in two or more complete sentences, compare the slopes of the two functions. in your comparison, include which function has the greatest slope.
Answers
Slope of g (x) : ZERO. The slope of any horizontal line is zero, 0.
Slope of f (x) :
let's take the points ( -4, 7) and (-2, 5) from the table
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-7}{-2-(-4)}=\frac{-2}{-2+4}=\frac{-2}{2}=-1[/tex]Answer: The slope of g (x ) is zero since it is a horizontal line while the slope of f (x) is -1. The slope of g(x) i greater than the slope of f(x).
Related Questions
The numbers of trading cards owned by 9 middle- school students are given below. ( note that these are already ordered from least to greatest.
Answers
Given the numbers:
355, 382, 383, 427, 500, 572, 601, 638, 669
Total numbers = 9
a) We find the mean:
[tex]\begin{gathered} mean=\frac{355+382+383+427+500+572+601+638+669}{9} \\ mean=\frac{4527}{9}=503 \end{gathered}[/tex]Change 669 to 606:
[tex]\begin{gathered} mean=\frac{355+382+382+427+500+572+601+638+606}{9} \\ mean=\frac{4464}{9}=496 \end{gathered}[/tex]Then:
[tex]\begin{gathered} mean=changed\text{ mean}-original\text{ mean} \\ mean=496-503=-7 \end{gathered}[/tex]Answer: It decreases by 7
b) We find median
Median: 355, 382, 383, 427, 500, 572, 601, 638, 669
Median = 500
669 changed to 606
Median: 355, 382, 383, 427, 500, 572, 601, 606, 638
Median = 500
Answer: It stays the same
i have questions on a math problem. i can send when the chats open
Answers
The random sample is determined as the simplest forms of collecting data from the total population.
Under random sampling, each member of the subset carries an equal opportunity of being chosen as a part of the sampling process.
So according to the question given
Assign each person of the population a number. Put all the numbers into bowl and choose ten numbers.
is the random sample because every person carries an equal opportunity of being chosen from the total population.
Hence the correct option is A.
if 453 runners out of 620 completed a marathon, what percent of the funners finished the race?
Answers
Answer: 73.1%
Step-by-step explanation:
620/453 = 73.1%
Pls check so you can see if correct
Find an equation for the line that passes through the points (2,2) and (-6,4)
Answers
Answer:
y=-1x/4+5/2
Step-by-step explanation:
use the slope formula
Solve the following expression when
r = 22
r
11+3+r
Answers
11 +3 + r
11+3 = 14
So 14 + 22 is 36
Ans:36
Hope this helps!
writing to explain in your own words tell what it meant by the absolute value of an integer
Answers
An absolute value of an integer is defined as a positive value/ digit of an integer regardless of the sign.
The symbol used is as shown below;
[tex]\parallel\text{ -3 }\parallel[/tex]or single lines as;
This means in absolute value of an integer , negative 2 is equal to positive 2.
Answer
In summary, an absolute value of an integer is a non-negative value , and the sign will only indicate direction, if well stated.
What is the volume of the figure in cubic inches?
Answers
Solution
First, we need to convert the dimensions in feet to inches
[tex]\begin{gathered} \text{ since } \\ 1\text{ ft}=12\text{ inches} \\ \\ \Rightarrow1.5\text{ ft}=1.5\times12\text{ inches}=18\text{ inches} \\ \Rightarrow0.5\text{ ft}=0.5\times12\text{ inches}=6\text{ inches} \end{gathered}[/tex]Hence, the volume is;
[tex]V=l\times b\times h[/tex][tex]V=4\times18\times6=432\text{ inches cubic}[/tex]Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,θ) of this point in which:
Answers
Hello there. To solve this question, we have to remember some properties about polar coordinates.
Given a point (x, y) and we want to plot the graph for (r, theta) after making the transformation, the graph will be something like the following:
In this case, we want to graph the point (5, 3pi/4)
First, notice 3pi/4 = 75º, which is in the first quadrant.
Therefore the graph will indeed look like the one above:
Which is the option contained in the first answer.
An electrician needs 6 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 3/62 of a roll of wire?
Answers
Use a rule of three to find the amount of rooms wire with 3/62 rolls:
[tex]x=\frac{\frac{3}{62}rolls*1room}{6rolls}=\frac{\frac{3}{62}}{6}rooms=\frac{3}{6*62}rooms=\frac{3}{372}rooms=\frac{1}{124}rooms[/tex]Then, with 3/62 of a roll can be wire 1/124 parts of a roomA commercial citrus farm has decided to mechanise the planting operation. A tractor was
purchased that can plant and water seedlings automatically with pneumatic tubes. In order to
ensure the saplings receive the correct amount of water, a maximum variance of 55mm2
is
tolerated when watering. A sample of 31 planting lines were measured and the variance was
found to be 68mm2
. Test at 1% level of significance if the tractor is not operating correctly.
Answers
From the checks and calculation the tractor is not operating correctly.
What is standard deviation?Standard deviation refers to by how how much the data varies from the mean
How to determine if the tractor is not operating correctlyGiven data form the question
1% level of significance
variance was found to be 68mm2
A sample of 31 planting lines
a maximum variance of 55mm2
Definition of variables
1% level of significance is equivalent to 99% confidence interval
mean sample, μ = ?
standard deviation, SD = √variance = √68 = 8.246
Z score, Z = 2.576
from z table z score of 99%confidence interval = 2.576sample size, n = 31
maximum variance, X = 55mm2
The formula in term s of Z is
Z = ( X - μ ) / SD
2.576 = (55 - μ) / 8.246
(55 - μ) = 2.576 * 8.246
55 - μ = 21.242
μ = 55 - 21.242
μ = 33.758 mm²
For the tractor to be working correctly the difference between the mean and 2 * SD should not be more than the maximum variance which is 55mm²
55mm² ≥ mean ± 2 * SD
55mm² ≥ 33.758 mm² ± 2 * 8.246
55mm² ≥ 50.25
Since 50.25 is less than the maximum variance the tractor is operating correctly
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What is a plane that is perpendicular to the base of a Cube and slices through the cube
Answers
The figure formed will be hexagonal
Four research teamed each used a different method to collect data on how fast a new strain of maize sprouts. Assume that they all agree on the sample size and the sample mean ( in hours). Use the (confidence level; confidence interval) pairs below to select the team that has the smallest sample standard deviation
Answers
We need to identify the team that has the smallest sample standard deviation.
In order to do so, we need to find the stand deviation of each experiment based on the confidence level and confidence interval of each of them.
A. A confidence level of 99.7% corresponds to a confidence interval of 3 standard deviations above and 3 standard deviations below the mean.
Thus, for the confidence interval 42 to 48, the mean is 45. And the standard deviation is given by:
[tex]\begin{gathered} 3\sigma=48-45=3 \\ \\ \sigma=\frac{3}{3} \\ \\ \sigma=1 \end{gathered}[/tex]B. A confidence level of 95% corresponds to a confident interval of 2 standard deviations above and 2 standard deviations below the mean.
Thus, for the confidence interval 43 to 47, the mean is 45. And the standard deviation is given by:
[tex]\begin{gathered} 2\sigma=47-45=2 \\ \\ \sigma=\frac{2}{2} \\ \\ \sigma=1 \end{gathered}[/tex]C. A confidence level of 68% corresponds to a confident interval of 1 standard deviation above and 1 standard deviation below the mean.
Thus, for the confidence interval 44 to 46, the mean is 45. And the standard deviation is given by:
[tex]\begin{gathered} \sigma=46-45 \\ \\ \sigma=1 \end{gathered}[/tex]D. Again, we have a confidence level of 95%, which corresponds to 2 standard deviations.
