Answers
Answer:
modulus: 3√2argument: -3π/4 (or 5π/4)Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
__
rectangular formThe complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:
\(\dfrac{-9+3i}{1-2i}=\dfrac{(-9+3i)(1+2i)}{(1-2i)(1+2i)}=\dfrac{-9+3i-18i-6}{1+4}=-3-3i\)
polar formThe magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
__
modulus∠argument = (3√2)∠(-3π/4)
Related Questions
Write the following ratio using two other notations 1/4
Answers
The two notations of the ratios are:
1 : 4 and 0.25.
We have,
The ratio of 1/4 can be expressed using two other notations:
1 : 4
- This is the ratio in the form of a colon, which indicates the comparison of the two values.
0.25
- This is the decimal form of the ratio, obtained by dividing the numerator by the denominator. In this case, 1 divided by 4 equals 0.25.
Thus,
The two notations of the ratios are:
1 : 4 and 0.25.
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What is mathematics. why is it important?
Answers
Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.
What is mathematics?
Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.
Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.
Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.
Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.
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Help me right answer will get brainlyest and also for 15 points!
Answers
Answer:
B
Step-by-step explanation:
If you get y by itself, subtract x from both sides and get y= -x+11
what percent of 6.2 is 14
Answers
Answer:
0.87
Step-by-step explanation:
Pls help. Sorry if its blurry
Answers
Answer:
5 divided by some number.
Step-by-step explanation:
Hope this helps!
Answer:
third option
Step-by-step explanation:
C*C*C=???
helpp me with this
Answers
Check the picture below.
Members of a community center have decided to
paint a large circular mural in the middle of their
street. The radius of the mural is to be 11 yards.
How much space will the mural cover?
Answers
Answer: 379.94 or 121\(\pi\) yards
Step-by-step explanation:
The formula for finding the area of a circle = \(\pi\)r^2.
The radius is given, so all you have to do is plug in the value:
11^2 = 121
If necessary, multiply by 3.14:
3.14*121 = 379.94
Final Answer ⇒⇒⇒⇒⇒ 379.94 or 121\(\pi\) yards
(DO NOT FORGET THE UNIT)
Solve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answers
Answer:
A/h = b
Step-by-step explanation:
A = bh
Divide each side by h
A/h = bh/h
A/h = b
Answer:
\(b=\frac{A}{h}\)
Step-by-step explanation:
→To get "b," by itself, all you need to do is divide both sides by "h," like so:
\(A=bh\)
\(\frac{A}{h} =\frac{bh}{h}\)
\(\frac{A}{h} = b\)
Shawn had a balance of $39 in his checking account. Since then he made deposits of $260 and $428 and wrote checks for $62, $106, $126, and $195. When all of the deposits are recorded and all of the checks clear, what will balance will he have in his checking account?
Answers
Answer:
238
Step-by-step explanation:
299+428-62-106-126-195
727-62-106-126-195
665-106-126-195
559-126-195
433-195
238
The ratio 3/8 has a unit rate of 3/16 true or false
Answers
I need it done very quick pls help
Answers
A 20 foot ladder is leaning against a 25 foot building. The bottom of the ladder is 9 feet away from the building. How high is the top of the ladder above the ground?
Answers
Answer:
17.9 feetStep-by-step explanation:
This is a right triangle
the 20 foot ladder is the hypotenuse
The 9 foot at the bottom is one leg
The height is the remaining leg
Use the pythagorean theorem
a² + b² = c²
a² + 9² = 20²
Subtract 9² from both sides
a² = 20² - 9²
a² = 400 - 81
a² = 319
Take the square root of both sides
a = 17.860571099491752
rounded
17.9 feet
Answer:
A ladder is the hypotenuse of the right triangle.
Missing leg is x.
Use Pythagorean:
x² = 20² - 9²x² = 319x = √319x = 17.86 feet or 18 feet roundedplease try to answer quickly because my brainly app keeps crashing before i get the answer.
Answers
Answer:
Explanations:
The formula for calculating the surface area of a sphere is given as:
\(SA=4\pi r^2\)Determine the radius of the sphere given the Circumference 4cm. Recall that;
\(\begin{gathered} C=4cm \\ 2\pi r=4 \\ r=\frac{4}{2\pi} \\ \end{gathered}\)Substitute the resulting radius into the sphere's surface area
\(\begin{gathered} SA=4\pi\cdot(\frac{4}{2\pi})^2 \\ SA=4\pi\cdot\frac{16}{4\pi^2} \\ SA=\frac{16}{\pi} \\ SA=\frac{16}{3.14} \\ SA=5.096\approx5cm^2 \end{gathered}\)Hence the surface area of the spherical object is 5 squar
3x + 12y = −8 in intercept form
Answers
Answer:
y=-1/4x-2/3
Step-by-step explanation:
12y= -3x-8
Divide by 12
Y=-3x-8/12
Simplify the equation
Solution
Y= -1/4x - 2/3
How to solve (2.31*10^-6)+(3.41*10^3)
Answers
As per given by the question,
There are given that the equation,
\((2.31\times10^{-6})+(3.41\times10^3)\)Now,
From the given equation,
\((2.31\times10^{-6})+(3.41\times10^3)\)Then,
\((2.31\times10^{-6})+(3.41\times10^3)=(2.31\times\frac{1}{10^6}^{})+(3.41\times10^3)\)Then,
\(\begin{gathered} (2.31\times10^{-6})+(3.41\times10^3)=(2.31\times\frac{1}{10^6}^{})+(3.41\times10^3) \\ =\frac{2.31}{10^6}+(3.41\times10^3) \\ =\frac{2.31}{1000000^{}}+(3.41\times1000^{}) \\ =0.00000231+34109 \\ =3410.00000231 \end{gathered}\)Hence, the value of the given equation is, 3410.00000231.
A company needs to take 10 sample sensor readings if the sensor collects data at 1/3 of a sample per second how long will it take the company to take all 10 samples
Answers
Given:
Sample space = 10
Rate = 1/3 per second
This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.
A. 30%
B. 0.8%
C. 20%
D. 80%
Answers
Answer:
D. 80%
Step-by-step explanation:
15-3 = 12
12/15 = 4/5 = .8
80%
The sum of 7b + 3, -4b + 5, and -3b + 2
Answers
Answer:
10
Step-by-step explanation:
You combine all of the like terms
7b + (-4b) + (-3b)=0
3+5+2=10
What is the correct form of the partial fraction decomposition for StartFraction 6 x + 7 Over (x + 2) squared EndFraction?
StartFraction A Over x + 2 EndFraction + StartFraction B Over (x + 2) squared EndFraction
StartFraction A Over x + 2 EndFraction + StartFraction B x + C Over (x + 2) squared EndFraction
StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C Over (x + 2) squared EndFraction
StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C x + D Over (x + 2) squared EndFraction
Answers
Answer:
its B
Step-by-step explanation:
edge 2020-2021
Answer:
The answer's B!
Step-by-step explanation:
I got it right on Edge 2021! :)
A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
The radius of the cylinder is equal to 10 feet.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters into the formula for the volume of a cylinder, we have the following;
V = πr²h
1,570 = 3.14 × r² × 5
1,570 = 15.7r²
r² = 1,570/15.7
r² = 100
Radius, r = √100
Radius, r = 10 feet.
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Kite ABDC is shown. What is the value of x?
Answers
In a kite, one diagnal bisects the angle its passes through. This means that
4x - 5 = 2x + 35
4x - 2x = 35 + 5
2x = 40
x = 40/2
x = 20
For the given kite ABDE, the value of x will be 20. Option D is correct.
What is quadrilateral?It is defined as a four-sided polygon in geometry having four edges and four corners.
It is given in the figure, the two angles are (4x-5) and (2x+35).
Since the kite has two sets of congruent sides, we know it is a quadrilateral. It has a single pair of incongruent, opposing angles. A kite's diagonals are perpendicular. One diagonal is split in half. Although the top and bottom angles are divided in half, the diagonals are not congruent.
One diagonal in a kite divides the angle it traverses. It follows that
4x - 5 = 2x + 35
4x - 2x = 35 + 5
2x = 40
x = 40/2
x = 20
Thus, for the given kite ABDE, the value of x will be 20. Option D is correct.
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Find the domain : 15 - sq root (x+2)
Answers
Answer:
x ≥ -2
Step-by-step explanation:
18/6 as a whole number?
Answers
The answer is 3
Explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. 3
Answer:
its 3
Step-by-step explanation:
Find the area of the isosceles triangle formed by points of intersection of the parabolas y=-x2+9 and y=2x2+3 and the origin.
Answers
Answer:
10
Step-by-step explanation:
*I’m assuming that you meant y = 2x^2-3 because that is what my RSM problem was and it was exactly the same problem other than that.* First you want to find the points of intersection of the two parabolas. You can choose to graph them or do any other method. Anyways, the points of intersection are: (2,5) and (-2,5). You now want to add (0,0). So obviously (2,5) to (-2,5) is the base and it is 4 units. The height is 0 to 5 which is 5 units. Do (4*5)/2 and you get 10. Hope this helped you with your RSM and let me know if I assumed correctly.
Lesson 1.17
Quadrilateral ABCD is congruent to quadrilateral
A'B'C'D'. Describe a sequence of rigid motions that
takes A to A', B to B', C to C', and D.
please im begging you please help!!!
Answers
Answer:
You will translate A up until it is equal with A', then you will reflect the figure over the line of symmetry that will be half way between line segments CD and C'D'
Step-by-step explanation:
I am not sure if the polygon is drawn on a coordinate plane. I cannot see any horizontal or vertical lines to tell you exactly how many units to move up.
2218388 of the 4031887
Answers
Answer:
Boi what?
Step-by-step explanation:
This is not a proper question. You need to include more information
lled a 12:3:112:3:1 ratio. Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2:131F2:131 white squash, 3434 yellow squash, and 1010 green squash. Are these data consistent with a 12:3:112:3:1 dominant epistatic model of genetic inheritance( white being dominant)? The null hypothesis for the chi‑square goodness‑of‑fit test is
Answers
Here is the full question:
When a species has several variants of a phenotype passed on from generation to generation, we can form a hypothesis about the genetics of the trait based on Mendelian theories of genetic inheritance. For example, in a two-gene dominant epistatic model, the first gene masks the effect of the second gene, leading to the expression of three phenotype variants. Crossing the dominant and recessive homozygote lines would result in a second generation represented by a mix of dominant, intermediate, and recessive phenotype variants in the expected proportions: and respectively, also called a 12:3: 1 ratio.
Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2: 131 white squash, 34 yellow squash, and 10 green squash. Are these data consistent with a 12: 3: 1 dominant epistatic model of genetic inheritance( white being dominant)?
The null hypothesis for the chi-square goodness-of-fit test is
Answer:
The null hypothesis for the chi-square goodness-of-fit test is :
\(\mathbf{H_o:p_{white} = \frac{12}{16}, p_{yellow} = \frac{3}{16}; p_{green} = \frac{1}{16} }\)
Step-by-step explanation:
The objective of this question is to state the null hypothesis for the chi-square goodness-of-fit test.
Given that:
There are three colors associated with this model . i,e White , yellow and green and they are in the ratio of 12:3:1
The total number of these color traits associated with this model = 12 + 3 + 1 = 16
Thus ;
The null hypothesis for the chi-square goodness-of-fit test is :
\(\mathbf{H_o:p_{white} = \frac{12}{16}, p_{yellow} = \frac{3}{16}; p_{green} = \frac{1}{16} }\)
6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32
Answers
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
Answers
Answer:
0.2196
Step-by-step explanation:
Given that
Mean = 4.56 million visitors per day
Standard deviation = 820,000 visitors per day
According to the given situation the calculation of probability is shown below:-
Here we will find the value of P (3 ≤ X ≤ 4)
\(P 93\leq X\leq 4)=P(X\leq 4) - P(X\leq 3)\)
\(\\=P(\frac{X-\mu}{\sigma}\leq \frac{4-4.56}{0.82})-P(\frac{X-\mu}{\sigma}\leq \frac{3-4.56}{0.82})\)
\(\\=P(Z\leq -0.683)-P(Z\leq -1.9024\)
= 0.2483 - 0.0287
= 0.2196
Therefore the probability that the web site has between 3 million and 4 million visitors in a single day is 0.2196
Sphenathi and other matriculants plan to pass Bloemfontein at 07.25 to travel the above stated distance to Uptington. Determine (to the nearest km/h) the average speed at which they must travel to be in Uptington by 09:45.
Answers
Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.
The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:
2 hours + 20 minutes / 60 = 2.33 hours
Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.
We can use the formula for average speed: average speed = distance / time
In this case, the average speed should be such that the distance divided by the time is equal to the average speed.
d / 2.33 = average speed
Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:
250 / 2.33 = average speed
To find the average speed to the nearest km/h, we'll calculate the result:
average speed ≈ 107.3 km/h
Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
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