Answer:
We want to solve the equation:
(6 - 1) + (3m)i = -12 + 27i
Where m is a complex number.
first, we can rewrite this as:
5 + 3*m*i = -12 + 27*i
3*m*i = -12 - 5 + 27*i
3*m*i = -17 + 27*i
And we can write m as:
m = a + b*i
Replacing that in the above equation we get:
3*(a + b*i)*i = -17 + 27*i
3*a*i + 3*b*i^2 = -17 + 27*i
and we know that i^2 = -1
3*a*i - 3*b = -17 + 27*i
The real part in the left (-3*b) must be equal to the real part in the right (-17)
then:
-3*b = -17
b = -17/-3 = 17/3
And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)
then:
3*a = 27
a = 27/3.
Then the value of m is:
m = a + b*i = (27/3) + (17/3)*i
If the edges of a cube are doubled in length to produce a new, larger cube, then the
larger cube's surface area is how many times larger than the smaller cube's surface
area?
take x as the side of the cube.
surface area = 6a^2
= 6x^2
take 2x as the next cube
surface area = 6(2x)^2
= 6 x 4 x x^2
= 24x^2
cube two is 4 times more than cube 1 in surface area wise.
HOPW THIS HELPS AND PLEASE MARK ME AS BRAINLIEST.
12. A coin collector has 85 coins in dimes and
quarters with a total value of $16.15. How
many of each type of coin does she have?
A. 25 dimes, 60 quarters
B. 34 dimes, 51 quarters
C. 42 dimes, 43 quarters
D. 60 dimes, 25 quarters
Answer:
c
Step-by-step explanation:
a. 25 x 10 = 250, 60 x 25 = 1500, 250 + 1500 = 1750 = $17.50
a. no
b. 34 x 10 = 340, 51 x 25 = 1275, 1275 + 340 = 1615 = $16.15
b. yes
c. 42 x 10 = 420, 43 x 25= 1075, 1075 + 420 = 1495 = $ 14.95
c. no
d. 60 x 10 = 600, 25 x 25 = 625, 625 + 600 = 1225 = $12.25
d. no
140% of what number is 98
It appears that the answer is my fat coeck
HEEEEEEEEEEEELP Solve the system of equations using the substitution method. Make sure to check your solution. y = 3x + 2 -4x + 4y = 16 In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2. x-coordinate: y-coordinate:
Answer:
y=3x+2
-4x+4y=16
-4x+4(3x+2)=16
-4x+12x+8=16
8x=16-8
8x=8
x=8/8
x=1
y=3x+2
y=3(1)+2
y=3+2
y=5, x=1
Please help it’s called Writing Equations
Answer:
1. A.)4 - 4n = 14
2. C.) 42 * 3 = B
Step-by-step explanation:
1. Four less than : 4 -
Four times a number : 4 × n = 4n
(let n represents the number)
Equals 14 : = 14
= 4 - 4n = 14
2. Each person paid : $42
Keith, Alyssa, and Sara : 3
The bill : let B represent bill
= $46 * 3 = B
I hope this helps!
Simplify the following expression:
5a2 + 3b - 4 - 9a2 + 6
Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?
b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?
Answer:
A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.
B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.
C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.
Solve this math problem plz. :) I need full explanation. I'm struggling.
Answer:
12.5 Km / hour
Step-by-step explanation:
Average speed (s) is calculated as
s = [tex]\frac{distance}{time}[/tex]
distance covered is 50 Km and time taken is 4 hours, then
s = [tex]\frac{50}{4}[/tex] = 12.5 Km/ hour
Write the expression in standard form. 28m ÷ 7m
Nothing further can be done with this.
28m / 7m
Hope this helps :)
2 lb of grass seed will cover 50 square feet of a yard how many square feet will 5 lb of grass seed cover
Answer:
125 square feet of a yard.
