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erma4kov [3.2K]
3 years ago
14

For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars

for each movie write an explicit and recursive rule for the sequence
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

Move 100 to the left of a

100 a

List of all of the solutions

ax100=100a

12= 100a

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If log6⁡⁡3+log6⁡⁡72=x, what is the value of x?
soldi70 [24.7K]
\bf \textit{logarithm of factors}\\\\
log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\\\\\
\textit{Logarithm Change of Base Rule}\\\\
log_{{  a}}{{  b}}\implies \cfrac{log_{{  c}}{{  b}}}{log_{{  c}}{{  a}}}\\\\
-------------------------------\\\\
log_6(3)+log_6(72)=x\implies log_6(3\cdot 72)=x\implies log_6(216)=x
\\\\\\
\cfrac{log(216)}{log(6)}=x\impliedby \textit{using the change of base rule}

recall that, log <--- with no apparent base, implies base10, so you can just plug that in your calculator

for the change of base rule, it doesn't really matter what base you use, so long is the same above and below, it just so happen, that we used base10 in this case, but could have been anything, same result.
8 0
3 years ago
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salantis [7]

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20cm square

Step-by-step explanation:

7 0
2 years ago
A triangle's measures are in the extended ratio of 2:4:9 find the measures of angles
Margaret [11]

Answer:

24°:48°:108°

Step-by-step explanation:

Since the sum of angles in a triangle is 180°, we can do 180÷15 to find the degree for 1 in the ratio. 180÷15 = 12.

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12°×4 = 48°

12°×9 = 108°

The ratio is 24°:48°:108°

7 0
2 years ago
The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of Earth from the Sun is 1.5
ch4aika [34]
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5 0
3 years ago
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What is the slope of a line perpendicular to the line whose equation is x - y = -3.
Scorpion4ik [409]

Answer:

m2 = - 1

Step-by-step explanation:

Subtract x  from both sides of the equation

-y = - x - 3      

Divide by - 1

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y = x + 3

The slope of the line we were given is 1. The 1 is in front of the x

m1 * m2 = - 1

m1 = 1

1*m2 = - 1

m2 = - 1

6 0
2 years ago
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