The equivalent value of the complex number 5i² will be -5.
What is a complex number?The number can be written in the form of a+bi and is called a complex number. The complex number consists of two parts first is the real part and the second is the imaginary part.
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given complex number is 5i². The equivalent expression can be written as:-
E = 5i²
E = 5 x ( -1 )²
E = 5 x -1
E = -5
Therefore, the complex number 5i² has an equivalent value of -5.
To know more about complex numbers follow
https://brainly.com/question/675673
#SPJ2
1. Amber works at the doggy daycare after school.
A. Use the information in the photograph to complete the table and make a graph of the data.
B. Is the relationship between the amount Amber earned any number of hours a proportional relationship?
Explain.
C. What point represents the constant of proportionality?
D. What is the ratio y/x for each point on the graph?
please help me
no links or files
thank you !
A.)
From the table ;
We could deduce, that the value of y increases as x increases : this could mean a direct variation :
y α x
y = kx
k = constant of proportionality
k = y/x
Missing value of x in the table could be inferred to be 4
Find k., when x = 4 and y = 32
k = 32/4
k = 8
Hence :
Values of y :
For x = 1
y = 8 × 1 = 8
For x = 2
y = 8 × 2 = 16
For x = 3
y = 8 × 3 = 24
For x = 5
y = 8 × 5 = 40
The table :
x __ 0 __ 1 __ 2 __ 3 __ 4 ___ 5
y __ 0 __ 8 _ 16 __24 _ 32 __ 40
B.)
The relationship between amount earned and number of hours is proportional as values obey the proportionality relationship shown in A.
C.)
The point which represents the constant of proportionality should have a y value of 8 :
Hence, the point is 1.
D.)
The y/x ratio :
Point 0 :
y/x = 0/0 = 0
Point 1 :
y/x = 8/1 = 8
Point 2 :
y/x = 16 /2 = 8
Point 3 :
y/x = 24/3 = 8
Point 4 :
y/x = 32 / 4 = 8
Point 5 :
y/x = 40 / 5 = 8
Learn more : https://brainly.com/question/19775117?referrer=searchResults
If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
the divided will be 457.80 and divisor will be 17
Step-by-step explanation:
In a sample of students, 125 said they exercise on a regular basis. How large was the sample if 27.3% said they exercised on a regular basis?
First, let's declare a variable
x = # of students
Now, let's create an equation to model the problem.
x * 0.273 = 125
Divide both sides by 0.273
x = 457.8 = 458 students.
Note, I rounded to the nearest whole number.
Luthan Company uses a plantwide predetermined overhead rate based on direct labor-hour. A cost formula that estimated $2,20,000 of total manufacturing overhead cost for an estimated activity level of 11,000 direct labor-hours. The company incurred actual total manufacturing overhead cost of $228,000 and 10,800 total direct labor-hours during the period. Determine the amount of manufacturing overhead cost that would have been applied to all jobs during the period.
Answer:
2,16,000
Step-by-step explanation:
Predetermined overhead rate is based on 11,000 direct labor hours.
The rate is 220,000/11,000 =20$
Since the actual activity is less than the standard labor hours, that is actual labor hours = 10,800
Thus, actual overheads to be applied based on predetermined rate shall be = Rate determined *actual hours
= $20*10,800 = $216000
which graph represents this equation y= -1/2 (2x)
need this as soon as possible
Answer:
were it goes straight thro the 0
Step-by-step explanation:
What is 100 minutes divided by 10 minutes plus 5 minutes.Heeeeeeellllllllllllppppppppppp
Answer:
15 minutes
Step-by-step explanation:
100 devided by 10 is 10. 10 plus 5 is 15
The sum of a number and 4
Answer:
n+4
Hope this helps!
(sets)
Use U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {2, 3, 4), B = {4, 7, 8, 9), and C = {3, 4, 9} to find the given set.
AUB
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. ĀUB = { }
(Use a comma to separate answers as needed.)
B. The solution is the empty set.
A={2;4;9}
U={1;2;3;4;5;6;7;8;9;10}
If one point on a line is (6,3) and the line's slope is
5/6 find the y-intercept.
The y-intercept is
(Type an ordered pair. Simplify your answer.)
What is the closest side lenght of this square? Area=99 square units
Answer:
3[tex]\sqrt{11}[/tex]
Step-by-step explanation:
[tex]\sqrt{99}[/tex] = 3[tex]\sqrt{11}[/tex]
The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Katie needs to solve the equation below for b.
Which-correctly describes the first step?
60 - 3b = 27
Answer:
I can't see the options of steps you have but here is my answer. First step is to subtract 60 from both sides so that leaves you with -3b= 60-27.
Answer Please. The question is m
Answer:
136 Degrees
Step-by-step explanation
Set up as (3x+11) + (5x-9) = 90
then solve for x using algebra.
you can do this because angle NSO and RSQ are eqaul once you know x you will be able to solve all the other angles and subtract from 360 (the total angle) to find NSR.
Steps:
3x+11+5x-9 = 90
8x+2=90
x= 11
Solve 3(11)+11 = 44
add known angles:
44+90+90 = 224
360-224 = 136 degrees
We use concepts like complimentary angles and vertical angle theroem.
Find the distance between the points.
(3/2, 4/3), (1, -1)
Units=?
Answer:
I believe there are 5 units
Which expression(s) have positive values? Choose
don't have to simplify)
1. [(-730)
2. [-(-73)
3. - (75)
4.-|-(-701
Having a hard time understanding this.
Even is positive and negative is odd?
9514 1404 393
Answer:
2. -(-73) is positive
Step-by-step explanation:
It's not too difficult, but you can get wrapped around the axle. Here are the rules:
the opposite of a positive number is a negative numberthe opposite of a negative number is a positive numberThat is, turning a number to its opposite is just changing its sign.
__
If you layer these rules, you find ...
the opposite of (the opposite of a positive number) is a positive number
The first rule tells you the statement in parentheses is a negative number, and the second rule tell you its opposite is a positive number.
That is, a double opposite gets you back where you started. In short, any even number of minus signs cancel each other.
__
The numbers you have listed here* are ...
-730 (negative)-(-73) = 73 (positive)-75 (negative)-(-(-701)) = -701 (negative)_____
* We say "listed here" because we're seeing mismatched parentheses and brackets, so we know something is missing. We're going by the signs and numbers that we do see. YMMV
Airfare for the Greenwald's vacation costs $205.74 per person. If there are 4 family members going on vacation, how much are the airline tickets going to cost?
A. $822.96
B. $51.44
C. $56.74
D. $800.86
Answer: the answer should be A. $822.96
Step-by-step explanation:
About how many pounds does a 2-kilogram bag
of potatoes weigh?
Answer:
4.41 pounds :(
Step-by-step explanation:
which number is located the same distance on a number line -5 as -13 is
Answer:
-8
Step-by-step explanation:
If x represents the first, or the smaller, of two consecutive odd integers, express the sum of the two integers in terms of x.
The answer is
(Simplify your answer.)
Answer:
2x + 3
Step-by-step explanation:
1) x+1
2) x+3
x+1+x+2 = 2x + 3
how do I find the area?
to find area multiple length into breath
A total of 920 widgets are being packed and shipped in boxes that hold a maximum of
7 kilograms each. Each widget has a mass of 70 grams. What is the minimum number of boxes
needed to pack and ship the entire order of widgets?
A. 8 B. 9 C. 10 D. 14
Answer:
10
Step-by-step explanation:
1 widget = 70g
920 widgets = 70×920 = 64400g / 64.4kg
7kg held in 1 box how about 64.4kg how many boxes will hold it
64.4/7 = 9.2 boxes technically we don't have .2 box so this gives 10 boxes
Evaluate the expression 3t + 5 when t = 10.
Simply type the final result in simplest form.
Answer:
35
Step-by-step explanation:
3(10)+5
First multiple 3•10 which is 30
30+5
then add 30 to 5
35
Find the radius and the center of the circle with the given equation x^2+y^2−8x−2y=48.
Step-by-step explanation:
x²+y²−8x−2y=48
the radius => √[(8/2)² + (2/2)² +48] =
√(16+1+48) =√65
the center => (8/2, 2/2)
=> (4, 1)
Question 9 (5 points)
image
The measure of arc CD is 175°. Determine the measure of ∠DBC.
Question 9 options:
1)
175°
2)
87.5°
3)
5°
4)
350°
Answer:
175 degrees!!!!!!!!
Step-by-step explanation:
Use your knowledge of the definitions of validity, soundness, strength, and cogency to determine which of the following statements are true.
a) To check an argument's deductive validity, you should first ask whether the argument is sound.
b) Some inductive arguments are neither cogent nor uncogent.
c) If a deductive argument has false premises and a false conclusion, then the argument could be valid.
d) All strong inductive arguments are equally strong.
e)An inductive argument cannot be both weak and uncogent.
f) If an argument is deductively valid and has premises that are all true, then the argument is cogent.
g) All deductive arguments are either completely valid or completely invalid.
h) To have a cogent inductive argument, the premises must not ignore a piece of evidence that would require a different conclusion.
i) If an argument is deductively valid, then at least one of its premises must actually be true.
j) A statement that is true is a sound statement.
k) No sound deductive arguments are invalid arguments.
l) If a deductive argument is unsound, the argument's premises cannot all be true.
m) If an inductive argument is strong, then the argument's conclusion must be true.
n) A weak inductive argument cannot be cogent.
o) In an invalid deductive argument, it is impossible for the premises to be true and the conclusion to be false simultaneously.
Answer:
In chemistry, an element is a pure substance consisting only of atoms that all have the same numbers of protons in their atomic nuclei. Unlike chemical compounds, chemical elements cannot be broken down into simpler substances by chemical means. Wikipedia
The sum of twice a number and half the number is 10.
Answer:
20?
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]2x + \frac{x}{2}=10\\\\\boxed{x=4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Setting up an Equation...}}\\\\\text{"The sum of twice a number..."}} \rightarrow 2x+\\\\\text{"And half the number..."}\rightarrow \frac{x}{2}\\\\\text{"is 10"}\rightarrow = 10\\\\\\2x +\frac{x}{2}=10[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2x + \frac{x}{2}=10\\----------------------\\\rightarrow (2x + \frac{x}{2})2=10*2\\\\\rightarrow 4x + 2 = 20\\\\\rightarrow 5x = 20\\\\\rightarrow \frac{5x=20}{5}\\\\\boxed{x=4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch,or a square with side length of 2 and 1/2 inches? Show your reason?
Answer:
The square has the greatest area.
Step-by-step explanation:
Reason:
Rectangle: The area is 5.25 in2
3/4= 0.75
7 in x 0.75 in= 5.25 in2
Square: The area is 6.25 in2
2 1/2= 2.5
2.5 in x 2.5 in= 6.25 in2
RS = 3x - 16, ST = 4x - 8, RT = 60
Answer:
RS = 20
ST = 40
Step-by-step explanation:
R____S____T
RS + ST = RT
3x - 16 + 4x - 8 = 60
3x + 4x - 16 - 8 = 60
7x - 24 = 60
+24 +24
--------------------------------
7x = 84
/7 /7
---------------------------------
x = 12
Let's use what we got for x to find the length of ST and RS
ST = 4x - 8
= 4(12) - 8
= 48 - 8
ST = 40
RS = 3x - 16
= 3(12) - 16
= 36 - 16
RS = 20
so, RS = 20, ST = 40, and RT = 60
Answer:
RS = 20 and ST = 40
Step-by-step explanation:
x = 12
use this to find RS and ST by plugging in to their equations.
The correct way to solve an expression is to work the problem from left to right. True or False?
Answer:
true
Step-by-step explanation:
The statement 'The correct way to solve an expression is to work the problem from left to right.' is True.
What is an expression?"It is a combination of numbers, variables and mathematical operations."
What is order of operations?"It is a rule that states the sequence in which the multiple operations in an expression should be solved."
For given question,
To solve an expression we use PEMDAS ordering.
This means, first we solve parentheses, then solve exponents, then perform all multiplications and divisions from left to right and lastly perform addition and subtraction, from left to right.
This means, to solve an expression work the problem from left to right.
Therefore the statement 'The correct way to solve an expression is to work the problem from left to right.' is True.
Learn more about the PEDMAS here:
https://brainly.com/question/24086845
#SPJ2
HOW DO I SIMPLIFY THIS EXPRESSION? -|-2|
Answer:
the lines covering the -2 are the absolute value sign. the absolute value of a number is always positive. so positive of -2 is 2 and -1 times positive 2 is -2
its -2
Step-by-step explanation:
Answer:
+2
Step-by-step explanation:
two negatuves make a posotive so -(-2)
+ 2
What is place value of 312.054
Answer:
word form: three hundred twelve and fifty-four thousandths
3=hundreds place
1=tens place
2=ones place
0=tenths place
5=hundredths place
4=thousandths place
hope this helps