Step-by-step explanation:
So 1 lb of grass seed will fill 25 square feet of yard. Multiply 25 by 5 and get 125.
please help me ill give brainliest
Answer:
Ok so I think it might be multiplying or dividing
Step-by-step explanation:
My answer for multiplying is 6,732
My answer for dividing is 46.33333
Answer:
Step-by-step explanation:
There are 561 people.
When you divide by 12 you get 46 complete tables of 12
There are 9 people left over.
You can't round down. You must round up. These 9 people get a table all to themselves.
So you need 47 tables.
Can someone please help me anyoneeeee
Answer:
(8, 0)
Step-by-step explanation:
TAKE NOTE: In a glide reflection, you always start w/ the second transformation.
STEP 1: (2, 7) affected by the reflectionRULE (in this case): (x, y) --> (y, x)
(2, 7) => (7, 2)
STEP 2: (7, 2) affected by the translationRULE: (x, y) --> (x + horizontal shift, y + vertical shift)
(7, 2) => (7+1, 2-2) or (8, 0)
You can check your answer by doing this the opposite way.
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!]
Which graph represents a function?
Answer:
b
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
vertical line test
The temperature is changing at a constant rate of –0.75ºC per half hour. At 6:45 PM, the temperature was –4.6ºC. At what time was the temperature –2.1ºC?Be sure to include AM or PM in your answer.
Answer:
11:15PM
Step-by-step explanation:
The difference between 4.6°C and -2.1°C is 6.7
0.75×?=6.7
?=9
This is 9 half hours, which is equal to 4 1/2 hours.
Hope it helped! Please give brainliest, thank me and rate it 5 please. :)
The time at which the temperature was -2.1°C is 5:05 PM
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The temperature is changing at a constant rate of = -0.75° C every half hour
So ,
30 min = -0.75° C
Divide by 3 on both sides , we get
10 min = -0.25°C
So , temperature is changing at a constant rate of = -0.25° C every 10 minutes
Now , the temperature at 6:45 PM = -4.6°C
So ,
The temperature at 6:15 PM = -4.6 + 0.75
= -3.85°C
The temperature at 5:45 PM = -3.85 + 0.75
= -3.1°C
The temperature at 5:15 PM = -3.1 + 0.75
= -2.35°C
Now , for it to be -0.25°C , the time elapsed will be 10 minutes
So ,
The temperature at 5:05 PM = -2.35°C + 0.25°C
= -2.1°C
Hence , the time at which the temperature was -2.1°C is 5:05 PM
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Jackson has $300 and spends $42. What percent of his money is spent?
what is BC - b + c when b equals 8 and C equals 5
Answer:
37
Step-by-step explanation:
This simply requires plugging in the numbers-
bc - b + c = ?
(8)(5) - 8 + 5 = ?
Then solve-
40 - 8 + 5 = ?
32 + 5 = 37
Therefore-
bc - b + c = 37
10) How old am lif 300 reduced by 2 times my age is 106?
11) Callie was making note cards. On her way to her room she found
six more note cards to use. In her room she cut each note card in
half. When she was done she had 46 half-note cards. With how
many note cards did she start?
12) Gracy spent half of her weekly allowance on clothes. To earn
more money her parents let her wash the dog for $14.08. What is
her weekly allowance if she ended with $23.42?
Answer:
150, 23 cards
Step-by-step explanation:
Change 4% at a decimal
Answer:
.04
Step-by-step explanation:
A generation ago, the graduating class at Centerville High School was 160 students. This year, it is 40% larger. What is the current size of the graduating class?
Answer:
220 Students
Step-by-step explanation:
First find 40% of 160, which is 60. Add those 60 students to the previous generations class and you get the current size of the graduating class, 220 Students.
C.E.R.
INSTRUCTIONS:
Given that AD II FJ. Use the diagram of a staircase railing to find the value of n. (Think parallel lines cut by a transversal)
then, What is your EVIDENCE? Show all of your work here.
LASTLY, Reasoning-Explain your work, tell me in words why you did the math this way.