Thus, for the confidence interval 44 to 46, the mean is 45. And the standard deviation is given by:
[tex]\begin{gathered} 2\sigma=46-45=1 \\ \\ \sigma=\frac{1}{2} \\ \\ \sigma=0.5 \end{gathered}[/tex]Therefore, the team that has the smallest sample standard deviation is:
Answer
Given two functions f(x) and g(x):f(x) = 8x - 5,8(x) = 2x2 + 8Step 1 of 2 Form the composition f(g(x)).Answer 2 PointsKeypadKeyboard Shortcutsf(g(x)) =>Next
Answers
we have the functions
[tex]\begin{gathered} f(x)=8x-5 \\ g(x)=2x^2+8 \end{gathered}[/tex]Find out f(g(x))
Substitute the variable x in the function f(x) by the function g(x)
so
[tex]\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=8(2x^2+8)-5 \\ f(g(x))=16x^2+64-5 \\ f(g(x))=16x^2+59 \end{gathered}[/tex]Consider the following functions.S(x) = x2 - 4x + 4 and g(x) = x - 2Step 1 of 2: Find• ()a). simplify your answer.AnswerKeybo(*)(x) =Subn
Answers
Answer:
[tex]x-2[/tex]Explanation:
Here, we want to simplfy the given expression
From what we have:
[tex](\frac{f}{g})(x)\text{ = }\frac{f(x)}{g(x)}[/tex]Substituting the values, we have it that:
[tex]\frac{x^2-4x+4}{x-2}\text{ = }\frac{(x-2)(x-2)}{x-2}\text{ =x-2}[/tex]In a sourball game, a fizzy is worth 2 points and a X is worth 5 points. K and W recently played for the sourball game. During the game, K scored eight more fizzles than the W, but scored 5 fewer Y than the W. Together the two teams scored 93 pints total. What was the final score?
Answers
Using mathematical operations of addition, multiplication, division, and subtraction, the final score was:
K = 42 pointsW = 51 points.What are mathematical operations?The basic mathematical operations for getting mathematical results from numbers, values, and variables include addition, multiplication, division, and subtraction.
In this situation, we apply these four basic mathematical operations.
Fizzy = 2 points
X = 5 points
Total scores = 93 points
The points in 8 Fizzys = 16 points (8 x 2)
The points in 5 Xs = 25 points (5 x 5)
The equation showing the total scores of K = total scores + 16 - 25
= (93 + 16 - 25)/2
= 42 points
The equation showing the total scores of W = total scores - 16 + 25
= (93 - 16 + 25)/2
= 51 points
Final scores are K = 42 and W = 51.
Thus, applying mathematical operations, the final score shows that K scored 42 points while W scored 51 points, totaling 93 points for the two teams.
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Can someone please help me on this question, I'm a little stuck? The question should be down below!
Answers
We have a right triangle with a missing side.
When we have two sides given sides on the right triangle and we need to find the missing side, we use the Pythagoras theorem:
The formula is given by:
[tex]a^2=b^2+c^2[/tex]Where:
a = Hypotenuse
b= Opposite side
c= Adjacent side
Now, we need to label the sides of the given triangle:
The largest side, represents the hypotenuse, in this case, a=15m.
The adjacent side is between the 90 degrees angle and the hypotenuse, in this case, c = 9m
Therefore, the missing side is the opposite side, let set b for this side:
Replacing these values:
[tex](15m)^2=b^2+(9m)^2[/tex][tex]225=b^2+81[/tex]Solve the equation for b:
[tex]225-81=b^2[/tex][tex]144=b^2[/tex][tex]\sqrt[]{144}=\sqrt[]{b^2}[/tex]Therefore, the missing side:
[tex]12=b[/tex]
Watch help videoGiven the matrices A and B shown below, find – B - A.318154B12be-12
Answers
Given two matrices
[tex]A=\begin{bmatrix}{-18} & {3} & {} \\ {-15} & {-6} & {} \\ {} & {} & {}\end{bmatrix},B=\begin{bmatrix}{-4} & {12} & {} \\ {8} & {-12} & {} \\ {} & {} & {}\end{bmatrix}[/tex]We will solve for the resultant matrix -B - 1/2A.
