The total number of Cheeseburgers will be 263.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Cheese burgers= x
Hamburgers= y
y-x= 62
x+y = 588
we add both the equations we get 2y = 650
y=650/2
y= 325
x = 588-325= 263
Hence, The total number of Cheeseburgers will be 263.
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Divide the sum of `(-12)/(5) and (-18)/(15)` by their difference.
Dividing the sum of `(-12)/(5) and (-18)/(15)` by their difference. The answer is 3.
How did we get the value?To divide the sum of two numbers by their difference, we first need to find the sum and the difference of the two numbers.
The sum of (-12)/(5) and (-18)/(15) is:
(-12)/(5) + (-18)/(15) = (-12)/(5) + (-6)/(5) = -18/5
The difference of (-12)/(5) and (-18)/(15) is:
(-12)/(5) - (-18)/(15) = (-12)/(5) - (-6)/(5) = -6/5
Finally, dividing the sum by the difference, we get:
(-18/5) / (-6/5) = -18/-6 = 3
So, the answer is 3.
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Find the base of a triangle with a height of 12 in and an area of 24 square inches. **How do I set it up? **
Answer: Brainliest Award pls
To find the base of a triangle with a given height and area, you can use the formula for the area of a triangle:
Area = (base * height) / 2
So, you can set up the equation:
24 = (base * 12) / 2
Solving for the base:
24 * 2 / 12 = base
base = 48 / 12 = 4
So, the base of the triangle is 4 inches.
Step-by-step explanation:
To find the base of a triangle with a given height and area, you can use the formula for the area of a triangle:
Area = (base * height) / 2
So, you can set up the equation:
24 = (base * 12) / 2
Solving for the base:
24 * 2 / 12 = base
base = 48 / 12 = 4
So, the base of the triangle is 4 inches.
BRAINLIEST AND POINTS
The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 1, 3
3 1, 1, 5
4 1, 3, 4
5 0, 8
6 2
Key: 4|1 means 4.1
What is the mean, and what does it tell you in terms of the problem?
4.59 feet; The value means that a typical throw of the ball results in 4.59 feet.
4.1 feet; The value means the furthest the ball went.
3.825 feet; The value means that a typical throw of the ball results in 3.825 feet.
3.1 feet; The value means this measurement had the most occurrences.
The mean and the meaning is
C. 3.825 feet; The value means that a typical throw of the ball results in 3.825 feet.What is mean?The mean is a measure of central tendency that gives us the average value of a set of numbers.
To calculate the mean of the distances that the ball was thrown, we add up all the values and divide by the number of values. In this case, the mean is calculated as:
= (2.0 + 2.1 + 2.3 + 3.1 + 3.1 + 3.5 + 4.1 + 4.3 + 4.4 + 5.0 + 5.8 + 6.2) / 12
= 45.9 / 12
= 3.825
This value of 3.825 feet tells us that on average, the ball was thrown a distance of approximately 3.825 feet. This value gives us an idea of what a typical throw of the ball looks like, and can help us understand the distribution of the data.
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The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:.
A. The slope of the line is 40
B. The equation of the line is 40x - y + 600 = 0
C. The equation is g(x) = 4x + 600
The balance is 628 Rs.
The formula of the slope of line = Δy/Δx
= 720 - 600 / 3 - 0
= 120/3
= 40
The equation of a line is given as y - y₁ = m(x - x₁)
m = 40 which is the slope.
When we substitute we have
y - 600 = 40(x - 0)
We have to substitute x as 0
y - 600 = 0
y = 600
therefore y = 40x + 600
This implies that 40x - y + 600 = 0
c. y - 600 = 40x
g(x) - 600 = 4x
hence
g(x) = 4x + 600
d. x is 7 days
g(x) = 4*7 + 600
= 628
The balance in the bank after 7 days is 628Rs.
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The complete question is:
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $600
3 $720
6 $840
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 7 days? (2 points)
7. Statistics is a branch of mathematics that deals with
A. graphing functions on a coordinate plane.
B. using artificial intelligence to make predictions.
C. collecting data about the world.
O D. the properties of shapes and space.
