Answer:
H0 : μYellow = μGreen
H1 : μYellow < μGreen
Step-by-step explanation:
Let :
Yellow paper = μYellow
Green paper = μGreen
To test the hypothesis :
The null hypothesis is will state that there is no difference in mean of anxiety scores obtained for test taken of yellow and green papers
H0 : μYellow = μGreen.
The alternative hypothesis is the opposite of the null and it is to the left, where we want to test if the anxiety score is lower when take on a yellow paper
H1 : μYellow < μGreen
Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1
Answer:
[tex]\displaystyle AL = 2sinh(10)[/tex]
General Formulas and Concepts:
Pre-Calculus
Hyperbolic FunctionsCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Exponential Differentiation
Integration
IntegralsIntegration Constant CDefinite IntegralsParametric Integration
Vector Value Functions
Vector IntegrationArc Length Formula [Vector]: [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >[/tex]
Interval [0, 1]
Step 2: Find Arclength
Rewrite vector value function: [tex]\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k[/tex]Substitute in variables [Arc Length Formula - Vector]: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt[/tex][Integrand] Differentiate [Respective Differentiation Rules]: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt[/tex][Integrand] Simplify: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt[/tex][Integral] Evaluate: [tex]\displaystyle AL = 2sinh(10)[/tex]Topic: AP Calculus BC (Calculus I + II)
Unit: Vector Value Functions
Book: College Calculus 10e
How many ways can four marbles be chosen from a set of five marbles?
Answer:
120
Step-by-step explanation:
5x4x3x2x1=120
help me please. who ever answers gets brainliest
Answer:
32
Step-by-step explanation:
(4x6)/2+(2x2)/2+2x2+(2x6)/2
factorise: 30x^5+15x²y²+xy
Answer:
your answer calculated would be: x(30x^4 + 15xy^2 + y)
Step-by-step explanation:
i used math-way it's a really useful online calculator
Samuel baked 81 cakes how many more cake does Samuel have to bake to have 123 cakes
Answer:
42 cakes
Step-by-step explanation:
123 - 81 = 42
.....
Samuel needs to bake 42 more cakes to have a total of 123 cakes.
To find out how many more cakes Samuel needs to bake to have a total of 123 cakes, we subtract the number of cakes he already baked from the desired total.
Total desired cakes: 123
Cakes already baked: 81
To find the remaining cakes, we subtract the number of cakes already baked from the desired total:
123 - 81 = 42
Therefore, Samuel needs to bake 42 more cakes to have a total of 123 cakes.
To know more about cakes , here
https://brainly.com/question/30083703
#SPJ2
Solve for x
6x + 11= - (6x + 5)
Answer:
x = -4/3
Step-by-step explanation:
6x + 11 = -6x - 5
12x = -16
x = -4/3
Answer:
x = -4/3
Step-by-step explanation:
6x + 11= - (6x + 5)
Distribute the minus sign
6x+11 = -6x-5
Add 6x to each side
6x+11 +6x = -6x-5+6x
12x+11 = -5
Subtract 11 from each side
12x+11-11 = -5-11
12x = -16
Divide by 12
12x/12 = -16/12
x = -4/3
For an ordered pair left parenthesis x comma y right parenthesis in a relation, the x element represents the
Answer:
the x éléments représente the domain
x represents the value on the x-axis and the coordinate is also known as abscissa.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
For an ordered pair left parenthesis x comma y right parenthesis in a relation that is (x, y).
Here x represents the value on the x-axis and the coordinate is also known as abscissa.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
Answer this question that is given
Answer:
See explanation
Step-by-step explanation:
2) (10+4) x 2 = 28
3) (13 + 6) x 2 = 38
4) (8+4) x 2 = 24
5) (11+8) x 2 = 38
Answered by Gauthmath
Dos coches están separados por una distancia de 12000 m salen al encuentro uno del otro, el primero con una aceleración de 5,6 m/s2 el segundo con 10,4 m/s2 , calcula el tiempo y la distancia de encuentro.
Un bus parte del reposo con una aceleración de 3,2 m/s2 y en ese mismo momento a 2 km de distancia, sale otro en sentido opuesto, también partiendo del reposo pero con una aceleración de 6,5 m/s2. Calcular la distancia y el momento de encuentro.
Dos vehículos separados por 1300 m parten al encuentro en el instante t=0. El primero lo hace con una velocidad inicial constante de 15 km/h. El segundo parte desde el reposo y con una aceleración de 1,2 m/s2. ¿A qué distancia de la salida del primer vehículo se encuentran?
Un automóvil se desplaza por una carretera que es paralela a la vía de un metrotren. El automóvil se detiene ante un semáforo que está con luz roja en el mismo instante que pasa un metrotren con una rapidez constante de 14 [m/s]. El automóvil permanece detenido durante 8 s y luego parte con una aceleración constante de 2,5 [m/s2 ]. Determine:
a)El tiempo que emplea el automóvil en alcanzar al metrotren, medido desde el instante en que se detuvo ante el semáforo.
Un micro parte del reposo y acelera a razón de 1,4 m/s2 . En este instante un pasajero que desea abordarlo, se encuentra a 12 [m] por detrás de la puerta y corre con una velocidad constante de 5 m/s.
a) Determinar si el pasajero alcanza o no al micro
Salva mi trimestre
Answer:
la respuesta es la primera ( a )
Step-by-step explanation:
What are the measures of Angles a,b, and c? show your work and explain your answers.
Answer:
a=35
b=55
c=110
Step-by-step explanation:
a=35
Opposite angles which are non-adjacent angles formed by two intersecting lines are equal
b+35+90=180 sum of interior angle of a triangle equal to 180
b=180-125
=55
c+70=180 Angles on a straight line add up to 180°
c=180-70
=110
The product of two positive integer numbers is 70 and the sum of the same two numbers is 17. Find the
numbers.
Answer:
7 and 10
Step-by-step explanation:
7 * 10 = 70
7 + 10 = 17
Answer:
10 and 7
Step-by-step explanation:
call them a and b, respectively
so a*b=70 -> b=70/a
a+b=17 ->a+70/a=17 ->a=10 b =7
I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answer:
Both are true
Step-by-step explanation:
Both are true
Geometry work due tonight worth 50 points!!!!
Answer:
75
Step-by-step explanation:
All of the angles within the triangle must add up to 180 degrees. So, angle 2 =50
The angles 4,2,5 also equal 180 because they are on the blue line. Since angle 2=50 and angle 5= 55 angle 4 must be 75 which is needed to add up to 180.
Answer:
Angle 4 is 75°
b represent angle 2
d represent angle 4
70+60+b=180
130+b=180
b=50
55+50+d=180
105+d=180
d=75
Which is the answer choice to this question?
Answer:
D
Step-by-step explanation:
Graph it
The following sample of weights was taken from 8 cookies off the assembly line. Construct the 95% confidence interval for the population variance for all cookies that come off the assembly line. Round your answers to two decimal places.
9.6,10.2,10.3,9.2,9.5,10.1,9.2,9.4
Answer:
what are you asking
Step-by-step explanation:
|x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x
Answer:
jo pahle wale X hai na na X + x plus 1 unhen Yad Karke answer 1 aaega FIR X + 2 =_= + 3 X + 3 yah answer Aaya 1 or 2 X + ka ok
Step-by-step explanation:
FIR hai x+ x and ++ 2021 x
2021x
FIR + Kannan donon ko x
ans
x - 3 X
x - 4042
yah answer aayega ine donon ka the solve this question ok friend
HURRY PLEASE!!!!!!
Line AB has a slop of 1/2
What would the slope of line CD have to be if we knew CD was perpendicular to AB?
2
-2
1/2
-1/2
Answer:
-2
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals
Take the slope of AB = 1/2
-1/(1/2)
-1 * 2/1
-2
The slope of a line perpendicular is -2
What is the distance between the following points?
Will give brainliest
Answer:
√65
Step-by-step explanation:
(-6,4) (-5,-4)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-6)]² + (-4 - 4)²
√(1)² + (-8)²
√1 + 64
√65
The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .
I Will Mark Brainliest
Answer:
21
Step-by-step explanation:
All three sides are equal
2x-7 = x+y-9 = y+5
Using the last two
x+y-9 = y+5
Subtract y from each side
x+y-9-y = y+5-y
x-9 = 5
Add 9 to each side
x -9+9 = 5+9
x=14
We know the side length is
2x-7
2(14) -7
28-7
21
The side length is 21
Surface Area of cones
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
9514 1404 393
Answer:
64.1 ft²
Step-by-step explanation:
The area of the cone is given by ...
A = πr(r +h) . . . . for radius r and slant height h
A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²
Just answer the questions please
Answer:
1)( y= 0.12 * x ) y(dependent) , x(independent) 2) x=150 : y=18 / x=300 : y=36 / x=450 : y=54 / x=600 : y=72 / x=750 : y=90 / x=900 : y=108 3) 300+750+1050=2100 pound
2100*0.12=252 pound food they need to eat in each day
252*7=1764 pound in each month
What are the first and third quartiles for the following data set?
12, 15, 18, 16, 14, 9, 12, 21
A 9 and 21
C 12 and 17
B 12 and 16
D 15 and 17
Answer:
A
Step-by-step explanation:
I guess that is it may be
Find the value of the variable y that results in congruent triangles
Answer:
y = 5
Step-by-step explanation:
[tex]7y-10=25\\7y=35\\y=5[/tex]
Consider possible daily uses for the Pythagorean Theorem. For what types of careers would knowledge of this theorem be useful or necessary? For each career, include an example of a use for a2 + b2 = c2.
For engineering, it would be very useful to know Pythagorean theorem. You can use it to measure the tension in each ropes.
The length of the hypotenuse is??
Answer:
[tex]x = 14.31[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
let the Hypotenuse be x
[tex] {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31[/tex]
Answer: 14.32
Step-by-step explanation:
To find the length of the hypotenuse, we need to use the Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
Since we are given the legs, we can plug them in to find c.
[tex]6^2+13^2=c^2[/tex] [exponent]
[tex]36+169=c^2[/tex] [add]
[tex]205=c^2[/tex] [square root both sides]
[tex]c=\sqrt{205}[/tex]
[tex]c=14.32[/tex]
The hypotenuse is approximately 14.32.
What is the area of the trapezoid?
Answer:
A=a+b
2
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Solve for x. Round to the nearest tenth, if necessary.
S
540
R
2.3
X
O
Please help
Answer:
[tex]\boxed {\boxed {\sf x \approx 1.9}}[/tex]
Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentExamine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.
[tex]sin \theta = \frac {opposite}{hypotenuse}[/tex]
θ= 54opposite= x hypotenuse = 2.3[tex]sin (54)= \frac{ x}{2.3}[/tex]
We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3
[tex]2.3* sin (54)= \frac{x}{2.3}*2.3[/tex]
[tex]2.3* sin (54)=x[/tex]
[tex]2.3*0.8090169944=x[/tex]
[tex]1.860739087 =x[/tex]
Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.
[tex]1.9 \approx x[/tex]
x is approximately 1.9
Which of the following are parallel to the line 2x+ 4y=16
Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben
Answer:
Ben traveled 93.75% of his usual distance.
Step-by-step explanation:
Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:
80 = 100
75 = X
75 x 100/80 = X
93.75 = X
Therefore, Ben traveled 93.75% of his usual distance.
Please help me solve for this don't report I did NOT ignore the Honor rule
Answer:
x = 25
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
150 = 4x+50
Subtract 50 from each side
150-50 = 4x+50-50
100 = 4x
Divide by 4
100/4 = 4x/4
25 = x
