Answer:
A. 29i
Step-by-step explanation:
Step 1: Plug in given variables
(2 - 5i)(2 + 5i)i
Step 2: Difference of squares (expand)
(4 - 25i²)i
Step 3: Imaginary numbers rules
(4 - 25(-1))i
Step 4: Combine like terms
(4 + 25)i
(29)i
Your final answer will be 29i
Answer: a29i
Step-by-step explanation:
trust and beliveeeee meee
Use this area model to find
1/4 divided by 3 =
Answer:
Step-by-step explanation:
1/4/3=1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
6+{5+[2+(8+20)]} we are supposed to compute!!! I have no idea how!
Step-by-step explanation:
Is this correct
HAVE A GOOD DAY!
choose the correct equation(s) for the function shown in the graph. Select all that apply. (There is more than one answer) y = 2cos2(x • π/2) y = -2sin2 x y = -2cos(2 x - π/2) y = 2sin2( x - π/2)
Answer:
The correct options ares:
b) y = -2sin2x
c) y = -2cos(2 x - π/2)
d) y = 2sin2( x - π/2)
Step-by-step explanation:
As we can see in the graph, when x = 0 then y = 0.
Simply substitute x=0 in each equation.
a) y = 2cos2(x • π/2)
for (0,0)
y = 2
False
b) y = -2sin2x
for (0,0)
y=0
True
c) y = -2cos(2 x - π/2)
for (0,0)
y=0
True
d) y = 2sin2( x - π/2)
for (0,0)
y=0
True,
(We can also find the solution by using y= Asin(Bx+C) and y = Acos(Bx+C), we'll find that except equation a, all other equations have same amplitude, horizontal shift, period and vertical shift)
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
This is due to the symmetry of the sin function, which states that:
[tex]sin(-x)=-sin(x)[/tex]
Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.
Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!
Answer:
A and F
Step-by-step explanation:
first figure out the slope.
4-(-5)/2-(-3)= 9/5
slope: 9/5
y-y1=m(x-x1)
you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.
C, D, E all have negative slopes so it is wrong.
B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.
A & F fit the solution.
Please I need help with this ASAP..Thanks
Answer:
Qu.3 a = 70 degree.
Qu 4. a = 6 b= 4 c = 15 d =9
Step-by-step explanation:
Rules of parallelogram show that diagonal adjacent angles are equal
Then 110 = 110 and 110+110 = 220
Then as angles equal 360 degree we subtract.
a * 2 = 360-220 = 140 degree
Where there are two angles we divide by 2 to find one of them = a as both measures equal double;
a = 140/2 = 70 degree.
Qu 4. a = 6 b= 4 c = 15 d =9
without calculator we simplify
a= 3/4 x 8 = 1 x 8 - 1/4 = 6 = 3/4 +1/4 = 1 then 1 *8 = 8 then 8 -1/4 = 6 or go decimal 0.75 * 8 = 0.40 + 5.60 + total = 6
b = 2/6 x 12 = 1/6 x 12 (2) = 2 (2) = 4 = 1/6 *2 is the same as 2/6 we then *12
c = 3/2 x 10 = 1/2 x 10 (3) = 5 (3) = 15 = 1/2 *3 is the same as 3/2 we then *10
d = 3/12 x 36 = 1/4 x 36 = 9 = decimal 0.25 x 36 = 1.50 | + 7.5 = 9
The Stockton Hotel has plans to carpet the floor of a ballroom that has a width of 35 feet and a length of 50 feet. A 1.5-foot border of tile around the room will be installed, What is the area of the floor that will be covered with carpet? 1,504 ft2 1,673.25 ft2 1,584.75 ft2 1,750 ft2
Answer:
A
Step-by-step explanation:
Because of the border of tile, the length and width of the room are essentially being decreased by (1.5*2)=3 feet. The area is now therefore:
32*47=1,504 square feet, or answer choice A
Hope this helps!
Answer:
A
Step-by-step explanation:
hope this helps
Equation: 32 x 47 = 1, 504
Evaluate the expression for
a = 30, b = 30, c = 7, d = 24:
a + b = c = d.
Answer:
Not possible
Step-by-step explanation:
a + b = c = d Substitute
30 + 30 = 7 = 24 Add
60 = 7 = 24 This is not possible because these numbers aren't equal.
Louisa has 4 dogs.
Each dog eats 3/4
of a tin of dog food each day.
Louisa buys 12 tins of dog food.
Has Louisa bought enough dog food to feed her 4 dogs for 5 days?
You must show how you get your answer.
Answer:
No, she has not bought enough dog food to feed her 4 dogs for 5 days.
Step-by-step explanation:
She has 4 dogs which each eat 3/4 of a tin each day, so during each day 3/4 * = 3 tins of food are eaten. She has 12 tins, and 12/3 is 4 days without running out. She has therefore not bought enough dog food to feed her 4 dogs for 5 days.
No, she has not purchased enough dog food to last five days and feeds her four dogs.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Each of her four dogs consumes 3/4 of a tin of food every day, making a total of 3 tins of food consumed daily. She has 12 tins, therefore she has 4 days before running out as of 12/3. She hasn't purchased enough dog food as a result to feed her four dogs for five days.
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Simplify square root of five times square root of eight. two square root of ten four square root of ten square root of forty square root of thirteen
Answer:
two square root of ten - A
Step-by-step explanation:
[tex]2\sqrt10[/tex]
Brainliest Plzzz!!!!
Answer:
2 square roots of 10
Step-by-step explanation:
Mr. MD is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left in ten years?:::: Write a function- What is the initial amount? What is the decay rate? What is the final function? Thank you!
