The expression in terms of i is mathematically given as
x=√6*i
A complex number is a component of a number system that extends the real numbers by adding a specific element denoted I also known as the imaginary unit, and satisfying the equation i2 = 1;
Every complex number can be expressed in the format a + bi, where a and b are real numbers. In other words, a complex number is a number that contains both real and imaginary components.
Generally, the equation for the expression is mathematically given as
x=√-6
Where
i=√-1
Therefore
x= √6 *√-1
x=√6*i
In conclusion, The expression in terms of i is
x=√6*i
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The activity fee for an arts camp is $250. If the activity fee increases by 20%, what will be the new activity
fee?
050
If activity fee for an arts camp is $250. If the activity fee increases by 20% then $300 will be the new activity fee.
What is Percentage?Percentage is a relative value indicating hundredth parts of any quantity.
Given activity fee for an arts camp is $250.
The activity fee increases by 20%.
We need to convert percent to decimal.
20%=20/100=0.2
We need to find what is 20% of $250.
So 0.2*250=50
So 50 is 20% of 250.
As activity fee increases by 20% the new fee will be
$250+$50=$300.
Therefore $300 will be the new activity fee.
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Eight more than six times a number is the same as two less than 8 times the number. What is the number?
The number is 5.
How to find the variable?Eight more than six times a number is the same as two less than 8 times the number.
Let
the number = x
Therefore,
8 + 6x = 8x - 2
add 2 to both sides of the equation
8 + 6x = 8x - 2
8 + 2 + 6x = 8x - 2 + 2
10 + 6x = 8x
subtract 6x from both sides of the equation
10 + 6x = 8x
10 + 6x - 6x = 8x - 6x
10 = 2x
divide both sides by 2
x = 10 / 2
x = 5
Therefore, the number is 5.
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Write the number 8.62 thousand or 8.62K in ordinary notation.
Answer:
8,620 (Scientific notation is 8.62*10^3)
Step-by-step explanation:
Question... isn't it just the real number?
Measurements are made at two different times. Find the absolute change and then find the percentage change. Round answers to the
nearest tenth if necessary.
The population of Placerville grew from 4360 a decade ago to 6590 today.
Select one:
a. Absolute change: 2230
Percentage change: 51.1%
b. Absolute change: -2230
Percentage change: 51.1%
c. Absolute change: 33.8%
Percentage change: 2230
d. Absolute change: 2230
Percentage change: 33.8%
Clear my choice
Answer:
A
Step-by-step explanation:
4360+(4360(0.511)) Equals 6590 when rounded up
The correct answer is Absolute change: 2230 and Percentage change: 51.1%. So, correct option is A.
To calculate the absolute change and percentage change, we need to subtract the initial measurement from the final measurement and then calculate the percentage change relative to the initial measurement.
Given that the population of Placerville grew from 4360 a decade ago to 6590 today, we can calculate the absolute change as follows:
Absolute change = Final measurement - Initial measurement
Absolute change = 6590 - 4360
Absolute change = 2230
Therefore, the absolute change in population is 2230.
To calculate the percentage change, we divide the absolute change by the initial measurement and multiply by 100:
Percentage change = (Absolute change / Initial measurement) * 100
Percentage change = (2230 / 4360) * 100
Percentage change ≈ 51.1%
Hence, the correct answer is:
a. Absolute change: 2230
Percentage change: 51.1%
Therefore, option a is the correct choice.
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Please help ASAP I only need help on B if it helps a is station x PLEASE help I will give all my points
Answer:
the second one will be 30 points ig
Answer:
il def try me best!
Step-by-step explanation:
station x would cost abt 40 and station y would cost 40 to 25!
$1,000 each month with .25% monthly simple interest for 1 year.
The compound interest is $2.5
What is Compound interest?
When you earn interest on both the money you've saved and the interest you earn, is called Compound interest.
