An experiment requires that each student use an 8.5 cm length of magnesium ribbon. How many students can do the experiment if there is a 570 cm length of magnesium ribbon available?

Answers

Answer 1

Answer: Just divide 570 cm by 8.5 cm to get number of students.

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Which explanation correctly solves this problem? Reggie was fixing his fence. At the end of the day, he had 13.5 feet of fence left over. During the day, he had used one 2.5-foot-long piece of fence, two 6.75-foot-long pieces, and one 12-foot-long piece. How many feet of fence did Reggie have at the beginning of the day? A. Start with 13.5. Add 2.5 to it. Add 6.75 to the sum. Then add 12 to the answer. B. Start with 13.5. Add 2.5 and 6.75 and 12. Add this sum to 13.5. C. Start with 13.5. Add 2.5 to it. Multiply 6.75 by 2 and add the sum and the product together. Then add 12 to the answer.
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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = 8x7 – x5 + x3+6

Answers

According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.

According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6 x$ is $\boxed7.$

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

$f\left( x \right) = a{x^n} + b{x^(n - 1)} +\ldots + cx + d$

The polynomial function has n roots or zeroes.

Degree is highest power of the polynomial function.

Given:

The polynomial function is $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6.$

Explanation:

The polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6$ has seven zeroes as the degree of the polynomial is 7.

According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6$ is $\boxed7.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: quadratic equation, equation factorization. Factorized form, polynomial, quadratic formula, zeroes, Fundamental Theorem of algebra, polynomial, seven roots.

Best describes the algebraic expression 15x+8

Answers

The following expression is 23

15x + 8 is an expression. This is because it has no "sides" like in a equation.

Write 1.452 x 10^3 as an ordinary number

Answers

Step-by-step explanation:

1.452 * 10³ in ordinary number.

= 1.452 * 1000

= 1452

Hope it will help :)

Final answer:

The number 1.452 x $10^3$ in scientific notation can be written as the ordinary number 1452 by shifting the decimal point three places to the right.

Explanation:

The given number is in scientific notation and we need to convert it into an ordinary number. It uses a decimal number between 1 and 10 (inclusive) and multiplies it by a power of 10.

In the given expression 1.452 x $10^3$ , the $10^3$ means we need to shift the decimal place in 1.452 three places to the right. This is because the exponent is positive. After shifting, the number becomes 1452.

Learn more about Scientific Notation here:

brainly.com/question/2005529

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Explain how to do the factor tree for 75

Answers

separate 75 into two numbers. Lets use 15 and 5. 15 can be reduced into 3 and 5, while 5 cannot be reduced. The remaining numbers you have will be 5, 5, and 3.

75
/ \
15 5
/ \
3 5

Like this- . 75 . /. \. . 25. 3 . /. \. . 5. 5. So the factors are- 3x5x5. Hope I helped!

Simplify the polynomial(-8x) + x + (-2x) a) 5x , b) 9x , c)-9, d) -5x

Answers

$(-8x) + x + (-2x)$

$-8x+x-2x$

$= -9x$

(-8x) + x + (-2x) = -8x + 1x - 2x = (-8 + 1 - 2)x = -9x

The universal set is the set of whole numbers less than 14.U = {0,1,2,3,4,5,6,7 ,8 ,9 ,10 ,11 ,12 ,13}

Set J is the set that represents the numbers that Janet thinks are lucky.
J={3,7}

Set K is the set that represents the numbers that Kyle thinks are awesome!
K={2,4,6,8}

Set L is the set that represents the numbers that Lauren thinks she should write on the wall of her bedroom (with her parent’s permission, of course)!
L={0,3,5,6,7,8,9}

What is the set defined by ~(J ∪K) ?

Answers

~(J ∪K) = not J union K = not {2, 3, 4, 6, 7, 8} = {0, 1, 5, 9, 10, 11, 12, 13}

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