Answer: 8y
Step-by-step explanation:
In numbering pages of a book, a printer used 3289 digits. How many pages were in the book, assuming the first page of the book was number 1? Justify your answer. (b) Find the number of digits the printer will need for a book with n pages, for any positive integer n. Write this function of n as simple a form you can.
The number of the pages in the book if the first page will be numbered as 1 will be 1099 pages. And if the number of the pages is n then the function is shown below.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
In numbering pages of a book, a printer used 3289 digits.
Then the number of the pages in the book if the first page will be numbered as 1.
One digit number = 1 - 9 = 9 digits
Two digit number = 10 - 99 = 2 x 90 = 180 digits
Three digit number = 100 - 999 = 3 x 900 = 2700 digits
Then the total number of the digit is used will be
→ 9 + 180 + 2700
→ 2889
The number of the remaining digits will be
→ 3289 - 2889
→ 400
Then the four-digit number will be
→ 400/4
→ 100
Then the total number of the pages will be
Total pages = 9 + 90 + 900 + 100
Total pages = 1099
If n pages are there, then the number of the digits are required will be
[tex]\left\{\begin{matrix}n, & 1\leq n\leq 9 \\9+(n-9)2, & 10\leq n\leq 99 \\189+(n-9)3, & 100\leq n\leq 999 \\. & . \\. & . \\\end{matrix}\right.[/tex]
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Graph the following features: Y-intercept = 3 Slope 4/3
Answer:
Y = 4/3x + 3
Step-by-step explanation:
Hi, I am not sure if you want me to grah this or not. However, I have still provided you with the formula for this line.
What is the slope of the line represented by the equation?
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+\cfrac{1}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
The perimeter of a rectangular garden is 264 m.
If the width of the garden is 56 m, what is its length?
Length of the garden:__m
Step-by-step explanation:
Perimeter of garden = 264 m
width of the garden = 56 m
length of the garden = ?
Now..
Perimeter = 2 ( l + b )
264m = 2l + 112
264 - 112 = 2l
152 = 2l
l = 152 / 2
l = 76 m
Hence the length is 76m
[tex]...[/tex]
Help me find the figure , area formula and the area
Answer:
We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle. This means that we are able to use the area formula for the rectangle which is [tex]A=l*w[/tex].
Therefore, we can just multiply 27 cm by 16 cm and we get [tex]A = 432\ cm^2[/tex]
Hope this helps! Let me know if you have any questions
ayuda con esto ;v
9 6
- = -
6 X
Answer:
124 amigo dame corona no e tenido
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answer:
See belowStep-by-step explanation:
The x-intercepts are the points with y- coordinate of 0
(x - 3)(x + 8) = 0x - 3 = 0 or x + 8 = 0x = 3 or x = - 8a) x-intercepts are
3 and - 8b) midpoint of x-intercepts is
(3 - 8)/2 = - 5/2 = - 2.5c) The extheme value has x- coordinate of - 2.5 and y- coordinate
(-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25d) f(- 2.5) = - 30.25
Answer:
[tex]\sf a) \quad x = -8 \:\:and \:\:x = 3[/tex]
[tex]\sf b) \quad \left(-\dfrac{5}{2},0\right)[/tex]
[tex]\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]
[tex]\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]
Step-by-step explanation:
Part (a)
The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-3)(x+8)=0[/tex]
Therefore:
[tex](x-3)=0 \implies x=3[/tex]
[tex](x+8)=0 \implies x=-8[/tex]
Therefore, the x-intercepts are x = -8 and x = 3
Part (b)
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
[tex]\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)[/tex]
Therefore, the midpoint of the x-intercepts is (-5/2, 0)
Part (c)
The extreme value is the vertex. The vertex is:
the minimum point if the parabola opens upwardsthe maximum point if the parabola open downwardsThe x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts. Therefore, the x-value of the extreme value is x = -5/2.
To find the y-coordinate, substitute this into the given equation:
[tex]\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}[/tex]
Therefore, the extreme value is:
[tex]\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]
Part (d)
The function in vertex form is:
[tex]\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]
[tex]\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}[/tex]
One side of a square is 10 units. Which is greater, the number of square units for the area of the square or the number of units for the perimeter? Explain.
Given:
[tex]\text{Side of }\square \ \text{= 10 units}[/tex]
Area of square:
The area of the square can be determined by using the formula "(side)²".
⇒ Area of square = (side)²
⇒ = (10)² [Side = 10 units]
⇒ = (10)(10)
⇒ = 100 units²
Therefore, the area of the square is 100 units².
Perimeter of square:
The perimeter of the square can be found by using the formula "4(side)".
⇒ Perimeter of square = 4(side)
⇒ = 4(10)
⇒ = 4 × 10
⇒ = 40 units
Furthermore, the question says:
Which is greater?
- The number of square units (100) for the area of the square.
- The number of units (40) for the perimeter
Conclusion: Since 100 is greater than 40, the number of square units for the area of the square is greater than the number of units for the perimeter.
math problem can somebody help!!!!
Answer:
if am correct your answer will be letter d
Step-by-step explanation:
If f(x) = 2x2 1, what is f(x) when x = 3? 1 7 13 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
f(x) = 2x² + 1, what is (fx) when x = 3
We substitute 3 for x in the equation
f(x) = 2(3)² + 1
f(x) = 2(9) + 1
f(x) = 18 + 1
f(x) = 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
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Answer:
19
Step-by-step explanation:
did the test on edge
2). A bag contains 50 pieces of gum flavored cherry, grape, and watermelon.
William will randomly pick a piece of gum,
1
• The probability of picking cherry is 5.
7
• The probability of picking watermelon is 10.
What is the probability William will pick a piece of grape gum?
At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price?
Answer:
$460
Step-by-step explanation:
If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.
From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.
128.80/28 = 4.6
4.6 x 100 = 460
Original price = $460
Hope this helped!
please help.
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])
?
D
C (7x, -1y)
E
Distance Formula
B (-2x, l-4y)
d = (x2 - x;)2 + (x2 - y)?
Answer: 8y
Step-by-step explanation:
The values needed to find the length AB will be;
⇒ AB = √(3x)² + (- 8y)²
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate are,
⇒ A = (- 5x, 4y)
⇒ B = (- 2x, - 4y)
Now,
Since, We know that;
The distance between the points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,
⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²
⇒ d = √(3x)² + (- 8y)²
Thus, The values needed to find the length AB is find as;
⇒ AB = √(3x)² + (- 8y)²
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Enter the value of x that makes the equation −11(x + 4) + 10x = 27 true
Answer:
x = - 71
Step-by-step explanation:
-11x -44 + 10 x =27
-x = 71
x = - 71
Answer:
-71
Step-by-step explanation:
You can first distribute the numbers in the parenthesis.
-11x-44 (-11*x-11*4)
-11x-44+10x=27
You can now combine like terms.
-11x+10x=-1x
-1x-44=27
This is now a two-step equation problem.
-1x-44=27
+44=+44
-1x=71
[tex]\frac{-1x}{-1}[/tex] =[tex]\frac{71}{-1}[/tex]
x=-71
i need help on question 8 ....
Answer:
8a - 6b
You have to substitute in you other numbers:
a = 4 and b = 3
Your new equation would be:
8(4) - 6(3)
Now solve:
8 x 4 = 32
6 x 3 = 18
New problem:
32 - 18
= 14
So your answer is 14.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
Which expression is equivalent to P/6 +(q+8)
WILL GIVE BRAINLIST TO BEST ANSWER
Determine whenever each statement about the scatter plot is true or false
The plot shows an outlier value when the time studied is equal to 75 minutes
Answer:False
Step-by-step explanation:
A number cube is rolled. Identify the probability of getting 1 or 6 as a fraction, as a decimal to the nearest hundredth, and as a percent to the nearest whole percent.
1/3, 0.33, 30%
1/3, 0.33, 33%
2/3, 0.33, 30%
2/3, 0.67, 67%
Answer: The second option, 1/3, 0.33, 33%
Step-by-step explanation:
We will put the number of wanted outcomes over the number of total outcomes. 1 and 6 is two wanted outcomes.
2 / 6 = 1/3
Now, 1/3 is equal to 0.33. A decimal multiplied by 100 is a percent, so it is also equal to 33%. Your answer is:
1/3, 0.33, 33%
Yolanda went to get her car fixed. It cost $50 for the art and $200 for each hour the mechanic worked on it. If the mechanic worked on the car for 5 hours, what would be the total cost.
Answer:
1050
Step-by-step explanation:
just add 200 x 5 then add 50 its simple
3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team. What percentage of people attending supported the home team?
35% of the people support the home team at a baseball game.
As mentioned in the question,
3700 people attended a baseball game. 1295 of the people attending supported the home team, while 2405 supported the visiting team.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total of people = 3700
People who support the home team = 1295
People who support the visiting team = 2405
Percentage of home support = 1295 / 3700 × 100
= 35%
Thus, 35% of the people support the home team at a baseball game.
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I WILL MARK BRAINLIEST
Answer:D.6
Step-by-step explanation:
just divide
WORTH 20 POINTS PLS HURRY
A sentence with antonyms has two words with
somewhat different meanings
opposite meanings
similar meanings
the same meanings
Answer:
opposite meanings
Step-by-step explanation:
antonyms usually means a word that's the opposite of another word. Examples: hot is the opposite of cold and cold is the opposite of hot
Please help me will mark brainleist
Only answer if you know, thank you!
Using the triangle inequality theorem, the set of lengths that meet all the requirement is: 3, 4, 5, 7.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that the sum of any of the two sides of a triangle must be equal or greater than the third side, i.e. if a, b, and c are sides of a triangle, then:
a + b ≥ cb + c ≥ aa + c ≥ bIf we have the following set of numbers, 3, 4, 5, 7.
Set 3, 4, 5 will give us:
3 + 4 ≥ 54 + 5 ≥ 33 + 4 ≥ 5This means 3, 4, 5 will form a triangle.
Set 4, 5, 7 will give us:
4 + 5 ≥ 75 + 7 ≥ 47 + 4 ≥ 5This means 4, 5, 7 will form a triangle.
Set, 3, 5, 7 will give us:
3 + 5 ≥ 75 + 7 ≥ 37 + 3 ≥ 5This means 3, 5, 7 will form a triangle.
Set 3, 4, 7 will give us:
3 + 4 ≥ 74 + 7 ≥ 37 + 3 ≥ 4This means 3, 4, 7 will form a triangle.
Therefore, we can conclude that the set of lengths, 3, 4, 5, 7, meets all the requirements.
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NEED HELP ASAP, What is the angle of rotation from ARST TO AR'ST? Assume that the center of rotation is the origin.
A. 180° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 270° counterclockwise
Answer:
c if not d
Step-by-step explanation:
find the missing angles.
Answer:
1. 37 degrees, 2. 39 degrees, 3. 27 degrees
Step-by-step explanation:
You look at the total angle and subtract it by the angle that is given in the question since the two angles should add up to the whole angle of both. You should look at the number that is outside the angles and subtract it by the angle number inside then you will get the missing angles. The last one it is showing a 90 degree angle which is formed so you subtract 63 from 90.
Someone help me solve just these two questions
Answer:
(0.173)¹¹(0.87)²Step-by-step explanation:
Q1
(0.173)⁹ × (0.173)² When two terms with equal bases with different powers are multiplied, it is equal to the base with the sum of the powers(0.173)⁹⁺² (0.173)¹¹Q2
0.87⁵/0.87³When two terms with equal bases with different powers are divided, it is equal to the base with the difference of the powers(0.87)⁵⁻³(0.87)²state the dimensions of the matrix. identify the indicated element
The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7
The dimension of the matrix?From the figure in the question, we have the following highlights:
The matrix has 3 rowsThe matrix has 3 columnsThe dimensions of a matrix are represented by: Row by column
Hence, the dimensions of the matrix are 3 by 3
The indicated elementThis is given as:
a₂₃
This means that the element is located at the second row and the third column.
The element at this position is -7
Hence, the indicated element is -7
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Explain the difference between a unit rate and a percentage
Answer:
Ratio is the proportion between two numbers.
Percent is the ratio times 100.
Rate is the change of a number per unit time.
Step-by-step explanation:
1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.
2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.
3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.
4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.
5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.
Hope it helped ! Have a nice day
It took Vaughn 3 hours to drive to his sisters house. He took the same route on the way back home, but this time the trip took 2.5 hours. If Vaughn drove 10 mph faster on his return trip, how fast did he drive on his way to his sisters house?
The speed to his sister house is 50mph.
What is Speed?The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Here, let the speed of his sisters house be x mph.
then, 3x = 2.5(x+10)
3x = 2.5x + 25
3x - 2.5x = 25
0.5x = 25
x = 25 / 0.5
x = 50
Thus, The speed to his sister house is 50mph.
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How many places do you need to move the decimal to the left to write the number below in scientific notation 120,000,000
Answer:
9
Step-by-step explanation:
1.2 * 10 (9) You need to move it 9 places to the left