(2+3i)(1-2i)
What is the product of the complex number
Answer:
(2+3i)(1-2i) = (8-i)
Step-by-step explanation:
The given complex number is :
Z = (2+3i)(1-2i)
We need to find the product of the complex number
[tex]Z=2(1)+2(-2i)+3i(1)-6i^2\\\\=2-4i+3i-6i^2[/tex]
We know that, [tex]i^2=-1[/tex]
[tex]Z=2-i-6(-1)\\\\=2-i+6\\\\=8-i[/tex]
Hence, the product of the complex number is (8-i).
a certain arithmetic sequence has the following for the nth term an= 12 + (n-1)(5)
State whether its a, b,c, or d please.
Answer:
a(n-1)+d
d=5
The anser is A
3.
What is the slope of the equation?
y=-3x + 4
a) -3
b) 3
c)4.
d) -4
Answer:
-3
Explanation :
slope intercept form
y=mx+b
y= -3x+4
slope is also m
b is the y-intercept
An isosceles triangle has an angle that measures 50° which other angles could be in that isosceles triangle
Answer:
50 and 80 or 65 and 65
Step-by-step explanation:
two angles in an isosceles are the same.
y = 230X + 100
What is the constant rate
Answer: y 12 6 4 3. - 2 Y x 1 | 2 | 3 | 4 |. | y | 7 | 5| 3 1. 3.
Step-by-step explanation:
Can you please help me
answer of 15 is
5
sry I don't know others Very Very Sry
Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends? (Answer choices 15,33,56,60)
Answer:
D. 60
Step-by-step explanation:
Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.
The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.
A. 15 - This is wrong as 15 is not a multiple of 6.
B. 33 - This is wrong as 33 is not a multiple of 6.
C. 56 - This is wrong as 56 is not a multiple of 6.
D. 60 - This is CORRECT as 60 is a multiple of 6.
If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.
Answer:
15
Step-by-step explanation:
5x3=15
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
HELP PLEASE HELP HELP THIS HOMEWORK IS LATE I NEED HELP ILL MARK BRAINLIEST!!! I THINK THIS IS 26 POINTS OR SUM IDK BUT HELP
Answer: Elevator A
Step-by-step explanation:
30 ÷ 4 =7.2 floors per 6 sec
30 ÷ 3 = 10 floors per 5 scc
Which unit rate is equivalent to 17 miles per gallon? (5 points)
Question 1 options:
1) 3 gallons
_________
51 miles
2) 51 miles
______
3 gallons
3) 34 miles
_____
4 gallons
4) 4 gallons
______
34 miles
Answer:
The answer would be option 2) 51 miles/3 gallons.
Step-by-step explanation:
First, every 17 miles needs 1 gallon. If you add 17 more miles, it'll be 34 miles and you'll need a 2nd gallon, so you can already eliminate options 3 and 4. If you add another 17 miles and a gallon, it'll give you 51 miles 3 gallons. Option 1 would not be the answer because if you did 3/51, you'll get a whole different answer in decimals. So the only other option to choose from is option 2.
Please help me! Brainliest + 15 pts!
A piano tuner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the Piano tuner charges for 4 hours of work?
A: x/4 = 1.5/63
B: x/63 = 3.5/2.5
C: x/63 = 1.5/4
D: x/4 = 63/1.5
Please answer correctly and thanks! :)
Answer:
I think it is D , but if it not plz forgive me
Answer:
d
Step-by-step explanation:
In parallelogram STUV, find the measure of TS.
Answer:
123.8 cm
Step-by-step explanation:
well we know that STUV is a parallelogram (given)
so by properties of a parallelogram we know that opposite sides are congruent (in other words equal)
so we have that
VU=TS
and we know that VU=123.8 cm (given)
so TS=123.8
Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.
Answer:
y= -3/4x - 4Step-by-step explanation:
To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.
Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.
y=-3/4x+b
Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify
-1= 3 + b subtract 3 for both sides
-4=b
substitue -4 for b. Now you have y= -3/4x - 4 this is your answer.
a sequence is a set of
Answer:
set of related events, movements, or things that follow each other in a particular order.
Step-by-step explanation:
a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
what is 1/2(4x+14)=2(x-7)
Answer:
no solution
Step-by-step explanation:
1/2(4x+14)=2(x-7)
Multiply both sides by 2.
4x + 14 = 4(x - 7)
4x + 14 = 4x - 28
Subtract 4x from both sides.
14 = -28
Since 14 = -28 is a false statement, there is no solution for this equation.
Answer: no solution
How do I find the percent increase and decrease easily?
Answer:
division, I mostly use it and I find it easy
88.7% of 58
Please help me i need the answer!!!!!!!!!!!!!!!!!!!!!1
Answer:
the answer is 51.4% i Believe
Please help!! (Picture above) can you please explain how you did it? I’m confused.
9514 1404 393
Answer:
9
Step-by-step explanation:
(f ◦ g)(3) = f(g(3))
Each of the coordinate pairs for g correspond to ...
(x, g(x))
Then g(3) can be found by looking for the pair that has 3 in the first location. That ordered pair is ...
(3, 4)
so we know that g(3) = 4.
Now, we know that f(g(3)) = f(4). This tells us to look for the ordered pair in the f relation that has 4 as its first value. That ordered pair is ...
