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2 years ago

Express the following expression in the form of a + bi: (39 + 34i) + (76 + 89i) - (47 +26i).

Mathematics

2 answers:

nika2105 [10]2 years ago

8 0

Answer:

68+97i

Step-by-step explanation:

(39 + 34i) + (76 + 89i) - (47 +26i).

Distribute the minus sign

(39 + 34i) + (76 + 89i) + (-47 -26i)

Combine like terms

(39+76-47)+(34i+89i-26i)

68+97i

andre [41]2 years ago

3 0

Answer:

68+97i

Step-by-step explanation:

work shown and pictured

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Use the elimination method to find all solutions of the system:

weqwewe [10]

Answer:

$x = 3$ and $y = 4$

Step-by-step explanation:

Given

[Correct Question]

$x^2 - 2y = 1$

$x^2 + 5y = 29$

Required

Solve using elimination

First, we eliminate x.

Subtract equation (1) from (2)

$x^2 - x^2 + 5y - (-2y) = 29 - 1\\$

$5y - (-2y) = 28$

$5y +2y = 28$

$7y = 28$

Divide through ny 7

$y = 4$

Take $x^2 - 2y = 1$

Make x^2 the subject

$x^2 = 1 + 2y$

Substitute 4 for y

$x^2 = 1 + 2*4$

$x^2 = 1 + 8$

$x^2 = 9$

Take square roots

$x = \sqrt 9$

$x = 3$

7 0

2 years ago

A toy company intends to ship out its entire stock of 13,257 toy trucks and five times as many toy cars. If each box hold 109 to

Leviafan [203]

There are 730 total boxes. The last box has 108 toys.

7 0

2 years ago

Please answer the question in the picture!

Rama09 [41]

The correct answer is the second one, I already answered it.

8 0

3 years ago

After the 4th half life how much of the sample is left if the mass is 100g.

vazorg [7]

Answer:

$\huge\boxed{\sf 6.25 \ g}$

Step-by-step explanation:

After every Half life , Half of the mass is left.

After 1st Half life = 100 g / 2 = 50 g

After 2nd Half life = 50 / 2 = 25 g

After 3rd Half life = 25 / 2 = 12.5 g

After 4th Half life = 12.5 / 2 = 6.25 g

$\rule[225]{225}{2}$

Hope this helped!

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2 years ago

(PLS HURRY ASAP 100 POINTS)

Sophie [7]

Answer:

D) 0.3125

====================

Total number of outcomes is 16, count of all outcomes.

Number of outcomes with 3 or more tiles is 5:

HTTT, THTT, TTHT, TTTH, TTTT

The probability is:

P = favorable outcomes / total outcomes
P(at least 3 tails) = 5/16 = 0.3125

Correct choice is D.

6 0

1 year ago