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3 years ago

Liam sits on a merry-go-round at the local fair. He completes 12 revolutions in 4

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

1/3 min ( = 20 seconds)

Step-by-step explanation:

The period of the ride is the time he takes to complete 1 revolution

We are given:

12 revolutions -------> takes 4 min

1 revolution ------> takes 4/12 = 1/3 min (= 20 seconds)

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What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

Molodets [167]

The answer to this is
x= 18, -2

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2 years ago

249 to 320 I need help on this problem

Vinil7 [7]

320-249 will get you what you need to answer the problem

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3 years ago

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to chec

klasskru [66]

Answer:

There is a horizontal tangent at (0,-4)

The tangent is vertical at (-2,-3) and (2,-3).

Step-by-step explanation:

The given function is defined parametrically by the equations:

$x=t^3-3t$

and

$y=t^2-4$

The tangent function is given by:

$\frac{dy}{dx}=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\implies \frac{dy}{dx}=\frac{2t}{3t^2-3}$

The tangent is vertical at when $\frac{dx}{dt}=0$

$\implies \frac{3t^2-3}{2t}=0$

$\implies 3t^2-3=0$

$\implies 3t^2=3$

$\implies t^2=1$

$\implies t=\pm1$

When t=1,

$x=1^3-3(1)=-2$ and $y=1^2-4=-3$

When t=-1,

$x=(-1)^3-3(-1)=2$ and $y=(-1)^2-4=-3$

The tangent is vertical at (-2,-3) and (2,-3).

The tangent is horizontal, when $\frac{dy}{dx}=0$ or $\frac{dy}{dt}=0$

$\implies 2t=0$

$\implies t=0$

When t=0,

$x=0^3-3(0)=0$ and $y=0^2-4=-4$

There is a horizontal tangent at (0,-4)

5 0

3 years ago

It doesn't make sense ?

bazaltina [42]

Answer:

30 in

Step-by-step explanation:

3 0

3 years ago

Andres Michael bought a new boat. He took out a loan for S24 320 at 45% interest for 2 years. He made a 54.110 partial payment a

AleksAgata [21]

Answer:

$25,381.94

Step-by-step explanation:

45% interest in 2 years = 45/24 = 1.875% monthly

Debt at month 0 (when Andres got the loan)

24,320

Debt at month 1

24,320*(1 + 0.001875) = 24,365.6

Debt at month 2

24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755

Debt at month 3

24,357.1755*(1.001875)

Debt at month 4

$24,357.1755*(1.001875)^2$

Debt at month 5

$24,357.1755*(1.001875)^3$

Debt at month 6

$24,357.1755*(1.001875)^4$ - 3,410 (partial payment)

= 24,540.36874

Debt at month 7

24,540.36874*(1.001875)

Debt at month 8

$24,540.36874*(1.001875)^2$

Debt at month 9

$24,540.36874*(1.001875)^3$

and so on until month 24 (the maturity)

Debt at maturity

$24,540.36874*(1.001875)^{18}$

= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.

8 0

3 years ago