MATHEMATICS HIGH SCHOOL

Compare 7∕8 with 14∕16 using ( <, >, =).A. 7∕8 < 14∕16
B. 7∕8 > 14∕16
C. 7∕8 = 14∕16

Answers

Answer 1
Answer: Hey there, I think this will help.

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How do you multiple and divide complex numbers?

Answers


A complex number is a binomial . . . . ( a + ib ).

To multiply two of them, just FOIL them, like you would  (2x+1)(x-3) .
But while you're FOILing around, just be careful how you handle the " i "s.

To divide them is another story.  I took a whole semester course
in complex numbers once, and I think we spent about 2 weeks
on dividing them.  Your question is valid, but I think the answer is
too complicated to try and present here ... and plus I don't remember
how to do it ... so I'm simply going to not answer the second part
but take your points anyway.  

=====================================

I just read the other answer, posted by  Andrewmj2002, and
he has some good stuff there for dividing.  I just want to clean up
some of what he said:

-- To divide complex numbers, you'll make a fraction, with one
complex number in the numerator, and the other one in the
denominator.

-- Find the complex conjugate of the denominator.  That's just
a new complex number with the same real part but the negative
of the same imaginary part.

Example:  The complex conjugate of  (A + iC)  is  (A - iC) .

--  Multiply both the numerator and denominator of your big fraction
by this conjugate of the denominator.
Since you're multiplying both the numerator and denominator by
the same quantity, you're not changing the value of the fraction. 
But after you finish FOILing the numerator and denominator,
the numerator becomes a single, complex binomial, and the
denominator becomes all real !

--  Simplify, and you have the quotient of your original complex numbers.

Please help, thank you :)​

Answers

Answer:

2a=2

Step-by-step explanation:

math is the answer =)

Find the first six terms of the sequence. a1 = 4, an = an-1 + 8

OPTIONS ARE
a. 0, 8, 16, 24, 32, 40
b. 12, 20, 28, 36, 44, 52
c. 4, 12, 20, 28, 36, 44
d. 4, 8, 16, 24, 32, 40

Answers

The arithmetic sequence:
a 1 = 4,  a n = a n-1 + 8,  d = 8
a 2 = 4 + 8 = 12
a 3 = 12 + 8 = 20
a 4 = 20 + 8 = 28
a 5 = 28 + 8 = 36
a 6 = 36 + 8 = 44
Answer:
C ) 4, 12, 20, 28, 36, 44

Answer:

(C) 4, 12, 20, 28, 36, 44

Step-by-step explanation:

Given: a_(1)=4 and a_(n)=a_(n-1)+8

To find: Find the first six terms of the sequence

Solution: Since, it is given that a_(1)=4 and a_(n)=a_(n-1)+8, then the first term is 4 and the common difference, d=8.

Thus, the next terms are:

a_(2)=a_(1)+8=4+8=12,

a_(3)=a_(2)+8=12+8=20,

a_(4)=a_(3)+8=10+8=28,

a_(5)=a_(4)+8=28+8=36 and

a_(6)=a_(5)+8=36+8=44

Thus, the first six terms of the sequence will be 4, 12, 20, 28, 36, 44.

thus, option C is correct.

Since the creation of a social program, the percent of persons 65 years and over with a family income below the poverty level has declined.  The percent can be approximated by the function P(t)=30.71-5.77ln t, where t is the number of years since 1965.  Find the percent of persons 65 & over with family income below the poverty level and the rate of change in 1970.

i know how to find the percent, but don't know how to find the rate of change.  Please help!

Answers

actually rate means anything divided by time......hope it helps

help please !!!Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 40% lemon juice and 60% lime juice to make 6 gal of the 50% lemon/50% lime juice mixture?

Answers

so basically, he wants to make mixture where lemon=lime

it is 6 gallons so
40% of 6=0.4 times 60=2.4=lemon
60% of 6=0.6 times 60=3.6=lime
so to make them equal
3.6-2.4=1.2
he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime

1.2 gallons is the answer

Question: Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 40% lemon juice and 60% lime juice to make 6 gal of the 50% lemon/50% lime juice mixture?

Answer: 1 Gallon

The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = 216\ yd^2.

Then , we have

216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18
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