Answer:
Step-by-step explanation:
Given the complex notations a = 5i + j, b = i − 2j, we are to evaluate the following:
1) a + b
= 5i+j + (i-2j)
= 5i+j+i-2j
collect like terms
= 5i+i+j-2j
= 6i-j
Hence a+b = 6i-j
2) 2a+3b
= 2(5i+j) + 3(i-2j)
open the parenthesis
= 10i+2j+3i-6j
collect like terms
= 10i+3i+2j-6j
= 13i-4j
Hence 2a+3b = 13i-4j
3) |a| = √x²+y²
Given a = 5i+j; x = 5, y = 1
|a| = √5²+1²
|a| = √25+1
|a| = √26
4) |a-b|
First we need to calculate a-b
= a - b
= 5i+j - (i-2j)
open the parenthesis
= 5i+j-i+2j
collect like terms
= 5i-i+j+2j
= 4i-3j
|a-b| = √4²+(-3)²
|a-b| = √16+9
|a-b| = √25
|a-b| = 5
(50 points)Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal? A.60 ≤ x ≤ 100 B. 60 ≤ x ≤ 300 C. 100 ≤ x ≤ 300 D.20 ≤ x ≤ 100 how do you solve this question need help please explain
Answer:
A
Step-by-step explanation:
5 X 60 = $300
she only needs to sell 60 bracelets, but sell up to 100
60 ≤ (must sell 60) x (number of bracelets she sells) ≤ 100 (number of bracelets she can sell)
hope this helps! sorry for being a bit late!
What is a number divided by 9
The common fraction for 4.759
20 = –4t I need the answer asap
Answer:
[tex]t=-5[/tex]
Step-by-step explanation:
Let's solve this equation.
[tex]20=-4t[/tex]
Let's turn it around.
[tex]-4t=20[/tex]
Let's make this into a fraction and divide each side by -4
[tex]\frac{-4t}{-4} =\frac{20}{-4}[/tex]
And the answer is
[tex]t=-5[/tex]
Hope this helps!
If km = 67 what is LM
Answer:
LM = 28 units
Step-by-step explanation:
Length of segment KL = (4x + 7) units
Length of segment LM = (5x - 12) units
Length of LM = 67 units
Since length of KM = length of KL + length of LM
By substituting the given values in the expression,
67 = (4x + 7) + (5x - 12)
67 = (4x + 5x) + (7 - 12)
67 = 9x - 5
9x = 67 + 5
x = [tex]\frac{72}{9}[/tex]
x = 8
Therefore,
LM = (5x - 12)
= (5×8) - 12
= 40 - 12
= 28
Length of segment KM is 28 units.
the product of three integers is -600 if two of them are -15 and 10 ,then find the third integer
Answer:
4
Step-by-step explanation:
-15 times 10 equals -150
-600 divided by -150 equals 4
Answer is 4
hope this helps you :)
It takes Michael 0.30 hours to walk to school. How many seconds does it take him to walk to school?
Answer:
1080 seconds
Step-by-step explanation:
We need to multiply the 0.3 hours by 3600 to convert it to seconds.
0.3*3600=1080
Answer:
1200 sec
Step-by-step explanation:
.30 hours is equal to 20 minutes
60 sec in 1 min
60x20
6x2=12
1200
What is another way to name line l?
Answer:
Line UM.
Step-by-step explanation: you can name a line by naming at least two points on it.
Line l can be called line UM, line LM, and line UL because line l is contained in plane S.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
m is the ratio of the line,
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases.
It is given that:
A plane S contains a line l.
It is possible to give a name for line l in different ways.
The line l can be called:
Line UMLine LMLine ULLines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
Thus, line l can be called line UM, line LM, and line UL because line l is contained in plane S.
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what is 7 1/3 as a improper fraction
Answer:
22/3
Step-by-step explanation:
First, I multiplied 7 and 3 because 7 is the whole number and 3 is the denominator of the fraction.
7*3=21
Then, I added 21 to 1 because 1 is the numerator in the fraction.
21+1=22
Finally, I made it 22/3 because the denominator of the fraction is 3.
So, your final answer is 22/3.
[tex]$7\frac{1}{3}[/tex] as a improper fraction can be written as 22/3.
What is fraction? What are mixed fractions?A fraction is expressed in the form of {x/y}, where {y ≠ 0}. For example, we can write 2.3 in the form of fraction as : 2.3 = 23/10 and, we can write 2.2 in the form of fraction as : 2.2 = 22/10 = 11/5Mixed fractions are of the form : [tex]$x\frac{y}{z}[/tex]We can simplify them as : (z × x + y}/zGiven is to write 7 1/3 as a improper fraction.
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. We can write that for a fraction {x/y} to be improper, the following conditions should be fulfilled -
{x} > {y}
or
{x} ≥ {y}
We can write 7 1/3 as a improper fraction as -
[tex]$7\frac{1}{3}[/tex] = [tex](3\times7+1)/3[/tex] = [tex]$\frac{22}{3}[/tex]
Therefore, [tex]$7\frac{1}{3}[/tex] as a improper fraction can be written as [tex]$\frac{22}{3}[/tex].
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n = 3 (m+7); m
I’m so confused, please help
Answer:
[tex]m=\frac{n}{3} -7[/tex]
A book has 89 pages, but the page numbers are printed incorrectly. Every third page number has been omitted, so that the pages are numbered 1,2,4,5,7,8,... and so on. What is the number on the last printed page?
Answer:
89
Step-by-step explanation:
There are only 30 pages but last page number is 89.
The last page of the book would be with the number 89. For details, check the calculations below.
Number SystemThe number system is characterized as the arrangement or sequence in which the numbers are arranged in a mathematical order beginning from 0 in whole numbers.
In the given situation,
We know that,
Total pages available in the book = 30
And every third page is omitted from the book due to misprinting of the page numbers.
If we divided 90/3 = 30 pages are there. Hence, the last page would be 89 itself.
Thus, the above response is correct.
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If 4700 bricks each of size 25 cm x 16 cm x 10 cm are required to construct a wall
20 m long and 20 cm wide containing two windows of size 2 m X 1.5 m each, find
the height of the wall.
Answer:
970 cm
Step-by-step explanation:
Given that:
Size of brick :
25cm × 16cm × 10cm
Number of bricks = 4700
Dimension of wall = 20 m long × 20 cm wide
Let the height = h
Hence, dimension of wall (length and height)
2000 cm × h
Dimension of window = 2m × 1.5m = 200cm × 150cm
Number of windows = 2
Total area covered by windows = 2 * (L * B)
= 2(200 * 150) = 60,000cm
Brick = (25 * 16) * 4700 = 1, 880, 000 cm ( length and height)
Wall = 2000 * height - 60,000 = 1880000
2000height - 60,000 = 1880000
2000height = 1880000 + 60,000
2000height = 1940000
Height = 1940000 / 2000
Height of wall = 970 cm
The quotient of a number squared and four?
Answer:
n^2/4
Step-by-step explanation:
If n is the number, squared is n^2
Quotient if this number and four is
n^2/4
The quotient of a number squared and four will be n² / 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The square of a number is the multiplication of that number with itself.
Let the number be n.
Then the square of the number n will be given as,
⇒ n²
The quotient of a number squared and four will be given as,
⇒ n² / 4
Thus, the quotient of a number squared and four will be n² / 4.
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determine any data values that are missing from the table assuming that the data represent a linear function
Answer:
I think D
Step-by-step explanation:
I hope it's right and I hope you mark me brainlist
Answer:
the answer is b. missing x:1 missing y:2
Step-by-step explanation:
A 24-ft chain must be cut into two pieces so that one piece is twice as long as the other. Find the length of each piece of chain.
Answer:
8ft and 16ft
Step-by-step explanation:
you guess and check till you reach the answer
1+23 5+19
2+22 6+18
3+21 7+17
4+20 8+16
how would you solve for 5x=13 for x
Answer:
divide by 5: x = 13/5 = 2.6
Step-by-step explanation:
Make use of the properties of the multiplicative inverse and the multiplication identity element. Multiplying both sides of the equation by the multiplicative inverse of the coefficient of x makes the result be 1x on the left side.
(1/5)(5x) = (1/5)(13)
1x = 13/5
The multiplicative identity element (1) does not change the value of what it multiplies, so this simplifies to ...
x = 13/5
_____
Effectively, we divide (both sides) by 5.
Need help with this question
Answer:
i cant see it
Step-by-step explanation:
umm
rewrite 4x4x4x4x4 using a exponent can someone please help me
Answer:
4 to the 5th power
Step-by-step explanation:
since 4 is being multiplied by itself 5 times, then 5 becomes the exponent :)
The exponential form of the expression is [tex]4^5[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4 x 4 x 4 x 4 x 4
There are five 4's.
So,
= [tex]4^5[/tex]
Thus,
The exponential form is [tex]4^5[/tex].
