If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The equation is given below.
7a + (3a - b)i = 14 - 6i
Compare the real part of the equation, then we have
7a = 14
a = 14 / 7
a = 2
Compare the imaginary part of the equation, then we have
3a - b = - 6
3 x 2 - b = -6
6 - b = - 6
b = 6 + 6
b = 12
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
More about the complex number link is given below.
https://brainly.com/question/10251853
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Light bulbs cost £2.90 each.
Yasmin buys as many as she can with £20.
How much change should she get?
Answer:
$2.60
Step-by-step explanation:
first you need to see how many time 2.90 goes into 20 it is 6, so then you multiply 2.90 times 6 and get 17.40. Lastly you subtract 17.40 from 20 to get 2.60
Hope this helps
Answer:
$2.60
Step-by-step explanation:
Are the events "choosing a black card" from a deck of playing cards and
"choosing a 10" mutually exclusive? Explain why or why not.
Answer:
yes
Step-by-step explanation:
just yes
Answer:
No
Step-by-step explanation:
There are two black 10’s
What is the distance between point A(-2,-1) and point B (3,2)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]d = \sqrt{ ({2 - ( - 1)})^{2} + ({3 - ( - 2)})^{2} } \\ [/tex]
[tex]d = \sqrt{ {3}^{2} + {5}^{2} } [/tex]
[tex]d = \sqrt{9 + 25} [/tex]
[tex]d = \sqrt{34} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
√34
Step-by-step explanation:
A(-2 , -1) B(3 , 2)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(3-[-2])^{2}+(2-[-1])^{2}} \\\\=\sqrt{(3+2)^{2}+(2+1)^{2}}\\\\=\sqrt{5^{2}+3^{2}}\\\\=\sqrt{25+9}\\\\=\sqrt{34}[/tex]
Please help I don't understand this
Answer:
First equation: No solution
Second Equation: One solution
Third equation: Infinitely many solutions
Step-by-step explanation:
Hope this helped, Have a Great Day!!
State the solution(s)
x²+12x+32=0
math picture help me
Answer:
D
Step-by-step explanation:
What type of number cannot be written as a fraction p/q , where p and q are integers and q is not equal to zero
9514 1404 393
Answer:
irrational
Step-by-step explanation:
A number that can be written as the ratio of two integers is called a "rational" number. If it cannot be written that way, it is called an "irrational" number
Irrational numbers cannot be written as a fraction of p/q.
Rational numbers can be written as a fraction of p/q.
Determine whether the graph represents a proportional relationship. (4 points) A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels. Group of answer choices Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin
Answer:
No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
I belive the is the answer, I took this quiz as well. The line is straight but it does not go throught the origan.
NEED ASAP
Which value is the solution for the equation tanx/2=1
pi/2
pi/4
3pi/4
3pi/2
Answer:
a ) π/2, 4π/3, 3π/2. 5π/3.
Step-by-step explanation:
2 sin t cos t + √3 cos t = 0
cos t ( 2 sin t + √3 ) = 0
Therefore:
cos t = 0, t 1 = π/2, t 2 = 3 π/2
or:
2 sin t + √3 = 0
2 sin t = - √3
sin t = - √3 / 2
t 3 = 4 π/3, t 4 = 5 π/3
Answer:
I think its the first option
4.28 divide by 7 equals ?
Answer:
0.611428571
Step-by-step explanation:
[tex]4.28 \div 7 \\ \\ = \frac{4.28}{7} \\ \\ = 0.611428571 \\ [/tex]
Find the value of expression a^5−a^2+a^3 for a=−2.
Answer:
-44
Step-by-step explanation:
first take -2 to the fifth power (-32) , after that take -2 to the second power (4) and then take -2 to the third power (-8). Subtract -32 and 4, then add -8 and you get your answer.
Your realized income from your primary job is $2,034.24/month. Your fixed expenses are 30% of your primary job’s realized income. You have a second job that pays $9.50/hr with deductions of FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.75%). If you want to save enough in the next 10 months to have an emergency fund that will cover 5 months using only 20% of your discretionaries from your primary job, how many hours per month do you need to work at your second job to meet your monthly savings goal?
Answer:
Step-by-step explanation:50.98%
Answer:
3
Step-by-step explanation:
i just took it lol
This is just a made up question I made.
6(2 + 9) - 11
Answer:
55
Step-by-step explanation:
2+9=11x6=66-11=55
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52.
.Item. .Price Per Pound.
.Fruit Chews. - $4.70
.Jelly Beans. - $2.35
.Chocolate. - $3.50
.If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answer : 11.80$
Step-by-step explanation:
He spends 8.70$ on Fruit chews and..
4.50 $ on jelly beans
add them up then subtract them by the amount of money he already has
BRAINLIST ???
Answer:
He had 10.85 left
Step-by-step explanation:
Fruit chews 4.7 x 1.6 = 7.52
Jelly beans 2.35 x 2.6 = 6.11
7.52 + 6.11 + 0.52 = 14.15
25 - 14.15 = 10.85
Help please urgent thanks
Answer:
The answer is 2/10 and 2/10
(A)
If 300 cones were sold, how many were chocolate?
Answer:
90
Step-by-step explanation:
1. Define y-intercept of a line?
2. In the slope intercept form: y=mx+b, what do the variables x, y, m, b stand for?
3. Define Slope of a line. Define Rise and Run. What are the four types of slope?
1. The y-intercept of a line is on a graph where a line crosses through the y axis.
2. b is the y- intercept and m is the slope. For example something using y=mx+b could be written like y=3x+2 if the y-intercept is 2 and the slope is 3.
