The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i
How to simplify the complex expressionFrom the question, we have the following parameters that can be used in our computation:
(i-3) +6i-3(8 - i)
Express properly
So, we have
(i - 3) + 6i - 3(8 - i)
When the brackets are opened, we have
(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i
Collect the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = - 3 - 24 + i + 6i + 3i
Evaluate the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = -27 + 10i
Hence, the complex expression when simplified is -27 + 10i
Read more about expression at
https://brainly.com/question/28792378
#SPJ1
Whats 6 1/2 - 5 5/6 plz help thx
Answer:
2/3
Step-by-step explanation:
1/2 = 3/6
6 - 5 = 1
1 3/6 - 5/6 = 4/6
4/6 = 2/3
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
Answer is -1.666
Step-by-step explanation:
6*1/2=3
5*5/6=4.1666
A right rectangular prism has a length of 6 centimeters, a width of 7 centimeters, and a height of 5 centimeters.
What is the volume of the prism?
____cm3
a) 214
b) 197
c) 210
CORRECT ANSWER= BRAINLY!!
Answer: c is the answer
Step-by-step explanation: the formuals for volume is length x width x height, 6x7x5, which is 210
Answer: C
Step-by-step explanation: Easy, just do length x width x height(l x w h). So, 6x7x5 = 210
PLEASE HELP ITS DONE IN 16 HOURSSS!!!
question: A substance with 12 negatively charged atoms combined with a substance that has 10 positively charge atoms. What is the total charge of the substance when the atoms are combined?
answer options:
+22
-22
+2
-2
The mean of five numbers is 4.
The five numbers are 1, 3,5,2 and x.
Find x.
Answer:
9
Step-by-step explanation:
In Order to gain the mean you would follow the formula:
Total Sum of all Numbers added together / Amount of integers.
In this case, you have 5 numbers 1, 3 , 5 , 2 , x .
I know that the overall sum of all your integers added together must equal 20, as 20 / 5 = 4.
1 + 3 + 5 + 2 = 11.
Therefore x must be 9.
1 + 3 + 5 + 2 + 9 = 20
20 / 5 = 4.
Hope this helps and mark as brainilest if found useful.
PLEASE HELP! What is the mean of the data represented by this normal distribution?
which of the following statements is true?
Answer:
i think its b
Step-by-step explanation:
Answer:
jjjjjk
Step-by-step explanation:
what is the value of the 1 in 56.123
Answer:
The value of 1 is tens =) i hope i help u
Can someone help me plz
njjjwer:
jajajajaj
Step-by-step explanation:
yesThe graph shows a proportional relationship. Which equation matches the graph?
A. y = 1/5x
B. y = x
C. y = 15x
D. y = 5x
Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) A = 79°, b = 77, c = 43
Answer:
1549.5
Step-by-step explanation:
Hello There!
Heron's area formula is
[tex]A=\frac{(a)(b)sin(c)}{2}[/tex]
all we have to do is plug in the values
so
[tex]A=\frac{77*41sin79}{2} \\77*41=3157\\3157sin79=3098.997018\\\frac{3098.997018}{2} =1549.498509[/tex]
so the area of the triangle is 1549.498509
our final step is to round to the nearest hundredth
the answer would be 1549.5
Answer:
1610.289units²
Step-by-step explanation:
a=79
b=77
c=43
s=(79+77+43)/2=99.5
by using heron's formula
area of triangle=√{s(s-a)(s-b)(s-c)}
=√{99.5(99.5-79)(99.5-77)(99.5-43)} =1610.289units²
The sum of a number and six times its reciprocal is 10. Find the number
Answer:
two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]
Step-by-step explanation:
x + 6 ( 1/x ) = 10
x^2 + 6 = 10x
x^2 - 10x + 6 = 0
x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]
what's the fourth proportional of 0.2, 0.5, 6
Answer:
15
Step-by-step explanation:
a:b::c:d
a/b=c/d .......(eq 1)
let a=0.2, b=0.5, c=6, d=x
Not put values in eq 1
0.2/0.5 = 6/a
By cross multiplication we get:
0.2xa = 6x0.5
0.2a = 3
Dividing by 0.2 on both sides we get
0.2a/0.2 = 3/0.2
a = 15
Therefore The fourth proportional is 15
Simplify.
