Answers
Answer:
a = 0, b = -15
Step-by-step explanation:
Given the following complex number;
x1 = 3(cosπ+isinπ)
x2 = 5(cosπ/2 - isinπ/2)
x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)
x1x2 = 15(0 - i(-1)+0 -0)
x1x2 = 15(-i)
x1x2 = -15i
x1x2 = 0-15i
Since
0 - 15i = a+ bi
Compare
a = 0
-15- = bi
b = -15
Hence a = 0, b = -15
Related Questions
3) A 24 foot wire is attached to an electrical pole. If the pole is 20 feet tall, how
far is the wire sitting from the base of the pole? Round answers to the nearest
tenth of a foot.
9ned
WIRE
SASE
A) 312
B) 133
C) 176
OD) 132
HELLPP PLEASEEE
Answers
Answer:
13.3 feet
Step-by-step explanation:
This question can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length = 20
b = base
c = diagonal = 24
24^2 = 20^2 + b^2
576 = 400 + b^2
b^2 = 176
b = 13.3
7/12 minus 1/6 gggggggggggggggggggg
Answers
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]
Answer:
0.41666666666
or
5/12
Step-by-step explanation:
Solve for n. -4(n+5)=8
Answers
Answer:
Simplify first:
-4n - 20 = 8
Add 20 to both sides:
-4n = 28
Divide by -4:
Therefore you will get:
n = -7
Answer:
n = -7.
Step-by-step explanation:
-4(n + 5) = 8
-4n - 20 = 8
-4n = 28
n = -7.
both sum of three consecutive integers is 108 what are the three integers
Answers
Answer:
35 , 36 , 37
Step-by-step explanation:
Let the consecutive integers be x, (x + 1) , (x +2)
x + x + 1 + x +2 = 108
x + x + x + 1 + 2 = 108 {Combine like terms}
3x + 3 = 108 {Subtract 3 from both sides}
3x = 108 - 3
3x = 105 {Divide both sides by 3}
x = 105/3
x = 35
The three integers are, 35 , 36 , 37
Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day
Answers
Answer:
53°
Step-by-step explanation:
not sure what you mean by nearest degree but use the cosine ratio to get the answer.
in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75
<C=cos^1 (45/75)
<C= 53°
HELP HELP PLEASE!! D:
Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!
Answers
What value of x makes the equation 5(4x - 1)=4(2.5x+8) true?
need help asap ?
Answers
Answer:
37/10
( I hope this was helpful) >;D
Make the Fraction into a Decimal square route 81 over 100
Answers
Answer: 0.9
Step-by-step explanation:
Sqrt 81 is 9
over 10 is 9/10
which is 0.9
Solve the equation.
2t – 5 = -10
t
Answers
Answer: (2t - 5) • (t - 1) - 2 = 0
t=3
Step-by-step explanation:
2t-5=-10t
T=5/12
In decimal 0.416
Hope this helps
(8.4x10^3)-(6.4x10^2)
Write anserr in scientific notation
Answers
Please its really urgent, step by step working out
Answers
Answer:
70.99
Step-by-step explanation:
Use Pythagorean Theorem to find the shortest distance.
80^2-50^2=3900
Square rt= 62.44
Subtract by 15
47.44
Next find half of the circular path it is (3.14 x 15)/2
23.55
Add 47.44+23.55=70.99
Hope this is correct
12x - 6y = 13
8x - 4y = -21
Answers
Answer:
24
Step-by-step explanation:
24
As a first step in developing a new drug to treat cancer in humans, an initial study of the drug is undertaken in rats. Three hundred rats with cancer are studied, and each is assigned to one of three treatments. One hundred rats are randomly assigned to a high dose of the new drug, 100 are randomly assigned to a low dose, and 100 are randomly assigned to a control group (no drug). After six months, each rat is examined and classified as having developed no tumors, one tumor, or two or more tumors.Which of the following would be an appropriate alternative hypothesis in this study for a chi-square test for homogeneity of tumor response across treatments?A. Ha :Ha : There is no difference in the distribution of tumor status across the three treatments.B. Ha :Ha : There is a difference in the distribution of tumor status across the three treatments.C. Ha :Ha : There is no association between tumor status and treatment.D. Ha :Ha : There is an association between tumor status and treatment.E. Ha :Ha : The proportion of rats with no tumors is the same for each treatment group.
Answers
Solution :
Here, we are interested to study if the treatments have any effect on going tumor or not. Actually, this is model is an ANOVA one way layout with a treatment 'drug'.
In this kind of model or ANOVA model, we take the negative statement as our null hypothesis i.e.,
[tex]$H_0:$[/tex] There is no difference in the distribution of tumors states across the three statements.
Therefore, alternative hypothesis would be :
[tex]$H_a:$[/tex] There is a difference in the distribution of tumor states across the three treatments.
So the correct option is (B).
f(x)=9x+3 find f(5).
Answers
Answer:
48
Step-by-step explanation:
f(x)=9x+3
f(5)=9(5)+3
f(5)=45+3
f(5)=48
Select all the values of x that make x + 3 > 5 true.
Answers
Answer:
D AND E
Step-by-step explanation:
please and thank you
Answers
Answer:
B
Step-by-step explanation:
ABC:
A = 10 degrees
B = 145 degrees
145 + 10 = 165
180 - 165 = 15 degrees
C = 15 degrees
MNP:
M = 145 degrees
N = 15 degrees
P = so therefore, P is 165 degrees
MNP is similar to ABC
Please Help ill mark as brainiest
Answers
Answer:
Step-by-step explanation:
Price at the end of 1 month = $59 ⋅ 1.03 = $60.77
which of the following situations could be modeled by an exponential function?
A. The water level of a tank decreases by 5 gallons every day.
B. The amount of money collected by a charity increases by $5,000 each year.
C. A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
D. The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Answers
Answer: Option D.
Step-by-step explanation:
An exponential function is something like:
f(x) = A*(r)^x
Where:
A = initial amount.
r = rate of growth
x = variable.
This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"
or:
"There is a population of A animals, and it doubles each year"
Let's analyze briefly all the given options and see which one is an exponential function.
A) The water level of a tank decreases by 5 gallons every day.
This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:
y = W - 5 gal*x
B) The amount of money collected by a charity increases by $5,000 each year.
The amount collected increases $5000 each year.
Then if in year 1 they collected A.
in year 2 they collected A + $5000
in year 3 they collected A + 2*$5000
We already can see the pattern, this is a linear relation:
in year X they colected A + (X - 1)*$5000
C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
if y is the height of the tree, and x is the number of years, this can be written as:
y = 10ft + x*2ft
Again, a linear relation.
D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Let's define x as each "lapse" of 10 minutes that passes.
If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55
After another 10 minutes, the population decreases again.
N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2
We can see the pattern here, this can be written as
People(x) = N*(0.55)^x
This is an exponential function.
PLEASE HELP DUE AT MIDNIGHT!
Answers
Answer:
60 i think
Step-by-step explanation:
109-180= 71
u=71
71+49=120
120-180=60
109 is on a straight line with an interior angle of a triangle, so 180 - 109 = 71 degrees.
Add two known interior angles (71 + 49) together and you get 120 degrees.
Subtract 120 from 180 (since 180 is the sum of all three interior angles of a triangle) and you get 60 degrees.
Answer: ∠ULE is 60 degreesfinding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answers
Answer:
this is your answer look it once
11) Nick & John ordered burritos & tacos for lunch. Nick
ordered 3 burritos & 4 tacos for $11.33. John ordered 9
burritos & 5 tacos for $23.56. Find the cost of one
burrito & one taco.
Answers
Answer:
taco: $1.49 each
burrito: $1.79 each
Step-by-step explanation:
Let b = cost of one burrito
t = cost of one taco
(1) 3b + 4t = 11.33 (2) 9b + 5t = 23.56
Multiply (1) by -3 and add to (2) -9b - 12t = 33.99
- 7t = - 10.43
t = 1.49
3b + 4(1.49) = 11.33
3b + 5.96 = 11.33
3b = 5.37
b = 1.79
The vertex form of the equation of a parabola is y = (x+ 3)2 + 53.
What is the standard form of the equation?
Answers
Answer:
y = 2x² + 12x + 71
Step-by-step explanation:
Joshua buys a bunch of watermelons for $7.75. He plans on feeding his friends watermelon as a snack, and there will be 15 people to feed. What is the unit price for one serving of watermelon? The unit price for 1 serving of watermelon is (round to the hundredths place):
Answers
Answer:
$0.52
Step-by-step explanation:
To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed
unit price = price of the bunch / total people to be fed
$7.75 / 15 = $0.52
. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. An urban forest has 1,650 large and small trees. Together, these trees remove 1,818 kg of pollution each year. Which system of equations could be used to find the number of large and small trees in the forest?
Answers
Answer:
The system of equations are:
s + b = 1650.... Equation 1
0.04s + 1.5b = 1818........ Equation 2
The number of
Small trees = 450 trees
The number of Big trees = 1200 trees
Step-by-step explanation:
From the above question
Small trees = s
Large trees = b
An urban forest has 1,650 large and small trees.
Hence,
s + b = 1650.... Equation 1
s = 1650 -b
A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.
Hence:
0.04s + 1.5b = 1818........ Equation 2
We substitute 1650 - b for s
0.04(1650 - b) + 1.5b = 1818
66 - 0.04b + 1.5b = 1818
- 0.04b + 1.5b = 1818 - 66
1.46b = 1752
b = 1752 ÷ 1.46
b = 1200 trees
Solving for x
1650 - b = s
s = 1650 - 1200
s = 450 trees
What is the radius of a circle that has a sector area of 4 pi cm^2 and a central angle of 1pi/2 radians?
a.4
b.5
c.3pi
d.4pi
Answers
Answer:4
Step-by-step explanation:
Find the distance between (8,5)(-1,3). Round your answer to the nearest tenth.
Answers
Answer: 9.2
Step-by-step explanation:
d = sqrt ((x2-x1)^2 (y2-y1)^2)
d = sqrt (85)
d = 9.219544
need help ASAP !!!
[tex] \sqrt{88 \times 11 \times 2 \times 4} [/tex]
Answers
Answer:
√(88×11×2×4}=√88²=±88 is your answer
Answer:
[tex]±88.[/tex]
Step-by-step explanation:
[tex]= \sqrt{88 \times 88} [/tex]
[tex] = \sqrt{ {88}^{2} } [/tex]
[tex]±88[/tex]
The value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)x. To the nearest penny, how much is the account worth after 15 years?
Answers
Answer:
your mom
Step-by-step explanation:
you mom
I WILL GIVE BRAINLIEST!!!
NO SENDING ME LINKS!!!
Answers
5.) Find the area of the triangle in bold.
Answers
Answer:
the answer is 0.98
Step-by-step explanation:
if it not correct plz correct me
Answer:
.975 mi²
Step-by-step explanation:
Hello There!
Formula for area of a triangle [tex]A =\frac{1}{2}bh[/tex]
where b = base and h = height
the dimensions of the triangle shown are b = 1.5 and h = 1.3
given the dimensions all we have to do is plug in the values into the formula
so
[tex]A=\frac{1}{2} 1.3*1.5\\1.3*1.5=1.95\\\\\frac{1.95}{2} =0.975[/tex]
so we can conclude that the area of the triangle is
.975 mi²