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3 years ago

Express the following in scientific notation: 0.0000079

Mathematics

2 answers:

makkiz [27]3 years ago

5 0

Answer:

Hey there!

7.9 × 10-6 is your answer.

Hope this helps :)

Law Incorporation [45]3 years ago

4 0

Answer:

7.9 * 10 ^-6

Step-by-step explanation:

Move the decimal 6 places to the left so there is one number before the decimal

0.0000079

7.9

The exponent is -6 ( negative because we moved it to the left)

7.9 * 10 ^-6

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If Uber charges $12 for a ride plus $2 per mile, write an equation for the cost (where x is the miles)

Luba_88 [7]

Answer:

12 + 2x = y

Step-by-step explanation:

y would be the total cost

7 0

3 years ago

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Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?

Dimas [21]

Option C: –10, –7.5, –5, –2.5, … is the sequence.

Explanation:

The given recursive formula is $f(n+1)=f(n)+2.5$ for $n\geq 1$

We need to determine the sequence.

The sequence can be determined by substituting n = 1, 2, 3, 4,....

And $f(1)=-10$

2nd term of the sequence:

Substituting n = 1 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(1+1)=f(1)+2.5$

Simplifying, we have,

$f(2)=-10+2.5=-7.5$

Thus, the 2nd term of the sequence is -7.5

3rd term of the sequence:

Substituting n = 2 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(2+1)=f(2)+2.5$

Simplifying, we have,

$f(3)=-7.5+2.5=-5$

Thus, the 3rd term of the sequence is -5

4th term of the sequence:

Substituting n = 3 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(3+1)=f(3)+2.5$

Simplifying, we have,

$f(4)=-5+2.5=-2.5$

Thus, the 4th term of the sequence is -2.5

Therefore, the sequence is –10, –7.5, –5, –2.5, …

Hence, Option C is the correct answer.

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3 years ago

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On Monday Ravi drives for 4 hours.

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

On Monday Ravi drives for 4 hours.

His average speed is 30 mph.

How far does Ravi drive on Monday?

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3 years ago

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Giving branliest pls help

Natasha2012 [34]

Answer:

${( \frac{ {2x}^{4} {y}^{4} }{ {4x}^{2} } )}^{3} \\$

open the bracket:

$= \frac{ {2x}^{(4 \times 3)} {y}^{(4 \times 3)} }{ {4x}^{(2 \times 3)} } \\$

simplify:

$= \frac{ {2x}^{12} {y}^{12} }{ {4x}^{6} } \\$

group x terms together:

$= ( \frac{ {2x}^{12} }{ {4x}^{6} } ) \times {y}^{12} \\ \\ = (\frac{ {x}^{(12 - 6)} }{2} ) \times {y}^{12} \\ \\ = \frac{ {x}^{6} }{2} \times {y}^{12}$

factorise out power 6:

${ \boxed{= \frac{ {(xy {}^{2}) }^{6} }{2} }}\\$

3 0

3 years ago

Find the asymptotes of the hyperbola described by the equation: y2/9 - x^2/81=1. ANSWERS ATTACHED, due in 2 HOURS, will give Bra

Kisachek [45]

Answer:

Solution : y = ± 1/3x

Step-by-step explanation:

Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.

To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)

a² = 9

a = 3

b² = 81

b = 9

Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.

8 0

4 years ago