Answer:
1-2i
Step-by-step explanation:
Divide: 5 + 2i by 3 + 4i.
Given data
5 + 2i by 3 + 4i.
We have the expression as
(5 + 2i)/(3 + 4i)
Rationalize the denominator
(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)
=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2
=15-14i+8/9-16
=7-14i/-7
=1-2i
Use abc to find the trigonometric ratios. Enter your answer as fractions
Answer:
Tan <A = 4/3
Cos <A = 3/5
Sin <A = 4/5
Step-by-step explanation:
From the diagram given
Hypotenuse AB = 10
Adjacent = 6
Opposite = 8 (side facingc<A)
According to SOH CAH TOA
Tan <A = Opposite/adjacent
Tan <A = BC/AC
Tan <A = 8/6
Tan <A = 4/3
For Cos <A;
Cos <A = adj/hyp
Cos <A = 6/10
Cos <A = 3/5
For sin<A:
Sin <A = opp/hyp
Sin <A = 8/10
Sin <A = 4/5
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
To It’s centered around 0.25 then the parameter would be 0.25.
We have given,
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25
We have to determine which of the given is most likely the population parameter.
What is the center parameter in the large sample?
A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.
To It’s centered around 0.25 then the parameter would be 0.25
Therefore option A(0.25) is correct
To It’s centered around 0.25 then the parameter would be 0.25.
To learn more about the population parameter visit:
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pls i need all of you for asking this question and pls help me
Solve the equation -6 = -9 – 3x for x.
Simplify. (-18x^3 +17x+6)÷(3x+2)
Answer:
-6x^2 +4x+3
Step-by-step explanation:
See image below:)
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
The answer would be D
Step-by-step explanation:
Got it right on Edge 2021
(a-b)^2 = hihihihihi
Answer:
[tex] {a}^{2} - 2ab + {b}^{2} [/tex]
Step-by-step explanation:
too easy:)
Answer:
a^2 - 2ab + b^2
Step-by-step explanation:
(a-b)^2
(a-b)*(a-b)
(a*a)
(a*-b)
(-b*a)
(-b*-b)
a^2-ba-ba+b^2
a^2-2ba+b^2
34°
Which expression is equivalent to sin (34º)?
A. cos (349)
B. tan (34°)
C. cos (569)
D. tan (569)
Line segment AB is on the coordinate plane and has endpoints at A(-5,3) and B(1,8). What is the length of the line segment to the nearest hundredth?
A) 30.5 B) 11.0 C) 7.81 D) 3.32
Answer:
C) 7.81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(-5, 3)
Point B(1, 8)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1--5)^2+(8-3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{61}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 7.81025[/tex]Round: [tex]\displaystyle d \approx 7.81[/tex]Answer:
AB = 7.81
Step-by-step explanation:
Distance between 2 points = sqrt( (x2 - x1)^2 + (y2 - y1)^) )
x2 = - 5
x1 = 1
y2 = 3
y1 = 8
D = sqrt( -5 - 1)^2 + (3 - 8)^2 )
D = sqrt( (-6)^2 + (-5)^2 )
D = sqrt( (36 + 25)
D = sqrt( 61)
D = 7.81
IF U HELP ME ILL MARK BRAINLIEST
4.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –1); f(x) = x2 – x – 1
B. Axis of symmetry: x = 0.5; Vertex: (0.5, –1.25); f(x) = x2 – x – 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, 1.25); f(x) = x2 – x – 1
D. Axis of symmetry: x = 0.5; Vertex: (0.5, –1.25); f(x) = x2 + x – 1
Answer:
Axis of symmetry: x = 0.5; Vertex: (0.5, –1.25); f(x) = x2 – x – 1
I THINK IT'S THIS ANSWER Axis of symmetry: x = 0.5; Vertex: (0.5, –1); f(x) = x2 – x – 1
Step-by-step explanation:
Answer:
The answer to your question is the third choice.
