Type the correct answer in each box.
,
then a = and b = .
Answer:
a = 0, b = -15
Step-by-step explanation:
Given the following complex number;
x1 = 3(cosπ+isinπ)
x2 = 5(cosπ/2 - isinπ/2)
x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)
x1x2 = 15(0 - i(-1)+0 -0)
x1x2 = 15(-i)
x1x2 = -15i
x1x2 = 0-15i
Since
0 - 15i = a+ bi
Compare
a = 0
-15- = bi
b = -15
Hence a = 0, b = -15
A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
1.1.1.calculate the second difference of this quadratic pattern
1.1.2.hence or otherwise,calculate the first term of term
Answer:
1.1.1. The common difference is 12
1.1.2. The first term is 30
Step-by-step explanation:
1.1.1. The given quadratic pattern is presented as follows;
The 2nd term = 1
The 3rd term = -16
The 5th term = -14
Let 'd' represent the second difference, we have;
1 + 2d + a = -16
2·d + a = -16 - 1 = -17
2·d + a = -17...(1)
-16 + 3d + a + 4d + a = -14
7·d + 2·a = -14 + 16 = 2
7·d + 2·a = 2...(2)
Making 'a' the subject of both equation (1) and (2) gives;
a = -17 - 2·d
a = 1 - 7/2·d
∴ -17 - 2·d = 1 - 7/2·d
(7/2)·d - 2·d = 1 + 17
(3/2)·d = 18
d = (2/3) × 18 = 12
The common difference, d = 12
a = -17 - 2·d = -17 - 2 × 12 = -41
1.1.2. Let 'x' represent the first term, we have;
x + a + d = 1
x = 1 - (a + d)
x = 1 - (-41 + 12) = 30
The first term, x = 30
need the answer noww. please help me. show your work, correct answer will get brainliest,
Answer:
y==$281+$166=$447
in 11 weeks she pay $ 447
in 1 weeks she pay $447/11=40.6$
she paid off in 3+8=11 weeks
1.5c = 20 - 2
(Algebra)
Answer:
12
Step-by-step explanation:
1.5c=20-2
1.5c=18
c=18/1.5
c=12
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from
2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for
estimating the total output of wheat, in tons, in 2015?
Answer:
Step-by-step explanation:
[tex]19.8(1.098)(1.051)\approx 22.8 tons[/tex]
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
Students from Shelton Middle are going on a field trip to an amusement park. Those students who have annual passes will pay $10. Other students will pay $35. The school collected $1,375 for 50 students. Which system of linear equations models this situation?
a) 10x + 35y = 50
x + y = 1,375
b) 10x + 35y = 1,375
x + y =50
c) 10x + y = 50
35x + y = 1,375
d) 10x + y = 1,375
x + 35y = 50
Answer:
c
Step-by-step explanation:
solve for a and B. A. a=400/21, b = 580/21 B. a=400/21, b=20/21. C a=580/21, b=20/21. D a=20/21, b=580/21
Answer:
Step-by-step explanation:
21/29 = 20/b
b = 20*29/21 = 580/21
a^2 + 20^2 = (580/21)^2
a = 400/21
A swimmer is racing to the other side of the
pool. The pool is 75 feet long. The
swimmer travels 2.5 feet per second. Create
a graph to represent the swimmer's distance
to the other side of the pool with relation
to time.
The graph of the equation y = -25x + 75 is attached.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Since the pool is 75 feet long, hence b = 75. Also the swimmer travels 2.5 feet per second to the other side, hence m = -25
The equation becomes:
y = -25x + 75
The graph of the equation y = -25x + 75 is attached
Find out more at: https://brainly.com/question/13911928
Determine which function has a greater initial value and explain how you know.
function 1: y=2(1/3)^x
Answer - Function 2
Function 1 - y = 2x (1/3)^x x = 0 =2*0*1 = 0
Function 2 have the value for 3 for x = 0
Function 2 is greater
please tell me what this answer is
8. You are building a word bank for math word problems. A synonym that may be
used in a word problem involving additions might be:
A) sum
B) product
Ο Ο Ο Ο
C) quotient.
D) difference
What is the volume of a figure with that is 3 inches wide, 3 inches tall and 7 inches long?
Answer:
Step-by-step explanation:
volume=3×3×7=63 inch³
How Many solutions are there for the
following system.
y = x² - 5x + 3
Y = x - 6
find the distance between (2,-1) and (1,-2)
find the distance between (-2,-4) and (-1,0)
Answer: if you add 5 then you get 57
Step-by-step explanation: just add ang get the answer
Answer:
just add
Step-by-step explanation:
addd
Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please
Answer:
x = 15 ft
Step-by-step explanation:
Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:
side AE / side EB = side AD / side DC
4/6 = 10/x
Solve for x
x = (10)(6) / 4
x = 60 / 4
x = 15 ft
Use the net to compute the surface area of the three-dimensional figure.