This operation is represented as
[tex]-B-\frac{1}{2}A=-\begin{bmatrix}{-4} & {12} & {} \\ {8} & {-12} & {} \\ {} & {} & {}\end{bmatrix}-\frac{1}{2}\begin{bmatrix}{-18} & {3} & {} \\ {-15} & {-6} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Let's simplify the matrices further based on scalar operations that can be done here. The B matrix will be multiplied by -1 while the A matrix will be multiplied by 1/2. We now have
[tex]-B-\frac{1}{2}A=\begin{bmatrix}{4} & {-12} & {} \\ {-8} & {12} & {} \\ {} & {} & {}\end{bmatrix}-\begin{bmatrix}{-9} & {\frac{3}{2}} & {} \\ {\frac{-15}{2}} & {-3} & {} \\ {} & {} & {}\end{bmatrix}[/tex]Now, we apply the subtraction of matrices to the simplified matrix operation above. We have
[tex]\begin{gathered} -B-\frac{1}{2}A=\begin{bmatrix}{4-(-9)} & {-12-\frac{3}{2}} & {} \\ {-8-(-\frac{15}{2})} & {12-(-3)} & {} \\ {} & {} & {}\end{bmatrix} \\ -B-\frac{1}{2}A=\begin{bmatrix}{4+9} & {-12-\frac{3}{2}} & {} \\ {-8+\frac{15}{2}} & {12+3} & {} \\ {} & {} & {}\end{bmatrix} \\ -B-\frac{1}{2}A=\begin{bmatrix}{13} & {\frac{-27}{2}} & {} \\ {-\frac{1}{2}} & {15} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}[/tex]Hence, the resulting matrix for the operation -B - 1/2A is
[tex]-B-\frac{1}{2}A=\begin{bmatrix}{13} & {\frac{-27}{2}} & {} \\ {-\frac{1}{2}} & {15} & {} \\ {} & {} & {}\end{bmatrix}[/tex]If 16 is increased to 23, the increase is what percent of the original number? (This is known as the percent of change.)
Answers
Step 1
Given data
Old value = 16
New value = 23
Step 2
Write the percentage increase formula
[tex]\text{Percentage increase = }\frac{I\text{ncrease}}{\text{Old}}\text{ }\times\text{ 100\%}[/tex]Step 3
Increase = 23 - 16 = 7
[tex]\begin{gathered} \text{Percentage increase = }\frac{7}{16}\text{ }\times\text{ 100\%} \\ =\text{ 43.75\%} \end{gathered}[/tex]Given the triangle ABC with the points A = ( 4, 6 ) B = ( 2, 8 ) C = ( 5, 10 ) and it's dilation, triangle A'B'C', with points A' = ( 2, 3 ) B' = ( 1, 4 ) C' = ( 2.5, 5 ) what is the scale factor?
Answers
Answer:
Explanation:
Given A = (4, 6) B = (2, 8) C = (5, 10)
[tex]\begin{gathered} AB=\sqrt{(2-4)^2+(8-6)^2} \\ \\ =\sqrt{8} \\ \\ BC=\sqrt{(5-2)^2+(10-8)^2} \\ \\ =\sqrt{8} \end{gathered}[/tex]SImilarly, for A' = (2, 3) B' = (1, 4) C' = (2.5, 5)
[tex]\begin{gathered} A^{\prime}B^{\prime}=\sqrt{(1-2)^2+(4-3)^2} \\ \\ =\sqrt{2} \\ \\ B^{\prime}C^{\prime}=\sqrt{(2.5-1)^2+(5-4)^2} \\ \\ =\sqrt{3.25} \end{gathered}[/tex]
Since it is a dilation, AB/A'B' should be the same as BC/B'C', but that is not the case here.
The sugar sweet company needs to transport sugar to market. The graph below shows the transporting cost (in dollars) versus the weight of sugar being transported (in tons) a.)What is the cost of transporting 0 tonsb.) What is the cost of transporting 1 tons c.) Hos much does the cost increase for each ton of sugar being transported d.) Are the amounts given in parts b. and c. equal?
Answers
The cost of transport of tons is the point of intersection between the line and the X axis
Now we see that the point O tons, corresponds in the line to the point Y=1600
this the answer a)
For answer b) the point 1 corresponds to 2000
for answer c) the cost increase per ton is 400 , that is because 2000-1600= 400, and the line is inclined with a slope equal to 1
Solve the equation on the interval [0, 2\small \pi). Show all work. Do not use a calculator - use your unit circle!