3. The slope is what describes the direction and steepness of a line on a graph. Rise and run mean that when you find a slope you must first find the rise over run. You must go from one dot on a graph to the next by first going up or down to where that you are on the same number on the y axis that the next point is, next go on the x axis and go left or right until you have reached the next point. For example if you went up 3 and over 2, the rise would be 3 and the run would be 2. The slope in that situation would be 3/2.
Hope this helps you.
Do the steps below on the graphing calculator:
Graph the points (2,6) and (6,8).
Define the equation y = mx + b.
Define the variable m = 1.
Define the variable b = 10.
What happens if you increase the value of m from 1 to 2?
✔ The line gets steeper.
Find the values of m and b that cause the graph to pass through the two points plotted.
m = ✔ 0.5
b = ✔ 5
Help me please please
Step-by-step explanation:
hold on
What is 2.685 rounded to the near tenth
Answer:
2.7
Step-by-step explanation:
To round 2.685 to the nearest tenth consider the hundredths’ value of 2.685, which is 8 and equal or more than 5. Therefore, the tenths value of 2.685 increases by 1 to 7.
6. Solve the problem. A carousel has a radius of 18 feet and takes 31
seconds to make one complete revolution. What is the linear speed of
the carousel at its outside edge? Express the answer in feet per second.
If necessary, round the answer to two decimal places.
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
[tex]v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s[/tex]
So, the linear speed of the carousel is 3.64 ft/s.
HELP PLEASE!! NUMBER ONE OR TWO PLEASE!
JUST SHOW ME HOW TO DO IT! THANK YOU BUNCHES!xoxo
Answer:
Step-by-step explanation:
1. 6, ?, ?, ?,102
a0 =6
a1=?
a2=?
a3=?
a4=102
an= a0+n*d
a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24
d=24
a1 = 6+24=30
a2 =30+24=54
a3 =54+24=78
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the varlable h to represent the number of hours.
Answer: its 20.5 i think i hope its right
Step-by-step explanation:
Answer: The equation is: 11+5.75h=19+4.5h The total cost of the services will be equal at 6.4 hours
Step-by-step explanation:
11 + 5.75h = 19 + 4.5h
-11 from both sides
5.75h = 8 + 4.5h
-4.5h from both sides
1.25h = 8
8 / 1.25 = 6.4,
Therefore, h=6.4
Help me please also put in the comments how to mark you brainilest if you get it correct
Answer:
4: 60
5: 96
Step-by-step explanation:
6 times 10
8 times 12
Answer:
4 is 60
5 is 96
Step-by-step explanation:
A particular computer takes 11 minutes to download a 33-minute TV show. How long will it take the computer to download a 2-hour movie?
It will take the computer minutes to download a 2-hour movie.
(Type an integer or a decimal.)
Answer:
i got 42 minutes
Step-by-step explanation:
Answer:
40 Minutes
Step-by-step explanation:
1 Min In real life= 3 Minutes in downloaded movie
10 Min in real life= 30 Minutes in downloaded movie
20 Min in real life= 60 Minutes in downloaded movie
30 Min in real life= 90 Minutes in downloaded movie
40 Min in real life= 120 Minutes in downloaded movie
Hopefully that helps! Also can I get Brainliest
What is 350,000 as a whole number and a power of ten
Answer:
350,000 add ten more zeros
Step-by-step explanation:
350,000¹⁰ 350,000 000,0000
Ms. Sacksteader owns a grocery store. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags containing 10 pounds each and puts the rest in 5-pound bags. Her family will eat any of the leftover potatoes. Ms. Sacksteader wants to know how many 5-pound bags of potatoes she can sell. How much money will ms. Sacksteader make fir the 5 lb bags
Answer:
b
Step-by-step explanation:
a line has a slope of 2 and passes through the point (5,2)
Answer:
Step-by-step explanation:
Given
A line has a slope = 2
point = (5,2)
Solution
y-y1=m (x-x1)
Where y1=2,X1=5,m=2
y-2=2(x-5)
Y-2=2x-10
2x-y=-8
Equation of the line is 2x-y=-8
Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below.
Find the coefficient of variation for each of the two sets of data, then compare the variation.
Bank A (single line): 6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8Bank B (individual lines): 4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7(Round to one decimal place as needed.)
Answer:
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
Step-by-step explanation:
Bank A
6.6, 6.7, 6.7, 6.8, 7.0, 7.3, 7.5, 7.7, 7.8, 7.8
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{6.6+6.7+6.7+6.8+7.0+7.3+7.5+7.7+7.8+ 7.8}{10}\\Mean =7.19[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=0.461[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{0.461}{7.19} \times 100=6.4[/tex]
Bank B
4.0, 5.5, 5.8, 6.2, 6.6, 7.6, 7.7, 8.5, 9.4, 9.7
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{4.0+5.5+5.8+6.2+6.6+ 7.6+ 7.7+8.5+9.4+9.7}{10}\\Mean =7.1[/tex]
Standard deviation =[tex]\sqrt{ \frac{\sum(x-\bar{x})^2}{n}}=1.718[/tex]
[tex]CV = \frac{\sigma}{\bar{x}} \times 100\\CV = \frac{1.718}{7.1} \times 100=24.2[/tex]
CV of Bank A = 6.4
CV of Bank B = 7.1
CV of Bank B is more than CV of Bank A
4t^2-6 when t is 3
Math question
Answer:
30
Step-by-step explanation:
4t^2-6 when t is 3
Since we know t=3, we can substitute that in
4(3^2) - 6
Simplify.
3^2 = 9
= 4(9) - 6
= 36 - 6
= 30