Answers
Answer:
a) True
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]
Step-by-step explanation:
Step(i):-
Given that the definite integration
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha[/tex]
we know that the trigonometric formula
sin²∝+cos²∝ = 1
cos²∝ = 1-sin²∝
step(ii):-
Now the integration
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha = \int\limits^\pi _0 {(\sqrt{cos^{2} \alpha } } \, )d\alpha[/tex]
= [tex]\int\limits^\pi _0 {cos\alpha } \, dx[/tex]
Now, Integrating
[tex]= ( sin\alpha )_{0} ^{\pi }[/tex]
= sin π - sin 0
= 0-0
= 0
Final answer:-
[tex]\int\limits^\pi _ {0} \,(\sqrt{1-sin^{2}\alpha } )d\alpha =0[/tex]
Related Questions
At Captain's Video Emporium, video club members can play PS5 games for $5 per night. The club also charges a $25.00 membership fee. Slope = __5 per night___________ Y-intercept = _____________ Equation _____________
Answers
Answer:
It's $499, unless you don't care about having a disc drive, then it's $399. That simplicity was by design, said Sony ...
he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).
Answers
Answer:
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
Step-by-step explanation:
Step(i):-
Given that National Center for Health Statistics interviewed 5409 adult smokers in 2015
Sample size 'n' = 5409
Given that 2666 of them said they had tried to quit smoking during the past year.
proportion
[tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]
Q = 1 - P = 1 - 0.49288 = 0.50712
Step(ii):-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]
[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]
(0.49288 - 0.01332 , 0.49288+0.01332)
(0.47956 , 0.50620 )
Final answer:-
95% confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47956 ,0.50620)
−2(5d−9f)+7f−10(−9f−7d)
Answers
Answer:
38
Step-by-step explanation:
Apples cost $1.99 per pound.
How much do 3.25 pounds of apples cost?
Answers
Answer:
$6.47
Step-by-step explanation:
set up a ratio
[tex]\frac{1.99}{1} =\frac{x}{3.25}[/tex]
cross multiply
6.47=x
Use the arc length formula and the given information to find r.
s = 16 cm, 0 = 48°; r = ?
Answers
Answer:
i converted θ to radians, then put that and the length of the arc into the formula shown.
What is the measure of ZBAC?
Answers
Step-by-step explanation:
50°+50°+θ=180°
θ=180°-100°
θ=80°
Answer:
80 or b....................................
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
Answers
The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:
(2, 0), (6, 4), (8, 12), (9, 32)
(2, 2), (6, 4), (8, 10), (9, 28)
(6, 4), (8, 10), (9, 28)
(2, 2), (10, 8), (16, 20), (18, 56)
Answers
Answer:
B. (2, 2), (6, 4), (8, 10), (9, 28)
Step-by-step explanation:
I hope this helped! :D
Using the Pythagorean theorem: a right triangle has a side that is 24 in and one that is 25in (25 is the diagonal side) what is the length of the third side
Answers
Answer:
Third Side (Perpendicular side) = 7 inch
Step-by-step explanation:
Given:
First side (Base) = 24 inch
Second side (Diagonal/Hypotenuse side) = 25 inch
Find:
Third Side (Perpendicular side)
Computation:
Using Pythagorean theorem;
Perpendicular side = √Hypotenuse side² - Base²
Perpendicular side = √25² - 24²
Perpendicular side = √625 - 576
Perpendicular side = √49
Perpendicular side = 7 inch
Third Side (Perpendicular side) = 7 inch
5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd
Answers
A sales representative notes that in a particular week he drove 1350 km and used 120 L of petrol. His sales patre
(in another vehicle) drove 940 km and used 88 L of petrol. Express their petrol usages as a rate in the form
kilometres: 100 L
Answers
9514 1404 393
Answer:
1125 km/(100 L)1068.2 km/(100 L)Step-by-step explanation:
If u represents the desired usage rate, then the proportion is ...
km/liters = ...
u/100 = 1350/120
u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle
and ...
u/100 = 940/88
u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle
Hi help no link pls and ty
Answers
Answer:
Unit
Step-by-step explanation:
Pedro throws a ball upward at a rate of 20 meters per
second from an initial height of 2 meters. The height
of the ball above the ground can be approximated by
h = -512 + 20t + 2, where t represents the amount of time,
in seconds, since the ball has been released.
What is the maximum height that the ball reaches?
Answers
Answer:
The maximum height that the ball reaches is of 3.96 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height after t seconds is given by:
[tex]h(t) = -51t^2 + 20t + 2[/tex]
Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]
What is the maximum height that the ball reaches?
This is [tex]h_v[/tex].
[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]
The maximum height that the ball reaches is of 3.96 meters.
Find the surface area of the prism.
Answers
Answer:
The surface area of the prism is 386m²
Step-by-step explanation:
The surface area of a box is equal to the sum of the areas of each side of the box.
[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (width) \times (height)[/tex]
Substitute the values of the length l=15, the width w=7, and the height h=4 into the formula.
[tex]2 \times 15 \times 7 + 2 \times 15 \times 4 + 2 \times 7 \times 4[/tex]
Simplify each term.
[tex]210 + 120 + 56[/tex]
Simplify by adding numbers.
[tex]386m ^{2} [/tex]
Hence, the Surface area of this prism is 386m².
Can you figure out the missing number
Answers
Answer:
probably 6 thats one of the missing ones
Mcm de 12 21 63
Encontrar el resultado
Answers
Answer:
Lo mcm es 252.
Step-by-step explanation:
El objetivo de esta queston es encontrar el mínimo multiplo comun de estes tres numeros.
Para eso, factoramos estes numeros en valores primos, e despues multiplicamos estos factores.
12 21 63
12 - 21 - 63|2
6 - 21 - 63|2
3 - 21 - 63|3
1 - 7 - 21|3
1 - 7 - 7|7
1 - 1 - 1
2*2*3*3*7 = 252
Lo mcm es 252.
Find the value of x.
Answers
explanation: x+(x-20)+(2x+10)+(x+40)=360
5x+30=360
5x=330
x=66
Help anyone? Math is not my strong suit
Answers
Answer:
the 3rd one
Step-by-step explanation:
Answer:
it's the 7 one
Step-by-step explanation:
math has patterns if you follow the patterns you can see the symbol and the 7 look alike. stuff like this works for me a lot but I don't know f it'll work this time. If it doesn't I'm sorry I tried.
A regression would be appropriate for which of the following types of data settings A. Estimate the amount hot dogs sales for the Superbowl game in Saint's stadium based on a sample of the hot dog stands. B. Estimate the increase in lung cancer for smokers vs. non-smokers C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed D. All of the above
Answers
Answer:
C. Predicts someone's blood alcohol level from the number of whiskey drinks they consumed.
Step-by-step explanation:
In Statistics, classification problems are differentiated from estimation problems because classification problems typically requires that the output attribute be categorical while estimation problems require that the output attribute is numerical. In an estimation problem, the output variable has a continuous or real value, such as predicting the size, area, weight, age or even the cost of an item.
A Classification problem work with the concept of creating a succinct model such as decision trees, Naive Bayes, random forest, logistic regression, etc, which is capable of predicting from the attribute (observed) variables given; values of the dependent attribute, which is always categorical.
In order to predict a dichotomous variable from a given data set comprising of continuous or dichotomous variables, a logistic regression can be used.
Mathematically, it is given by the expression;
Logistic regression [tex] y [/tex] with [tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex]
Where;
y represents the dichotomous dependent variable.
[tex] x_{1} [/tex], [tex] x_{2} [/tex]........[tex] x_{n} [/tex] represents the predictable variables, which are categorical in nature such as alive or dead, win or lose, sick or healthy, pass or fail, etc.
Hence, a regression would be appropriate for predicting someone's blood alcohol level from the number of whiskey drinks they consumed.
Does anyone know the answer to this one ???
What number divided by −3 gives 12 as the result
Answers
Answer: -36
Step-by-step explanation: a negative and a negative give a positive so -36/-3=12
(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)
Please help please help please and will mark branliest
Answers
Answer:
m=w+6
Step-by-step explanation:
Use 2 points to find the slope, which is 1.
The y intercept is 6
1. You had $ 1 million, but then you spent $999 and then $22.222. How much
money do you have left?
Answers
ANSWER:
Look at this picture that will explain everything.
. Look at the figure. In degrees, what
is the angle measure of the shaded
part?
Answers
Answer:
80%
Step-by-step explanation:
PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE
Answers
Answer:
C
Step-by-step explanation:
The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.
The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.
The section that is both under the dotted line and above the solid line is C.
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.
[Not drawn to scale]
54 square feet
67.5 square feet
81 square feet
85.5 square feet
Answers
Answer:
The answer would be 81, or C
Step-by-step explanation:
youre welcome, have a great day :D!!
Answer:
81 or c
Step-by-step explanation:
Which two shapes are equivalent fractions?
Answers
Answer:
B. 1 and 3
Step-by-step explanation:
What is the approximate area of the circle shown below
Answers
Answer:
D. 154
Step-by-step explanation:
Formula
pi×r^2
r=diameter / 2
14/2=r=7
pi×7^2=154
hey can I get the answer key for this I don't understand
Answers
Answer: i dont have the answer key but i did answer them for you
Step-by-step explanation:
Answer:
....
Step-by-step explanation:
1.weights
2.coach
3.Olympics
4.stadium
5.finish line
6.gold medal
7.swimming pool
8.team
9.first place
21.starting line
11.score
12.medal
13.athlete
14.trophies
A saleswoman is paid $15 per hour and $7 for each sale she makes. She wants to earn more than $146 in an 6-hour work period.
Which inequality represents the number of sales, x, the saleswoman must make in an 8-hour period to earn more than $146?
Answers
Answer:
43
Step-by-step explanation:
A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. (PLEASE HELP)
Answers
Answer:
Wait can you re expain in the comments
Step-by-step explanation:
