's average speed?
Answers
[tex]\boxed{\sf Distance=Speed(Time)}[/tex]
Let
Ndibas speed be xWillies speed=x+10Both travelled same distance
[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]
[tex]\\ \sf\longmapsto 4x=3x+30[/tex]
[tex]\\ \sf\longmapsto x=30mph[/tex]
how do I write an equation of a line that is parallel to 2x-3y=15
Answers
=> 3y = 2x + 15
=> y = 2/3 x + 5
These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.
So in this case, gradient is 2/3 (or 2 units up, and 3 units across).
And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:
y = 2/3 x + n
where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.
For example, y = 2/3 x + 2
Which expression is equivalent to w • 35?
A.
(w • 3) + 5
B.
(w • 30) + 5
C.(w • 30) + (w • 5)
D.
(w • 5) + 3
Answers
Answer:
A.
(w.3)+5
=w. 3+5
=w . 8
B.
(w.30) +5
=w.30+5
=w . 35
C.
(w.30) + (w.5)
=w.30+w.5
=w+w.30.5
=2w . 35
D.
(w.5)+3
=w . 5+3
=w . 8
so, B is the expression which is equivalent
to w . 35
A square has sides of length 36.5 yards. What is the area?
Answers
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
PLEASE HELPP WITH THIS QUESTION!!!!!
Answers
Answer:
y=-3/2x
Step-by-step explanation:
y=mx + b
First find slope, here we take 2 points
(0,0) and (2, -3)
m = (-3-0)/(2-0)
m = -3/2
Find B which is 0 since it hits (0,0) which is a y intercept when x= 0
Therefore equation is:
y=-3/2 x
Help??
Trying to find g
1/3(g-3)=3
Answers
Answer:
g = 12
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction
g - 3 = 9 ( add 3 to both sides )
g = 12
what is equivalent to the following expression:
2(- a + 5) – 3 (a + 5b-2)+b (6-a)
Answers
From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.
= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)
We've to expand the functions and this will be:
= -2a + 10 - 3a - 15b + 6 + 6b - ab
Collect like terms
= - 2a - 3a - 15b + 6b + 10 + 6 - ab
= -5a - 9b + 16 - ab
Therefore, the expression is equivalent to 5a - 9b + 16 - ab.
Learn more about equations on:
https://brainly.com/question/13763238
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answers
Answer:
k=-6-6=-12
Im pretty sure that's the answer
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
Answers
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]--(1)
[tex]\\ \sf\Rrightarrow y=x+1[/tex]--(2)
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
(x,y)=(0.5,1.5)Divide. Give the exact answer, written as a decimal.
Answers
Answer: 554
Step-by-step explanation: cause yeah
Help me please! I need help ill give brainliest
Answers
Answer:
26 1/4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You add up both fractions, sorry for the lazy explanation
Solve the following:
2x - 7 = x + 3
4 3
Answers
Answer:
x = 10
Step-by-step explanation:
2x - 7 = x + 3
=> 2x - 7 = x + 3
=> x = 10
Therefore, x = 10.
Hoped this helped.
Answer: x=350
Step-by-step explanation:
Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answers
Based on the information that's given, the account balance after the years given will be $27654.20.
The formula for simple interest is calculated as:
= PRT / 100
where,
Principal = $22825
Rate = 4.03%
Time = 5 years, 3 months = 5.25 years
Therefore, the simple interest will be:
= ($22825 × 4.03 × 5.25) / 100
= $4829.20
Therefore, the amount will be:
= $22825 + $4829.20
= $27654.20
Learn more about simple interest on:
https://brainly.com/question/25747402
Answer:
The amount will be $27654.20
Step-by-step explanation:
You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?
Answers
The one-time entry fee is $12.
In order to determine the one-time entry fee, two equations have to be formed from the information in the question:
x + 5y = 42 equation 1
x + 7y = 54 equation 2
Where:
x = one-time entry fee
y = cost to pick an apple per pound
In order to determine the one-time entry fee, take the following steps:
Multiply equation 1 by 7 and equation 2 by 5.
7x + 35y = 294 equation 3
5x + 35y = 270 equation 4
Subtract equation 4 from equation 3
2x =24
Divide both sides of the equation by 2
x = $12
To learn more, please check: brainly.com/question/23589883
solve each equation by factoring 12p^2+78p-151= -7
Answers
Answer:
Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd
Step-by-step explanation
A rectangular lawn 80 m x 60 m has two roads each 10m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at ₹ 1.20 per sq meter.
Answers
Answer:
₹1680
Step-by-step explanation:
Road Length (m) Width (m) Area ([tex]m^{2}[/tex])
1 80 10 800
2 60 10 600
(800+600) = 1400 ([tex]m^{2}[/tex])
1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680
Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?
Answers
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together
The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the length
of the base and h is the height. Solve this equation for h.
Answers
Answer:
h= (2a)/b
Step-by-step explanation:
solved for equation
If you want 10 points answer my question
Plz
Answers
decrease eight times a number by twice the same number
Answers
Answer:
6x
Step-by-step explanation:
8x-2x
see attached photo for question
Answers
Answer:[tex]6\pi[/tex]
Step-by-step explanation:
240/360 can be simplified to 2/3. r^2 can be substituted for 9, and 2/3*9 is 6.
I need so much help with this question
Answers
Step-by-step explanation:
Looking at the graph, we can see that
A = (3, -3)
B = (10, -5)
C = (6, -8)
Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)
A' = (-3, -3)
B' = (-10, -5)
C' = (-6, -8)
Plot these points on the graph and connect them to get your new triangle
NEED ANSWERS PLEASEEE! PROGRESS REPORTS GO IN SOON.
Answers
Answer:
1. they both are the same length and diameter, the difference is thw diameter is a different direction.
2. 4 cm
3. EB and 8 cm
Step-by-step explanation:
Diameter is the length of the circle aross, hope this helps!
what does the expression 3(20+15) represent?
Answers
Answer:
It represents 3x20 +3x15
Step-by-step explanation:
The expression 3(20+15) represents 20+15 then multiplying it by three.
If you were to solve the expression, the answer would be 105.
20 + 15 = 35
35 x 3 OR 35(3) OR 35 ∙ 3 = 105
please help Me make sure you put the correct answer
Answers
Answer:
26
Step-by-step explanation:
3*8=24+2=26
please help!!! ILL GIVE U BRAINLIEST.
Answers
Answer:
f(x) is translated by 4 units left.
Step-by-step explanation:
did it help ?
well, hope it helps !
evaluate –3(–5)(–1)(3)
Answers
Answer:
-45
Step-by-step explanation:
I think one way you could do it is:
1. –3(–5) = 15
2. (–1)(3) = -3
3. (15) (-3) = -45
I used a calculator pls let me know if im incorrect
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
B.
Step-by-step explanation:
You just remove 3 zeros from 10.
10 —> 1 —> 0.1 —> 0.01 :)
of the field of view to figure the estimated length of the
cell. If the number of cells is 50 and the diameter you are
observing is 5 millimeters in length, then one cell is 0.1
millimeter long. Measured in microns, the cell would be
1,000 microns in length.
