Find the argument of the complex number 2 = 4+ 3i to the nearest whole degree.
Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.
The standard format of a complex number is:
[tex]z = a + bi[/tex]
In which:
a is the real part.b is the imaginary part.The argument is given by:
[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]
In this problem, the number is:
[tex]z = 4 + 3i[/tex]
Hence, [tex]a = 4, b = 3[/tex], and:
[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]
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Order the numbers –0.5, 1.25, 0.75, and –1.08 from least to greatest.
Answer:
Least to greatest
0.75 , 1.25 , -1. 08 , -0. 5
Step-by-step explanation:
Hope my answer helps you
maya used a drwaing to divide 86 she made groups of 17 with 1 left over. Draw a picture to determine how many groups may made.
Check the picture below.
The number of groups that may make will be 5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Maya utilized a drawing to partition 86 she made gatherings of 17 with 1 remaining over.
Then the number of the groups that may make will be given as,
⇒ (86 - 1) / 17
Simplify the expression, then we have
⇒ (86 - 1) / 17
⇒ 85 / 17
⇒ 5
The number of groups that may make will be 5.
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will give 25 for answering correct
Answer:
C) y + 1 = -5(x - 1)
Step-by-step explanation:
Given:
m = -5
(1, -1)
We just simply use the point-slope formula and plug in:
y - y1 = m(x - x1)
y - (-1) = -5(x - 1)
y + 1 = -5(x - 1)
3. Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads total. How many cows and how many chickens are on the farm? a. Explain what 128 represents, and how it relates to the cows and chickens. b. Explain what 48 represents, and how it relates to the cows and chickens. Setup a system, of two equations, to help you solve this riddle. d. Solve this system using either Elimination or Substitution, show your work, and state your answer as a complete sentence. C.
PLS HURRRRRRY its due tomorrow
Answer:
There are 16 cows and 32 chickens on the farm.
Step-by-step explanation:
First, each cow and chicken has one head each, obviously. That means that the 48 corresponds to the total number of animals on Farmer John's farm. Since chickens have 2 legs and cows have 4 legs, that means that the 128 represents the separate amount of cows and chickens there are. We can let c equal the number of cows, and h equal the number of chickens. We know that the total number of animals is 48, so c + h = 48. We know that for each cow, there are 4 legs, and for each chicken there are 2 legs, so 4c + 2h = 128.
Now, we can solve by substitution. Multiplying the first equation by 2, we have 2c + 2h = 96. We can subtract this from the second equation to get 2c = 32, and c = 16. That means there are 16 cows on the farm, and since c + h = 48, there are 48 - 16 = 32 chickens on the farm.
The number of chicken are 32 and the number of cows is 16, 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows, and 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.
Given :
Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads in total.
a) Remember a cow has one head and 4 legs and a chicken has one head and 2 legs.
Let the total number of chickens be 'x' and the total number of cows be 'y'. Then the total number of heads are:
x + y = 48
x = 48 - y --- (1)
The linear equation that represents the total number of legs is given by:
2x + 4y = 128 --- (2)
Now, substitute the value of 'x' in equation (2).
2(48 - y) + 4y = 128
96 - 2y + 4y = 128
2y = 32
y = 16
Now, substitute the value of 'y' in equation (1).
x = 48 - 16
x = 32
So, the number of chicken are 32 and the number of cows are 16.
b) 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows.
c) 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.
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For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he
earns $2,000?
Answer:
$500 donated to charity
Step-by-step explanation:
2,000 times 0.25 is 500
Answer:
$1500
Step-by-step explanation:
Oliver gives 1/4 of the amount he gets paid to charity therefore
2000/4= 500 (this is 1/4 of the amount he gets paid)
2000-500=$1500
He is left with $1500
Which table does NOT represent a linear function?
Answer:
3rd
Step-by-step explanation:
3rd one because rate of change is not same
18 - 15 / 0 - -1 = 3
20 - 18 / 1 = 2
21 - 20 / 1 = 1
Answer: i honestly think it would be the table with:
-1,15
0,18
1,20
2,21
Step-by-step explanation: hope this helped ty for the points
Round 0.13171 to the thousandths place (three decimal places).
A 52-centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece is 4 cm longer that the shortest piece. How long is each piece?
Answer:
4c 6th fastest 9.I gghiii
PLEASE HELP WITH THIS ONE QUESTION
Answer:
X = 0 or X = -2
Step-by-step explanation:
2x^4 + 16x = 0
x^4 + 8x = 0
x(x+2) (4+x^2_2x) = 0
x + 2 = 0
or
4+x^2_2x=0
16.12 divided by 52 QUICK
0.31
Ok Hope it’s correct ;)
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive.
Answer: Answer below.
Step-by-step explanation:
Because one child was not hungry and the cake was cut into 6 equal pieces, this mean one person got 2/6 or 1/3 of the cake and the rest got 1/6 other than the child who was not hungry. I can't draw this but you want to draw a child with 2 equal slices of the cake, one with no slices, and 4 more with 1/6 slices of the cake. Sorry I couldn't draw it, but hope this helps!
SLOVE
18(5)
A. 95
B. 90
C. -90
D. -95
Answer:
90
Step-by-step explanation:
do 18x5
14
HI=14 and
J
H
=
15
JH=15. Find the length of
I
J
.
IJ.
Answer: IJ = 15
J
15. x
H. I
14
Two congruent Angles —-> Isosceles Triangle
Opposite sides must be congruent.
J
15 15
H. I
14
Describe in words a sequence of transformations that maps ABC to A' B' C
Write an ordered-pair rule for this sequence of transformations.
Answer:
A reflection over the y-axis followed by a translation 4 units down
Step-by-step explanation:
hope this helps!
Find the average rate of change of the function from x=1 to x=2.
f(x)=−10/x^2
Enter the exact answer.
Average rate of change =
Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
CRITICAL THINKING Is it more difficult to walk up the ramp or the hill? Explain.
The ramp walk is more difficult than the hill. Those who know can only be about that.
please help i am stuck
Explanation:
All of these are done the same way.
1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.
2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".
3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".
4. A line through the original point and point R will be perpendicular to the line, as you want.
_____
In problem 1, the point and line are obvious.
In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)
Nina and Jo both ran a 9 km race.
Nina took 1 hour 15 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 6 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
9514 1404 393
Answer:
7.83 km/h
Step-by-step explanation:
At her constant pace, Nina's time for 6 km will be found by the proportion ...
(time for 6 km)/(6 km) = (time for 9 km)/(9 km)
time for 6 km = (6 km)/(9 km) × (75 min) = 50 min
Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...
speed = distance/time
= (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed
_____
Additional comment
From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.
calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii
Take the Laplace transform of both sides:
L[y'' - 4y' + 8y] = L[δ(t - 1)]
I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :
(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]
s²Y - 4sY + 8Y = exp(-s)
(s² - 4s + 8) Y = exp(-s)
Y = exp(-s) / (s² - 4s + 8)
and complete the square in the denominator,
Y = exp(-s) / ((s - 2)^2 + 4)
Recall that
L⁻¹[F(s - c)] = exp(ct) f(t)
In order to apply this property, we multiply Y by exp(2)/exp(2), so that
Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)
Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)
Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)
Then taking the inverse transform, we have
L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]
L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]
L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]
Next, we recall another property,
L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)
where F is the Laplace transform of f, and u(t) is the unit step function
[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]
To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is
L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)
Then we find
L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))
and so we end up with
y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)
6. Jasper pays $42.8 for his cell phone. Marco pays $38.15 for his cell phone plan.
How much more does Jasper pay? Do not use a $ sign. Just type in the numbers.
