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3 years ago

7

A restaurant is open 24 hours a day. The manager wants to divide the day into work shifts equal length. The shifts should not be

overlap, and all this if duration should be a whole number of hours.

1 answer:

Scorpion4ik [409]3 years ago

8 0

The shifts can be divided into 4 hours, 6 hours, 12 hours, 2 hours, and 1 hour

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3+5i/-2+3i perform operation

melisa1 [442]

Answer:

$\dfrac{9}{13}-\dfrac{19}{13}i$

Step-by-step explanation:

Remember $i^2=-1$

You are given the fraction $\dfrac{3+5i}{-2+3i}$

First, multiply the numerator and the denominator by -2-3i:

$\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}$

This gives you 13 in denominator, now multiply two complex numbers in numerator:

$(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i$

Thus, the initial fraction is

$\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i$

4 0

3 years ago

Find the unit rate. Camryn paid $30.16 for 8 pounds of almonds

sergij07 [2.7K]

Answer:

The unit rate is $3.77

Step-by-step explanation:

You take 30.16 and divide that by 8 which equals 3.77

have a nice day! :)

5 0

3 years ago

Read 2 more answers

A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee

madreJ [45]

Answer:

The probability of choosing exactly 2 male and 4 female students = $\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}$

Step-by-step explanation:

We are given that a class has 35 students

Number of male=16

Number of female=19

We have to choose 6 students for committee

We have to find the probability that exactly 2 male students are selected

Probability=P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}$

If we have to choose total 6 student in which 2 male and 4 female

Combination formula:

$nC_r=\frac{n!}{r!(n-r)!}$

Using the formula

The probability of choosing exactly 2 male and 4 female students = $\frac{\binom{16}{2}\times \binom{19}{4}}{\binom{35}{6}}$

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3 years ago

Simplify.<br><br> [3 • (3 – 9)] + 9

Marat540 [252]

Answer:

(9-27)+9

=-18+9

<em><u>=-9</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em>

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3 years ago

Translate 6 units left and 7 units down

fredd [130]

A (-5,0) B (0,-2) C (-3,-4)

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3 years ago