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Yuki888 [10]
3 years ago
9

Shelpa bought 30 t-shirts at a closing store 20%were blue and .5 of the t shirts were black how many if the shirts were neitger

black nor blue
Mathematics
1 answer:
Tresset [83]3 years ago
4 0
15 shirts are black
6 shirts are blue
21 shirts are blue and black
9 shirts are not blue or black
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I need to solve the equation please help me
lesantik [10]

Answer:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

Step-by-step explanation:

We are given the equation:

4\sin^2(x)+6\sin(x)+2=0

First, we can divide everything by 2:

2\sin^2(x)+3\sin(x)+1=0

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

2u^2+3u+1=0

Solve for u. Factor:

(2u+1)(u+1)=0

Zero Product Property:

2u+1=0\text{ or } u+1=0

Solving for both cases:

\displaystyle u=-\frac{1}{2}\text{ or } u=-1

And by substitution:

\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

\displaystyle x=\frac{3\pi}{2}+2n\pi

All together, our solutions are:

\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}

4 0
3 years ago
Mrs.Wing is preparing to tape up posters made by her students on the wall. She cuts tape into 1/4 foot pieces. How many 1/4 piec
AlekseyPX

Answer:

20

Step-by-step explanation:

5 divided by 1/4

5 x 4

6 0
4 years ago
Which product is negative?
katovenus [111]
Last one because it has an odd number of negative signs
8 0
3 years ago
Read 2 more answers
Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha
alexira [117]
Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20}  
\\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}

Probability of combined events is 
P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}
7 0
3 years ago
Read 2 more answers
Please help need an answer (show work answer)
koban [17]
The answer is J

The rides she wants to ride cost 4+6+3 tickets so that goes on one side.  She already has 7 tickets so you need to know 7 plus what will get her on those rides so those go on the other side.  So you have:
7+t=4+6+3
Then you solve for t
7+t=13
t=13-7=6

Hope that helps.
6 0
3 years ago
Read 2 more answers
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