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3 years ago

71 ×10 ^ 3 Scientific Notation

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 1010. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.1×1047.1×104

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Lana71 [14]

Answer:

there’s nothing there

Step-by-step explanation:

7 0

3 years ago

What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

$y-3=2(x+2)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

3 0

3 years ago

If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a

Karolina [17]

Let h = height of the box,
x = side length of the base.

Volume of the box is $V=x^{2} h = 115$ .
So $h = \frac{115}{ x^{2} }$

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
$S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x$
$= 2 x^{2} + \frac{460}{x}$
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

$S' = 4x- \frac{460}{ x^{2} } = 0$
$4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86$
Then $h= \frac{115}{4.86^{2}} = 4.87$
So the box is 4.86 in. wide and 4.87 in. high.

5 0

3 years ago

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A 900-kg compact car moving at 60 mi/hr has approximately 320 000 Joules of kinetic energy. Estimate its new kinetic energy if i

Doss [256]

You need to divide 320000 by 2 since the speed was divided by 2. The final answer is ...... 160000 Joules.

I hope this helped!!!! :D

7 0

3 years ago

100 POINTS AND BRAINLIEST: The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than

Wittaler [7]

Answer:

x= "a certain number of inches"

side a= x-3

side b= 2 inches

multiply:

Area= a(b)

A= (x-3)2

A= 2(x-3)

distribute:

A= 2(x-3)

A= (2*x) + (2*-3)

A= 2x-6

Area= 2(x-3)

Area= 2x-6

Step-by-step explanation:

The area of the rectangle is equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x". Using the distributive property, we can solve this expression further to find that the area of this rectangle is also equal to six less than doubling a certain number x.

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3 years ago

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71 ×10 ^ 3 Scientific Notation​

71 ×10 ^ 3 Scientific Notation