The integral of 2sin(e)sin(20e) with respect to e, from 0 to -7/3, is approximately 0.28.
To evaluate the integral, we can use integration techniques. The integral of a product of two trigonometric functions can often be evaluated using trigonometric identities or integration by parts. However, the given integral does not have a simple closed-form solution.
We can approximate the value of the integral using numerical methods, such as numerical integration or a computer algebra system. By using these methods, we find that the integral is approximately 0.28.
Therefore, the correct answer is 0.28.
Learn more about integral here : brainly.com/question/31433890
#SPJ11
Can you help me please and thank yoh
Answer:
60, 3, 4, 150
Step-by-step explanation:
The top row you count by 1
On the second row you count by 30
AHHH what does x equal in this equation?
a: x=5
b: x=3
c: x=8
Answer:
c: x = 8
Step-by-step explanation:
To start isolating the variable, add 3 to both sides. This leaves you with x/2 = 4. To get rid of the fraction, multiply both sides by two. This gives you x = 8.
Calculate height of lighthouse pls :) thx
The height of lighthouse is 72.54
Given,
In the question:
To see the figure:
To find the height of lighthouse.
Now, According to the question:
In Triangle ABD
tan 20° = \(\frac{h}{20 + x}\)
0.36 = \(\frac{h}{20 + x}\)
=> (20 + x)0.36 = h
=> 0.72 + 0.36x = h
=> x = \(\frac{h - 72}{0.36}\) .....(1)
In Triangle ABC
tan 34° = h/x
=> 0.67 = \(\frac{h}{\frac{h-72}{0.36} }\)
=> 0.67 = 0.36/h - 72
=> 0.67 (h - 72) = 0.36
=> h - 72 = 0.54
=> h = 0.54 + 72
=> h = 72.54
Hence, The height of lighthouse is 72.54
Learn more about Triangles at:
https://brainly.com/question/26093510
#SPJ1
Can anyone ples help meh
Answer:
Step-by-step explanation:
What do u need help with? I might be able to help you out :)
Find the expected value of the winnings
from a game that has the following payout
probability distribution:
Payout ($) 2 4 6 8 10
Probability 0.64 0.18 0.12 0.04 0.02
Expected Value = [?]
Round to the nearest hundredth.
The expected value of the winnings from this game is $3.24.
To find the expected value of the winnings, we multiply each payout by its corresponding probability and then sum up the results. Let's calculate it step by step:
Payout ($) Probability Payout x Probability
2 0.64 1.28
4 0.18 0.72
6 0.12 0.72
8 0.04 0.32
10 0.02 0.20
Now, let's sum up the values in the "Payout x Probability" column:
1.28 + 0.72 + 0.72 + 0.32 + 0.20 = 3.24
Therefore, the expected value of the winnings from this game is $3.24.
for such more question on expected value
https://brainly.com/question/15858152
#SPJ8
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = sin(xy), (8,0)
The maximum rate of change of the function f at (8,0) is 8 and the direction is ĵ.
What is function?
In mathematics, a function can be defined as a relation between a set of inputs having one output each. In simple manner, a function is a relationship between inputs where each input is related to exactly one output. In every function there has a domain and codomain or range.
Given function is f(x, y) = sin(xy)
The maximum rate of change f(x, y) occurs in the direction of gradient of the function f which can be estimated as follows:
∇f(x, y)=[ ∂/∂x f(x, y)î + ∂/∂y f(x, y)ĵ]
∇f(x, y)=[ ∂/∂x (sinxy)î + ∂/∂y (sinxy) ĵ] -------(1)
The partial derivative
∂/∂x (sinxy)= (cos xy) ∂/∂x(xy)
= y cos (xy)
and the partial derivative
∂/∂x (sinxy)= (cos xy) ∂/∂y(xy)
= x cos (xy)
putting these values in equation (1) we get,
∇f(x, y)=[ y cos(xy)î + x cos(xy) ĵ]
∇f(8, 0)=[ 0 + 8 ĵ] [ since cos 0= 1]
Now,
| ∇f(8, 0) | = | 0 + 8 ĵ |
= \(\sqrt{(0^{2} + 8^{2}) }\)
= 8
Hence, the maximum rate of change of the function f at (8,0) is 8 and the direction is ĵ.
To know more about function
https://brainly.com/question/22340031
#SPJ4
the function that passes through the points (24, 28) and (8,8)
Answer:
\(y=1.25x-2\)
Step-by-step explanation:
The function I used was a linear function (\(y=mx+b\)). I found the slope and y-intercept by going to my calculator and doing these steps:
1. Turn on the calculator
2. Press the STAT button
3. Select Edit . . .
And the calculator will show an empty data table. If there are already numbers in the data table:
1. Click STAT again
2. Select ClrList
3. Press 2nd and number 1
4. Select the comma, it's above 7
5. Press 2nd and number 2
6. Hit enter
Finally, after entering the numbers into the data table in their according spots, you then:
1. Press STAT
2. Go to CALC and Select LinReg (ax+b)
3. And hit enter 5 times, and you'll get your answer
y = -2
m = 1.25
HELP ASAP
simplify the expression and combine like terms. 3(x+1)+8+4x
A.7x+11
B.7x+9
C.5x+11
D.18x
Answer:
A. 7x+11
Step-by-step explanation:
3x+ 3+ 8+ 4x
7x+ 11
Your answer would be answer choice A. 7x+11
Jerome bought a sweater that was on sale for 20 percent off. Jerome paid $25.10 for the sweater, including sales tax of 8.25 percent. Write and solve an equation that can be used to find the original price of the sweater. And How much money did jerome save by buying the sweater on sale?
Answer: The picture is attached with the answer and the explanation.
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
3x + y = 10
y = x – 2
A.
(4, 2)
B.
(5, 3)
C.
(3, 1)
D.
(2, 0)
Answer:
x=3
y=1
Step-by-step explanation:
C
What’s the he answer to this question?plz help
Answer:
Um I don’t know
Step-by-step explanation:
Jared has ice cream so eats it then his mom puts him to
(a) A = = (b) A = 2 2 4 1 -2 -2 -7] -4
By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively
To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.
Learn more about matrices here
https://brainly.com/question/30646566?referrer=searchResults
#SPJ11
The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.
Given the following equation answer each question below.
Is the following a growth or decay?
What is the domain?
What is the range?
What is the y-intercept? (enter answer as a point)
What is the asymptote? (enter answer as an equation)
Answer:
f(x)=
Step-by-step explanation:
An ordered pair is a(n) ________ of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.
When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.
Learn more about ordered pair at https://brainly.com/question/29427152
#SPJ11
its all in the picture v
Answer:
lynns is correct
Step-by-step explanation:
hduydgdgdududuegegdhdudggrhr
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 23\dfrac2332start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any.
Answer:
\(8 \pi\)
Step-by-step explanation:
The computation of the volume of water remaining is shown below:
The volume of the cone is
\(\pi r^2 \frac{h}{3}\\\\\pi \times 3^2 \times \frac{8}{3} \\\\\frac{72}{3} \pi \\\\24 \pi\)
Now since it is two-third so the remaining is one -third
\(= 24 \pi \times \frac{1}{3}\)
\(= 8 \pi\)
hence, the volume of water remaining is \(8 \pi\)
while logistic regression and classification and regression trees (cart) have the same end goal, each model approaches the goal in a different way. discuss the differences in the two models. provide a specific example of a situation where employing a cart model would be preferable to a logistic regression model. explain what makes the cart model superior in your example.
Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.
Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
What is the length of the hypotenuse in the right
triangle?
Square root 12,593 cm
60 cm
Square root 14,225 cm
65 cm
Answer:
About 50.92
Step-by-step explanation:
What is the volume of c in the equation -3/2(x+4)=9-4x
The equation is true for any value of "c". We can't solve for "c" as it will cancel out during the simplification process.
To find the volume of "c" in the equation -3/2(x+4)=9-4x, we first need to isolate the variable "c" on one side of the equation.
Starting with the given equation:
-3/2(x+4)=9-4x
First, distribute the -3/2 to the term in the parentheses:
-3/2 × x - 3/2 × 4 = 9 - 4x
Simplify by multiplying:
-3/2x - 6 = 9 - 4x
Next, add 4x to both sides to get all the x terms on one side of the equation:
-3/2x + 4x - 6 = 9
Simplify by combining like terms:
5/2x - 6 = 9
Add 6 to both sides:
5/2x = 15
Finally, divide both sides by 5/2 to isolate the variable "x":
x = 6
Now we have found the value of "x". To find the value of "c", we can substitute this value of "x" back into the original equation and solve for "c":
-3/2(x+4)=9-4x
-3/2(6+4)=9-4(6)
-3/2(10)=9-24
-15 = -15
for such more question on volume
https://brainly.com/question/15006940
#SPJ11
researchers pre-establish the rate of false rejection of the null hypothesis prior to conducting any testing for significance T/F
The given statement of researchers pre-establish the rate of false rejection of the null hypothesis prior to conducting any testing for significance is False.
The rate of false rejection of the null hypothesis prior to conducting any testing for significance is called the level of significance or alpha level.
Researchers typically establish the alpha level before conducting a significance test.
And it represents the probability of rejecting the null hypothesis when it is actually true.
The most commonly used alpha level is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is true.
However, the alpha level is not pre-established by researchers for all tests.
In some cases, researchers may use a different alpha level based on the nature of the study, the research question, or other factors.
Additionally, the alpha level can be adjusted during the analysis to control for the overall rate of false positives in a study.
Such as when conducting multiple hypothesis tests.
Learn more about null hypothesis here
brainly.com/question/13947717
#SPJ4
someone help me asap
Answer:
Step-by-step explanation:
Use the solution method from this example to find a basis for the given subspace. S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]} Give the dimension of the basis. v
Answer:
Step-by-step explanation:
The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.
To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:
[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]
R2 - 3R1 -> R2
R3 -> R3 + 2R1
[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]
-1/2R2 -> R2
[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]
R3 - R2 -> R3
[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]
We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:
[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]
Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.
Visit here to learn more about subspace:
brainly.com/question/31691975
#SPJ11
Together dante and mia have a total of 350 pennies in their piggy banks.after dante lost 1/2 of his pennies and mia lost 1/3 of her pennies they both had an equal number of pennies.altogether how many pennies did they lose
Dante and Mia lost a total of 100 + 50 = 150 pennies.
Let's denote the number of pennies Dante initially had as "D" and the number of pennies Mia initially had as "M." According to the given information, we know that D + M = 350.
After Dante lost half of his pennies, he would have (1/2)D pennies remaining, and after Mia lost one-third of her pennies, she would have (2/3)M pennies remaining. It is stated that they both had an equal number of pennies after these losses.
Therefore, we can set up the following equation:
(1/2)D = (2/3)M
To simplify this equation, we can multiply both sides by 6 to eliminate the fractions:
3D = 4M
Now we have a system of equations:
D + M = 350
3D = 4M
We can solve this system to find the values of D and M. Multiplying the first equation by 4, we get:
4D + 4M = 1400
Substituting 3D for 4M from the second equation, we have:
4D + 3D = 1400
7D = 1400
D = 200
Substituting D = 200 back into the first equation, we find:
200 + M = 350
M = 150
So, Dante initially had 200 pennies, and Mia initially had 150 pennies.
To find out how many pennies they lost, we need to calculate the difference between their initial amounts and their final amounts:
Dante lost: 200 - (1/2)D = 200 - (1/2)(200) = 200 - 100 = 100 pennies
Mia lost: 150 - (2/3)M = 150 - (2/3)(150) = 150 - 100 = 50 pennies
Therefore, Dante and Mia lost a total of 100 + 50 = 150 pennies.
To know more about equation click-
http://brainly.com/question/2972832
#SPJ11
U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
Learn more about inscribed angle theorems on:
https://brainly.com/question/30494878
The size of a computer monitor is usually given by the length of its diagonal. A monitor's aspect ratio is the ratio of its width to its height. This monitor has a diagonal length of 27 inches and an aspect ratio of 16:9. Using ratios and the Pythagorean Theorem the approximate width is 23.5 inches and the height is inches.
The length and width of the computer monitor is 23.36 inches
and 13.14 inches.
According to the given statement
we have given that
The length of diagonal of rectangular monitor = 27 inches
The length to width ratio is 16:9
So , Let the Length of monitor = 16x
and The Width of monitor = 9x
And we have to find the length and width of the computer monitor.
So, For this purpose,
From Pythagoras theorem
(Diagonal)² = Length² + width²
Put the values in it and then
27² = (16x)² + (9x)²
729 = 256x² + 81x²
After solving we get
337x² = 729
So, x² = 2.16
∴ x = = 1.46 inches
So, The length = 16x = 23.36 inches
And The width = 9x = 13.14 inches.
Hence, The length and width of the computer monitor is 23.36 inches
and 13.14 inches.
Learn more about Pythagoras theorem here https://brainly.com/question/2437195
#SPJ4
I put a random encouraging message on here just to spread some positivity/encouragement, and someone deleted it because it "went against community guidelines." Am not complaining, just want to know how this went against guidelines so I can fix it. Thanks all!
Answer:
It was probably just because it wasnt a question.
Step-by-step explanation:
Hope this helps! Plz give brainliest!!
what is size for tv?
The size for a TV is determined as the diagonal length of the Television.
The Televisions that we see in our daily life are mostly of the rectangular shape.
A rectangular shape is a shape that has 4 sides in it, the opposite sides of the rectangular are parallel and equal. Two pairs of equal sides are formed in this type of shape.
If we connect the vertices that are directly opposite to each other than it is known as the diagonal of the rectangle . Often we see that the TV is of 32'' or 64''. This only means that the diagonal length of the TV is 32'' or 64''. This is how we measure the size of the TV.
To know more about diagonal, visit,
https://brainly.com/question/27341413
#SPJ4
What is piaget's term for cognitive development between the ages of about 2 and 6?
What is 9 copies of 1/12
Answer:
9 x 1/12 = 4 1/2.
Step-by-step explanation:
Times 9 by 1/2.
What is the relation of the volume of the pyramid its height and the area of its base?
The volume of the pyramid is one-third of the product of its height and the area of its base. That is volume of the pyramid is linearly proportional to its height and the area of its base.
A pyramid is a solid with a base and rectangle face on the edge of base meeting at a vertex. Generally we consider a right pyramid.
Consider a pyramid of base area A and height h, the volume of the pyramid is one-third of the product of its height and the area of its base, that is the volume formula of pyramid is
V = A × h/ 3
That is
V ∝ A and
V ∝ h
To know more on pyramid
https://brainly.com/question/17615619
#SPJ4