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3 years ago

Find the slope of the line. A. 1/3 B. - 1/3 C. 3 D. -3

Mathematics

1 answer:

BARSIC [14]3 years ago

3 0

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (0, -2) and (6, 0).

Substitute:

$m=\dfrac{0-(-2)}{6-0}=\dfrac{2}{6}=\dfrac{1}{3}$

<h3>Answer: A. 1/3</h3>

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A plane takes off from an airport on a bearing of 270° and travels at a speed of 320 mph. after sometime and flight, space the p

ratelena [41]

The speed of the plane after it encounters the wind is C.285mph

<h3>How to calculate the speed of the plane when it encounters the wind?</h3>

Since the plane takes off from an airport on a bearing of 270° and travels at a speed of 320 mph it's velocity is v = (320cos270°)i + (320sin270°)j

= (320 × 0)i + (320 × -1)j

= 0i - 320j

= - 320j mph

Also, the plane encounters a 35 mph wind blowing directly north. The velocity of the wind is v' = 35j mph

So, the velocity of the plane after it encounters the wind is the resultant velocity, V = v + v'

= -320j mph + 35j mph

= -285j mph

So, the speed of the plane after it encounters the wind is the magnitude of V = |-285j| mph

= 285 mph

So, the speed of the plane after it encounters the wind is C.285mph

Learn more about speed of plane here:

brainly.com/question/3387746

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8 0

2 years ago

What is 5,000,000 x 7,528,826

Allisa [31]

Answer:

3.7644133+13 is the answer

5 0

3 years ago

Omar buys a pack of 8 towels for 24.00 find the unit price in dollar per towel

mezya [45]

Answer:

um 3

Step-by-step explanation:

whats 24 divided by 3 mate? 3

i mean all u need is a calculator im dumb as hell and i know that...

hope...this helps you :) have a great day

3 0

3 years ago

Read 2 more answers

Lucy have $6400 if she invests<br> $1200 at 15% interest<br> compounded quarterly?

svet-max [94.6K]

Answer:

11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

6400 = 1200(1 +0.15/4)^(4t)

16/3 = 1.0375^(4t) . . . . divide by 1200

log(16/3) = 4t·log(1.0375) . . . . take logarithms

t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

8 0

3 years ago

Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

$P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444$

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

$P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333$

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172$

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

5 0

3 years ago