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3 years ago

Simplify. (5sqrt2-1)^2

Mathematics

2 answers:

lidiya [134]3 years ago

8 0

Answer:

(5√2-1)^2= (5x1)^2=25

Step-by-step explanation:

I believe 25 is the correct answer because you simplify the parentheses first, then we raise to the second power so 5 times sqrt 1 is 5. Then 5 x 5 is 25.

Comment below if this helps, Thanks!

Over [174]3 years ago

5 0

Answer:

(5√2-1)^2= (5x1)^2=25

Step-by-step explanation:

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4 years ago

Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z

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2 years ago

In a particular class, exams are worth 50% of the overall grade, quizzes are worth 30% of the overall grade, homework is worth 1

UkoKoshka [18]

Answer:

His overall grade is 81.9%

Explanation:

The easiest way to solve this question is by using simple cross multiplication.

1- His overall percentage in exams:

We are given that exams are worth 50% of the grade and that he scored an average of 82.2%

Assume that his overall percentage in exams is e

We can setup the ratio and solve for e as follows:

$\frac{82.2}{100}=\frac{e}{50} \\ \\e=\frac{50*82.2}{100}=41.1$ %

2- His overall grade in quizzes:

We are given that quizzes are worth 30% of the grade and that he scored 74.4%

Assume that his overall percentage in quizzes is q

We can setup the ratio and solve for q as follows:

$\frac{74.4}{100}=\frac{q}{30} \\ \\q=\frac{30*74.4}{100}=22.32$ %

3- His overall grade in homework:

We are given that homework is worth 15% of the grade and that he scored an average of 90%

Assume that his overall percentage in exams is h

We can setup the ratio and solve for h as follows:

$\frac{90}{100}=\frac{h}{15} \\ \\h=\frac{15*90}{100}=13.5$ %

4- His overall grade in class participation:

We are given that class participation is worth 5% of the grade and that he scored a 100% in it

Assume that his overall percentage in exams is p

Since he scored 100%, then he scored the complete worth which is 5%

p = 5%

5- His overall grade in the course:

The student's overall grade in the course is the summation of the above calculated percentages

This means that:

Overall grade = e + q + h + p

Overall grade = 41.1 + 22.32 + 13.5 + 5

Overall grade = 81.92% which is 81.9% approximated to one decimal place

Hope this helps :)

3 0

3 years ago