The relationship does not show a direct linear variation best describes f(x)=x−12. Option D is the correct choice.
A function is a specific mathematical relationship with a predefined domain and range, where each value in the domain corresponds to one value in the range.
In the given function, f(x) = x - 12, the slope of the line represents how much 'y' increases as 'x' increases.
A constant slope means that the increase in 'y' is uniform across the entire line. In this case, the slope (m) is 1.
However, this function doesn't exhibit a direct linear variation, as it also has a y-intercept of -12.
The presence of the y-intercept at -12 indicates that the line does not pass through the origin, and therefore, it doesn't show a direct linear variation.
Hence, the linear function f(x) = x - 12 does not display a direct linear variation, making option (D) the correct choice.
For similar question on direct linear variatio
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Question:-
Which answer choice best describes f(x)=x−12?
A. The relationship shows a direct linear variation with a constant of variation of −12 .
B. The relationship shows a direct linear variation with a constant of variation of 1.
C. The relationship shows a direct linear variation with a constant of variation of 12.
D. The relationship does not show a direct linear variation
PLEASE HELP WITH THESE!!
THANK U SOOO MUCH!!
Answer:
Step-by-step explanation:
One
Since you are asked to solve this using a graphing tool, here is the results as graphed by Desmos.
The point you want is (3,2)
The answer is 2.
Two
Multiply the second equation by 2
2[0.5x - y = 10]
x - 2y = 20 Add the first equation
x + 2y = 16
2x = 36 Divide by 2
x = 36/2
x = 18
Since this is all you are asked for, x = 18 is the answer.
Three
y is an exterior angle.
It is the sum of the two (given) remote interior angles.
y = 35 + 105
y = 140
x and y are supplementary (they add up to 180o
x + y = 180
x + 140 = 180
x = 180 - 140
x = 40
y - x = 140 - 40
y - x = 100
TIMED!!!
Marlon built a ramp to put in front of the curb near his driveway so he could get to the sidewalk more easily from the street on his bike.
If the ramp includes the flat piece as well as the angled piece and is made entirely out of concrete, what is the total amount of concrete in the ramp?
768in^3
936in^3
984in^3
1,080in^3
Answer: Last option.
Step-by-step explanation:
The total amount of concrete in the ramp ([tex]V_t[/tex]) will be the sum of the volume of the rectangular prism ([tex]V_{rp}[/tex]) and the volume of the triangular prism ([tex]V_{tp}[/tex])
[tex]V_t=V_{rp}+V_{tp}[/tex]
The formulas are:
[tex]V_{rp}=lwh[/tex]
Where "l" is the lenght, "w" is the width and "h" is the height.
[tex]V_{tp}=\frac{bhl}{2}[/tex]
Where "l" is the lenght, "b" is the base and "h" is the height.
Substituting, we get:
[tex]V_t=V_{rp}+V_{tp}\\\\V_t=lwh+\frac{bhl}{2}\\\\V_t=(18in)(6in)(6in)+\frac{(8in)(6in)(18in)}{2}\\\\V_t=1,080in^3[/tex]
Answer:
The guy above me is correct lol
Step-by-step explanation:
My car uses 8 gallons of gasoline to travel 340 miles. After a Mechanic worked on it. The car uses 7 gallons of gasoline to travel 350 miles. The cost of the gasoline was $4 each per gallon. How much less, to the nearest cent per mile after the mechanic worked on it
But in cost
(50×4)-(42.5×4)
Rs30
What is the limit of e^x, as x approaches pi.
Answer:
[tex]\lim_{x \to \pi } e^x=e^\pi[/tex]
Step-by-step explanation:
Verify the identity
Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 70 degrees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 degrees to find the measure of each angle.
The measure of the first angle is _____
Answer:
66
Step-by-step explanation:
x is the second angle
3x is the first angle
x+70 is the third angle
x+3x+x+70=180
5x = 110
x= 22
first angle: 3x = 3*22 = 66
Answer:
Second angle: 22°
And the other angles are:
First angle: 66°
Third angle: 92°
Step-by-step explanation:
Let be:
[tex]x[/tex] the measure of the second angle.
[tex]3x[/tex] the measure of the first angle.
[tex](x+70)[/tex]: the measure of the third angle.
