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2 years ago

Factor the following expression completely. x^2+14xy+49y^2

Mathematics

1 answer:

tigry1 [53]2 years ago

7 0

Answer:

(x+7y) Squared

Step-by-step explanation:

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A fluid moves through a tube of length 1 meter and radius r=0.006±0.00025 meters under a pressure p=4⋅105±2000 pascals, at a rat

iris [78.8K]

Answer:

Maximum error for viscosity is 17.14%

Step-by-step explanation:

We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

$n = (\frac{\pi}{8}) (\frac{pr^4}{v})\\$

The implicit derivative with respect to the time would be

$\frac{dn}{dt} = \frac{\pi}{8} ( \frac{r^4}{v} \frac{dp}{dt} + \frac{4pr^3}{v}\frac{dr}{dt} )$

If we multiply everything by dt we get

$dn = \frac{\pi}{8} ( \frac{r^4}{v} dp + \frac{4pr^3}{v} dr})$

Remember that the error is given by $\frac{dn}{n}$ therefore doing some algebra we get that

$\frac{dn}{n} = 4 \frac{dr}{r} + \frac{dp}{p}$

Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that

$\frac{dn}{n} = 0.1714$

Which means that the maximum error for viscosity is 17.14%.

5 0

2 years ago

Simplify the expression:z2-z(z+3)+3z

n200080 [17]

$z^2-z(z+3)+3z=z^2-z\cdot z-z\cdot3+3z=z^2-z^2-3z+3z=0$

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3 years ago

Conduction can occur within a single substance, but parts of the substance must have which property? different temperatures diff

Julli [10]

Answer:

Step-by-step explanation:

answer is A

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2 years ago

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To help racecar drivers safely negotiate turns, racetracks are banked at the curves. At one location, a 58 ft track is banked su

zmey [24]

The correct answer is Choice B: 53.0 feet.

If you draw a picture of the cross section, you will have a right triangle. The hypotenuse is 58 and one of the legs is 23.6. All you have to do is use the Pythagorean Theorem and solve for the missing side.

x^2 + 23.6^2 = 58^2

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2 years ago

Krystal hiked 109 miles last year. Tanji hiked 12 times as many miles as Krystal. How many miles did Tanji hike last year

lapo4ka [179]

Answer:

1308

Step-by-step explanation:

109 x12

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2 years ago