The values of ||-10v|| is 51.96 units
Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]
Hence the values of ||-10v|| is 51.96 units
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Answer:
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Dev has a monthly food budget of $182. He maps the amount of money,x, he spends each month to the number of food items he buys. What are the constrains on the domain?
Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:
x is of at least $0.x is of at most $182.The domain of a function is the set that contains all possible values for the functions.
In this problem, the input of the function is how much he spends on food.
His budget is of $182, hence, considering this and the fact that he cannot spend a negative amount on food, the constraints are that x is between $0 and his budget of $182(inclusive), and the domain is [tex]0 \leq x \leq 182[/tex].To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115
The domain of a function is the set of input values the function can have.
The constraints on the domain are: the amount (x) is at least $0, and it is at most $182
From the question, Dev's budget on food is given as:
[tex]Budget = \$182[/tex]
This means that, he cannot spend more than $182.
Represent the amount with x.
So, we have:
[tex]x \le 182[/tex]
Also, he cannot spend a negative amount.
So, we have:
[tex]x \ge 0[/tex]
So, the domain is:
[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]
Rewrite as:
[tex]0 \le x[/tex] and [tex]x \le 182[/tex]
Combine both inequalities
[tex]0 \le x \le 182[/tex]
Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182
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Which equation demonstrates the multiplicative identity property?
(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i
Answer:
C (-3 + 5i) (-3 + 5i) = -16-30i
Step-by-step explanation:
EDGENUNITY
PLEASE HELP ME WITH GEOMETRY
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
Can you simplify these two?
5 points for each.
Answer:
See attached files.
The answers are there.
The perimeter of a rectangular floor is 240 feet. Find the dimensions of the floor if the length is three times the width
The floor has a length of feet and a width of feet.
Answer:
length: 90 ft
width: 30 ft
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 120 ft. The length is 3/(3+1) = 3/4 of the sum, so is (3/4)(120 ft) = 90 ft. The width is 120 ft -90 ft = 30 ft.
The floor has a length of 90 feet and a width of 30 feet.
What is the gradient?
Answer:
The gradient is negative.
Step-by-step explanation:
The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Answer:
angle BEC is congruent to angle FEG (vertical opposite angles)
other than that, I'm not sure if the other angles are congruent bc of their marks.
Step-by-step explanation:
I need some urgent help please
Answer:
124°
Step-by-step explanation:
180°( n - 2 )
180° ( 5 - 2 ) = 540°
( 2x - 3 )° + ( 3x - 2 )° + 2( 3x - 4 )° + ( 2x + 7 )° = 540°
( 2x + 3x + 6x + 2x ) + ( - 3 - 2 - 8 + 7 ) = 540
13x - 6 = 540
13x = 546
x = 42
3(42) - 2 = 124°
Find two numbers the quotient is between . Then estimate quotient. 41 divided by 3
Answer:
13.6
Step-by-step explanation:
The quotient is the outcome of a division problem so it is what 41 divided by 3 equals. Which it equals 13.666 in short 13.6
find the answer
fast
Answer:
i) 5y
Ii) 5y-3
iii) 5y×6
Iv)
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?
PLEASE HELP
no linkss
Answer:
-5.2, -4.75, -9/2
Step-by-step explanation:
How can you identify the number of solutions of linear equations?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
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If there are 80 shirts - 30%are blue and 40%are red how many
are white
Answer:
24
Step-by-step explanation:
30%+40%=70%
100%-70%= 30%
what's 30% of 80?
80×0.3= 24
lf the exchange rate of 1 dollar is Rs 72.45. how many dollars exchanged for Rs 1449 ?
Step-by-step explanation:
solution
here,
1 dollar = rs 72.45
or, 1/72.45 dollars= rs 1
or, rs 1 = 1/72.45 dollars
now,
rs 1449= 1449/72.45 dollars
or,rs1449= 20 dollars
therefore, 20 dollars can be exchanged for rs 1449
Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many hundredths would there be in each of the division groups? Ο Α. 1 O B. 2. O C. 5
Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.
The number of hundredths in each division set is D. 9Reasons:
The given Hunter's model consists of the following
One 10 × 10 number block
Four sets of a column of 10 cubes
Five individual cube pieces
Therefore;
In 1.45, we have;
1 unit
4 tenths
5 hundredths
Which gives;
Each single cube can be used to represent a hundredth in 0.05
One cube = 0.01
Each set of 10 cubes represents a tenth in 0.4
Each block of 10 by 10 can be used to represent the unit; 1
Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each
The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08
The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.
Therefore;
The value of each division set is 0.2 + 0.08 + 0.01 = 0.29
The number of hundredths in 0.29 = 9
The number of hundredths in each division set is therefore; D. 9
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Which inequality represents this statement?
The product of −6 and a number is no less than −12.
−6n≤−12
−6n>−12
−6n≥−12
−6n<−12
Answer:
−6n≥−12
Step-by-step explanation:
The correct inequality to show the given statement is,
⇒ - 6n ≥ - 12
Where, 'n' is any number.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The statement is,
''The product of - 6 and a number is no less than - 12.''
Now, Let a number = n
So, We can formulate the correct inequality is,
⇒ - 6n ≥ - 12
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Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position.
a(t) = -24; v(0) = 17, s(0) = 0
s(t) =
Answer:
Position function is [tex]s(t)=-12t^2[/tex]
Step-by-step explanation:
Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].
Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].
Write the word sentence as an equation. Then solve.
The sum of a number a and 12 is -6.
Answer:
a + 12 = -6 , a = -18
Step-by-step explanation:
Hi there!
the first half of the statement says “the *sum* of a number a and 12, so we can write that as a+12. The second half of the statement says that the sum of both of those values is -6, meaning that a + 12 = -6. Knowing this, we can now solve. In order to isolate a, subtract 12 from both sides of the equation. You will be left with a = -18.
Hope this helps!
Which of the following is equal to 7 1/4?
Answer:
C
Step-by-step explanation:
[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]
Which term has the definition "A relationship in which two variables change at the same rate
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I am giving brainliest
Can someone check my answer?? PLEASE-
The length of a rectangle is six more than the width. If the perimeter of the rectangle is 40 ft, find the length of the rectangle.
A. 13 ft (what I think) ****
B. 7 ft
C. 23 ft
D. 17 ft
Answer:
the length of the rectangle is 13 ft.
Step-by-step explanation:
width of a rectangle x ft
length of a rectangle x+6 ft
the perimeter of the rectangle is 40 ft,
2(x+x+6) = 40
2x+6 = 20
2x = 14
x = 7
So the length of the rectangle is x+6 = 7+6 = 13 ft
congrats you're right (≧▽≦)!!
Answer:
The correct answer ia A)13 ft
Step-by-step explanation:
hope this helps
I need help I need help
Answer: The are of the triangle is 42 because 9=9=9 is 42 look i just want points
Step-by-step explanation:
in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the votes would vote the same way again
An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?
Answer:
Rs 500
Step-by-step explanation:
For cost c, the price that gives a 5% profit is ...
c + 5%·c = 1.05c
The price that gives a 5% loss is ...
c -5%·c = 0.95c
The difference of these prices is Rs 50:
1.05c -0.95c = 50
0.10c = 50 . . . . simplify
c = 500 . . . . . . . divide by 0.1
The cost price of the article is Rs 500.
V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?
Answer:
x=1
Step-by-step explanation:
If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.
x+8=9x
8=8x
x=1
Determine the slope from the given graph below:
A ⇹ The slope is -7
B ⇹ The slope is−16
C ⇹ The slope is 6
D ⇹ The slope is -6
Step-by-step explanation:
although there is no graph visible here, I suspect this is the same question as I just answered twice already.
the slope is -6.
D is the right answer.
Which statement is true about the function f(x)= Vx?
O The domain of the graph is all real numbers.
O The range of the graph is all real numbers.
O The domain of the graph is all real numbers less than or equal to 0.
O The range of the graph is all real numbers greater than or equal to 0.
Answer:
The statement "the range of the graph is all real numbers greater than or equal to 0" is true.
Step-by-step explanation:
As the function is given by
As we know that the domain is the set of all possible input values or all x -values that a function passes through. In other words, domain consists of all the possible input values shown on the x-axis.
Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.
For the given function
The domain of the given function
The domain of can also be written as: {x | x ≥ 0}
It means the domain of the graph of this function is all real number greater than or equal to 0.
The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.
Please check the attached graph as shown in figure a, to visualize the domain and range of
From the graph.
it is visible that the range of the given function
The range of can also be written as: {y | y ≥ 0}
In other words, for every input value in the domain of this function, the range of will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.
So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.