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frutty [35]
3 years ago
12

Solve c = ab? for b.

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Answer:

b = c/a

Step-by-step explanation:

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What is 32 / 10 equal
kupik [55]

Answer:

3.2. The decimal point moves left once because there's only one 0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
What is the common ratio for the geometric sequence?
Helen [10]
Note this pattern:  Mult. 24 by (-1/4) produces -6.
                              Mult -6 by (-1/4) produces 6/4 = 3/2
                             Mult. 3/2 by (-1/4) produces 3/8

Looks as though you copied the problem down incorrectly.  You wrote 32 for 3/2 and -38 for -3/8.

The common ratio is -1/4.

5 0
3 years ago
Read 2 more answers
A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 or
maw [93]

Answer:

13

Step-by-step explanation:

Given parameters:

Number of oranges processed by grower  = 2330 oranges

Number of oranges per crate  = 96

Unknown:

Number unpacked oranges

Solution:

To solve this problem, divide the total number of oranges by the number of oranges per crate;

  Number of unpacked oranges  = \frac{2330}{96}  

  Number of unpacked oranges  = 24 \frac{13}{48}  

The remaining unpacked is 13.

7 0
3 years ago
How can you use the multiplication property of equality to rewrite the equation 0.6x + 4.8 = 7.2
Kobotan [32]
0.6x + 4.8 = 7.2 

0.6x=7.2-4.8 

0.6x=2.4 

x=4
7 0
3 years ago
Read 2 more answers
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