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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The graph of function f is shown below. Find f(-4)
Answer:
pls give the correct question the question is not correctYou supervise the feeding of dogs at a kennel you use an average of 10 1/2 pounds of dog food each day.at the rate how many pounds of dog food will you use In 7 days
Answer:
73.5 pounds of dog food in 7 days
Step-by-step explanation:
10 1/2 x 7
10x 7 =70
1/2 x 7 = 3.5
70 + 3.5 =73.5 pounds of dog food in 7 days
Edgar Elementary
School is having a reading contest. Six
fourth-grade classes each set a goal to read
1,266 pages. Six fifth-grade classes each
set a goal of 2,212 pages. How many more
pages does each fifth-grade class have to
read than each fourth-grade class?
Answer:3333
Step-by-step explanation:
Rest of the options
Yep, it's C. The answer is C
someone help me i really need it!
NO BOTS
Answer:
11
Step-by-step explanation:
the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps
The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences
Step-by-step explanation:
2 = 0.5^x - 4 is the same as
6 = 0.5^x
x is the logarithm of 6 to the base of 0.5.
which is the same as
log(6)/log(0.5) = -2.584962501...
Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).
The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is [tex]y=-12(x+2)^2+5.5[/tex]
The vertex form of the equation of a parabola is:
[tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex of the parabola
(x, y) is the point that the parabola passes through
The vertex, (h, k) = (-2, 5.5)
The point, (x, y) = (-2.5, 2.5)
Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.
[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]
Therefore, the equation of the parabola is:
[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]
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A Ferris wheel can accommodate 70 people in 15 minutes how many people can ride in 3 hours
Answer: 840 people?
Step-by-step explanation:
Write 34% as a fraction in simplest form
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
[tex]\frac{17}{50}[/tex]
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]
The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent
Answer:
The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.
Step-by-step explanation:
Firstly, make all ratios into units:
Let Ronny = 4 units, Doug = 5 units,
Ronald = 8 units, Total = $3723
4 units + 5 units + 8 units = 17 units
17 units = $3723
1 unit = $3723 ÷ 17
1 unit = $219
Given that 1 unit is equals to $219. Let find the amounts:
Ronny = 4 × 219 = $876
Doug = 5 × 219 = $1095
Ronald = 8 × 219 = $1752
I need help on this please help
Answer:
4
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4
please help me mathematics = x²+2x-24=0
Answer:
x=4
or
x=-6
Step-by-step explanation:
did you know u can solve that equation on your calculator without much struggle?
Answer:
Factors = > (x - 4) (x + 6)Value = > x = 4, -6Step-by-step explanation:
= > x^2 + 2x - 24
= > x^2 + 6x - 4x - 24
= > x(x + 6) - 4(x + 6)
= > (x - 4) (x + 6)...ans
x = -6 , 4
Hope it helps you!!Which expression is the additive inverse of -5/8?
A) 8/5
B) 5/8
C) -5/8
D) -8/5
Answer:
b
Step-by-step explanation:
Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9
21x/8−3y=−6
whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!
evaluate: (5/6 + 2/3) - (3/4 + 1/12)
answer as a fraction in simplest form
Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?
Solution:-
Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]
Take the LCM of denominator 3 and 6 is 6.
Again take the LCM of denominator 4 and 12 is 12.
so,
⟼ [(5+4)/6 - (9+1)/12]
⟼ [9/6 - 10/12]
Now, take the LCM of the denominator 9 and 12 is 36.
⟼ [(54-30)/36]
Now, reduce the fraction by extracting and cancaling out with 2.
⟼ [24÷2/36÷2]
⟼ 12/18
⟼ 6÷3/9÷3
⟼ 2/3
Answer↓
Therefore, Evaluated form is 2/3.
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The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12 mice?
Answer:
18
Step-by-step explanation:
you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18
What is the equation of this line?
y= 1/2+2
y = 2x + 2
y= 1/2x-2
y = 2x - 2
HELP ME PLEASEEE ILL GIVE BRAINLIEST
Answer:
y=2x-2
You use rise/run in this problem
Write the product as a power.
18 x 18 x 18 x 18 =
Answer:
[tex]18^{4}[/tex]
Step-by-step explanation:
You multiply it by itself 4 times, therefore being 18 to the power of 4
Answer:
[tex]18^{4}[/tex]
Step-by-step explanation:
A power is simply how many times a number is multiplied by itself. Since the question is 18 multiplied by itself four times (count the number of 18s), the power is 4.
What is the value of x in this triangle?
56.51°
.58°
28.89°
33.49°
Answer:
x = 33.49°
Step-by-step explanation:
The relevant trig ratio is the sine:
Sin = Opposite/Hypotenuse
siin(x) = 32/58
The angle measure is found using the inverse function:
x = arcsin(32/58) ≈ 33.49°
Answer:
i got 32 is it 32 cause i put 33 cause it was closer
Step-by-step explanation:
The GDP per capita of ten arab countries is given in US Dollars. Find the median: 22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249 (1 Point 12057 O None of these 0 11764.5 O 17791
Answer:
11764.5Step-by-step explanation:
Given numbers:
22865, 37749, 3046, 5738, 69687, 3980, 29266, 3345, 17791, 1249Put the numbers in ascending order:
1249, 3046, 3345, 3980, 5738, 17791, 22865, 29266, 37749, 69687Since the set is even, the median is the average of the middle numbers:
(5738 + 17791)/2 = 11764.5A radio station runs a promotion at an auto show with a money box with 12 $100 tickets, 11 $50 tickets, and 11 $25 tickets. The box contains an additional 20
"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $100 prizes and no other money winners are chosen.
Answer:
I wanna have fun sike lol
Step-by-step explanation:
What is the least common denominator of 10/19 and 2/13
Answer:
Step-by-step explanation:
Step 1 find the least common multiple of lcm of the denominators
Need help! attachment below. will give brainlist
Answer:
In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .
Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).
Step-by-step explanation:
Hope it helps!
The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?
3
Step-by-step explanation:
i need help to
solve pls brainliest
Answer:
23.4
Step-by-step explanation:
23.4
Answer:
23.40
Step-by-step explanation:
what is 282.74 in terms of pi
Answer:
90π
Step-by-step explanation:
282.74 / π
282.74 / 3.14159 = 90
282.74 = 90π
A boy dressed in a robot costume weighs a total of 50 7/8 lb. If the costume itself weighs 3 1/2 lb, how much does the boy weigh?
The weight of the boy in the robot costume is 351/8 lb or 43 7/8 lb.
To find the weight of the boy, we need to subtract the weight of the costume from the total weight of the boy in the costume.
Total weight of boy and costume = 50 7/8 lb
Weight of costume = 3 1/2 lb
To find the weight of the boy, we can subtract the weight of the costume from the total weight:
Weight of boy = Total weight - Weight of costume
Convert both the total weight and the weight of the costume to improper fractions:
Total weight = 50 + 7/8 = 400/8 + 7/8 = 407/8 lb
Weight of costume = 3 + 1/2 = 6/2 + 1/2 = 7/2 lb
Now, subtract:
Weight of boy = (407/8) lb - (7/2) lb
To perform subtraction, we need to have a common denominator, which is 8 in this case:
Weight of boy = (407/8) lb - (56/8) lb
Now, subtract the fractions:
Weight of boy = (407 - 56)/8 lb
Weight of boy = 351/8 lb
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Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth
Answer:
64.53
Step-by-step explanation:
56.213 rounds to 56.21
7.983 rounds to 7.98
0.344 rounds to 0.34
Next you do 56.21 + 7.98 + 0.34 = 64.53
All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.
Here the numbers are,
56.213
Since the value in the thousandth place is 3 which is less than 5.
Hence round the number down.
56.21
7.983
Since the value in the thousandth place is 3 which is less than 5.
Hence round the number down.
7.98
0.344
Since the value in the thousandth place is 4 which is less than 5.
Hence round the number down.
0.34
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Multiplications that give 48 as a result
Answer:
1 ×48=48
2×24=48
3×16=48
4×12=48
6×8= 48
Please help!
Find the equation of this line.
Answer:
y = 1/3x + 2
Step-by-step explanation:
Slope - Intercept Form = y = mx + b
y - intercept = b = 2 (point of intersection of the y-axis)
m = slope
Slope = Change in Y/Change In X
You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3
Equation : y = mx + b
Equation : y = 1/3x + 2
-Chetan K
Answer:
Step-by-step explanation:
Equation : y = mx + b
Equation : y = 1/3x + 2