(4, 9)
so we know that f(4) = 9.
__
In summary, ...
(f ◦ g)(3) = f(g(3)) = f(4) = 9
Matthew dropped a tennis ball off the roof of 100 foot tall building. The objects height (y) is modeled by the equation below. At what time (t) does the ball hit the ground? Round your answer to the nearest tenth
Answer:
2 seconds later
Step-by-step explanation:
Since the required equation is lacking, let the equation modeled by the height be expressed as y = -16t² + 64
The ball hits the ground at y =0. Substitute y = 0 into the expression and find t;
Since y = -16t² + 64
0 = -16t² + 64
16t² = 64
t² = 64/16
t² = 4
t = ±√4
t = 2 and -2
Time cannot be negative, hence the ball hits the ground 2 seconds later.
Note that the equation used was assumed. Similar solution can be applied for any given equation.
how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale for $170, which was one-fourth of the original price. What was the original price of the nightstand
Answer:the original price is $680
Step-by-step explanation:
1/4(x)=170
4×1/4(x)=4×170
x=$680
The original price of the nightstand is $680.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Krystal bought a nightstand on sale for $170, which was one-fourth of the original price.
Let the original price of nightstand be x.
Now, 1/4x =170
x=170×4
x=$680
Therefore, the original price of the nightstand is $680.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ5
PLEASE EXTRA POINTS I REALLY NEED HELP!!! 1. A ski lift carries Carol up a slope at a rate of 5 mph.
She skis down the slope, parallel to the lift, at a speed of
20 mph. The round trip takes 45 minutes.
Write and solve a system of equations to determine
how far she skis.
System:
Defined variables:
Solve:
Solution as a sentence:
Hi sorry for the late response, I know the assignment was due at 5pm today but anyway here is the answer.
System:
d= 5(0.75-t)
d= 20t
20t = 3.75 -5t
Define Variables:
d = how far Carol Skied
t = time it took Carol to go up/down
Solve:
20t = 3.75 -5t
20t + 5t = 3.75 -5t + 5t
25t = 3.75
25t/25 = 3.75/25
t = 0.15
Now we plug in the time into the Distances:
20t = 3.75 - 5t
20(0.15) = 3.75 - 5(0.15)
3 = 3.75 - 0.75
3 = 3
Solution as Sentence:
Carol Skied 3 miles
T -10 -9 -8-7-6-5-4-3-2-1. 0 1 2 3 4 5 6 7 8 9
Using the number line above, select the number that would be the opposite of point T.
A.0
B.9
C.-8
D.7
Answer:
C
Step-by-step explanation:
Y-4=3(x - 1)
Identify slope
and what is an “anchor point”
Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)
Answer:
the equation is in form
y=mx+b where
m=slope
and
b=y-int (the y value for the vertex)
first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5
then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is
y=x+5
Step-by-step explanation:
A department store sells a pair of shoes with an 87% markup. If the original price of the shoes was $103, what is the selling price of the shoes
Answer:
Step-by-step explanation:
103x.87=89.61
103+89.61=192.61
help me answer this please!!!
Answer:
Step-by-step explanation:
20 + 20 + x = 180
x = 140
Answer:
140° ?
Step-by-step explanation:
Since Angle CAD is 20°, and CEA is 180°. Angle CED has to equal to 20°. I added angle CAD to CED and got 40°. Then I subtracted 40 from 180 and got 140 °.
Hope this Helps!!!
Given: x-5>-2.
Choose the solution set.
O {XIXER,X > -7)
OxIXER, x>-3)
O {XIXER, x > 3)
O XIXER,X>7)
Answer:
The solution set is {x : x ∈ R, x > 3} ⇒ C
Step-by-step explanation:
The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}Let us solve the question
∵ x - 5 > -2
→ Add 5 to both sides of the inequality
∴ x - 5 + 5 > -2 + 5
∴ x > 3
→ By using the first rule above
∴ The solution set is {x : x ∈ R, x > 3}
Help me solve this problem please
I believe the answer is -12x, so sorry if that is incorrect.
Answer:
12x
Step-by-step explanation:
17x+(-5x)=17x-5x=12x
The freshmen competed with the sophomores to see who could raise the most money by recycling. The appropriate design for testing the significance of the difference between the means is
Answer:
Independent-samples t-test.
Step-by-step explanation:
We are looking for the appropriate design for testing the significance of the difference between the means.
Now, there is a parametric test known as the Independent Samples t Test and what this test does is that it compares the mean of two independent groups in order to find out whether there is statistical evidence that the related population mean is significantly different.
Thus, the test to be used here is Independent-samples t-test.
Anyone good at math? I need some help, not as hard as it looks, my brain is just dead will give brainlest
In a local election, four nominees each received a portion of the votes, as shown in the table.
Nominee Voting Portion
Mr. Douglas 9/50
Mrs. Maury 26%
Mr. Hill 7/20
Mrs. Jackson 0.21
Put the nominees in order of how many votes they received, beginning with the winner.
Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas
Mrs. Jackson, Mrs. Maury, Mr. Douglas, Mr. Hill
Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas
Mr. Hill, Mrs. Jackson, Mrs. Maury, Mr. Douglas
Answer:
Hmjd its the third answer
Step-by-step explanation: