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saw5 [17]
3 years ago
11

What number is 2 * 10 ^100

Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0

Answer:

2.00000000e+100

Step-by-step explanation:

2

2 \times {10}^{100}  = \\  2 \times 1.00000000e + 100=  \\  2.00000000e + 100

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Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Vikentia [17]

Step-by-step explanation:

=  \sqrt{x} .4 \sqrt{x}

=  {x}^{ \frac{1}{2} }  \times 4 {x}^{ \frac{1}{2} }

= 4 {x}^{ \frac{1}{2} +  \frac{1}{2}  }

= 4 {x}^{ \frac{2}{2} }

= 4 {x}^{1}

= 4x

4 0
2 years ago
A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M
Talja [164]
12:00 to 1:30 , that is 90 minutes
if 35 people enter each minute then it should be multiplied by the number of minutes
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Find ten percent of 50 by moving the decimal point left once and subtract it from 50
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EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =
geniusboy [140]

The Lagrangian,

L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)

has critical points where its partial derivatives vanish:

L_x=1-\lambda-2\mu x=0

L_y=2+\lambda-2\mu y=0

L_z=9-\lambda=0

L_\lambda=x-y+z-1=0

L_\mu=x^2+y^2-1=0

L_z=0 tells us \lambda=9, so that

L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu

L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}

Then with L_\mu=0, we get

x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2

and L_\lambda=0 tells us

x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}

Then there are two critical points, \left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right). The critical point with the negative x-coordinates gives the maximum value, 9+\sqrt{185}.

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3 years ago
How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 80% anti
Grace [21]
The answer for this question would be 30%
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3 years ago
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