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pshichka [43]
3 years ago
10

ASAP! I NEED THIS DONE AS QUICKLY AS POSSIBLE WITH WORKING OUT

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

See explanation.

Step-by-step explanation:

Let us first analyze some principle theory. By definition we know that the velocity ( v ) is a function of a distance  ( d ) covered in some time  ( t ), whilst acceleration ( a ) is the velocity achieved in some time. These can also been expressed as:

v = \frac{d}{t}\\ and a=\frac{v}{t}

We also know that both velocity and acceleration are vectors (therefore they are characterized by both a magnitude and a direction). Finally we know that given a position vector we can find the <u>velocity and the acceleration</u>, by differentiating the vector with respect to time, once and twice, respectively.

Let us now solve our problem. Here we are givine the Position vector of a particle P (in two dimensional space of i-j ) as:

r=(3t^3-t+3)i+(2t^2+2t-1)j         Eqn.(1)

Let us solve.

<u>Part (a) Velocity: </u><u>we need to differentiate Eqn.(1) with respect to time as:</u>

v(t)=\frac{dr}{dt}\\\\ v(t)=[(3)3t^2-1]i+[(2)2t+2]j\\\\v(t)=(9t^2-1)i+(4t+2)j            Eqn.(2)

<u>Part (b) Acceleration: </u><u>we need to differentiate Eqn.(2) with respect to time as:</u>

<u />a(t)=\frac{dv}{dt}\\ \\a(t)=[(2)9t]i+4j\\\\a(t)=(18t)i+4j<u />

<u />

Thus the expressions for the velocity and the acceleration of particle P in terms of t are

v(t)=(9t^2-1)i+(4t+2)j   and   a(t)=(18t)i+4j

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Answer:

Answer is A

Step-by-step explanation:

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2 years ago
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
nekit [7.7K]

Answer:

Required inequality is 4800+183x>8000.

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

4800+183x>8000

Hence required inequality is 4800+183x>8000.

5 0
3 years ago
The table represents the monthly fees for checking accounts at two banks. Bank Monthly fee L 1% of checking account balance Р S6
grigory [225]

Answer:039

Step-by-step explanation:

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3 years ago
(Inscribed Angles)
Alik [6]

Answer:

(D) 30 degrees

Step-by-step explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

<u>Theorem(Inscribed Angles Conjecture I): </u>In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.

By the theorem above and from the attached diagram,

Inscribed Angle p =Half of 60 degrees

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<u>The correct option is D.</u>

4 0
2 years ago
NEED HELP ASAP
lozanna [386]

Multiply dollars / unit * units.  It is actually a useful thing to know.  Many thing are done using the tools this question requires.

\dfrac{0.58 dollars}{unit} * 532 units

Steve takes home 308.56 dollars. The answer is B.

5 0
3 years ago
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