how to describe and compare a box plot.
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Related Questions
Find two consecutive even numbers such that the sum of the number and twice the greater number is 100
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x+2x+4=100
3x=100-4
3x=96
x=32
The answer is 32 and 34.
By the question
X+2(x+2)=100
3x+4=100
3x=96
X=32
X+2=34
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.
110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?
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so equation is
f(x)=pay
x=hours worked
solve so
f(1)=110
f(2)=130
f(3)=150
f(4)=170
they seem to be increasing in 20 increments so therefor the pay is linked to hours times 20 so that measn that every hour he works, he gets 20 dollars
therefor the answer is f(n+1)=f(n)+20 since we know that 1 hour=$20 so n+1hour=n+$20
the answe ris f(n+1)=f(n)+20
The recursive formula that could be used for measuring the total amount of money is f(n+1)=f(n)+20.
Given that,
The electrician earns $110.And, the sequence should be 110, 130, 150, 170, and so on. Here we assume that f(x) represent pay. And, x be the number of hours worked.Based on the above information, we can see that there are 20 increments in every next number.
So, the equation should be f(n+1)=f(n)+20
Learn more: brainly.com/question/11679190
what is 1/8(−8c+16)−1/3(6+3c)?
Thank you!!
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Have a great day!
Answer: The required simplified expression is -2c.
Step-by-step explanation: We are given to simplify the following expression :
[tex]E=\dfrac{1}{8}(-8c+16)-\dfrac{1}{3}(6+3c)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following distributive property :
[tex]a(b+c)=ab+ac.[/tex]
From expression (i), we get
[tex]E\\\\\\=\dfrac{1}{8}(-8c+16)-\dfrac{1}{3}(6+3c)\\\\\\=\dfrac{1}{8}\times(-8c)+\dfrac{1}{8}\times16-\dfrac{1}{3}\times6-\dfrac{1}{3}\times3c\\\\=-c+2-2-c\\\\=-2c.[/tex]
Thus, the required simplified expression is -2c.
1. Congruent triangles are ______ similar
A. Never
B. Always
C. Sometimes
2. Similar triangles are ____ similar
A. Sometimes
B. Always
C. Never
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Graph y=3x and make a table of values too
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Which expressions have a value of 1/2?
Choose all answers that are correct.
A) 2^3/2^4
B) 2^-1
C) 2^0
D) 2^1
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B) 2^-1 = 1/2^1 = 1/2; YES
C) 2^0 = 1; NO
D) 2^1 = 2; NO
Hope this helped!
2^-1 will be 1/2 which is .5
2^3/2^4 you divide the whole numbers and subtract the exponents, so it will be 2^-1 which is .5
Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,
e.g. "23, 19" (but without the quotes).
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2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6
Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
Solution 1:
If |a| = |b|, then either a = b or a = -b. Hence, if |2x - 1| = |3x + 5|, then either 2x - 1 = 3x + 5 or 2x - 1 = -(3x + 5).
If 2x - 1 = 3x + 5, then x = -6. If 2x - 1 = -(3x + 5), then x = -4/5. Therefore, the solutions are x = \boxed{-6, -4/5}.
Solution 2:
Another approach is to square both sides. Squaring both sides, we get 4x^2 - 4x + 1 = 9x^2 + 30x + 25 (because |a|^2 = a^2 for all a). This simplifies to 5x^2 + 34x + 24 = 0, which factors as (x + 6)(5x + 4) = 0, so the solutions are x = -6 and x = -4/5, as before. You must be careful when using this approach because squaring both sides of an equation can introduce false solutions. Thus, we need to check that both of these "solutions" work in the original expression before declaring them correct.
3. Start with the following statement: Vertical angles are congruent. a. State the conditional and three other forms of the statement. b. Write all 4 forms of the statement using symbols. c. If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? BONUS: Use at least one truth table AND at least one property to support your reasoning.
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What is 3/10 divided by 4/5
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You can solve this problem by changing the second fraction and multiplying. 3/10 times 5/4 is 15/40 = 3/8
f(x) = 2x + 6, g(x) = 4x2 Find (f + g)(x).
Answers are: 8x^3 + 24x
2x+6/4x^2
4x^2 + 2x + 6
-4x^2 + 2x + 6
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F(x) = 2x + 6, g(x) = 4x²
(f + g)(x)= f(x) +g(x) = 4x²+2x+6
Answer: The correct option is
(C) [tex]4x^2+2x+6.[/tex]
Step-by-step explanation: We are given the functions f(x) and g(x) as follows :
[tex]f(x)=2x+6,\\\\g(x)=4x^2.[/tex]
We are to find the value of (f+g)(x).
We know that
for any two functions p(x) and q(x), we have
[tex](p+q)(x)=p(x)+q(x).[/tex]
So, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=2x+6+4x^2\\\\=4x^2+2x+6.[/tex]
Thus, the required value is [tex](4x^2+2x+6).[/tex]
Option (C) is CORRECT.
The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the triangle is 30 cm?
A. 2.5 cm, 5. cm, 7.5 cm
B. 9 cm, 10 cm, 11 cm
C. 7.5 cm, 10 cm, 12.5 cm
D. 2.5 cm, 7.5 cm, 12.5 cm
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the answer is c option
Can someone please simplify 6c^2 + 2.5d - d + 2c^2 - 3d for me?
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Write the equation of the linear function for which f(0)=3 and f^-1(0)=-2
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and
if [tex]f^{-1}(a)=b[/tex] then f(b)=a
so
since [tex]f^{-1}(0)=-2[/tex] therefor, f(-2)=0
we have 2 points, (-2,0) and (0,3)
we can use slope intercept form
y=mx+b
m=slope
b=y intercept
we have when x=0, y=3, that is the y intercept
y=mx+3
substitute the other point
(-2,0)
x=-2, y=0
0=-2m+3
-3=-2m
divide both sides by -2
[tex]\frac{3}{2}=m[/tex]
the equation is
[tex]y=\frac{3}{2}x+3[/tex]
or
3x-2y=-6 in standard form
Find the markup $111.00 percent of markup 50%
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50% of 111 = 55.5
Then add 55.5 on 111 = $166.50
Final value $166.50
Answer:
$166.50
Step-by-step explanation:
NEED ANSWERS ASAP 80 POINT QUESTIONS
a) The value of homes in one area went up by an average of 2.3% in the past year. Estimate the value today of a home that was valued at $265,000 last year.
b) This year, the annual sales through one Century 21 office with 12 sales agents were $42 million. Estimate the revenue for the office if it received an average of 20% of the 6% commission on sales.
c) a) From the revenue in part (b) above, the office manager must pay all costs of operating the sales office, including advertising, utilities, phones, insurance, and salaries for all noncommission employees. For the current year, these costs amount to $468,000. Find the profit as a percent of total revenue to the real estate office and round to the nearest tenth of a percent.
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A) 265,000* 1.023 = $271,095
B) 42,000,000*0.06 = 2,520,000*0.20 = $504,000
C) 504000 - 468000 = 36000/504000 = 0.0714 = 7.1%
The penny size d is given by the literal equation d = 4n - 2, solve for n
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Answer:
The value of the equation for n is [tex]n=\frac{d +2}{4}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]d = 4n - 2[/tex]
We need to solve the equation for n.
Add 2 from both the sides.
[tex]d +2= 4n - 2+2[/tex]
[tex]d +2= 4n [/tex]
Divide both side of the equation with 4.
[tex]\frac{d +2}{4}= \frac{4n}{4} [/tex]
[tex]\frac{d +2}{4}= n [/tex]
Hence, the value of the equation for n is [tex]n=\frac{d +2}{4}[/tex].
The table shows a function. Is the function linear or nonlinear? x y 8 14 9 8 10 0
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Joey has 5.75 made up of all dimes and quarters. If joey has 38 coins. How many of each each coin does he have?
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0.10d + 0.25q = 5.75
0.10(38 - q) + 0.25q = 5.75
3.80 - 0.10q + 0.25q = 5.75
-0.10q + 0.25q = 5.75 - 3.80
0.15q = 1.95
q = 1.95/0.15
q = 13 <=== 13 quarters
d + q = 38
d + 13 = 38
d = 38 - 13
d = 25 <=== 25 dimes
Use inductive reasoning to describe each pattern and find the next two terms of each sequence.
1, 4, 9, 16, 25, …
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1 (+3); 4 (+5); 9 (+7); 16 (+9); 25 (+11); 36 (+13); 49 (+15); 64 (+17); .......
Answer:
B. Multiply by 2; 64, 128.
a bunch of has 10 3/4 lb of ground beef that will be priced at 3:40 per pound he divides the me into 8 equal packages to the nearest cent what will be the price of each package
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A number minus two-thirds of that number is 24
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Solving:
1/3x = 24
x = 72
Hope this helped!
"cary is 8 8 years older than dan. in 5 5 years the sum of their ages will be 96 96. find the age of each man now."
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"Cary is 8
years older than Dan. In 5 years the sum of their ages wil equal 96. Find both
their ages now. Solve using equations."
x = Dan's age now
x + 8 = Cary's age now {Cary is 8 yrs older than Dan}
x + 5 = Dan's age in 5 years
x + 13 = Cary's age in 5 years
x + 5 + x + 13 = 96 {in five years the sum of their ages will be 96}
2x + 18 = 96 {combined like terms}
2x = 78 {subtracted 18 from both sides}
x = 39 {divided both sides by 39}
x + 8 = 47 {substituted 39, in for x, into x + 8}
Dan is 39 years old
Cary is 47 years old
what makes this graph misleading?
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it goes from 10,15, 20 to 30. it should actually be 35
the second is accurate because it keeps going up by 50
Simplify the expression.
12 x [(9 + 6) / 3}
A.
38
B.
54
C.
60
D.
110
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60
A bit-map terminal has a 1024x768 display. the display is redrawn 75 times a second. how long is the pulse corresponding to one pixel
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It takes 1 second to draw these number of pixels 75 times.
The drawing rate is
(75*786,432 pixels) per second
The length of the pulse to draw a pixel is
1/(75*786432) s = 1.6954 x 10⁻⁸ s = 0.1695 x 10⁻⁹ s= 0.1695 ns
Answer: 0.17 ns (nanosecond) or 1.695 x 10⁻⁸ s
The pulse corresponding to one pixel is approximately 1.27 microseconds.
Explanation:In this case, we can calculate the duration of the pulse corresponding to one pixel by dividing the time required to redraw the display by the total number of pixels.
Given that the display is redrawn 75 times a second, and the display has a resolution of 1024x768 pixels, the total number of pixels is 1024 * 768 = 786,432 pixels.
To find the duration of the pulse corresponding to one pixel, we can divide the time required to redraw the display (1/75 seconds) by the total number of pixels (786,432 pixels).
Therefore, the pulse corresponding to one pixel is approximately 1.27 microseconds.
Now suppose that the 5 (identical) prizes will be distributed among the 8 people. a winner can receive more than one prize. in how many ways could the 5 prizes be distributed?
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If you put the number it will become C(5+8-1, 8-1)= C(12,7)
Then the possible way should be:
12!/ 7! 5!= 479001600/ 120*5040= 792 ways
What is the exact value of the expression the square root of 294. - the square root of 24. + the square root 54.? simplify if possible. 8the square root of 2. 8the square root of 6. 12the square root of 2. 12the square root of 6?
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Sqrt(294) + Sqrt(4x6) + Sqrt(9x6) =
Sqrt(294) + 2Sqrt(6) + 3Sqrt(6) =
Sqrt(294) + 5Sqrt(6)
Don't understand what you mean by the others.
The difference of three times a number and 4 is -19?
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A triangle has a perimeter of 10x+2. Two sides have lengths of 5x and 2x+9. What is the length of the 3rd side
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length of third side = 10x + 2 - (7x + 9)
length of third side = 10x + 2 - 7x - 9
length of third side = 3x - 7
hope it helps
which is larger 42mm or 10cm, 15mm or 0.15, 10mm or 2 cm
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1. 10 cm
2. 15 mm
3. 2 cm
Hope this helps even though it's pretty late!