Answers
Answer:
B.
Step-by-step explanation:
[tex] \frac{4 + 4i}{5 + 4i} [/tex]
Multiplying both numerator and denominator by (5 - 4i) , the conjugate of the denominator, i. e, (5 + 4i).[tex] \frac{4 + 4i}{5 + 4i} \times \frac{5 - 4i}{5-4i} [/tex]
[tex] \frac{(4 + 4i)(5 - 4i)}{(5 + 4i)(5 - 4i)} [/tex]
Multiplying (4+4i) and (5-4i) using distributive propertyUsing the identity (a+b)(a-b)= a² - b² where 5 will act as a and 4i will act as b[tex] \frac{20-16i+20i-16i^2}{(5) {}^{2} - (4i) {}^{2} } [/tex]
i² = -1(combining like terms)
[tex] \frac{20+(-16i+20i)-(-16)}{25-(-16)} [/tex]
[tex] \frac{(20+16)+4i}{25+16} [/tex]
[tex] \frac{36+4i}{41} [/tex]
distributing the denominator
[tex] \frac{36}{41} + \frac{4}{41}i [/tex]
That is, option B.
Related Questions
What are the domain and range of the function represented by the set of
ordered pairs?
{(-16, 0), (-8, -11), (0, 12), (12,4)}
Answers
Answer:
domain:-16,-8,0,12
range:0,-11,12,14
Your grandma recently moved to Hawaii (Hawaiian Standard Time Zone). You always call her at 8:00pm on her birthday (November 6th). You are at home in Southern California. What time do you need to call her to reach her at 8:00pm Hawaiian Time
Answers
What number increased by 11.8% equals 185
Answers
Answer:165.47
Step-by-step explanation:
How many digit numbers with all ranging from to have at least of their digits equal. How many have exactly equal digits
Answers
Answer:
Step-by-step explanation:
Please can you re-write your question, the question is incomplete and difficult to understand.
Thanks.
Find the difference.
(3x3−2x2+4x−8)−(5x3+12x2−3x−4)=
Answers
Answer:
-2x³ - 14x² + 7x - 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)
Step 2: Simplify
[Distributive Property] Distribute negative: 3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4Combine like terms (x³): -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4Combine like terms (x²): -2x³ - 14x² + 4x - 8 + 3x + 4Combine like terms (x): -2x³ - 14x² + 7x - 8 + 4Combine like terms: -2x³ - 14x² + 7x - 4What is center of a circle whose equation is x2
Answers
Answer:
I think it is 160 x2 so you would probably divide 160 by x2 which would 144
Step-by-step explanation:
Question 3: Is the mean hemoglobin level of high-altitude workers different from 20 g/cm ? To investigate this, researchers examined a sample of 20 workers and found that sample mean hemoglobin level is 17 g/cm whereas sample standard deviation is 3 g/cm². Test this claim at alpha=0.10.
Answers
Answer:
Science is really connected to mathematics.Hemoglobin is the red bloodwhat is the probability of the two numbers being the same if two regular dice are thrown?
Answers
Answer:
1/6
Step-by-step explanation:
1 and 1
2 and 2
3 and 3
4 and 4
5 and 5
6 and 6
6/36 = 1/6
Answer:
1/6.
Step-by-step explanation:
The favourable outcomes are 1,1 2,2 3,3 4,4 5,5 and 6,6 = 6 outcomes.
All the possible outcomes for 2 regular dice = 36.
Therefore the required probability = 6/36
= 1/6.
3 folders cost \$2.91, 2, point, 91. Which equation would help determine the cost of 22 folders? Choose 1 answer:
Answers
Answer:
Step-by-step explanation:
3=$2.91
22=x
3x=64.02
x=21.34
In a pool of water filled to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by 4 ft rectangular plate if it rests vertically on its 4 ft edge at the bottom of the pool. Remember that water weighs 62.4 lb/ft3
Answers
9514 1404 393
Answer:
6,364.8 lb
Step-by-step explanation:
The centroid of the plate is its center, so is 1.5 ft above the bottom of the pool, or 8.5 ft below the surface. The area of the plate is (3 ft)(4 ft) = 12 ft². Then the fluid force is ...
(62.4 lb/ft³)(8.5 ft)(12 ft²) = 6,364.8 lb
a drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
.
.
.
Please show to work too. Thank you.
Answers
Answer:
My answer is 78.55
Step-by-step explanation:
I've given the steps. Hope it really helps
Answer: 78.5 inches
Step-by-step explanation:
Area = Pi x r x r
Diameter = 10 in
Radius = 5 in
314/100 x 5 x 5 = 314/4
314/4 = 78.5
= 78.5 inches
Jack brought a new set of golf clubs of $186.75. The original price was $249. What percent of the original price did he pay?
133.3%
33.3%
25%
75%
Answers
Answer: 75%
Step-by-step explanation:
186.75/249 =.75
.75x100
75%
What is the missing term in the factorization?
12x2 – 75 = 3 (2x+?)(2x – 5)
Answers
Answer:
12x2 – 75 = 3 (2x+5)(2x – 5)
Step-by-step explanation:
One urn contains 6 blue balls and 14 white balls, and a second urn contains 12 blue balls and 7 white balls. An urn is selected at random, and a ball is chosen from the urn. a. What is the probability that the chosen ball is blue? b. If the chosen ball is blue, what is the probability that it came from the first urn?
Answers
Answer:
a) 0.4658 = 46.58% probability that the chosen ball is blue
b) 0.322 = 32.2% probability that it came from the first urn
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that the chosen ball is blue?
6/20 = 0.3 of 0.5(first urn)
12/19 = 0.6316 out of 0.5(second urn).
So
[tex]P(A) = 0.3*0.5 + 0.6316*0.5 = 0.4658[/tex]
0.4658 = 46.58% probability that the chosen ball is blue.
b. If the chosen ball is blue, what is the probability that it came from the first urn?
Event A: Blue Ball
Event B: From first urn
From item a., [tex]P(A) = 0.4658[/tex]
Probability of blue ball from first urn:
0.3 of 0.5. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.4658} = 0.322[/tex]
0.322 = 32.2% probability that it came from the first urn
Simplify this plz thanks
Answers
Answer:
[tex]\frac{1}{g^{5nd+10v+20dv} }[/tex]
Step-by-step explanation:
Someone please help me !!
Answers
Answer:
6(x-1)(x+1)(6x-1)/6(x-1)
6(x+1)(6x-1)/6
(x+1)(6x-1)
Express the radical using the imaginary unit, i.
Express your answer in simplified form.
±sqrt(-35)
Answers
Answer:
-7i or 7i
Step-by-step explanation:
You can't take the square root of a negative number, so the value "i" is automatically taken out. You're now left with i +/- sqrt(35). The square root of 35 now can either be -7 or 7 because of the +/-, so the final answer is -7i or 7i.
100
During a basketball practice, Steph Curry made 234 three point shots in 45 minutes.
In the same practice, his teammate Klay Thompson made 168 three point shots in 34 minutes.
1) Find the unit rates of both players of shots made per each minute.
2) Which player was making more shots at a higher rate?
Answers
Answer:
it was very nice step so they wine so anther bed boys decided to take his legs and round and round to good boys
When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after reaching this threshold, buyers are still eligible for 25% of the original $3000 credit. What tax credit would buyers receive if they purchased the vehicle at this time.
Answers
Answer:
$750
Step-by-step explanation:
so, in short, we need to calculate 25% of $3000.
that is the amount of tax credit a buyer would get then.
direct and fast answer :
25% means 1/4 of the overall amount.
$3000 / 4 = $750
now, a little bit longer to explain % calculations in general.
let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.
it always starts with the identification of 100%.
what is the full starting amount we are dealing with ? that is the 100%.
in our case $3000.
now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.
1% = $3000 / 100 = $30
to get said 27% we have to multiply this by 27
27% = 1% × 27 = $30 × 27 = $810
or in general
x% = 100% × x / 100
that also works for more complex questions. e.g. calculate 1.5%
1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45
and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.
and you need to transform the general equation above to get the missing piece of of the given information.
a cat measures 76 cm from its nose to its tail the length of a lion is 3 times as long as a car how long is a lion? Give your answer in meters
Answers
Answer:
ok so if the lion is 3 times bigger we have to multiply the length of the cat by
3
3*76=228
so the lion is 228 cm long
now we divide by 100 for meters
228 divided by 100=2.28 meters
Hope This Helps!!!
Answer:
2.28 Meters
Step-by-step explanation:
If the lion is 3 times as long as the cat and the cat is 76cm long you just multiply 76*3=228 convert that to meters and it gives you 2.28 meters in length for the lion
NEED ANSWER QUICK
Timmy and Tommy are two boys whose ages add up to 23. Timmy is 5
years older than Tommy. How old are they?
Answers
Then we can conclude that age of Tommy is =
(23 -x) yrs.
Now we know that Timmy is 5 years older than Tommy, therefore,
x = 5 + (23-x)
x = 5 + 23 - x
x + x = 28
2x = 28
x = 28/2
x = 14 Answer. (Age of Timmy)
So, the age of Tommy is 23 - x = 23 - 14 = 9 yrs.
Answer:
Tommy's age is 9 years old.
Timmy's age is 14 years old.
Step-by-step explanation:
Take Tommy's age to be x and Timmy's age to be x+5
x+x+5=23
2x+5=23
2x=23-5=18
x=18÷2=9
x+5=9+5=14
In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
units
units
units
units
Answers
Answer:
[tex]P = 8 + 2\sqrt{26}[/tex]
Step-by-step explanation:
Given
[tex]W = (-2, 4)[/tex]
[tex]X = (2, 4)[/tex]
[tex]Y = (1, -1)[/tex]
[tex]Z = (-3,-1)[/tex]
Required
The perimeter
First, calculate the distance between each point using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2[/tex]
So, we have:
[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]
[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]
[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]
[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]
So, the perimeter (P) is:
[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]
[tex]P = 8 + 2\sqrt{26}[/tex]
Answer:
its D.
Step-by-step explanation:
took test
The width of a rectangular slab of concrete is 7 m less than the length. The area is 98 m squared. Find the dimensions
Answers
Answer:
Length = 14 m, Width = 7 m
Step-by-step explanation:
Let the length is l and width is b.
Width, b = l-7
Area of the rectangle, A = 98 m²
We know that, the area of a rectangle is as follow :
[tex]A=lb[/tex]
So,
[tex]98=l(l-7)\\\\98=l^2-7l\\\\l^2-7l-98=0\\\\l^2+7l-14l-98=0\\\\l(l+7)-14(l+7)=0\\\\l=14,-7[/tex]
Length can't be negative. So,
Width, b = 14-7 = 7 m
So, the dimensions of the rectangle are 14 m and 7 m respectively.
Badluckville had been expecting a $50 million investment for a new golf resort, but the contract was cancelled.
Badluckville's mayor estimates that this will cost the city $300 million in total economic activity. What is the mayor's
estimate of the multiplier and marginal propensity to consume?
Answers
Answer:
multiplier = 6
marginal propensity to consume = .83
Step-by-step explanation:
/ means divided by
1 .
300,000,000 / 50,000,000 =
multiplier =
6
2.
300,000,000 - 50,000,000 =
250,000,000
250,000,000/300,000,000 =
marginal propensity to consume =
0.83333333333
or
.83
quizlet
marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income
investopedia
This is the graph of y=x^2+2x-2 what is the range of this function
Answers
Point E is the midpoint of AB and point F is the midpoint
of CD.
Which statements about the figure must be true? Select
three options.
AB is bisected by CD.
A
CD is bisected by AB.
DAE = 2 AB
СЕ
F
D
EF = LED
B
CE + EF = FD
Answers
The options are;
1) AB is bisected by CD
2) CD is bisected by AB
3) AE = 1/2 AB
4) EF = 1/2 ED
5) FD= EB
6) CE + EF = FD
Answer:
Options 1, 3 & 6 are correct
Step-by-step explanation:
We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.
The only line passing through point E is line CD.
Thus, we can say that line AB is bisected by pine CD. - - - (1)
Also, since E is midpoint of Line AB, it means that;
AE = EB
Thus, AE = EB = ½AB - - - (2)
Also, we are told that F is the mid-point of CD.
Thus;
CF = FD
Point E lies between C and F.
Thus;
CE + EF = CF
Since CF =FD
Thus;
CE + EF = FD - - - (3)
What is the equation, in the point-slope form, of the line that is parallel to the given and passes through the point (-1,-1)?
Answers
Answer:
y + 1 = 3(x+ 1)
Step-by-step explanation:
(2,3) , (0 ,-3)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-3-3}{0-2}\\\\=\frac{-6}{-2}\\\\= 3[/tex]
m = 3
Parallel lines have same slope.
m = 3; (-1 , -1)
y -y1 = m (x -x1)
y -[-1] = 3(x -[-1])
y + 1 = 3(x+ 1)
Answer:
D. y+1=3(x+1)
What is each of the four sections created by the intersecting lines called?
Answers
Answer:
Quadrants
Step-by-step explanation:
When two lines intersect such that they are perpendicular to each other, then quadrants are said to be formed. So that a given space would be divided into four quadrants when two perpendicular lines are drawn on it.
Each section which is called quadrant is at right angle to one another. So that the addition of their angles at the meeting point is the sum of four right angles i.e [tex]360^{o}[/tex]. Thus each of the four sections created by the intersecting lines is called a quadrant.
The surface area of a roof with dimensions of 40 feet long by 28 feet wide is how many times the surface area of a floor where the dimensions are 16 feet long by 7 feet wide?
Answers
Answer:
10 times
Step-by-step explanation:
Multiply 40 by 28
1120
Multiply 16 by 7
112
Divide the two numbers
You get 10
Hope this helps!
tor given terms. Find how much the account needs to hold to make this possible. Round your answer to the nearest dollar. Regular withdrawal:2
3200 Interest rate:4.5 Frequency Time: daily for 16 years Account balance: $
Answers
Answer:
https://www.omnicalculator.com/finance/compound-interest
Step-by-step explanation:
this is a link to a compound interest calculator and it helped me with similar problems hope it helps you
