How would you solve/approach this:
sin−1(sin(7π/3))

Answers

Answer 1
Answer: Hello,

7π/3≡π/3 (mod 2π)

arcsin(sin(x))=x  ((f^-1 o f)=1)






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Solve the inequality. |3x + 6| < 12A. –6 > x > 2

B. –2 < x < 2

C. –6 < x < 2

D. –21 < x < 3

Answers

The solution to the inequality |3x + 6| < 12 is -6 < x < 2, which corresponds to option C.

To solve the inequality |3x + 6| < 12, we can break it down into two separate inequalities:

3x + 6 < 12

-(3x + 6) < 12

Solving the first inequality:

3x + 6 < 12

Subtracting 6 from both sides:

3x < 6

Dividing both sides by 3 (since 3 is positive, we don't need to change the direction of the inequality):

x < 2

Solving the second inequality:

-(3x + 6) < 12

Distributing the negative sign:

-3x - 6 < 12

Adding 6 to both sides:

-3x < 18

Dividing both sides by -3 (since -3 is negative, we need to change the direction of the inequality):

x > -6

Combining the solutions from both inequalities, we have:

-6 < x < 2

Therefore, the correct option is C. -6 < x < 2.

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Hello,

Answer C

if 3x+6>0 then |3x+6|=3x+6
==> 3x+6<12==>3x<9==>x<2
else
|3x+6|=-3x-6
-3x-6<12==>-3x<18==>x>-6

-6<x<2


Need help
-1/2 + (3/4X4/9)=

Answers

Answer:

-(1)/(6)

Step-by-step explanation:

In order to find the answer to this question you must use order of operations and add after finding the common denominator.

-(1)/(2) +((3)/(4) *(4)/(9) )

P goes first

(3)/(4) *(4)/(9)

Solve:

3*4=12

4*9=36

=(12)/(36)

Reduce:

12/6=2

36/6=6

2/2=1

6/2=3

=(1)/(3)

-(1)/(2) +(1)/(3)=(-1*3)/(2*3) +(1*2)/(3*2) =-(1)/(6)

=-(1)/(6)

Hope this helps.

Answer:

The correct answer would be negative 1 over 6 also written as -1/6

Step-by-step explanation:

HAVE A GOOD DAY!

Spencer is designing the interior of a house. The length of one room is twice as long as it's width

Answers

Final answer:

The subject of this question is Mathematics at a High School level. The length of the room is twice the width.

Explanation:

The subject of this question is Mathematics and it is at a High School level.

Step 1: Define the variables

Let the width of the room be represented by w.

Then, the length of the room would be 2 times the width, so it can be represented as 2w.

Step 2: Set up an equation

Since we know that the length is twice the width, we can write the equation:

2w = l

Step 3: Solve for the length

To find the length, we substitute the value of the width into the equation:

2w = 2 * w

l = 2w

So, the length of the room is twice the width.

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L=w+w so W*2=L. i’m gonna need some numbers but that’s the basic equation

Which of the following is an example of empirical probability?A. Darren threw a football to Ted 15 times, and Ted caught it 13 times. The probability Ted will catch a throw is .B. Jena has 8 T-shirts in a drawer, and 3 of them are blue. The probability of pulling out a blue T-shirt is .C. When a coin is flipped, heads and tails are equally likely. The probability of heads is .D. A spinner has 4 equal sections numbered 1 to 4. The probability of spinning the number 1

Answers

Empirical probability is the ratio of the number of outcomes with the actual number of trials. This means that it relies on experimental data and not on the theoretical probability.

The only options that makes use of actual data or the trials done is
A. Darren threw a football to Ted 15 times, and Ted caught it 13 times. The probability Ted will catch a throw is .

Write these values in order, starting with the smallest.
0.2
1/2
2%

Answers

Step-by-step explanation:

In this case we need to arrange the given number in a order starting with the smallest.

First number is 0.2

Second number is 1/2

Third number is 2%

Firstly, we need to convert these number in same form i.e. decimal form.

1/2 can be written as 0.5

2% can be written as (2)/(100)=0.02

Now, it is required to arrange these number from smallest to largest. So,

0.02 is the smallest number and 0.5 is the largest number.

Order is : 0.02, 0.2, 0.5

The graphs of f(x) and g(x) are shown below:graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = (x + 5^)2

g(x) = (x − 5)^2

g(x) = (x − 9)^2

g(x) = (x + 9)^2

Answers

Answer:

The equation for g(x) is:

g(x)=(x+5)^2

Step-by-step explanation:

We are given the information about the graph of the function f(x) and g(x) as:

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-5,0).

If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).

Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).

so, the equation of g(x) will be:

g(x)=(x+5)^2.

Hence, the translation is a shift of the function f(x) 2 units to the right.

The right answer for the question that is being asked and shown above is that: "g(x) = (x − 5)^2" If f(x) = (x + 7)^2, the expression that is g(x) based on the translation is that g(x) = (x − 5)^2