Answers
Hi there!
[tex]\large\boxed{-40 + 20i}[/tex]
Recall the rules for the imaginary number "i":
i = √-1 i² = -1
Given:
(5i) (5i) + (5i) (4 + 3i)
Multiply:
(25i²) + 20i + 15i²
Simplify using the rule above:
25(-1) + 20i + 15(-1)
-25 + 20i - 15
-40 + 20i
a = -40
b = 20
Related Questions
80 divided by (6 + (3 - 5) X 2)
Answers
Answer:
40
Step-by-step explanation:
remember PEMDAS
our equation looks like tihs: [tex]\frac{80}{(6+(3-5)*2)}[/tex]
1. parentheses: in the denominator we have a parentese inside of another parenthese, so start with the inside first: (3-5) = -2.
so now our equation looks liek this [tex]\frac{80}{(6-2 *2)}[/tex]
now we have a mini PEMDAS situation within the parentheses: multiplication comes before addition/subtraction, so multiply -2*2 = -4, so now your equation looks like this: [tex]\frac{80}{(6-4)}[/tex]
6-4 =2: so now we're done with parentheses part of PEMDAS, the only thing left is dividing 80/2 which equals 40.
If the division expression 60÷5 represents 60 students being divided into five tables what would the quotient represent
Answers
The quotient (which is 12 apparently) would represent the no. of students sitting on one table.
Plz, Help me with this question plz!!!
Answers
How many 12 letter words can be formed using the letters in the word "tessellation"?
Answers
Answer:
479001600
Step-by-step explanation:
You will want to use 12!.
12*11*10*9*8*7*6*5*4*3*2*1=
479001600
If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:
Answers
Answer:
y = 2x – 2
Step-by-step explanation:
13 m
12 m
wall
ladder
The ladder, the ground, and the wall form a right triangle.
ground
How far away from the wall does the ladder need to be placed so that it reaches 12 meters up the wall? If needed, ROUND TO THE NEAREST TENTH.
A
17.7 meters
B.
25 meters
С
5 meters
D
313 meters
Answers
Answer:
The ladder needs to be placed at 5 m from the wall.
Step-by-step explanation:
Pythagoras's Theorem
Being a and b the legs of a right triangle and c its hypotenuse, then
[tex]c^2=a^2+b^2[/tex]
The image shows a ladder of length c=13 m as the hypotenuse of the right triangle formed by the height, the ladder, and the ground.
We are given the height up the wall as a=12 m.
We calculate the distance b solving it from the equation above:
[tex]b^2=c^2-a^2[/tex]
Substituting:
[tex]b^2=13^2-12^2[/tex]
Operating:
[tex]b^2=169-144[/tex]
[tex]b^2=25[/tex]
Taking the square root:
[tex]b=\sqrt{25}[/tex]
b = 5 m
The ladder needs to be placed at 5 m from the wall.
Alex squeezed 2 liters of juice for breakfast. If he pours the juice equally into 5 glasses, how many liters of juice will be in each glass? (Bonus: How many milliliters are in each glass?)
Answers
Answer:
0.4 liters of juice and 400 mL
Step-by-step explanation:
divide 2/5=0.4 and multiply 0.4x1000=400
help pls jqewkfhnoiwek
Answers
Step-by-step explanation:
5 hours I think bc if you add 2 1/2 with 2 1/2 you add 2 + 2=4 then 1/2+1/2=1 then add 1 and 4 and you get 5
I need help with step by step : (−4x to the power of -5 y)(x to the power of -7 y)
Answers
Answer:
(−4x to the power of -5 y) = 20xy
(x to the power of -7 y) = -7xy
Step-by-step explanation:
Hope this helped!
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answers
Answer: a. c = 30 + 45h
b. $322.50
Step-by-step explanation:
A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours.
This will be calculated as:
c = 30 + 45h
B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job?
Using the expression,
c = 30 + 45h
c = 30 + 45(6 1/2)
c = 30 + 292 1/2
c = 322.50
Therefore, Juan will pay $322.50
What is the difference between an expression and an equation? Use complete sentences and math vocabulary to explain!
Answers
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
write an equivalent expression by combining like terms (3/5y+4)+(1/5y-1)
Answers
You just add the like terms
What equation is equivalent to 2+3(2x+4)=13
Answers
Answer:
14+6x=13, or further 1+6x=0
Step-by-step explanation:
2+3(2x+4)=13,
Distribute the 3 into the parenthesis:
2+6x+12=13
Now combine like terms: 14+6x=13.
You can also write this as 1+6x=0 by subtracting 13 to the left, though it might not be necessary.
Thank u will put brainliest
Answers
Answer:
c
so sorry if wrong
Step-by-step explanation:
Answer:
3 5/8 inches or c or third bubble
CAN SOMEONE PLEASE HELP ME THIS IS DUE TODAY AND IT CONTS A LOT ON MY GRADE
Answers
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
second anwser choice plus i love nicki
*Details below*
Hello. I am doing customer service right now. You can sign up if you want to. the service is for finding people on Brainly to talk to them.
Answers
Answer: what's the question exactly...?
Step-by-step explanation:
Answer:
quoi pourquoi
Step-by-step explanation:
whoever answers correctly will recive a brainleist and 10 pts please asap ! :)
Answers
Answer:
y = -1/2x - 2
Step-by-step explanation:
The line is negative, so the slope has to be negative. (-1/2)
You would use the equation to find the first point to plot. -1/2 times 0 is 0. 0-2 equals -2. This means that the first point would be (0,-2). This proves that the correct equation is y = -1/2x - 2.
HELP DUE SOON!!!Elise says, "If you subtract 14 from my number and multiply the difference by - 4, the result is
- 100." What is Elise's number?
Elise's number is
Answers
Answer:
39
Step-by-step explanation:
If you subtract 14 from my number and multiply the difference by -4, you should get -100.
You need to setup the equation that is being given to you.
Subtract 14 from my number.
x - 14
Multiply the difference by -4
(x-14) * -4
You should get -100.
(x-14) * -4 = -100
Solve for x
(Elise's number is X, the missing number).
[tex]-4(x-14) = -100\\-4x+56 = -100\\-4x=-156\\x=39[/tex]
Elise's number is 39.
Point K lies at (-3, 4). Point K is reflected over the y-axis and then translated 7 units down to produce K. Which rule could have been used to produce k from K
Kx.y) - K*x.y -7)
Kx.y) - K(-X.y - 7)
Kx.y) K'k,-y -7)
Klx.y)- K'(-X -7. -y-7)
Answers
Answer:b
Step-by-step explanation:
Mr. Jones paid $39.24 for 3.6 pounds of steaks to grill at his family BBQ. What was the price per pound of the steaks?
Answers
Answer:
10.9
Step-by-step explanation:
Answer:
The price per pound of steak is $10.9 or, if you need to round it, the answer would be $11.
Step-by-step explanation:
I took 39.24 divided by 3.6
What is the slope of the line 4y = 8x+ 3 ?
Answers
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]4y=8x+3[/tex]
To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.
Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:
[tex]y=2x+\frac{3}{4}[/tex]
[tex]m=2[/tex]
Therefore, the slope of the line is 2.
-
You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.
An oil company fill 1/10 of a tank in 1/5 hour. At this rate which expression can be used to determine how long it will take for the tank to fill completely?
1/5 x 10 hours
1/10 x 5 hours
1/5 x 1/10 hour
5 x 10 hours
Answers
Answer to this is apparently
y=10(3.16)^x
Please show the work and I will give u the brainliest:))
Answers
Answer:
[tex]y=10(3.16)^x[/tex]
Step-by-step explanation:
Given equation is,
log(y) = 0.5x + 1
We can rewrite this equation as,
[tex]\text{log}_{10}(y)=0.5x+1[/tex]
y = [tex]10^{(0.5x+1)}[/tex]
[If [tex]\text{log}_a(b)=c[/tex], then [tex]b = a^{c}[/tex]]
y = [tex]10(10)^{0.5x}[/tex]
y = [tex]10[(10)^{0.5}]^x[/tex]
y = [tex]10(3.16)^x[/tex] [Since, [tex]10^{0.5}=3.16[/tex]]
Therefore, [tex]y=10(3.16)^x[/tex] will be the answer.
pahelp badly needed!!!!
Answers
Answer:
Step-by-step explanation:
1. 2x - 28
2. 6x3 - 4x2 + 2x
3. x2 + 7x + 12
4. m2 - 4mn + 21n2
5. x2 - 9x + 18
Triangle LMN is plotted on a coordinate plane. It is then dilated by a factor of 2 using the origin as the center of dilation, and translated 5 units left and 3 units up.
How is this sequence of transformations written in coordinate notation to correctly map triangle LMN to its image, triangle L'M'N' ?
A. ( x , y )→(2 x + 3, 2 y - 5)
B. ( x , y )→(2 x - 5, 2 y + 3)
C. ( x , y )→(2 x + 5, 2 y + 3)
D. ( x , y )→(2 x + 3, 2 y + 5)
Answers
Answer:
B. ( x , y )→(2 x - 5, 2 y + 3)
Step-by-step explanation:
when x goes to the left it is negative and when y goes up it is positive, making B the only possible answer choice.
Estimate using mental math: 32.4970 – 4.02 what is the answer
Answers
Answer:
The estimated answer would be 8
Step-by-step explanation:
When you divide 32 by 4 the answer is 8 and so using mental math you can estimate the answer to be 8 or somewhere around it
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)
y > one half x + 2
The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.
Answers
Answer:
The origin is not included in the shaded region and the shaded area is above the line.Step-by-step explanation:
The first option is correct one:
The origin is not included in the shaded region and the shaded area is above the line.The shade region is above the line because the function is increasing, and the origin is not included because the y- intercept is positive number
See attached
what is the meaning of the point with an x coordinate of 2
Answers
Hope that helps!
Carl is making accessories for the soccer team. He uses 666.96 inches of fabric on headbands for 39 players and 3 coaches. He also uses 333.06 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
The amount of fabric was used on :
a) headband for each player = 15.88 inches of fabric
b) wristband for each player = 8.54 inches of fabric
Step-by-step explanation:
From the above question, we were told:
For headbands
Carl is making accessories for the soccer team. He uses 666.96 inches of fabric on headbands for 39 players and 3 coaches.
Total number of persons = 39 players + 3 coaches = 42 persons
42 persons = 666.96 inches
1 person = x
Cross Y
42x = 666.96 inches
x = 666.96 inches/42
x = 15.88 inches
For wristbands
He also uses 333.06 inches of fabric on wristbands for just the players.
We have 39 players
Hence:
39 players = 333.06 inches
1 players = x
Cross Multiply
39x = 1 × 333.06 inches
x = 333.06 inches/3
x = 8.54 inches
The amount of fabric was used on :
a) headband for each player = 15.88 inches of fabric
b) wristband for each player = 8.54 inches of fabric
Please help I’ll give you brain lists points and likes
Answers
Answer:I would say D
Step-by-step explanation: weak means the less right so D
