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3 years ago

What is 1/100,000,000 as a power of 10

1 answer:

5 0

A power of 10 is the number 10 multiplied by itself by the number of times indicated by the exponent. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

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The length of a rectangle is 3.5 inches more tan its width. The perimeter of the rectangle is 31 inches. Find the length and the

leonid [27]

Length (L): w + 3.5

width (w): w

Perimeter (P) = 2L + 2w

31 = 2(w + 3.5) + 2(w)

31 = 2w + 7 + 2w

31 = 4w + 7

24 = 4w

6 = w

Length (L): w + 3.5 = (6) + 3.5 = 9.5

Answer: width = 6 inches, length = 9.5 inches

8 0

3 years ago

125in is equal to how many ft and in? (show work)

Leno4ka [110]

125 inches is equal to 10 feet and 5 inches because 12 inches are in each foot. To find how many feet, you would do 125/12 which is 10 and a remainder of five. This means that 125 inches is equal to 10feet and 5 inches.

5 0

3 years ago

Divide (6m3 �� 27m2 8m �� 20) by (m �� 5). what is the remainder?

elena-14-01-66 [18.8K]

The remainder is or answer is 6

3 0

3 years ago

How do you find the middle term of a perfect square trinomial?

Lyrx [107]

Answer:

Take the square root of the constant (number w/o the variable) and then multiply that by 2.

Step-by-step explanation:

A perfect square trinomial is something like this: $x^{2} +6x+9.$ If I have 6x, and I want to find the last term I would take half a six and then square it to get 9.

SO.... To get the middle term of a perfect square trinomial, you would need to do the reverse.. So...

1) Take the square root of the constant...

2) Multiply that by 2

4 0

3 years ago

A 5-meter ladder is leaning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m

Flura [38]

<h2>The top of the ladder is descending at 0.3 m/s.</h2>

Step-by-step explanation:

By Pythagoras theorem we know that

Hypotenuse² = Base² + Perpendicular²

h² = b² + p²

We have for ladder

h = 5 m

b = 3 m

5² = 3² + p²

p = 4 m

$\frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0$

Differentiating h² = b² + p² with respect to time

$2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s$

The top of the ladder is descending at 0.3 m/s.

3 0

3 years ago