Answer: 4.65
Step-by-step explanation: 42.80 - 38.15 = 4.65
A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month all of their patients lost at8lb least . Last month more than half of their patients lost at least 8lb. Last month some of their patients lost more than4lb . Last month at least one of their patients lost exactly 8lb. Two months ago some of their patients lost at least 8bl. None of the above statements are true.
Answer:
Given:
A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs
Average refers to mean
a. Last month all of their patients lost at least 8 lbs.
Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False
b. Last month at least one of their patients lost exactly 8 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.
c. Two months ago some of their patients lost at least 8 lbs.
Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.
d. Last month at least one of their patients lost less than 3 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.
e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.
Answer: Mean is a measure of central tendency which is computed by the diving sum of all observations with the number of all observations (the sum of observations lesser than the mean is compensated by the sum of observations greater than the mean) and for the mean equal to 8lbs, there should be an equal number of people who lost less than 8 lbs and the number of people who lost more than 8 lbs. Hence, this statement is True.
Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True
the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
Based on the information provided, we can make the following conclusions:
1. Last month, all of their patients lost at least 8 lb. (This statement is true since the average refers to the mean, and the average weight loss was 8 lb. Therefore, all patients must have lost at least 8 lb.)
2. Last month, more than half of their patients lost at least 8 lb. (This statement is true since the average weight loss was 8 lb, which means that at least half of the patients must have lost 8 lb or more. As the average is pulled up by higher values, more than half should have achieved at least 8 lb weight loss.)
3. Last month, some of their patients lost more than 4 lb. (This statement is true since the average weight loss was 8 lb. If the average is 8 lb, then there must be patients who lost more than that, and losing more than 4 lb is definitely possible.)
4. Last month, at least one of their patients lost exactly 8 lb. (This statement is true since the average weight loss was 8 lb. For the average to be exactly 8 lb, at least one patient must have lost exactly 8 lb.)
5. Two months ago, some of their patients lost at least 8 lb. (There is no information provided in the given data to make any claims about weight loss two months ago, so we cannot conclude this statement based on the information given.)
So, the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
The statement "Two months ago some of their patients lost at least 8 lb" cannot be determined from the given information, so it is not necessarily true or false based on the data provided.
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anna is 5ft tall and has a shadow that is 3ft long. she is standing next to the stop sign if the sign’s shadow is 4.5 ft long how tall is the stop sign
Answer:
6.5 feet
Step-by-step explanation:
Anna's shadow is 2 feet shorter than her. So, therefore, the stop sign is 2 feet taller that its shadow.
Use logarithms to find the exact solution for 7(17^−9)−7=49.
PLEASE GIVE ME THE ANSWER ASAP
What is the solution to this system of linear equations?
5x + 6y = 29
3x + 6y = 27
A. (7,1)
B. (1,7)
C. (4,1)
D. (1.4)
Answer:
no answer b/c the terms are unlike term
Answer:
D. ( 1,4)
Step-by-step explanation:
A coin is tossed 4 times. What are the odds against the coin showing tails all 4 times?
Answer:
1/16
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]
if f(x) = 7(x-1) + 8 , what is rhe value of f(11) ?
Answer:
f(11)=78
Step-by-step explanation:
f(11)=7(11-1)+8
f(11)=77-7+8
f(11)=78
Answer:
F(11) = 78
Step-by-step explanation:
f(11) means that you would just have to replace “x” on the equation with 11 and then solve;
=> f(11) = 7(11 - 1) + 8
=> f(11) = 7(10) + 8
=> f(11) = 70 + 8
=> f(11) = 78
therefore the answe is 78
Hope this helps!
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Negative association
Positive association
Nonlinear association
5) Which has more people? A car that is
full or a car that is full?
Answer:
a car that is full
Step-by-step explanation:
Answer:
mm definitely a car that is full
Step-by-step explanation:
MATH
Which equation would you use to solve the following situation? If everybody on the team scores 4 points, and the team has a total of 28 points, how many people are on the team? 7 p = 28 4 p = 28 28 - p = 4 4 + p = 28
Answer:p=7
Step-by-step explanation:4x7=28