Answer:
x = - 9
Step-by-step explanation:
Given
- (5x - 4) = 49 ← distribute the parenthesis by - 1
- 5x + 4 = 49 ( subtract 4 from both sides )
- 5x = 45 ( divide both sides by - 5 )
x = - 9
help somebody thanks .
Let z = 0.3(cos(31°) + i sin(31°)) and w = 20(cos(18°) + i sin(18°)).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 6, then rotate 18° counterclockwise.
Stretch z by a factor of 6, then rotate 49° counterclockwise.
Stretch z by a factor of 20, then rotate 18° counterclockwise.
Stretch z by a factor of 20, then rotate 49° counterclockwise.
i think the answer is B but idk
Answer:
Option (C) is correct.
Step-by-step explanation:
Given that z = 0.3(cos(31°) + i sin(31°)) and 20(cos(18°) + i sin(18°)).
The product of both the complex number is
zw = [0.3(cos(31°) + i sin(31°))] x [20(cos(18°) + i sin(18°))]
=(0.3x20)[cos(31°) x cos(18°) + cos(31°) x i sin(18°) + i sin(31°) x cos(31°)+ i sin(31°) x i sin(18°)]
Here, (0.3x20)=6, is the magnitude of zw, which is stretching of 0.3 by 20.
zw=6[cos(31°) x cos(18°) + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)}+ i² sin(31°)x sin(18°)]
As i²= -1, So
zw=6[cos(31°) x cos(18°) + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)} - sin(31°)x sin(18°)]
=6[{cos(31°) x cos(18°)- sin(31°)x sin(18°)} + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)}]
As cosAcosB - sin A sin B = cos (A+B) and cosAsinB + sin A sos B = sin (A+B), so
zw=6[cos(31°+18°) + i{sin(31°+18°)]
Note that, initially the argument of z is 31° and after rotation of 18° in counterclockwise direction, the argument od zw is 31°+18°= 49°. i.e
zw=6(cos(49°) + isin(49°)).
So, zw can be determined by stretching z by a factor of 20, then rotating by 18° counterclockwise.
Hence, option (C) is correct.
Answer:
C: Stretch z by a factor of 20, then rotate 18° counterclockwise.
Step-by-step explanation:
Took the quiz.
the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?
Answer:
$1,320
Step-by-step explanation:
First you divide $2.640 with 2 and tah da
what times (-26)=26 PLEASE HELP ME
Answer:
-26 × -1 = 26
This is your answer , pls mark me the brainliest!!
Answer:
-1
Step-by-step explanation:
1 x 26 is like that , -1 x -26 = 26. Hope this helps!
Can someone explain and help me with this?
Answer:
A) a²-2a+2a-4 the a is correct check my explanation to understand the answer.
Step-by-step explanation:
(a+2)(a-2)= a²-2a+2a-4
Based on the Egyptian Social Pyramid, which statement below is true?
Scribes protected the kingdom from invasion.
Merchants made up a large portion of the pharaoh's police force.
If a boy didn't want the same job as his father, he could go to scribe school.
Farmers, servants, and slaves made up 20% of the population.
Answer:
Third Option
Step-by-step explanation:
Lets use process of elimination to find the answer to this question. It's not the first option because a scribes job was mainly in the government district as writers/record keepers meaning they don't really protect the kingdom from invasion. It's not the second options because Merchants were traders, meaning they don't make up the Pharaohs police force because all they do is sell goods to Egyptians. Then it's not fourth option because farmers, servants, and slaves make up way more then 20% of ancient Egypt. Leaving the third option meaning it's your answer.
Hope this helps.
PLEASE HELP ASAP!!!! i’ll mark brainlest
Answer:
C
Step-by-step explanation:
rounding
Solve for x in the equation x2 - 8x+41 - 0
X=-41 371
x= -4 + 5i 0 X-4+ 371
x = 4 + 5/
Answer:
x= 4+5i
Step-by-step explanation:
The values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i
What is quadratic equation?A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.
Given is a quadratic equation, x²-8x+41 = 0, we need to find the values of x,
Since, 41 is a prime number, which can not be factorized so, we will use quadratic formula,
x = [-b ± √(b²-4ac)] / 2a
Here, a = 1, b = -8, c = 41
Therefore,
x = [8 ± √(8²-4(41))] / 2
= [8 ± √(64-164)] / 2
= [8 ± √(-100)] / 2
= [8 ± 10i] / 2
= [4 ± 5i]
Therefore, x = 4+5i or x = 4-5i
Hence, the values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i
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There are 500 sheets of paper in one ream. The counter says that 23,500 copies have been made. How many teams of paper were used
Answer:
47 reams of paper were used
Step-by-step explanation:
23,500 divided by 500 equals 47
Answer:
47 reams
Step-by-step explanation:
23,500 sheets were made, then you divide by 500, bc each ream has 500. And you get 47 reams of paper :)
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(10, 8), B(18, 12); 1 to 3
Answer:
The coordinates of P are (12,9)
Step-by-step explanation:
Equations
We are given the endpoints of the segment AB: A(10,8) B(18,12).
It's required to find the coordinates of point P(x,y) along the segment AB such that:
[tex]\displaystyle \frac{AP}{PB}=\frac{1}{3}[/tex]
The ratio of the distances is the same as the ratio of their respective coordinates:
[tex]\displaystyle \frac{x_{AP}}{x_{PB}}=\frac{1}{3}[/tex]
[tex]\displaystyle \frac{y_{AP}}{y_{PB}}=\frac{1}{3}[/tex]
Since
[tex]x_{AP}=x_P-x_A=x-10[/tex]
[tex]x_{PB}=x_B-x_P=18-x[/tex]
Then:
[tex]\displaystyle \frac{x-10}{18-x}=\frac{1}{3}[/tex]
Multiplying by 3 (18-x):
3( x - 10 )= 18 - x
3x - 30 = 18 - x
Adding x and 30:
4x = 48
x = 12
Similarly:
[tex]\displaystyle \frac{y-8}{12-y}=\frac{1}{3}[/tex]
Multiplying by 3 (12-y):
3( y - 8 ) = 12 - y
3y - 24 = 12 - y
Adding y and 24:
4y = 36
y = 9
The coordinates of P are (12,9)
While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor. If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?
Answer:
8 walls
Step-by-step explanation:
While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor.
The remaining amount of paint is
= 5 gallons - 2 gallons
= 3 gallons
If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?
Hence:
9/24 gallon = 1 Wall
3 gallons = x wall
Cross Multiply
9/24 × x = 3 × 1
x= 3 ÷ 9/24
x = 3 × 24/9
x = 8 walls
He can paint 8 walls with what is left.
y+2 = -3(x – 4)
Complete the missing value in the solution to the equation.
(?, -2)
Answer:
The missing value in the solution to
the equation will be:
[tex]x=4[/tex]Step-by-step explanation:
Given the equation
[tex]y+2\:=-3\left(x\:-\:4\right)[/tex]
As the value of y = -2 is given.
so substituting the value y = -2 in the equation to find the missing value
[tex]\left(-2\right)+2\:=-3\left(x\:-\:4\right)[/tex]
switch the sides
[tex]-3\left(x-4\right)=\left(-2\right)+2[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]-3\left(x-4\right)=-2+2[/tex]
[tex]-3\left(x-4\right)=0[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}[/tex]
[tex]x-4=0[/tex]
[tex]x=4[/tex]
Therefore, the missing value in the solution to
the equation will be:
[tex]x=4[/tex]Please help me I’m struggling awnser a fraction in simplest form
Answer:
the answer is 4
the slope would be 4/1 which simplifies to 4
Answer:
m=1/4
Step-by-step explanation:
When counting from your first point, you could think of it like this:
"up 1 over 4"
1/4
HTH :)
Jelly beans cost $15.98 for a 2 kg bag. At this rate, how much would 7 kg cost
Answer:
lets see every 2kg bag its 15.98 so every 4kg its 31.96 and for every 6kg its 47.94 so if every 1kg its 7.99 so add 47.94 + 7.99 you get 55.93
Step-by-step explanation:
Hurry plzzz!!
Which of the following pairs are not complementary?
A. 11 and 79
B. 81 and 9
C. 32 and 68
D. 52 and 38
Ms. J has been practicing her factoring skills. She factored the following problem by grouping,
but made a mistake.
Example 1: 4x2 + 20x - 3xy - 15y
Ms. J's work:
Step 1: 4x2 + 20x - 3xy - 15y
Step 2: 4x(x + 5) - 3y(x - 5)
Step 3: (x+5)(4x - 3y)
a. What was the mistake?
b. How can she fix the mistake?
Answer:
a) She did mistake in Step 2
b) when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Step-by-step explanation:
We need to find problem in Ms J solution.
Ms J solution:
[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5) - 3y(x - 5)\\Step \ 3: (x+5)(4x - 3y)[/tex]
She did mistake in Step 2 when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)
Correcting the mistake:
[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5)\mathbf{- 3y(x +5)}\\Step \ 3: (x+5)(4x - 3y)[/tex]
will mark brainliest
Answer:
c
Step-by-step explanation:
c is the one that divides and a fraction is just division
hey bro's help me!!
Answer:
1st is 26.376 2nd is n
Step-by-step explanation:
2pie X r so. 2 X3.14X4.2
Answer:
26.376 cm
4 is the constant
Step-by-step explanation:
C = [tex]2\pi r[/tex]
To find the circumference, we first need to find the radius. The radius of a circle is half the diameter, so divide 84 by 2:
84/2 = 42
The radius is 42. Now we can solve for the circumference:
C = 2[tex]\pi[/tex](42)
C = 84[tex]\pi[/tex]
C = 263.89
The circumference is approximately 263.89 mm. Now we need to convert the millimeters to centimeters. There are 10 millimeters in 1 centimeter, so divide the circumference by 10:
263.89/10 = 26.389
The circumference is approximately 26.389 cm. The answer choice that our answer is closest to is the first answer choice.
4 + 2n
The constant in an expression is the value that doesn't change. After 2 and n are multiplied, that value will be different, so their values aren't constant. So, in this expression, 2 is the coefficient, n is the variable, and 4 is the constant.
Hope this helps :)
The graph shows the height of a plant over a 2-month growth period. Calculate the rate of change per day.
Answer:
14/61 cm per day
Step-by-step explanation:
Use the slope formula [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Plug it in [tex]\frac{16-2}{61-0}[/tex]
Simplify [tex]\frac{14}{61}[/tex]
If the graph shows the height of a plant over a 2-month growth period. The rate of change per day will be 14/61.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables. Analyze the points first, then calculate the y-values for each interval. After that, subtract the input and output values. Divide and then simplify the differences to determine the rate of change.
It is given that, the graph shows the height of a plant over a 2-month growth period
The kind of graph must be considered when calculating the rate of change. Finding the ratio between the change in output values and the change in their corresponding input values is how linear graphs with constant rates of change are determined. Look at the following linear graph.
The slope of a linear function represents the pace of change. We have two points to determine the slope,
The rate of change per day is found as,
=y₂-y₁/x₂-x₁
=16-2/61-0
=14/61
Thus, if the graph shows the height of a plant over a 2-month growth period. The rate of change per day will be 14/61.
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helppppp plssssssssss
Help me plz guys and girls plz
Answer:
The first one
Step-by-step explanation:
since you're subtracting 12, it will be -8
the -8/4 = -2
Answer:
It is the first answer choice b<4 or b>-2
Step-by-step explanation:
Solve the first inequality like so
6b<24
divide by 6 on both sides
b<4
Now for the second inequality solve like so
4b+12>4
Subtract 12 on both sides
4b>-8
Divide on both sides by 4
b>-2
This leaves us with only one answer choice which is A -
b<4 or b>-2
If you can please make my answer the brainliest that would be much appreciated. Thanks!
What is the slope of the line that passes through the points (-2, 4) and (1, 4)?
Answer:
there is no slope. y = 4, the line is horizontal
What are the slope and the y-intercept of the graph of the linear function shown on the grid?
(-6, 0) (2,-2)
Answer:
hi! the slope formula is y2-y1 / x2-x1 ! so (-6,0) (2,-2)
your x1 is -6 and y1 is 0 and x2 is 2 and y2 is -2!
using the formula, -2-0/2--6 is 4
so your slope is 4!
the y intercept is solved by
the slope intercept formula y= mx+b
I hope you've memorized both formulas!
b is your y intercept so let's set the equation up!
pick a point it can be either point we'll do (-6,0)!
now y=mx + b
m is your slope and y is the y coordinate of the point (-6,0) that we chose!
b is what we will solve
so! 0=4(-6)+b
0= -24 + b
now it's basic algebra!
24= b
I hope this helps!
In conclusion, slope is 4 and y intercept is 24
memorize slope formula and slope intercept formula and you can do this!
Write and solve an inequality to fit each phrase; the product of -7 and a number is no more than 77
Answer:
- 7n ≤ 77
Step-by-step explanation:
- 7n ≤ 77
n ≥ - 11
Rational Numbers
Irrational Numbers
2.3495
65.4279
39
7
54
2.45
64
20
6
0.24244...
1.3
89.3668...
7.121314...
2.6363...
7101
irrational numbers never end.
r: 2.3495, 65.4279, 39, 7, 54, 2.45, 64, 20, 6, 1.3, 7101.
ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...
2 divided by 3/4 in fraction form
Answer:
8/3 or 2 2/3
Step-by-step explanation:
so we take 3/4 and flip it. 2 x 4/3= 8/3 or 2 2/3
Hope this helps :3
The Quotient is 8/3.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2 divided by 3/4
As, division is not possible in fraction so we will perform the multiplication
= 2 ÷ 3/4
= 2 x 4/3
= 8/3
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What is the measure of <C ? O 38° O 76° O 90° O 152°
Answer:
Your answer is 38 degrees.
Step-by-step explanation:
The question was solved through the properties of a circle. The angle subtended at the center is double the angle subtended at the circumference.
Hope I helped, happy schooling!!
The measure of <C is 38°. The answer is the first option 38°
Circle theoremsFrom the question, we are to determine the measure of <C.
In the diagram, <C is an angle on a part of the circumference.
From the given information, the angle subtended by arc AB at the center of the circle is 76°
From one of the circle theorems we have that
The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference
Therefore,
2 × <C = 78°
<C = 76° ÷ 2
<C = 38°
Hence, the measure of <C is 38°. The answer is the first option 38°
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I inherited $4500 from a family friend. My Financial Advisor told me i could put it in a fund that would earn 7% interest compounded annually. Write an Exponential Function to represent how much money you would have over x number of years.
a f(x) = 4500(1 - 0.07)x
b f(x) = 4500(1+0.07)(x)
c f(x) = 4500(1.07x)
d f(x)=4500(1 + 0.07)x
Answer:315
Step-by-step explanation:
ANSWER RIGHT AWAY!!!!
Answer:
1st and 3rd are functions, 2nd and 4th are not functions
Step-by-step explanation:
Answer:
Function : 1 , 3
Not a Function : 2 , 4
Step-by-step explanation:
Using the vertical line test for the first two, and the last two you are able to tell because each input (x) can only have one output (y).
⚠️⚠️What’s the equation (Y=Mx+b) and B? ⚠️⚠️
Answer:
The equation for this line in slope-intercept form (y = mx + b) is y = [tex]\frac{5}{4}[/tex]x + 2, because the rise (5) over the run (4) is the slope aka 'm', and the line touches the y-axis at the point (0,2) In this ordered pair the y-value is 2, so the y-intercept, or 'b', is equal to 2.