Answers
Step-by-step explanation:
I am not sure what you want to calculate as ultimate goal.
but your have an error already in your third line in the picture.
(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)
you had there a "+" instead of a "-".
and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.
= 3×2 - 3×4i - 6i×2 + 6i×4i =
= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18
then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.
(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =
= 6 + 12i + 12i + 24×-1 =
= 6 + 24i - 24 = 24i - 18
is that what you wanted to show ?
Related Questions
c=1/21.22.23+1/22.23.24+................+1/200.201.202
. = là dấu nhân
Answers
It looks like you have to find the value of the sum,
[tex]C = \displaystyle \frac1{21\times22\times23} + \frac1{22\times23\times24} + \cdots + \frac1{200\times201\times202}[/tex]
so that the n-th term in the sum is
[tex]\dfrac1{(21+(n-1))\times(21+n)\times(21+(n+1))} = \dfrac1{(n+20)(n+21)(n+22)}[/tex]
for 1 ≤ n ≤ 180.
We can then write the sum as
[tex]\displaystyle C = \sum_{n=1}^{180} \frac1{(n+20)(n+21)(n+22)}[/tex]
Break up the summand into partial fractions:
[tex]\dfrac1{(n+20)(n+21)(n+22)} = \dfrac a{n+20} + \dfrac b{n+21} + \dfrac c{n+22}[/tex]
Combine the fractions into one with a common denominator and set the numerators equal to one another:
[tex]1 = a(n+21)(n+22) + b(n+20)(n+22) + c(n+20)(n+21)[/tex]
Expand the right side and collect terms with the same power of n :
[tex]1 = a(n^2+43n+462)+b(n^2+42n+440) + c(n^2+41n + 420) \\\\ 1 = (a+b+c)n^2 + (43a+42b+41c)n + 462a+440b+420c[/tex]
Then
a + b + c = 0
43a + 42b + 41c = 0
462a + 440b + 420c = 1
==> a = 1/2, b = -1, c = 1/2
Now our sum is
[tex]\displaystyle C = \sum_{n=1}^{180} \left(\frac1{2(n+20)}-\frac1{n+21}+\frac1{2(n+22)}\right)[/tex]
which is a telescoping sum. If we write out the first and last few terms, we have
C = 1/(2×21) - 1/22 + 1/(2×23)
… … + 1/(2×22) - 1/23 + 1/(2×24)
… … + 1/(2×23) - 1/24 + 1/(2×25)
… … + 1/(2×24) - 1/25 + 1/(2×26)
… … + … - … + …
… … + 1/(2×198) - 1/199 + 1/(2×200)
… … + 1/(2×199) - 1/200 + 1/(2×201)
… … + 1/(2×200) - 1/201 + 1/(2×202)
Notice the diagonal pattern of underlined and bolded terms that add up to zero (e.g. 1/(2×23) - 1/23 + 1/(2×23) = 1/23 - 1/23 = 0). So, like a telescope, the sum collapses down to a simple sum of just six terms,
C = 1/(2×21) - 1/22 + 1/(2×22) + 1/(2×201) - 1/201 + 1/(2×202)
which we simplify further to
C = 1/42 - 1/44 - 1/402 + 1/404
C = 1,115/1,042,118 ≈ 0.00106994
You go to the doctor and he injects you with 13 milligrams of radioactive dye. After 12 minutes, 4.75 milligrams of dye remain in you system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound will sound the alarm whenever more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived and the amount of dye decayse exponentially?
Answers
Answer:
Step-by-step explanation:
You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.
If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.
Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in
[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:
[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have
13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:
[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get
.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that
b = .9195228407 Yikes.
Now for the model, using the fact that a = 13 and b = .9195228407:
[tex]A=13(.9195228407)^t[/tex]
We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:
[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get
[tex].1538461538=.9195228407^t[/tex] Take the natural log of both sides, which allows us to bring the t out front:
ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get
t = 22.3 minutes
What is the solution to this inequality?
X-7>-6
O A. X<-13
O B. x>-13
O C.x>1
O D x< 1
Answers
Answer:
Option C
X>1
Step-by-step explanation:
x-7>-6
x>-6+7
x>1
Please Mark me brainliest
Answer:
C
Step-by-step explanation:
x - 7 > -6
x > -6 + 7
x > 1
• We change the inequality sign if we multiply or divide a negative number from both sides. But since it’s positive and we added it we won’t change the inequality sign.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the estimated value of each expression with its position on the number line. + A B C D E ++ + 1 2 3 4 5 6 7 -2 -1 0 A B С D E V90-V40 V35 - 42 V5 – V6 2127-148 V54 - V24 18 – V8
Answers
Answer:
1. D
2.C
3. E
4.A
Step-by-step explanation:
the guy above or below me is incorrect.
