Answer:
The x-coordinate is –4
The y-coordinate is –1
The point is in the quadrant Third quarter ( 3 )
I hope I helped you^_^
Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is
Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
PLEASE HELP! URGENT. the law of cosines is a2+b2-2abcosC=c2. Find the value of 2abccosC.
Answer:
D
Step-by-step explanation:
2ab*cos(C)=a^2+b^2-c^2
2ab*cos(C)=5^2+4^2-2^2=25+12=37
Answer:
The answer is 37
Step-by-step explanation:
The times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean
time of 140 seconds and a standard deviation of 20 seconds. A random sample of four bags is selected and the
mean time to pop the bags is recorded. Which of the following describes the sampling distribution of all possible
samples of size four?
This question is solved using the central limit theorem, giving an answer of:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
[tex]n = 4, \sigma = 20[/tex], thus:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]
Thus, the correct answer is:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207
please help meeeeeeeeeeeeee
Answer:
a)-2x(x+4x²)+3(x²+2x)
-2x²-8x³+3x²+6x
-2x²+3x²+6x-8x³
x²-8x³+6x
in descending order
-8x³+x²+6x
b)(4x-3)(4x+3)
4x(4x+3)-3(4x+3)
16x²+12x-12x-9
16x²-9
I hope this helps and sorry if it's wrong
Verificar que el volumen de ambas figuras es el mismo, para ello lleva a cabo el siguiente procedimiento:
a) Obtén una expresión para el volumen de la primera figura.
b) Transforma la expresión como una multiplicación de polinomios.
c) Identifica en tu resultado el área de la base prisma y su altura para concluir una igualdad.
Answer:
English for fast response
15 people are sharing $482 fairly between them. How many dollars should each person take?
Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form
In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.
Slope-intercept formula:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]
Point (0,0):
This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:
[tex]y = mx[/tex]
Slope:
When we have two points, the slope is given by the change in y divided by the change in x.
In this question, the two points are (0,0) and (-8,8).
Change in x: -8 - 0 = -8
Change in y: 8 - 0 = 8
Slope:
[tex]m = \frac{-8}{8} = -1[/tex]
Thus, the equation of the line, in slope-intercept formula, is:
[tex]y = -x[/tex]
For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520
The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:
1) Determine the Slope of the line by the Slope Equation for Secant Lines.
2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.
3) Write the resulting Equation of the Line.
Step 1:
The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:
[tex]m = \frac{8-0}{-8-0}[/tex]
[tex]m = -1[/tex]
Step 2:
The equation of the line is Slope-Intercept Form is now represented:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - Intercept.
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:
[tex]0 = -1\cdot (0) + b[/tex]
[tex]b = 0[/tex]
Step 3:
And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
Related question: https://brainly.com/question/18894159
what is the equation of the line that is parallel to the given line and passes through the point (-3,2)? no links.
Answer:
D) 4x +3y = -6
Step-by-step explanation:
paralell lines so m1 and m2 are equal
m = (3 +1 )/ (0 - 3 )
m = -4/ 3
y -2 = -4/3 (x +3)
y =-4x/3 -2
3y = -4x -6
4x +3y = -6
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
6.17 greater or less 61 87/100
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
Write these sums as decimals:
2/100 + 3/1,000 =
1/10 + 4/10,000 =
Answer:
1 ) 0.023
2 ) 0.1004
Step-by-step explanation:
2 / 100 + 3 / 1000
= 0.02 + 0.003
= 0.020 + 0.003
= 0.023
1 / 10 + 4 / 10,000
= 0.1 + 0.0004
= 0.1000 + 0.0004
= 0.1004
If f(1) = 4 and f(n) = f(n − 1) + 5 then find the value of f(5).
Answer:
25
Step-by-step explanation:
f(5)=5(5-1)+5
f(5)=5(4)+5
f(5)=20+5
f(5)=25
Answer:
f(5) = 24
Step-by-step explanation:
f(1) = 4
f(n) = f(n − 1) + 5
Let n = 2
f(2) = f(2 − 1) + 5 = 4+5 = 9
Let n = 3
f(3) = f(3 − 1) + 5 = f(2)+5 = 9+5 = 14
Let n = 4
f(4) = f(4 − 1) + 5 = f(3)+5 = 14+5 = 19
Let n = 5
f(5) = f(5 − 1) + 5 = f(4)+5 = 19+5 = 24
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276
Is student is reading a book about 370 words per minute convert this rate to words per hour
Answer: 22,200 words per hour.
Step-by-step explanation:
You can set up a proportion for this: 370 words/per 1 min= x words/ per 60 mins. Cross multiply and you get 22,200=1x which basically equals to 22,200 words per hour or 60 mins.
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2
What is the expected number of tails when a fair coin is tossed 100 times?
Answer:
50 times
Step-by-step explanation:
Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
What is the perimeter of the right triangle with legs (2x + 1) feet and (4x - 4) feet and hypotenuse (4x - 1) feet? Give your answer in terms of x in the simplest form.
Answer:
10x-4 feet
Step-by-step explanation:
The perimeter is the amount of the sides together so add the three sides together
2x+1+4x-4+4x-1
Combine like terms
10x-4
(You can also factor out 2 but that would not be simplest --> 2(5x-2))
Does this graph show a function? explain how you know
find the 10 degree value can u help me on it
Solution:-10
As <AGQ and <EQG are corresponding interior angles
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 60°+a=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow a=180-60[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow a=120}[/tex]
<AGQ=<PQR=60°<BHF=<PRQ=75°[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow b=75°}[/tex]
According to angle sum property
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow b+c+<PQR=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+75+60=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c+135=180[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow c=180-135[/tex]
[tex]\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow c=45°}[/tex]
Full working out for this question please.
On Monday Farmer Tom collected 6 times as many eggs as Farmer Jack. On Tuesday, Farmer Tom sold 425 eggs. Farmer Jack then had three times as many eggs as Farmer Tom. How many eggs did farmer Jack have?
a.150
b.175
c.125
d.25
e.75
Answer:
75
Step-by-step explanation:
Let farmar jack collected x eggs, then farmar Tom collect 6x eggs
farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so
3(6x-425)=x
or, x=75
so farmar jack had 75 eggs
Answered by GAUTHMATH
230% of 99 hours is what?
Answer:
227.7 hours
Step-by-step explanation:
of means multiply and is means equals
230% * 99 = what
Change the percent to decimal form
2.30 * 99 = what
227.7= what
[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]
[tex]\\ \sf\longmapsto 227.7hours[/tex]
Sin(a+b)=?
Cos(a+b)=
Answer:
sin (a+b)= sina*cosb - sinb*cosa
cos (a+b) = cosa*cosb + sina*sinb
Answer:
sin (A + B) = sin A cos B + cos A sin B
cos (A + B) = cos A cos B - sin A sin B
on:
A rectangular drawing is enlarged by 30%. The original dimensions of this drawing are 16cm x 24cm.
Determine the scale factor, as a fraction that represents this enlargement. What are the new, enlarged
dimensions?
Answer:
Step-by-step explanation: Scale [tex]\frac{130}{100} = \frac{13}{10}[/tex]
New dimensions [tex]16 * 1.3 --- 24*1.3 =20.8 cm * 31.2 cm[/tex]
A boy is flying a kite from the terrace of his house. The kite is 175 m above the terrace. If the terrace is 80 m from the ground floor, findthe distance between the kite and the basement which is 8 m below the ground level.
175 m above the terrace + 80 m from terrace to ground + 8m from ground to basement:
175 + 80 + 8 = 263 meters
can anyone help me with this?
Answer:
Step-by-step explanation:
a + 45 + 70 = 180 45 becomes an interior angle by being opposite a given vertically opposite angle.
a + 115 = 180 Subtract 115 from both sides
a = 65
b + 68 + 65 = 180 A straight line is 180 degrees.
b + 133 = 180
b = 180 - 133
b = 47
In the triangle b + c + 100 = 180
b = 47
47 + c + 100 = 180
147 + c = 180
c = 33
If C is an exterior angle then C + 33 = 180
C = 147
You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).
What is
f(x)=(x-2)(x-6) in standard form
Based on the graph of the trigonometric function,
what is the period?
Answer:
[tex]\displaystyle 4[/tex]
Explanation:
[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
You will need the above information to help you interpret the graph. So, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-5, 0],[/tex] from there to [tex]\displaystyle [-1, 0],[/tex] they are obviously [tex]\displaystyle 4\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 4.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
solve for x *show work*
Answer:
x = 14
Step-by-step explanation:
The sum of the interior angles of a six sided figure is 720
10x + 8x-16+12x-8 +7x+2 +9x+4 +6x+10 = 720
Combine like terms
52x-8=720
Add 8 to each side
52x-8+8 = 720+8
52x = 728
Divide by 52
52x/52 = 728/52
x = 14
Step-by-step explanation:
here's the answer for thy question