Let z = 9 – 2i and zw = 25 + 70i.
What is w?
1 + 8i
1 – 8i
–1 + 8i
–1 – 8i
Answer:
1+8i
Step-by-step explanation:
Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.
What are complex numbers?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.
= (9 - 2i)(1 + 8i)
= 9 + 72i - 2i -16i^2
= 9 + 70i + 16 (i^2 = -1)
= 25 + 70i
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A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows.
Production Requirement by Product
Department
(hours)
Departmental Capacity
(total hours)
A
B
Assembling
2
30,000
Painting
1
38,000
Finishing
2
28,000
What is the maximum profit in this model?
3
ONN
2
1
O A. $57,000
OB. $95.000
C. $225,000
D. $75,000
9514 1404 393
Answer:
C. $225,000
Step-by-step explanation:
The utilization for each department must be at most the available capacity. Each product quantity must be non-negative.
You could almost guess the answer here because the profit on product C is so much higher than for the others.
Profit is maximized by producing as much of product C as possible. That quantity is limited by the assembly hours constraint: 2C ≤ 30,000. This permits production of 15,000 units, so gives a profit of ...
$15·15,000 = $225,000 . . . maximum profit
jacobs exercise goal last month was to do 2,000 push ups and 2,500 sit ups. He reached 3/4 of hosgoal for push ups and 9/10 of his goal for sits ups. How many combined push ups and sit ups did jacob do last month?
Answer: 1930
Step-by-step explanation:
Answer:1930
Step-by-step explanation:
A shirt is on sale for 25% off, and the total comes out
to $15. What is the original price?
Answer:
$18.75
Step-by-step explanation:
Do you think that T I K T O K will be not allowed to operate in the United States?
Explain.
Answer:
Step-by-step explanation:
I think it will not because there are a lot of tiktokers and a big amount of tik tok users
Answer:
yes
Step-by-step explanation:
Lucas owed his friend 12$. He got some money from babysitting and was able to pay his friend back $8. What is his balance now?
~find an equation to match this word problem and solve~
Plz i need it right now thanksss
Answer:
balance $4
Step-by-step explanation:
12 - 8 = 4
Answer:
$4
Step-by-step explanation:
$ = 12 - 8
12 - 8 = $4
Round 34,138 to the nearest thousand??
Answer:
34,138 to the nearest thousand is 34,000!
Step-by-step explanation:
Hope this helps! Good luck! <3
Answer:
0
Step-by-step explanation:
apple music sells music online. yesterday, its customers downloaded a total of 7,950 songs. today, they downloaded 5,883 songs. billy says that the percent of decrease in the two-day count of downloads is 35%. is billy correct or incorrect? explain your answer in a complete sentence.
Answer:Billy is correct
Step-by-step explanation:
is this correct I made an educated guess because I don't really understand it
Answer:
Option (2)
Step-by-step explanation:
A function 'f' has been given as,
f(x) = 3x + 1
And the inverse of this function is,
[tex]f^{-1}(x)=\frac{x-1}{3}[/tex]
We have to find the value of f(2).
So we will use the expression: f(x) = 3x + 1
By substituting x = 2 in this function,
f(2) = 3×2 + 1
= 6 + 1
= 7
This result tells us the value of the function at x = 2.
Therefore, Option (2) will be the answer.
Over the past week, 40% of the phone calls to Alicia's cell phone were from her son. Let's say you know that her son called her 12 times. Find out how many total calls she received from her son.
Answer:
40%
Step-by-step explanation: hope this helps
Answer:
She received 12 calls from her son and 30 calls in total.
Step-by-step explanation:
40% of 30 is 12.
check whether (x+7) is a factor of (x^2 +4x - 24). Give reason
Need a step by step answer please
Answer:
x=10
Step-by-step explanation:
x+2+x=22
combine like terms x + x to get 2x:
2x + 2 = 22
subtract 2 on both sides:
2x = 20
divide by 2 on both sides to isolate x:
x=10
Factors are the numbers used to multiply. True False
Answer:
True
Step-by-step explanation
1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is
Answer: 15 an ummm fine
Step-by-step explanation:
Answer:
15 is the correct answer
Show every subsequence of a subsequence of a given sequence is itselfa subsequence of the given sequence. Hint: Define subsequences asin (3) of Definition 11.1 g
Answer: Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
Step-by-step explanation:
If you suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all representing three sequences respectively, and you also suppose that [tex]A_{n}[/tex] is a subset (in other words subsequence) of [tex]K_{n}[/tex] and [tex]K_{n}[/tex] is a subset (in other words subsequence) of [tex]S_{n}[/tex], where n takes its values from the set of positive integers. We can safely say that [tex]A_{n}[/tex] is a subsequence of [tex]S_{n}[/tex] and this can demosnstrated mathematically as follows:
Suppose that [tex]S_{n}[/tex], [tex]K_{n}[/tex] and [tex]A_{n}[/tex] are all sequences, also suppose that [tex]A_{n}[/tex] ⊂ [tex]K_{n}[/tex] ⊂ [tex]S_{n}[/tex] ∀ [tex]n[/tex] ∈ [tex]Z^{+}[/tex]. This implies that [tex]A_{n}[/tex] ⊂ [tex]S_{n}[/tex] as required.
