What subjects/subcategories are learnt in MTH1W I'm taking the course with ilc and want to take better notes.

Answers

Answer 1

MTH1W is a grade 9 mathematics course that covers key mathematical concepts and problem-solving skills. Topics covered include algebraic expressions and equations, graphs of linear relationships, solving systems of linear equations, quadratic relationships, trigonometry, similar triangles and circles, Pythagorean theorem, distance formula, area and volume of geometric shapes, and statistics and probability. This course helps students build a strong foundation in algebra and geometry, and develop important problem-solving skills for future math courses. The sections on algebraic expressions, linear and quadratic relationships, and trigonometry provide students with the skills to manipulate mathematical expressions and solve real-world problems. The sections on geometry and statistics cover key concepts in these areas, providing students with a well-rounded understanding of mathematics.

To know more about mathematical concepts visit :

https://brainly.com/question/30458285

#SPJ1


Related Questions

6. At the football game they sold $3 hot dogs
and $2 sodas, which made the school $300. The
number of sodas sold was 10 more than two
times the number of hot dogs sold. Determine the
number of hot dogs and sodas sold.

Answers

Answer:

40 hot dogs and 90 sodas were sold at the football game.

Step-by-step explanation:

To solve this problem, we can set up a system of linear equations. Let's use:

"x" to represent the number of hot dogs sold

➽"y" to represent the number of sodas sold

We are given the following information:

♦The total revenue from hot dogs and sodas is $300.

♦The number of sodas sold is 10 more than two times the number of hot      dogs sold.

From this information, we can create the following equations:

▷[tex]\tt{3x + 2y = 300}[/tex] (The total revenue from hot dogs and sodas)

▷[tex]\tt{y = 2x + 10}[/tex] (The number of sodas sold is 10 more than two times the    number of hot dogs sold)

Now, we can solve this system of equations using the substitution method. Substitute the second equation into the first equation:

[tex]\tt{3x + 2(2x + 10) = 300}[/tex]

Simplify and solve for x:

[tex]\tt{3x + 4x + 20 = 300}[/tex][tex]\tt{7x = 280}[/tex][tex]\tt{x = 40}[/tex]

Now that we have the number of hot dogs sold (x = 40), we can find the number of sodas sold by substituting x back into the second equation:

[tex]\tt{y = 2(40) + 10}[/tex][tex]\tt{y = 80 + 10}[/tex][tex]\tt{y = 90}[/tex]

So, 40 hot dogs and 90 sodas were sold at the football game.

________________________________________________________

Confirming our answer

Number of hot dogs sold = 40

Number of sodas sold = 90

[tex]\texttt{90 sodas $\times$ \$2 (price of 1 soda) = \$180}[/tex][tex]\texttt{40 hot dogs $\times$ \$3 (price of 1 hot dog) = \$120}[/tex][tex]\texttt{\$120 + \$180 = \$300}[/tex]

The school earned $300 in total, this confirms our answer.

Learn more on how to solve system of equations

↳https://brainly.com/question/31856581

#BTH1

________________________________________________________

Find the smallest pair of 4-digit numbers such that the difference between them is 303 and
their HCF is 101. Show your steps.

Answers

Based on the information, it can be inferred that the required numbers are 1010 and 1313.

How to identify the required numbers?

To find the required numbers we must find the HCF, that is, the highest number by which these two numbers can be divided (303 and 101). We have tried this procedure with different numbers as shown below:

101 x 10 = 1010101 x 11 = 1111101 x 12 = 1212101 x 13 = 1313

Once we have these digits, we must find the numbers whose difference is 303; these numbers are 1010 and 1313.

Learn more about High Common Factor in: https://brainly.com/question/25299251

#SPJ1

The ratio of the measures of the three angles is 2:5:3 find each angle

Answers

Answer:

To find the measures of each angle, we first need to determine the total measure of all three angles in the triangle. Since the sum of the measures of the angles in any triangle is 180 degrees, we can find the total measure of all three angles by multiplying the ratio 2:5:3 by 180.

We can find the total measure of all three angles by using the rule of three.

2/5+5/3+3/2 = 180/x

Solving for x:

x = 1802532/ (2+5+3) = 180*60/10 = 1080

So, the total measure of all three angles is 1080 degrees.

Then, we can find the measure of each angle by multiplying the fraction of the ratio that represents that angle by the total measure of all three angles.

The measure of the first angle is: 2/10 * 1080 = 216 degrees

The measure of the second angle is: 5/10 * 1080 = 540 degrees

The measure of the third angle is: 3/10 * 1080 = 324 degrees

Personal observation allows a system analyst to verify statements made in interviewers and determine whether procedures really operate as they are described.
True/False

Answers

True. Personal observation permits a system analyst to confirm the veracity of comments provided by interviewees and to establish if procedures run as reported.

About Observation

Personal observation enables the analyst to gather firsthand information about the procedures and operations being used in an organization. This information can then be compared with what was stated during the interviews to verify the accuracy of the statements made. By observing the actual processes, the analyst can identify any discrepancies or areas for improvement, allowing for a more comprehensive and effective analysis.

The ease of learning and implementation of personal observation as a method for system analysis can vary depending on several factors such as the complexity of the system, the experience and training of the analyst, and the availability of resources.

In general, personal observation is a straightforward technique, but it can be time-consuming and requires careful planning and execution. The analyst must have strong analytical and observation skills and the ability to identify and document relevant information. Proper training and experience can help make the learning and implementation process smoother.

Learn more about Observation here:

https://brainly.com/question/28041973

#SPJ4

For what values of r will the area of the shaded region be greater that or equal to 12 square units? Write your answer as an inequality.

Answers

 The value of r should be greater than 8 in order for the area of the shaded region to be greater than 12.

What is an inequality?

An inequality is an inequation separated by <,>≥,≤

Given here:  A rectangle with dimensions r and 3 units

Thus area of the square is given by a=3r

Now area of the shaded region is given by

3r-1/2 ×3×r where ( 1/2×3×r is the area of the non-shaded triangle)

3r-1.5r

1.5r

Again the area of the shaded region is given by

1.5r>12

r>8

Hence,  The value of r should be greater than 8 in order for the area of the shaded region to be greater than 12.

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ1

Find the equation of a line passing through the point of intersection of lines 2X plus 3Y equals to one and X minus Y +2 equals to zero and parallel to the line joining the points two, three and four, five.

Answers

Answer:

y=2x+9

Step-by-step explanation:

Point of intersection of y=3 & x+y=0

Point of intersection of y=3 & x+y=0put x=3 in x+y=0

Point of intersection of y=3 & x+y=0put x=3 in x+y=0x=−3

Point of intersection of y=3 & x+y=0put x=3 in x+y=0x=−3so the point is (−3,3)

Point of intersection of y=3 & x+y=0put x=3 in x+y=0x=−3so the point is (−3,3)2x−y=4

Point of intersection of y=3 & x+y=0put x=3 in x+y=0x=−3so the point is (−3,3)2x−y=4m=2

Point of intersection of y=3 & x+y=0put x=3 in x+y=0x=−3so the point is (−3,3)2x−y=4m=2y−3=2[x+3]

Point of intersection of y=3 & x+y=0put x=3 in x+y=0x=−3so the point is (−3,3)2x−y=4m=2y−3=2[x+3]y=2x+6+3

y=2x+9

The cost of manufacturing skis is $4000 for startup costs and $85 per pair of skis manufactured. The equation that describes the cost of manufacturing n pairs of skis is
C=85n+4000. Graph this equation for 0 sn S 2000.
O
D
Solution
40k
420-
1800
2000
FA
WebAssign Graphing Tool
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties

Answers

Answer:

2200

Step-by-step explanation:

Consider the function in the graph to the right.

Answers

Step-by-step explanation:

There are two curves on this graph. One that is higher than the other. The higher one is the max and the lower one is the min

Let's find the coordinate of the higher one. Looks like it's at (2,3). This means The function has a maximum of 3 at x=2

The lower on is the same process. Looks like that ons is at (-3,-2). This means The function has a minumum of -2 at x=-3

Endoscopic retrograde cholangiopancreatography (ERCP), with sphincterotomy/papillotomy with radiological supervision and interpretation. Assign the CPT code.

Answers

For the treatment of issues with the bile and pancreatic ducts, endoscopic retrograde cholangiopancreatography (ERCP) combines upper gastrointestinal (GI) endoscopy and x-rays.

ERCP is a procedure that doctors utilize to treat bile and pancreatic duct issues. If they want to treat issues during the procedure, medical professionals also utilize ERCP to identify issues with the pancreatic and bile ducts. Instead of using ERCP for diagnosis alone, clinicians may choose to use noninvasive tests, which do not physically enter the body. Noninvasive procedures like magnetic resonance cholangiopancreatography (MRCP), a form of magnetic resonance imaging (MRI) NIH external link, are less dangerous and can also identify a wide range of issues with the bile and pancreatic ducts.

Know more about ERCP

https://brainly.com/question/30357951

#SPJ4

Write a number in wich the value of the 6 is one tenth the value of the 6 in 35,629

Answers

Answer:

101,168

Step-by-step explanation:

The value of 6 in the given number 35,629 is the hundreds value.

35,629.

You are trying to find a number in which the number 6 is in 1/10th of the value of the original number. In this case, divide the hundreds value by 10:

100/10 = 10

Place the value 6 in the tens digit place value for any number.

101,168 can be a answer choice.

Learn more about place values, here:

https://brainly.com/question/27734142

A new car is purchased for 20500 dollars. The value of the car
depreciates at 14% per year. To the nearest tenth of a year, how long
will it be until the value of the car is 7900 dollars?

Answers

The nearest tenth of a year, about 11 years 5 months  long will it be until the value of the car is 7900 dollars

How long will it be until the value of the car?

For $25,000, a brand-new car is bought. The automobile loses 14% of its value annually.

x=6.3.

Using the conditions stated, come up with:

20500 . 1 - 14% x 7900

Determine the difference or total:

First, we convert R percent to r a decimal,

which is 14%/100, which is 0.14 each year. Next, we solve for t by using the ratio

(1/0.14)(20500/7900) - 1),

which gives us 11.39 years.

At a basic interest rate of 14% per year, it will take 11.39 years to accumulate a total of $20,500.00 from the principle and interest on a $7,900.00 starting point (about 11 years 5 months).

To learn more about interest rate refer to:

https://brainly.com/question/25793394

#SPJ1

Answer: 6.3

Step-by-step explanation: just because

Determine the set of all real numbers 푥 such that

2푥 + 1 ≤ 5푥,
3푥 + 5 > 4푥 − 2.
Note that 푥 must satisfy both inequalities. Graph the result on the number
line.

Answers

The solution to the inequality is 1/3 ≤ x < 7

How to determine the solution to the inequality

For the first inequality:

2x + 1 ≤ 5x

Solving for x:

2x + 1 - 5x ≤ 0

-3x + 1 ≤ 0

-3x ≤ -1

x ≥ 1/3

For the second inequality:

3x + 5 > 4x - 2

Solving for x:

3x + 5 - 4x + 2 > 0

-x + 7 > 0

x < 7

The set of all real numbers that satisfy both inequalities is:

1/3 ≤ x < 7

Graphically, this is represented on the number line

|----|---|---|---|---|---|---|---|---|---|

1/3                                        7

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Try This question out and I’ll give you brainliest

Answers

Answer:

18%

Step-by-step explanation:

Celia=100%-Mark-Juan-Mary

Celia=100%-36%-29%-17%

Celia=100%-82%

Celia=18%

Please help me with this question.

Answers

The total amount earned by Kedar is $2285.1.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Kedar's salary is $2200. The commission amount is 3.7%. The total earnings will be calculated as:-

Total earning = 2200 + ( 4500 - 2200 ) x 0.037

Total earning = 2200 + 85.1

Total earning = $2285.1

Therefore, the total amount earned by Kedar is $2285.1.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ1

For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation. Also specify the domain and range of your equation using interval notation x(t) 7 cos (t) y(t) sin(t) Cartesian equation: Preview syntax error: this is not an equation Domain: x E -7,7] Range: y E [-1,1]

Answers

The cartesian equation and domain and range will be Domain: - 2 ≤ x ≤ 2;

Range:  - 2 ≤ y ≤ 2;

We square the following equations to obtain the cartesian equation, and then we add:

Suppose that P0 has coordinates x0,y0,z0, and n has components a,b, and c. Let P, with coordinates x,y, and z, be an arbitrary point on the plane. A Cartesian equation of the plane is what this is. in which d is a constant ax0 + by0 + cz0.

x2(t) = 4cos2(t), y2(t) = 4sin2(t).

So, x2 + y2 = 4(cos2(t) + sin2(t)), or x2 + y2 = 4

We have a circle with a radius of two and a center at the origin.

Domain: - 2 ≤ x ≤ 2;

Range:  - 2 ≤ y ≤ 2;

Know more about Cartesian equation

https://brainly.com/question/14869452

#SPJ4

The full and correct question would be:

find the cartesian equation and domain and range of this

For the pair of parametric equations below, eliminate the parameter to find its Cartesian equation. Also, specify the domain and range of your equation using interval notation.

x(t)=2cos(t)

y(t)=2sin(t)

Please Help Before Tomorrow Thank you!!!

Answers

Answer: 5,211 dollars

Step-by-step explanation: Our first approch to this is to find the number of Gala and Honeycrisp(HC) Trees are there.

We are given the number of total trees (81 trees) and the ratio between Gala and HC trees  (5 to 4). This means for every set of 9 trees, 5 will be Gala and 4 will be HC. We can create the equation

9x = 81

5x = number of gala trees

4x = number of HC trees

x represents the number of sets of 9 trees so in this case, there will be 9 sets if you solve for x.

9x = 81

divide both sides by 9

x = 9

We can plug this back into the 2 other equations that represent the number of each tree so

5(9) = 45 gala trees,

4(9) = 36 HC trees

This makes sense since 45+36 = 81 so it adds up

Now to find the amount of money just take the amount of each trees we have and multiply it by the pounds each tree made then multiply it by the price each pound makes.

45 gala trees * 25 pounds * 1.52 dollars = 1,710 dollars

and

36 HC trees * 25 pounds * 3.89 dollars = 3,501 dollars

Finally, add both of them up to get the total profit

1,710 + 3,501 = 5211 dollars

2 1/7 inches of thread can be cut from 8 3/4

Answers

4 thread of 2(1/7) inches can be made from 8(3/4) inches.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Thread = 2(1/7) inches

Total length = 8(3/4) inches

The number of 2(1/7) inches thread.

= 8(3/4) ÷ 2(1/7)

= 8(3/4) / 2(1/7)

= 35/4 x 7/15

= 7/4 x 7/3

= 49/12

= 4.08

= 4

Thus,

4 thread of 2(1/7) inches can be made.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The minute hand of a circular clock is 15 cm long how far does the tip of the runner hand move in 1 hour pi-3.14

Answers

The clock, which is equal to 30 cm multiplied by pi (3.14), or 94.2 cm, in one hour.

What is clock?

Clock is an instrument used to measure and indicate time. It is one of the oldest human inventions, measuring time in units of seconds, minutes, hours, days, weeks, months, and years. Clocks are used in many different contexts, including to regulate the timing of activities, to measure the duration of events, to indicate the time of day, to give a signal at a specific time, and to keep track of time.

The tip of the minute hand of a circular clock moves around the circumference of the clock in one hour. The circumference of the clock is equal to the diameter of the clock multiplied by pi (3.14). The diameter of the clock is equal to twice the length of the minute hand, or 30 cm. Therefore, the tip of the minute hand moves around the circumference of the clock, which is equal to 30 cm multiplied by pi (3.14), or 94.2 cm, in one hour.

To learn more about clock
https://brainly.com/question/24051741
#SPJ1

How many 3/4 s are in 2?

1. Write a multiplication equation and a division equation that can be used to answer the question.

2. Draw a tape diagram and answer the question.

Use the grid to help you draw, if needed.

Answers

Answer:

Step-by-step explanation:

I'll do the first part for you:

The number of 3/4 in 2 is [tex]=2/\frac{3}{4}[/tex]

That is the division equation.  Rearrange it to make the multiplication equation.  keep...change...flip.  Change the division to a multiplication and flip the fraction:

The number of 3/4 in 2 =[tex]=2.\frac{4}{3}[/tex]

If a car travels at a constant speed of v miles per hour for t hours, it will travel vt miles.
Evaluate vt for v=61 and t=5. What does your result mean in this situation?

Answers

The value vt= 305 shows the distance travelled.

What is Speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / Speed

Given:

If a car travels at a constant speed of v miles per hour for t hours, it will travel vt miles.

we have v= 61 and t= 5

So, vt = 61 x 5 = 305

As, we know from the formula

speed = distance/ time

distance = speed x time

here speed= v, time= t

So, the value vt= 305 represents the distance travelled when speed is 61 and time is 5.

Learn more about Speed- distance here:

https://brainly.com/question/12759408

#SPJ1

QUICKLY I WILL GIVE YOU YOUR POINT FOR THE FASTEST PERSON TO ANSWER
For each value of v, determine whether it is a solution to 15 ≤v.
10
21
12
14
Is it a solution? Yes or No for each number

Answers

Answer:

21

Step-by-step explanation:

15 ≤10

15 ≤12

15 ≤14

15 isn't less or equal to 10, neither is 12 and 14.

3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67

4. College students receive a 10% discount on the amount before tax. Calculate
the amount of the discount on this bill.

Answers

The amount of the discount 10% on this bill is, $11.767

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

3 Coffee 5.85

1 Diet Bev. – lg. 3.38

1 Sparkling Water 2.50

3 Ranch Chicken Sandwich 44.97

1 Classic Burger 12.95

1 Thai Stir-fry Special 11.50

2 Club Sandwich 22.98

Subtotal 104.13

Tax (13%) 13.54

Total 117.67

Discount  amount 10%  =  117.67x10/100

                                      =  11.767

Hence, the discount amount is $11.767

To know more about Percentage check:

brainly.com/question/29306119

#SPJ1



There are 20 students in a class. 5 of them scored A and 10 of them scored B while the others scored C for Calculus. If a student is selected at random, what is the probability that the selected student scored A or B in Calculus?​

Answers

Answer:

15/20

Step-by-step explanation:

5students=a

10students=b

15/20

please tell me if i got it right

In a volatile housing market, the overall value of a home can be modeled by V(x) = 210x^2 – 4400x + 125000, where V represents the value of the home and x represents each year after 2020. Find the vertex and interpret what the vertex of this function means in terms of the value of the home. Show the work you completed to determine the vertex.

Answers

The vertex is (21, 125210)

The vertex shows that the overall value of home in 21 years after 2020,i.e., in 2041 is 125210 dollars.

What is quadratic equation in math?

A polynomial equation of the second degree, or a quadratic, must contain at least one squared term to be considered a quadratic.            

                         Equations with quadratic terms are another name for them. The quadratic equation is expressed in its general form as ax2 + bx + c = 0. When the numerical coefficients a, b, and c are present and x is an unknown variable.

The overall value of a home is modeled by

v(x) = 210x²-4400x+125000

This is a quadratic function which is of the form ax²+bx+c ⇒ x²+(b/a)x+(c/a)

The vertex of a quadratic function is the point where the rate of change of function is zero.

x-coordinate of the vertex is given by (-b/2a) and the y-coordinate is the corresponding y-value to the x-coordinate of the vertex.

Hence here, x-coordinate = -(-4400/210) = 20.95 ≈ 21

y-coordinate = 210 x 21²-4400 x 21+125000 = 125210

The vertex is (21, 125210).

The vertex shows that the value of home in 21 years after 2020,i.e., in 2041 is 125210 dollars.

Learn more about the quadratic equation

brainly.com/question/30098550

#SPJ1

What will your average hourly wage be? Enter your answer up to two decimal places.

Answers

Answer:

lets say you decide to take three part-time jobs: Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour. What will your average hourly wage be? Enter your answer up to two decimal places. its on edmentum.

For this it's going to be 13.75. The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job): 0.6 × 11 + 0.25 × 19 + 0.15 × 16 = $13.75.

Match each statement as an example of classical probability, empirical probability, or subjective probability.

-
Recruiters in UAE expect that there is an 80% chance that remote hiring will increase in 2023.


-
A medical center has 20 medical employees of whom 5 are physicians, 10 are nurses, 3 are Lab technicians and 2 are radiologists. The probability that a randomly selected medical employee from this center will be a nurse is 0.50.


-
Based on a survey of 1,012 Emiratis and residents, it is estimated that there is a 73% chance that a randomly selected adult will say that he/she is playing games on mobile phones.


-
A climate change expert said that there is a 40% chance that the frequency of extreme floods in Asian countries will double in the coming 5 years.

-
According to Sharaf DG records, there is a 25% chance that the customer who buys a smartphone will buy a bluetooth headphones also.

A.
Subjective Probability

B.
Classical Probability

C.
Empirical Probability

Answers

The situations described are A : subjective, B : classical, C : empirical, D : subjective and E : empirical.

What is Classical, Empirical and Subjective Probability?

In Classical probability, probability of an event is found using the basic probability formula assuming the outcomes in a sample space are equally likely.

In Empirical probability, experiment is actually done and record the outcomes.

In subjective probability, probability is based completely on the intuition or guess.

A : Recruiters are making a wild guess that there is an 80% chance that remote hiring will increase in 2023. This is a subjective probability.

B : This is classical probability because the probability is found by the basic formula, Number of nurses divided by total number of medical employees = 10/20 = 0.50.

C : This is an empirical probability because the experiment of survey is already done to find that there is a 73% chance that a randomly selected adult will say that he/she is playing games on mobile phones.

D : This is a subjective probability because the climate change expert made a educated guess.

E : This is an example of empirical probability because, the probability is known according to the Sharaf DG records.

Hence the situations are classified as classical empirical and subjective probability.

Learn more about Classical, Empirical and Subjective Probability :

https://brainly.com/question/29776548

#SPJ1

1. Find the 6th term in the geometric sequence where a1= 2 and r= 3
2. Find the 9th term in the geometric sequence where a1= 1/3 and r= 3

Answers

1) The 6th term of the geometric sequence is;  a₆ = 486

2) The 9th term of the geometric sequence is; a₉ = 729

How to find the nth term of a geometric sequence?

The formula for the nth term of a geometric sequence is;

aₙ = a₁rⁿ⁻¹

where;

a₁ is first term

r is common ratio

n is position of term

1) The parameters are;

First term; a₁ = 2

common ratio; r = 3

Thus, the 6th term is;

a₆ = 2 * 3⁶⁻¹

a₆ = 2 * 3⁵

a₆ = 486

2) The parameters are;

First term; a₁ = 1/3

common ratio; r = 3

Thus, the 9th term is;

a₉ = (1/3) * (3)⁸⁻¹

a₉ = (1/3) * 3⁷

a₉ = 729

Read more about Geometric sequence at; https://brainly.com/question/24643676

#SPJ1

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

The slope of the tangent line is 12.

What is slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given that, a function f(x) = 3x²+1, has a rate of change at x = 2

We are asked to calculate the instantaneous rate of change and slope of secant,

Instantaneous Rate of Change

We can approximate to the value of the slope of one function P(x) by computing the slope of the secant line as:

m = f(x+Δx) - f(x) / Δx

Where Δx is an infinitesimal change of x, as small as we want.

The given function is = f(x) = 3x²+1

Let Δx = 0.1

m = f(2+0.1) - f(2) / 0.1

= 14.23 - 13 / 0.1

= 12.3

Now we use a smaller infinitesimal or differential

Δx = 0.01

m = f(2+0.01) - f(2) / 0.01

= 0.1203 / 0.01

= 12.03

We can see the slope is getting closer to 12 as the infinitesimal tends to 0,

Hence, we can estimate the slope of the tangent line is 12

Learn more about slope, click;

https://brainly.com/question/3605446

#SPJ1

Please help me with this question.

Answers

By integration by parts, the integral ∫ 4 · x · e³ˣ dx = (4 / 3) · x · e³ˣ - ∫ (4 / 3) · e³ˣ dx is an alternative form of integral ∫ 4 · x · e³ˣ dx. (Correct choice: A)

How to define an integral by means of integration by parts

Herein we find the case of an integral of a product of two functions that cannot be integrated by means of a single integral and algebraic substitution, this can be found alternatively by definition of integration by parts:

∫ u dv = u · v - ∫v du

First, define functions u and dv:

u = 4 · x

dv = e³ˣ dx

Second, find functions du and v:

du = 4 dx

v = (1 / 3) · e³ˣ

Third, find the alternative integral equation:

∫ 4 · x · e³ˣ dx = (4 / 3) · x · e³ˣ - ∫ (4 / 3) · e³ˣ dx

To learn more on integration by parts: https://brainly.com/question/1550271

#SPJ1

ap stats what can be a binomial variable two people with equal skills; one game for 50 days, skills never change

Answers

The probability that an event will occur is determined by the likelihood of each possible outcome and the number of possible outcomes.

In this scenario, the binomial variable is the number of wins for the two people with equal skills playing a game for 50 days.

The probability of success (a win) is the same for each game, and the number of trials is fixed at 50, making this a binomial experiment.

Probability is the measure of how likely it is that an event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that it is certain to occur. The probability that an event will occur is determined by the likelihood of each possible outcome and the number of possible outcomes.

Learn more about probability

https://brainly.com/question/28185528

#SPJ4

Complete question:

A binomial variable in the context of this scenario would be the number of wins out of 50 games, since there are only two outcomes that can occur: a win or a loss.

Other Questions
many social media platforms feature celebrities who make money by promoting various products. this is particularly common for the diet industry, which uses high-profile people to promote products. which best explains why this is a problem? Question 8 of 10When you think about whether most people are basically good or basicallybad, you are:OA. exploring your own beliefs.OB. deciding what actions to take in your life.C. accepting the values of others.D. repeating beliefs you learned from your family.SUMIT finm3404 assignment deutsche bank why has sewing put forth yet another restructuring plan for deutsche bank (his first)? what is he trying to accomplish? do you agree? why or why not? explain. Which of the following were key elements of the lead-up to the eventual British surrender at Yorktown?leadership of General Nathanael Greene in Carolinablocking Cornwallis between land and seasupport from the French How do Hawaii and Yellowstone also prove continental drift? Given (x 7)2 = 36, select the values of x. a. x = 13b. x = 1c. x = 29d. x = 42 true or false: increased drug-control efforts by federal agencies has resulted in an unquantifiable cost in the loss of individual freedom that is inevitable. HELP ME PLSS!?!?In the mall you receive a coupon for $5 off of a pair of jeans when you arrive at the store you find that all jeans are 25% off.let x represent the original cost of the jeans .the function f(x)=x-5 represents the cost of the jeans if you use the coupon .the function g(x)=0.25x represents the cost of the jeans if you apply the store discount of 25% first Write a function: H(x) that represents how much you would pay if you use the mall coupon that followed by applying the discount from the store?? an f1,v random variable can be thought of as the square of what kind of random variable true/false: if a function has no return statement, the flow of control moves to the next function in the file when the closing brace of the function body is reached. Franklin Checker Which line bet how an idea that i important to include in a ummary of thi tory? b) The average of 9 numbers is 23. If the average of first five numbers is 20 andthat of last five numbers is 25, what is the fifth number?NEXT QUESTION:c) The average age of a husband and wife was 23 years at the time of theirmarriage. After 10 years, they have now a daughter of 6 years, what is heaverage age of the family at present? per company policy tools over 1000 are capitalized. whats the correct entry to record a tool purchase of 500? [tex]3x^{2} +10x-8=0\\[/tex] when prescribing oral metronidazole (flagyl) to treat bacterial vaginosis, patient education would include: what action by the school nurse is important in the prevention of rheumatic fever the united states department of energy regularly transports nuclear materials through a particular city on the way to a nuclear weapons processing plant it operates in a nearby state. the city recently adopted an ordinance prohibiting the transportation of any nuclear materials in or through the city. the ordinance declares that its purpose is to protect the health and safety of the residents of that city. the impact of declining stock prices in the u.s. during 20002006 on u.s. household wealth was at least partially offset by according to rotter, people's behavior is determined by their belief that reinforcements are either internally or externally controlled. When the two political parties reach ------ they will sign a contract.concurrencea concurrentconcurred