Step-by-step explanation:
The axis of symmetry is the dotted red line which is located in x = 1/2
The Vertex is the lowest point of the parabola which is (1/2, -1)
The equation of the function is:
(x - h)² = 4p(y - k)
-Substitution
(x - 1/2)² = 4p(y + 1)
-We can not know the value of p
x² - x + 1/4 = y + 1
Discarding choices, there are two possible answer, the second and the third choices, but because of the Vertex (0.5, -1), i think the right answer is the third choice.
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the commission for the month?
Answer:
$11,200
Step-by-step explanation:
Just multiply the percent times the total
8% * 140000 = .08 * 140000 = 11200
Ill mark you brainlist plz help if you put something random I will report you!
Answer:
3 is the common difference
The next term in the sequence would be 5
Answer:
:)
Step-by-step explanation:
[tex]-10, -7, -4, -1, 2, 5,[/tex]
Common difference = +3
Next term = 2 + 3 = 5
Find the value of x
Use sin, cos, or tan
=========================================================
Explanation:
We use cosine to tie together the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(38) = x/21
21*cos(38) = x
x = 21*cos(38)
x = 16.5482258257411
x = 16.5
How many feet are in 60 yards
Answer:
180
Step-by-step explanation:
See the image below:)
Question 1
Solve: 2x2 - 4x - 3 =0
Question 2
Solve: x(x - 2)= 4
Question 3
Solve: 9x2 + 12x +4 = 0
Question 4
Solve: x2 + 2x = 1
I’ll give brainiest pls help ASAP
Answer:
[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]
What is the fraction between 6/4 and 7/4 when subtracted
Answer:
-1/4
Step-by-step explanation:
we always keep the denominator the same if they are the same number and I just subtracted the numerator
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
how many solutions does -3x+12-9x+8=-3(4x-7)
Answer:
-3x+12-9x+8=-3(4x-7)
-3x+12-9x+8=-12x+21
-12x+21=-12x+21
21=21
infinitely many solutions
hope this helps
have a good day :)
Step-by-step explanation:
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
-3x + 12 - 9x + 8 = - 3(4x - 7)
Simplify the equation, then we have
- 3x + 12 - 9x + 8 = -3(4x - 7)
- 12x + 20 = - 12x + 21
12x - 12x = 1
(0) x = 1
The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.
More about the solution of the equation link is given below.
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A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
I need help answering this question
please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou
Answer:
No, because the longest side is too short to be the hypotenuse of a right triangle.
Step-by-step explanation:
To see if the sides form a right triangle
6² + 8² = 9²
36 + 64 = 81
100 ≠ 81
The the 3rd side is too short
If my answer is incorrect, pls correct me!
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-Chetan K
solve the quadratic equation below for the exact values of x.
4x² - 5 = 75
Answer:
x = ±2√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
Identify
4x² - 5 = 75
Step 2: Solve for x
[Addition Property of Equality] Add 5 on both sides: 4x² = 80[Division Property of Equality] Divide 4 on both sides: x² = 20[Equality Property] Square root both sides: x = ±2√5Answer:
[tex]4x^{2} = 75 - 5[/tex]
[tex]\sqrt{4x^{2}} = \sqrt{70}[/tex]
[tex]4x/4=8.366600265/4[/tex]
[tex]x=2.1 rounded[/tex]
Step-by-step explanation:
PLEASE HELP I NEED THE ANSWER THANK YOU
Answer:
B
Step-by-step explanation:
HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent
Answer:
Grade 7 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Grade 8 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Total -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Conclusions: Everything had the same answer, 33%, 17% , and 50%.
Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y
Answer:
A. [tex]12y[/tex]
Step-by-step explanation:
Subtract like normal 28 - 16 = 12
so then it's 12y
Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?
Answer:
Mike= 240 boxes
Sarah= 120 boxes
Step-by-step explanation:
Mike and Sarah are packing boxes at a company
Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is
= 30×8
= 240
Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is
= 15×8
= 120
Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes
State the amplitude and period of f(x) = 3cos9/5t
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
[tex]y=a\cos(b(x-c))+d[/tex]
Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]
We can rewrite this as:
[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]
Therefore, a = 3, b = 9/5, c = 0, and d = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]
What is the slope intercept form here!!!
Answer:
y=x
Step-by-step explanation:
