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NemiM [27]
3 years ago
15

You have two boxes of colored pens. The first box contains a red pen, a blue pen, and green pen. The second box contains a yello

w pen, a red pen, and a black pen. What is the set that represents all the pens?
A. {red pen, blue pen, green pen}
B. {red pen}
C. {red pen, red pen, green pen, yellow pen, black pen}
D. {red pen, blue pen, green pen, yellow pen, black pen}
Mathematics
2 answers:
Stella [2.4K]3 years ago
7 0

Answer: Unions and Intersections of Sets Quick Check

1.  {Red pen,blue pen,green pen,yellow pen,black pen}

2. {Walnuts, peanuts, pistachios, pecans, almonds, Brazil nuts}

3. {0,3,6,9,12}

4. {Fever, joint pain,tiredness}

5. {Wheat, baking soda, salt}

Step-by-step explanation:

jarptica [38.1K]3 years ago
3 0
<em>D. Although C might be correct, D lists the blue pen that is in the first box and C doesn't.</em>
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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

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3 years ago
Need help with a math probelm gvie 5 star if do
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Answer:

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Step-by-step explanation:

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Answer the following questions
EleoNora [17]
1. In a week there are 7 days. So your andwer would be 21/10. The decimal is 2.1.
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3 years ago
Help needed! How do I solve this?<br>Excuse the answers that are already in there!
anastassius [24]
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9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
Helen [10]

Answer:

387420489

Step-by-step explanation:

9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = 387420489


Have a lovely day! ~Pooch ♥

7 0
3 years ago
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