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gavmur [86]
3 years ago
11

How do I simplify 3⁶ x 3⁵​

Mathematics
2 answers:
elena55 [62]3 years ago
6 0

Answer:

3^{11}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)} thus

3^{6} × 3^{5} = 3^{(6+5)} = 3^{11}

IgorC [24]3 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ {3}^{11} }}}}}

Step-by-step explanation:

\sf{ {3}^{6}  \times  {3}^{5} }

Add the indices and take the same base

\dashrightarrow{ \sf{ {3}^{6 + 5} }}

\dashrightarrow{ \boxed{ \sf{ {3}^{11} }}}

Hope I helped!

Best regards! :D

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A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
What is the answer for this equation?
puteri [66]
Is there a picture to go along with it? Because it's asking for the measure of ABD which is a triangle or a ray or something
6 0
3 years ago
I need help please thanks
maksim [4K]

Answer:

Equation: \frac{4}{3}x - 3

Step-by-step explanation:

Slope = 4/3

Y-intercept = -3

Therefore;

Equation: y = mx + b

Equation: \frac{4}{3}x - 3

Hope this helps!

6 0
3 years ago
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