Answer:
63+22i
Step-by-step explanation:
(8 - 3i)(6 + 5i)
FOIL
first: 8*6 = 48
outer: 8*5i = 40i
inner: -3i* 6 = -18i
last: -3i*5i = -15 i^2 = -15(-1) = 15
Add together
48+40i -18i +15
Combine like terms
63+22i
Prove that A - B = A-(A n B) using a Venn diagram
Step-by-step explanation:
my answer is an image above
6
2
Add
3
+
7. Simplify the answer and write as a mixed number.
.
Question Help: Video
Submit Question
Answer:
1 11/21
Step-by-step explanation:
Use common denominator of 3 * 7 = 21
2/3 * 7/7 = 14/21
6/7 * 3/3 = 18/21
-------------------------
14/21 + 18/21 = 32/21
Reduce
32/21 = 1 11/21
Answer: 1 11/21
Step-by-step explanation:
Data: 2/3+6/7=x
Step one, Find the common denominator
(2/3)x7(for each number)=14/21
(6/7)x3(for each number)=18/21
Reason: To add fractions, you always have to find the common denominator(so you can make the denominator the same for each fraction). The common denominator of 3 and 7 is 21 and since what you do to the bottom has to be done to the top, you multiply 2 by 7 and 6 by 3 to end up with 14/21 and 18/21.
Step two, add
14/21+18/21=32/21=1 11/21
Reason: Since we have our common denominators, we just have to add and, with fractions, you only add the top(numerator) and not the bottom(denominator) you end up with 32/14 but when made into a mixed fraction(by dividing the bottom into the top and leaving the remainder on the top) you get 1 11/21 which can't be simplified.
So since it can't be simplified, it's your answer
I hope this helps!
A triangle has side length 3,8 and 9. Find the angle measurement for the angle cross from the side with length of 8.
Answer:
The angle measurement is 61.218°
Step-by-step explanation:
I used a triangle calculator
Identify the least common multiple of:
(x + 1), (x - 1), & (x^2 - 1)
Given:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex].
To find:
The least common multiple of given expressions.
Solution:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex]. The factor forms of these expressions are:
[tex](x+1)=1\times (x+1)[/tex]
[tex](x-1)=1\times (x-1)[/tex]
[tex](x^2-1)=(x-1)(x+1)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
The least common multiple is the product of all distinct factors with its highest degree. So,
[tex]L.C.M.=1\times (x+1)\times (x-1)[/tex]
[tex]L.C.M.=(x+1)(x-1)[/tex]
[tex]L.C.M.=x^2-1^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.C.M.=x^2-1[/tex]
Therefore, the least common multiple of given expressions is [tex]x^2-1[/tex].
In a sale of 30% discount, the selling price of a LED TV was AED 4200. Calculate the price of TV before sale.
Answer:
3000
Step-by-step explanation:
30%×100=3000
then the profit is=
4200-3000=1200
Solving equations:
(a) 5x - 9 = 3x + 3
(b) x + 6 = 34 - x
Answer:
a) 5x - 9 = 3x + 3
5x - 3x = 3 + 9
2x = 12
x = 12 / 2
x = 6
b) x + 6 = 34 - x
x + x = 34 - 6
2x = 28
x = 28 / 2
x = 14
[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️ PLZ28 days = ? Weeks 339 days = ? Months 14 months = ? Days 8 weeks = ? Days 90 days = ? Months 3 minutes = ? Seconds 3days = ? Hours 48 days = ? Days 5 minutes = ? Seconds
Answer:
28 days = 4 weeks
339 days = 11 month
14 months = 420 days
8 weeks = 56 days
90 days = 3 months
3 minutes = 90 seconds
3 days = 72 hours
48 days = 48 days
5 minutes = 300 seconds
solve it : -
[tex] \sqrt{18 \times 2} [/tex]
________
Answer:
6
Step-by-step explanation:
sqrt(36)
sqrt(6^2)
6
Answer:
6
Step-by-step explanation:
18 * 2 = 64
√64 = 6
PLEASE HELP MEE 1616,
What is the value of f in the equation 7f-1=6
Answer:
f=1
Step-by-step explanation:
Answer:
Then vaule of f is 1
Step-by-step explanation:
The vaule of f is 1 because 7 x 1 = 7 - 1 =6
let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)
Answer:
1. (4,1,2,3,5)
Step-by-step explanation:
Since all the members of set A are present in "1"
In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
Problem 3 : Using In the pattern in the image below , how many dots would be in Step 4
Answer: 13 dots
Step-by-step explanation:
You're basically adding 4 each time around, so number 1 is 1 dot, then number 2 is 5 dots because you added 4, number 3 is 9 dots because you added 4, etc.
Answer:
T4 = 13
Step-by-step explanation:
Using arithmetic progression
Tn = a + (n - 1)d
Where a - first term
n - n^th term
d - common difference
34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3
Does anyone know the answer to this question ?
Answer:
12/25 = 48/100 = .48 = 48%
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
х
-2
4
-6
y
4
16
36
х
-4
-6
-8
y
-8
-12
-18
o
х
-3
-5
-7
y
5
3
1
O
х
-3
-6
-9
y
12
24
36
Answer:
x=-3×-5×-7
-3×-5=15
15×-7=-105
=-105
A = (1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = (1, 5, 6, 7, 9)
A U B=
Answer: Choice C) integers from 1 to 10 inclusive
==============================================================
Explanation:
The "U" means "set union". We form a larger set that contains any number that's in set A, set B, or both.
So,
A U B = {stuff from set A, stuff from set B}
A U B = {1,3,5,7,9, 2,4,6,8,10}
A U B = {1,2,3,4,5,6,7,8,9,10}
A U B = set of integers from 1 and 10 inclusive
That makes choice C the final answer.
Choice B is very close to it, but that verbally describes the set {2,3,4,5,6,7,8,9} which leaves out 1 and 10. The "inclusive" makes sure to involve the endpoints 1 and 10, as well as everything in between.
He surface area of a piece of paper is 692 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.
Answer:
Surface area = 6.92 cm²
Step-by-step explanation:
Given the following data;
Surface area = 692 cm²
To convert the area in cm² to mm²;
Conversion:
10 mm to cm = 10/10 = 1 cm
1 mm² to cm² = 1/100 = 0.01 cm²
692 mm² to cm² = 692 * 0.01 = 6.92 cm²
Therefore;
692 mm² = 6.92 cm²
In conclusion, the surface area of the piece of paper is 6.92 square centimeters.
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
Help
Will
Give
Brainlist
:)))
B : 7.9......................
Answer:
7.9
Step-by-step explanation:
15 + 12 + 5 + 9 + 7 + 2 + 5
55
55 ÷ 7
[tex]\frac{55}{7}= 7\frac{6}{7}=7.85714285714[/tex]
7.85714285714 rounds to 7.9
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(1).
(a). 1 m ≈ 3.28 ft.
128 m ≈ 419.84 ft.
(b). 1 yd. ≈ 0.0009144 km
3910 yd. ≈ 3.58 km
(2). 1 m ≈ 0.0006214 mi.
10 000 m ≈ 6.2 mi.
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.) find the
number of bacteria after 13 hours
Answer:
k=.25068
Step-by-step explanation:
450 = 100 [tex]e^{6k}[/tex]
4.5 = [tex]e^{6k}[/tex]
ln(4.5) = 6k
k= ln(4.5)/6
k=.25068
The number of bacteria after 13 hours will be 2579.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that a biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favourable growth medium. Six hours later, he measures 450 bacteria.
The bacteria after 13 hours will be calculated as,
[tex]N=100(e)^{13\times 0.25)[/tex]
[tex]N = 100\times e^{3.25}[/tex]
N = 2579.
Therefore, the number of bacteria after 13 hours will be 2579.
To know more about an exponential expression follow
https://brainly.com/question/12940982
#SPJ2
PLZ HELP WILL GIVE BRAINLY IF RIGHT!!!
-2(x-4)=4x+2x+8
Answer:
x = 0
Step-by-step explanation:
-2(x-4)=4x+2x+8
Distribute
-2x +8 =4x+2x+8
Combine like terms
-2x+8 =6x+8
Add 2x to each side
-2x+2x+8 =6x+2x+8
8 = 8x+8
Subtract 8 from each side
8-8 = 8x+8-8
0 = 8x
Divide by 8
0=x
Answer:
x = 0
Step-by-step explanation:
-2(x-4) = 4x+2x+8
-2x+8 = 6x+8
8-8 = 6x+2x
0 = 8x
x = 0
Hope this will help and if so, then please mark me as brainliest.
Determine the intercepts of the line.
y
=
11
x
+
6
Answer:
intercepts are (-6/11 , 0) and ( 6,0 )
NEED HELLPPPPP !!!!
Answer:
x = 14
Step-by-step explanation:
Triagle GIA and Triangle GNT are congruent.
Which of the following regression equations best fits the data shown below?
Answer:
the answer is A
Step-by-step explanation:
sorry if im worng
The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are there in total
Answer:
8428
Step-by-step explanation:
According to the Question,
Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.We have a number sequence 13, 18, 23, ...
We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.The formula for the sum of an arithmetic sequence with n terms is given is [tex]S_n= \frac{n}{2} [2a_1+(n-1)d]S[/tex] .Substitute the given values into the equation to solve for the sum of the 56 rows of seats.
[tex]S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428[/tex]
Therefore, there are 8428 seats in all.
Solve the system by substitution.
y = -5x
y= -7x – 14
Answer:
x = -7 y = 35
Step-by-step explanation:
-5x = -7x - 14
2x = -14
x = -7
y = -5(-7)
y = 35
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2,3) is reflected across both the x- and y-axes. The coordinates after both reflections are X'( ), Y'( ), and Z'( ).
Answer:
X'(-3, -2), Y'(-5, 1), and Z'(2, -3)
Solve for x. x-6 8x + 24
Answer:
x = 18
Step-by-step explanation:
The 2 angles lie on a straight line and sum to 180° , then
x - 6 + 8x + 24 = 180
9x + 18 = 180 ( subtract 18 from both sides )
9x = 162 ( divide both sides by 9 )
x = 18
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND :}}}[/tex]
The value of [tex]x[/tex].
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { x\:=\:18}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ [tex]x[/tex] - 6 + 8[tex]x[/tex] + 24 = 180°
➪ 9[tex]x[/tex] + 18 = 180°
➪ 9[tex]x[/tex] = 180° - 18
➪ 9[tex]x[/tex] = 162
➪ [tex]x[/tex] = [tex]\frac{162}{9}[/tex]
➪ [tex]x[/tex] = 18
Therefore, the value of [tex]x[/tex] is 18.
Now, the two angles are:-
( [tex]x[/tex] - 6 ) = ( 18 - 6 ) = 12°( 8[tex]x[/tex] + 24 ) = ( 8 x 18 + 24 ) = 144 + 24 = 168°[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
✒ 12° + 168° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]