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Shalnov [3]
2 years ago
8

Continuing the pattern, what do the following terms equal?

Mathematics
1 answer:
rodikova [14]2 years ago
4 0

The series formed by using exponential property we get : \frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} .

What is Exponential Property?

  • Properties of Exponents : It is also called power or degree.
  • It tells us how many times the base will be multiplied by itself.
  • The properties of exponents or laws of exponents are wont to solve problems involving exponents.
  • These properties also are considered as major exponents rules to be followed while solving exponents.

Using exponential property on given values we get,

2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...

Complete series using exponent property is:\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,

Learn more about exponential property here:

brainly.com/question/25633462

#SPJ9

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Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
Effectus [21]

Answer:

m∠A = 50°

m∠B = 70°

m∠C = 60°

Step-by-step explanation:

Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°

In a Triangle, the sum of the interior angles of a triangle = 180°

Step 1

We solve for x

Hence:

m∠A + m∠B + m∠C= 180°

(x-10)°+ (2x-50)°+ x° = 180°

x - 10 + 2x - 50 + x = 180°

4x - 60 = 180°

4x = 180° + 60°

4x = 240°

x = 240°/4

x = 60°

Step 2

Solving for each measure

x = 60°

m∠A=(x-10)°

= 60° - 10°

= 50°

m∠B=(2x-50)°

= 2(60)° - 50°

= 120° - 50°

= 70°

m∠C=x°

= 60°

7 0
3 years ago
Describe and correct the error in telling whether the two figures are congruent?
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mario62 [17]

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If we know this, the variables for this problem are assuming the function is 10(5.5)^x:

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This means:y = 302.5  - 55 = 247.5x = 2 - 1 = 1

Remember: the equation for avg rate of change is y/x

So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)

5 0
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