1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mafiozo [28]
3 years ago
14

Factor completely 50a2b5 − 35a4b3 + 5a3b4

Mathematics
1 answer:
leva [86]3 years ago
4 0
The answer is 20ab6.
You might be interested in
What is the sum of the last four terms of the series 7+9+11+...21
Sidana [21]

For sake of convenience, reverse the series, then it would be:

21,19,17.....7

a=21, d = -2,

s(4) = 4/2 (21+15)

s(4)=2(36)

s(4) = 72


8 0
3 years ago
25 points
elixir [45]
C. 4x + y = 21

4(3) + 9 = 21
12 + 9 = 21
21 = 21
8 0
2 years ago
Read 2 more answers
PLEASE HELP, ITS TIMED SO HURRY PLEASE>>>>>>>
Olegator [25]

Answer:

The answer is noncollinear

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Distance between two ships At noon, ship A was 12 nautical miles due north of ship B. Ship A was sailing south at 12 knots (naut
frozen [14]

Answer:

a)\sqrt{144-288t+208t^2} b.) -12knots, 8 knots c) No e)4\sqrt{13}

Step-by-step explanation:

We know that the initial distance between ships A and B was 12 nautical miles. Ship A moves at 12 knots(nautical miles per hour) south. Ship B moves at 8 knots east.

a)

We know that at time t , the ship A has moved 12\dot t (n.m) and ship B has moved 8\dot t (n.m). We also know that the ship A moves closer to the line of the movement of B and that ship B moves further on its line.

Using Pythagorean theorem, we can write the distance s as:

\sqrt{(12-12\dot t)^2 + (8\dot t)^2}\\s=\sqrt{144-288t+144t^2+64t^2}\\s=\sqrt{144-288t+208t^2}

b)

We want to find \frac{ds}{dt} for t=0 and t=1

\sqrt{144-288t+208t^2}|\frac{d}{dt}\\\\\frac{ds}{dt}=\frac{1}{2\sqrt{144-288t+208t^2}}\dot (-288+416t)\\\\\frac{ds}{dt}=\frac{208t-144}{\sqrt{144-288t+208t^2}}\\\\\frac{ds}{dt}(0)=\frac{208\dot 0-144}{\sqrt{144-288\dot 0 + 209\dot 0^2}}=-12knots\\\\\frac{ds}{dt}(1)=\frac{208\dot 1-144}{\sqrt{144-288\dot 1 + 209\dot 1^2}}=8knots

c)

We know that the visibility was 5n.m. We want to see whether the distance s was under 5 miles at any point.

Ships have seen each other = s\leq 5\\\\\sqrt{144-288t+208t^2}\leq 5\\\\144-288t+208t^2\leq 25\\\\199-288t+208t^2\leq 0

Since function f(x)=199-288x+208x^2 is quadratic, concave up and has no real roots, we know that 199-288x+208x^2>0 for every t. So, the ships haven't seen each other.

d)

Attachedis the graph of s(red) and ds/dt(blue). We can see that our results from parts b and c were correct.

e)

Function ds/dt has a horizontal asympote in the first quadrant if

                                                \lim_{t \to \infty} \frac{ds}{dt}

So, lets check this limit:

\lim_{t \to \infty} \frac{ds}{dt}=\lim_{t \to \infty} \frac{208t-144}{\sqrt{144-288t+208t^2}}\\\\=\lim_{t \to \infty} \frac{208-\frac{144}{t}}{\sqrt{\frac{144}{t^2}-\frac{288}{t}+208}}\\\\=\frac{208-0}{\sqrt{0-0+208}}\\\\=\frac{208}{\sqrt{208}}\\\\=4\sqrt{13}

Notice that:

4\sqrt{13}=\sqrt{12^2+5^2}=√(speed of ship A² + speed of ship B²)

5 0
3 years ago
Find x <br> –3(x – 4) + x = 2x – 12
raketka [301]

Answer:

x=6

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • a bag of marbles contains 8 red marbles, 4 blue marbles, and 5 white marbles. tom picks a marble at random. is it more likely th
    15·1 answer
  • How do I figure out 221 ÷0.0001
    15·2 answers
  • Helppppp meeeeeeplzzzzzzzzzz
    14·1 answer
  • Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure oil-filled submarine po
    10·1 answer
  • Wyd? Can u help with these plz
    11·2 answers
  • At 7:30 a.m., a bus left Town P for Town Q at a speed of 60 kilometers per hour. 15 minutes later, a car left Town Q and headed
    5·1 answer
  • PLEASE HELP I"LL GIVE BRAINLIEST!!
    11·2 answers
  • 1cm represents 5.4miles on a scale drawing, what distance does 17.1cm on the scale drawing represent in real life.
    13·1 answer
  • If the area of a rectangle is x^2+13x+36 and the length is x+9 what is the width
    12·2 answers
  • Use completing the square to solve for x in the equation (x-12)(x+4)= 9.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!