9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
3. Find the measure of the exterior angle in the diagram below.
Answer:
the value of x is 29° which is b
3x^2 - 4x + 2 = 0
how many solutions does the equation above have?
In how many ways can a designer chose from 3 summer dresses,2 purses, a hat, 3 scarfs, 2 belts if she chooses one of each?
Answer:
I'm pretty sure it's 32
Step-by-step explanation:
hope this helpsb
Simplify:{x(6x - 1
A)
B)
2x-1
9
2x
x-
2x7.5
D
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:= 2 {x}^{2} - \frac{1}{3} x}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] \frac{1}{3} x \: ( \: 6x - 1 \: )\\[/tex]
[tex] = \frac{x \: ( \: 6x - 1 \: )}{3}\\[/tex]
[tex] = \frac{6 {x}^{2} - x}{3} \\[/tex]
[tex] = \frac{6 {x}^{2} }{3} - \frac{x}{3}\\ [/tex]
[tex] = 2 {x}^{2} - \frac{1}{3} x\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Find the solution set of the inequality
\qquad8x - 8 \leq -72.8x−8≤−72.
Step-by-step explanation:
- 8 is the ans .hope this help you. mark me as brainliest
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The table shows the lengths of picket fence pieces Jude has to make a flower garden
He wants the garden to have 4 sides and a perimeter of 30 feet.
He cannot cut the pieces into smaller lengths.
Fence Length
Number of Pieces
6 feet
feet
2
12 feet
1
Choose all of the possible sizes of gardens that Jude could make.
А.
B.
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a square with a side length of 6 feet
a rectangle with a length of 9 feet and a width
of 6 feet
D.
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a trapezoid with side lengths of 6 feet, 6 feet,
6 feet, and 12 feet
a quadrilateral with side lengths of 6 feet, 9
feet, 9 feet, and 9 feet
E.
LIVE
a triangle with side lengths of 9 feet, 9 feet,
and 12 feet
Answer:
all except for D. he can build A, B, C and E out of the available pieces of fence.
but A violates the overall goal of a circumference of 30ft.
and E violates the overall goal of the garden having 4 sides.
D cannot be built, because it would require 3 pieces of 9 ft (and we have only 2).
Answer: All except for D.
Step-by-step explanation: I would make one, but someone has already made a decent explanation.
given a group of six students consisting of four female and two male how many different three member committee can be chosen from this group probability question
Given:
Total number of students = 6
Number of female students = 4
Number of male students = 2
To find:
Total number of outcomes if 3 students are chosen at random (Should i find the probability of something?)
Steps:
To find the total number of outcomes, we need to list the outcomes
Outcomes = {M,M,F} , {M,F,F} , {F,F,F}
Therefore, the total number of outcomes if 3 students are chosen at random is 3, if we don't consider order.
Could you elaborate the question a bit more if i made a mistake of what to find.
A window is constructed with the top half of an ellipse on top of a square. The square portion of the window has a 40 inch base. If the window is 54 inches tall at its highest point, find the height, h, of the window 10 inches from the center of the base.
Decorative image
Can someone help me with this question please..
Answer:
B = (3,3)
Step-by-step explanation:
The order pair of B is (3,3)
3 is x component
3 is y component
help me fast plsssdsssssss
Please Find the value of x and y
Answer: x=40° and y=140°
Step-by-step explanation:
From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.
x=40°
With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.
40+y=180 [subtract both sides by 40]
y=140°
Now we know x=40° and y=140°.
Some one help me with this pls!!!
Answer:
V = 2,495.5 ft³
Step-by-step explanation:
Volume of the given cylinder = πr²h
Where,
π = 3.14
radius (r) = ½(17) = 8.5 ft
height (h) = 11 ft
Plug in the values into the formula
V = 3.14 × 8.5² × 11
V = 3.14 × 72.25 × 11
V = 2,495.515
V = 2,495.5 ft³ (to nearest tenth)
how is 470000000 written in scientific notation
Answer:
4.7 * 10^8
Step-by-step explanation:
Plz help me solve this thanks
Answer:
[tex]-2\sqrt{3}+8\sqrt{5}[/tex]
Step-by-step explanation:
[tex]-2\sqrt{3} -\sqrt{5} +3\sqrt{9\times5} = -2\sqrt{3} -\sqrt{5} +3\sqrt{9}\times\sqrt{5} = -2\sqrt{3} -\sqrt{5} +9\sqrt{5} = -2\sqrt{3}+8\sqrt{5} \\[/tex]
Margot surveyed a random sample of 180 people from the United States about their favorite sports to watch. Then she sent separate, similar, survey to a random sample of 180 people from the United Kingdom. Here are the results:
Favorite sport to watch United States United kingdom Total
Basketball 60 51 111
Football 67 14 81
Soccer 28 86 114
Tennis 25 29 54
Total 180 180 360
Margot wants to perform a x^2 test of homogeneity on these results. What is the expected count for the cell corresponding to people from the United Kingdom whose favorite sports to watch is tennis?
