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3 years ago

What is the additive version of the complex number -8+3i

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

8-3i

Step-by-step explanation:

The complex additive inverse is the number we need to add so that we get zero. It is the negative of the number.

a + bi is –(a + bi) = –a – bi.

a+bi + (-a+-bi) = a-a + bi-bi = 0

The complex additive invers of -8+3i is

-(-8+3i)

Distribute the negative

8 -3i

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The radioactive substance cesium-137 has a half-life of 30 years. The amount A (t)(in grams) of a sample of cesium-137 remaining

lakkis [162]

Rather than use that formula, look at the attachment and use the 4th equation.

Ending Amount = Beginning Amount / 2^n
where "n" is the number of half-lives. "n" = elapsed time / half-life
(Is 934 the beginning amount? Let's say it is.)

for 40 years, n=40/30 = 1.3333333...
Ending Amount = 934 / 2^1.3333333...
Ending Amount = 934 / 2.5198420998 
Ending Amount = 370.66 grams

for 100 years, n=100/30 = 3.333333 ...
Ending Amount = 934 / 2^ 3.333333 ...
Ending Amount = 934 / 10.0793683992 
Ending Amount = 92.66 grams

Source:
http://www.1728.org/halflife.htm

4 0

3 years ago

What is 70% of 66 ? plz help me

Dmitry_Shevchenko [17]

46.2
you do 70/100=x/66
then cross multiply so (70•66)=100x
then you get 4620=100x
then you divide both sides by 100 and get x=46.2

5 0

3 years ago

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

Veseljchak [2.6K]

Degree = 4

Maximum possible number of terms for = 5

Solution:

Given expression:

$\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)$

To multiply the trinomial by a trinomial:

$\left(x^{2}+x+2\right)\left(x^{2}-2 x+3\right)$

Multiply each of the first term by the each of the second term.

$=x^{2}(x^{2}-2 x+3)+x(x^{2}-2 x+3)+2(x^{2}-2 x+3)$

$=(x^{4}-2 x^3+3x^2)+(x^{3}-2 x^2+3x)+(2x^{2}-4 x+6)$

Remove the brackets and arrange the terms with same powers together.

$=x^{4}-2 x^3+x^{3}+3x^2-2 x^2+2x^{2}+3x-4 x+6$

$=x^{4}- x^3+3x^2- x+6$

The product of the trinomials is $x^{4}- x^3+3x^2- x+6$ .

Degree is the highest power of the variable.

Degree = 4

Maximum possible number of terms for = 5

3 0

3 years ago

Read 2 more answers

3) What percent of 80 is 52?

RoseWind [281]

Answer: 65 percent is the answer

5 0

3 years ago

Help Please !!!(-.-;)y-~~~

densk [106]

Answer:

For employee 1 = 2.5

For employee 2 = 8.6

For employee 3 = 4.4

For employee 4 = 10

For employee 5 = 24

Step-by-step explanation:

number of hour worked= H

total money earned =T

earning per hour =M

we have the following relations:

H =T/M

M =T/H

For employee 1 we have:

T=23.75$

M =9.50$

We calculate H by using the above equations, so we have:

H =23.75/9.50= 2.5

For employee 2 we have:

T=28.38 $

H =3.3

We calculate M by using the above equations, so we have:

M =28.38/3.3 =8.6

For employee 3 we have:

T=38.50$

M =8.75$

We calculate H by using the above equations, so we have:

H =38.50/8.75= 4.4

For employee 4 we have:

T=55 $

H =5.5

We calculate M by using the above equations, so we have:

M =55/5.5=10

For employee 5 we have:

T =60 $

H =2.5

We calculate M by using the above equations, so we have:

M =60/2.5 = 24

4 0

4 years ago