Answer:
The argument is 290.6°
Step-by-step explanation:
For a complex number:
Z = a + b*i
The argument is:
θ = Atan(b/a)
Where Atan(x) is the inverse function of the tangent function, such that:
Atan(tan(x)) = x
tan(Atan(x)) = x
In this case, we have the complex number:
Z = -3 + 8*i
The argument of this complex number will be:
θ = Atan(8/-3) = -69.4°
But we want 0°< θ <360⁰
Also, remember that the trigonometric functions have a periodicity of 360°
Then:
cos(θ + n*360°) = cos(θ)
With n integer.
This means that our angle is equivalent to:
-69.4° + 360° = 290.6°
Then the argument is 290.6°, this one is on the desired interval (0°, 360°)
Which set of output values correctly completes the function table y=2x-4
Answer:
Step-by-step explanation:
URGENT PLEASE HELP!!!!
Use the figure to find the measures.
Area triangle DEF =
Answer:
The scale factor is the ratio of corresponding sides:
k = DE/AB = 1/4The area is the product of two dimensions so the ratio of areas is:
k² = (1/4)² = 1/16The area of ΔDEF:
A = 12*1/16 = 3/4 or 0.75Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n – 1)
completa la tabla sobre el caso 6
Answer:
no me deja ver
Step-by-step explanation:
COLLEGE MATH!!! PLEASE HELP IF YOU KNOW!!!
Answer:
[tex]-\frac{3}{2}[/tex] + [tex]\ln \left(3\right)[/tex]
Step-by-step explanation:
[tex]\int _{-2}^3\:g\left(t\right)dt[/tex] = [tex]\int _{-2}^1\:g\left(t\right)dt[/tex] + [tex]\int _{1}^3\:g\left(t\right)dt[/tex] = [tex]\int _{-2}^1\:\left(t\right)dt[/tex] + [tex]\int _{1}^3\:\frac{1}{t} dt[/tex] = [tex]\left[\frac{t^{1+1}}{1+1}\right]^1_{-2}[/tex] + [tex]\left[\ln \left|t\right|\right]^3_1[/tex]
= [tex]\left[\frac{t^2}{2}\right]^1_{-2}[/tex] + [tex]\ln \left(3\right)[/tex] = [tex]-\frac{3}{2}[/tex] + [tex]\ln \left(3\right)[/tex]
Question #2, show how you know
Answer: Choice B is correct.
==================================================
Explanation:
We are told that the derivative function f ' (x) is positive for all real numbers x. This means that f(x) is increasing for all real numbers. An increasing function goes uphill as you move from left to right. This rules out choices C and D.
We're also told that the integral of f(t), from t = 4 to t = 7, is equal to 0. Because f(x) is increasing, this must mean that some portion of f(x) is below the x axis and some portion is above the x axis when focused on the interval of [tex]4 \le x \le 7[/tex]. This allows us to rule out choice E since there are no portions that are below the x axis here.
At this point, the answer is between A and B. We can rule out choice A for similar reasoning we did with choice E. This time, there is no portion that is above the x axis. We need a negative area (below the x axis) to counterbalance with a positive area (above the x axis) so that the two areas cancel out and add to 0. That doesn't happen with choice A.
The only thing left is choice B so that must be the answer. We have a portion below the x axis and a portion above it, so it's possible that these two areas cancel out to add to 0. Since we don't know the actual f(x) function, it's impossible to tell whether that happens or not.
A bottler of drinking water fills plastic bottles with a mean volume of 993 milliliters (mL) and standard deviation of 4 mL. The fill volumes are normally distributed. What proportion of bottles have volumes between 991 mL and 997 mL?
Answer:
52.38%
Step-by-step explanation:
P(991<X<997) = normalcdf(991,997,993,4) = 0.5328, therefore, about 52.38% of the bottles have volumes between 991 mL and 997 mL
The required proportion of bottles have volumes between 991 mL and 997 mL is 53.28%
Given that,
A bottler of drinking water fills plastic bottles with a mean volume of 993 milliliters (mL),
And standard deviation of 4 ml. The fill volumes are normally distributed.
We have to determine,
What proportion of bottles have volumes between 991 mL and 997 mL.
According to the question,
Mean of the drinking bottle = 993ml
[tex]\mu = 993[/tex]
And standard deviation of = 4 mL
[tex]\sigma = 4[/tex]
The proportion of bottles have volumes between 991 mL and 997 mL is,
[tex]= P (991<X<997) \\\\= P ( \dfrac{991-993}{4} <X < \dfrac{997-993}{4}) \\\\P( -0.5 < X < 1) = 0.5328 = 53.28\ percent[/tex]
Hence, The required proportion of bottles have volumes between 991 mL and 997 mL is 53.28%.
To know more about Proportion click the link given below.
https://brainly.com/question/4312900
where happened if you have sex
Answer:
you have a chance of having a baby...
Answer:
chance of relief stress and having a baby
Step-by-step explanation:
hope it helps you
In ΔNOP, the measure of ∠P=90°, PO = 48, NP = 55, and ON = 73. What is the value of the sine of ∠N to the nearest hundredth?
Answer:
[tex]\sin(N) = 0.66[/tex]
Step-by-step explanation:
Given
[tex]\angle P = 90^o[/tex]
[tex]PO = 48; NP = 55; ON = 73[/tex]
Required
[tex]\sin(N)[/tex]
The given parameters is illustrated with the attached image.
From the attached, we have:
[tex]\sin(N) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(N) = \frac{PO}{ON}[/tex]
[tex]\sin(N) = \frac{48}{73}[/tex]
[tex]\sin(N) = 0.66[/tex] -- approximated
wyatt earns 21$ for painting fences for 3 hours, if wyatt charges at the same rate how many hours will it take him to earn 28?
Answer:
4 hours
Step-by-step explanation:
[tex]\frac{28}{21} :\frac{y}{3}[/tex]
21 · y = 3 · 28
21y = 84
21y ÷ 21 = 84 ÷ 21
y = 4
Each student at Riverside Elementary has a student ID number made up of six numbers between 1 and 9. How many possible student ID's can be made? A. 60,480 B. 117,649 C. 531,441 D. 1,000,000. Please put a good explanation, I need to figure this out soon!
Answer:
C. 531,441
Step-by-step explanation:
You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.
What is the absolute value of -9
Answer:
9
Step-by-step explanation:
the absolute value of a number is just how far away it is from 0, -9 is 9 away from 0. The absolute value of a number is always positive.
9.Find the area of each parellelogram.
Answer:
d. 8m2
Step-by-step explanation:
You multiply the base times the height
What number plus 12 divided by 3 is 92
Answer:
Step-by-step explanation:
The answer is 264.
Hope it helped you.
Plz mark me brainliest.
Answer:
[tex]264[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex] \frac{x + 12}{3} = 92 \\ x + 12 = 92 \times 3 \\ x + 12 = 276 \\ x = 276 - 12 \\ x =26 4[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
Answer this simple quick question!! Pls :)
Answer:
Either B or C.
Step-by-step explanation:
Sorry if that is not very helpful. I would do C but I am not 100% sure. so sorry.
Pls help me with this
Answer:
area i belive u add or multiply look it us it will tell u
Answer:
I think the answer is 108.04
3 times the difference of 4 and 2 equals
Answer:
6
Step-by-step explanation:
4-2 = 2 2x3 = 6
Answer:
6
Step-by-step explanation:
4-2=2
2x3=6
Help plz:)))I’ll mark u Brainliest
Answer:
Step-by-step explanation:
if the radius is one (1) and the also h is one (1) we can see that 2/3 pi for the hemisphere is going to be much larger than 1/3 pi for the cone
Question 1
Upon retirement your mother received E 500, 000 lump sum. She expect to live for the next 15 years and will only depend on the retirement fund for income. Her bank offers 12% interest per annum. Advise your mother on how much she should withdraw from her bank at the end of each year for the duration of the desired life span? [10 marks]
Answer:
You'll need to look at the attached formula.
Annual Payout = 500,000 * .12 * (1.12)^15 / [(1.12)^15 -1]
Annual Payout = 500,000 * .12 * 5.4735657593 / [ 5.4735657593 -1]
Annual Payout = 500,000 * .12 * 5.4735657593 / [4.4735657593]
Annual Payout = 60,000 * 5.4735657593 / [4.4735657593]
Annual Payout = 73,412.12
Source: http://www.1728.org/annupay.htm
That's a LOT of calculating :-)
Step-by-step explanation:
is table salt an Electrolyte?
Answer:
v
Step-by-step explanation:
Answer: the two electrolytes are the key ingredients in table salt and salt tablets
Two electrolytes, sodium and chloride, are the key ingredients in table salt and in salt tablets. These tablets have been used for many years to treat heat cramps and restore electrolytes lost through sweating
Step-by-step explanation:
h(x)=3x^2−12x+16 what does h equal
Answer:
(x)=3x^2−12x+16
Answer- =3x2−12x+16
Step-by-step explanation:
Hope this helps :)
I need help asap! Thank you!
Answer:
A. 55°
Step-by-step explanation:
Complementary angles are angles that add up to give us 90°.
Since <A and <B are complementary angles, it implies that:
m<A + m<B = 90°
If m<A = 35°, therefore:
35° + m<B = 90°
Subtract 35° from each side
m<B = 90° - 35°
m<B = 55°
What is the area of singapore flyer wheel.
Answer:
33,700m2 Land area: Singapore Flyer stands on 33,700m2 or 363,000 ft2 – an area that will fit 172 tennis courts or 1,120 parking lots. 471 meters is the real answer to the problem
Step-by-step explanation:
Plz brainlist
What is the solution to the system of equations?
X - 3y – Z=-9
-2x + y + 2z = 3
2x + y + 3z = 8
Answer:
x = 1 y = 3 z = 1
Step-by-step explanation:
(1) x - 3y - z = -9 (2) -2x + y + 2z = 3 (3) 2x + y + 3z = 8
2x(1) 2x - 6y - 2z = -18 (2) -2x + y + 2z = 3
- 5y = -15 2y + 5z = 11
y = 3 2(3) + 5z = 11
6 + 5z = 11
5z = 5
z = 1
x - 3(3) - 1 = -9
x - 9 - 1 = -9
x - 10 = -9
x = 1
Note: If you write your equations across your paper, then the work can just flow down the paper. It makes it so much easier to show the work you have done. OK?
Assuming there are no leap years, what would the total 3-year cost be for a laptop that has an average lifespan of 10 years, when you purchased it for $780 and the daily cost to use it is $0.36
A $394.20
B$565.92
C$78.00
D$S1174 20
Answer:
Step-by-step explanation:
The total cost for the laptop for 3 years is $1174.20.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Cost of the laptop when purchased = $780
Daily cost = $0.36
Number of days in 3 years = 3 × 365 = 1095 days
Cost for the laptop for 3 years = 1095 × $0.36
= $394.20
Total 3 year cost = $394.20 + $780
= $1174.20
Hence the total cost for the laptop is $1174.20.
Learn more about Multiplication here :
https://brainly.com/question/4249909
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the side length of a triangle are 9,12 and 15. Which side will be opposite the right angle?
Answer:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
Answer:
c
Step-by-step explanation:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
What’s the answer If you know the correct answer I will give you brainlist
Answer:
The answer is -51.24
Step-by-step explanation:
-4.20×6.1÷1/2
= -4.20×6.1×2/1
= -4.20×12.2
= -51.240
can someone answer my questions please ._.
Answer:
wheres the question?
Step-by-step explanation:
Answer:
whats your question
Step-by-step explanation:
hahahbh
This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color
Answer:
3 red balls and 1 blue ball
If I travel at a constant speed of 70 miles per hour for 2 hours and 15 minutes, how far will I go? 1 point Your answer