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AleksandrR [38]
3 years ago
8

Choose the correct simplification of the expression b5 ⋅ b4. b b9 b20 b−1

Mathematics
2 answers:
ratelena [41]3 years ago
7 0

For this case we have the following expression:

b ^ 5b ^ 4

We must consider the following property of the exponents.

  • <em>In multiplication, when we have the same base, the exponents are added. </em>

Rewriting the given expression we have:

b ^ 5b ^ 4 = b ^ {(5 + 4)}\\b ^ 5b ^ 4 = b ^ 9

Answer:

the correct simplification of the expression is:

b ^ 5b ^ 4 = b ^ 9


Romashka-Z-Leto [24]3 years ago
7 0
When multiplying like terms, you add the exponents:

b^5 · b^4 = b^(5+4) = b^9

FYI - when <em>dividing </em>like terms, subtract the exponents.

The only time we multiply exponents is when they distribute across parentheses:
(x³)² = x^6
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Area = area of square + area of two right angled triangles

{ \tt{area = (s \times s) + 2( \frac{1}{2}  \times b \times h)}} \\  \\ { \tt{area = (6 \times 10) + (3 \times 5)}} \\  \\ { \underline{ \tt{ \:  \: area = 75 \:  \:  {m}^{2}  \:  \: }}}

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This will be 2400 cause there is nothing in the ones place
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Solve 2 more please?
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3 years ago
Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t
morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = \dfrac{s.p - c.p}{c.p}

I.e 40% =  \dfrac{s.p - 18.10}{18.10}

Or, \dfrac{40}{100} + 1 = \dfrac{s.p}{18.10}

Or, \dfrac{140}{100} =  \dfrac{s.p}{18.10}

Or, s. p = \dfrac{140\times 18.10}{100}

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = \dfrac{\textrm estimated cost}{\textrm estimated total base unit}

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = \dfrac{\textrm profit}{\textrm estimated cost}

I.e The profit rate% = \dfrac{21.29}{4.05}

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41  Answer

4 0
3 years ago
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