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RUDIKE [14]
3 years ago
11

(1 pt) Which operation should be performed first according to the order of operations? 55 ÷ 11 + 16 • [12 • 3 + (54 ÷ 3) – 17] A

. 55 ÷ 11 B. 11 + 16 C. 12 • 3 D. 54 ÷ 3 HELP RIGHT AWAY!!!
Mathematics
2 answers:
vredina [299]3 years ago
7 0
You should do what is in the parentheses first 
11111nata11111 [884]3 years ago
7 0

Answer:

Parenthesis which would start with [12*3+(54/3)-17]

Step-by-step explanation:

You would get your answer by using PEMDAS

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I need help on this question
kherson [118]

Answer:

A

Step-by-step explanation:

Just put x = 80 and y = 210 into the equation...

or put x = 40, y = 90.

A:

210 - 90 = 3(80-40)

120 = 120√

B:

210 + 90 = 3(80+40)

300 = 360×

C:

210 - 90 = 2.6(80-40)

120 = 104×

D:

210 + 90 = 2.6(80+40)

300 = 312×

8 0
3 years ago
I need help with my math homework. The questions is: Find all solutions of the equation in the interval [0,2π).
Aleksandr-060686 [28]

Answer:

\frac{7\pi}{24} and \frac{31\pi}{24}

Step-by-step explanation:

\sqrt{3} \tan(x-\frac{\pi}{8})-1=0

Let's first isolate the trig function.

Add 1 one on both sides:

\sqrt{3} \tan(x-\frac{\pi}{8})=1

Divide both sides by \sqrt{3}:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

Now recall \tan(u)=\frac{\sin(u)}{\cos(u)}.

\frac{1}{\sqrt{3}}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}

or

\frac{1}{\sqrt{3}}=\frac{-\frac{1}{2}}{-\frac{\sqrt{3}}{2}}

The first ratio I have can be found using \frac{\pi}{6} in the first rotation of the unit circle.

The second ratio I have can be found using \frac{7\pi}{6} you can see this is on the same line as the \frac{\pi}{6} so you could write \frac{7\pi}{6} as \frac{\pi}{6}+\pi.

So this means the following:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

is true when x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

where n is integer.

Integers are the set containing {..,-3,-2,-1,0,1,2,3,...}.

So now we have a linear equation to solve:

x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

Add \frac{\pi}{8} on both sides:

x=\frac{\pi}{6}+\frac{\pi}{8}+n \pi

Find common denominator between the first two terms on the right.

That is 24.

x=\frac{4\pi}{24}+\frac{3\pi}{24}+n \pi

x=\frac{7\pi}{24}+n \pi (So this is for all the solutions.)

Now I just notice that it said find all the solutions in the interval [0,2\pi).

So if \sqrt{3} \tan(x-\frac{\pi}{8})-1=0 and we let u=x-\frac{\pi}{8}, then solving for x gives us:

u+\frac{\pi}{8}=x ( I just added \frac{\pi}{8} on both sides.)

So recall 0\le x.

Then 0 \le u+\frac{\pi}{8}.

Subtract \frac{\pi}{8} on both sides:

-\frac{\pi}{8}\le u

Simplify:

-\frac{\pi}{8}\le u

-\frac{\pi}{8}\le u

So we want to find solutions to:

\tan(u)=\frac{1}{\sqrt{3}} with the condition:

-\frac{\pi}{8}\le u

That's just at \frac{\pi}{6} and \frac{7\pi}{6}

So now adding \frac{\pi}{8} to both gives us the solutions to:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}} in the interval:

0\le x.

The solutions we are looking for are:

\frac{\pi}{6}+\frac{\pi}{8} and \frac{7\pi}{6}+\frac{\pi}{8}

Let's simplifying:

(\frac{1}{6}+\frac{1}{8})\pi and (\frac{7}{6}+\frac{1}{8})\pi

\frac{7}{24}\pi and \frac{31}{24}\pi

\frac{7\pi}{24} and \frac{31\pi}{24}

5 0
3 years ago
What is the slope in the equation y=3/4x<br><br> What is the y-intercept also?
xenn [34]

Answer:

slope = 3/4

y- intercept : (0,0)

Step-by-step explanation:

4 0
3 years ago
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
Katyanochek1 [597]
Y= mx+b form: y= -1/4x +6
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3 years ago
A new bookcase costs $76 if you buy it already painted the color you want. If you buy it unfinished (not painted at all) then it
lapo4ka [179]

23.68421053%

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8 0
3 years ago
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