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When looking at the Cov-19 data globally, it shows that 34 out of 50 (which is 68%) confirmed cases of infected people have recovered already. If that 68% holds true everywhere, answer the following: If a US state had about 56,000 confirmed cases, about how many people should have recovered?
Answer:
____________________
68% of 56000 is 38080.
I guess that'd be the amount of people that recovered.
____________________
MATH HELP! 22 points
Answer:
im sorry
Step-by-step explanation:
The answer is 37. Use addition multiplication and must have a fraction showing the equation
that is correct because 37/ one and 37×1
this is the correct answer
You are riding a roller coaster, your velocity is 13 feet per second
Which statements correctly compare the sum and product? Check all that apply. 1. Both functions have a constant rate of change. 2. The sum is linear and the product is quadratic. 3. The x-intercepts are the same. 4. The sum has one y-intercept and the product has two x-intercepts. 5. Both functions decrease for x > 2
Answer:
Step-by-step explanation:
B) the sum is linear and the product is quadratic
D) the sum has one y-intercept and the product has two x-intercepts
The sum is linear and the product is quadratic and The sum has one y-intercept and the product has two x-intercepts are two statements which compare the sum and product
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find the statements which correctly compare the sum and product
The given statements are
1. Both functions have a constant rate of change.
2. The sum is linear and the product is quadratic.
3. The x-intercepts are the same.
4. The sum has one y-intercept and the product has two x-intercepts.
5. Both functions decrease for x > 2
A linear function simply means a function that represents a straight line on the coordinate plane.
In this case, the sum is linear and the product is quadratic while the sum has one y-intercept and the product has two x-intercepts.
Hence, the sum is linear and the product is quadratic and The sum has one y-intercept and the product has two x-intercepts are two statements which compare the sum and product
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Does meditation cure insomnia? Researchers randomly divided 400 people into two equal- sized groups. One group meditated daily for 30 minutes, the other group attended a 2-hour information session on insomnia. At the beginning of the study, the average difference between the number of minutes slept between the two groups was about 0. After the study, the average difference was about 32 minutes, and the meditation group had a higher average number of minutes slept. To test whether an average difference of 32 minutes could be attributed to chance, a statistics student decided to conduct a randomization test. She wrote the number of minutes slept by each subject in the study on an index card. She shuffled the cards together very well, and then dealt them into two equal-sized groups. Which of the following best describes the outcome?
Answer:
this is very long be shot question
Step-by-step explanation:
The best outcome will be that the average difference between the two sacks will be about Zero minutes.
Randomization TestAs per the question, at the beginning of the study the average difference was seen as 0 minutes, but after the experiment the average difference was of 32 minutes.
To Cross examine the study result, the researcher recorded the number of minutes slept on an index card and shuffled the cards into two equal parts. There can be three outcomes of this test, these are:
The average difference will be about 0 minutes. The average difference will be more than 32 minutes.The average difference will be about 32 minutes.There is three outcomes because of shuffling of the cards.
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Delta pays Pete Rose $280 per day to work in the maintenance department at the airport. Pete became ill on Monday and went home
after of a day. What did he earn on Monday? Assume no work, no pay. (Do not round intermediate calculation.)
Answer:
5x280=1400
Step-by-step explanation:
$1400
if he works on the weekends then add 580
s0 $1980
Help i dont understand pls help :(
Answer:
It is indefinite. The value of x is not fixed and continuous in this function. It will keep on changing with the change in y ..
If the circumference of a basketball is 29.5 inches, how many centimeters is the circumferenceof a basketball? Round your answer to the nearest whole centimeter.
Answer:
75 cm
Step-by-step explanation:
Every inch is 2.54 cm, so 29.5 in=74.93 cm. 74.93 rounded to the nearest whole is 75cm.
Answer:
75 cm
Step-by-step explanation:
Find an explicit formula for the arithmetic sequence -11, -3,5, 13, ....
b(n) =
Assuming the first term that you listed is the first term of the sequence, the answer should be:
b(n) = -19 +8n
Find the sixth term of this geometric sequence 3584,896,224
Answer:
3.5
Step-by-step explanation:
these are being decided by 4 everytime, so you can just continue the sequence. 3584,896,224,56,14,3.5
How is multiplying intergers
Similar to multiplying whole
numbers?
Answer:
Multiplying integers is very similar to multiplying whole numbers. ... A positive number times a positive number equals a positive number. A positive number times a negative number equals a negative number. A negative number times a negative number equals a positive number.
Answer:
integers are whole numbers