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3 years ago

Square root of -1 = 1. Math test

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer:

false. the sqrt of -1 = i

Step-by-step explanation:

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QUICK! WHAT IS THIS ANSWER?

FromTheMoon [43]

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

we want to expand the following expression:

$\displaystyle - \frac{1}{4} ( - 8x + 12y)$

well to do so we consider distributive property thus distribute:

$\displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)$

reduce fraction which yields:

$\displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)$

simplify Parentheses:

$\displaystyle \boxed{ 2x - 3y}$

in the expression there's a common factor of 4 therefore factor it out:

$\displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}$

3 0

3 years ago

Suppose the population of a town is 17,400 and is growing 2% each year.

sveticcg [70]

Answer: 20,532

Step-by-step explanation:

17,400(.02)=348

348(9)=3132

17,400+3132=20,532

8 0

2 years ago

Read 2 more answers

A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables

nikitadnepr [17]

Answer:

The distribution is $\frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

Solution:

As per the question:

Total no. of riders = n

Now, suppose the $T_{i}$ is the time between the departure of the rider i - 1 and i from the cable car.

where

$T_{i}$ = independent exponential random variable whose rate is $\lambda$

The general form is given by:

$T_{i} = \lambda e^{- lambda}$

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

$S_{n} = T_{1} + T_{2} + ........ + T_{n}$

$S_{n} = \sum_{i}^{n} T_{n}$

Now, the sum of the exponential random variable with $\lambda$ with rate $\lambda$ is given by:

$S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

5 0

3 years ago

Pls help I’ll brainlest

lora16 [44]

Answer:

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

-60 -60

20x = 160

/20 /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

5 0

2 years ago

Triangle J is shown below. James drew a scaled version of Triangle J using a scale factor of 4 and labeled it

Novay_Z [31]

Answer:

The area of triangle K is 16 times greater than the area of triangle J

Step-by-step explanation:

we know that

If Triangle K is a scaled version of Triangle J

then

Triangle K and Triangle J are similar

If two triangles are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

Ak ------> the area of triangle K

Aj -----> the area of triangle J

$z^{2}=\frac{Ak}{Aj}$

we have

$z=4$

substitute

$4^{2}=\frac{Ak}{Aj}$

$16=\frac{Ak}{Aj}$

$Ak=16Aj$

therefore

The area of triangle K is 16 times greater than the area of triangle J

4 0

2 years ago

Read 2 more answers