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3 years ago

Could you please help!

1 answer:

3 0

There are 1000 meters in 1 kilometer so you can set up a proportion to find the number of meters. 1000m / 1km = x / 40075 km cross multiply and you get the answer of 40,075,000 meters. To change to scientific notation, move the decimal point next to the 4 (becuase 4.0075 is less than 10) and you get the answer of 4.0075 x 10^7 meters.

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Which statement about the potential solutions to 2log x − log3 = log3 is true?

Fudgin [204]

Only –3 is an extraneous solution.

8 0

3 years ago

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A dog trainer has 96 ft of fencing that will be used to create a rectangular work area. Encloses area of 320 ft^2. What will be

Anastaziya [24]

Answer:

The dimensions of the area will be 8 ft x 40 ft

Step-by-step explanation:

Area and Perimeter

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

$A=wl$

$P=2w+2l$

The dog trainer has 96 ft of fencing to cover a $320 ft^2$ rectangular area. This means that

$wl=320$

$2w+2l=96$

A system of equations is formed

$\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right$

We divide the last equation by 2

$w+l=48$

solve for w

$w=48-l$

Replacing in the first equation

$(48-l)l=320$

Operating and arranging

$l^2-48l+320=0$

$(l-8)(l-40)=0$

We have two possible answers

$l=8,\ l=40$

Which gives us

$w=40,\ w=8$

In any case, the dimensions of the area will be 8 ft x 40 ft

6 0

3 years ago

A circle has a radius of 12.6 cm.

d1i1m1o1n [39]

Circumference = 2 * PI * radius
circumference = 2 * PI * 12.6
If the central angle is 120°, then the arc will be exactly one third of the circumference.
arc length = (2 * PI * 12.6) / 3
arc length = 8.4 PI

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3 years ago

(h(1) = 14 h(n) 28 hin - 1) h(2) =

Serhud [2]

Answer:

Y=ax2

Step-by-ste:

Y=ax28(n)

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3 years ago

2 + 10n + 9 + 6n Explain please

marshall27 [118]

Answer:

11 + 16n

Step-by-step explanation:

Collect the like terms

2 + 9 = 11
10n + 6n = 16n

11 + 16n is the final answer, and cannot be simplified further

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2 years ago

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