Answer:
(a) D(t) = 250t -500 miles
(b) Controller has 2 hours, but including time for pilots to divert course or altitude.
Step-by-step explanation:
Given:
two planes at same altitude heading in a collision course.
Plane A at 400 miles from collision point at 200 mph
Plane B at 300 miles from collision point at 150 mph.
Theoretical collision happens in
t = 400/200 = 300/150 = 2 hours
Distance ya of plane A from collision point as a function of time in hours
ya(t) = 400 -200t
Distance yb of plane B from collision point as a function of time in hours
yb(t) = 300-150t
(a) Distance between two planes,
Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem
D(t) = sqrt(ya(t)^2+yb(t)^2)
= sqrt((400-200t)^2+(300-150t)^2)
= 250(t-2)
D(t) = 250t -500 miles
b. time available
Time until D(t) = 0
solve D(t) = 0
D(t) = 0
250(t-2) = 0
t = 2 (two hours)
Answer:
a) -500 mph
b) 1/2 h
Step-by-step explanation:
a)[tex]\frac{ (150(-300))+(200(-400))}{\sqrt{150x^{2} +200^{2} } }[/tex]
b) [tex]\frac{\sqrt{150^{2}+200^{2} } }{500}[/tex]
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Dave and his cousin Emily are picking apples in their grandparents' orchard. Dave has filled 6
baskets with apples and is filling them at a rate of 5 baskets per hour. Emily has 9 full
baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point
where they have filled the same number of baskets, they will carry them to the barn and then
eat lunch. How much fruit will they have picked by then? How long will that take?
Dave and Emily will each have filled
baskets in
hours.
Answer:
It will take 1 hour and they will have 11 baskets
Step-by-step explanation:
Dave
6 + 5h = b
Emily
9 + 2h=b
where h = hours and b = baskets
Setting the equations equal to each other
6+5h = 9+2h
Subtracting 2h from each side
6+3h = 9
Subtracting 6 from each side
3h = 3
Divide by 3
h =1
Then finding b
9+2h = b
9+2 =b
11=b
It will take 1 hour and they will have 11 baskets
I need help with this problem! Must explain why.
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form? Y = 3 (x minus seven-halves) squared minus StartFraction 27 Over 4 EndFraction y = 2 (x minus 1) squared minus 11 y = 2 (x minus one-half) squared minus StartFraction 53 Over 4 EndFraction y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
[tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Step-by-step explanation:
Vertex form of equation : [tex]f (x) = a(x - h)^2 + k,[/tex]where (h, k) is the vertex of the parabola.
[tex]y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Hence, the vertex form of the equation is [tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Answer:
i got y=2(x-1/2)^2- 27/2 so the last one is right
Step-by-step explanation:
:)
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
sqrt30 -6^2 doesn't work
2.5 sqrt18 and 5 do work
A wholesaler requires a minimum of four items in each order from its retail customers the manager of one retail store is considering ordering a certain number of sofas X and a certain number of pillows that come in pairs why which graph represents the overall equation represent by the scenario appointment not apply to the scenario
Answer: Option D
Step-by-step explanation:
Answer:
✔ D.
Step-by-step explanation:
E2021
HELPPPPP PLEASEEEE!!!!
Which system of inequalities represents region Z?
Answer:
Hey there!
The two lines in this graph are: y=-1/5x+2, and y=3x-2
Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.
Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.
Thus, for area z, we have y<-1/5x+2, and y≥3x-2
Hope this helps :)
easy question i will mark braineliest
Answer:
0.67Step-by-step explanation:
[tex]5(y - 3.8) = 4.7(y - 4)[/tex]
Distribute 5 through the parentheses
[tex]5y - 19 = 4.7(y - 4)[/tex]
Distribute 4.7 through the parentheses
[tex]5y - 19 = 4.7y - 18.8[/tex]
Move ' 4.7 y ' to L.H.S and change it's sign
[tex]5y - 4.7y - 19 = - 18.8[/tex]
Move constant to R.H.S and change it's sign
[tex]5y - 4.7y = - 18.8 + 19[/tex]
Collect like terms
[tex]0.3y = - 18.8 + 19[/tex]
Calculate
[tex]0.3y = 0.2[/tex]
Divide both sides of the equation by 0.3
[tex] \frac{0.3y}{0.3} = \frac{0.2}{0.3} [/tex]
Calculate
[tex]y = 0.67[/tex]
Hope this helps...
Best regards!!
Answer:
[tex]y = 0.67[/tex] (To 2 dps)
y = 0.7 (To 1 dps)
y = 1 (To nearest whole no.)
Step-by-step explanation:
[tex]5(y-3.8) = 4.7 (y-4)[/tex]
Distribute the terms
[tex]5y - 19 = 4.7y-18.8[/tex]
Combining like terms
[tex]5y - 4.7y = -18.8+19[/tex]
Adding and subtracting
[tex]0.3y = 0.2[/tex]
Dividing both sides by 0.3
[tex]y = 0.2/0.3[/tex]
[tex]y = 0.67[/tex]
ASAP!!! PLEASE help me with this question!
Which equation correctly represents the line in slope-intercept form? A. y = -1/4x-6 B.y=1/4x-6 C.y=-4x+6 D.y=4x+6
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (8, - 4) ← 2 points on the line
m = [tex]\frac{-4+6}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
The line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = [tex]\frac{1}{4}[/tex] x - 6 → B
Bengus the expert blacksmith forged 32 swords from copper, twice as many swords from iron, and 19 swords from mythril. Estimate how many swords Bengus forged.
Answer: 115 swords
Step-by-step explanation:
He forged 32 swords from copper, 2*32 from iron and 19 from mythril. Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.
Hope it helps <3
Answer:
110
Step-by-step explanation:
no need
Which set of ordered pairs represents a function?
{(7,-2),(-8, -1),(-6,1), (-6, – 7)}
{(-4,1), (6,1),(7,-6), (7,0)}
{(2,-6), (1, -3), (-5,7),(1,0)}
{(-9,3), (-5,1), (7,-5), (4,3)}
The correct is:
[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]
The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].
In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.
In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]
In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]
The average of three numbers is 25. two of the numbers are 45 and 16. What is third one.
Answer:
14
Step-by-step explanation:
I attached a picture and I hope this helps ;) ❤❤❤
Answer:
The third number is 14
Step-by-step explanation:
To find the average of 3 numbers add the three numbers and divide by 3
Let x be the third number
( 45+16+x) /3 = 25
Multiply each side by 3
( 45+16+x) /3 *3 = 25*3
( 45+16+x) = 75
Combine like terms
61+x = 75
Subtract 61 from each side
61+x-61 = 75-61
x = 14
For cleaning the attic Jasmine was given $10.15. Now she has $23.43. How much money did she have before?
Answer:
13.28
Step-by-step explanation:
Take the total amount she has and subtract what she just earned
23.43 - 10.15
13.28
This is what she had before she started cleaning
Answer:
Step-by-step explanation:
23.43 - 10.15= 13.28 $
Decide which chi-square test (goodness-of fit, homogeneity, or independence) would be most appropriate for the given situation.
A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data.
Age Group
Under 25 25-45 Over 45 Total
Number of accidents in past 3 years 0 74 90 84 248
1 19 8 12 39
1 7 2 4 13
Total 100 100 100 300
A. Test for Homogeneity.
B. Test for Independence.
C. Test for Goodness-of-fit.
Answer:
C. Test for Goodness-of-fit.
Step-by-step explanation:
C. Test for Goodness-of-fit would be most appropriate for the given situation.
A. Test Of Homogeneity.
The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.
B. Test for Independence.
The chi square is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.
C. Test for Goodness-of-fit.
The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with their estimates and provided that one degree of freedom is deducted for each parameter estimated.
PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m30.35\text{ m}^30.35 m30, point, 35, start text, space, m, end text, cubed of fluffy material. What is the length of the pillow? Give an exact answer (do not round).
Complete question is;
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy
material. The Height is 0.5 m and the
Base is 1 m.
What is the length of the pillow?
Give an exact answer (do not round)
Answer:
length of Pillow = 1.4 m
Step-by-step explanation:
This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;
V = area of base x length = ½ × base × height × length
Thus;
Volume of Wedge = ½ × base × height × length
We are given;
base = 1 m
height = 0.5 m
Volume = 0.35m³
And we want to find the Length(L)
Thus;
½ × 0.5 × 1 × L = 0.35
L/4 = 0.35
Multiply both sides by 4 to give;
L = 0.35 × 4
L = 1.4 m
length of Pillow = 1.4 m
Answer:
1.4
Step-by-step explanation:
Khan
Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. How much will this loan cost Barry in interest.
Answer:
Barry has to pay back $1150
Step-by-step explanation:
We can set up an equation to help solve this problem
x is the amount he has to pay back
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Barry has to pay back $1150
If Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. Then Barry has to pay back $1150.
What is Equation?Two or more expressions with an equal sign is called as Equation.
We can set up an equation to help solve this problem
x is the amount he has to pay back.
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Hence, Barry has to pay back $1150.
To learn more on Equations click:
https://brainly.com/question/10413253
#SPJ5
5t - 3 = 3t - 5 : solve
Answer: -1
Step-by-step explanation:
[tex]5t-3=3t-5[/tex]
Add 3 to both sides.
[tex]5t=3t-2[/tex]
Subtract 3t from both sides.
[tex]2t=-2[/tex]
[tex]t=-1[/tex]
Hope this helps!
Answer: t=-1
Step-by-step explanation:
1) add 3 to both sides
2) subtract 3t from both sides
3) Divide both sides by 2
Please help ! Find the probability
Answer:
.32 or 32%
Step-by-step explanation:
The area of the circle is about 50.27
Given this you can use this to find the area of the triangle and find the precent of the circle that is shaded:
The area of the triangle is 16
you can divide 16 by 50.27 to see the precntage or propability for the answer
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a
centimeter.
Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = [tex]\frac{m}{V}[/tex] ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is 11.34g/cm³
From the question, the weight/mass of the lead ball is 326g
Substitute these values into equation (i) as follows;
11.34 = [tex]\frac{326}{V}[/tex]
V = [tex]\frac{326}{11.34}[/tex]
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [tex]\frac{4}{3} \pi r^3[/tex] [V = volume, r = radius]
V = 28.75cm³
=> 28.75 = [tex]\frac{4}{3} \pi r^3[/tex]
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth
The diagonals of kite KITE intersect at point P. If m
A. 34°
B. 46°
C. 68°
D. 92°
Answer:
The diagonal of kite intersect at the point p is C. 68°
What are the solutions of the equation (x+2)^2-2x(x+2)-15=0? Use u substitution to solve.
Answer:
3
Step-by-step explanation:
Answer: x = -5 and x = 3
Step-by-step explanation:
on edg
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line? y = 2x + 1 y = 2x + 3 y = 3x + 2 y = 3x + 5
Answer:
The answer is
y = 2x + 3Step-by-step explanation:
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
From the question the y intercept is 3
and the slope is 2
Substituting the values into the above equation
We have
y = 2x + 3Hope this helps you
The equation of a line that passes through [tex](0,3)[/tex] and a slope [tex]2[/tex] is [tex]y=2x+3[/tex].
The equation of a line that passes through a point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is:
[tex](y-y_1)=m(x-x_1)[/tex]
Here, the point is [tex](0,3)[/tex] and the [tex]slope[/tex] is [tex]2[/tex].
So, [tex]x_1=0, y_1=3[/tex] and [tex]m=2[/tex].
So, the equation of the line is
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-3)=2(x-0)[/tex]
[tex]y-3=2x-0[/tex]
[tex]y=2x+3[/tex]
So, option B is correct.
Learn more about equation of a line here:
https://brainly.com/question/19456910?referrer=searchResults
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020
Answer: 92
Step-by-step explanation:
Formula : Sum of first n numbers = Average x n
Given: Average score on first 6 tests= 84
A score on all 8 tests = 86
Then, Sum of first 6 numbers = 84 x 6 = 504
Sum of first 8 numbers = 86 x 8 = 688
Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)
= 688-504
=184
Average of last two numbers = (Sum of two last numbers )÷2
= 184÷2
= 92
Hence, the average of your last two test scores = 92.
An urn contains 5 white and 10 black balls. A fair die is rolled and that numberof balls are randomly chosen from the urn. What is the probability that all of theballs selected are white? What is the conditional probability that the die landed on3 if all the balls selected are white?
Step-by-step explanation:
[tex]A[/tex]- all of the chosen balls are white [tex]E_{i}-[/tex] result of the die roll is [tex]i, \quad i \in\{1,2,3,4,5,6\}[/tex]
Probabilities:
since the die is fair:
[tex] P\left(E_{i}\right)=\frac{1}{6} \quad \text { for } \quad i \in\{1,2,3,4,5,6\} [/tex]
If the die rolls [tex]i[/tex] we choose a combination of [tex]i[/tex] balls, among 10 black and five white balls, therefore
\[ \begin{array}{c}
P\left(A \mid E_{1}\right)=\frac{\left(\begin{array}{c} 5 \\
1 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 1 \end{array}\right)}=\frac{5}{15}=\frac{1}{3} \\ P\left(A \mid E_{2}\right)=\frac{\left(\begin{array}{c} 5 \\ 2 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 2
\end{array}\right)}=\frac{10}{105}=\frac{2}{21} \\
P\left(A \mid E_{3}\right)=\frac{\left(\begin{array}{c} 5 \\ 3
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 3
\end{array}\right)}=\frac{10}{455}=\frac{2}{91} \\
P\left(A \mid E_{4}\right)=\frac{\left(\begin{array}{c} 5 \\ 4
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 4
\end{array}\right)}=\frac{1}{273} \\
P\left(A \mid E_{5}\right)=\frac{\left(\begin{array}{c} 5 \\ 5
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 5
\end{array}\right)}=\frac{1}{3003} \\
P\left(A \mid E_{6}\right)=\frac{\left(\begin{array}{c} 5 \\ 6
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 6
\end{array}\right)}=0
\end{array} \]
PLEASE HELP Question 1(Multiple Choice Worth 4 points) (08.03)A system of equations is given below: y = –2x + 1 6x + 2y = 22 Which of the following steps could be used to solve by substitution? 6x + 2(−2x + 1) = 22 −2x + 1 = 6x + 2y 6(−2x + 1) + 2y = 22 6(y = −2x + 1) Question 2(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (10, −5) (5, 10) (10, 5) Question 3(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation H: y = −x + 2 Equation J: y = 3x − 4 Which of the following steps can be used to find the solution to the set of equations? −x = 3x − 4 −x +2 = 3x −x + 2 = 3x − 4 −x + 1 = 3x + 2 Question 4(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? No solution One solution Two solutions Infinite solutions Question 5(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. x + y = −3 y = 2x + 2 five over 3 comma 4 over 3 negative 5 over 3 comma negative 4 over 3 negative 3 over 5 comma negative 3 over 4 3 over 4 comma 3 over 5
Answer:
6x + 2(−2x + 1) = 22
Step-by-step explanation:
Answer: The answer is 6x + 2(−2x + 1) = 22
of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
an
ple 4:
Question
If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
Answer:
gain percent = 25%
Step-by-step explanation:
To solve the question given, we will follow the steps below:
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
But from the question;
"CP of 15 articles equals to the SP of 12 articles", this implies that
15 c.p = 12 s.p
s.p = 15c.p / 12
s.p = [tex]\frac{15 c.p}{12}[/tex] = [tex]\frac{5c.p}{4}[/tex]
s.p = [tex]\frac{5c.p}{4}[/tex]
substitute s.p = [tex]\frac{5c.p}{4}[/tex] into the formula
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
=[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex] × 100%
= [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex] × 100%
= [tex]\frac{c.p}{4}[/tex] ÷ c.p × 100%
= [tex]\frac{c.p}{4}[/tex] × [tex]\frac{1}{c.p}[/tex] × 100%
= [tex]\frac{1}{4}[/tex] × 100%
= 25 %
Helppppp plzzzz ❤️❤️❤️❤️I’m crying help with my math
Answer:
A
Step-by-step explanation:
I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEE AND DO NOT LOOK IT UP ON ANY SOURCE THANK YOU AND ILY
Answer:
Jesse
Step-by-step explanation:
Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.
Hope this helped! :)