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likoan [24]
3 years ago
7

1. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i)

Mathematics
1 answer:
lord [1]3 years ago
5 0

Step-by-step explanation:

(3 − 4i) (1 + 5i) − (2 − i)

3 + 15i − 4i − 20i² − 2 + i

1 + 12i + 20

21 + 12i

(a² + 3a − 7) (2a² − a + 4)

a² (2a² − a + 4) + 3a (2a² − a + 4) − 7 (2a² − a + 4)

2a⁴ − a³ + 4a² + 6a³ − 3a² + 12a − 14a² + 7a − 28

2a⁴ + 5a³ − 13a² + 19a − 28

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According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are re
Anna35 [415]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

5 0
3 years ago
Zoe and hannah share tips in the ratio 3:7 last week zoe recieved £24 how much did hannah recive last week
torisob [31]

Answer:

56

Step-by-step explanation:

Zoe and Hannah shared tips in the ratio

3:7

Last week Zoe received $24

Hence the amount received by Hannah can be calculated as follows

3/7= 24/x

168= 3x

x= 168/3

= 56

Hence Hannah received €56

8 0
3 years ago
What are the measures of the numbered angles
Mumz [18]

Answer: 2 has to be a right angle

Step-by-step explanation:

Right angles are 90 degrees.

6 0
3 years ago
Read 2 more answers
40 points plz help if u can Which function has no Zeroes? Select all that apply.
Damm [24]
<h3>2 Answers: Choice C and choice D</h3>

y = csc(x) and y = sec(x)

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

Explanation:

The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.

Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.

The same applies to...

  • y = cot(x)
  • y = sin(x)
  • y = tan(x)

So we can rule out choices B, E and F.

Only choice C and D have graphs that do not have any x intercepts at all.

------------

If you're curious why csc doesn't have any roots, consider the fact that

csc(x) = 1/sin(x)

and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.

sec(x) = 1/cos(x)

7 0
3 years ago
Find the value of x and then find m∠H. PLEASE HELP
kramer

Answer:

Here,

6x - 1 + 5x + 17 = 126

or,11x + 16 =126

or, 11x = 110

Therefore,x=10

the value of angle h is=6x-1

=6×10-1

=59#

5 0
3 years ago
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