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fiasKO [112]
3 years ago
13

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
3 0
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
7 0
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

<u>Debt at month 0</u> (when Andres got the loan)

24,320

<u>Debt at month 1</u>

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

<u>Debt at month 2</u>

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

<u>Debt at month 3</u>

24,357.1755*(1.001875)

<u>Debt at month 4</u>

24,357.1755*(1.001875)^2

<u>Debt at month 5</u>

24,357.1755*(1.001875)^3

<u>Debt at month 6</u>

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

= 24,540.36874

<u>Debt at month 7</u>

24,540.36874*(1.001875)

<u>Debt at month 8</u>

24,540.36874*(1.001875)^2

<u>Debt at month 9</u>

24,540.36874*(1.001875)^3

<em>and so on</em> until month 24 (the maturity)

<u>Debt at maturity</u>

24,540.36874*(1.001875)^{18}

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

8 0
3 years ago
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