Statistics is a branch of mathematics that deals with collecting data about the world. Hence, option C is the correct answer.
What is statistics?The study of data gathering, analysis, interpretation, presentation, and organization is known as statistics. In other words, gathering and summarizing data is a mathematical discipline. Additionally, statistics might be considered a subfield of applied mathematics. However, uncertainty and variation are two crucial and fundamental concepts in statistics. Only statistical analysis can determine the uncertainty and variation in many sectors. The probability, which is a key concept in statistics, essentially determines these uncertainties.
According to the definition of statistics; the study of data gathering, analysis, interpretation, presentation, and organization is known as statistics.
Hence, statistics is a branch of mathematics that deals with collecting data about the world. Hence, option C is the correct answer.
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Which expressions are equivalent to 3 ·· 4 a(16b 1 24)? Choose all the correct answers. A 12ab 1 18a B 6(2ab 1 3a) C 12ab 1 24 D 16b 1 18a E 2a(6b 1 9)
The equivalent expression is 192ab + 288a
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
3 ·· 4 a(16b 1 24
Express properly
So, we have
3 ·· 4 a(16b + 24)
Open the bracket
12a(16b + 24)
This gvves
192ab + 288a
Hence, the exrpession is 192ab + 288a
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how many centimeters are there in a length 26.2 inches ? express your answer in centimeters to three significant figures
Answer: 66.548
Step-by-step explanation: 26.2 in = 66.548 so that is how I got my elegant marvelous answer
ravi rented a truck for one day. there was a base fee of 14.99 , and there was an additional charge of 89 cents for each mile driven. ravi had to pay when he returned the truck. for how many miles did he drive the truck?
The problem states that Ravi rented a truck for one day and there was a base fee of $14.99 and an additional charge of 89 cents for each mile driven. The goal is to find the number of miles that Ravi drove the truck.
We can start by using an equation to represent the total cost of renting the truck. Let's call the number of miles driven "m". The total cost can be expressed as:
14.99 + 0.89m
The first part of the equation (14.99) represents the base fee and the second part (0.89m) represents the additional charge for each mile driven.
Next, we can use the information given in the problem to solve for m. We know that Ravi had to pay a total of $14.99 when he returned the truck, so we can set up the following equation:
14.99 + 0.89m = 14.99
Solving for m, we can subtract 14.99 from both sides:
0.89m = 0
Finally, we can divide both sides by 0.89 to find the value of m:
m = 0
So, Ravi drove the truck for 0 miles. This means that either he did not drive the truck at all, or the number of miles driven was so small that it was rounded down to 0 miles.
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What is two rays sharing a common endpoint?A)angleB)circleC)triangleD)line segment
An angle is the two rays sharing a common endpoint.
What is an angle in math?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.Learn more about an angle refer to ;
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data collected over several years shows that of all patients that come to the doctor's office with a sore throat, 220 patients are being sampled with a sore throat are tested for this virus. 5% (or 11 patients) of them have a contagious virus. a) the population is [ select ] . the parameter of interest is [ select ] and the value of the parameter is [ select ] . b) the central limit theorem (clt) holds for the sample proportion of patients with a contagious virus, because [ select ] . c) the mean of the sample proportion of patients with sore throat who have the virus is [ select ] and standard deviation the sample proportion is [ select ] . d) the probability that between 7.5% and 9% of these 220 patients in the sample with sore throat that have the virus is: [ select ] e) [ select ]
A sample of 220 patients with sore throats is tested for a contagious virus (5% positive). The central limit theorem holds and the mean of the sample proportion is 5% with a standard deviation of 0.0096. The probability of 7.5-9% positive is 68.3%.
a) the population is all patients who come to the doctor's office with a sore throat. The parameter of interest is the proportion of patients with a contagious virus in the population. The value of the parameter is 5%.
b) the central limit theorem (CLT) holds for the sample proportion of patients with a contagious virus because the sample size of 220 patients is large enough (more than 30) and the sample is being drawn randomly from the population.
c) the mean of the sample proportion of patients with a sore throat who has the virus is 5% and the standard deviation of the sample proportion is √(0.05 * 0.95) / 220 = 0.0096.
d) the probability that between 7.5% and 9% of these 220 patients in the sample with a sore throat have the virus is approximately 68.3% (based on a normal distribution).
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A sample of 220 patients with sore throats is tested for a contagious virus (5% positive). The central limit theorem holds and the mean of the sample proportion is 5% with a standard deviation of 0.0096. The probability of 7.5-9% positive is 68.3%.
a) the population is all patients who come to the doctor's office with a sore throat. The parameter of interest is the proportion of patients with a contagious virus in the population. The value of the parameter is 5%.
b) the central limit theorem (CLT) holds for the sample proportion of patients with a contagious virus because the sample size of 220 patients is large enough (more than 30) and the sample is being drawn randomly from the population.
c) the mean of the sample proportion of patients with a sore throat who has the virus is 5% and the standard deviation of the sample proportion is √(0.05 * 0.95) / 220 = 0.0096.
d) the probability that between 7.5% and 9% of these 220 patients in the sample with a sore throat have the virus is approximately 68.3% (based on a normal distribution).
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For each of the professions in the left column, calculate the annual pay based on
full-time, year-round employment consisting of 2,000 hours a year (40 hours per
week for 50 weeks per year). Record your calculations under "Annual income in
the table. Then, find the difference between each annual wage figure and a) the
poverty threshold and b) the median household income. If the difference is a
negative number, record it as such. (30 points)
Hourly wage
Annual
income
Difference
between
annual wage
and federal
Difference
between
annual wage
and median
household
income
poverty line
$7. 25
Federal
minimum
wage
California's
minimum
wage
$8. 00
$55. 65
Marketing
managers
Police officers $27. 40
$9. 38
Child-care
workers
It is clear that even with full-time, year-round employment at the federal minimum wage, the annual income is still below the poverty line. California's minimum wage provides slightly better wages, but it still remains below the poverty line.
Annual income:
Federal minimum wage: $15,080
California's minimum wage: $16,640
Marketing managers: $110,000
Police officers: $55,680
Child-care workers: $14,500
Difference between annual wage and federal poverty line:
Federal minimum wage: -$10,470
California's minimum wage: -$8,910
Marketing managers: $55,000
Police officers: $8,550
Child-care workers: -$10,830
Difference between annual wage and median household income:
Federal minimum wage: -$57,040
California's minimum wage: -$49,560
Marketing managers: $45,000
Police officers: $420
Child-care workers: -$63,010
However, child-care workers' annual income is still well below the poverty line and the median household income. This highlights the importance of providing a living wage for all workers, especially those in low-wage industries.
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The quadratic function d = -2x^2+ 10 models a skateboarders distance,
in feet, from the bottom of a hill, x seconds after the skateboarder starts moving down the hill.
After how many seconds, is the skateboarder 1 ft from the bottom of the hill?
Answer:
2.1 seconds
Step-by-step explanation:
Note we are told that d = -2x² + 10, where d is distance (in feet) and x is time (in seconds).
After how many seconds is the skateboarder 1 ft from the bottom of the hill? => What is x when d=1?
To do this, sub 1 in for d and solve for x:
d = -2x² + 10
1 = -2x² + 10
-9 = -2x²
4.5 = x²
x = [tex]\sqrt{4.5}[/tex] ≈ 2.12132
Which angle is 120 degree?
Answer:
wrong ?
Step-by-step explanation:
show us crycle or a picture man
Given that 120 is a number between 90 and 180, it is an obtuse angle. This angle's measurement is therefore 90º < 120º < 180º.
What is angle?Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. It has completed two full rotations if you observe an angle of 720°. An angle is a figure created by two rays or lines that have the same termination in plane geometry. The Latin word "angulus," which meaning "corner," is where the term "angle" originates. The common terminal of the two rays—known as the vertex—is referred to as an angle's sides.Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet.To learn more about angle, refer to:
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How many integrals would be required in the shell method?
The number of integrals required in the shell method is one or two, depending on the axis of rotation and the dimension of the solid of revolution.
The number of integrals required in the shell method depends on the dimension of the solid of revolution being generated. The shell method generates a solid of revolution by rotating a region about an axis.
For a solid of revolution generated by rotating a two-dimensional region about a vertical axis (i.e., a vertical shell), two integrals are required: one to find the volume of the shell and another to add up the volumes of all the shells to get the total volume of the solid.
For a solid of revolution generated by rotating a two-dimensional region about a horizontal axis (i.e., a horizontal shell), one integral is required to find the volume of the solid.
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If c intersects b what is m<2
The measure of angle 2 from the given figure is 90°.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, c is perpendicular to b.
Sice, c⊥b angles formed with lines c and b are equal to 90°.
Now, m∠2=90°
Therefore, the measure of angle 2 from the given figure is 90°.
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A regular hexagon is dilated by a scale factor of 7575 to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter?.
The perimeter of the new hexagon is 7575 times greater than the original perimeter.
New Hexagon Perimeter ComparisonHere are the steps to compare the perimeters of a regular hexagon after dilation by a scale factor of 7575:
Find the original perimeter: To find the perimeter of a regular hexagon, multiply the number of sides by the length of one side. A regular hexagon has 6 sides, so the perimeter is 6 times the length of one side.Dilate the hexagon: A dilation by a scale factor of 7575 means that each length is multiplied by 7575. So, the new length of one side of the hexagon is 7575 times the original length of one side.Find the new perimeter: Multiply the number of sides by the new length of one side to find the new perimeter.Compare the perimeters: The new perimeter is 7575 times greater than the original perimeter.Learn more about New Hexagon Perimeter Comparison here:
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2. which of the following is not a categorical variable? a. the mileage of a car b. a person's gender c. the make of a laptop d. whether a person is a college graduate
The correct answer is option a). The variable "the mileage of a car" is not a categorical variable.
A categorical variable, also known as a nominal variable, is a variable that can be divided into categories or groups. These categories can be any non-numeric values such as names, labels, or yes/no answers.
The variables "a person's gender," "the make of a laptop," and "whether a person is a college graduate" are all examples of categorical variables because they can be divided into categories such as "male," "female," "Dell," "HP," "yes," and "no."
However, the variable "the mileage of a car" is not a categorical variable because it is a numeric variable that represents a specific numerical value, such as the number of miles a car has driven. Unlike categorical variables, numeric variables can be ordered, compared, and manipulated mathematically.
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Use the distributive property to write an expression that is equivalent to 2s 1 3s with 2 as the exponent
The equivalent expression of the given expression is 6s^2
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
2s 1 3s
Rewrite the expression properly
So, we have the following representation
2s * 3s
Evaluate the product
So, we have the following representation
6s^2
Hence, the equivalent expression is 6s^2
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Distance and Dot Products: Consider the vectors u=〈−3,10,9〉 and v=〈9,−5,7〉.
The dot product of u and v is -64. The distance between u and v is 16.
The dot product of two vectors u and v is calculated by multiplying the corresponding components of each vector and then summing the results. Therefore, the dot product of u and v is:
u•v = (−3)(9) + (10)(−5) + (9)(7) = −27 − 50 + 63 = −64
The distance between two vectors u and v is calculated by taking the square root of the dot product of the two vectors. Therefore, the distance between u and v is:
Distance(u,v) = √(u•v) = √(−64) = 16
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Consider the two functions shown below. Assume the blue line represents afx) and the pink line represents b(x). Which statement is true about these functions at x-3? O O 2 (3) (3) but (3) = (3) and 3 O (3) -(3) but O a(3) (3) and O I DON'T KNOW YET
The statement that is true about these functions at x = 3 is that a(3) = b(3).
