Answer:
1+2iStep-by-step explanation:
Given the complex number [tex]\frac{-3+4i}{1+2i}[/tex] calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.
To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;
[tex]\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i[/tex]
He should have obtained 1+2i if he hadn't misses the sign
Which relation is a function?
A) y2 = 5 + 5x
B) 1/y = y - x
C) x2 = (1 - x)/y
D) x2 = (1 - x)/y2
Answer:
B
Step-by-step explanation:
The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. Circles labeled Motor and Manual overlap. A circle labeled bicycle is to the side of the other 2 circles. Circle Motor contains 8 and circle Manual contains 32. The overlap of the circles contains 24. Circle Bicycle contains 44. Number 3 is on the outside of the circles. Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle
Answer:
motor ∩ bicycle
Step-by-step explanation:
This is because ∩ means intersection, saying that it is an overlap between the motor and the bicycle, but on the chart there is no overlap between those two.
Answer:
C: motor ∩ bicycle
Step-by-step explanation:
edge 2020
complete the equation describing how x and y are related
Answer:
y = 3x
Step-by-step explanation:
The difference between consecutive values of y are constant, that is
9 - 6 = 6 - 3 = 3 - 0 = 0 - (- 3) = - 3 - (- 6) = 3
This constant is the required multiplier, that is
y = 3x
Which multiplication problem can be used to determine how many possible combinations there are for a lock
consisting of 3 digits from 0-9, if the digits can be repeated?
(3)(3)(3)
O (9/9/9)
O (10/9/8)
(10/10/10)
Intro
Done
4 of 11
There are 13 brunettes and 7 blondes in a Spanish class. The teacher selects two students to run an errand. How many possible outcomes are there if she selects a brunette followed by a blonde?
Answer:
91 possible outcomes
Step-by-step explanation:
As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:
number of possibilities of choosing a brunette: 13
number of possibilities of choosing a blonde: 7
Then, the number of possible outcomes is the product of these number of possibilities:
13 * 7 = 91 possible outcomes
2/3(p-12)=-(2p-1)+7
A. all real numbers
B. −6
C. –4
D. 4
Answer:
p=6
Was option B supposed to be 6 instead of -6?
Work:
2/3p-8=-2p+8
2p-24=-6p+24
8p=48
p=6
Your dad is designing a new garden for your backyard. He has 26 feet of fencing to go around the garden. He wants the length of the garden to be 3 1/2 feet longer than the width. How wide should he make the garden?
Answer:
4.75 feet
Step-by-step explanation:
Perimeter for any rectangular shape is given by 2(length + width).
Fencing the garden means one wiring the garden along the perimeter.
Thus, it can be concluded that garden has perimeter of 26 feet as given in question.
__________________________________________
Let the width be x feet
given that, He wants the length of the garden to be 3 1/2 feet longer than the width
thus, length of garden = x + 3 1/2 feet = x + 3.5 feet
if length is x+3.5 feet and width is x feet.
Then perimeter = 2( x+3.5 + x) = 2(2x+3.5) = (4x + 7) feet.
This perimeter will be equal to 26 feet fence
thus,
(4x + 7) = 26
=> 4x = 26 - 7 = 19
=> x = 19/4 = 4.75 feet
x is width of garden.
Thus, he should make the garden 4.75 feet wide.
Answer:
4.75
Step-by-step explanation:
Which is a symmetric distribution?
Answer:
most definitely d!!
Step-by-step explanation:
just took the test on a p e x
Pure acid is to be added to a 5% acid solution to obtain 95L of 98% solution. What amounts of each should be used?
How many liters of 100% pure acid should be used to make the solution?
Answer:
Step-by-step explanation:
Equation:
acid + acid = acid
0.05x + 1.0(95-x) = 0.30*95
----
Multiply thr by 100 to get:
5x + 100*95 - 100x = 30*95
---
-95x = -70*95
---
x = 70L (amt of 5% solution needed)
---
95-x = 25L (amt of 100% solution needed)
==================================================
How many Liters of 100% acid should be used to obtain the solution?
If a coin is flipped twenty-five times and lands tails up seventeen times, the
___ probability that the coin lands tails up is .
Answer:
17/25 and theoretical
Step-by-step explanation:
Answer:
8
Step-by-step explanation:17-25=8 and 17+8=25
Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2
meters away from the base of the tree. How high into the tree will the ladder reach? Round your answer to the nearest tenth of a meter.
Answer:
5.7m
Step-by-step explanation:
the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
sides a and b are the two shorter sides.
side c is the hypotenuse (longest side)
as shown in the picture below, because we know both sides c and b, we need to change the equation around:
[tex]c^{2} -b^{2} =a^{2}[/tex]
replace these sides with their numbers:
[tex]6^{2} -2^{2} = 32[/tex] (remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:
[tex]\sqrt{32} =5.65685...[/tex]
the question says to round to the nearest tenth meter:
Missing side = 5.7m
I hope this was helpful :-)
Answer:
5.7
Khan
Alright
Make me brainliest please just once.
Step-by-step explanation:
Help Please! And THANK YOU!
Answer:
[tex]100[/tex]
Step-by-step explanation:
[tex] \frac{3.75 \times 100}{1.50 \times 100} = \frac{375}{150} [/tex]
so the dividend and divisor were both multiplied by 100.plz help will give brainliest, thanks, and lots of points
Answer:
V = 687.28 cm ^3
Step by step explanation:
687.28 m ^3 is found in 3 steps.
Volume of a sphere = V=4/3πr3 = 268.8 m^3
Volume of a semi sphere = V = (2/3)πr. but i divide the top one by 2
= 268.8/2 = 134.4 m^3
Volume of a Cylinder prism = V=πr2h = 502.61 m^3
Volume of a cone V=(πr2 )h/3 = 50.27
We add 134.4 + 502.61 +50.27 = 687.28 m ^3
How to find Area;
We remember and compare to Area and other areas the values.
Area = 415m^2
circle is semi sphere A = π r2 h= 200.1 = /2 or *0.5 A=100.53 m^2
cylinder lateral A = 2πrh L = 251.327412 m^2 = 251 m^2
Cone lateral A=πrh2+r2 = 62.83 = 63 m^2
= 100.53 + 251.327412 + 62.83 =414.687412
or 101+251+63 = 415 m^2
Notes;
The best way is to find someway of not overwhelming yourself with the combined volume question and know what actually makes a cylinder being the central prism.
So write down all these values below onto a flashcard and title it Area of a composite Semi-sphere/cylinder/cone r = 4 / h= 10 r =4 / r= 4 h=3
and write these down.
Cylinder
lateral surface area L = 80 π m2
top surface area T = 16 π m2
base surface area B = 16 π m2
total surface area A = 112 π m2
Cone = 62.83
Semi sphere = 100.53
Area = 415 m2
Someone please help me out.
Answer:
a=6
b=-14
Step-by-step explanation:
ANSWER AS SOON AS POSSIBLE;please and thank you/Gabby earns $30 per week. Her goal is to save 69,855 how long will it take for gabby to earn $69,855?
Answer:
2328.5 weeks or 6.4 years
Step-by-step explanation:
69855/30= 2328.5/365= 6.4
Vocabulary Review List the five inequality symbols. Help me please
Answer:
Greater than, less, than, equal to, greater or equal to, less than or equal to
Step-by-step explanation:
wiil make braleast 10 pontsA circular wading pool has a radius of 12 feet.
What is the longest distance across the wading pool?
36 ft
12 ft
24 ft
48 ft
Answer:
24
Step-by-step explanation:
radius^2 = diameter
Answer:
24ft
Step-by-step explanation:
all you had to do is multiply 12x2
A gift box has the shape of a cube with an edge length of 4.5 in. What is the volume of the gift box? Enter your answer in the box. in³
Answer:
91.125 in^3
Step-by-step explanation:
4.5*4.5*4.5 = 91.125
30PTS
ASAP: BRAINLEST FOR BEST ANSWER!
im stupid xD
Answer: $200-$75=$125
Answer:
125$
Step-by-step explanation:
$200-$75=125$
simplify 3x + 5 + 7 x - 3 - x + 2
Before we do this problem, let's go over a little algebra terminology.
The number in front of your variable is called your coefficient and notice that the x at the end of the problem does not have a coefficient.
When that happens, when there is no number in front of your variable, you can put a 1 there to fill that position. So -x can be thought of as -1x.
Next let's change all our minus signs to plus negatives.
So the problem reads 3x + 5 + 7x + -3 + -1x + 2.
Now let's simplify this by combining like terms.
We can combine our "x" terms first.
3x + 7x + -1x simplifies to +9x.
Now, 5 + -3 + 2 simplifies to 4.
So our answer is 9x + 4.
Answer:
10x-x+7-3
Step-by-step explanation:
What is the area of the trapezoid shown below?
A. 361 sq. units
B. 114 sq. units
C. 78 sq. units
D. 52 sq. units
Answer:
78
Step-by-step explanation:
7+8/2 multiply by 6
Answer:
C. 78 sq. units
Step-by-step explanation:
[tex]area \: of \: trapezoid \\= \frac{1}{2} \times (19 + 7) \times 6 \\ = 26 \times 3 \\ = 78 \: sq \: units[/tex]
solve this inequality 5 x + 2 < 32
Answer:
Here is your answer:
5x + 2 < 32
solution:
5x+ 2 < 32
or, 5x < 32-2
or, 5x < 30
or, 5x < 30/2
or, 5x < 15
or, x < 15/3
or, x < 5
therefore, x < 5 ans
Hope it will help you
for v =-3i+6j find unit vector u in the direction of v
Help pls so people say it’s none of these but idk I am confused.
Answer:
Volume = [tex]\pi r^2 h[/tex]
2512 = 3.14 × r^2 × 8
[tex]r^2 = \displaystyle\frac{314}{3.14}[/tex]
[tex]r^2 = 100[/tex]
[tex]r = 10 \ cm[/tex]
[tex]Diameter = 2r = 20 \ cm [/tex]
Dont get confused try to understand : )
Answer:
20 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We are given the volume and the height
2512 = pi r^2 *8
Divide each side by 8
2512/8 = pi r^2 *8/8
314 = pi r^2
Divide each side by pi
314/3.14 = 3.14 r^2 /3.14
100 = r^2
Take the square root of each side
sqrt(100) = sqrt(r^2)
10 = r
We want to find the diameter
d =2r
d =2(10)
d =20
The diameter is 20 cm
Find the m∠SAQ.
44°
46°
57°
77°
Answer:
X=57
Step-by-step explanation:
77+46+X=180
123+X=180
X=180-123
X=57
Answer:
57°
Step-by-step explanation:
Hope it helps you in your learning process
46° + m∠SAQ + 77° = 180° (straight line angles)
m∠SAQ + 123° = 180°
m∠SAQ = 180° - 123°
m∠SAQ = 57°
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
By what percentage is the grapefruit heavier than the apple?
Answer:
20% heavier
Step-by-step explanation:
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y = -2x
Step-by-step explanation:
I used slope intercept form and took one of the answers and the slope hit (-2,4).
The equation of the graphed line is 2x – 3y = 12.
A coordinate plane with a line passing through (0, negative 4) and (6, 0).
What is the x-intercept of the graph?
–4
–Negative StartFraction 3 Over 2 EndFraction
StartFraction 2 Over 3 EndFraction
6
Step-by-step explanation:
Well, if you're trying to find the x-intercept, you should look where the line crosses the x-axis. If the line crosses at 6, then the x-intercept is 6. So what I'm saying is the answer is 6.
Btw, if you're trying to find the y-intercept, just look where the line crosses the y-axis, (vertical axis) and then that's your answer.
Example: If there is a line crossing through a 5 on the y-axis, that is your y-intercept.
Example: If there is a line crossing through a 5 on the x-axis, that is your x-intercept.
I hope this answers your question.
Answer:
6
Step-by-step explanation:
Find the difference: 4/5 - 1/3
Answer:
7/15
Step-by-step explanation:
When we convert the fractions so that they have a common denominator (this makes it easier to subtract), we get 12/15 - 5/15 = 7/15. Hope this helps!
Answer:
7/15
Step-by-step explanation:
First, you find a common denominator. The common denominator would be 15.
4/5= 12/15
1/3= 5/15
12/15- 5/15
Answer: 7/15
The length of a rectangle is 3 more than the width. Find the length of the rectangle
if the perimeter is 98 in.