eighteen is equal to the product of a number 9 and 9
Show that ( 1 +i )2 = 2i
Given:
The statement is
[tex](1+i)^2=2i[/tex]
To prove:
The given statement [tex](1+i)^2=2i[/tex].
Solution:
We have,
[tex](1+i)^2=2i[/tex]
Taking LHS, we get
[tex]LHS=(1+i)^2[/tex]
[tex]LHS=(1)^2+2(1)(i)+(i)^2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]LHS=1+2i+(-1)[/tex] [tex][\because i^2=-1][/tex]
On further simplification, we get
[tex]LHS=1+2i-1[/tex]
[tex]LHS=2i[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
To find the median you do not have to arrange the numbers in order from least to greatest (true or false)
Answer:
false
Step-by-step explanation:
you have to order them from least to greatest in order to find the answer
A
Use the drop-down menus to identify the parts of the
coordinate plane
Line A is the
В
Region BIS
Point C is the originy
Line D is the
Answer:
Line A is the : ✔ y-axis
Region B is: ✔ a quadrant
Point C is the: ✔origin
Line D is the: ✔ x-axis
Step-by-step explanation:
Did it on Edgen
For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
What is a coordinate plane?A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.
The intersection of these lines is known as the origin.
The diagram of the coordinate plane can be analysed as,
(a) Line A is the vertical perpendicular line.
It can be called as y-axis.
(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.
It is known as the first quadrant.
(c) Point C lies at the intersection of two lines perpendicular to each other.
It can be said the origin.
(d) Line D is the horizontal line.
It can be called as x-axis.
Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
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The missing diagram is attached here.
Which expression is equivalent to 10- (2x° +11x2–2x-35
- (2x +11x2 – 2x-35)+(x+5)+B(4x)?
O 22x2+x+3
O 22x2 - X+7
O 22x2-x+17
O 22x2 - X+3
Answer:
The answer would be 22x^2-x+17 so the answer is C.
Step-by-step explanation:
I'm pretty sure this is correct. Good luck lol
3.8
3.707
3.71 3.83
3.83 3.809
3.89
Least to greatest
Answer:
3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89
Step-by-step explanation:
3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89
Tamara walked for 2 1/4 miles . How many feet did she walk ?
Answer:
11880 feet!
Hope you get this correct
Milo earns his regular pay of $12.00 per hour for up to
40 hours of work per week. For each hour over
40 hours of work per week, Milo earns 1 times his
regular pay. How much does Milo earn in a week in
which he works 45 hours?
Answer: $540
Step-by-step explanation:
If Milo works 40 hours for the week, he earns $12.00 per hour.
If Milo works anything over $40, he makes 1 times his normal pay which means that he is making the same amount over 40 hours as he is under 40 hours.
If he works 45 hours therefore, his pay is:
= 45 * 12
= $540
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
A: 6
B: 16
C: 2
D: -12
Step-by-step explanation:
They are asking you to multiply the equations:
(3x^2 + 2x - 3)(2x + 4)
Distribute and you should get:
6x^3 + 16x^2 + 2x - 12
The Coefficients A,B,C, and D are 6, 16, 2, and -12.
The stock of Company A gained $2.75 throughout the day and ended at a value of $71.50. By what percentage did the stock rise?
Answer:
4%
Step-by-step explanation:
New value:
$
71.50
New value: $71.50
Old value:
71.5
−
2.75
=
$
68.75
Old value: 71.5−2.75=$68.75
68.75
(
1
+
r
)
=
71.5
68.75(1+r)=71.5
68.75
(
1
+
r
)
68.75
=
71.5
68.75
68.75
68.75(1+r)
=
68.75
71.5
1
+
r
=
1.04
1+r=1.04
r
=
0.04
r=0.04
Subtract 1
The stock gained 4
%
The stock gained 4%
Multiply by 100
solve the equation 3(x+4)=60
Answer:
x = 16
Step-by-step explanation:
3(x + 4) = 60
3x + 12 = 60 (I got this using the distributive property)
-12 -12
----------------------
3x = 48
÷3 ÷3
----------------
x = 16
A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. If this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up? 0.0150 0.1785 0.8215 0.9850
so I believe it is C 0.8215
The probability is 0.1785
What is probability?The study of how likely certain events are to occur is known as probability. In its simplest form, it is concerned with the fall of a game's cards or the roll of a dice. However, probability is also essential to life and science as a whole. Probability is used, for example, in weather forecasting and figuring out how much your insurance premiums will cost.
Given probability of tail by spinning a coin is 65% = 0.65
p(t) = 0.65 and p(h) = 0.35
where h= head and t= tail
coin spins 4 time
p(t) for first time = 0.65
p(t) for second time = 0.65 x 0.65 =0.4225
p(t) for third time = 0.65 x0.65 x 0.65 = 0.274
p(t) for fourth time = 0.65 x 0.65 x0.65 x 0.65 = 0.178
Hence probability that a student who spins 4 pennies will have them all land tails is 0.178
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William doubled the amount of money he had after raking leaves. Now he has $24.50. How much money did he hav before he doubled it?
Represent the amount that William had as the quotient of two rational numbers: then, determine how much money William had before he double it.
Answer:
x=8.16
Step-by-step explanation:
x=the money before
2x=doubled
3x=24.50
x=8.16
Answer:
The answer would be...
Step-by-step explanation:
$12.25 Because if you divide $24.50 by 2 then you would get the amount of money William had before he got doubled which would be $12.25.
Hope this helped
:)
what percentage of students have no brothers OR sisters but have a dog?
80+60=130 so 130/1000 you may need to divide
Can any one help? Model the pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x). f: initial value of 800 decreasing at a rate of 12% g: initial value of 20 increasing at a rate of 12%
Answer:
The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Step-by-step explanation:
We need to give exponential function to the given constraints.
since f(x) is a decreasing function so
f(x) = [tex]a(1-r)^x[/tex]
where
a = Initial value
r = rate at which function is decreasing
as we are given the values of a and r such as a = 800 and r = 12%
upon substituting these values in the equation we get
f(x) = [tex]800(1-0.12)^x[/tex]
= [tex]800(0.88)^x[/tex]
similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x) is an increasing function.
g(x) = [tex]a(1-r)^x[/tex]
where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.
g(x) = [tex]20(1+0.12)^x[/tex] = [tex]20(1.12)^x[/tex]
Now,
we need to find the value of x for which f(x) and g(x) will be equal.
so
[tex]800 (0.88)^x = 20(1.12)^x[/tex]
[tex]40(0.88)^x = (1.12)^x[/tex]
x will be approximately 4.1466
Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Help NOW PLEASE
Joy multiplied (3x – 3) by a
second binomial. If the product
was 9x2 – 18x + 9, find the
second binomial.
A. (3x – 3)
B. (3x + 3)
C. (3x – 6)
D. None of the above
Answer
(3x-3)
Step-by-step explanation:
The ratio of boys to girls in a math class is 2 to 3. If the class has 20 students, how many of them are girls?
Answer:
8:12
Step-by-step
The radius of a circle is 14.2ft. Find the circumference to the nearest tenth
Answer:
89.1
Step-by-step explanation:
Factorise 4a²_4ab+b²
Answer:
[tex](2a -b)^2[/tex]
Step-by-step explanation:
The area of the triangle is
108 m². What is the value
of x?
xm
(x+6) m
Answer:
x = 12
Step-by-step explanation:
Formula for area of a triangke is;
A = ½bh
Where;
b is base
h is height
From the triangle diagram given;
b = x + 6
h = x
Thus;
A = ½(x + 6)x
A = ½x² + 3x
Now we are told that the area is 108 m², Thus;
½x² + 3x = 108
Multiply through by 2 to get;
x² + 6x = 216
x² + 6x - 216 = 0
Using quadratic formula, we arrive at;
x = -18 or 12
x can't be negative, thus; x = 12
Write the equation of the graph in vertex form enter power using ^ and don’t forget y or f(x)
Answer:
?
Step-by-step explanation:
?
12/15=x/25 solve (algebra) pleas help I will mark brainlyesst
Answer:
20/25
Step-by-step explanation:
12/15=
4/5=
20/25
Gina used one-seventh of a cup of sugar to make a pitcher of lemonade. If she were to pour the lemonade into 4 smaller glasses how much sugar would be in each glass?
Answer:
1/28 of a cup of sugar would be in each glass
Step-by-step explanation:
1/7 x 4
1/7 x 1/4
1/28
two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?
23
.
.
.
.
.
.
.
I hope it's helpful for you dude
Answer:23
Step-by-step explanation:
for the parallelogram find the value of x,y,and z
Answer:
X = 119, Y = 61, Z = 119
Step-by-step explanation:
These are supplementary angles and equal 180.
180 - 61 = 119
Opposite angles are congruent
5x + 34 = -2(-7x + 1)
Do ACT score reports come in the mail or is it just accessible online?
Answer:
I believe it should come in the mail and online x
Floyd is an aspiring musc artist. He has a record contract that pays him a bak rue d 230 a month and
an additional $12 for each album that he sells. Last month he earned a total di S614,
Write an equation to determine the number of alus (a) Floyd sold last month.
PLEASE HELP I WILL MARK BRIANLIST
Answer:
a+a
Step-by-step explanation:
a+a
If the length of a rectangle is 12cm and the area is 48. What's the breadth and what's the perimeter??
Answer:
1. The breadth is 4 cm
2. The perimeter is 32 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 12 cm
Area (A) = 48 cm²
1. Determination of the breadth.
Length (L) = 12 cm
Area (A) = 48 cm²
Breadth (B) =?
A = L × B
48 = 12 × B
Divide both side by 12
B = 48 / 12
B = 4 cm
Thus, the breadth is 4 cm.
2. Determination of the perimeter
Length (L) = 12 cm
Breadth (B) = 4 cm
Perimeter (P) =?
P = 2(L + B)
P = 2(12 + 4)
P = 2(16)
P = 32 cm
Thus, the perimeter of the rectangle is 32 cm
PLEASE HELPPPPP , I WILL GIVE YOU 15 POINTS
Answer:
I would say it's the first one correct me if I'm wrong but I hope I helped
Answer:
Addition Property of Equality
Step-by-step explanation:
Hope this helps.
a bag of marbles contains 4 red marbles and 4 green marbles each red marble was labeled with a different number 1 through 4 and each green marble was labeled with a different number 1 through 4
Answer:
5/144
Step-by-step explanation:
Answer:
B. A = {G2, G4, R2, R4}
Step-by-step explanation: