HELP PLEASE! GIVING BRAINLIEST ANSWER. (TRIGONOMETRY)
What is the rate of change from x = 0 to x = pi over 2?
8 over pi
pi over 8
-8 over pi
-pi over 8
Answers
The correct option is A )[tex]\frac{8}{\pi }[/tex]
To find the rate of change of a function from x = 0 to x = \\frac{\\pi}{2}, we need to apply the concept of the average rate of change.
This is essentially the change in the function's value divided by the change in x. Assume the function we are analyzing is y = f(x).
Step-by-Step Solution:
Identify the interval: [tex][0, \frac{\pi}{2}].[/tex]Calculate the function values at the endpoints: f(0) and[tex]f{\frac{\pi}{2})[/tex].Calculate the average rate of change using the formula:Average Rate of Change =[tex]\frac{f(\frac{\pi}{2}) - f(0)}{\frac{\pi}{2} - 0}[/tex]
When x = 0, f( x ) = - 4,
When x = π / 2, f( x ) = 0
Average Rate of Change =[tex]\frac{0- (-4)}{\frac{\pi}{2} - 0}[/tex]
Average Rate of Change =[tex]\frac{8}{\pi }[/tex]
The correct option is A )[tex]\frac{8}{\pi }[/tex]
Related Questions
There are values of t so that the equation cos t= 5/3
Answers
impossible, the maximum value of either cos(t) or sin(t) is 1; look to the unit circle for proof
Urn A has balls numbered 1 through 6. Urn B has balls numbered 1 through 4. What is the probability that a 4 is drawn from A followed by a 2 from B?
Answers
This means that there are 6*4=24 possible outcomes, which could be listed as
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1)... (6, 3), (6, 4)},
where the first coordinates represent drawing from urn A, and the second coordinates, drawing from urn B.
(4, 2) is one of these 24, so the probability is 1/24
remark, this problem could also have been solved by the multiplication principle of the probabilities of separate events, that is 1/6 (probability of drawing 4 from Urn A) times 1/4 (probability of drawing 2 from B) = 1/24
Answer: 1/24
The probability that a 4 is drawn from A followed by a 2 from B is 1/24
Further explanationThe probability of an event is defined as the possibility of an event occurring against sample space.
[tex]\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }[/tex]
Permutation ( Arrangement )Permutation is the number of ways to arrange objects.
[tex]\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }[/tex]
Combination ( Selection )Combination is the number of ways to select objects.
[tex]\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }[/tex]
Let us tackle the problem.
Urn A has balls numbered 1 through 6 → Total = 6 ballsThe probability of choosing a 4 ( 1 ball ) from Urn A is:
[tex]P(A) = \boxed{\frac{1}{6}}[/tex]
Urn B has balls numbered 1 through 4 → Total = 4 ballsThe probability of choosing a 2 ( 1 ball ) from Urn B is:
[tex]P(B) = \boxed {\frac{1}{4}}[/tex]
The probability that a 4 is drawn from A followed by a 2 from B is
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
[tex]P(A \cap B) = \frac{1}{6} \times \frac{1}{4}[/tex]
[tex]P(A \cap B) = \boxed {\frac{1}{24}}[/tex]
Learn moreDifferent Birthdays : https://brainly.com/question/7567074Dependent or Independent Events : https://brainly.com/question/12029535Mutually exclusive : https://brainly.com/question/3464581Answer detailsGrade: High School
Subject: Mathematics
Chapter: Probability
Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation
Thompson Alberts purchased a pack of 12 pencils for $4.99. What is the unit price per pencil rounded to the nearest tenth of a cent?
Answers
divide total coast by number of pieces
4.99/12 = 0.415833
rounded to 0.42
42 cents each
$0.416
This is the correct answer for primavera
$4.99/12=0.4158 Rounded to the nearest tenth of a cent is $0.416
The lines 2x - 3y = 1 and 2x + 3y = 2 are intersecting. true or false
Answers
-3y = -2x + 1
y = 2/3x - 1/3...slope = 2/3, y int = -1/3
2x + 3y = 2
3y = -2x + 2
y = -2/3x + 2/3...slope = -2/3, y int = 2/3
different slopes, different y int's....means 1 solution...so yes, they intersect
TRUE
Answer:
the given statement is true.
Step-by-step explanation:
The given lines are
2x - 3y = 1 and 2x + 3y = 2
Write these equations in slope intercept form of a line y = mx +b
For the first equation
[tex]2x-3y=1\\\\3y=2x-1\\\\y=\frac{2}{3}x-\frac{1}{3}[/tex]
For the first equation
[tex]2x+3y=2\\\\3y=-2x+2\\\\y=-\frac{2}{3}x+\frac{2}{3}[/tex]
The slope and y-intercepts of first line are 2/3 and -1/3 respectively.
The slope and y-intercepts of second line are -2/3 and 2/3 respectively.
Since, the slopes and y-intercepts of these lines are different.
Hence, these lines are intersecting.
Therefore, the given statement is true.
75% of a number is 4.5 cm
Answers
Answer: 6 cm
Step-by-step explanation: 4.5 cm is 75/100
75/100=4.5/x
100*4.5=75*x
450=75x
divide both sides by 75
6=x
The number 4.5 is 75 percent of the number 6.
The given number is 4.5 cm.
Let 75% of x is 4.5 cm.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 75% of x=4.5
[tex]\frac{75}{100} \times x=4.5[/tex]
[tex]\frac{75x}{100}=4.5[/tex]
[tex]75x=4.5\times100[/tex]
[tex]75x=450[/tex]
[tex]x=\frac{450}{75}[/tex]
[tex]x=6[/tex]
Therefore, the number 4.5 is 75 percent of the number 6.
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"Your question is incomplete, probably the complete question/missing part is:"
75% of what number is 4.5 cm.
What is 2(x+6)=20 pls I need help
Answers
2x = 32
32/2x
X= 16
Distributive Property
2×x=2x
2×6=12
2x+12=20
Subtract 12 both sides.
2x=8
Divided them by 2
X=4
The radius of the earth is approximately 3960 miles find the approximate surface area to volume ratio of the earth
Answers
The following graph describes function 1, and the equation below it describes function 2:
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = −x2 + 2x − 15
Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)
Answers
Function 2 ⇒ [tex]- x^{2} +2x-15[/tex]
Both functions are shown in the graph below
As well as graphing, we can also find out the function with the highest maximum by using the formula to find the x-coordinate when the function is maximum/minimum
[tex]x=- \frac{b}{2a} [/tex]
Maximum vertex for function 1 is [tex]x=- \frac{8}{(2)(-1)} = \frac{-8}{-2} =4[/tex]
Maximum vertex for function 2 is [tex]x=- \frac{2}{(-2)(-1)}= \frac{-2}{-2}=1 [/tex]
Hence the function with the highest maximum is function 1
Answer:
The Function __1__ has the larger maximum.
Step-by-step explanation:
The given functions are
Function 1:
[tex]f(x)=-x^2+8x-15[/tex]
Function 2:
[tex]f(x)=-x^2+2x-15[/tex]
Both functions are downward parabola because the leading coefficient is negative. So, the vertex is the point of maxima.
If a function is [tex]f(x)=ax^2+bx+c[/tex], then its vertex is
[tex]Vertex=(\frac{-b}{2a}, f(\frac{-b}{2a}))[/tex]
The vertex of Function 1 is
[tex]Vertex=(\frac{-8}{2(-1)}, f(\frac{-8}{2(-1)}))[/tex]
[tex]Vertex=(4, f(4))[/tex]
The value of f(4) is
[tex]f(4)=-(4)^2+8(4)-15=1[/tex]
The vertex of Function 1 is (4,1). Therefore the maximum value of Function 1 is 1.
The vertex of Function 2 is
[tex]Vertex=(\frac{-2}{2(-1)}, f(\frac{-2}{2(-1)}))[/tex]
[tex]Vertex=(1, f(1))[/tex]
The value of f(1)is
[tex]f(1)=-(1)^2+2(1)-15=-14[/tex]
The vertex of Function 2 is (1,-14). Therefore the maximum value of Function 2 is -14.
Since 1>-14, therefore Function __1__ has the larger maximum.
Find the length of a line segment with endpoints of 19 and –39. A. –58 B. –20 C. 20 D. 58
Answers
length of a line segment is 58 units.
Answer:
Option D, 58
Step-by-step explanation:
Line segment having end points are 19 and -39
So total length of line segments having end points of 19 and (-39) = distance from origin to one end at (19) + distance of another end from origin
= 19 + 39
= 58
Option D, 58 is the answer.
Please help a brother out! Thank you!
Answers
they are saying x = 3 so you would use the middle equation
so -4x becomes -4(3)
-4 * 3 =-12
Quadrilateral ABCD is similiar to quadrilateral EFGH The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH
?
Answers
They are similar, so the sides of one of them and the other one are in proportion.
We have to find the proportion. Notice that the 12 feet side and the 18 feet side must be the one in common. 3 longest ones ... one is missing, then, two shortest ones ... two are missing, but they must share that one:
The ratio is the 18:12 or 3:2.
Now we can complete both quadrilaterals:
ABCD: 24, 16, 12, ?
EFGH: ?, ?, 18, 9
ABCD: 24, 16, 12, 6
EFGH: 36, 24, 18, 9
24 is the answer!!
Answer:
A.) 24 feet
Step-by-step explanation:
I got it correct on founders edtell!
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+5. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height
1)1.13 s; 27.5 ft
2)2.25 s; 5 ft
3)1.13 s; 25.25 ft
4)1.13 s; 65.75 ft
Answers
Answer: 1.13s;25.25ft you welcome
Step-by-step explanation:
I don't understand this at all please help me
Answers
4y-y +11 = 38
4y -y = 3y
3y + 11 = 38
3y = 27
y = 27/3 =9
y = 9
answer is 9
3x-4y=-5 y=4x-2 Is (1,2) a solution of the system?
Answers
3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5
2 = 4(1) - 2
2 = 4 - 2
2 = 2
Since both of these checks are true, then (1,2) is a solution to the system.
5(2x-8) i dont get how to do distributive prop on this
Answers
Which of the following is a parent function
Answers
A rectangle is 3 times as long as it is wide. The perimeter is 60cm. Find the dimensions of the rectangle.
Answers
length = 3x
2(x + 3x) = 60
4x = 60/2
4x = 30
x = 30/4
x = 7.5 cm ← width
length = 3x = 3 * 7.5 = 22.5 cm
A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?
Answers
now, let's rationalize the denominator.
[tex]\bf \cfrac{100}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{100\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{100\sqrt{2}}{2}\implies 50\sqrt{2}[/tex]
Help! question down below!
Answers
they would be similar since they have the same angles, but different length sides
they are different sizes
the sides are different lengths
congruent, means same size and shape
the only answer that applies is A
Solve by factoring: 8p2 - 64p = 0
Answers
Line GJ is tangent to point A at point G.
If AG = 9 and GJ = 12, find AJ.
Answers
AJ = square root (81 + 144)
AJ = square root (225)
AJ = 15
answer
15
Help a brother out here! Thank you!!!
Answers
7 blue cards
26 total cards
probability = 7/26
The pie store is having a 15% percent off sale on all of its pies. If the pie you want regularly costs $11 how much would you save with the discount?
Answers
We would have saved $1.65 on the pie
Analyze the diagram below and answer the question that follows.
Which of the following best describes triangle GFH?
A.
isosceles triangle
B.
acute triangle
C.
scalene triangle
D.
right triangle
Answers
The correct answer is C.
Hope this helps : )
All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that represents the price after only a 10% discount is: P(x) = x - 0.1x P(x) = 0.9x The function that gives the price, C, if only a $150 coupon is used is: C(x) = x - 150 Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon
Answers
We are given the functions:
P (x) = 0.9 x
C (x) = x – 150
We can generate two composition functions from the given two functions in the form of:
P [C (x)] and C [P (x)]
Since the problem states that we are to find for the final price after a 10% discount is followed by a $150 coupon then we should find for:
C [P (x)]
The value of C [P (x)] can obtained by plugging in the value of P (x) into x in the equation of C (x), therefore:
C [P (x)] = [0.9 x] – 150
C [P (x)] = 0.9 x – 150 (ANSWER)
Answer:
A On edge 2020!
Step-by-step explanation:
Have an amazing day :3
If c is a real number and if 2+i is a solution of the equation x^2-4x+c, what is the value of c
Answers
so if a+bi is a root then a-bi is also a root
if 2+i is a root then 2-i is also a root
so, the factored form of a quadratic equation with roots r1 and r2 is
(x-r1)(x-r2)
so
2+i and 2-i
(x-(2+i))(x-(2-i))
(x-2-i)(x-2+i)
expanding we get
x²-4x+5
so c=5
What is the volume of the sphere? Round the answer to the nearest cubic unit. Diameter: 22 cm
1) 507 cm^3
2) 1,394 cm^3
3) 5,575 cm^3
4) 16,725 cm^3
Answers
4/3pi11^3 and approximately simplify you will get 5,575 cm^3.
The volume of the Sphere is 5,575 cm^3.
What is the volume of the Sphere ?
The volume of the Sphere is the capacity it has. It is the space occupied by the sphere.
Formula used to find volume of the Sphere is :
V = 4/3 × π × r^3
Given : diameter = 22 cm
r = diameter/2
r = 11 cm
So ,
V = 4/3 × π × 11 ^3
⇒ 4/3 × π × 1331
⇒ 1.34 × 4179.34
V = 5575.28 cm^3
The nearest cubic unit is 5,575 cm^3.
Hence , the volume of the Sphere is 5,575 cm^3 .
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Use the functions a(x) = 3x + 10 and b(x) = 2x − 8 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (3 points) Part B: Find (a ⋅ b)(x). Show your work. (3 points) Part C: Find a[b(x)]. Show your work. (4 point
Answers
b(x) = 2x − 8
(a+b)(x)=(3x+10)+(2x-8)=5x+2
(a*b)(x)=(3x+10)(2x-8)=
6x^2-24x+20x-80=
6x^2-4x-80
a[b(x)]=3*b(x)+10=
=3*(2x-8)+10
=6x-24+10
=6x-14
Help!!!!! how do i slove this equation
Answers
If the correlation between two variables is .496, how much of the variance has not been accounted for
Answers
If the correlation between two variables is .496, it has 24.6 percent (24.6%) of the variance that has not been accounted for. Hence, correlation is a statistical technique that is used to measure and describe the strength and direction of the relationship between two variables and 24.6% has not been accounted for the two variables which is .496.
Final answer:
About 75.40% of the variance between two variables with a correlation coefficient of .496 is unaccounted for, as it is the complement of the coefficient of determination (24.60%) obtained by squaring the correlation coefficient.
Explanation:
To determine the amount of variance not accounted for by the correlation between two variables with a correlation coefficient of .496, we must use the coefficient of determination. The coefficient of determination is the square of the correlation coefficient (r₂), which represents the proportion of the variance for the dependent variable that's explained by an independent variable in a regression model.
First, we calculate r₂:
.4962 = .246016, or approximately 24.60%. This means that about 24.60% of the variance in the dependent variable is explained by the independent variable.
Next, we find the unexplained variance by subtracting r₂ from 1:
1 - .246016 = .753984, or approximately 75.40%. Therefore, 75.40% of the variance has not been accounted for by the correlation.