which of the following is a complex number?
Answer:
The complex number is B, [tex]3\sqrt{\frac{7}{5}}+\sqrt{-\frac{9}{5}}[/tex]
Step-by-step explanation:
A complex number should be written in the form [tex]a+bi[/tex], where a and b are real numbers, and i is an imaginary number.
Recall that [tex]\sqrt{-1}=i[/tex]. Since letter B has the second term [tex]\sqrt{-\frac{9}{5}}[/tex], we can say
[tex]\sqrt{-\frac{9}{5}}=\sqrt{-1\cdot\frac{9}{5}}=i\sqrt{\frac{9}{5}}[/tex]
Therefore, the number can be written as
[tex]3\sqrt{\frac{7}{5}}+i\sqrt{\frac{9}{5}}[/tex].
HELPPP! YOU'LL GET BRAINLIESTT!
Answer:
G
E
F
H
Step-by-step explanation:
I don't know what the parent function is. you did not specify that.
I guess it is f(x) = x² ?
anyway, x² is the prime example of a parabola, which simply opens upward and has the vertex (its minimum) at 0, 0.
now, g(x) is first of all multiplying this by -1.
that turns the original curve upside-down.
therefore, g(x) opens downward, and it has a maximum.
because of the mentioned upside-down action, this is a reflection across the x-axis.
the multiplication by 1/4 actually decreases the functional values compared to the basic x² curve, so the curve is below the x² curve and that means it stretches the original curve.
What is the area of the shape?
Answer:
49
Step-by-step explanation:
Please check the photo.
Find the area A of polygon ABCDEFG with the given vertices.
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area A of polygon ABCDEFG with the given vertices is 10 square units
How to find the area A of polygon ABCDEFG with the given vertices?The vertices are given as
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area of the polygon is calculated using
Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|
So, we have
Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-20|
Remove the absolute bracket
So, we have
Area = 1/2 * 20
Evaluate the products
So, we have
Area = 10
Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units
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Help me find the expressions that are equivalent ?
Answer:
3⁶
9³
Step-by-step explanation:
We know that,
⇒ [tex]a^{x} *a^{y} =a^{(x+y)}\\[/tex]
⇒ [tex]\frac{a^x}{a^y} =a^{(x-y)}[/tex]
⇒ [tex](a^x)^y=a^x^y[/tex]
Let us solve it now.
3⁴ × 3²
3 ⁽ ⁴ ⁺ ² ⁾
3⁶ ⇒ 729
And let us find the value of each expression which are given as answers and find the expressions which are equivalent to 729 ( 3⁶ ).
3⁶ ⇒ 729 ( YES )9⁶ ⇒ 531,441 ( NO )9³ ⇒ 729 ( YES ) 3⁸ ⇒ 6,561 ( NO )9⁸ ⇒ 43,046,721 ( NO )Please help ASAP!!
Thank you!
Answer:
x=22
Step-by-step explanation:
(5x+4)+44+x = 180. reason [being co-interior angle)
48+6x = 180
6x = 132
x=22
Choose the model for the problem 2\3 ÷ 2
NEED ANSWERS ASAP
By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.
What is division?
Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.
To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.
Here are the steps to solve the problem:
Divide 2 by 3:
2 ÷ 3 = 0.666666667 (rounded to nine decimal places)
Divide the result from step 1 by 2:
0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)
Therefore, 2/3 ÷ 2 = 0.3333333335.
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This pattern follows the "multiply by 3" rule. What is the next number in the pattern?
3, 9, 27, 81, ________
Answer:
243
Step-by-step explanation:
If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.
Answer:
243
Step-by-step explanation:
If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.
What is the opposite of each number?
Drag the answer into the box to match each number.
0.1
1/7
10
-7
0.1, -0.1 ,1 ,7, 10, 1/7, -10
Answer:
the opposite of 0.1 would be -0.1
the opposite of 1/7 would be 7
the opposite of 10 would be -10
the opposite of -7 would be 7
What is the range of function g?
Answer:
C -4,-3
Step-by-step explanation:
for PLATO
The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The range of the function will be
The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)
Then the range is given as
[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]
Then the correct option is C.
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Solve equation step by step
6= x+2/3
Answer: x = 16 or if it is x+2/3 (two thirds), then 5 1/3
Step-by-step explanation: 16+2 divided by 3 = 6. 5 1/3 + 2/3 = 6.
Answer:
5 1/3
Step-by-step explanation:
Step 1:
6 = x + 2/3 Equation
Step 2:
6 - 2/3 = x Subtract 2/3 on both sides
Answer:
5 1/3 = x Subtract
Hope This Helps :)
The volleyball team is selling raffle tickets for $1. 50 each. It wants to make at least $250 from the sales. Assume everyone buys the same number of tickets. If there are 75 people at the fundraiser, what is the least number of tickets each person needs to buy to meet that goal?.
The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
What is an algebraic expression?The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.
Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.
Thus, the number of tickets sold are,
[tex]n=\dfrac{250}{1.5}\\n\approx167[/tex]
Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,
[tex]x=\dfrac{167}{75}\\x=2.23[/tex]
The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.
Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
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To number a book from 1 up to its last page took 552 digits. How many pages are in the book?
Explanation:
So 552 digits are used to number the pages of a book consecutively from page one. How many pages are there in the book?
1 to 9 = 9 digits
10 to 99 = 2*90 = 180 digits
So, 1 to 99 uses 189 digits.
552 - 189 = 363
3 digits per page = 363/3 = 121 pages starting at page 100.
Page 100 to 220 is 121 pages
220 pages in total
I hope this is logic is right - you might want a second opinion, too.
The number of the pages in the book which has a number from 1 to 552 digits will be 220.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
To number a book from 1 up to its last page took 552 digits.
Then the number of pages in the book will be
1 to 9 there are 9 digits.
From 10 to 99, the number of digits will be
2 × 90 = 180
10 to 99 there are 180 digits.
From 1 to 99, there are 189 digits.
Then the remaining digits will be
552 – 189 = 363
Three digits per page will be
363/3 = 121
Page starting at hundred.
Then the total number of pages will be
120 + 100 = 220
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Question is in the pic
Answer:
y=-3x-1
Step-by-step explanation:
HURRY PLEASE THIS NEED TO BE ANSWERD IN 30 SECONDS FAKE ANSWER WILL BE REPORTED : )
Answer: (-6,0)
Step-by-step explanation:
Hope this helps!
Tell me how to write linear equations for slopes, but in a way that's easy to understand.
Oh, and if you can, explain linear functions too
Answer:
First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0
ill give 90 Points I need this NOW!
Write the phrase as an expression.
6 more than the quotient of 15 and 3
Solution:
We know that:
Given phrase: 6 more than the quotient of 15 and 3Rereading the phrase carefully.
{6} {more} than the {quotient of 15 and 3.} ↥ ↥ ↥ 6 + 15/3Expression formed: 6 + 15/3
If peter spent 500 dollars, how much did john spent?
Answer:
500 dollars spend by john
Which pair of triangles can be proved congruent by SAS?
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Triangles congruent by SAS criteria are the ones in choice B
where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.
So, it makes it more reasonable
Hope you understood ~ ask me if there's any doubt or more questions !
9.Evaluate (9/4)^1/2
The exact form is 3/4
Decimal form is 1.5
And mixed number form is 1 1/2
Help help help help help help help help help help help help help
Step-by-step explanation:
Answer:
√21
Step-by-step explanation:
2^2+b^2=5^2
4+b^2=25
b^2=21
√ b^2=√ 21
Find the sum. Include all calculations in your answer. -4 5/8 =2 1/8
please hurry!
Answer:
Answer:
-2 1/4
Step-by-step explanation:
If f(x) =1/9x-2 what is f^1(x)
F^1(x) 9x+18
F^1(x) = 5x+2
F^1(x) =9x+2
F^1(x)=-2+1/9
Answer: 9x+18
Step-by-step explanation:
If I bought 2 1/4 pounds of hamburger, and the hamburger costed 4.48 dollars per pound, how much would it all cost? (I need answers quick, I'm in a test!)
Answer: $10.08
2 pounds of hamburger would equal $8.96.
1/4 of 4.48 is $1.12.
Add $8.96 and $1.12 is $10.08
SO WHAT IS 7.6n-15=3.6n+5
Answer:
kinda hard
Step-by-step explanation:
Answer:
ya momma gay
Step-by-step explanation:
215
calculate the value of 2a+3b if a=1 and b=2
calculate the value of 2a+3b if a=1 and b=2
= 2 * 1 + 3 * 2
= 2 + 6
= 8
* = multiply by
2a = 2 * a
and 3b = 3 * b
Given: angle 2 and angle 4 are vertical angles Prove: angle 2 congreunt angle 4
Answer:
Step-by-step explanation:
Answer: View the picture below!
Step-by-step explanation: Just did it!
Q. find the value of x
Answer:
to find the value of x, bring the variable to the leftside and bring all the remaining values to the right side
Step-by-step explanation:
Thank me later
Solve the equations. Show the solution sets on a number line.
|2/3q-1|=5
Answer:
q=9 or q=−6
Step-by-step explanation: