3 years ago

Simplify the expression.

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

For this case we must simplify the following expression: $(x ^ {\frac {3} {2}}) ^ 6$

We have that by definition of properties of powers that is fulfilled:

$(a ^ n) ^ m = a ^ {n * m}$

Then, rewriting the expression:

$x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9$

ANswer:

Option D

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10. The bill (including parts and labor) for the repair of an oven was $142. The cost

Lubov Fominskaja [6]

Total cost=$142

cost of parts=$62

cost paid for labour=$142-$62=$80

According to question,

》cost of labour per hr=$32

which can be written as,

》cost of labour/time=$32

Use cross multiplication,

》time=cost of labour/32

Since cost of labour is 80,

Time=80/32

=2.5hrs

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3 years ago

Karl's car went 550 miles on 33 gallons of gas. Which equation does NOT give the correct unit rate, x, in miles per gallon for K

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3 years ago

Read 2 more answers

Find the first five terms of the sequence given the following recursive formula:

forsale [732]

Answer:

The first five terms are;

-3,-7,11,-29,69

Step-by-step explanation:

The recursive definition of the sequence is

$a_1=-3,$ , $a_2=-7$ and $a_n=a_{n-2}-2a_{n-1}$ .

When n=3, we obtain;

$a_3=a_{3-2}-2a_{3-1}$ .

$\implies a_3=a_{1}-2a_{2}$ .

$\implies a_3=-3-2(-7)$ .

$\implies a_3=11$ .

When n=4

$\implies a_4=a_{2}-2a_{3}$ .

$\implies a_4=-7-2(11)=-29$ .

When n=5

$\implies a_5=a_{3}-2a_{4}$ .

$\implies a_4=11-2(-29)=69$ .

Therefore the first five terms are;

-3,-7,11,-29,69

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3 years ago

Predict the next three numbers in the pattern.

bekas [8.4K]

The pattern is dividing by 2 every time so the next 3 numbers will be 1/8, 1/16, 1/32

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3 years ago

Which expression is equal to (−12−2i)+(2+2i)?

Step2247 [10]

(-12 - 2i) + (2 + 2i)
= -12 - 2i + 2 + 2i
= -12 + 2 - 2i + 2i
= -10

Answer: -10

6 0

3 years ago