Answer:
A.16–i is correct.
Step-by-step explanation:
(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]
(4²–i²)=16–i
I hope this answer is correct so please vote my answer
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
What is the simplified expression for
44 • 43 45
Answer:
D
Step-by-step explanation:
the simplified version is 16 I'm not sure tho.
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
a
$6.00
b
$9.80
c
$10.80
d
$18.60
Answer:
it is c $10.80
The sales tax on clothing that costs $180 is $10.80 with 6% sales tax. The correct answer is option c.
Given that:
The cost of cloth is $180.
Sales tax is 6%.
To calculate the sales tax on clothing that costs $180 at a rate of 6%, follow these steps:
Convert the sales tax rate to a decimal: 6% = 6/100 = 0.06
Sales tax can be calculated by using the formula given below:
Sales tax = Cost of clothing × Tax rate
Multiply the clothing cost by the sales tax rate to find the sales tax amount:
Sales tax = Cost of clothing × Tax rate
Sales tax = $180 × 0.06 = $10.80
Hence, the required value is $10.80. The correct answer is option c.
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A racing car can complete an 700 m long lap in 14 s. What is the speed of the
car?
Answer:
[tex]\boxed {\tt 50 \ m/s}[/tex]
Step-by-step explanation:
To find the speed, divide the distance by the time. We can use the following formula:
[tex]s=\frac{d}{t}[/tex]
The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.
[tex]d= 700 \ m \\t= 14 \ s[/tex]
Substitute the values into the speed formula.
[tex]s=\frac{700 \ m }{14 \ s}[/tex]
Divide.
[tex]s= 50 \ m/s[/tex]
The speed of the racing car is 50 meters per second
Answer:
The answer is 50 m/sStep-by-step explanation:
The speed of an object can be found by using the formula
[tex]v = \frac{d}{t} \\ [/tex]
where
v is the speed
d is the distance
t is the time
From the question
d = 700 m
t = 14 s
We have
[tex]v = \frac{700}{14} \\ [/tex]
We have the final answer as
50 m/sHope this helps you
Please Help!!!!!!!!!
gimme a really hard riddle if you dont do a good one i will prolly delete your question no actually gimme two riddles this is for a lot of points lol
Answer:
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
also
You measure my life in hours and I serve you by expiring. I’m quick when I’m thin and slow when I’m fat. The wind is my enemy.
Step-by-step explanation:
riddle
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
What disappears as soon as you say its name?
answer scroll down
an echo
silence
write 7 2/6 as a fraction greater than 1
nice and ez question right?
A parent has washed some nappies in a strong bleach solution and wishes to rinse them so that they contain as weak a bleach solution as possible. By wringing out, the nappies can be made to contain just half a litre of solution. Show that two thorough rinses, such that the solution strength is uniform, the first using 12 litres of water and the second using 8 litres of water, reduces the strength of the
1 425
If 20 litres of clean water is all that is available and the parent is prepared to do only two rinses, how best should the water be divided between the two rinses?
Answer:
a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Step-by-step explanation:
The given parameters are;
The initial volume of strong bleach solution in the nappies = 1/2 Liters
The volume of water first used to rinse = 12 liters
The volume of water used in the second rinse = 8 liters
Therefore, we have;
The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters
The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L
The volume of the first rinse introduced in the second rinse = 1/2 Liters
The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L
The volume of water added in the second rinse = 8 liters
The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters
The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The the quantity of water in the first rinse = x
The amount of water in the second rinse = 20 - x
The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)
The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)
The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x
The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)
The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;
[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]
2·(x - 10) = 0
x = 0/2 + 10 = 10
x = 10
The the quantity of water in the first rinse = x = 10 liters
The the quantity of water in the first rinse = 10 liters
The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters
The amount of water in the second rinse = 10 liters
The water should be divided into two quantities of 10 liters each
Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.
Answer: a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answer: C = $20 + $1.50(m)
Step-by-step explanation:
Let the initial fee be represented as y.
Based on the question, the rental initial fee will be calculated as:
y + $1.50(4) = $26
y + $6 = $26
y = $26 - $6
Initial fee = $20
If Robert were to drive m miles, the cost will be:
C = $20 + $1.50(m)
Pls halp,due today thank uu
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
D
Step-by-step explanation:
Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?
A 58 dollars (0.20) + 58 dollars
B 58 dollars (0.20)
C 58 dollars (20) + 58 dollars
D 58 dollars (20)
Answer:
The correct answer is A
Step-by-step explanation:
You multiply the original price = $58 to the tip which will be 20% after you add the tip to the original price.
I hope this helped
Answer:
It is A I have done the assignment got 100 good luck and have a fantastic day :D
Step-by-step explanation:
There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could play the clarinet and 12 could play the saxophone. four could play the flute and the saxophone, four could play the flute and the clarinet, and 6 could play the clarinet and the saxophone. 3 students can play none of the three instruments. Find the number of students who could play: a. All the instruments b. Only the saxophone c. The saxophone and clarinet, but not the flute d. Only one of the clarinet, saxophone, or flute.
Answer:
a. The number of students who can play all three instruments = 2 students
b. The number of students who can play only the saxophone is 0
c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only one of the clarinet, saxophone, or flute = 4
Step-by-step explanation:
The total number of students available = 29
The number of students that can play flute = 11 students
The number of students that can play clarinet = 15 students
The number of students that can play saxophone = 12 students
The number of students that can play flute and saxophone = 4 students
The number of students that can play flute and clarinet = 4 students
The number of students that can play clarinet and saxophone = 6 students
Let the number of students who could play flute = n(F) = 11
The number of students who could play clarinet = n(C) = 15
The number of students who could play saxophone = n(S) = 12
We have;
a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)
Therefore, we have;
29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3
29 = 24 + n(F∩C∩S) + 3
n(F∩C∩S) = 29 - (24 + 3) = 2
The number of students who can play all = 2
b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)
The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0
The number of students who can play only the saxophone = 0
c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4
The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only the saxophone = 0
The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3
The number of students who can play only the clarinet = 3
The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1
The number of students who can play only the flute = 1
Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4
The number of students who can play only one of the clarinet, saxophone, or flute = 4.
