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pshichka [43]
3 years ago
12

What is the value of y when multiple by b

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

What?? I am very sorry, but this is confusing.

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What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}

\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
3 years ago
HELP giving brainlest and more points
cupoosta [38]

Answer:

4,000,000,000 meters

Step-by-step explanation:

4 x 10,000,000,000,000 x 0.0001 = 4,000,000,000 meters

4 0
3 years ago
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Common denominator of 5 6 7
Yanka [14]

Answer:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

Please consider giving me Brainliest

darrylh3333

Hope this helps

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3 0
3 years ago
What is the probability of the spinner landing on 2? A spinner is split into 4 equal parts labeled 1, 2, 3, and 4. StartFraction
liubo4ka [24]

Answer:

The probability of the spinner landing on 2 is one fourth.

Step-by-step explanation:

The spinner is split into 4 equal parts labeled 1, 2, 3, 4

The probability of the spinner landing on 2 is given as:

(Possibility of it landing on 2) ÷ (Total possible outcome)

The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.

It can only land on 2 once, so the possibility of it landing on 2 is 1.

Probability = 1/4

7 0
3 years ago
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Kevin ran for less than 5 miles<br><br> writ an inequality for each sentence.
ryzh [129]
k \leq  5
k=kevin's running
8 0
3 years ago
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