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3 years ago

7

A motorboat left a harbor and traveled to an island at an average rate of 10 knots. The average speed on the return trip was 10

knots. If the total trip took 4.0 hours, how far is the harbor from the island?

1 answer:

Illusion [34]3 years ago

5 0

Answer:

A on edu2020

Step-by-step explanation:

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The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)^6 are _____.

Kryger [21]

Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1

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3 years ago

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At Garcia's Bike Rentals, it costs $13 to rent a bike for 3 hours. How many dollars does it cost per hour of bike use?

Naily [24]

Answer:

$4.33

Step-by-step explanation:

3 hours -> $13

1 hour -> $13/3 = $4.33

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2 years ago

Find the values of x and y

pantera1 [17]

Answer:

x = 15°

y = 59°

Step-by-step explanation:

Angles at a right angle add up to 90°

41 + y = 90

y = 90 - 41

y = 59°

Angles in a triangle add up to 180°

41 + (2x - 9) + 7x + 13 = 180

41 + 13 - 9 + 2x + 7x = 180

45 + 9x = 180

9x = 180 - 45

9x = 135

x = 135/9

x = 15°

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3 years ago

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Figure one and figure 2 are similar quadrilaterals. Which proportion must be true?

amm1812

Step-by-step explanation:

option C is the correct answer of this question

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3 years ago

What is the present value of $3,000 per year for 9 years discounted back to the present at 10 percent?

Studentka2010 [4]

Answer:

$17,277.07

Step-by-step explanation:

Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is

PV of annuity = $\frac{P[1-(1+r)^{-n}]}{r}$

= $\frac{3000[1-(1+0.10)^{-9}]}{0.10}$

= $\frac{3000[1-(1.10)^{-9}]}{0.10}$

= $\frac{3000[1-0.4240976184]}{0.10}$

= $\frac{3000(0.5759023816)}{0.10}$

= $\frac{1,727.7071448}{0.10}$

= 17,277.071448 ≈ $17,277.07

3 0

2 years ago