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Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

$\displaystyle unbiased$

Explanation:

This does not show any prejudice for or against anything, so this has got to be the answer.

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3. The ratio of the width to the length of a rectangle is 4:5. If the area of the rectangle is 500 square centimeters, what is t

Maurinko [17]

Answer:

<h2> 25 centimeters</h2>

Step-by-step explanation:

Ratio 4:5 means:

width: W = 4x

length: L = 5x

Area of rectangle: A = W×L

Therefore:

500 = 4x×5x

500 = 20x²

50 = 2x²

x² = 25

x = 5

W = 4×5 = 20 cm

L = 5×5 = 25 cm

8 0

3 years ago

Withdrew $130.47 from an ATM on Tuesday. Wednesday he deposited $240.93. Friday he wrote a check for $56.02. What was the total

mihalych1998 [28]

Answer:

If I really understood the question the result is $54.44

Step-by-step explanation:

240.93-130.47= 110.46

110.46-56.02=54.44

3 0

3 years ago

A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

$D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}$

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

$D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)$

Now putting t:

$D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75$