All categories

2 years ago

Graph z = -5 - 3i on the complex plane on your own. Explain where you would find this point on a complex plane.

Mathematics

1 answer:

BartSMP [9]2 years ago

7 0

Answer:

The point is on the third quadrant

Step-by-step explanation:

∵ x-axis represent the real part of the complex number

∵ y-axis represent the imaginary part of the complex number

∵ z = -5 - 3i

∵ x is negative and y is negative

∴ The point z is on the third quadrant

You might be interested in

Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm

Andreyy89

Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

4 0

2 years ago

Norma received 1 penny on the first day of the month, and each day after that, she received triple the number of pennies that sh

hjlf

note that this isn't a summation problem, it just wants to find on what day will she get 10,000,000 dollars in 1 day

convert that the pennies to make it easier (100 pennies=1 dollar so that's 1,000,000,000 or a billion pennies) (note that 1,000,000,000=10^9)

each day is 3 times of the other

first day is 1, 2nd is 1*3, 3rd day is 1*3*3, 4th day is 1*3*3*3, etc

hmm, so after n days, the number of pennies is $1*3^{n-1}$

one long way is to keep dividing by 3 to find how many times we need to do that to find n

easier way is to do this:

1,000,000,000= $3^{n-1}$

take ln of both sides

$ln(1,000,000,000)=ln(3^{n-1})$

$ln(10^9)=ln(3^{n-1})$

use properties of logarithms

$9ln(10)=(n-1)ln(3)$

divide both sides by ln(3)

$\frac{9ln(10)}{ln(3)}=n-1$

add 1 to both sides

$\frac{9ln(10)}{ln(3)}+1=n$

using your calculator we get 19.863=n

so after 19.863 days

but we need a whole number of days so round up to 20

20 days

it will be on day 20 of the month

4 0

2 years ago

Read 2 more answers

The denominator of a certain fraction was 147 greater than its numerator. what was the denominator of this fraction, if after th

Dafna1 [17]

After reducing the fraction it becomes equal to 5/12. Let the common element which was cancelled out be x. So we can say the original fraction was $\frac{5x}{12x}$ .

The denominator of the fraction is 147 greater than the numerator. We can write it as:

12x = 147 + 5x

12x - 5x = 147

7x = 147

x = 21

So, the numerator of the fraction was 5 x 21 = 105
Denominator of the fraction was 12 x 21 = 252

So our original fraction was $\frac{105}{252}$

6 0

2 years ago

Explain when the median of a data set is a better measure of center than the mean

vlada-n [284]

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

5 0

2 years ago

Read 2 more answers

A bacteria sample can be modeled by the function f(x) - 350(1.20) which gives the number of bacteria in the sample at the end of

marissa [1.9K]

Answer: A) The initial number of bacteria is 350.

Step-by-step explanation:

Exponential growth equation: $f(x)=A(1+r)^x$ , where A=Initial value, r= growth rate. (i)