Answer:
it is a scalar quantity because it involves magnitude only.
Step-by-step explanation:
Find a general term a, for the sequence whose first four terms are given.
6, 14, 22, 30,...
Answer:
an = 6 +8(n -1)
Step-by-step explanation:
Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...
an = a1 +d(n -1)
where a1 is the first term, and d is the common difference.
Here, the differences are ...
14 -6 = 8
22 -14 = 8
30 -22 = 8
These are all the same, hence a "common" difference. The first term is 6, so the general term is ...
an = 6 +8(n -1)
The result of adding a complex number to its conjugate is “an integer/a pure imaginary number/a real number/a whole number” and the result of subtracting a complex number from its conjugate is “an integer/a real number/a pure imaginary number/a whole number”
Answer:
If Z is a complex number:
Z = a + b*i
where a and b are real numbers, and i is an imaginary number.
Then "a" is the real part.
"b*i" is the imaginary part.
The conjugate of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Then:
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real numer.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"
Answer: a pure imaginary number
explanation:
The sum of a complex number and its conjugate will always be two times the real part of that complex number.
Z=a+b*i
where a and b are real numbers, and i is an nonexistent number.
Then a is the real part.
"b*i" is the imaginary part.
The connection of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real number.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
There is an attachment at the bottom help me please.
Answer:
Fourth option
Step-by-step explanation:
We know that A and B are rational numbers because they can be written as the quotient of two integers. Therefore, that eliminates the first and third options because they state that (at least) one of the numbers is irrational but we know that both are rational, hence, they are incorrect. The second option is incorrect because A · B = [tex]\frac{mn}{pq}[/tex], not [tex]\frac{mp + nq}{pq}[/tex], therefore, the correct answer is the fourth option.
If m is the midpoint of ab find the coordinates of a if b(4,6) and m(1,2) A is pls help I need to know pls
HELP!! -5/8 - (-4/3) = x What is x?
Answer:
x = [tex]\frac{17}{24}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{5}{8}[/tex] - (- [tex]\frac{4}{3}[/tex] ) = x
Note that - (- [tex]\frac{4}{3}[/tex] ) = + [tex]\frac{4}{3}[/tex] , thus
- [tex]\frac{5}{8}[/tex] + [tex]\frac{4}{3}[/tex] = x
Multiply through by 24 ( the lcm of 8 and 3 ) to clear the fractions
- 15 + 32 = 24x
17 = 24x ( divide both sides by 24 )
[tex]\frac{17}{24}[/tex] = x
What is the pattern ?
0, 1, 8, 27, 64,
Answer:
Step-by-step explanation:
1 (=1×1×1)
8 (=2×2×2)
27 (=3×3×3)
64 (=4×4×4)
Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answer:
4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000
Step-by-step explanation:
The given parameters are;
The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0
The number in the thousands of the whole number that Josh wrote = 7
The number in the tens of the whole number that Josh wrote = 2
The value of the whole number that Josh wrote < 500,000
Therefore, we have;
The possible numbers in the hundreds of thousands place = 4, and 2
Which gives the following possible combinations;
The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000
The number of ways of selecting the second number = 3 ways
The number of ways of selecting the third number = 1 way, the number is 7
The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit
The number of ways of selecting the fifth number = 1 way, the number is 2
The number of ways of selecting the sixth number = 1 ways
The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;
487920 or 497820 or 407829 or 407928 or 487029 or 497028
Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.
For which equations are in the solution for x the same number? 15 – х = -3
3
Answer:
Step-by-step explanation:
First equation:
15 - x = - 3
-x = - 3 - 15
-x = -18 (now negative signs on b.s cut eachother)
[x = 18]
Second equation :
15 - x = 3
-x = 3 - 15
- x = -12 ( now negative sign on b.s cut eachother)
[x = 12]
so x = 18 and x = 12 are not same
greastest common factor of 24 and 18
Answer: 6
Step-by-step explanation:
the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three
Which statement about rational numbers is true?
All rational numbers are fractions.
Rational numbers never have repeating decimals.
Some integers are not rational numbers.
All fractions containing integers are rational numbers.
Answer:
the true one is all fractions containing integers are rational numbers is true
Step-by-step explanation:
i think
Answer:
All fractions containing integers are rational numbers.
Step-by-step explanation:
Without using a calculator, choose the statement that best describes the value of {86}
Answer: my guess is 9
Answer:
there would be the 8 in the tens place and the 6 in the ones place
Step-by-step explanation:
you can see this in a place value chart
please help!
4^x*5^y=20, 4^y*5^x=20^2, x+y=?
Answer:
x + y are either 2 or 4
Step-by-step explanation:
conclusion x + y = 2 OR 4
4 to the second power is the same as 4 squared. True or false ?
Answer:
False.
Step-by-step explanation:
WHAT IS |3x + 2| > 9
Answer:
Answer will be the 7/3<x>7/3
please answer asap please
Answer:
( 6,-1)
Step-by-step explanation:
Point B is at ( 0,3)
We are going down 4 units so subtract 4 from y
and going right 6 units so add 6 to x
(0+6 , 3-4)
( 6,-1) is the location of B'
Answer:
B- its going 4 down from positive 3 which will make it -1 and 6 over from 0 which makes it 6 and that gives you the answer of (-1,6)
What is the domain of f(x) + g(x)
Answer:
All real numbers except 6
HELP ME PLEASE ECPLAIN WHY
Answer:
A≈110.11
using formula 1/4[tex]\sqrt5(5+2\sqrt5)a2[/tex]
Step-by-step explanation:
ockdown Learning Week 2 Higher
A and B are two cities.
b)
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Submit Answer
a) Measure the bearing of B from A.
AX
b) Measure the bearing of A from B.
Answer:
A) measure the bearing of A from B
1.Solve : 3(5 + 7) - 4(8 + 4) = * 2.solve:-7 x -10 ill give you an free robux account if you get them correct
Answer:
1) -12, 2) 70
Step-by-step explanation:
Hope this helps :)
Answer:
oh someone got it already :(((( ugh
Step-by-step explanation:
ro bux
F(x)=9(x-8) find f^-1(x)
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )
[tex]\frac{y}{9}[/tex] + 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
Is 0.3529 irrational or rational
Answer:
It is Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Which of the following is a solution of x2 + 4x = -8?
O x = -2 - 21
O x = 2 + 21
O x = -4 + 41
O x = 4 - 41
Answer:
[tex]x=2i-2,\:x=-2i-2[/tex]
Step-by-step explanation:
[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]
[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]
a) Calculate the area of a triangle that has base 8cm and height
6.5cm State units with your answer.
Answer:
26cm^2
Step-by-step explanation:
Base = 8cm
Height = 6.5cm
[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]
Substitute values into the given equation
[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]
Evaluate the expression for c = –0.3.
Write your answer as a decimal or whole number.
24c^2 =
Answer:
2.16
Step-by-step explanation:
c = -0.3
24c² =
plug in c
24(-0.3)²
solve for the exponent
24(0.09)
multiply
2.16
The length of segment AB is 10 cm
If you draw a point halfway between A and B and label the point C, what is the
length of AC?
Answer:
Step-by-step explanation:
The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.
Tommy goes to Lowe's to buy some supplies for his yard. He buys 4 plants for n dollars, a 10-gallon bucket for $10, and a bag of fertilizer for $18. Write a simplified expression that can be used to represent the total cost Tommy will purchase at Lowe's.
Answer:
4n +28
Step-by-step explanation:
Tommy's purchases add up to ...
4n +10 + 18 = 4n +28
HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? How many inches of ribbon does the dressmaker have, in total?
Answer:
1620 peices
Step-by-step explanation:
9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches
1620 inches divided by 4 inches = 405 peices
:)
True False: Complementary angles sometimes fom straight angles
Answer:
False
Step-by-step explanation:
Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.
if It is known that 5
Answer:
Could you please finish the question?? I don't get you.
I think you understand why there is no answer. My apologies!!
✨Thanks!!!✨
whats commutative property of multiplication.
Answer:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
Step-by-step explanation: