Answer:
3/4 of a lap
Step-by-step explanation:
You have to find the LCD (lowest common denominator)
That is 4, so your equation will be:
[tex]\frac{1}{4} + \frac{1}{2} = x\\\\\frac{1}{4} + \frac{2}{4} = x \\\\\frac{3}{4} = x[/tex]
if ∫3−5f(x)dx=6, and ∫3−5g(x)dx=3 , then ∫3−5[2f(x) 6g(x)]dx=
The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).
Given that:
∫3−5f(x)dx=6
∫3−5g(x)dx=3
We need to find: ∫3−5[2f(x) 6g(x)]dx
To solve this problem, we will use the properties of integration:
Property 1:
If c is a constant, then
∫cf(x)dx=c∫f(x)dx
Property 2:
If f(x) and g(x) are two functions, then
∫[f(x) + g(x)]dx = ∫f(x)dx + ∫g(x)dx
Using Property 1, we can rewrite the given equation as:
∫3−5[2f(x) 6g(x)]dx = ∫3−5[12f(x)g(x)]dx
Using Property 2, we can further simplify the equation as:
∫3−5[12f(x)g(x)]dx = ∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx
Now we can substitute the given values:
∫3−5[12f(x)]dx + ∫3−5[12g(x)]dx = 12∫3−5f(x)dx + 12∫3−5g(x)dx
Substituting the given values for the integrals of f(x) and g(x), we get:
12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3)
Simplifying, we get:
12∫3−5f(x)dx + 12∫3−5g(x)dx = 12(6) + 12(3) = 12(9) = 108
Therefore, the answer is
∫3−5[2f(x) 6g(x)]dx = 108
The answer to the given problem is ∫3−5[2f(x) 6g(x)]dx = 108. This can be found by using the properties of integration and substituting the given values for the integrals of f(x) and g(x).
the complete question is :
if ∫3−5f(x)dx=6, and ∫3−5g(x)dx=3 , then ∫3−5[2f(x) 6g(x)]dx will be equal to ?
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How do you find the cov of X and Y?
Step-by-step explanation:
The covariance of two variables X and Y is a measure of the relationship between their changes. It is calculated as:
cov(X, Y) = (1/n) * sum((x_i - mean(X)) * (y_i - mean(Y)))
where n is the number of observations, x_i and y_i are the values of X and Y respectively for the i-th observation, mean(X) and mean(Y) are the means of X and Y respectively.
In Python, you can use the numpy library to calculate the covariance as follows:
import numpy as np
X = [x_1, x_2, ..., x_n]
Y = [y_1, y_2, ..., y_n]
cov = np.cov(X, Y)[0][1]
A measurement of the intensity and direction of the linear relationship between two random variables, X and Y, is called covariance. A definition of covariance is:
Cov(X, Y) is equal to E[(X - E(X))(Y - E(Y))].
where E[...] is the anticipated value operator and E(X) and E(Y) is the expected values of X and Y, respectively.
If Cov(X, Y) is positive, X and Y have the propensity to rise or fall together. Cov(X, Y) is a measure of the tendency for two variables to move in opposite directions. When Cov(X, Y) equals 0, X and Y are said to be uncorrelated.
You must be aware of the expected values as well as the joint probability distribution of X and Y in order to compute the covariance of X and Y.
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Factorise the following:
X^2+2x
Answer:
x(x + 2)
Step-by-step explanation:
x² + 2x ← factor out the common factor x from each term
= x(x + 2)
If the two lines below are perpendicular and the slope of the red line is -7.
what is the slope of the green line?
OA
B. 7
O C.
C. -
D. -7
HEFF
5
10
Answer:
Step-by-step explanation:
10
The number of songs enjoyed from Eminem by all Learn4Life students is normally distributed with a mean of 7.0 songs and a standard deviation of 1.5 songs.
What is the probability an individual student likes between 5.5 and 8.5 songs from Eminen?
Answer:
≈84,13%
Step-by-step explanation:
To find the probability of a student liking between 5.5 and 8.5 songs from Eminem, we need to find the standard normal deviate (z-score) for each of these values and then use a standard normal table to find the area between these z-scores.
For 5.5 songs:
z = (5.5 - 7.0) / 1.5 = -1.0
For 8.5 songs:
z = (8.5 - 7.0) / 1.5 = 1.0
The area between -1.0 and 1.0 on a standard normal distribution table is approximately 0.8413. This means that the probability of an individual student liking between 5.5 and 8.5 songs from Eminem is approximately 84.13%.
Use a ratio box to solve this problem. a. The 1/12 scale model of the rocket stood 48 inches high. What was the height of the actual rocket?
The actual height of the rocket is 576 inches.
What is cross multiply?Cross multiply is to multiply the numerator of each side of a proportion by the denominator of the other side.
A ratio box is a visual tool that can be used to solve proportion problems. To use a ratio box to solve this problem, we can set up the following ratio:
1/12 : 48 inches : : x : actual height
where x is the unknown value that we want to find.
To solve for x, we can cross-multiply and simplify the equation:
1/12 * actual height = 48 inches
actual height = 48 inches * 12/1
actual height = 576 inches
So the actual height of the rocket is 576 inches.
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use the figure to find the ration in simplest form . AB/BC.
Answer: 3:2
Step-by-step explanation:
AB / BC = AB:BC
therefore, 6:4
6:4 simplified -> 3:2
Ue the given condition to write an equation for the line in point-lope form and in lope-intercept form. Slope = 1/2, paing through the origin
The equation of the line in point-slope form and in slope-intercept form are both y = 1/2x.
There are three common forms of the equation of a line:1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.
3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.
If a line has a slope of 1/2 and passing through the origin, then:
m = 1/2
(x1, y1) = (0,0)
Plug in the values in the point-slope form and in slope-intercept form.
point-slope form
y - y1 = m(x - x1)
y - 0 = 1/2(x - 0)
y = 1/2x
slope-intercept form
y = mx + b
y = 1/2x + b
Substitute the values of x and y and solve for the y-intercept, b.
0 = 1/2(0) + b
b = 0
y = 1/2x + 0
y = 1/2x
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There are 120 students in the 6th grade 56% of them failed. How many failed, Round to the nearest whole number.
120 multiplied by 56% equals 67.2 students.
The number 67 becomes the result of rounding to the nearest whole number, which is 67.2.
Describe an example of a whole number.A collection of positive integers and zero, whole numbers are numbers without fractions. The set of integers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,... and it is denoted by the sign "W". Whole Numbers: W = 0 through 10 (inclusive).
How does math define a whole number?Absolute numbers those figures that contain zero and natural integers. neither a fraction nor a decimal. {0, 2, 3, 4, 5 6, 7, 8, 9,10, 11 …} Integer. A counting number, zero, or the negative.
The number of students who failed can be calculated by multiplying the total number of students by the percentage that failed:
120 students * 56% = 67.2 students
Rounding to the nearest whole number, 67.2 students becomes 67 students.
So, 67 students failed in the 6th grade.
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Help pleasee asap 15 points!!
Answer:
They are supplementary angles
How much of a 60% solution is needed to make 50ml of a 15% solution ? A 750 ml B 15 ml C 75 ml D 12.5 ml
12.5ml of a 60% solution is required to create 50ml of a 15% amount solution. You can compute this using a proportion.
50% x 15% = 7.5 ml, and 7.5 ml x 60% = 12.5 ml
12.5ml of a 60% solution is required to create 50ml of a 15% solution. You can compute this using a proportion. To begin with, we must ascertain how much of the 15% solution is required to make 50ml. To accomplish this, multiply 50 ml by 15%, which yields the answer of 7.5 ml. This means that to make 50ml, 7.5ml of the 15% solution is required. The next step is to calculate how much of the 60% solution is needed to create 7.5ml. To do this, divide 7.5 ml by 60%, which yields the result 12.5 ml. This indicates that in order to create 50ml of the 60% solution, 12.5ml of the 60% solution
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Jake knows that 8×5=40 . Select the three statements that are true.
Answer:
8 multiplied by 5 equals 40.
8 is a factor of 40.
40 can be divided by 8 with no remainder.
Step-by-step explanation:
12^2+5^2=x^2 Find the missing side of each triangle. Round to the nearest tenth if necessary.
Answer:
x = 13
Step-by-step explanation:
x² = 5² + 12²
x² = 169
x = √169 = 13
Overnight, the temperature in Chicago was just
–
7°F. But by the afternoon, the temperature had risen 9°F.
What was the temperature in Chicago that afternoon?
°F
The temperature in Chicago at afternoon is 16 °F if Overnight, the temperature in Chicago was just 7°F. But by the afternoon, the temperature had risen 9°F.
What is relation between celsius to fahrenheit ?
The relation between celsius to fahrenheit is (0°C × 9/5) + 32 = 32°F .
Given,
Overnight, the temperature in Chicago was just 7°F.
But by the afternoon, the temperature had risen 9°F.
So, given there was rise in the temperature
so,
the temperature in chicago could be = 7 + 9
= 16
Therefore, The temperature in Chicago at afternoon is 16 °F if Overnight, the temperature in Chicago was just 7°F. But by the afternoon, the temperature had risen 9°F.
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(25 POINTS IF YOU DO THIS AND BRAINLIST) Write 4 sentences about how you found x and y describe the steps you took to find the answers.
Answer:
x = 9/2, y = 15/4
Step-by-step explanation:
The line intersecting two distinct points on both sides of the triangle are parallel
So the corresponding angles are equal
Also, we have a common angle at point A
So, both the triangles are similar by AAA criteria
Now, the sides will be proportional as the triangles are similar
4/7 = 5/5+y = 6/6+x
Solving this, we get y = 15/4 units
and x = 9/2 units
The composite figure above is made from an isosceles triangle and a rectangle. What is the area of the composite figure?
Answer:
Area of the composite figure is 516
Step-by-step explanation:
picture above
which data set is represented by the modified box plot? box and whisker plot on a number line from 70 to 140 in increments of 5. the whisker ranges from 79 to 115. the box ranges from 88 to 106 with the vertical bar inside the box at 95. one dot mark above one hundred and thirty-six. responses 92, 88, 100, 136, 106, 59, 88, 86, 98, 115 92, 88, 100, 136, 106, 59, 88, 86, 98, 115 100, 88, 100, 136, 106, 79, 88, 86, 100, 115 100, 88, 100, 136, 106, 79, 88, 86, 100, 115 92, 88, 100, 127, 106, 79, 88, 86, 98, 115 92, 88, 100, 127, 106, 79, 88, 86, 98, 115 92, 88, 100, 136, 106, 79, 88, 86, 98, 115
The data set represented by the modified box plot is: 92, 88, 100, 136, 106, 79, 88, 86, 98, 115.A graphical depiction of a set of numerical data is a modified box plot.
The figure is made by drawing a box between the data's upper and lower quartiles with whiskers extending from each end of the box to the minimum and maximum values. The median is represented by the vertical bar inside the box.
In this scenario, the data is displayed on a number line with a whisker spanning from 79 to 115 and a range of 70 to 140 in 5 increments. The box runs from 88 to 106, with 95 being the median.
The single dot mark above 136 is an anomaly. The values in the data set are: 92, 88, 100, 136, 106, 79, 88, 86, 98, 115.
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The density function of a continuous non-negative random variable (X) is defined for x > 0 as follows: fˣ(x) = C · x₄ · (1 - x)
1. Evaluate the constant, C. 2. Derive expected value, E[X] 3. Find the second moment, E[X²] 4. Determine Var [X]
Simply multiply each value of the discrete random variable by the probability associated with that value to obtain the expected value, E(X), or mean. E(X)=xP is the formula's notation (x).
How do you find ex and Var X?
It is common to refer to the long-term average or mean (symbolized as ) as the expected value of a discrete random variable X, denoted by the symbol E(X).
Thus, if you conducted an experiment again throughout time, you could anticipate this average result. If you toss three fair coins, for instance, let X be the number of heads you receive.
The expected value of X is the average number of heads you would anticipate receiving after three fair coin tosses if you were to perform this experiment a significant number of times.
f(x) = 4x³,0 < x < 1
Domain of f(x) = 4x³,0 < x < 1 : Solution : 0 < x < 1
Interval notation : (0,1)
Range of 4x³ ,0 < x < 1;
Solution : 0 < f(x) < 4
Interval Notation : (0,4)
Axis interception points of 4x³,0 <x <1.
Asymptotes of 4x³. 0 < x < 1;
Extreme Points of 4x³ . 0<x < 1:
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is it A, B,C or D I wasen't here for the assigment in class
Answer:
C :minimum value of -4
Step-by-step explanation:
the curve is a u shape so its a minimum value
if its a n shape it wouldve been a maximum value
the curve goes on -4 so its -4
Find the mEF . -2x+41 and 7x+5
Based on the chord of a circle theorem, the length of Ef is: 33.
What is the Chord of a Circle Theorem?If the arcs of a circle have the same measurement, then their corresponding chords will also have the same measurement based on the chord of a circle theorem.
Therefore, since arcs CD and EF are congruent, then:
CD = EF
Substitute and find x:
-2x + 41 = 7x + 5
-2x - 7x = -41 + 5
-9x = -36
-9x/-9 = -36/-9
x = 4
Length of EF = 7x + 5 = 7(4) + 5
Length of EF = 33 units.
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Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis? On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1). (–5, 3) (3, –5) (5, –3) (–3, 5)
The coordinates of C’ if the trapezoid is reflected across the y-axis is
(- 5, 3).
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
A reflection through the axis and is given by the following transformation rule:
(x, y) -------> (-x, y)
We have the following point:
C = (5, 3)
Now, Applying the transformation rule we have:
(5, 3) -------> (-5, 3)
So, C' is given by:
C '= (- 5, 3)
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if ln(x) = 3.23 , what is the value of x
If ln(x) = 3.23 , the value of x is 25.28.
Therefore the answer is 25.28.
If ln(x) = 3.23, then x can be found by using the exponential function.
The natural logarithm function, represented by ln(x), gives the power to which e (approximately equal to 2.71828) must be raised to equal x. So, if ln(x) = 3.23, it means that e^3.23 = x.
The exponential function is the inverse of the natural logarithm, so if ln(x) = 3.23, then
x = e^(ln(x))
= e^(3.23).
Using a calculator, we can find that e^(3.23) ≈ 25.28.
So, the value of x is approximately 25.28.
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Find the perimeter of the composite figure.
A) 46.9
B) 42.9
C) 23.5
D) 31.9
Answer:
A
Step-by-step explanation:
half circle diameter = 9-(-1) =10
so perimeter = 2π r=20π =62.8
1/2 of it = 31.4
triangle 3 sides: 10, 4.5
10²+4.5² = long line's sqaure
so long line is 11
so perimeter for triangle without the line shared with semicircle = 11+4.5 =15.45
total =31.4+15.45 =46.85
The set of integers in set Builder form
Answer:
The symbol W denotes the whole number. The symbol Z denotes integers. The symbol N denotes all natural numbers or all positive integers. The symbol R denotes real numbers or any numbers that are not imaginary
i think you mean this , i hope is help
Which describes the number and type of roots of the equation x^3 + 121x = 0
Answer:
x=0
Step-by-step explanation:
xx(x^2+121)=0
x=0
x^2+121=0
x=0
Solve for the given variable. 9(4 + c) = 99
write a scenario for this linear function: f(x)=30x+45
write a story for this exponential function: f(x)=4(3)^x
Answer:
scenario: GCF =15
15(30x+45 15+15)
15(2x+3) answers
Point C has coordinates (24, 16).
Point D has coordinates (10, 26).
What are the coordinates of the midpoint of line CD?
The coordinates of the midpoint of line CD is (17, 21).
A midpoint is a point that is equidistant from the endpoints of a line segment. It is the point that is exactly halfway between the two endpoints of the line segment.
The midpoint of a line segment is found by taking the average of the x-coordinates and the y-coordinates of the endpoints of the line segment. The coordinates of the midpoint can be determined using the formula below.
midpoint (x, y) = (x₁ + x₂/2, y₁ + y₂/2)
If point C has coordinates (24, 16) and point D has coordinates (10, 26), then the midpoint is:
midpoint (x, y) = (24 + 10/2, 16 + 26/2)
midpoint (x, y) = (34/2, 42/2)
midpoint (x, y) = (17, 21)
Therefore, the midpoint of line CD has the coordinates (17, 21).
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Seema read 511 of the book during weekday and the ret of the
book he planned to read during the weekend. What part of the book
i left for reading during the weekend?
Seema left 6/11 of the book for reading over the weekend.
To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.
If Seema reads 5/11 of the book during the weekday, then:
11 - 5 = 6This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.
This question should be written as:
Seema reads 5/11 of the book during weekday and the rest of the book she planned to reads during the weekend. What part of the book is left for reading during the weekend?Learn more about Mike has read 2/4 book here: brainly.com/question/23514329
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If x is a real number, find the minimum value of 3^{x²-4x+8}
The minimum value of 3^{x²-4x+8} is 81. The solution has been obtained by using maxima-minima.
What is maxima-minima?
The extrema of a function are known as its maximum and minimum. The maximum and smallest values of a function within the predetermined set of ranges are known as maxima and minima. The function's maximum value and minimum value are referred to as the absolute maxima and absolute minima, respectively, for the function across the whole range.
We are given f(x) = 3^{x²-4x+8}
The function is minimum when {x²-4x+8} is minimum.
When the form of the equation is ax^2 + bx + c, then minimum is at -b/2a
Here, a = 1 and b = -4
So,
x = 4/2 = 2
So, {x²-4x+8} at x = 2 is
⇒(2)^2 - 4(2) + 8
⇒4 - 8 + 8
⇒4
So, the minimum value of f(x) is
3^4 = 81
Hence, the minimum value of 3^{x²-4x+8} is 81.
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