Answer:
The answer you chose is correct
Step-by-step explanation:
What is the multiplicative identity of the complex number –4 + 8i
Answer:
B, 1
Step-by-step explanation:
EDGE 2020
Which complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i)
Answer: -4 - 32i
i just took this test
The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
The given expression is (2+i)(8-3i)-(23+34i).
What is a complex number?A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.
That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)
Now, 2i+11-23-34i=-32i-12
Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
To learn more about the complex numbers visit:
https://brainly.com/question/28007020.
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Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)
Answer:
-3 = -12
Step-by-step explanation:
Have a great day
I hope that is the answer you are looking for :)
The monthly cost of running a small business consists of retail space rental at $2400, wages at $1800 and utilities at $480. If the retail space rental and wages are decreased by 5% and 6% respectively, while utilities are increased by 7%, find the percentage increase or decrease in the monthly cost of running the business.
Answer:
5.8%
Step-by-step explanation:
For the business,
retail space rental = $2400
wages = $1800
utilities = $480
Total running cost = $4680
But,
retail space rental decreased by 5%, so that;
5% of $2400 = 0.05 x $2400 = $125
The new retail space rental = $2400 - $125
= $2275
wages decreased by 6%, so that;
6% of $1800 = 0.06 x $1800 = $108
The new wages = $1800 - $108
= $1620
Utilities increased by 7%, so that;
7% of $480 = 0.07 x $480 = $33.6
The new amount on utilities = $480 + $33.6
= $513.6
New total running cost = $2275 + $1620 + $513.6
= $4408.6
The percentage decrease in the monthly cost = [tex]\frac{(4680 - 4408.6)}{4680}[/tex] x 100%
= [tex]\frac{271.4}{4680}[/tex] x 100%
= 5.8%
The sum 51 + (-37) is equal to what? -14 88 88 14
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 and it's postive
Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.
Answer:
-Equations:
AA=75+2x
AA=75+2x
-Company A would be cheaper.
Step-by-step explanation:
-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
AA=75+2x
AA=75+2(45)
AA=75+90
AA=165
-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
BB=35+3x
BB=35+3(45)
BB=35+135
BB=170
According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.
Two trains leave a station, one headed due west and the other headed due south. How fast is the southern bound train moving if the west bound train is 15 miles from the station traveling at a constant speed of 35 mph, the distance between the trains is 24 miles, and the distance between them is increasing at a rate of 25 mph.
Answer:
dx/dt = 4 mph
Step-by-step explanation:
The two trains, with the station ( origin of the coordinates system) all, form a right triangle when we considered the distance between the two trains.
In that triangle:
distance between trains D = 24 miles
leg (1 ) distance of train going west to origin y = 15 miles
leg (2) distance of train going south x = ??
When d = 24 and y = 15
D² = y² + x² ⇒ x² = D² - y²
x = √ (24)² - (15)²
x = √351
x = 18,73 miles
Now according to Pythagoras theorem
D² = x² + y²
Taking derivatives (respect to time) on both sides of the equation we get
2*D*dD/dt = 2*y*dy/dt + 2*x*dx/dt
In this expression we are looking for dx/dt, all the rest of variables are known
2*24*25 = 2* 15*35 + 2*(18,73)* dx/dt
(1200 - 1050 )/37,46 = dx/dt
dx/dt = 4 mph
the polynomial p(x) has factors of x-5 and x-8. Which must be correct ?
Answer:
Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?
Step-by-step explanation:
If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.
What is the reciprocal of 4/12?
Answer: 12/4 or 3
Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.
Answer:
12/4 = 3/1 = 3
Step-by-step explanation:
To find the reciprocal of a fraction, flip it.
The reciprocal of 4/12 is 12/4 which reduces to 3.
A square is removed from the right hand corner
Answer:
C im pretty sure
Step-by-step explanation:
Because the square taken out has a 4x4 area which is 16 and the area of the whole square used to be 14x14 which is 196 and if u subtract 16 from that you get 180
What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
O A. The slope of the line is
(Type an integer or a simplified fraction.)
O B. The slope of the line is undefined.
[tex]\tt Step-by-step~explanation:[/tex]
Slope = rise/run
[tex]\tt Steps:[/tex]
Rise: The line travels 5 units vertically (up) from the first point to the second.
Run: The line goes 6 units horizontally (left) from the first point to the second.
Slope = rise/run; Slope = 5/6
[tex]\Large\boxed{\tt The~slope~of~the~line~is:~\frac{5}{6}~units }[/tex]
Answer:
Slope = rise/run
Step-by-step explanation:
evaluate. express your answer in simplest form. 7/9 - 2/8 x 4/9
A 20/9
B 5/9
C 2/3
D 48/72
Answer:
2/3
Step-by-step explanation:
[tex] \frac{7}{9} - \frac{2}{8} \times \frac{4}{9} \\after \: simlifying \\ \frac{7}{9} - \frac{1}{9} = \frac{6}{9} = \frac{2}{3} [/tex]
Please help me............
Answer:
85°
Step-by-step explanation:
180° - (67°+28°) =p
180°- 95° = p
P = 85°
Plz answer fast! Thank you to whoever answers❤️
|x |-8= -5
what's the answer
Answer:
|x |-7 = -5 ( x = -3 )
Step-by-step explanation:
2.685
x 102
Expanded form
Answer:
2.685 + 2.685 + 2.685 + 2.685 + 2.685 + 2.685. . . . . 102 times.
Step-by-step explanation:
Think of this as 102 times of 2.685.
So you would add 2.685 together 102 times.
(I didn't want to type out 2.685 that many times)
Hope I helped :)
Please consider Brainliest :)
The correct Standard Form of the equation y=−2/7x−11/7:
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
PLEASE ANSWER IMMEDIATELY!!!
Answer:
C.
Step-by-step explanation:
Point lines A and B are pointed in the same each direction.
Point line straight C and G.
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
Answer:
B and C
Step-by-step explanation:
Both do not intersect AB and are not parralel to AB.
Kerry takes up a delivery consignment. He delivers a few packages and one-fourth of
the packages remains in the truck. This excludes 5 packages that were returned. If
the truck contains 65 packages now, how many packages were there in Kerry's
original consignment?
Answer:
multiply 65 by 5 and divide by 1 fourth
Step-by-step explanation:
Can someone help me answer these please?
Answer: I think that the person above me is right so you should mark her/him brainliest.
List 5 significant advances in architecture Eastern Indians made
Answer:
Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.
Step-by-step explanation:
During the 2011-12 NBA season, LeBron James had an average of 30.3 points per game. The mean and standard deviation for the league were 7.65 points per game and 6.64 points per game, respectively. That same season the WNBA was led by Diana Taurasi who averaged 21.6 points per game. The mean and standard deviation for the entire WNBA that year were 8.13 points per game and 4.77 points per game, respectively. Who had the more remarkable performance compared to the rest of their league
Answer:
LeBron James had the more remarkable season
Step-by-step explanation:
Given that:
LeBron James:
Average point per Game = 30.3
Mean of the league (m) = 7.65
Standard deviation (s) = 6.64
WNBA:
Taurasi:
Average point = 21.6
Mean = 8.13
Standard deviation =4.77
Taking the Zscore for each:
LeBron :
Zscore = (x - m) / s
Zscore = (30.3 - 7.65) / 6.64
Zscore = 22.65 / 6.64 = 3.411
P(z < 3.411) = 0.99968
Taurasi :
Zscore = (x - m) / s
Zscore = (21.6 - 8.13) / 4.77
Zscore = 13.47 / 4.77
Zscore = 2.82
P( Z < 2.82) = 0.9976
LeBron's average has more standard deviations above the mean than Taurasi
Can only polygons be rotated
Answer: no
hope this helps!!!!!!! lol i suck
Help!!!!!!! solve the inequality
Answer:
25≥ w
i dont have the inquality sign
Step-by-step explanation:
multiply both sides by 5/4
Which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how
you
Answer: 29 :)
Step-by-step explanation:
the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation:
A coin is biased such that a is times as likely to occur as a tail. Find the expected number of when this coin is tossed twice.
Complete question:
A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.
Answer:
1/2
Step-by-step explanation:
Head is 3 times as likely to occur as tail;
Hence,
Sample space for 2 tosses :
{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}
Expected probability (E(x)) = Σx*p(x)
P(x) = required outcome / Total possible outcomes
x : __________ 0 ______ 1 _______ 2
p(x) : ________9/16_____6/16_____1/16
Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)
= 0 + 6/16 + 2/16
= 0 + 3/8 + 1/8
= 4/8
= 1/2
over a two hours time period, a snail moved 108 inches . how far is this in yards?
Answer:3 yards
Step-by-step explanation:
36 inches equals a yard so 36 Multiplied by 3 is 108 Therefore 3 yards
Solve for x: 4/9 x + 36 = 1/3
Answer:
x = -321/4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Is this a function or not a function? (Picture)
Answer:
Not a Function
Step-by-step explanation: