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2 years ago

What is the absolute value of -5/9

Mathematics

1 answer:

Finger [1]2 years ago

8 0

Answer:

5/9

Step-by-step explanation:

In short, the absolute value of a number turns that number into a positive value no matter what. Here is a small representation:

Negative -> Positive

Positive -> Positive

Since we are working with a negative value, it will turn positive.

Best of Luck!

You might be interested in

Translate this phrase into an algebraic expression.

Naily [24]

Answer:

2m + 8

Step-by-step explanation:

It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8

5 0

2 years ago

In a game if you roll 1 on a 6 sided number cube you lose a turn. Answer for a b and c and explain each answer show your work.

Drupady [299]

(A) The probability that you roll a 1 would be 1/6 because there are six sides of a dice and only one is a 1.

(B) The probability that you either roll a 1 or don't roll a 1 is 1/6 and 5/6, since the probability that you do roll a 1 is 1/6 and the probability that you don't is 5/6 since the other 5 sides of the dice are not ones.

(C) As stated above, the probability of not rolling a 1 is 5/6 since there are 6 sides of the dice and 5 are NOT ones.

Hope that helped!

3 0

2 years ago

Complete the identity. 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?

Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified

Given

$sec^4 x + sec^2 x tan^2 x - 2 tan^4 x$

Required

Simplify

$(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2$

Represent $sec^2x$ with a

Represent $tan^2x$ with b

The expression becomes

$a^2 + ab- 2 b^2$

Factorize

$a^2 + 2ab -ab- 2 b^2$

$a(a + 2b) -b(a+ 2 b)$

$(a -b) (a+ 2 b)$

Recall that

$a = sec^2x$

$b = tan^2x$

The expression $(a -b) (a+ 2 b)$ becomes

$(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

..............................................................................................................................

In trigonometry

$sec^2x =1 +tan^2x$

Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

$sec^2x - tan^2x =1$

..............................................................................................................................

Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

$sec^2x+ 2 tan^2x$ ------------------This is an equivalence

$(secx)^2+ 2 (tanx)^2$

Solving further;

................................................................................................................................

In trigonometry

$secx = \frac{1}{cosx}$

$tanx = \frac{sinx}{cosx}$

Substitute the expressions for secx and tanx

................................................................................................................................

$(secx)^2+ 2 (tanx)^2$ becomes

$(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2$

Open bracket

$\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})$

$\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}$

Add Fraction

$\frac{1 + 2sin^2x}{cos^2x}$ ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

$sin^2x + cos^2x= 1$

Make $sin^2x$ the subject of formula

$sin^2x= 1 - cos^2x$

................................................................................................................................

Substitute the expressions for $1 - cos^2x$ for $sin^2x$

$\frac{1 + 2(1 - cos^2x)}{cos^2x}$

Open bracket

$\frac{1 + 2 - 2cos^2x}{cos^2x}$

$\frac{3 - 2cos^2x}{cos^2x}$ ---------------------- This is another equivalence

8 0

2 years ago

If the coefficient of determination for a data set is 0.25 and the SSE for the data set is 6, what is the SST for the data set ?

Cerrena [4.2K]

Answer: The SST for the data set is 8.

Step-by-step explanation:

Since we have given that

Coefficient of determination (R²) = 0.25

SSE for the data = 6

SST = ?

As we know the formula for coefficient of determination:

$R^2=1-\dfrac{SSE}{SST}\\\\0.25=1-\dfrac{6}{SST}\\\\0.25-1=-\dfrac{6}{SST}\\\\-0.75=-\dfrac{6}{SST}\\\\SST=\dfrac{6}{0.75}\\\\SST=8$

Hence, the SST for the data set is 8.

7 0

3 years ago

Read 2 more answers

Evaluate 2b + c for b = 5 and c = 5 Please help

Svet_ta [14]

Answer:

2(5)+5=15

Step-by-step explanation:

1. you have the equation 2b+c

2. then you add the numbers for c and b

3. so b=5 and c=5

4. once you add it into the problem then you get 2(5)+5 make sure you remember to times 2 x 5

5. then you do PEMDAS

6. you do multiply so 2x5 is 10

7. then do 10+5 and you get 15 as your answer.

7 0

2 years ago