he first five terms in the arithmetic sequence an = 8n, starting with n = 1.

Answers

Answer 1

Answer: 8,16,24,32,40
All you have to do is replace the n in 8n with the sequance number you're looking for
like for instance:
8(1)=8
8(2)=16

Answer 2

Answer: $a_n=8n\n \na_1=8\cdot1=8\na_2=8\cdot2=16\na_3=8\cdot3=24\na_4=8\cdot4=32\na_5=8\cdot5=40$

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A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!

Practice simplifying rational expressions with negative exponents.

Answers

Answer:

Part 1:- option first is correct

$-(1)/(2)ab^(12)$

Part 1:- option third is correct

$(w^(10))/(3y^(4))$

Step-by-step explanation:

Given:

The given ration expressions are.

1. $(-2a^(2)b^(4))/(4ab^(-8))$

2. $(-5w^(4)y^(-2))/(-15w^(-6)y^(2))$

We need to simplify the given expressions.

Solution:

Part 1:-

Given expression is

$=(-2a^(2)b^(4))/(4ab^(-8))$

Using law of exponents $(x^(m) )/(x^(n) ) = x^((m-n))$

$=-(a^(2-1)b^(4-(-8)))/(2)$

$=-(a^(1)b^(4+8))/(2)$

$=-(ab^(12))/(2)$

$=-(1)/(2)ab^(12)$

Therefore, option first $-(1)/(2)ab^(12)$ is correct.

Part 2:-

Given expression is.

$=(-5w^(4)y^(-2))/(-15w^(-6)y^(2))$

Using law of exponents $(x^(m) )/(x^(n) ) = x^((m-n))$

$=(w^(4-(-6))y^(-2-2))/(3)$

$=(w^(4+6)y^(-4))/(3)$

$=(w^(10)y^(-4))/(3)$

$=(w^(10))/(3y^(4))$

Therefore, third option $(w^(10))/(3y^(4))$ is correct.

What is the greatest common factor of the polynomial below?8x2 - 4x
O A. 4x
O B. 2x
O C. 2x2
O D. 4x2

Answers

Answer:

Step-by-step explanation:

8x^2 - 4x

4x(2x - 1)

GCF is 4x

Does the set of numbers 13, 21, and 24 form a Pythagorean triple? Explain. a. yes; 132 + 212 ≠ 242b. no; 132 + 212 = 242
c.no; 132 + 212 ≠ 242
d. yes; 132 + 212 = 242

Answers

For a Pythagorean triple:
a² + b² = c²
13² + 21² = 24²
169 + 441 = 576
610 ≠ 576
Answer:
C) No, 13² + 21² ≠ 24²

Answer:

No; no; 13^2 + 21^2 ≠ 24^2

Step-by-step explanation:

The sum of the squares of the legs is greater than the square of the hypotenuse, therefore this set of numbers DOES NOT form a Pythagorean triple. The sum of the squares of the legs must be equal to the square of the hypotenuse.

If sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section

Answers

The question was incomplete. Below you will find the missing content.

The questions on the first section on a test value 3 points and the questions in the second section carries 5 points. if sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section.And the maximum points she scored is 80.

Answer:

Sydney must have answered at least 8 answers in the second section.

Concept

What is Inequality?

Inequality is a condition which compare algebraic expression using greater than(>), less than(<) symbols. It also shows values greater than equal to(≥), less than equal to(≤) and not equal to(≠) signs to solve the equation.