The solution is : Option B is correct, i.e. √13., is the distance from the origin to point A graphed on the complex plane.
What is distance?The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
here, we have,
Given is the complex plane and the coordinates of point A(-3, -2).
Distance from the origin of point A could be find using Distance formula given as follows:-
Distance = √{(-3-0)² + (-2-0)²}
OA = √(9+4)
OA = √13.
Hence, option B is correct, i.e. √13. is the distance from the origin to point A graphed on the complex plane.
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Ben deosites 4580 in an account that earns 6% apr compounded weekly. What is the ending balance after 2 years
Given:
Principal value = 4580
Rate of interest = 6% apr compounded weekly
To find:
The total amount after 2 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
1 year = 52 week
n=52
Putting P=4580, r=6, n=52, t=2 in the above formula, we get
[tex]A=4580\left(1+\dfrac{6}{100(52)}\right)^{52\times 2}[/tex]
[tex]A=4580\left(1+\dfrac{6}{5200}\right)^{104}[/tex]
[tex]A=4580\left(1+\dfrac{3}{2600}\right)^{104}[/tex]
[tex]A=4580\left(\dfrac{2603}{2600}\right)^{104}[/tex]
On further simplification, we get
[tex]A=4580(1.1274188)[/tex]
[tex]A=5163.5781[/tex]
[tex]A\approx 5163.58[/tex]
Therefore, the ending balance after 2 years is 5163.58.
Neeed help asap!!!!!!!
Answer:
b
Step-by-step explanation:
its on the half
Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?
Answer:
12/20
Step-by-step explanation:
Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?
The number of rolls that are whole wheat is calculated as:
3/5 × 20 bread rolls
= 12 wheat bread rolls
Hence, the other fraction thag represents the part of rolls that are whole wheat = 12 wheat bread rolls/20 bread rolls
= 12/20
A triangle has an area of 96 square inches. The base is 8 inches. What is the height (in inches)? plzzzz help
Answer:
4236
Step-by-step explanation:
youyou get that answer by writing and taking notes and going to sleep early to cover fresh mindset and learning might sit and be ready to go to school
Find one value of x that is a solution to the equation:
(3x-2)^2-4=9x-6
Answer:
x = 2, x = 1/3
Step-by-step explanation:
(3x-2)^2-4=9x-6
9x^2-12x=9x-6
9x^2-12x+6=9x
9x^2-21x+6=0
(then solve with quadratic formula)
x = 2, x = 1/3
Help me with this pls
Answer:
D. 60=(x+45)
Step-by-step explanation:
They are the same degree so they should equal eachother
Answer:
The answer should be D) 60 = (x + 45)
Step-by-step explanation:
There were 460 people at a local football game. 3/5 of them were students how many people that attended the football game were students
Answer:
240
Step-by-step explanation:
I'll give brainliest and five stars if you help me!
What is the solution of the quadratic equation 2x2 + 5x – 1 = 0? Solve by using the quadratic formula.
a. 5+√17 / 4
b. -5+√33 / 4
c. 5+√33 / 4
d. -5+√17 / 4
Seven times the sum of a number and 3 is 9.
Answer: -1.71
7(x+3) = 9 is the equation
7x+21 = 9
7x = -12
x= -12/7
x= -1.71
ILL GIVE BRAINLIEST TO WHOEVER HELPS ME PLEASE I HAVE NO TIME BC ITS LITERALLY DUE TMRW
9514 1404 393
Explanation:
Part A.
1. You have provided an estimate of 600 minutes per month.
__
2. The cheapest plan is likely to be Plan 6 (Public Mobile), as it has no per-minute charge.
__
Part B.
1. Table 2.
See the first attachment for Table 2. For the chosen plan, there is no per-minute charge, so the monthly charge is the same for all numbers of minutes.
__
2. Rate of Change and Slope (m)
a) Adding a minute adds $0 to the cost
b) The rate of change (m) is 0/1 = 0 (dollars per minute)
__
3. Initial value (b)
a) The plan costs $24.00 when no minutes are used.
b) The initial value (b) is 24.
__
4. Equation of the line
a) Filling the found values of m and b into the equation of the line, we have ...
y = mx + b
y = 0x + 24
y = 24 . . . . . . simplified
__
Part C.
Table 3 can be found in the second attachment.
The b in each case is the value from the Monthly Cost column of Table 1.
The m in each case is the value from the Cost per minute column of Table 1.
The equation is found by copying the values of m and b into y = mx + b.
The number in the last column is found by multiplying the minutes (x) by m, then adding b. For example, your cost for Plan 5 (BELL) is ...
y = 0.10x + 10
y = (0.10)(600) +10 = 60 +10 = 70
If Jacob earns 20$ per month but spends 10$ every 2 weeks. How much money does Jacob earn in 1 year?
Answer:
he earns 170996695212345678910
The _________ is the appropriate measure to describe the spread.
Interquartile Range
Standard Deviation
Answer:
interquartile range
Step-by-step explanation:
Answer:
standard deviation
Step-by-step explanation:
There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride in one car, how many cars do they need?
