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2 years ago

When you have a multiplication problem, what do you do to the exponents?

Mathematics

1 answer:

Keith_Richards [23]2 years ago

3 0

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

<em> 15</em>
<em> 42,250</em>

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

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2 years ago

consider the equation x/5-2=11. if x represents the number of basketball players that have signed up for a new league, what is a

weqwewe [10]

X basketball players who tried out for the team were chosen. They were distributed into 5 groups each. In one of the groups, 2 of the teammates left. How many players did that group have?

I'm sure you can word this even better.. I'm just in a rush.

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2 years ago

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He population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35 to 40 million per year and dea

Wewaii [24]

Answer:

See explaination and attachment

Step-by-step explanation:

Please kindly check attachment for the step by step solution of the given problem.

I have the detailed answer as an attachment.

7 0

2 years ago

What is the value of x to the nearest tenth?

Citrus2011 [14]

Answer:

Step-by-step explanation:

8 0

2 years ago

The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 13.713.7degrees°. If skyscrap

Norma-Jean [14]

Answer:

5956 ft

Step-by-step explanation:

If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.

The definition of the tangent function tells us ...

tan(A) = BT/AB

Solving for AB, we find ...

AB = BT/tan(A) = (1452 ft)/tan(13.7°)

AB ≈ 5956 ft

The skyscrapers are about 5956 feet apart.

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3 years ago