Answers
SOLUTION
Write out the equation given
[tex]\cos ^2x+2\cos x-3=0[/tex]Let
[tex]\text{Cosx}=P[/tex]Then by substitution, we obtain the equation
[tex]p^2+2p-3=0[/tex]Solve the quadractic equation using factor method
[tex]\begin{gathered} p^2+3p-p-3=0 \\ p(p+3)-1(p+3)=0 \\ (p-1)(p+3)=0 \end{gathered}[/tex]Then we have
[tex]\begin{gathered} p-1=0,p+3=0 \\ \text{Then} \\ p=1,p=-3 \end{gathered}[/tex]Recall that
[tex]\cos x=p[/tex]Hence
[tex]\begin{gathered} \text{when p=1} \\ \cos x=1 \\ \text{Then } \\ x=\cos ^{-1}(1)=0 \\ \text{hence } \\ x=0 \end{gathered}[/tex]Similarly,
[tex]\begin{gathered} \text{When p=-3} \\ \cos x=-3 \\ x=\cos ^{-1}(-3) \\ x=no\text{ solution} \end{gathered}[/tex]Therefore x=0 is the only valid solution on the given interval [0,2π).
Answer; x=0
Find the value when x = 2 and y = 3.x ^-3y^ -3A. 54B. 216C. 1/216
Answers
Explanation:
x ^-3y^ -3
help me please I love when I can get help
Answers
To determine in how many pices of 2/3ft can a 9ft long ribbon be cut, you have to divide 9 by 2/3:
[tex]9\div\frac{2}{3}[/tex]To divide both fractions, first turn the 9 into a fraction by adding 1 as a denominator
[tex]\frac{9}{1}\div\frac{2}{3}[/tex]Now you have to invert the fraction that is the denominator of the division
[tex]\frac{2}{3}\to\frac{3}{2}[/tex]And multiply it by the first fraction
[tex]\frac{9}{1}\cdot\frac{3}{2}=\frac{9\cdot3}{1\cdot2}=\frac{27}{2}\cong13.5[/tex]She can divide the ribbon in 13 pieces of 2/3ft each
hello can you help me with this trigonometry question and in the question I have to answer it in radians hopefully you can help me please
Answers
Answer
(34π/7) = (6π/7) in the range of 0 and 2π.
Explanation
We are asked to find an angle between 0 and 2π that are coterminal with (that is, equal to) (34π/7).
34π/7 is 4.857π in decimal form, indicating that it is outside the required range. To find its equivalent in the required range, we keep going a full revolution (2π) till we get there.
(34π/7) - 2π = (20π/7)
This is 2.857π, which is still outside the required range, so, we subtract another revolution from this
(20π/7) - 2π = (6π/7)
This is 0.857π and it is solidly in the required region.
Hope this Helps!!!
Write it in reduced form as a ratio of polynomials p(x)/q(x)
Answers
We are given the following expression
[tex]\frac{x^2}{x-5}-\frac{8}{x-2}[/tex]Let us re-write the expression as a ratio of polynomials p(x)/q(x)
First of all, find the least common multiple (LCM) of the denominators.
The LCM of the denominators is given by
[tex](x-5)(x-2)[/tex]Now, adjust the fractions based on the LCM
[tex]\begin{gathered} \frac{x^2}{x-5}\times\frac{(x-2)}{(x-2)}=\frac{x^2(x-2)}{(x-5)(x-2)} \\ \frac{8^{}}{x-2}\times\frac{(x-5)}{(x-5)}=\frac{8(x-5)}{(x-2)(x-5)} \end{gathered}[/tex]So, the expression becomes
[tex]\frac{x^2(x-2)}{(x-5)(x-2)}-\frac{8(x-5)}{(x-2)(x-5)}[/tex]Now, apply the fraction rule
[tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex][tex]\frac{x^2(x-2)}{(x-5)(x-2)}-\frac{8(x-5)}{(x-2)(x-5)}=\frac{x^2(x-2)-8(x-5)}{(x-5)(x-2)}[/tex]Finally, expand the products in the numerator
[tex]\frac{x^2(x-2)-8(x-5)}{(x-5)(x-2)}=\frac{x^3-2x^2-8x+40}{(x-5)(x-2)}[/tex]Therefore, the given expression as a ratio of polynomials p(x)/q(x) is
[tex]\frac{x^3-2x^2-8x+40}{(x-5)(x-2)}[/tex]Solve the system of equations by adding or subtracting.S3x + y = 412x + y = 0The solution of the system is
Answers
Step 1:
Choose either Substitution or elimination method to solve system of equation.
Step 2:
If you choose substitution,
firstly, name the equation
3x + y = 4 .............................1
2x + y = 0 ..............................2
secondly, choose one of the equation and make one of the varable subject of the relation
2x + y = 0 .......................1
y = -2x
Step3
substitute y in equation 2
3x + (-2x) = 4
3x - 2x = 4
x = 4
Step 4:
find y from y = -2x
y = -2(4)
y = -8
( 4 ), ( -8 )
Answer:
x = 4
y = - 8
Step-by-step explanation:
3x + y = 4
2x + y = 0
(3x + y ) (-1 ) = 4 ( - 1 )
2x + y = 0
- ( 3x + y ) = - 4
2x + y = 0
Deck PlanOutside* EdgeWall A10 feetDoorway13 feet-10 feetWall BThe deck will have the shape of one fourthof a circle. What is the best estimate of thearea (A) of this deck?(Area of circle = tr2)πr)(Use 3.14 for it.)
Answers
18) the best estimate will be 75 square feet (option G)
Explanation:18) radius = 10ft
let π = 3.14
We are told the deck will have 1/4 the area of a circle. We need to first find the area of a circle.
Area of circle = πr²
[tex]\begin{gathered} Area\text{ of circle = 3.14 }\times\text{ 10}^2 \\ Area\text{ of circle = 314 ft}^2 \end{gathered}[/tex]Next, we will divide the area by 4:
[tex]\begin{gathered} Area\text{ of the deck = }\frac{area\text{ of circle}}{4} \\ Area\text{ of the deck = }\frac{314}{4} \\ \\ Area\text{ of the deck = 78.5 ft}^2 \end{gathered}[/tex]From the options, the one close to the result we got is 75 square feet
Hence, the best estimate will be 75 square feet (option G)
8.5 cm 6.5 cm 2.25 cm Which measurement is closest to the surface area of the triangular prism in square centimeters?
Answers
This problem provides the faces of a triangular prism, and we need to calculate the surface area.
The surface area of the prism is equal to the sum of the area of all individual faces. Three faces are rectangles, while two are triangles.
The area of a rectangle can be found by using the following expression:
[tex]A_{rectangle}=length*width[/tex]While the area of a triangle can be found by using the following expression:
[tex]A_{triangle}=\frac{base*height}{2}[/tex]Two rectangles are equal, with measurements 2.25 cm by 8.5 cm, one rectangle has a measurement of 6.5 cm by 2.5 cm, and the two triangles are equal with a base equal to 6.5 cm and a height of 8.5 cm, therefore we have:
[tex]\begin{gathered} A_{rectangle}1=2.25\cdot8.5=19.125\text{ cm}\\ \\ A_{rectangle}2=6.5\cdot2.25=14.625\text{ cm}\\ \\ A_{triangle}=\frac{6.5\cdot8.5}{2}=27.625\text{ cm}\\ \\ \end{gathered}[/tex]And the total area is:
[tex]\begin{gathered} A_{total}=2\cdot A_{rectangle}1+A_{rectangle}2+2\cdot A_{triangle} \\ A_{total}=2\cdot19.125+14.625+2\cdot27.625 \\ A_{total}=108.125\text{ square centimeters} \end{gathered}[/tex]The surface area of the prism is approximately 108 square centimeters.
help meeeeeeeeee pleaseee !!!!!
Answers
For the given functions, the two compositions are:
(f o g)(x) = 9x² + 5
(g o f)(x) = 3*x² + 15
How to find the compositions of the functions?Here we have two functions which are:
f(x) = x² + 5
g(x) = 3x
Now we want to find the compositions:
(f o g)(x) = f( g(x) )
So we just need to evaluate f(x) in g(x), we will get:
f( g(x) ) = g(x)² + 5
f( g(x) ) = (3x)² + 5 = 9x² + 5
The other composition is:
(g o f)(x) = g(f(x))
And we can get this in a similar way:
g(f(x)) = 3*f(x) = 3*(x² + 5) = 3*x² + 15
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3-4 Ch 8 L 5-7 Test (modified) Is the given value a solution of the inequality? 2 + m > 10 m = 7
Answers
2 + m > 10
substituting with m = 7, we get:
2 + 7 > 10
9 > 10
which is false, because 9 is less than 10
