Answers
9514 1404 393
Answer:
2 + 5i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]
__
In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.
Related Questions
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answers
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
−3.64⋅|−5.3|−1.5^3
help pls
Answers
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
don’t understand, plz explain very urgent
Answers
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
Answers
In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.
Answers
Answer:
Step-by-step explanation:
Your answer
Ok, lets do it systematically.
2005– 100 rabbits
3.4 % per year increasement.
So every year it increase 0.034 *100 = 3.4 per year
Total 2025-2005= 20 years
So expression is : 0.034*100*year(20)
Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168
Mark it as Brainlist answer. Follow me.
cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2
Answers
Answer:
Lo resuelves como de costumbre :)
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?
Answers
Answer: 18.15 miles
Step-by-step explanation:
Solve for y 35 = 11y
Answers
Answer:
y=35/11
or
3.18 repeating
Step-by-step explanation:
Answer: 3.18181818182y
Step-by-step explanation:
You would do 11y divided by 11. Then 35 divided by 11.
That would get you 3.18181818182=y
150 into the ratio 4:11
Answers
9514 1404 393
Answer:
40 : 110
Step-by-step explanation:
There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...
150/15 = 10
Then the division is ...
4 : 11 = 10·4 : 10·11 = 40 : 110
_____
Alternate solution
Let x represent the larger share. Then the ratio is ...
(150 -x) : x = 4 : 11
Cross-multiplying gives ...
11(150 -x) = 4x
1650 = 15x . . . . . add 11x, simplify
110 = x . . . . . . . . . divide by 15; the larger share
150-x = 150-110 = 40 . . . . . . the smaller share
The division is 40 : 110.
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answers
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
find the sum of 9/10 and 5/6 write an equation?
Answers
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
Answer:
Step-by-step explanation:
9/10 + 5/6 = 16/20
2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz
Answers
Answer:
14.2 miles
Step-by-step explanation:
14.4 + m = 28.6 is your equation
Then subtract 14.4 from both sides
m = 14.2
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answers
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?
Answers
Answer:
It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.
A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter
Answers
Answer:
40.72units^2
Step-by-step explanation:
Given data
Radius= 3.6 units
The area is given as
A=πr^2
substitute
A=3.142*3.6^2
A=3.142*12.96
A=40.72units^2
Hence the area is 40.72units^2
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answers
Answer:
yoo echo stop deleting my answers bro
Step-by-step explanation:
John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water?
Answers
It all started when my mom met my dad...
You'll know the rest
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answers
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
a basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?
Answers
Answer:
3 : 1
Step-by-step explanation:
120-90=30
90 mangoes
30 apples
90 : 30 divide both by 10
9 : 3 divide both by 3
3 : 1
What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.
Answers
Answer:
15m/s
Step-by-step explanation:
Given data
DIstance= 55.5 miles
time= 3.7 hours
Required
the speed
We know that
Speed= distance/time
Substitute
Speed= 55.5/3.7
Speed= 15 m/s
Hence the speed is 15m/s
Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog
Answers
Answer:
$1.65
Step-by-step explanation:
1.25 x 4 = 5.00
18.20 - 5.00 = 13.20
13.20 / 8 = 1.65
they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8
7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?
Answers
Answer:
168
Step-by-step explanation:
First, find the unit rate (the amount it increases with every 1/8)
147 ÷ 7 = 21
Next, multiply that by the denominator (8)
21 x 8 = 168
The answer is 168
Answer:
1/168
Step-by-step explanation:
hope this is right but you divide both of them
Select the correct answer from each drop-down menu.
ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.
The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___
Answers
Answer:
The length of side AB is
(50)^1/2
units. The length of side BC is
(65)^1/2
units. The length of side AC is
(145)^1/2
units. ∠ABC ≈
105.26°.
Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.
Answers
HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help
Answers
You are right. 5 is correct.
What is the value of y?
What is the area, in square inches, of the rectangle
Answers
Answer:
Part A: y = 3
Part B: Area = 60 sq units
Step-by-step explanation:
we can create this system of equations from the information given:
8y + 2x = 34
10y + 2x = 40
now we can subtract to get:
-2y = -6
y = 3
solve for 'x':
8(3) + 2x = 34
24 + 2x = 34
2x = 10
x = 5
Area of Rectangle is 12 x 5
a cube has a lateral surface area of 64sq m find the total surface area of the cube
Answers
Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
Answers
your answer is k=10 the step by step is kn the picture
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answers
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
I NEED HELP PLZZZ!!!!!!
Answers
Answer:
No the pay rates are not equivalent.
Step-by-step explanation:
Your pay rate per 8 hours is $56.
Your friends pay rate per 8 hours is $72.