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taurus [48]
2 years ago
8

(3-√5)(3-√5) Please Include Steps

Mathematics
1 answer:
wariber [46]2 years ago
4 0

\left( 3 - \sqrt 5 \right) \left( 3 - \sqrt 5 \right) \\\\=\left( 3 - \sqrt 5 \right) ^2\\\\=3^2 - 2 \cdot 3 \cdot \sqrt 5 + \left( \sqrt 5 \right)^2\\\\=9-6\sqrt5 +5\\\\=14-6\sqrt 5\\\\=2(\left7-3\sqrt 5 \right)

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2) What is the value of the digit 2 in the number 529?*<br> 12<br> 20<br> 29<br> 200
alex41 [277]

Answer:

20

Step-by-step explanation:

2 in 529 is in the tens place - 10

So if 2 is in the tens place, we have 20 as the value of 2.

4 0
3 years ago
Read 2 more answers
What are the 3 steps to problem solving with efficiency?
Burka [1]

Answer:

Step 1: Identify the Problem. ...

Step 2: Analyze the Problem. ...

Step 3: Describe the Problem. ...

Step 4: Look for Root Causes. ...

Step 5: Develop Alternate Solutions. ...

Step 6: Implement the Solution. ...

Step 7: Measure the Results.

7 0
2 years ago
Five thousand tickets are sold at​ $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded a
aksik [14]

Answer:

the expected value of this raffle if you buy 1​ ticket = -0.65

Step-by-step explanation:

Given that :

Five thousand tickets are sold at​ $1 each for a charity raffle

Tickets are to be drawn at random and monetary prizes awarded as​ follows: 1 prize of ​$500​, 3 prizes of ​$300​, 5 prizes of ​$50​, and 20 prizes of​ $5.

Thus; the amount and the corresponding probability can be computed as:

Amount                            Probability

$500 -$1 = $499                1/5000

$300 -$1 = $299                3/5000

$50 - $1 = $49                     5/5000

$5 - $1 = $4                      20/5000

-$1                                   1- 29/5000 = 4971/5000

The expected value of the raffle if 1 ticket is being bought is  as follows:

E(x) = \sum x  * P(x)

E(x) = (499 * \dfrac{1}{5000} + 299 *\dfrac{3}{5000} + 49 *\dfrac{5}{5000} + 4 * \dfrac{20}{5000}  + (-1 * \dfrac{4971}{5000} ))

E(x) = (0.0998 + 0.1794+0.049 + 0.016  + (-0.9942 ))

E(x) = (0.3442 -0.9942 )

\mathbf{E(x) = -0.65}

Thus; the expected value of this raffle if you buy 1​ ticket = -0.65

7 0
3 years ago
20) Your goal is to earn at least $234.50 this week. If you earn $8.00 per hour plus a bonus amount of $130.50, how many hours d
NISA [10]

Answer:

13

Step-by-step explanation:

243.50 - 130.50 = 104

104 ÷ 8 = 13

6 0
3 years ago
There are a total of 64 students in a drama club and a yearbook club. The drama club has 14 more students than the yearbook club
yawa3891 [41]
Answer:

39 students in the drama club, 25 in the yearbook club.

Explanation:

X=number of students in the drama club
Y=number of students in the yearbook club

X+Y=64
X−14=y
Subtract the equations
X−X+Y+14=64−Y
Y+14=64−Y
Subtract 14, add Y
Y+Y+14−14=64−14−Y+Y
2Y=50
Divide by 2
Y=25
X+25=64
Subract 25
X=64−25
X=39

8 0
3 years ago
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