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andrezito [222]
3 years ago
15

At noon, ship a is 30 nautical miles due west of ship

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0
Let the origin of the coordinate system be the position of ship B at noon. Then the distance between the ships as a function of t (in hours) is
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)

The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)

At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots

The distance between the ships is increasing at about 28.37 knots at 4 pm.

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Hello, can someone pls help me ty!​
max2010maxim [7]

Answer:

C, 5/2

Step-by-step explanation:

3 I2x -1I + 4 = 16

Isolate absolute value:

3 I2x -1I + 4 - 4 = 16 - 4

3 I2x -1I= 12

(3 I2x -1I) / 3 = 12 / 3

I2x -1I= 4

Since the question is only asking for the positive, all you need to solve for is the +4. Solve for x

2x -1 = 4

2x -1 + 1 = 4 +1

2x = 5

2x / 2 = 5 / 2

x = 5/2 or C

7 0
3 years ago
Use the dot product to find |v| when v = (-2,-1)<br> a. -1<br> b. -3<br> C. Root 5<br> D. Root 3
Firdavs [7]
Answer
Root 5 for sure
5 0
3 years ago
Three horses equally share 16 and 1/5 pounds of hay. How many pounds of hay does each horse receive? answer asap plssss
natka813 [3]

Answer:

They each receive 5.40 pounds of hay

Step-by-step explanation:

16 1/5 ÷3 = 5.40 I checked it by multiplying 5.40×3 and I got the same answer so it should be correct!

7 0
3 years ago
Last night, the two dinner specials at Bob's favorite restaurant were salmon filet and filet mignon. The restaurant served 70 sp
julia-pushkina [17]

Based on the given parameters, the number of filet mignon the restaurant served is 14

<h3>How to determine the number of filet mignon the restaurant served?</h3>

From the question, the given parameters are:

Dinner specials =  salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets =  80%

This means that the proportion of filet mignon is

filet mignon = 100%- Salmon filets

This gives

filet mignon = 100%- 80%

Evaluate the difference

filet mignon = 20%

The number of filet mignon is calculated as:

filet mignon = 20% * Dinner specials

Substitute the known values in the above equation

filet mignon = 20% * 70

Express 20% as decimal

filet mignon = 0.20 * 70

Evaluate the product

filet mignon = 14

Hence, the number of filet mignon the restaurant served is 14

So, the complete parameters are:

Dinner specials =  salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets =  80%

filet mignon = 14

Read more about proportions at:

brainly.com/question/1781657

#SPJ1

6 0
1 year ago
Select the correct answer from the drop-down menu.
saul85 [17]

For this case we have the following factorized expression:

(2y-9) (2y-9)

Applying distributive property we have:

(2y) (2y) - (2y) (9) - (9) (2y) + (9) (9) =\\4y ^ 2-18y-18y + 81 =

We add similar terms taking into account that: Equal signs are added and the same sign is placed.

4y ^ 2-36y + 81

ANswer:

4y ^ 2-36y + 81

3 0
3 years ago
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