Answer:
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
so we get as,
|y| = 2-9i
so the absolute value is |y|
|y|=√ 2 to the 2nd power plus 9 to the second power
so we get as,
|y|=
√81+4=√85
so the value is √85
Example:
| − 2 − i | = √ 5
Explanation:
Absolute value of a complex number a + i b is written as | a + i b | and its value as √a 2 + b 2 .
Hence, absolute value of − 2 − i is √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .
Step-by-step explanation:
need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.
Answer:
The coordinates of G are: (-8, -10)
Step-by-step explanation:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Where,
[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
As per question statement, we are given that:
[tex]x_2=-4\\y_2=4[/tex]
and
[tex]x=-6\\y=-3[/tex]
To find:
[tex]x_1 = ?\\y_1 = ?[/tex]
Solution:
Let us use the mid point formula:
[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]
[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]
The coordinates of G are: (-8, -10)
During a period of 112 minutes, a music station played 40 minutes of commercials. What
is the ratio of music they played to commercials they played?
Answer:
9:5
Step-by-step explanation:
112 - 40 = 72. 112 represents the total time, but you are comparing music to commercials, so you have to subtract the commercial time from the total time.Find the GCF of 72 and 40, which is 8. Divide 72 and 40. The simplified ratio is 9:5.-3 -2e -7 = 10
e =
Solve for e
Answer:e=-10
Step-by-step explanation:
-2e-7=13
-2e=20
e=-10
What is the image of 2,-1 after a reflection over the y axis
There are no images included, but it would be -2,-1.
Please answer this thanks
Answer:
c
Step-by-step explanation:
Which statement about the diagram is true
Answer:
AB have the length of 9
Step-by-step explanation:
5 is to short 14 is too long in between would be 9
You can buy 10 APPLES for $12.00. How much will it cost to buy 6 APPLES?
Answer: $7.20
Step-by-step explanation: Let me know if I'm wrong!
According to the U.S. Census Bureau, 20.2% of American women aged 25 years or older have a Bachelor's Degree; 16.5% of American women aged 25 years or older have never married; among American women aged 25 years or older who have never married, 22.8% have a Bachelor's Degree; and among American women aged 25 years or older who have a Bachelor's Degree, 18.6% have never married.
Required:
a. Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
b. Suppose an American woman aged 25 years or older is randomly selected, what is the probability she has a Bachelor's Degree and has never married? Interpret this probability.
Answer:
(a) Not independent
(b) The probability the woman has a Bachelor's Degree and has never married is 0.046.
Step-by-step explanation:
Denote the events as follows:
X = American women aged 25 years or older have a Bachelor's Degree
Y = American women aged 25 years or older have never married
The information provided is as follows:
P (X) = 0.202
P (Y) = 0.165
P (X | Y) = 0.228
P (Y | X) = 0.186
(a)
If two events, say A and B are independent then,
P (A|B) = P (A) and P (B|A) = P (B)
Since,
P (X | Y) ≠ P (X)
P (Y | X) ≠ P (Y)
The events "have a Bachelor's Degree" and "never married" are not independent.
(b)
Compute the probability the woman has a Bachelor's Degree and has never married as follows:
[tex]P(X\cap Y)=P(X|Y)\times P(X)\\\\=0.228\times 0.202\\\\=0.046056\\\\\approx 0.046[/tex]
Thus, the probability the woman has a Bachelor's Degree and has never married is 0.046.
I need some help with these, I would appreciate it.
i need help!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°
Answer:
A C E
Step-by-step explanation:
Write -2(pi)/9 in degrees.
Answer:
-40 DEGREES
Step-by-step explanation:
HELP PLEASE HELP ILL GIVE U 15 points and BRAINLIEST to the correct answer (DONT guess please)
Consider the function.
f (x)= -80 +4
What is the value of f (-1/4)?
A. 0
B.2
C. 3
D. 6
Answer: the answer is b
Step-by-step explanation:
Just trust me
HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.
Answer:
24x - 9y=0
Step-by-step explanation:
8x=3y+2-16x+6y=2
8x=9y+2-16x=2
8x+16-9y=2-2
24x-9y=0
Apply the distributive property to the expression to write an equivalent expression.
5x + 35
Complete the statements.
Find the GCF of
.
Now, factor out the GCF by dividing each term in the expression by
.
