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3 years ago

2 more to go!!!! HELP ME!!!!!

Mathematics

1 answer:

Musya8 [376]3 years ago

3 0

To divide complex numbers, you multiply by the conjugate. The conjugate is when you change the sign between the two terms in the denominator. Therefore, the conjugate in this one is (3+i)

$\frac{13-i}{3-i} * \frac{3+i}{3+i}$ ← Then, you foil these guys:

$\frac{(13-i)(3+i)}{(3-i)(3+i)} = \frac{40+10i}{10} = 4 + i$ or C

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line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image

Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

$(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)$

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

$(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)$

$(0,-4)\rightarrow (0, 6)$

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6

5 0

3 years ago

Imagine that you have developed a genetic test to detect the dominant allele (A) that cause a rare genetic condition. As with mo

s344n2d4d5 [400]

Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

X = the test is positive.

A = a person with the dominant allele

The information given are:

$P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01$

According to the law of total probability the probability of an event A, conditional upon the occurrence of another event B is:

$P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

Use this law to compute the probability of person having a positive result as follows:

$P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495$

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

4 0

3 years ago

Find the volume of a box with length 25 cm, height 25 cm and width 1.0 m.

Xelga [282]

If the box if cubed for volume then lbh is 25x25x100=62500 cm ^3...if that's right. hope it helps any.

7 0

3 years ago

Tasha has foam blocks stored in a box that measures 314 ft long by 3 ft wide by 1 ft tall. Each foam block is a cube with 14 -ft

Ilia_Sergeevich [38]

Answer: 624 is the answer i just took the test

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Help me plz !!!!!!!!! >,

Viktor [21]

Answer: 21/28

Step-by-step explanation: you know 75/100 is 0.75, which means whatever is on top of 28 has to be less than 28 so the answer is less than 1. I just plugged in numbers until I got the right answer.

7 0

3 years ago