Answer:
(1 + 2i)(1 - 2i)
Step-by-step explanation:
Multiplying a complex number and its conjugate results in a real number.
Thus
1 + 2i and 1 - 2i are conjugates
(1 + 2i)(1 - 2i) ← expand using FOIL
= 1 - 2I + 2I - 4I² [ note i² = - 1 ]
= 1 - 4(- 1)
= 1 + 4
= 5 ← a real number
Answer:
C
Step-by-step explanation:
C
How does the graph of f(x) = |x| compare with the graph of g(x) = -2|x|
Answer:
the graph of g(x) will be vertically stretched by -2 and it will be steeper
Step-by-step explanation:
x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5
Answer:
I don't understand the first one
if 2 consecutive Integers have a Sum of 127, find the number
In Cary's basketball career, he's made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, what is the range of successful free throws he can expect to make?
Answer:
150 to 170 successful free throws
Step-by-step explanation:
Total % of free throws made = 80%±5%
If attempted number of free throws = 200
Range of successful free throws to expect :
(80% - 5%) of 200 TO (80% + 5%) of 200
75% of 200 TO 85% of 200
(0.75 * 200) TO (0.85 * 200)
150 TO 170
150 - 170 successful free throws
.
Round 1.567 to the nearest tenths place.
1.5
1.6
1.57
1.56
Answer:
1.567 rounded to the nearest tenth place
5 is in the tenth place and 6 is after it. 6 is above 5, so 5 rounds up.
1.6 is your answer
I need an answer as soon as possible
Answer:
The answer x = 75
Step-by-step explanation:
A triangle's angles must add up to 180 degrees.
We already have 47 and 58 which is 105. 180 - 105 = 75.
Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch? Group of answer choices 4/7 3/4 1 3/4 1 1/2
Answer: 1 3/4 cups of apples in each batch
Step-by-step explanation:
STEP 1
Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples
LET x be number of cups of apples to make each batch
7 cups of apples = 4 Batches
x cups of apples = 1 Batch
STEP 2 Solving by cross multiplication
1 batch x 7 cups of apples = 4 batches X x cups of apples
x cups of apples=1 batch x 7 cups of apples / 4batches
x = 7 / 4 = 1 3/4
number of cups of apples to make each batch= 1 3/4
YALL B) HELP ME NOOOOWWWWWWWW!
Answer:
A) 0."36"
B)It is a repeating decimal because .36 is repeated indefinitely. Terminating decimals contains a finite number of digits after the decimal point.
Step-by-step explanation:
a cube of wood exerts a pressure of 2Pa when it is placed on a floor . What is the force exerted by the cube if its surface area is 5m square?
lemon made 8 5/8 cups of lemonade. she drank 4 3/8 cups of the lemonade. how many cups of lemonade does she have left
Answer: 4 1/4
Step-by-step explanation:
8 5/8
-4 3/8
4 2/8 or 4 1/4
7th grade math
I will give brainliest to right answer
6 = -4/5 s
what is the value of s
Answer:
[tex]\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}[/tex]
s = 30/-4 or -7.5
What is 8 times 5 times 6 times 21
Answer:
5040
Step-by-step explanation:
multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times
A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement
The two possible measurements given by the student are :
19 cm or 21 cmGiven the Parameters :
Length of stick = 20 centimeters Percentage Error in measurement = 5%The length of the error in measurement can be calculated thus :
Percentage error in measurement × length of stick 20 cm × 5% = 1 cmTherefore the student's measurement can be expressed as :
Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20Therefore, the possible measurements of the student are 19 or 21 cm
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(25)2×100÷23+[24÷(13−5)]
Answer:
100*100/23+(24/8)
100*100/23+3
100*4.37+3
43.7+3
46.7
Step-by-step explanation:
BRAINLIEST! Please help me with the following riddle (its part of an assignment):
If an electric train is traveling south, which way is the smoke going?
Answer:
The electric train produces no smoke.
Step-by-step explanation:
Hope this helped! :>
Answer:
There is no smoke. This is because the train is electric so it does not even matter the direction.
(-20, -3) U (0,00)
what is the inequality notation?
