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goldenfox [79]
3 years ago
9

Please Help!!

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

Ok, the speed is 18 mph.

The angle is 293°, and we usually measure the angles from the x-axis, so we can write our coordinates of velocity as:

Vx = 18mph*cos(293°) = 7mph.

Vy = 18mph*sin(293°) = -16.6mph.

Then we can write this as a vector (Vx, Vy)

Velocity = (7mph, -16.6mph)

Now, for the position, we can integrate over time, and using that the position (0,  0) is the starting point of the ship, we have that the position vector is:

P(t) = (7mph*t, -16,6mph*t)

Where t is the number of hours after the ship leaved the port.

If t = 0 is 0:00pm, then at 3:30pm we have t = 3 hours and 30 minutes

one hour has 60 minutes, then 30 minutes is equivalent to 0.5 hours.

Then 3:30pm we have t = 3.5 houes.

Now we replace this in the position vector and the location of the ship at 3:30pm is:

P(3.5h) = (7mph*3.5h, -16.6mph*3.5h) = (24.5 mi, -58.1 mi)

Where the first component describes the displacement in the x-axis, and the second component describes the displacement in the y-axis.

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IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with mean 100 and standard deviation 15. About
Marina CMI [18]

Answer:

1 standard deviation

Step-by-step explanation:

Given that :

IQs as measured by the Wechsler Adult Intelligence Scale are approximately Normal with:

Mean = 100

Standard deviation = 15

About 84% of people will have IQs below 115 because:

84% = 0.84

From z - table, 0.84 corresponds to a z- score of about 0.995

0.995 = 1. 00

The z-score gives the number of standard deviations by which a raw score is above or below the average or mean value.

Raw score = 115

Mean = 100

Standard deviation (sd) = 15

Mean + number of sd's

100 + 1(sd)

100 + 1(15) = 100 + 15 = 115

8 0
2 years ago
2) Lucy spent $15, 500 to purchase a new car this year. Lucy can expect her car to depreciate at a rate of 7% per year.
Lelechka [254]

Answer:

<u>Equation: V = C * (1 - r)^t</u>

<u>Answer: $ 8,066.37</u>

Step-by-step explanation:

Let's recall that depreciation on a car can be determined by the formula:

V = C * (1 - r)^t , where:

V is the value of the car after t years,

C is the original cost

r is the rate of depreciation

t is the number of years of utilization of the car

Therefore, we have:

V = C * (1-r)^t

V = 15,500 * (1 - 0.07)⁹

V = 8,066.37 (rounding to the next cent)

5 0
3 years ago
Sammy bought 3 T-shirts for $15.75 each and pairs of jeans for $28.79 each. If the sales tax on his purchases totaled $5.24, how
abruzzese [7]

Answer: $49.78


Step-by-step explanation: $15.75 + $28.79 + $5.24 = $49.78


7 0
2 years ago
Determine whether the following sequence is arithmetic, geometric, or neither.
harkovskaia [24]

Answer:

ok

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Alex, Ian, and Ric together sold 48 tickets for the school fund-raiser. Alex sold 11 tickets and Ian sold 18 tickets. How many t
eimsori [14]
To determine the number of tickets that Ric sold, subtract from the total tickets sold the sum of the number of tickets sold by Alex and Ian. This is mathematically shown as, 

                        tickets (Ric) = tickets (total) - (tickets (Alex) + tickets (Ian))

                                  tickets (Ric) = 48 - (11 + 18) = 19

Hence, Ric sold 19 tickets for the fundraising. 
8 0
3 years ago
Read 2 more answers
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