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rjkz [21]
3 years ago
11

The speed of a tidal wave in meters/second is given by the square root of the product of the acceleration due to gravity on Eart

h (9.8 meters/second2) and the depth of the ocean in meters.
If the ocean is 500 meters deep, the speed of the tidal wave will be ____ m/s
Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

70 m/s

Step-by-step explanation:

<u>"The speed of a tidal wave in meters/second is given by the square root of the product of the acceleration due to gravity on Earth (9.8 meters/second2) and the depth of the ocean in meters":</u>

The sentence above can be interpreted into the equation shown below (letting speed of tidal wave be "s", acceleration due to gravity be "g", and depth be "d"):

s=\sqrt{g*d}

<em><u>Given d = 500 and g = 9.8, we find speed (s):</u></em>

s=\sqrt{g*d} \\s=\sqrt{(9.8)*(500)} \\s=\sqrt{4900}\\ s=70

Hence, the speed is 70 meters per second.

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Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end
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Answer:

5.25 feets

Step-by-step explanation:

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Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end of the wall should abdul place the side of the poster?

Length of one side of Square poster = 1 1/2 Feets = 3/2 feets

Length of wall = 12 feets long

Since Abdul wants the poster to be centered in the wall; then the picture should be placed such that there must be equal space left on either side of the wall after hanging.

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4 years ago
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3 years ago
On April 1, the price of gas at Bob's Corner Station was $3.35 per gallon. On May 1, the price was $3.85 per gallon. On June 1,
Zina [86]
<h2>Answer:</h2>

1. Between April 1 and May 1, Bob's price incrdased by <u>$0.50 or 15%</u>.

2. Between May 1 and June 1, Bob's price decreased by <u>$0.50 or 13%</u>.

3. Suppose that atgas station across the street, prices are always 20% higher than Bob's. In absolute dollar terms, the difference between Bob's prices and the prices across the street is <u>$0.1 more expensive</u> when gas costs $3.85 than when gas costs $3.35.

4. Suppose the Fed raises the target for the federal fundsb rate from 2% to 2.25%. This change of percentage points means that the Fed raised its target by approximately <u>0.25%</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Between April 1 and May 1, Bob's price incrdased by...</h3>

<em>Take the difference of the prices to find an absolute value:</em>

$3.85 - $3.35= $0.50.

<em>Use the following formula to find the relative value:</em>

C= |Original value - New value|/ Original value

C=\frac{|OV-NV|}{OV}=\frac{|3.35-3.85|}{3.35}  =0.15=15%.

<h3>2. Between May 1 and June 1, Bob's price decreased by...</h3>

<em>Take the difference of the prices to find an absolute value:</em>

$3.85 - $3.35= $0.50.

<em>Use the following formula to find the relative value:</em>

C= |Original value - New value|/ Original value

C=\frac{|OV-NV|}{OV}=\frac{|3.35-3.85|}{3.85}  =0.13=13%.

<h3>3. Suppose that atgas station across the street, prices are always 20% higher than Bob's. In absolute dollar terms, the difference between Bob's prices and the prices across the street is (blank) when gas costs $3.85 than when gas costs $3.35.</h3>

<em>In this question we are looking for the difference of a difference. </em>

<em>If the proces across the street are always 20% higher, to find how much the gallon costs just multiply the price by 1.20, to increase 0.2 or 20%:</em>

$3.85 * 1.20= $4.62.

<em>Now, to see how much expensive this price is compared to Bob's, take de difference between the prices:</em>

$4.62 - $3.85= $0.77.

<em>Do the same to find the difference between the gas prices when the price is $3.35.</em>

$3.35 * 1.20= $4.02.

$4.02 - $3.35= $0.67.

Now, find the difference of those differences:

$0.77 - $0.67= $0.1.

<h3>4. Suppose the Fed raises the target for the federal funds rate from 2% to 2.25%. This change of percentage points means that the Fed raised its target by approximately (blank).</h3>

<em>Find the difference between percentages:</em>

2.25% - 2%= 0.0225 - 0.02= 0.0025= 0.25%.

<em>Simpler method:</em>

2.25% - 2%= 0.25%.

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