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3 years ago

What is 290 million in scientific notation?

Mathematics

2 answers:

Vilka [71]3 years ago

8 0

290 million = 290,000,000

scientific notation would be 2.9 x 10^8

the 8 comes from the number of spaces you need to move the decimal point to the left to get 2.9

professor190 [17]3 years ago

6 0

2.9 x 10 to the 2 power

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Increase each of the following amounts by the percentage given.

umka21 [38]

Step-by-step explanation:

(a)90 by 10%

90+10% of 90=90(1+0.1)=99

(b)60 by 25%

60(1+0.25)=75

80(1+0.75)=140

(e)110 by 60%

110(1+0.6)=176

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480(1+1.15)=1032

(g)140 by 45%

140(1+0.45)=203

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3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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3 years ago

Someone please help! I’m very confused on this problem.

weqwewe [10]

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3 years ago

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Step-by-step explanation:

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Sliva [168]

Answer:

Yes, the length of a side of a square and the perimeter of the square are related proportionally.

Step-by-step explanation:

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3 years ago