4a(6) + 3a
24 a2 + 3 a
13 a
27 a
27 a2
Answer:
24a + 3a
27a
we didn't multiply a since it is addition so it can not be a²
please give brainiest
Answer:
27a
Step-by-step explanation:
Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)
Question 1 ( point) A 64g sample of Germanium-66 is left undisturbed for 12.5 hours. At the end of that period, only 2.0g remain. How many half-lives transpired during this time period? half-lives Answer = Blank 1:
Answer:
2.5 half-lives
Step-by-step explanation:
Find [tex]t_{h}[/tex] in [tex]N(t)=N_{0}e^{-kt}[/tex] given [tex]N(t) = 2, N_{0} =64,t=\frac{25}{2}[/tex]
[tex]N(t)[/tex] is the amount after the time [tex]t[/tex], [tex]N_0[/tex] `is the initial amount, [tex]t_{h}[/tex] is the half-life
We know that after half-life there will be twice less the initial quantity:
[tex]N(t_{h})=\frac{N_{0} }{2}=N_{0}e^{kt_{h} }[/tex].
Simplifying gives [tex]\frac{1}{2} =e^{-kt_h} or k = -\frac{In(\frac{1}{2}) }{t_{h} } .[/tex]
Plugging this into the initial equation, we obtain that [tex]N(t)=N_{0}e^\frac{In(\frac{1}{2}) }{t_{h} }[/tex]or [tex]N(t)= N_{0} (\frac{1}{2})^\frac{t}{t_h}.[/tex]
Finally, just plug in the given values and find the unknown one.
From [tex]2=64(\frac{1}{2})^\frac{\frac{25}{2} }{t_h}[/tex], we have that [tex]t_h[/tex] = [tex]\frac{25 In (2)}{2 In (32)\\}[/tex]
So you should get: [tex]t_{h} =\frac{25 In (2)}{2 In (32)\\}=2.5.[/tex]
MARK ME AS BRAINLIEST IF YOU WISHThe number of half-lives that transpired during this time period is equal to 2.5 hours.
Given the following data:
Time = 12.5 hours.
Initial mass = 64 grams.
Remaining mass = 2.0 grams.
How to determine the number of half-lives.Mathematically, the amount of a radiocative element that is remaining after time (t-hours) is given by this formula:
[tex]ln(\frac{A}{A_0} )=ln(\frac{1}{2} )\frac{t}{H}[/tex]
Where:
A is the amount remaining.Ao is the initial amount.H is the half-life.t is the time.Substituting the given parameters into the formula, we have;
ln(2/64) = ln(1/2) × 12.5/H
-3.466 = -0.693 × 12.5/H
H = 12.5 × -0.693/-3.466
H = 12.5 × 0.1999
H = 2.5 hours.
Read more on half-life here: https://brainly.com/question/25750315
ooooooooooook
hihihih
Answer:
hi how r u today my stranger
Answer:
D-Dipper/////
Step-by-step explanation:
helppppppp pleaseeee
Answer:
A
Step-by-step explanation:
2.5 x 3.4 = 8.5
Is this right? Help?
Answer:
That is wrong bc it says quotient and quotient means a division sign which i dont see on your answer,
Step-by-step explanation:
The correct answer should be...
3/2x
Im srry if wrong (and the "/" means division)
If f(x) = 3x – 4 and g(x) = x, find the value of f(3) – g(2).
Answer:
3
Step-by-step explanation:
f(3) = 3(3)-4
f(3)= 9-4
f(3) = 5
g(2) = (2)
g(2) = 2
f(3)-g(2) = ?
(5) - (2) = ?
(5) - (2) = 3
I NEED HELP ASAP!!<3
Graph the following piecewise function.
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.
Answer:
Answer as a fraction: 4/15
Answer as a decimal: 0.267
The decimal version is approximate rounded to three decimal places.
Step-by-step explanation:
6 apples, 4 peaches
6+4 = 10 pieces of fruit total
The probability of picking an apple is 6/10 = 3/5
After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.
Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15
Using a calculator, 4/15 = 0.267 approximately.
Help! I need help with finding the value of x.
Answer:
x = 18.64
Step-by-step explanation:
use tan:
⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 46 = [tex]\frac{18}{x}[/tex]
tan of 46 is 1.0355
⇒ 1.0356 = [tex]\frac{18}{x}[/tex]
multiply 18 on both sides
⇒ 1.0355 x 18 = [tex]\frac{18}{x}[/tex] x 18
⇒ 18.64 = x
50 apples cost $25. How much would 75 apples cost?
Answer:
37.5
Step-by-step explanation:
If 50 apples cost 25 then all you need to do is 25 x 1.5 = 37.5
And we know this is correct because 25 divided by 2 is 12.5.
so 12.5 is how much for 25 apples and if you multiply 25 times 3 it is equal to 75 so you need to mutliply 12.5 times 3.
12.5 x 3 = 37.5
20. What is the equation of the line that passes through the points (-2, 2) and (0,5)?
A. y = -3/2x + 5
B. y = 3/2x + 5
C. y = x-5
D. y = x + 5
Jillian and her friend went shopping. They were both looking for some new CD's. Jillian went to Music Matrix and spent $25.56 on 4 CD's. Her friend
spent $18.45 on 3 CD's. Who got the better deal? Show your work for each person. Answer who got the better deal and explain your reasoning,
Answer:
Her friend got the better deal.
Step-by-step explanation:
For Jillians equation look at
$22.56/4 = $6.39 per CD
For her friends equation look at
$18.45/3 = $6.15 per CD
Jillian's friend got the better deal because she paid less per CD as shown in the equations above.
Pls help this is due today! Find the m
Answer:
[tex]m<LMJ = 86[/tex]
Step-by-step explanation:
1. Approach
First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.
2. Finding ([tex]x[/tex])
Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.
Using this knowledge, one can apply it by saying;
[tex]m<K + m<J + m<M + m<L = 360[/tex]
Substitution,
[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]
Combine like terms;
[tex]160 + 25x = 360[/tex]
Inverse operations;
[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]
3. Finding ([tex]m<LMJ[/tex])
Substitute back in to find the [tex]m<LMJ[/tex]
[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]
Answer:
m∠M = 86
Step-by-step explanation:
the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.
360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.
substitute the values of ∠L and ∠M to make the equation
14x -7 + 11x -2 = 191
combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191
now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:
25x -9 = 191 → 25x = 200 → 25x = 200 → x = 8
+9 +9 /25 /25
Now put the value of x into the equation for angle M like this:
11(8) -2 = M and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86
Five forces are acting on a point P. They are 60N at 90 degrees, 40N at 0 degrees, 80N at 270 degrees, 40N at 180 degrees, and 50 N at 60 degrees. What is the magnitude and direction of the vector that would produce equilibrium at point P?
Sorry I don't know answer
7. Find the inverse of f(x) = -2x + 10. Please show work.
Answer- y = - x/2 + 5
Step by step - Replace f (x) with y.
Y = - 2x + 10
Interchange the variables.
x= -2y + 10
Solve for y.
Y= x/2 +5
give brailist but help me fast
Answer:
76.7
Step-by-step explanation:
11.3(3) + 10.7(4) = __ + 42.8
Multiply values
33.9 + 42.8 = __ + 42.8
The missing value is 33.9!
42.8 + 33.9 = 76.7
Which coupon is a better deal? 15℅ off of $75 shoes or $15 off of $75 shoes? Please show your work
Answer:
15 dollars off of 75 is better
Step-by-step explanation:
75 multiplied by 1.5 is only 11 dollars
Write 237 m as a fraction of 3.5 km
Answer:
0.237/3.5
Step-by-step explanation:
In order to rite 237 m as a fraction of 3.5 km, 237m must be in the same unit as 3.5km
it is necessary to convert, 237m to km
1000m = 1 km
so 237m = 237/1000= 0.237
0.237/3.5