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2 years ago

The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

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Write each sequence as a function.

Fiesta28 [93]

Answer: $f(n)=3^{n-1}$

Step-by-step explanation:

Given Recursive formula : $a_{n+1} = 3a_n,$ , $a_1=1$

Then, $a_2=a_{1+1} = 3a_1=3(1)=3$

$a_3=a_{2+1} = 3a_2=3(3)=9$

$a_4=a_{3+1} = 3a_3=3(9)=27$

We can write it as : $f(n)=3^{n-1}$

such that

n $f(n)=3^{n-1}$

1 $f(1)=3^{1-1}=1$

2 $f(2)=3^{2-1}=3^1=3$

3 $f(3)=3^{3-1}=3^2=9$

Hence, the required function: $f(n)=3^{n-1}$

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2 years ago

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Help me and thx alot

Svet_ta [14]

Answer:

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Step-by-step explanation:

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2 years ago

When counting from 5 what number follows 4

Kryger [21]

Answer:

3 is the answer

Step-by-step explanation:

5.........4............3..............2...............1

so 3 follows 4

4 0

3 years ago

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Explain how Cavalieri’s principle can be used to find the volume of any solid.

Kruka [31]

Answer:

Cavalier's principle can be used to find the volume of any solid.

Step-by-step explanation:

Cavalier's Principle:

Cavalier introduced parallel planes and area to describe the relationship between solids.
Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.

Suppose two regions are included between two parallel planes.
If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
The formula for the volume of a prism is the area of the base times the height.

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2 years ago

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry c

prisoha [69]

Answer:

t = 5

Step-by-step explanation:

$19 + 4t = 39$
$4t = 20$ Subtract 19 from 39
$\frac{4t}{4} = \frac{20}{4}$ Divide by 4
$t = 5$

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3 years ago