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3 years ago

An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per hour?

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Ur answer is 695 km/hr hope that helps

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OLga [1]

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3 years ago

Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c

olya-2409 [2.1K]

Answer:

$f(n)=64(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

$r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}$

$r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}$

$r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}$

It is a geometric series because it has a common ratio $r_1=r_2=r_3=\dfrac{1}{4}$ .

First term is 64.

The explicit formula of a geometric series is

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

where, a is first term and r is common ratio.

Substitute a=64 and r=1/4 in the above function.

$f(n)=64(\frac{1}{4})^{n-1}$

Therefore, the required explicit formula is $f(n)=64(\frac{1}{4})^{n-1}$ .

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3 years ago

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Solve x^5-4x^3 is less than or equal to 0

Aleks04 [339]

Solve for x over the real numbers:
x^3 (x^2 - 4) = 0

Split into two equations:
x^3 = 0 or x^2 - 4 = 0

Take cube roots of both sides:
x = 0 or x^2 - 4 = 0

Add 4 to both sides:
x = 0 or x^2 = 4

Take the square root of both sides:
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3 years ago

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Pavlova-9 [17]

Between two rational numbers there are an infinite number of irrational numbers.

Example:

$- 5 \sqrt{3} -\sqrt{2}= 5 \times 1.7320508 - 1.41421356 \approx -10.0744676\\\\
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3 years ago

What is 18 less than the quotient of a number and 3 as an expression

makvit [3.9K]

Answer:

n/3 - 18

Step-by-step explanation:

"quotient of a number and 3" is n/3, and so

"18 less than the quotient of a number and 3" as an expression is:

n/3 - 18

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3 years ago

An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per​ hour?

An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per hour?