Drag each label to the correct image. Each label can be used more than once, but not all labels will be used. A cube is a rectangular prism whose faces are all squares with sides of the same length. Match each cross section of the cube to its correct image.
Answers
Answer:
From left to right it's square square rectangle.
which steps should be used to graph the equation y-4=1/3 (x+2)
Answers
Answer:
y - 4 = 1/3 (x + 2)
3 y - 12 = x + 2
3y = x + 14
y = x / 3 + 14 / 3
Using y = m x + b as the equation for a standard line
We see that equation represents a line with slope of 1/3
When x = 0 the y-intercept is 14 /3
Given |
m || n, find the value of x.
xº
m
54°
2
Answer: 2 =
Submit Answer
attempt 1 out of 2
Pls help me I got it wrong one already
Answers
Answer:
x = 126
Step-by-step explanation:
The angles are complementary which means they sum to 180
x+54 =180
x = 180-54
x = 126
Solve the system of inequalities and indicate any three numbers which are solutions: x-0.8>0, -5x<10
Answers
x > 0.8
x > -2
hope it helps :)
The solution of the given inequalities will be x > 0.8 and x < -2.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given inequalities are x-0.8>0, and -5x<10. the inequalities will be solved as:-
x-0.8>0
x > 0.8
-5x<10
Take -5 to the right side and divide 10 by -5 and solve further.
x < -10 / 5
x < -2
Therefore, the solution of the given inequalities will be x > 0.8 and x < -2.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ5
Can anyone help pls :)? Thank you
Answers
Explanation: The EXACT calculation would be 5.9215.. so the closest approximation would be
6, as it's only about .08 -ish away from 6.
Answer:
It's D:5.3
Step-by-step explanation:
√28 =5.29
Round off therefore is 5.3
Find the midpoint of AC.
Answers
Answer:
(0+a)/2 , (0+a)/2
= (a/2, a/2)
Answered by GAUTHMATH
Find the solution: | x + 1 | + 16 = 10
Answers
Answer:
[×1] +16=10
×=10-16
×=-6
Answer:
x=5 and x=-5
Step-by-step explanation:
First subtract 16 from both sides.
Then solve for x+1=6 and x+1=-6
you answer should be x=5 and x=-5
Area of parallelogram!!
Answers
Answer:
3.375 cm^2
Step-by-step explanation:
The area of a parallelogram is given by
A = bh where b is the base and h is the height
A = 2.25 * 1.5
A =3.375 cm^2
Area = length x height
Area = 2.25 x 1.5
Area = 3.375 cm^2
What is the surface area of a square prism with sides that measure 8 units?
Answers
Answer:
384 square units
Step-by-step explanation:
Square prism = Cube
Formula for finding the surface area of a cube = L x L (6)
Surface area = 8 x 8 (6)
Surface area = 64(6)
Surface area = 384 square units
Answer:
384 units squared
Step-by-step explanation:
Square 8 and then multiply by 6.
What is the length of segment VT?
Answers
Answer:
5
Step-by-step explanation:
VU = VT because they are on two diagonals that intersect at the midpoint
Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98
Answers
2)10,290
105
98
10290
(3y-2z) (3y+2z)
3y(3y+2z)-2z(3y+2z)
9y2+6yz-2z(3y+2z)
9y2+6yz-6yz-4z2
9y2-4z2
a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)
Answers
Answer:
(a-b)(b-c)(a-c)
Step-by-step explanation:
a^2(b - c) + b^2(c-a) + c^2(a - b)
= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b
=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b
= ab(a - b) - c(a^2 - b^2) +c^2(a - b)
=ab(a - b) -c(a - b)(a + b) +c^2(a - b)
=(a - b)(ab - c(a + b) +c^2)
=(a - b)(ab - cb -ca + c^2)
= (a - b)(b(a-c) -c(a-c))
=(a-b)(b-c)(a-c)
Help quickly PLEASE In a probability experiment, Eric flipped a coin 39 times. The coin landed on heads 26 times. What is the ratio of heads to tails in this experiment?
A. 3/2 B.1/2 C. 3/2 D 2/1
Answers
Answer: 2/1 (Choice D)
Explanation:
He flipped the coin 39 times, of which 26 heads came up. That must mean 39-26 = 13 tails came up.
The ratio of heads to tails is 26/13 = 2/1
We can write that as 2:1 to mean similar notation. The key is that we list heads first since the phrasing is "ratio of heads to tails", where heads is listed first. If you had tails first, then it would flip to 1/2 aka 1:2
Independent Practice
Which model is most appropriate for the set of points?
(–2, 5), (–1, –1), (0, –3), (1, –1), (2, 5)
A.
exponential
B.
linear
C.
quadratic
Answers
In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively
Answers
Given:
Total number of people = 10
To find:
The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.
Solution:
We know that the number of ways to select r items form n times is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].
The number of remaining people is [tex]10-2=8[/tex].
The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].
The number of remaining people is [tex]8-3=5[/tex].
The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].
Now, the total number of ways is:
[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]
[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]
[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]
[tex]Total=45\cdot 56\cdot 1[/tex]
[tex]Total=2520[/tex]
Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.
need help asap pls !
Answers
Answer:
L={∅}
Step-by-step explanation:
i am having troubles solving this 4(x+3)=x+42 can i get some help please.
Answers
Answer:
x=10
Step-by-step explanation:
Step 1: Multiply 4 with X and 3. You'll get 4x+12=x+42
Step 2: Keep the variable on one side and the number on the other side. you would subtract X and subtract 12. You'll get 3x=30
Step 3: Divide by the 3 on both sides and you'll get x=10
Given:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ [/tex]
Solution:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ \\ \\ \tt⇢ 4x + 12 = x + 42 \: \: \\ \\ \\ \tt \: ⇢4x - x = 42 - 12 \: \\ \\ \\ \tt \: ⇢3x = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: ⇢x = \frac{30}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: \pink{ \pmb{ \mathfrak{⇢x = 10}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ [/tex]
Verification:
[tex] \\ ⇢ \tt \: 4(10+ 3) = 10+ 42 \\ \\ \\ \tt⇢ 40 + 12 = 10 + 42 \: \: \\ \\ \\ \tt \: ⇢52 = 52 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \: ⇢ \purple{ \pmb{ \bold{L.H.S = R.H.S}}}\\ \\ \\ [/tex]
Hence Verified!3/7 x 4/7 what is the answer
Answers
3/7×4/7= (3×4)/(7×7)= 12/49
Answer:
12/49
Step-by-step explanation:
Hi! To start off, I'm going to multiply our numerators, and then our denominators.
3 × 4 = 12
7 × 7 = 49
Usually, if this fraction was not simplified (but it is) we would simplify it (ex. 2/4 to 1/2).
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
The diagram below represents which percent?
An area model with 4 shaded sections and 1 unshaded section.
Answers
Answer:
25%
Step-by-step explanation:
1 ÷ 4 = 0.25
0.25 x 100 = 25 = 25%
Please help me solve this equation quickly!
Answers
Answer:
10
Step-by-step explanation:
The altitude of a graph is displayed as the square root of the two parts of the hypotenuse multiplied together. Over here, the two values are 5 and 15. That means the altitude of the graph is the square root of 5 times 15, which means the altitude of the bigger triangle is equal to the square root of 75. Now, we can use the Pythagorean theorem on the smallest triangle to figure out the value of x. We have:
[tex]5^2+(\sqrt{75})^2=x^2[/tex]
5 squared is 25 and the square root of 75 squared is 75.
[tex]25+75=x^2[/tex]
Combining like terms:
[tex]100=x^2[/tex]
Taking the square root of both sides:
[tex]10=x[/tex]
The value of x is 10.
what is the answer to this equation?
Answers
Answer:
4i
Step-by-step explanation:
apply (a+b)^2 formula
Hope this helps
please help geometry work coordinates
Answers
Answer:
(a,a)
Step-by-step explanation:
Keep in mind that the vertical line represents the y axis and the horizontal line represents the x axis
We want to find the coordinates of C
We can do this by looking at the given coordinates and the axis..
We are given that B is at (0,a) and we are given that D is at (a,0)
Now looking at C, we can tell that C shares the same y value as B and the same x value as D
If B has a y value of a and D has an x value of a then C would have an x and y value of a
Hence C would be at (a,a)
what is the product of 7/9 and 1/4 in fraction form?
Answers
Answer:
Wdym? that is fraction form, but if you ment decimal form; it is .7777 repeating and .25
Step-by-step explanation:
Can u help solve this
Answers
2304 in^2
Step-by-step explanation:
Top shape volume = L • W • H where L = length W = Width and H = Height
12 • 6 • 12 = 864 in^2
Bottom shape volume = L • W • H where L = Length W = Width and H = Height
18 • 8 • 10 = 1440 in^2
Add 864 and 1440
864 + 1440 = 2304 in^2
*Mark me as brainliest*
Answer:
2304 in^3
Step-by-step explanation:
12×12×6+8×10×18
=864+1440
=2304
pls answer quickly before 3:30
Answers
Your first point will be on 4 then to get your second point go down 2 then to the right 3.
Q = (√x-5)² + (√x+4)-41
Answers
Answer:
. .
Step-by-step explanation:
x^2-9x√x-12
solve by using formula (a+b)^2 and open the brackets
