Answer:
z1 = 0+7i.
Step-by-step explanation:
Given the complex number
|z1| = 7 and θ1 = 270°
We are to express z1 in rectangular form as;
z1 = a + bi
|z1| = √a²+b² = 7
a²+b² = 7²
a²+b² = 49
.also argument θ1 = tan^-1(b/a) = 270°
Apply tan to both sides
tan(tan^-1(b/a)) = tan270°
b/a = tan270°
b/a = ∞
Since b/a doesn't exist, this means that the denominator is zero i.e a = 0
Substitute a = 0 into a²+b² = 49 to get b as shown;
0²+b² = 49
b² = 49
b = ±√49
b = ±7
Substitute a= 0 and b = ±7 into the rectangular form of the complex number.
z1 = a+bi
z1 = 0+7i
Hence the value of z1 in its rectangular form is z1 = 0+7i.
Answer:
z = 5.785 + 6.894i
Step-by-step explanation:
Which equation below illustrates the distributive
property?
Select one:
5(x 3) = 5x - 15
4x + 5 = 5 + 4x
(5x + 2 v) + 3 = 5r+ (2v + 3)
360 -2) + 3(2+)
Answer:
1st Equation
Step-by-step explanation:
Distributive Property is when you distribute a multiplied term to multiple terms inside of a parenthesis.
Examples:
3(x + 2) = 3x + 6
4(x + 7) = 4x + 28
So, the only answer choice is the 1st Equation.
Use the distributive property to write an equivalent expression 6(2r-10s+2)
Answer: 12r-60s+12
Step-by-step explanation:
when distributing multiply what is outside the parenthesis * the inside numbers one by one.
6 * 2r = 12r
6 * -10s = -60s
6 * 2 = 12
Now put it all together
12r-60s+12
please help me asap.......
Answer:
i know this is prob wrong but i think its C
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
PLEASE HELP ME
Find the domain and range
Answer:
Step-by-step explanation:
Domain: 3, -1, 1,
Range: 5, 2, -1, 4
Answer: domain is (-3, -1, 1,) range is (5, 2, -1, 4)
Step-by-step explanation:
Domain is all possible x values.
Range is all possible Y values.
Alan's goal is to decrease his weight by 5% each month. This month, he weights 280. What weight, in pounds, is he hoping to weigh next month?
Answer:
294lbs
Step-by-step explanation:
You can find the weight by taking 10% of 280. (Move the decimal one spot to the left) That would be 28. Then divide 28 by 2 and you get 14, which would be 5%. Then add 14 to 280 and you get 294.
| -n - 29 | = 2
help ASAP
Answer:
n = -31, -27
Step-by-step explanation:
solve this for 100 points and I will give you brainliest
Answer:
in order for me to make the graph, can you slide down one so i can take a ss and upload it
Answer:
well there none thing to solve but it will be 9 inches i think
so i think its 9 inches and it takes 4 hours of it to burn
Mrs. Oliver has a stick that is 5 feet 8 inches. How many inches long is the stick?
Answer: 68
Step-by-step explanation:
if there are 12 inches in a foot and there are 5 feet then that multiplies to 60 inches, simply add the extra 8 and you get 68
Answer:
68 inches.
Step-by-step explanation:
So we know that 1 feet equals to 12 inches.
We just need to multiply 12 by 5 and then plus 8. Which will give us 68.
To do this, we must first put the 8 aside.
Then we multiply, 12x5=60, then we bring back the 8 in.
60+8=68.
So the answer is 68 inches
Use the figure below to find the measure of angle 5
Which value is equivalent to 4-3?
-12
-1
1
64
1
64
Answer:
3/4 is equivalent 9/12
Step-by-step explanation:
3×12=36 and 4x9=36
The area of a rectangular deck is 680ft. The deck’s width is 17ft. What is the perimeter?
Answer:
1394
Step-by-step explanation:
[tex]680 + 17 + 680 + 17 = 1394[/tex]
9d + n = 5r
I need to find the answer for d
Answer:
n = 4
Step-by-step explanation:
separate the variables
subtract 9 from 5 and you get n=4
Answer:
d = (5/9)r - (1/9)n
or
[tex]d = \frac{5r - n}{9}[/tex]
Step-by-step explanation:
9d + n = 5r
- n -n
9d = 5r - n
[tex]d = \frac{5r - n}{9}[/tex]
Help plz due is FIVE MINUTES!!!!
The graph of g is the graph of f translated horizontally 3 units to the left . If f(x) = 2x + 1, what is an equation for the function g?
Answer:
g(x) = 2x + 7Step-by-step explanation:
Horizontal shift 3 units left is achieved as:
g(x) = f(x + 3) g(x) = 2(x+3) + 1 g(x) = 2x + 6 + 1g(x) = 2x + 75. A company designs a container with the shape
of a triangular prism to hold 500 mL of juice.
The bases of the prism are equilateral triangles
with side length s centimetres. The height,
h centimetres, of the prism is given by the
formula:
h= 2000(3) 25-2
=
What is the height of a container with base side
length 8.0 cm? Give your answer to the nearest
tenth of a centimetre.
1
Answer:
C
Step-by-step explanation
A certain population of bacteria has an average growth rate of 0.06 bacteria per hour. The formula for the growth of the bacteria's population is = ࡼ (. ૠૡ) where, ࢚. Po is the original population, t is time in hours, and A is the new population . If the current population of a culture was 3000 bacteria (A) and it started growing 30 hours ago, what was the original size of the bacteria (Po)?
Answer:
522 bacteria
Step-by-step explanation:
The formula given as growth rate =
A = Po (1 + r)^t
Where:
Po is the original population
t is time in hours = 30
A is the new population = 3000
r is growth rate = 0.06
3000 = Po × ( 1 + 0.06)^30
3000 = Po × 1.06^30
Divide both sides by 1.06^30
Po = 3000/1.06^30
Po = 522.33039273 bacteria
Approximately = 522 bacteria
The original size of the bacteria was 522 bacteria
Which is a valid conclusion using the Law of Syllogism? a) If it is raining when we leave, I will open the umbrella. b) If I open the umbrella, you will see pink ducks. Group of answer choices If I open the umbrella, you will see pink ducks. If it is raining, you will see pink ducks. It is raining. You will see pink ducks.
Answer:
If it is raining when we leave, you will see pink ducks.
Step-by-step explanation:
The Law of Syllogism is defined by the following rule:
[tex]P\implies Q \,\land\,Q\implies R[/tex] (Eq. 1)
[tex]\therefore P\implies R[/tex]
Where [tex]P[/tex], [tex]Q[/tex], [tex]R[/tex] are propositions.
From statements we know that propositions are:
P = It is raining when we leave.
Q = I open the umbrella.
R = You see pink ducks.
By applying the Law of Syllogism we construct this compound proposition:
If it is raining when we leave, you will see pink ducks.
Maxx buys 4 pounds of avocados and spends $14. How much does ONE pound of avocados cost?
Skip
93
2
Answers
A $2.85
$3.50
$3.75
More than $79
Answer:
the answer is 3.50 a pound
Answer:
It's 3.5 of a pound
Step-by-step explanation:
3.5 x 4 = 14
х/y = h-k solve for y
Answer:
[tex]y = \frac{h - k}{x} [/tex]
PLSSS HELP I NEED THIS ASAP
Christian reads ¼ book every ⅔ week.
how many books does christian read per week
(a) ⅙ books
(b)⅜ books
(c) 2 ⅔ books
(d) 6 books
Answer:
B. 3/8
Step-by-step explanation:
If x=5 and
y=7. What is the
value of z?
what is an equivalent fraction to -5/25
Answer:
stinkey monkey :3
The equivalent fraction to -5/25 will be -1/5. Since the value of both fractions is the same as a result represented as the equivalent fraction.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that the expression is, -5/25.
We have to find the equivalent fraction for the given expression.
Equivalent fractions are two or more fractions that, although having various numerators and denominators, are all the same. 1/5, for instance, is equal to -5/25. The fraction is always expressed in its simplest form, "one-fifth."
Thus, the equivalent fraction to -5/25 will be -1/5. Since the value of both fractions is the same as a result represented as the equivalent fraction.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ6
5x-7-2x= -10 what is x equaled to
HELP ASAP!!!!
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
5x−7−2x=−10
Step 1: Simplify both sides of the equation.
5x−7−2x=−10
5x+−7+−2x=−10
(5x+−2x)+(−7)=−10(Combine Like Terms)
3x+−7=−10
3x−7=−10
Step 2: Add 7 to both sides.
3x−7+7=−10+7
3x=−3
Step 3: Divide both sides by 3.
3x
3
=
−3
3
x=−1
helpp ill mark u as brainlist
Answer:
it is non proportional
Step-by-step explanation:
Alexander is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. Let CC represent the total cost, in dollars, of producing pp phones in a given day. A graph of CC is shown below. Write an equation for CC then state the yy-intercept of the graph and determine its interpretation in the context of the problem.
The linear function that defines C is given as follows:
C(x) = 400 + 100x.
The y-intercept of 400 represents that the fixed cost of producing zero phones on a day is of $400.
What is the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept, representing the value of the output variable y when the input variable x has a value of zero, meaning that it is the value of y at which the function crosses the y-axis.From the image given at the end of the answer, the values of these parameters are given as follows:
m = 100, b = 400.
The y-intercept of 400 are the operating costs of the company, as they have to be paid even when zero phones are produced, and thus the equation is given as follows:
y = 100x + 400.
Missing InformationThe graph is given by the image shown at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
help me plz how do I evaluate 5ab+a a=2. B=1
When rounding to the nearest whole number, which of the numbers below will round to 36? Select all that apply.
A) 35.503
B) 36.478
C) 35.432
D) 35.981
E) 36.51
Answer:
A, B and D
Step-by-step explanation:
A 35.5 rounds up to 36
36.478 rounds up to 36
35.432 rounds to 35
35.981 rounds to 36
36.51 rounds to 37
Which equations have the same value of x as StartFraction 5 over 6 EndFraction x + two-thirds = negative 9? Select three options.
Answer:
two-thirds) = negative 9 (6)
5 x + 4 = negative 54
5 x + 4 = negative 9
5 x = negative 13
5 x = negative 58
Step-by-step explanation:
Answer:
B,C,F
Step-by-step explanation:
right on EDEGE
HELP! will mark branniest answer
All the angles in a triangle will add up to 180 degrees.
Therefore, subtract all the given angles to find x.
180 - 20 -130 = 30
So the missing angle is 30 degrees.
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
We should know that the sum of all the angles in the triangle add up to 180. So since we already know two we can add those two and then subtract it from 180 to find the missing angle or I like to write equations...
[tex]20+130+x=180[/tex]
After we make an equation we would combine like terms...
[tex]150+x=180[/tex]
Now all we have to do is subtract 150 on both sides to get our missing angle...
[tex]x=30[/tex]
So the missing angle is 30°.
Can someone help me with polynomial math ?
Answer:
sure I don't know how someone could help you if there's no question asked about what you need help with.
1, 1, 2, 3, 5, 8, next 5 and conjecture
Answer:
im not 100% sure. But imma guess 12 and 17
Step-by-step explanation:
bc each time they are going up 1 number tht they r adding
Hope u get it right plz give brainliest