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3 years ago

4. Find the value of the real number y such that

Mathematics

1 answer:

sdas [7]3 years ago

3 0

Step-by-step explanation:

(3 + 2i)(1 + iy)

= 3 + (3y + 2)i - 2y (because i² = -1)

For this to be real, (3y + 2) = 0. => y = -2/3

For this to be imaginary, y can be any real or complex number (except -2/3)

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The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the function

svp [43]

Answer:

$r=22.07\ in$

Step-by-step explanation:

<em><u>The correct function is</u></em>

$m(r)=7.188\pi r^{2}$

we have

System of equations

$m=7.188\pi r^{2}$ -----> equation A

$m=11,000$ -----> equation B

Solve by substitution method

substitute equation B in equation A

$11,000=7.188\pi r^{2}$

Solve for r

Divide by 7.188π both sides

$r^{2}=\frac{11,000}{7.188\pi}$

square root both sides

$r=22.07\ in$

5 0

3 years ago

Read 2 more answers

on monday mrs jones spent 32 dollars on 4 books. on tuesday she spent $16 on more books.each book cost the same amount. how many

Gala2k [10]

She bought 6 books in all because if you divide the whole number of all the books in all which is $32 divide that by 4 so..

32 ÷4=8

so thats just the 4 books then she buys 16 more dollars worth that which you then multiply 4 times 8 which give you 16 so you then add the 4 books to the other 2 books spent on the next day

ANSWER: 6 BOOKS IN ALL

6 0

3 years ago

If I use the distributive property to simplify the expression: 2(6y - 3), I should

igor_vitrenko [27]

Answer:

multiply the factor 2 with each term inside the parentheses

4 0

4 years ago

Hey can you please help me posted picture of question

lapo4ka [179]

The correct Option is (C) 5x(3x^2 + 4)

Explanation:
15x^3 + 20x

Take common terms out:
5x(3x^2 + 4) Which is option C.

4 0

4 years ago

a garrison of 60 soldiers had provisions for 45 days. if 15 more soldiers joined the garrison, for how long would the same provi

Eva8 [605]

Answer:

36 days.

Step-by-step explanation:

60 + 15 = 75 soldiers.

By proportion the number of days that the provisions will last

= 45 * (60/75)

= 45 * 4/5

= 36 days.

5 0

2 years ago