Given that;
Principal amount = $1,000
Rate = .25%
Time = 1 year
Now, Amount = P (1 + r)^t
= 1,000 ( 1 + .25%)^1
= 1,002.5
And, Compound interest = P (1 + r)^t - P
Now, Amount = 1,000 ( 1 + .25%)^1
= 1,002.5
Hence, Compound interest = 1,002.5 - 1,000
= 2.5
So, The compound interest is $2.5.
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If a triangle with angle AB 2x, BC 4x-10, and AC 3x-7, What is the lenght of line segment AC?
Answer:
Step-by-step explanation:
7 units long
Step-by-step explanation:
We are given a right triangle ABC
AB = 25 units
BC = 24 units
We are required to determine the length of AC
We are going to use the Pythagoras theorem;
According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;
a² + b² = c²
In this case;
AB is the hypotenuse and BC is one of the legs of the triangle;
Therefore;
AB² = BC²+AC²
Rearranging the formula;
AC² = AB² - BC²
= 25² - 24²
= 625 - 576
= 49
AC = √49
Thus, AC is 7 units long
HOPE THIS HELPS :)
If the probability of rain is 2/5 what's the problem probability of no rain
Name the greatest place-value position where the digits differ. Name the greatest number. 95, 59
(2x + 1)(x + 8)
Put answer in standard form.
Answer:
2x² + 17x + 8
Step-by-step explanation:
Let's solve the problem,
→ (2x + 1)(x + 8)
→ 2x(x + 8) + 1(x + 8)
→ 2x² + 16x + x + 8
→ 2x² + 17x + 8
The answer is 2x² + 17x + 8.
Una calle de 90 metros de largo y 10 de ancho , se halla pavimentada con 24,000 adoquines. ¿cuantos adoquines se necesitan para pavimentar otra calle del doble de largo y cuyo ancho es los 4/5 de la calle anterior?
Se necesita 43,200 adoquines para cubrir una calle de 180 metros de largo y 8 metros de ancho.
¿Cuántos adoquines son requeridos para cubrir una calle?
Cada adoquin cubre una porción del área total de la calle (A), en metros cuadrados, de modo que el total de adoquines es directamente proporcional al área de la calle. El área de la calle es igual al producto de su largo y su ancho, ambos en metros. El total requerido de adoquines se estima mediante regla de tres simple:
x / 24000 = [2 · 90 · 0.8 · 10] / [90 · 10]
x / 24000 = 1.8
x = 43200
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12. Let g(x) =ƒ (2x)
a) Find g(-2) and g(1).
b) Determine the slope of g(x) on the interval [0, 1].
c) Sketch a graph of g(x).
АУ
a. g(-2) = -4
g(-1) = 2
b. slope of g(x) on the interval = 2
Given,
a. g(x ) = f(2x)
g(-2) = 2(-2)
g(-2) = -4
g(1) = 2(1)
g(1) = 2
b. slope = g(b) -g(a)/b-a
g(0) = 2(0)
g(0)= 0
g(1) = 2(1)
g(1) = 2
therefore, g(1)-g(0)/1-0
slope = 2-0/1
slope = 2
hence we get the slope as 2.
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7TH GRADE MATH PLESE HELP MEE ITS REALLY CONFUSING FOR ME PLS DO AS ASKED AND MARKING BRINLIST HELP ASAAAAPP!!!!!
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.
Answer:
Are of the parallelogram = 168 square feet
Step-by-step explanation:
I am not sure exactly what the question is asking for since the area of a parallelogram is simply the base x height and both are given
Are = 14 x 12 = 168 square feet
I have attached a picture with the decomposition of the parallelogram into a rectangle and two triangles.
ABCD is the parallelogram with base = 14 and height = 12
ABE and CDF are the two triangles each with base = 3 and height = 12
EBFD is a rectangle
All the dimensions are marked
I hope that helps and if you need any further clarification, please do ask
Nanuk has a savings account which
gathers compound interest each year.
He opened the account with a deposit of
£2000.
After 4 years there is £2545.10 in the
account.
Work out the annual interest rate of the
savings account.
Give your answer as a percentage to 1
dp
The rate of interest compounded annually is 6.4 %.
What is compound interest?Compound interest is the interest we earn on both principle and interest.
Nanuk in his savings account had 2000 euros which became 2545.10 in 4 years compounded annually.
Here, Amount(A) = 2545.10, Principle(P) = 2000, Time in years(n) = 4 and we have determine the rate of interest which is r.
We know, For compound interest A = P( 1 + r/100)ⁿ which is,
[tex](\frac{A}{P})^\frac{1}{n}[/tex] [tex]= ( 1 + \frac{r}{100})[/tex].
[tex](\frac{A}{P})^\frac{1}{n} - 1 = \frac{r}{100}[/tex].
[tex](\frac{2545.1}{2000})^\frac{1}{4} - 1 = \frac{r}{100}[/tex].
[tex](1.28)^\frac{1}{4} - 1 = \frac{r}{100}[/tex].
[tex]1.064 - 1 = \frac{r}{100}[/tex].
[tex]0.064 = \frac{r}{100}[/tex].
[tex]r = 6.4[/tex].
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Which statement describes the meteors motion?
(10 brainly points)
The statement that describes the meteor's motion will be A. Its velocity was 7.8 km/d northward.
How to illustrate the information?It should be noted that based on the information given, the the meteors moving 468 km per minute
Also, the meteor was 45m wide from it.
Therefore, it should be noted that the reason that it wasn't visible was because it wasn't within it's range. This was illustrated as the fact that the velocity was 7.8 km/d northward.
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Let U= {q, r, s, t, u, v, w, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C= {v, w, x, y, z}
Determine the following.
11) CnA =
Answer:
CnA= {w, y}
Step-by-step explanation:
hope it helps
Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: points are at 1 and 4. Everything between the points is shaded. Graph B: Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Graph C: Open circles are at 1 and 4. Everything between the points is shaded. Graph D: Open circles are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded. Which number line represents the solution for the inequality |2x – 5| Greater-than-or-equal-to 3? graph A graph B graph C graph D
The number line which represents the solution of the given absolute value inequality is |2x – 5| ≥ 3 is graph B : Points are at 1 and 4. Everything to the left of 1 and to the right of 4 is shaded.
What are absolute value inequalities?An absolute value inequality is an equation of the form |p| ≥ a or |p| ≤ a
where p and are mathematical expressions.
Absolute rule for solving inequality: if |p| ≥ a then solution is p ≤ (-a ) or
p ≥ a
Now for the given inequality |2x – 5| ≥ 3 , applying above absolute rule we get :
(2x-5) ≤ -3 and (2x-5) ≥ 3
For 2x-5 ≤ -3
Adding 5 on sides we get: 2x-5+5 ≤-3+5
2x ≤ 2
On dividing both sides by 2: (2x/2) ≤ (2/2)
x ≤ 1
which means that x are all number less than or equal to 1
On the number line, everything to left of 1 and point 1 on the number line
Now, For 2x-5 ≥ 3
Adding 5 on sides we get: 2x-5+5 ≥ 3+5
2x ≥ 8
On dividing both sides by 2: (2x/2) ≤ (8/2)
x ≥ 4
which means that x are all numbers greater than or equal to 4
On the number line, everything to right of 4 and point 4 on the number line
Therefore, Graph B is the right answer which says that points are at 1 and 4 ,everything to the left of 1 and to the right of 4 is shaded.
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How many terms are there in the following sequence?
19, 21, 23, ..., 53
Answer: 10
Step-by-step explanation:
There are 16th term in sequence.
What expression is equivalent to 1/64
Answer:
1 ÷ 64
Step-by-step explanation:
help 50 points! Which table represents y as a function of x?
The first table represents y as a function of x.
How do We Determine a Table that Represents a Function?If a table represents a function, each of the x-values will have only one possible y-value that corresponds to it, however, two different x-values can have the same y-value.
All the tables, except the first table, have x-values that have more than one y-value assigned to it.
The first table have exactly one y-value that corresponds to each of the x-values. Therefore, the first table represents y as a function of x.
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calculate double 3 then subtract 2
3x3=6
6-2=4.
Thats the answer!!! yayayayayayayayaya
The data represented by the following stem-and-leaf plot range from_____ to _______. A. 61;91 B.
Answer: well i do not know
Step-by-step explanation: of well
Show that the number is rational by writing
it as a quotient of two integers: 22
our number can be written as 44/2 = 22, the quotient between two integers, thus, our number is rational.
How to show that a number is rational?
A number is rational if it can be written as the quotient between two integer numbers.
In this case, we want to prove that the number 22 is rational, so we just need to find two integers that, when we take the quotient between them, the outcome is 22.
This is kinda trivial, if we take for example the product between 22 and any integer, for example, 2, we get:
22*2 = 44
Solving for 22 we get:
22 = 44/2
There is our number written as the quotient between two integers, thus, our number is rational.
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eddie spends £2.75 on cake and £1 on groceries and has 2/3 left over how much did he start with
answer:
£11.25
explanation:
2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.
Henry’s mom made fruit arrangements for a party. She made 3 times as many strawberry arrangements as pineapple arrangements. Henry’s mom made a total of 20 arrangements. How many arrangements if each type did Henry’s mom make? Complete the bar model. Write an equation and solve
Answer:
15 strawberry arrangements, 5 pineapple arrangements
Step-by-step explanation:
First, you come up with an equation based on the problem:
3x+x=20
Then you simplify:
4x=20
Now you divide 20 by 4 to get the answer 5 FOR X
Still you have to find out the strawberry arrangements
Since it is three times, multiply 5 and 3 to get 15
5 strawberry arrangements, 5 pineapple arrangements
Simplify the expression below.
(4+7i)-(3-2i)
Answer: 1+9i
Step-by-step explanation:
(4+7i)-(3-2i)=
4+7i-3-(-2i)=
4+7i-3+2i=
4-3+7I+2I=1+9i
Find the letter that will be entry #123 in the sequence.
C,S,S,S,S,S,C,S,S,S,S,S
The letter at entry #123 will be S for the sequence C,S,S,S,S,S,C,S,S,S,S,S
The given sequence of letters is C,S,S,S,S,S,C,S,S,S,S,S
As per the given sequence, there are 12 letters in the sequence. To find the letter at #123 we continue the sequence till entry #120 or 10 iterations, the sequence will remain the same i.e C,S,S,S,S,S,C,S,S,S,S,S and then find the next 3 letters
So for entry #123, we will get the following value as per the sequence:
C,S,S
Hence, the letter at entry #123 will be S as per the given sequence of letters.
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A father is three times as old as his son. After 4 years, his age will be 4 times his son's age. Find their present ages.
Use the Venn diagram shown to answer the question below.
U
IV
II
VII
VI
B
III
VIII
Which regions represent set C?
The Venn diagram shown to IV, V, VI, VII regions are represent set C.
It is given that the wind diagram we need to find the regions represent the set.
See from the diagram it shows that the regions IV, V, VI, VII represent us, etc.
What do you mean by Venn diagram?A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
So from the Venn diagram, the set C represents the regions four, five, six and seven.
Therefore, she can be written us for Union Fight, Union Six, Union Seven. Therefore, we concluded that the regions represent see R. C.
Which is equal to for Union Fighting Union Six, Union Seven.
We have here, region represent C
C ⇒ Union from C
Here, IV, V, VI, VII these are lie on C.
So, IV, V, VI, VII represents C.
Therefore, the Venn diagram shown to regions represent set C is IV, V, VI, VII.
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The average score of local students on a college entrance exam is 110 with standard deviation of 15. The distribution is roughly bell-shaped. What is the percentage of local student with score between 80 and 125? Use the empirical rule to find the following percentage. 95% 88.5% 68.5% 81.5%
Answer:
the average score of local students on a collage entrance exam is 110
with standard deviation of 15. The distribution is roughly bell shaped . The percentage of local students with score between 0 and 125
Step-by-step explanation:
Answer:
Step-by-step explanation: