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3 years ago

A bird flies at an average speed of 62 miles an hour.

Mathematics

1 answer:

zhenek [66]3 years ago

3 0

Answer:

434 miles

Step-by-step explanation:

1hr = 62 miles

7hr = 434 miles

62 times 7 = 434

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Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n cubed minus n Over n squared + 5 n En

Dominik [7]

Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

$\to a_n=\frac{n^3-n}{n^2+5n}$

$\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}$

$= \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\$

Denominator $= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1$

Numerator $=\lim_{n\to \infty}n-\frac{1}{n}=\infty$

$\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty$

7 0

3 years ago

Read 2 more answers

If using the method of completing the square to solve the quadratic equation x^2-5x-18=0x 2 −5x−18=0, which number would have to

MAVERICK [17]

Answer:

25/4 will have to be added to "complete the square"

Step-by-step explanation:

x² - 5x - 18 = 0

x² - 5x = 18

Find the half of the coefficient of x and square it

(5/2)² = 25/4

Add 25/4 to both sides to complete the square

x² - 5x + 25/4 = 18 + 25/4

x² - 5x + 25/4 = 18(4/4) + 25/4

x² - 5x + 25/4 = 72/4 + 25/4

x² - 5x + 25/4 = (72+25)/4

x² - 5x + 25/4 = 97/4

(x - 5/2)² = 97/4

Find the square root of both sides

√(x - 5/2)² = ±√97/4

x - 5/2 = √97/2

x = √97/2 + 5/2 or x = -√97/2 + 5/2

x = 7.42443 or -2.42443

8 0

3 years ago

Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the

tamaranim1 [39]

Answer:

Jason Inherit a land with a 45% chance of having oil.

Step-by-step explanation:

The probability of the land having oil is = P ( O) = 45 /100

The probability of the land having oil is= Q(O ) =55/100

The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.

The probability of the correct reading is= P(M)=80/100

The probability of the incorrect reading is=Q(M)=20/100

The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading

Probability=P(O) x Q(M)

Probability=45/100 x 20/100

Probability=9/100

The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%