Then, knowing that the sum of the interior angles of a triangle is 180 degrees, you can write this expression and solve for "x",to calculate the measure of the second angle:
[tex]x+3x+(x+70)=180\\5x+70=180\\5x=180-70\\\\x=\frac{110}{5}\\\\x=22\°[/tex]
You can also know that:
First angle:
[tex]3x=2(22\°)=66\°[/tex]
Third angle:
[tex]x+70\°=22\°+70\°=92\°[/tex]
A machine is set up to cut metal strips of varying lengths and widths based on the time (t) in minutes. The change in length is given by the function `l(t) = t^2 - sqrt(t)`, and the change in width is given by `w(t) = t^2 - 2t^(1/2)`. Which function gives the change in area of the metal strips? A. `a(t) = t^4 + 2t` B. `a(t) = t^4 + 2t + 3t^(5/2)` C. `a(t) = t^4 - 3t^(5/2) + 2t` D. `a(t) = t^4 + 2t - 2t^(1/2) + sqrt(t)`
Answer:
The change of area A(t) = t^4 - 3t^(5/2) + 2t ⇒ answer C
Step-by-step explanation:
* Lets study the problem
- The metal strip is in a shape of rectangle
- The change in length l(t) = t² - √t
- The change is the width w(t) = t² - 2t^1/2
* We must find function gives the change of area
∵ The area of the rectangle = length × width
∴ The change of rate of area A(t) = l(t) × w(t)
- We can write the √t in exponential form t^1/2
∴ l(t) = t² - t^1/2
∵ w(t) = t² - 2t^1/2
∵ A = l × w
∴ A(t) = l(t) × w(t)
∴ [tex]A(t)=(t^{2}-t^{\frac{1}{2}})(t^{2}-2t^{\frac{1}{2}})[/tex]⇒use the foil method
∴ [tex]A(t)=(t^{2})(t^{2})+(t^{2})(-2t^{\frac{1}{2}})+(-t^{\frac{1}{2}})(t^{2})+(-t^{\frac{1}{2}})(-2t^{\frac{1}{2}})[/tex]
- If we multiply two same numbers have exponents, then we add
the power of them
∴ [tex]A(t)=(t^{2+2})-2t^{2+\frac{1}{2}}-t^{\frac{1}{2}+2}+2t^{\frac{1}{2}+\frac{1}{2}}[/tex]
∴ [tex]A(t)=t^{4}-2t^{\frac{5}{2}}-t^{\frac{5}{2}}+2t[/tex]
* Now lets add the like terms
∴ [tex]A(t)=t^{4}-3t^{\frac{5}{2}}+2t[/tex]
* The change of area A(t) = t^4 - 3t^(5/2) + 2t
Answer:
the answer is C
Step-by-step explanation:
Which graph shows the correct solution for y=-3 x-y=8
Answer:
"Third graph" in the attached picture.
Step-by-step explanation:
The correct graph would be the "intersection" of the lines:
y = -3, and
x - y = 8
We know, y = -3 is a horizontal line at y = -3 and the next is a line. By looking at the first equation, we can eliminate 2 graphs and thus find the correct graph.
y = -3 is a horizontal line at y = -3, the first graph has the line y = 3, so we can eliminate this even without looking at the graph of 2nd equation.
The second graph has a vertical line, no horizontal, so we can eliminate this choice as well.
The third graph has y = -3 (horizontal line at y = -3) and thus this is the correct choice. Also, x - y = 8 means y = x -8, which is the other graph shown.
correct answer is the "third graph".
Answer: last option.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b the intersection with the y-axis.
The line [tex]y=-3[/tex] is a line with slope 0 that cut the y-axis at (0,-3)
Solve for y from the second equation:
[tex]x-y=8\\x-8=y[/tex]
The line [tex]y=x-8[/tex] is a line with slope 1 that cut the y-axis at (0,-8)
You can identify these lines in the last graph, where the point of intersection between them is the solution of the system of equations.
Find the value of X. If necessary, round your answer to the nearest tenth.
Answer:
D. 10
Step-by-step explanation:
The chord is bisected as shown by the perpendicular lines and right angle, so both segments are 6.
Draw a radius from the center to the end of the chord to create a right triangle. 8 and 6 are the legs, use pythagorean theorem to find the length of the segment you drew because its the hypotenuse.
8^2+6^2=x^2
64+36
100
square root of 100 is 10
So, 10 is the length of the segment. Both the x segment and the 10 segment are radii because they are draw from the center to a point on the circle.
They are equal.
x=10
ANSWER
10
EXPLANATION
The value of x is the radius of the circle.
The radius of the circle is also the hypotenuse of the right triangle formed by the chord, the radius and the segment bisecting the chord through the center.
We apply the Pythagoras Theorem to obtain:
[tex] {x}^{2} = {8}^{2} + {6}^{2} [/tex]
[tex] {x}^{2} = 64 + 36[/tex]
[tex] {x}^{2} = 100[/tex]
Take positive square root
[tex]x = \sqrt{100} [/tex]
[tex]x = 10[/tex]
which is a rule that describes the translation of a point from 4, -8 to 7, -10
(x, y) > (x + 3, y - 2)
(x, y) > (x + 3, y + 2)
(x, y) > x - 3, y - 2
(x, y) > (x - 3, y + 2)
Answer:
[tex]\large\boxed{(x,\ y)\to (x+3,\ y-2)}[/tex]
Step-by-step explanation:
[tex](4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)[/tex]
Answer:
first choice: (x, y) ------> (x + 3, y - 2)
Step-by-step explanation:
The x-coordinate started as 4. Then it became 7. To change from 4 to 7, you add 3. The rule for x is to add 3.
The y-coordinate started as -8. Then it became -10. To go from -8 to -10, you subtract 2. The rule for y is to subtract 2.
Look at the choices, and pick the one that adds 3 to x and subtract 2 from y.
The answer is the first choice: (x, y) ------> (x + 3, y - 2)
Henry gargles with mouthwash. Which is a responsible amount of mouthwash for Henry to use? 2 fluid ounces, 8 fluid ounces, 12 fluid ounces, or 20 fluid ounces.
Answer:
2 fluid ounces
Step-by-step explanation:
8 is a lot of mouthwash to use and anything aove that is a just alot...
HELP PLEASE
A stadium is charging $45 per ticket for a big concert, and through a special promotion,
there is no service fee. What are the parameters in this scenario?
a. x and f(x)
b. 7 and 45
c. 0 and 45
d. 1 and 52
Answer:
c
Step-by-step explanation:
Since there's no service fee, Answer c is correct. Here, 0 represents the zero service fee and 45 represents the $45 cost of each ticket.
The volume of a small packing box is "3x^2 + 3x" in^3 smaller than a large packing box with a volume of "5x^2 − 2x + 10" in^3. Find a single expression that represents the size of a small packing box.
A) 2x2 − 2x + 10
B) 2x2 − 5x + 10
C) 8x2 − 5x + 10
D) 8x2 + x + 10
I honestly need help on this to
Step-by-step explanation:
b
What is the volume of the regular pyramid below?
For this case we have by definition that the volume of the pyramid shown is given by:
[tex]V = \frac {A_ {b} * h} {3}[/tex]
Where:
[tex]A_ {b}:[/tex] Is the area of the base of a square
h: It's the height
According to the data of the figure shown we have:
[tex]A_ {b} = 10 * 10 = 10 ^ 2 = 100 \ units ^ 2\\h = 81 \ units[/tex]
Substituting:
[tex]V = \frac {100 * 81} {3}\\V = \frac {8100} {3}\\V = 2700 \ units ^ 3[/tex]
Answer:
Option D
Answer:
The correct answer is option D. 2700 units²
Step-by-step explanation:
Formula:-
Volume of pyramid = (a²h)/3
Where a - side of base
h - height of pyramid
To find the volume of pyramid
Here base side = 10 units and h = 81 units
Volume = (a²h)/3
= (10² * 81)/3 = 8100/3 = 2700 units²
Therefore the correct answer is option D. 2700 units²
Identify the solid.
A.
pentagonal prism
B.
dodecahedron
C.
hexahedron
D.
hexagonal prism
Answer:
hexagonal prism
Step-by-step explanation:
This solid is a hexagonal figure because the shape of its base is a hexgaon.
Answer:
The answer is hexagonal prism.
Hope this helps.☻♥
The Earth completely rotates on its axis once every 24 hours.
A) How long does it take for it to rotate 310 degrees?
B) How long does it take to rotate 5 radians?
C) The diameter of the Earth is approximately 7920 miles. How far will a point on the equator rotate in 2 hours?
Show all work. Give answers to the nearest hundredth. Include the units in your response.
Answer:
A)
62/3 = 20.67 hours
B)
60.00 hours
C)
2074.29 miles
Step-by-step explanation:
If we assume the earth is a perfect circle, then in a complete rotation the earth covers 360 degrees or 2π radians.
A)
In 24 hours the earth rotates through an angle of 360 degrees. We are required to determine the duration it takes to rotate through 310 degrees. Let x be the duration it takes the earth to rotate through 310 degrees, then the following proportions hold;
(24/360) = (x/310)
solving for x;
x = (24/360) * 310 = 62/3 = 20.67 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it takes to rotate through 5π radians. Let x be the duration it takes the earth to rotate through 5π radians, then the following proportions hold;
(24/2π radians) = (x/5π radians)
Solving for x;
x = (24/2π radians)*5π radians = 60 hours
C)
If the diameter of the earth is 7920 miles, then in 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle we have;
circumference = 2*π*R = π*D
= 7920π miles
Therefore, the speed of the earth is approximately;
(7920π miles)/(24 hours) = 330π miles/hr
The distance covered by a point in 2 hours will thus be;
330π * 2 = 660π miles = 2074.29 miles
At Saturday night's football game there were 18 less fans than half the fans at Friday night's game. There were "x" fans at Fridays game. Write an expression to represent the number of fans at Saturdays game.
Answer:
[tex]\boxed{ \frac{ 1}{ 2}x - 18}[/tex]
Step-by-step explanation:
x = fans at Friday's game
½x = half the fans at Friday's game
½x – 18 = 18 fewer than half the fans at Friday's game
[tex]\boxed{ \frac{ 1}{ 2}x - 18}[/tex] = fans at Saturday's game.
A factory makes 12 bags in three hours making both at the same rate how many bags would have made an eight hours
Known: 12 bags in 3 hours
Question: X bags in 8 hours
1) Find the amount of bags made in 1 hour
12/3 = 4 bags per hour
2) If each hour makes 4 bags, and the factory is running for 8 hours then multiply the rate of bag production by the time running
8*4=32
Final Answer = 32 bags
I tried to personal message you but it didn't work. I have a question about your question it says "making both at the same rate". My question is both what?
The second term of an arithmetic sequence is 7. The sum of the first 4 terms of the arithmetic sequence is 12. Find the first term, and the common difference, d, of the sequence.
*Please help*
Answer:
15 is the answer
Step-by-step explanation:
4Σn=! n/n!
I understand what the denominator, n! is by definition. I just don't understand what to put for the numerator when n = !
Can anyone help me figure this out?
I think the sum is supposed to be
[tex]\displaystyle\sum_{n=1}^4\frac n{n!}=\sum_{n=1}^4\frac1{(n-1)!}[/tex]
since [tex]n!=n\cdot(n-1)![/tex]. Then
[tex]\displaystyle\sum_{n=1}^4\frac1{(n-1)!}=\frac1{0!}+\frac1{1!}+\frac1{2!}+\frac1{3!}[/tex]
and [tex]0!=1[/tex] by definition so that the sum has a value of [tex]\dfrac83[/tex].
Can someone please help with NUMBER 7?!! It’s my last one I will mark brainliest to the best answer
Answer:
1, 3, 9, 27
Step-by-step explanation:
[tex] a_n = 3^{n - 1} [/tex]
You need the first 4 terms, so let n = 1, and evaluate the expression. Then do the same for n = 2, n = 3, and finally n = 4.
n = 1
[tex] a_1 = 3^{1 - 1} = 3^0 = 1 [/tex]
n = 2
[tex] a_2 = 3^{2 - 1} = 3^1 = 3 [/tex]
n = 3
[tex] a_3 = 3^{3 - 1} = 3^2 = 9 [/tex]
n = 4
[tex] a_4 = 3^{4 - 1} = 3^3 = 27 [/tex]
You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a system with the same solution?
3x + 6y = 8
4x + 2y = 10
A) subtract 6 times the second equation from 2 times the first equation
B) add 3 times the first equation and −9 times the second equation
C) multiply the first equation by 1/3
and subtract the second equation
D) multiply 6y by 1/3 in the first equation and subtract the second equation
D is the correct answer.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A density curve for all the possible ages between 0 years 50 years is in the shape of a triangle,what is the height of the triangle
Answer: The answer is 0.04
Step-by-step explanation:
To determine the height of a triangle-shaped density curve spanning from 0 to 50 years, we use the fact that the area under the density curve must equal 1. The equation (50 * height) / 2 = 1 allows us to solve for the height, which is 0.04 on the probability density scale.
Explanation:To determine the height of the triangle representing a density curve for possible ages, we need some information about the properties of that triangle and density curves in general. A density curve shows how the proportion of a particular measurement (in this case, ages) is spread out over a range. The area under a density curve must equal 1 (or 100%) since it represents the total probability distribution.
In this scenario, we have a triangle as a density curve stretching from 0 to 50 years, which suggests that 0 and 50 are the bounds of our variable (age). The base of the triangle spans these 50 years. If we assume a right-angled triangle for simplicity's sake (which isn't specified in the question but is a common assumption), then the area of the triangle, which represents the probability, would be (base * height) / 2.
To ensure that the total area under the curve equals 1, we set up the following equation: (50 * height) / 2 = 1. Solving this equation for height gives us height = 2 / 50, which simplifies to height = 0.04. Therefore, the height of the density triangle is 0.04 on whatever scale is being used for probability density (e.g., per year).
If a home is valued at $250,000 and the property tax rate is 2 percent, how much will the owners pay in property taxes? $50 $500 $5,000 $50,000
Answer:
$5,000
Step-by-step explanation:
NOT 100% SURE BUT I THINK ITS LIKE THIS
2% = 0.02 tax in a decimal form
$250,000 price of home
0.02 x 250,000= 5,000
The amount that the owner pay in property taxes is: $5,000.
Owner property taxes:Using this formula
Property taxes amount=House value×Property tax rate
Where:
House value=$250,000
Property tax rate=2%
Let plug in the formula
Property taxes amount=$250,000×2%
Property taxes amount=$5,000
Inconclusion the amount that the owner pay in property taxes is $5,000.
Learn more about property taxes here:https://brainly.com/question/25844719
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
Answer:
Step-by-step explanation:
(3w^4-8w^2z^2+4z^4)-(5w^4+7w^2z^2-8z^4)
=3w^4-8w^2z^2+4z^4-5w^4-7w^2z^2+8z^4
=(3-5)w^4+(-8-7)w^2z^2+(4+8)z^4
so she made mistake in step 2.
Use a special triangle on the unit circle to determine the value of tan π/6.
Answer:
D) √3/3
Step-by-step explanation:
The coordinates of the point at the angle π/6 are shown as (√3/2, 1/2). The tangent of the angle is the ratio of the y-coordinate to the x-coordinate:
tan(π/6) = (1/2)/((√3)/2) = 1/√3 = (√3)/3 . . . . matches choice D
Explain the steps used to convert a temperature from Celsius to Fahrenheit.
For this case we have that by definition, to move from Celsius to Fahrenheit we must apply the following formula:
[tex]F = \frac {9} {5} C + 32[/tex]
Example, we want to convert 45 degrees Celsius to Fahrenheit:
[tex]F = \frac {9} {5} (45) +32\\F = 9 * 9 + 32\\F = 81 + 32\\F = 113[/tex]
Thus, 45 degrees Celsius equals 113 degrees Fahrenheit.
ANswer:[tex]F = \frac {9} {5} C + 32[/tex]
For anyone who still needs this:
1. Multiply your Celsius measurement by 9/5 (or 1.8)
2. Add 32 to the result
Formula: F = (9/5)°C + 32
If sin x = -3/5 and x is in quadrant 3, then tan2x
Answer:
i think it should be tan2x = 24/7, i hope i am not wrong
Step-by-step explanation:
If sin x = -3/5 and x is in quadrant 3, then tan 2x = 24/7.
How to estimate the value of tan 2x?
Given:
[tex]$Sin x = \frac{-3}{5}[/tex]
To estimate cos x by identity
[tex]$Cos^{2} x=1-Sin^{2} x[/tex]
[tex]$Cos^{2} x =1-\frac{9}{25}[/tex]
[tex]$=\frac{16}{25}[/tex]
cos x = ±(4/5)
Since x exists in Quadrant III, then cos x exists negative.
tan x = Sin x/Cos x
= (−35)/(−54) = 3/4
By using the trigonometric identity, we get
tan 2x = 2 tan x / [tex]$1-tan^{2} x[/tex]
tan 2x = (6/4) / (1−9/16)
= (6/4)(16/7)
= 24/7
Therefore, tan 2x = 24/7.
To learn more about trigonometric identity
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Explain how to solve this, step by step?
Together, a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Calculate the cost of the chair, the table, and the lamp.
Answer:
The cost of chair is [tex]\$260[/tex]
The cost of a lamp is [tex]\$65[/tex]
The cost of a table is [tex]\$237[/tex]
Step-by-step explanation:
Let
x----> the cost of chair
y----> the cost of lamp
z----> the cost of table
we know that
[tex]x+y+z=562[/tex] ----> equation A
[tex]x=4y[/tex] -----> [tex]y=x/4[/tex] -----> equation B
[tex]z=x-23[/tex] ------> equation C
substitute equation C and equation B in equation A and solve for x
[tex]x+(x/4)+(x-23)=562[/tex]
[tex](9/4)x=562+23[/tex]
[tex](9/4)x=585[/tex]
[tex]x=585*4/9=\$260[/tex]
Find the value of y
[tex]y=260/4=\$65[/tex]
Find the value of z
[tex]z=260-23=\$237[/tex]
therefore
The cost of chair is [tex]\$260[/tex]
The cost of a lamp is [tex]\$65[/tex]
The cost of a table is [tex]\$237[/tex]
Assignment 01.11 Estimating
Step 1- Read the passage Who was Leonardo da Vinci?
Who was Leonardo da Vinci?
Leonardo da Vinci trained as a painter during the Renaissance and became a true master of the craft. His amazing powers of observation and skill as an illustrator enabled him to notice and recreate the effects he saw in nature, and added a special liveliness to all of his portraits. Curious as well as observant, he constantly tried to explain what he saw, and described many experiments to test his ideas. Because he wrote down and sketched so many of his observations in his notebooks, we know that he was among the very first to take a scientific approach towards understanding how our world works and how we see it. He had a keen eye and quick mind that led him to make important scientific discoveries, yet he never published his ideas. He was a gentle vegetarian who loved animals and despised war, yet he worked as a military engineer to invent advanced and deadly weapons. He was one of the greatest painters of the Italian Renaissance, yet he left only a handful of completed paintings.
Step 2- In the paragraph above, estimate the number of words by using the following three methods, and answer the the four questions that follow. You must show all work. Even if you have the right answer you will not get full credit without work.
Method 1 - Count the number of words in one sentence
and then multiply that number by the number of sentences in the paragraph.
Method 2 - Count the number of words in one line
and then multiply that number by the number of lines in the paragraph.
Method 3 - Find the number of words in three lines
and then divide by three to find out the average number of words in these lines.
Then multiply this by the number of lines in the paragraph.
Question 1
What is estimate of the total number of words with method 1? What sentence did you use?
Question 2
What is estimate of the total number of words with method 2? What line did you use?
Question 3
What is estimate of the total number of words with method 3?
Question 4
Which estimation method is the closest to the actual number of words?
Answer:
Q1. 168 words from sixth sentence.
Q2. 171 words from line 3.
Q3. 177 words from the first three sentences.
Q4. Method 3.
Step-by-step explanation:
Question 1.
The paragraph has seven sentences.
I chose the sixth sentence ("gentle vegetarian"). It contains 24 words.
7 sentences × (24 words/1 sentence) = 168 words
Question 2.
The passage contains 19 lines.
I chose line 3 ("amazing powers"). It contains nine words.
19 lines × (9 words/1 line) = 171 words.
Question 3.
I chose the first three lines. They contain 28 words.
Words per line = 28 words/3 lines = 9.33 words per line
Total words = 19 lines × (9.33 words/1 line) = 177 words
Question 4
The passage contains 176 words. Method 3 comes closest to the actual number of words.