Maritza found a bike at the mall for $85.00. The sales
tax is 6%. After taxes, how much will she have to pay for
the bike?
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
704% into a fraction
Answer:
7 4/100
Step-by-step explanation:
[tex] \green {\boxed{Answer}}[/tex]
[tex] = 704\%[/tex]
[tex] = \frac{704}{100} [/tex]
[tex] = \frac{704 \div 4}{100 \div 4} [/tex]
[tex] = \frac{176}{25} [/tex]
[tex] = 7 \frac{1}{25} [/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
please help asap!!!!!!!!
Answer:
y=-3x-5
Step-by-step explanation:
y = mx+b
m= -11 - 1
2 - -2
y=-3x+b
(-2,1) and (2,-11)
is
y=-3x-5
Hope this Helps:)
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
PLZ HELP DUE IN 20 MINS
The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals? (4 points)
a
D and E are similar but not congruent.
b
E and F are similar and congruent.
c
D and E are similar and congruent.
d
F and D are similar but not congruent.
Answer:
B.
Step-by-step explanation:
It was just angled in a different way
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
52 cat owners shoed up for the annual Cat Convention, including the Crazy
Cat lady who owns 50 cats (The crazy cat lady owns more cats than anyone
else at the convention.).
Explain how you can be certain that at least two people have the same
number of cats.
Answer:
Due to the amount of cat owners, and the fact that the highest amount of cats that one person owns is 50, It means that the probability of two of them having the same number of cats is high.
Correct me if im wrong
I tried
Step-by-step explanation:
Whoever gets correct answer gets marked brainliest!! Please answer asap!
Use the graphs of f and r to describe the transformation from the graph of f to the graph of r
f(x)=2/3x+1
r(x)=3f(x)
Answer: vertical stretch by 3
Step-by-step explanation:
when g(x) = a*f(x), the graph of g(x) is vertically stretched by a
Tony purchased a 15-foot-long-sub for a party. He cuts the sandwich into 5/12 foot sections. Into how many pieces does he cut the sandwich?
Answer:
3?
Step-by-step explanation:
Number of pieces in sandwich is 36 piece (Approx.)
Given that;Sandwich size = 15 feet
Each piece = 5 / 12
Find:Number of pieces in sandwich
Computation:Number of pieces in sandwich = Sandwich size / Each piece
Number of pieces in sandwich = 15 / [5/12]
Number of pieces in sandwich = 36 piece (Approx.)
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If a population consists of 540,000 people and a census is taken, how many
people are sampled?
A 5400
B. 540
C. 540,000
D. 54,000
The number of people who are sampled in the census is the whole population which is, 540,000.
Given that,
Size of the population = 540,000
We have to take a census regarding something which is not mentioned for this population.
In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.
So there can't be a sample which contains less number of individuals or units for taking the information.
So the whole population of 540,000 people are included in the sample.
Hence the correct option is C, which is 540,000.
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Write an equation for the line that contains the points (-6,5) and (-12,-13).
Answer:
Step-by-step explanation:
you make y2-y1 over x2-x1 with the points so -13-5 over -12- -6 and that equals -18 over -6 simplified to 3
What number is 64% of 120?
i don’t need solutions , just answer please and thank you !!! ❤️
76.80
Step-by-step explanation:Hi there !
100% .............. 120
64% .....................x
x = 64×120/100
= 7680/100
= 76.80
Good luck !
17z = 16z − 15 whats z ?
Answer:
z = -15
Step-by-step explanation:
17z = 16z − 15
Subtract 16z from each side
17z-16z = 16z-16z − 15
z = -15
-(x-7) + (5/3) = 2(x+9) wht does x equal
Answer:
-28/3=x
Step-by-step explanation:
-(x-7) + (5/3) = 2(x+9)
-x+7+5/3=2x+18
7+5/3=2x+18-x
7+5/3=x+18
5/3=x+18-7
5/3=x+11
5/3-11=x
Ahora todo se pasa a base 3
[tex]\frac{5-33}{3}[/tex]=x
-28/3=x
The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day
Answer:
The answer is C. $0.50 per day .
Hope this helps
Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.
The unit rate is the cost per one unit of a given quantity.
In this case, it's the cost of an overdue book per day.
In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.
Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.
The formula for calculating the slope (m) between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
Let us take two points from graph: (4, 2) and (6, 3)
Unit rate = 3-2/6-4
=1/2
=0.5
Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.
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The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less
Answer:
The task times is [tex]x =90.77 \ s[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 110 \ sec[/tex]
The standard deviation is [tex]\sigma = 15 \ sec[/tex]
Generally the task times that qualify individuals for such training is mathematically represented as
[tex]P(X < x) = 0.10[/tex]
=> [tex]P(X < x) = P( \frac{X - \mu}{\sigma } < \frac{x - 110}{15} ) = 0.10[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of X )[/tex]
=> [tex]P(X < x) = P( Z < \frac{x - 110}{15} ) = 0.10[/tex]
Generally the z -score of 0.10 from the z-table is
[tex]z -score = -1.282[/tex]
So
[tex]\frac{x - 110}{15} = -1.282[/tex]
=> [tex]x =90.77 \ s[/tex]