Kelly recorded the distances she ran last week. The total numbers of miles she
ran on Monday and Tuesday is the same as the total number she ran Wednesday
through Friday
Answer:
whats the answer choises
Step-by-step explanation:
Answer: For what does x equal it is 5
Step-by-step explanation:
Second one is 9 miles
Evaluate the function for x = 2 and x = 6.
f(x) = -(x - 2)
need help like asap
Answer:
zero and negative four
I hope that's what you meant I don't know
Step-by-step explanation:
f(x) = -(x - 2)
=-(2-2)
=0
f(x) = -(x - 2)
=-(6-2)
=-4
How many edges does this shape have? 6 , 9 , 10 , 12
What is the answer to this
9514 1404 393
Answer:
(c) 5
Step-by-step explanation:
Put 4 where x is and do the arithmetic.
F(4) = 3·4 -7 = 12 -7
F(4) = 5
please help me
ZB
Round your answer to the nearest hundredth.
5
2
?
B
Which of the following ordered triples is the solution to the system of equations?
2 x-y-z= -1
3 x + y - Z= 2
x + y -5 z= -8
A(1,1,2)
B(2,3,-5)
C(4,2,-6)
D(5,0,-2)
A. all of the answers are correct when you plug in these values
The solution of the linear equations will be (1, 1, 2). Then the correct option is A.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equations are given below.
2x - y - z = -1 ...1
3x + y - z = 2 ...2
x + y - 5z = -8 ...3
Add equations 1 and 2, then we have
5x - 2z = 1 ...4
Add equations 1 and 3, then we have
3x - 6z = -9 ...5
From equations 4 and 5, then we have
15x - 3x = 12
12x = 12
x = 1
From equation 4, then we have
5(1) - 2z = 1
2z = 4
z = 2
From equation 1, then we have
2(1) - y - 2 = -1
y = 1
The solution of the linear equations will be (1, 1, 2). Then the correct option is A.
More about the solution of the equation link is given below.
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round the following to the nearest hundredth place 5.4976
Answer:
5.50
Step-by-step explanation:
the 7 tells the 9 to round up and that will make the 4 turn into a 5 so it would end up being 5.50
a dream club charges $150 for the first month of membership, and $5 less each month after that. what is the total membership for a year? for 2 years?
Answer:
1 year 1470
2 years 2220
Step-by-step explanation:
Try it, it correct
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest
Answer:
3/10
Step-by-step explanation:
2,3,5 are the primes on the spinner so P(prime) = 3/5
probability of 'not heads' means P(tails) which equals 1/2
multiply the two probabilities 3/5 · 1/2 = 3/10
what is the value of the y-coordinate of the solution to the system of equations x-2y=1 and x +4y=7
Plz help i don't know what X is
Answer:
1,920
Step-by-step explanation:
A=L x W
so we have to multiply each number
24*8=192
192*10=1,920
Find the range of the function y=7x-1 when the domain is {-1, 0, 1}
Answer: 1
Step-by-step explanation:
Solve the equation for p, then justify your reasoning. -9p - 17 = 10
Answer:
p=-17/9 or p=-1.8889
Step-by-step explanation:
-9p-17=10
add 17 to each side
-9p-17+17=10+17
-9p=17
divide both sides by -9
-9p/-9=17/-9
p=-17/9
or p=-1.8889
Solution of equation - 9p - 17 = 10 is p = -3.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given equation
- 9p - 17 = 10
Add 17 to both sides
- 9p - 17 + 17 = 10 + 17
Adding the numbers
- 9p = 10 + 17
Adding the numbers
- 9p = 27
Divide both sides by - 9
-9p/ - 9 = 27/ - 9
Cancel terms that are in both the numerator and denominator
p = 27/ - 9
Divide the numbers
p = -3
Hence, p = -3 is the solution for equation - 9p - 17 = 10
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a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.
Answer: -6<x<5
Step-by-step explanation:
Given
Length is 3 m more than three times the width
Suppose width is x
So, the length is 3x+3
The area of a rectangle is [tex]length\times width[/tex]
Area= [tex](3x+3)x<90[/tex]
[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]
Drag each label to the correct location on the table.
Find the areas of the figures.
triangle TUV
rectangle ABCD
rectangle PQRS
triangle EFG
Hey there! The answer to your problem is:
6 square units: rectangle PQRS, triangle TUV
8 square units: rectangle ABCD, triangle EFG
Answer:
what he said it right
Step-by-step explanation:
A pencil box contains different colored pens as listed below:
•5 green pens
• 3 blue pens
• 2 red pens
A pen will be randomly selected from the drawer. Then another pen will be randomly selected
from the drawer. What is the probability that a blue pen will be selected both times
Answer:
1/15
Step-by-step explanation:
Probability of 1st selection being blue = 3/10
Probability of 2nd selection being blue (if the 1st blue is not replaced) = 2/9
multiply: 3/10 x 2/9 = 1/15
At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
buys 3 sodas and 4 snacks and spends $15. Set up the system of equation
(Write both equations separated by a comma)
Answer:
the soda's are one$
and the snacks are three$