CAN SOMEBODY PLZ HELP
Answer:
n = 35Step-by-step explanation:
AD║FJ and CH is transversal
∡BCH and ∡CHJ are alternate interior angles
m∡BCH = m∡BCG + m∡GCH = 82° + 30° = 112°Alternate interior angles are congruent:
m∡BCH = m∡CHJ3n + 7 = 1123n = 105n=105/3n = 35Help me solve the question in the picture (pls show working)
Answer:
92.75 cm²
Step-by-step explanation:
area of polygon = area of ∆EDA + area of ∆ADC +area of ∆ACB.
area of triangles is ½×base×height.
area of ∆EDA=½×EF×AD
=½×4.5×12
=27 cm². -------->(1)
area of ∆ADC=½×AD×DC
=½×12×5
=30 cm². --------->(2)
area of ∆ACB=½×AC×BG
=½×AC×5.5
from pythagorean theorem
(AC)²=(AD)²+(CD)²
= 25+144
= 169 cm then. AC= 13 cm
then area of ∆ACB=½×5.5×13
=35.75 cm² ---------->(3)
from equation (1), (2) and (3):
then the area of polygon = 27 + 30 + 35.75
=92.75 cm²
Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why
Answer:
Square.
Step-by-step explanation:
a). Properties of a square → 1). All sides are equal in measure
2). All interior angles are equal and measure 90°
3). Diagonals are perpendicular and equal in
measure.
Therefore, by third property, its a square because diagonals are perpendicular and congruent.
1 1/2 + 3 2/3 + 1 7/9
Answer:
125/18
Step-by-step explanation:
1 1/2+ 3 2/3+ 1 7/9 =125/18
Answer: 125/18
Step-by-step explanation:
Subtract
- 3x 8 from 4x2 – 7x – 2.
-2 • (4x2from4 + 5x + 1)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(2): Dot was discarded near "2.".
STEP
1
:
Equation at the end of step 1
((-3x - (23from4 • x2)) - 7x) - 2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-8x2from4 - 10x - 2 = -2 • (4x2from4 + 5x + 1)
Trying to factor a multi variable polynomial :
3.2 Factoring 4x2from4 + 5x + 1
A paper publisher in a medical journal reported that about 11/25 of girls ages 16 to 17 did not exercise at all. The entire study consisted of about 2,500 girls. About how many did not exercise?
Answer:
1400
Step-by-step explanation:
the number of girls aged 16 - 17 that do not exercise = 11/25 x 2500 = 1100
The total number of girls that do not exercise = 2500 - 1100 = 1400
If you have a hypotenuse that measures 13 inches, what do the side lengths need to be to create a right
triangle?
13 inches and 1 inch
12 inches and 10 inchas
12 inches and 5 inches
6 inches and 5 inches
Answer:
12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.
Find the missing angle measure
Answer:
what is the missing angle measure pls attach a pic if you do so I can help you
enjoy your day
#Captainpower:)
John Brought 75 shares of HCC stock and 150 Shares
of BWB stock. Last year HCC paid a dividend of $285 per share
and Bwb paid a dividend of $2.0t per share. What was the total
dividend that John Received ?
what is h(-2)=-2x+9 ??????
Answer:
13
Step-by-step explanation:
For this type of question it is giving you a function and it is giving you the x value. all you have to do is plug in x which is -2. -2 x -2 is 4. 4 + 9 is 13.
HOPE THIS HELPS!! (:
Step-by-step explanation:
h(-2)=-2x+9
h(-2)=-2×(-2)+9
h(-2)=4+9
h(-2)=13
=13
Please help ASAP ASAP please if you don’t know don’t answer just to get points please *
Answer: CB = 7. AC = 5.
Step-by-step explanation:
Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.
Now AC.
You divide 45 degrees by 7. And you get five.
So AC = 5 and CB = 7.
Answer:
AC= 7√6/2
CB=7√2/2
Step-by-step explanation:
i posted with answers in the photo
put 73.5 in √ it gives u 7√6/2