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Elza [17]
3 years ago
11

How does the division rule for exponents help in understanding why anything to the zero power is 1?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0
In the division rule you subtract the exponents<span> when </span>dividing<span> numbers with the same base. </span>One<span> rule for exponents is that exponents add when you have the same base. This works for any number x that you want to plug in except for x = </span>0<span>,because </span>0/0<span> is indeterminate (it is like dividing </span>zero<span> by </span>zero<span>). No matter what number we use when it is raised to the </span>zero power<span> it will always be </span>1.
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#10 using the right angle below find the cosine of angle B.
Contact [7]

\cos B = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{5\sqrt{2}}{10} = \frac{\sqrt{2}}{2}=0.707

4 0
3 years ago
The Mulder Farm has 600 acres of land allotted for raising corn and wheat. The cost to cultivate corn is $40 per acre. The cost
FrozenT [24]

Answer: Corn = 200 acres

Wheat= 400 acres

Step-by-step explanation:

Let the number of acres of corn = c

Let the number of acres of wheat = w

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:

c + w = 600

c = 600 - w

Cultivation cost equals:

= 40c + 25w = 18000

Since c = 600 - w, we slot it into the equation

40c + 25w = 18000

40(600 - w) + 25w = 18000

24000 - 40w + 25w = 18000

Collect like terms

24000 - 18000 = 40w - 25w

6000 = 15w

w = 6000/15

w= 400

400 acres of wheat will be planted

Since c + w = 600

c = 600 - 400

c = 200

200 acres of corn should be planted

4 0
3 years ago
If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i
navik [9.2K]

Answer: 37 units

Step-by-step explanation:

Blue=144units^2 This also works as the height of the triangle.

Pink=1225units^2 This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

Formula: A=s^2

s=\sqrt[]{A}

Let's work with Blue.

s=\sqrt[]{144units^2} \\s=12units

Now Pink.

s=\sqrt[]{1225units^2}\\s=35units

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units

7 0
3 years ago
What does 45 dividend by 5/11
Galina-37 [17]

Answer:

i think the answer is 99 im not completely sure though

but i hope this helps


5 0
4 years ago
Read 2 more answers
The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm,
Nana76 [90]

Answer:

Y intercept of this function is 2 which is the height of a plant at the time x = 0 or the height of a plant when kept in sunlight.

Step-by-step explanation:

In the given function y = (2 + 4x), x is the number of hours a plant kept in sunlight and y is the height in mm.

Since this equation is in the form of equation of straight line y = mx +c in which m denotes gradient of the line and c is y intercept.

In y = 4x + 2, y intercept of the equation is 2 which means when a plant was kept in sunlight its height was 2 mm.


7 0
3 years ago
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