5x divided by the GCF is
, and 35 divided by the GCF is
.
The equivalent expression is
.
SOMEONE PLS HELP I'M. DYING PLS
Answer:
I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is : D A B B C your welcome
Crystal pushes a 20 kg box with a force of 40N. What is the box’s acceleration?
Answer:
2m/s
Step-by-step explanation:
Acceleration = force / mass
Acceleration = 40N / 20 kg
Acceleration = 2 m/s^2
1. At Store A, the price for pineapples is $5.00 for 2 pineapples.
2. At Store B, the price for pineapples is $8.00 for 4 pineapples.
Which store is offering the lower price per pineapple? Show your work or explain your answer.
Answer:
Store B
Step-by-step explanation:
If you divide 5 by 2, you get the unit price for Store A which is $2.50.
If you divide 8 by 4, you get the unit price for store B which is $2.00
Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.
what is 40/17 rounded to the nearrst hundreth as a decimal
Answer:
★ 40 over 17 is roughly 2.35294, which can be rounded to the nearest hundredth as 2.35
Step-by-step explanation:
Hope you have a great day :)
If 200 men can make a road 5 km long in 25 days ,how much overtime per day must 60 men can work to finish an road 2 km in 32 days , 12 hours being a day's work ?
Answer:
Solution with step by step explanation is the image attached below
What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply. -4 -3 win w bo 3 m/N 3 4
Answer:
Option (4) and Option (6)
Step-by-step explanation:
By the zero product property,
If (x - a)(x - b) = 0
Then, (x - a) = 0 ⇒ x = a
(x - b) = 0 ⇒ x = b
By following the zero product property,
From the given equation,
3(x - 4)(2x - 3) = 0
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ x = [tex]\frac{3}{2}[/tex]
Therefore, options (4) and (6) will be the correct options.
Answer:
4 and 6 :)
Step-by-step explanation:
edge
Find the measure of each angle
Answer:
Answer is in the screenshot provided.
Step-by-step explanation:
Work is also in the screenshot provided.
Faith invested \$1,100 in an account paying an interest rate of 5.1\% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=1100\hspace{35px}r=0.051\hspace{35px}t=18
P=1100r=0.051t=18
Given values
A=1100e^{0.051(18)}
A=1100e
0.051(18)
Answer: 2,750
Explanation:
Plug in
A=1100e^{0.918}
A=1100e
0.918
Multiply
A=2754.70450683
A=2754.70450683
Use calculator (with e button)
A\approx 2750
A≈2750
Round to nearest ten dollars
please heart!
VVV and rate stars! VVV :D
The amount of money after 18 years nearest to ten will be $2,750.
What is continuous compounding?Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.
The equation is given as,
[tex]\rm A=P_o \times e^{r \times t}\\[/tex]
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.
Then the amount after 18 years is calculated as,
[tex]\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}[/tex]
Simplify the equation further, then we have
A = $1,100 x 2.504
A = $2,754.7
The amount of money after 18 years nearest to ten will be $2,750.
More about the continuous compounding link is given below.
https://brainly.com/question/19522540
#SPJ3
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 5.3x - 9 + 7.6x
Answer:
12.9x - 9
your welcome
Solve: (3x-9) and (x + 5)
Answer:
2
Step-by-step explanation:
Got it right on my test
7. Jenny is saving to buy a laptop worth $960. Her parents promise to match every $3 saved
by her with $5 of their own.
a. How much will Jenny contribute?
b. How much will Jenny's parents have to pay?
Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]
Thanks!
Answer:
-a/bStep-by-step explanation:
a(x - 2y)/b(2y - x) = ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/bIs 13 a solution to the compound inequality d>5 and x<10
Answer:
Step-by-step explanation:
13>5 is correct but 13 < 10 is not correct
so 13 is not a solution
An african elephant in rhe wils will eat for as long as 16 hours each day. For how many hours does an elephant eat in one year? There are 365 days in one year.
Answer:
5840
Step-by-step explanation:
16 x 365 is 5840
Answer:
5,840
Step-by-step explanation:
16x365=?
16x365=5,840
Please help...20 points! And explain
Someone please help thanks
Answer:
P=8T/V
Step-by-step explanation:
V=8T/P
PV=8T
P=8T/V
Which equation has infinitely many solutions?