y2 - 3y + 7 for y= -2
please help me
Answer:9
Step-by-step explanation: -2x2-3x-2+7=9
Answer:
9
Step-by-step explanation:
(-2x2) - (3x-2) + 7 = 9
What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?
What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
Answer:
slope = -1 or -x
Step-by-step explanation:
Do y2-y1/x2-x1
Plug in
-1 - 4/ 2 - -3 = -5/5
(Simplify)
-1 so the slope is
-1 or -x
If you want to find the equation use one of the points you have.
4 = -1(-3) + b
4 = 3 + b (subtract 3 on each side)
1 = b
y = -1x + 1 is the equation
A box of shredded wheat wheat weighs 0.35 .kg and a box of weetabix weighs 9/25 kg. Which box is heavier? Show your work.
Answer:
weetablx is heavier
Step-by-step explanation:
lets simplify
wheat wheat - 0.35 kg
weetablx - 9/25
simplify into decimals
wheat wheat- 0.35 kg
weetablx- 0.36 kg
brainliest appreciated!
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
0.8 of an inspection in 1 hour
4 inspections in 5 hours
1.25 inspections in 1 hour
5 inspections in 4 hours
Answer:
1.25 inspections in an hour
so it is c!
10/8= 1.25
Answer:
its c
Step-by-step explanation:
lol xd rawr (i hate myself)
Prove that cos x + cos 3x + cos 5x + cos 7x = 4cos x cos 2x cos 4x
Step-by-step explanation:
Prove the following?
cos7x+cos5x+cos3x+cosx=4cosxcos2xcos4x
2
SEE ANSWERS
Answer
3.4/5
36
LHS=cos7x + cos5x + cos3x + cosx
=2cos[(7x+5x)/2].cos[(7x-5x)/2] + 2cos[(3x+x)/2].cos[(3x-x)/2]
[∵ cosA + cosB = 2.cos[(A+B)/2].cos[(A-B)/2]]
=2cos[(12x)/2].cos[(2x)/2] + 2cos[(4x)/2].cos[(2x)/2]
=2cos 6x.cosx+2cos2x.cosx
=2cosx(cos 6x+ cos 2x)
=2.cosx(2cos[(6x+2x)/2].cos[(6x-2x)/2]
=2.cosx(2cos4x.cos2x)
=4.cosx.cos2x.cos4x
=RHS.
hope this helps you!!!!! :))))))))
Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.
Answer:
4 pounds a month
Step-by-step explanation:
is that what you're looking for
The average weight lost per month is 5 pounds.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.
Total weight lost = 24 + 16 = 40 pounds
Total time taken to lose the weight = 6 + 2 = 8 months
Average weight lost = Total weight / Total time
= 40 / 8
= 5
Hence there is a weight of 5 pounds lost per month.
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Answer all parts please.
Answer:
no
Step-by-step explanation:
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Nick's sister is 7 years less than twice Nick's age, a. The sum of Nick's age
and his sister age is 41. Which equation represents this relationship?
Answer: a+(2a - 7) = 41
Step-by-step explanation:
Let be "a" the Nicci's age and "s" the Nicci's sister.
You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation
A=1/2h(a+b), solve for a
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
use benchmarks to estimate the sum 11/15 +1/8
Answer:
103/120
Step-by-step explanation:
It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.
How much does it cost to send 12 one-pound boxes by Express Mail?
What is the slope of the line whose equation is 12=4x-6y?
Answer:
slope is 2/3
Step-by-step explanation:
12=4x-6y
We add 6y both sides
12+6y=4x
than subtract 12 from both sides
6y=4x-12
than divide both sides by 6
y=2/3x-2
and the slope is 2/3
Which set of ordered pairs represents a function?
o {(1,3) (2,5) (4, 9) (4, 13)}
o {(1,3) (1,5) (4, 9) (6,3)}
o {(1,3) (2,5) (2,9) (6, 13)
o {(1,3) (2,5) (4,9) (6,5)}
pls help
If 6 pounds of apples cost $9, how much would 21 pounds of apples cost?
Answer:
$31.50
Step-by-step explanation:
divide 9 by 6 to get the price per pound ($1.50), then multiply that by 21 to get the close of 21 pounds of apples ($31.50)