Answer: 166 hairs
Step-by-step explanation:
Initially he had 1546 hairs. Loses 20% each year. So after 10 years, he will have
= 1546 x 0.80^10
= 1546 x .107374
= 166 hairs
After 10 years, 166 hairs have left on Mr. MD head.
Decay rate is 20 %.
The number of hairs left after n years is given by,
[tex]A =P(1-\frac{r}{100} )^{n}[/tex]
Where P is the current population value, r is rate of decay and n is number of years.
Given that, [tex]P=1546,n=10,r=20[/tex]
Substitute values in above equation.
[tex]A=1546(1-\frac{20}{100} )^{10} \\\\A=1546*(\frac{4}{5} )^{10} \\\\A=166[/tex]
Thus, After 10 years, 166 hairs have left on Mr. MD head.
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can someone help me step through this to help me get the answer correct
Answer:
3
Step-by-step explanation:
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help
Answer:
The following two equations represent the reflected function:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Step-by-step explanation:
Following are two basic concepts of reflection a point or a function over an axis:
If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.In this question, the function is given:
f(x) = 5(1/5)ˣ
As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.
So the equation of reflected function is:
f(x) = 5(1/5) ⁻ˣ
We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.
(1/5)⁻ˣ = 5ˣ
So equation of reflected function can also be written as:
f(x) = 5(5)ˣ
Answer:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
1/3x+4=10 what is x?
Answer:
x = 18
Step-by-step explanation:
start with your equation: 1/3x + 4 = 10
first subtract 4 from both sides of the equal sign
now you have: 1/3x = 6
then divide by 1/3 on both sides
which gives you...
x = 18
you can check it by replacing x with 18.
hope this helps!
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}x+4=10[/tex]
Subtract 4 from both sides
[tex]\frac{1}{3}x=6[/tex]
Multiply both sides by 3
[tex]x=18[/tex]
The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2
Answer:
B.y=-2(x+3)2-2
Step-by-step explanation:
A if false beacuse you have to put (-3,-2) into all of your equations
B is correct
C is false
D is also false
The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?
Answer:
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 4ft[/tex]
[tex]Angle, \theta = 45[/tex]
Required
Calculate the area of the sector
When angle is given in degrees, the area of sector is calculated as thus;
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]
[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes
[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]
[tex]Area = \frac{45}{360} * \pi * 16[/tex]
[tex]Area = \frac{45*16}{360} * \pi[/tex]
[tex]Area = \frac{720}{360} * \pi[/tex]
[tex]Area = 2 * \pi[/tex]
[tex]Area = 2 \pi\ ft^2[/tex]
The above is the area in terms of π
Solving further.... (Take π as 3.14)
[tex]Area = 2 \pi\ ft^2[/tex] becomes
[tex]Area = 2 * 3.14\ ft^2[/tex]
[tex]Area = 6.28\ ft^2[/tex]
Hence, the area of the sector is
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
Write each repeating decimal using bar notation.
•2.034034...
•0.9222....
•0.7777....
Answer:
___
2.034
over .034
_
0.92
over 2
_
0.7
over 7
Step-by-step explanation:
Bar notation of 2.034034.... is [tex]2.\overline{034}[/tex], 0.9222... is [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]
What is bar notation for non terminating and recurring decimals?Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.
For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.
Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.
Bar notation of 3.33333... is written as [tex]3.\overline{3}[/tex]
Given decimal expansions are
a. 2.034034....
We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.
Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]
b. 0.9222....
We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.
Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]
c. 0.7777....
We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.
Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]
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Choose improper fraction that is equivalent to mixed number 4 3/10
Answer:
Step-by-step explanation:
Answer:43/10
Step-by-step explanation:
in grade school i was taught the “MAD” method which stands for multiply add divide, so you would take 10 times 4, add 3, which will give you your fraction which could also be used to divide. the answer is 43 over 10.
Will Mark Branliest What would be the best way to display both the overall shape and individual values of the data below? dot plot box graph stem-and-leaf graph frequency table
Answer:
Stem and leaf
Step-by-step explanation:
Answer:
The answer is frequency table
Hope this helps.
Jimmy spent 55 minutes on solving 11 math questions. If it took him the same amount of time to solve each question how long would it take to solve questions?
A waitress received a tip of 12% of a $375 food bill How much money in tips did she earn?
Answer:
$ 45Step-by-step explanation:
How much money in tips did she earn ?12%×$375 = 12×375/100 = 4500/100 = $45
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
Answer:
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Step-by-step explanation:
Step(i):-
Given series
6+66+666+6666 + ... +666...66 up to 100 digits
Taking common '6'
6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)
Multiply '9' and divisible by'9'
[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]
Multiply inside '9'
[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]
Step(ii):-
we know that sum of geometric series
[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]
we know that
a + a + a+........n terms = n a
[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex] ....(i)
The sum of the 100 digits in geometric series
[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]
Now the equation (i)
The sum of the digits of the number
[tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]
Final answer :-
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%
Answer:
D 140%
Step-by-step explanation:
n/100 =105 divided by 75
next n times 105 = 75 x 100
105n = 7500
N =140:)
Please help, this is a conversion problem.
Answer:
A. 41 ft / sec.
Step-by-step explanation:
28 miles per hour = 28/(60*60)
= 28 /3600 miles per second
= 28 * 5280 / 3600 feet per second
= 41 ft / sec.
Answer:
I am taking a guess so bare with me on here.
Step-by-step explanation:
first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.
Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.
Third: take out any other answer that looks too high or too low.
4th: the answer is A. because 88 and 189 is too high. and 36 is too low.