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denis23 [38]
3 years ago
14

Rewrite the expression in the form 5^n (5^-8) (5^-10)

Mathematics
2 answers:
Lorico [155]3 years ago
8 0

Answer:

5^-18

Step-by-step explanation:

Law of exponents bases the same add the exponents keep the base.

5^(-8+-10)=5^-18

oee [108]3 years ago
4 0

Answer:

Step-by-step explanation:

This problem is all about bases and exponents.  Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:

That's the simplification as long as you are "allowed" to leave the exponent as a negative number.

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One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n
maxonik [38]

Answer:

B.\ \frac{3m}{2n}

Step-by-step explanation:

Given

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq  0)

Required

Calculate one of the root of the equation

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0

Factorize

2mx(2nx - 3m) -3n(2nx - 3m) = 0

(2mx - 3n)(2nx - 3m) = 0

Split equation

2mx - 3n = 0\ or\ 2nx - 3m = 0

Make x the subject of formula in both expressions

2mx = 3n\ or\ 2nx = 3m

x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}

<em>From the list of given options, one of the roots of the equation is</em> \frac{3m}{2n}

4 0
4 years ago
Graph the equation.<br> y-1 = -2(x-2)
IrinaVladis [17]

Answer:

y-1 = -2(x-2) graph:

4 0
3 years ago
Read 2 more answers
Help me with 4,5 plss
tatiyna
<h2> Question # 4</h2>

4. Multiple Representation Write a different equation to find the angle measures in Example 2. Will the answer be the same? Explain.

As we know that the sum of angles of a triangle is 180⁰.

In Mathematics, an equilateral triangle:

  • is said to be a triangle in which all three sides are equal.
  • All three internal angles of an equilateral triangle are also congruent to each other, each having 60° measure.

From the given equilateral triangle, the equation can be written as:

x + x + x =  180⁰

As each angle is 60°.

so

60° + 60° + 60° = 180⁰

Therefore, each angle measure = x = 60°.

Yes! the answer is same, as the sum of angles of a triangle is 180⁰. The reason is that an equilateral triangle is said to be a triangle in which all three sides are equal. All three internal angles are also congruent to each other, each having 60° measure.

<h2>                         Question # 5</h2>

5. Draw Conclusion Triangle ABC is a right triangle. What conclusion can you draw about the measure of the angles of the triangle.

  • A right triangle, let say ∠ABC, has two legs and a hypotenuse. The two legs meet at right angle - or 90° angle.
  • The longest side is called the the hypotenuse is the longest side of the right triangle which is the opposite the right angle.

The Pythagorean Theorem defines the relationship in every right triangle such as:

              a^2+b^2=c^2

A right isosceles triangle - having two same sides - has a 90° angle and two  90° angles.

Another kind of right triangle is the 30-60-90 degree triangle. Where one angle is right, 90°, and other two angles are 30° and 60°.

Another kind of right triangle is the 45-45-90 degree triangle. Where one angle is right, 90°, and other two angles are 45° and 45°.

So, we conclude that we have a variety of right triangles where one angle is the right angle, measuring 90° angle.

6 0
4 years ago
If you have the average production function: APL=3L2 - 0.05L3, the function of marginal product of labour, MPL is
Sveta_85 [38]

Answer:

<h2>The marginal product of labor function or MPL=9L^{2}-0.2L^{3}.</h2>

Step-by-step explanation:

  • The Average Production Function or APL is given as APL=3L^{2}-0.05L^{3} where "L" represents the overall amount labor in the production process.
  • Therefore, the Total Production Function or TPL,in this case, would be TPL=(3L^{2}-0.05L^{3})\times L=TPL=3L^{3}-0.05L^{4}
  • Hence,the Marginal Product of Labor, which is abbreviated as MPL will be=\frac{dL}{dTPL}=(3\times 3L^{2})-(4\times 0.05L^{3})=9L^{2}-0.2L^{3}
  • Therefore,the marginal product of labor function or MPL=9L^{2}-0.2L^{3}

3 0
3 years ago
Can someone help me!?
Sever21 [200]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
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