Answer:
-20 < x < -3
Step-by-step explanation:
*math*
Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations? (4 points)
a
It is (18, 9).
b
It is (9, 18).
c
There are infinitely many solutions.
d
There is no solution.
a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.
Answer:
78 adult tickets were sold
2x + x = 234
3x = 234
x = 78
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
Step-by-step explanation:
b
Carmen was scuba diving 115 feet below the surface of the ocean. She swam up 20 feet to
look at a colorful school of fish.
What is Carmen's position now relative to the surface of the ocean?
feet
Answer:
-115+20= -95 so, carmen is scuba diving 95 feet below surface level
Step-by-step explanation:
below surface level means negative
Answer:
The answer: - 95 DON'T FORGET THE NEGATIVE SIGN!
Step-by-step explanation:
Which table of values represents a linear function ?
Answer:
Step-by-step explanation:
C
the equation would be y=2x+4
The solution is Option C.
The linear equation is given as y = 2x + 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the x values be = { -4 , -2 , 0 , 2 }
Let the y values be = { -4 , 0 , 4 , 8 }
The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 0 - ( -4 ) / ( -2 - ( - 4 ) )
On simplifying the equation , we get
Slope m = 4/2 = 2
Now , the equation of line is
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 0 = 2 ( x - ( -2 ) )
On simplifying the equation , we get
y = 2x + 4
Hence , the linear equation is y = 2x + 4
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What is the area of this trapezoid?
Answer:
153
Step-by-step explanation:
0.6 divided by what equals 2.5
Answer:
1.5
Step-by-step explanation:
Do the reverse/opposite/check division with multiplication.
2.5 · 0.6 = 1.5
Kedar earns a monthly salary of $2,200 plus a 3.75% commision on the amount of his sales at men's clothing store. What would he earn this month if he sold $4,500 in clothing?
Answer:
$2368.75
Step-by-step explanation:
Kedar earns a monthly salary of $2200 and a commission of 3.75%
He sold $4500 this month
The first step is to calculate his commission for this month
His commission can be calculated as follows
= 4500 × 3.75/100
= 4500 × 0.0375
= 168.75
Therefore yr amount earned this month can be calculated as follows
= 2200 + 168.75
= $2368.75
please everyone mark me as brainlest
Answer:
for brainliest you have to give answers not to ask questions
Step-by-step explanation:
then the people choose you brainliest if you give good answers
7 3 2 = 2 insert symbols
Answer:
7 - 3 - 2 = 2
Step-by-step explanation:
(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA
Answer:
Hi,
LHS = sinA-cosA+1/sinA+cosA-1
divide both numerator and denominator by cosA
LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)
Now
sec2A=1+tan2Asec2A=1+tan2A
sec2A−tan2A=1sec2A−tan2A=1
Using above relation at denominator of LHS
LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)
LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))
LHS=1/(secA−tanA)LHS=1/(secA−tanA)
LHS=RHSLHS=RHS
Hence Proved.
I think above proof will clear your doubt,
All the best.
Dr.Nash brought a bushel of corn that weight 50 pounds the bushel contains 100 ears of corns what is the approximate weight in ounces of one ears of corn remember there are 16 ounces of in a pound
Answer: 8 ounces
Step-by-step explanation: You would need to do 50/100=0.5 which would be the weight of the corn in pounds. If one pound equals 16 ounces and 0.5 is half of 1 you would get 8 ounces.
Help plz brainliest for first answer and best answer
According to the graph, how many chocolates are in 3 boxes?
A. 10
B. 12
C. 15
D. 16
Answer:
C.15
Step-by-step explanation:
one box has 5 chocolates so 3*5=15
A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?
Answer:
242
Step-by-step explanation:
165 ÷ 15 = 110
110 × 2.2 = 242
The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
A train covers 165 km in 1.5 hours.
The ratio of distance covered to the number of hours is 165/1.5.
Let's say in 2.2-hour train travel x number of km.
The ratio of distance covered to the number of hours x/2.2
Both ratios must be the same,
x/2.2 = 165/1.5
x = 110 x 2.2 = 242 km
Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".
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