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2 years ago

I need help this is due tomorrow !

Mathematics

2 answers:

natulia [17]2 years ago

6 0

Answer:

b i think

Step-by-step explanation:

Nikolay [14]2 years ago

3 0

A
B
C
D
E

All the angles are congruent since they're all 90°, since p and q are parallel and there's a straight line going through the middle.

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

2 years ago

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

lukranit [14]

Answer: $\dfrac{26}{27}$

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : $p=\dfrac{6}{9}=\dfrac{2}{3}$

Sample size taken by customs oﬃcial : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

The probability that the traveler will be arrested for illegal possession of narcotics = $P(x\geq1)=1-P(x=0)$

$1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}$

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = $\dfrac{26}{27}$

8 0

3 years ago

Without multiplying, circle whether eac less than, or equal to the whole numbe 4 X 국 greater than less than equal to

hichkok12 [17]

Given

1. 4 x 1/7

2. 12 x 2 5/6

procedure

$4*\frac{1}{7}$

1. The answer is 4 x 1/7 is less than 4

$12*2\frac{5}{6}>12$

2. The answer is 12 x 2 5/6 is greater than 12

7 0

10 months ago

Writing expressions word prob

insens350 [35]

Don’t follow the link he or she gave you.

7 0

2 years ago

The farmer's market sells fruit baskets. Each basket contains 12 apples and 4 pears. Use a to represent the cost of each apple a

romanna [79]

Answer:

a) a x 12

b) p x 4

c) (a x 12) + (p x 4)

Step-by-step explanation:

These are the answers because:

1) Since a is representing the cost of each apple, we have to multiply the a with 12.

2) Since p is representing the cost of each pear, we have to multiply the p with 4.

3) Finally, for c, each basket contains 12 apples and 4 pears. Therefore, we just use our eautions from before and add them which will give you the total cost of one basket.

Hope this helps! :D

7 0

2 years ago