Answer:
27
Step-by-step explanation:
The expected count in a χ² test can be obtained thus :
Expected count for each each point in a two way table ::
(row total * column total) / total
Therefore, expected count for cell corresponding to people from United Kingdom whose favorite sport is tennis :
Row total = (51+14+86+29) = 180
Column total = (25 + 29) = 54
Total = 360
Hence,
Expected count = (180 * 54) / 360
Expected count = 27
4
3. Fred used 1 1/6cups of raisins, and 3 1/3cups
of nuts to make his trail.mix. How many
cups of the mix did he make?
What is the volume of the solid figure?
152 cubic ft
Answer:
Volume of solid figure=Volume of
upper cuboid+volume of lower cuboid
=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft
152 cubic ft
Answer:
Volume of solid figure=Volume of
upper cuboid+volume of lower cuboid
=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft
Find the value of X
Answer:
100°
Step-by-step explanation:
the lower right angle is 180-149 = 31°
the sum of all three angles in a triangle is 180°.
so the solution is 180-31-49
Logan bought stocks and later sold them for $3,437,500, making a profit of 25%. How much did he pay for the stocks?
Answer:
Logan bought the stocks at $2,750,000
Step-by-step explanation:
So according to the question $3,437,500 is the amount at which 25% interest was made
This means that the original value(100% value) has been increased to 125%(thus 100+25%)
By using ratio and proportion,
If 125%-$3437500
then 100% ={100%/125%}×$3,437,50
=$2,750,000
The graphs below show measurements from cubes
with different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
side length and perimeter of 1 face
20
perimeter of 1 face and area of 1 face
16
Perimeter of 1 Face
surface area and volume
A
area of 1 face and surface area
side length and volume
1
2
3
4
5
6
Side Length
40
36
32
Answer:
the first one and the third one
Step-by-step explanation:
Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Can you see them ⟟ need help
I was wondering if someone could answer this :)
Answer:
17
Step-by-step explanation:
2a+30 = 4a-4
+4 +4
2a+34 = 4a
-2a -2a
34 = 2a
÷2 ÷2
a=17
Hope this helps! :)
Answer:
A = 17
Step-by-step explanation:
Opposite angles are congruent in a parallelogram
Hence 2a + 30 = 4a - 4
( Note that we've just created an equation that we can use to solve for a)
We now solve for a
2a + 30 = 4a - 4
Add 4 to both sides
2a + 34 = 4a
Subtract 2a from both sides
34 = 2a
Divide both sides by 2
a = 17
I need big help on this one
Help with this Geometry question please
Answer:
Angle A = [tex]77^{o}[/tex]
Step-by-step explanation:
cos A = adjacent / hypotenuse
cos A = 18/82
cos A = 0.22
A = [tex]cos ^{-1}[/tex]0.22
A = [tex]77^{o}[/tex]
Homework Problem I Need help
Answer: 45 degrees
Step-by-step explanation:
We know that :
[tex]\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]
From the figure, We can notice that the side which is opposite to θ is 15 units
⇒ Opposite side = 15
We need to find the Length of Hypotenuse using Pythagorean theorem which is :
⊕ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (Hypotenuse)² = (8)² + (15)²
⇒ (Hypotenuse)² = 64 + 225
⇒ (Hypotenuse)² = 289
⇒ Hypotenuse = Square root of 289
⇒ Hypotenuse = 17
[tex]\sf{\implies sin\theta = \dfrac{15}{17}}[/tex]
Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.
forth term in a sequence =9
domain=set of all natural number
(4,9) lies in a graph
Answer:
Solution given:
–3, 5, –7, 9, –11, …are in a sequence
domain=set of all natural number.
forth term in a sequence =9
(4,9) lies in a graph.
and
f(5)=2
f(4)=9
Hence
(4,9) lies of graphThe domain is set of inetegers Z .as -3 is not N set member .
4th term of the sequence is 9The sequence has infinite terms
B and D are correct
Complete the problems in measurements. Show answers in simplest terms.
e. Joseph has a bag of dog food that weighs 5 lb. He wants to feed his dog 7 oz. of dog food per day, How many days will the bag of dog food last?
Round off 1,296,717 to 3 significant figures
Answer:6 1296720 1.29672 × 106
5 1296700 1.2967 × 106
4 1297000 1.297 × 106
3 1300000 1.30 × 106
2 1300000 1.3 × 106
1 1000000 1 × 106
Step-by-step explanation:
Which expression is equivalent to 4-(-7)
Answer:
4-(-7)=11
-4-7=-11
-4+7=3
-7-4=-11
so neither 3 choices work
hope this helps
have a good day :)
Step-by-step explanation:
In △CDE, DE=14, CE=9, and m∠E=71∘. What is the length of CD⎯⎯⎯⎯⎯⎯? Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
13.96units
Step-by-step explanation:
To get the length of CD, we will use the cosine rule as shown:
CD² = DE²+CE²-2(DE)(CE)cos m<E
Substitute the given values
CD² = 14²+9²-2(14)(9)cos71
CD² = 196 + 81 - 252cos71
CD² =277 - 252cos71
CD² = 277 - 82.0431
CD² = 194.95682
CD = √194.95682
CD = 13.96 units
Hence the length of CD of 13.96units