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bazaltina [42]
3 years ago
9

At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

  T(t) = 3sin((t-5)π/30)

Step-by-step explanation:

5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...

  T(t) = 3sin((t-5)π/30)

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Application 11. Dasha took out a loan of $500 in oeder to buy the # 1 selling book in the world, "Math, What is it Good For?" by
finlep [7]

Answer:

\boxed{\text{\$581.25; \$81.25}}

Step-by-step explanation:

The formula for the total accrued amount is

A = P(1 + rt)

Data:

P = $500

r = 6.5 % = 0.065

t = 30 mo

Calculations:

(a) Convert months to years

t = 30 mo × (1 yr/12 mo) = 2.5 yr

(b) Calculate the accrued amount

A = 500(1 + 0.065 × 2.5)

  = 500(1 + 0.1625)

  = 500 × 1.1625

  = 581.25

\text{Dasha will have to pay back }\boxed{\textbf{\$581.25}}

(c) Calculate the accumulated interest

\begin{array}{rcl}A & = & P + I\\581.25 & = & 500 + I\\I & = & 81.25\\\end{array}\\\text{The accumulated interest is }\boxed{\textbf{\$81.25}}

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2 years ago
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blsea [12.9K]
You just have to substitute the x for the given number and complete the equation. Leave the x-box and laziness and study

8 0
3 years ago
Select all of the scales that are equivalent to 3 cm to 4 km.
ra1l [238]

In mathematics, a scale can be described in charts as a marking system at predefined times, which determines the relationship between the units that are being used and their images on the graph, and the further calculation can be defined as follows:

  • Since in this question, the ratio is between 3 cm to 4 km you can make a \bold{\frac{3}{4}=\frac{cm}{km}} split, and if you are split between 3 and 4, you get the ratio between \bold{\frac{\frac{3}{4 \ cm}}{1\ km} = \frac{3\ cm}{ 4\ km}}.

         \bold{\to \frac{3 }{ 4}= 0.75}

Therefore the final answer is "0.75 cm to 1 km"

Learn more:

brainly.com/question/15285394

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1 year ago
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Answer:

y = - 1/3 +2

Step-by-step explanation:

✯Hello✯

↪  first we need to rearrange this so the answer is equal to Y

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↪  9y =-3x+18

↪  then divide by 9 to get y on its own

↪  Then we can simplify the answer -3x+18/9 further so the 2nd option is the answer

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Answer:

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Step-by-step explanation:

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