At x = 3, the value of a(x) is equal to the value of b(x) because the lines representing the two functions intersect at x = 3. Therefore, a(3) = b(3).
The two functions shown, a(x) and b(x), intersect at x = 3. This means that the values of the two functions are equal at x = 3. Therefore, a(3) = b(3).
The two functions, a(x) and b(x), represent mathematical expressions that can be graphed on a coordinate plane. When two lines intersect, they meet at exactly one point. In this case, the lines representing the two functions intersect at x = 3. This means that the two functions have the same value at x = 3. Therefore, a(3) is equal to b(3), which can be mathematically expressed as a(3) = b(3). This is an important property of intersecting lines and is commonly used in mathematics, engineering, and other related fields. It provides a way to find the common value between two functions at a specific point.
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three groups of participants are asked to read a short story and then take a multiple-choice test on the content of the story. one group is given 10 minutes to read the story, a second is given 15 minutes, and a third 20 minutes. the independent variable in this study is
Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).
What is variable ?
variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Let's denote the amount of time given to read the story as t. The independent variable t has three levels: t = 10 minutes, t = 15 minutes, and t = 20 minutes.
The dependent variable y is the test scores on the content of the story. The purpose of the study is to determine the relationship between the independent variable t and the dependent variable y.
The problem can be mathematically represented as:
y = f(t)
where f is a function that represents the relationship between the independent variable t and the dependent variable y.
Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).
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Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).
variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Let's denote the amount of time given to read the story as t. The independent variable t has three levels: t = 10 minutes, t = 15 minutes, and t = 20 minutes.
The dependent variable y is the test scores on the content of the story. The purpose of the study is to determine the relationship between the independent variable t and the dependent variable y.
The problem can be mathematically represented as:
y = f(t)
where f is a function that represents the relationship between the independent variable t and the dependent variable y.
Independent variable t is time given to read story, dependent variable y is test scores, relationship modeled as y = f(t).
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Is u in the plane in R3 spanned by the columns of A? I was able to reduce the matrix and see that there is a solution and it is consistent. However my last row doesn't have a pivot and is 000=0, how can the answer be yes if each row doesn't have a pivot and doesnt follow theroem 4?
Yes, the solution to the system of linear equations represented by the matrix A lies in the plane spanned by the columns of A.
If the last row of the reduced matrix is [0, 0, 0, 0], it means that the system of linear equations represented by the matrix is consistent, but not necessarily unique. This is because the last row corresponds to an equation of the form 0 = 0, which is always true.
However, the presence of a non-zero row in the reduced matrix that corresponds to a non-trivial equation (i.e., an equation that is not of the form 0 = 0) is sufficient to guarantee that the solution exists and is unique, and that the solution lies in the plane spanned by the columns of A.
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Circle F is centered at the origin. If the radius of circle Q is 7, which of the following statements is TRUE?
Circle on grid
A.) If the distance from the origin to a given point is 7, then that point lies on circle F.
B.) If the distance from the origin to a given point is less than 7, then that point lies outside circle F.
C.) If the distance from the origin to a given point is greater than 7, then that point lies on circle F.
D.) If the distance from the origin to a given point is greater than 7, then that point lies inside circle F.
Answer:
The statement that is true is B. This can be determined by using the information from openstax.org, which states that the measure of an angle is the amount of rotation from the initial side to the terminal side. Since the radius of circle Q is 7, any point with a distance from the origin that is less than 7 will lie outside of circle F.
Step-by-step explanation:
a fair coin is tossed 26 times. what is the probability that at most 23 tails occur?
The probability that at most 23 tails occurs is 46/52.
Describe probability.Probability is a measure of how likely something is to occur. It is a branch of mathematics that studies the occurrence of random events. The value is between 0 and 1. Mathematics has incorporated probability to forecast the possibility of events happening. The probability of something happening is referred to as its likelihood. The probability distribution is based on this fundamental idea of probability. We must first identify the total number of possibilities in order to calculate the probability that a specific event will occur.
Probability that an event will occur P(E) is the proportion of favourable outcomes to all outcomes.
Now,
Total no. of times coin tossed=26
Total outcomes=26 × 2=52
the probability that at most 23 tails occur=1-probability that 24,25 and 26 tails occured
=1- × [tex]\frac{25}{52}[/tex] × [tex]\frac{26}{52}[/tex]
=1-15600/140608
=89/100≈46/52
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Write a quadratic function h whose only zero is -10
only has one zero/root, and it's a quadratic, means that that only zero has a multiplicity of 2, namely is there twice, so
[tex]\begin{cases} x = -10 &\implies x +10=0\\ x = -10 &\implies x +10=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{( x +10 )( x +10 ) = \stackrel{0}{h}}\implies x^2+20x+100=h[/tex]
First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.) ∫9 cos√x dx
The required value of the integral is 9x^(1/2) cos√x - (1/2) ∫9 sin√x x^(-1/2) dx
What is integration?When different individuals or objects are brought together, such as when all of the district's elementary school children attend the new middle school or when snowboarding is introduced to all ski slopes, integration takes place.
According to question:The general formula for integration by parts is ∫u dv = uv - ∫v du. Choosing u = cos√x and dv = 9 dx, we have:
du = (1/2) sin√x dx and v = 9x^(1/2)
Therefore, the integral becomes:
∫9 cos√x dx = 9x^(1/2) cos√x - (1/2) ∫9 sin√x x^(-1/2) dx
This can be further simplified if desired, but this is the result obtained by using integration by parts.
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Write the slope-intercept form of the ec
3x-2y=-16
The equation in the slope-intercept form is:
y = 8 + (3/2)x
How to write the line in the slope-intercept form?Herewe have the linear equation:
3x - 2y = -16
And we want to write it in the slope-intercept form.
To do that, we need to isolate the variable y.
We will get:
3x - 2y = - 16
-2y = -16 - 3x
y = (-16/-2) + (-3/-2)x
y = 8 + (3/2)x
That is the equation written in the slope-intercept form.
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A science class is planning a field trip to the zoo. The zoo offers a special
rate of $135. 00 for 15 students and $7. 50 for each additional student.
What is the cost of admission for a group of 26 students?
Total amount of admission fee for the group of 26 students is 82.5$+135$ which is equal to 217.5 dollars.
There are a total of 26 students and the special offer is valid up to 11 students only.
Each of the 15 students will have to pay $135 as a special offer.
There are 11 more students, nevertheless, in addition to the great offer.
Each student paid an additional 7.5 dollars.
Therefore, the cost for 11 students is 11*(7.5$)=82.5$.
The total fee that is now owing is 82.5 + 135 dollars, which is equivalent to 217.5 dollars.
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Recall that in Problem 3 of the reading questions for Section 2.1, you found that if f(x) = ln(x), then f'(2) = 1/2. Use this to find a formula for the tangent line to f(x) = ln(x) at x = 2.y = ___
The formula for the tangent line to f(x) = ln(x) at x = 2 is: y = (1/2)(x - 2) + ln(2)
The tangent represents the supplied function's instantaneous rate of change at a location.
The slope of the tangent at a location equals the function's derivative at the same position. The tangent slope of a function y = f x is d y d x.
The tangent and normal equations may be determined using the coordinate geometry formal of point-slope form.
The tangent equation is (y - y1) = m(x - x1), while the normal equation, passing through this same point and perpendicular to the tangent, is (y - y1) = -1/m (x - x1).
The formula for the tangent line to the function f(x) = ln(x) at x = 2 is given by:
y = f'(2)(x - 2) + f(2)
Plugging in the value f'(2) = 1/2 and f(2) = ln(2), we get:
y = (1/2)(x - 2) + ln(2)
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3.) Make up a word problem for this expression. 3(8a + 5c + 6e)
Answer: A math teacher writes 3(8a + 5c + 6e) on the board and asks her students to simplify the expression. If a student has values of a = 2, c = 3, and e = 4, what is the result of simplifying the expression?
Step-by-step explanation: