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abruzzese [7]
3 years ago
7

What is the product of V6 and7/18 in simplest radical form?

Mathematics
1 answer:
likoan [24]3 years ago
6 0

hope this will help u.........

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I’ll love u forever if u help me with this ASAP PLZZZ I don’t get it plzzz
laiz [17]

Answer:

v= 13

w= -32

Step-by-step explanation:

2v+6w=-36

5v+2w=1

2w= 1-5v

2v+ (3)(1-5v)= -36

2v+3-15v= -36

3-13v =-36

3--36= 13v

39= 13v

13 = V

5×13+2w=1

65+2w=1

1-65= 2w

-64=2w

-32=w

3 0
3 years ago
The amount of polonium-210 remaining, p(t), after t days in a sample can be modeled by the exponential function p(t) = 100e−0.00
Archy [21]

Answer:

% Po lost = 100[1 - e^(-0.005t)]  %; 73.0 g

Step-by-step explanation:

p(t) = 100e^(-0.005t)

Initial amount:        p(0) = 100

Amount remaining: p(t) = 100e^(-0.005t)

Amount lost: p(0) – p(t) = 100 - 100e^(-0.005t) = 100[1 - e^(-0.005t)]

% of Po lost  = amount lost/initial amount × 100 %

= [1 - e^(-0.005t)]  × 100 % = 100[1 - e^(-0.005t)]  %

p(63) = 100e^(-0.005 × 63) = 100e^(-0.315) = 100 × 0.730 = 73 g

The mass of polonium remaining after 63 days is 73 g.

4 0
3 years ago
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either
Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}

The steady state is that satisfies this product of matrixs:

[\pi] \cdot [P]=[\pi]

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)

Now we have to solve this equations

0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M

We choose one of the equations and solve:

0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

4 0
3 years ago
A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals.
soldier1979 [14.2K]

Answer:

134 sneakers and 66 sandals

Step-by-step explanation:

Sneakers= x, sandals= y

Profit rate:

  • sneakers: (10-2)/8= 25%
  • sandals: (17-14)/14= 21.4%

Sneakers are more profitable, so it should be maximized.

Cost:

8x+14y≤2000

x+y≤200

if we assume the maximum of 200 shoes stocked, then:

x= 200-y

8(200-y)+14y ≤ 2000

1600 - 8y +14y ≤ 2000

6y≤400

y≤66 and x=134 is the best option

3 0
3 years ago
Match each time with a time in the box.
BigorU [14]
If you would like to match each time with a time above, you can do this using the following steps:

a 3h 18m 7s = 11887s<span>
3h = 3 * 60m = 180m; 180m + 18m = 198m; 198m = 198 * 60s = </span>11880s; 11880s + 7s = 11887s

b <span> 8300min = approximately 5 days 18 hours
8300min = 8300 * 60s = </span>498000s
8300 min / 60 min = 138h 20min; 138h / 24h = 5 days 18 hours 20min

c 1461 days
1461 days = 1461 * 24 hours = 35064 hours

d <span>44640min. = 31 days
</span><span>44640min / 60min = 744 hours; 744 hours / 24 hours = 31 days

e </span><span>10:21:2.5
</span>10:21:2.5 = 10 hours, 21 minutes, 2 seconds, 50 milliseconds<span>
</span>
7 0
3 years ago
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