A) 56 units2
B) 62 units2
C) 68 units2
D) 74 units2
Answer:
B. 62 un2
Step-by-step explanation:
If a+b=2 find the value of a3+b3+6ab
Answer:
Step-by-step explanation:
Factor the sum of cubes
a³ + b³ = (a+b)(a² - ab +b²)
= 2a² - 2ab + 2b²
a³ + b³ + 6ab = 2a² + 4ab + 2b²
= 2(a² + 2ab +b²)
= 2(a+b)²
= 8
my little brother wants to know if these are equal 5(2j + 3 + j) = 3(5j + 4 + j)
Answer:
they are not equal to
Step-by-step explanation:
Cuál es la probabilidad de sacar una canica Roja en una bolsa con( 15 )en total canicas que contiene 2 canicas negras blanco 4 rojas 5 verdes y una amarilla Probabilidad de canicas Negra. Verde. Roja. Amarillo. Blanca
Answer:
the number four that an option and that it a correction to know if you have any questions
please help due pretty soon
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the lines.
Hence, it is a straight line.
the standard equation of a straight line at (x1,y1) with slope m is =>
===> y-y1 = m (x-x1)
Option B.) is the correct answer.
====> y-4 = 2(x+1)
Can yall help me!? its due at 1:00 pm. (I'll make you brainlest or however you spell it lol)
Answer:
128 calories
Step-by-step explanation:
Remember that an exponent represents multiplying a number repeatedly by itself. For example, using this situation, [tex]2^7[/tex] would represent 2 multiplied by itself seven times:
2 x 2 x 2 x 2 x 2 x 2 x 2
notice that there are 7 2's multiplied by each other ^^
if you are doing this without a calculator, its easiest to start one at a time
2 x 2 = 4
now there are 5 2's left
4 x 2 = 8
there are 4 2's left
8 x 2 = 16
there are 3 2's left
16 x 2 = 32
there are 2 2's left
32 x 2 = 64
there is one 2 left
64 x 2 = 128
so [tex]2^7[/tex] = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
I hope that helps :)
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
x² = 24 x 6 = 144
x = 12
Multiply -90/11 by -55/72 with explanation...
Pls fast...Will mark Brainliest for the best one...
Answer:
25/4
Step-by-step explanation:
Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4
Answer:-6.25
Step-by-step explanation:
Please Help, I will give you a Brainliest and 30 points
Answer:
SVU is 100 degrees i think because i uploaded the image to an online protractor and it said 100 degrees so hopefully its right lol
Step-by-step explanation:
Answer:
112°Step-by-step explanation:
Opposite angles are congruent.Diagonals of rhombus are angle bisectors.TV is bisecting angle STU and SVU∠STW ≅ ∠UTW9x - 43 = 5x + 19x - 5x = 1 + 434x = 44x = 11m∠STV = 9*11 - 43 = 56°m∠STU = 56*2 = 112°SVU = STU = 112°Christopher earns $600 per week and $2.50 for each cell phone he sells. If Christopher earned $697.50 last week, how many cellphone did he sell
Answer:
He sold 39 phones
Answer:
39 Phones
Step-by-step explanation:
2.50x+600=697.50
subtract 600 from both sides to get the equation:
2.50x=97.50
divide each side by 2.50 and you get x=39
help asap i will give brainly to first person to anwser
Answer:
The answer is 8
Step-by-step explanation:
7x-9=4x+15
7x-4x=15+9
3x=24
x=24/3
x=8
pls mark BRAINLIEST
Answer:
m<ABC=<7x-9=7×8-9=47° is your answer
Step-by-step explanation:
4x+15=7x-9 vertically opposite angle
15+9=7x-4x
x=24/3=8
Mary is booking a 3-night stay at a hotel. The rate is $69 per room plus tax. If
state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
A. $273.12
B. $128.62
C. $182.62
D. $225.63
The cost of Mary's lodging cost is A = $ 225.63
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the total lodging cost be represented as A
First, let's calculate the total tax percentage
6% + 2% + 1% = 9%
So, Mary will pay 9% tax on the room rate of $69 per night.
Total room rate for 3 nights = 3 x $69 = $207
Total tax amount = 9% of $207 = $18.63
On simplifying the equation , we get
Therefore, Mary's total lodging cost will be:
A = $207 + $18.63 = $225.63
Hence , the total lodging cost is A = $ 225.63
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?
A. The graph shifts r units down
B. The graph shift r units up
C. The graph shift r units right
D. The graph shift r units left
Answer:
C
Step-by-step explanation:
If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 4 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Answer:
The answer is below
Step-by-step explanation:
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Solution:
Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.
Given that there are a total of 160 tubes, hence:
a + c = 160 (1)
The total diameter of all tubes is 430 feet, hence:
3a + 2c = 430 (2)
To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:
a = 110
Put a = 110 in eqn 1:
110 + c = 160
c = 50