The equation: f(x) = 3x^7 + 2x^5 - 5x - 12 will have just one inflection point.
How to calculate inflection pointAn inflection point is a point on a curve where the concavity, or curvature, changes. More specifically, it is a point where the second derivative of a function changes sign.
From the given equation, we can find inflection point:
f(x) = 3x^7 + 2x^5 - 5x - 12
by taking the second derivative of this function and set it equal to zero.
f(x) = 3x^7 + 2x^5 - 5x - 12
f'(x) = 21x^6 + 10x^4 - 5
f''(x) = 126x^5 + 40x^3
Now, we need to set f''(x) equal to zero and solve for x:
126x^5 + 40x^3 = 0
2x^3(63x^2 + 20) = 0
x = 0 or x = ±sqrt(20/63)
The point of inflection is only at x = 0.
Learn more about point of inflection here:
https://brainly.com/question/29249123
#SPJ1
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $9,000, annual interest: 9%, interest periods: 12, number of years: 20
After 20 years, the investment compounded periodically will be worth:
(Round to two decimal places as needed.)
more than the investment compounded annually.
After 20 years, the investment compounded periodically will be worth $ 3, 238. 47 more than the investment compounded annually.
How to find the investment value ?First, find the value of the investment when it is compounded periodically, 12 times a year.
The formula is:
= Amount invested x ( 1 + rate ) ^ number of periods
= 9, 000 x ( 1 + 9 % / 12 ) ^ ¹² ˣ ²⁰
= $ 53, 678. 16
If compounded annually, the value would be :
= 9, 000 x ( 1 + 9 % ) ²⁰
= $ 50, 439. 69
The difference is :
= 53, 678. 16 - 50, 439. 69
= $ 3, 238. 47
Find out more on investments at https://brainly.com/question/15201573
#SPJ1
During her presentation to a prospective customer, Lea informed the prospect about the superiority of the new wallboard she was selling. She also brought along a sample so that the building contractor could see and feel the superiority of the product. Lea used a __________ to improve the buyer's understanding of her product.
Lea used a tangible demonstration to ameliorate the buyer's understanding of her product.
By bringing along a sample of the new wallboard for the structure contractor to see and feel, Lea handed a palpable representation of the product's features and quality. This hands-on approach allows the prospective client to witness the superiority of the wallboard firsthand, which can enhance their understanding and perception of the product.
Palpable demonstrations are effective in showcasing the physical attributes, continuity, texture, or any other palpable aspects of a product that can not be completely conveyed through verbal descriptions alone. This approach can help make trust, credibility, and confidence in the product, making it more compelling and memorable for the buyer.
Learn more about quality;
https://brainly.com/question/13876752
#SPJ1
What is the volume of the pyramid?
please help w/ this nobody ever answers my questions on here. & if your really good at math could you help me w/ other math problems? please & thank you
Answer:
b = 4√6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is hypotenuseStep-by-step explanation:
Step 1: Identify
We have a right triangle, so we can use PT to solve for the missing side.
Step 2: Define
a = 2
b = ?
c = 10
Step 3: Find b
Substitute: 2² + b² = 10²Exponents: 4 + b² = 100Isolate b term: b² = 96Isolate b: b = √96Simplify: b = 4√64 A popular board game includes a five-section
spinner to determine the number of spaces a
player moves during a turn. The results of
10 spins are shown.
Spin
Spaces
Moved
1 2 3
F 0.1
G 0.6
5 4
4 5 6 7 8 9 10
2 5 1 3 5 4 5 2
What is the experimental probability a player
will move 2 spaces and 5 spaces during a
game?
H 0.08
J Not here
In an experiment, there is a H 0.08 probability that a player will move both two and five spaces during a game.
What is the simple definition of probability?Player movement during a turn is determined by a spinner. It displays the outcomes of 10 spins.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities. chances in multiples.
A (1): the probability that a particular occurrence will take place. (2): the proportion of the number of outcomes in a comprehensive set of equally likely options that result in a specific event to the total number of conceivable outcomes. How likely something is to occur is known as its probability. when we are unsure of how an event will turn out.
To learn more about probability refer to :
https://brainly.com/question/24756209
#SPJ1
Which image shows a translation?
The image which shows a translation is image B.
What is translation?A translation refers to a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Image B shows the translation of the figure from the first quadrant to the second quadrant in the same distance in the same direction.
Read more on translation:
https://brainly.com/question/12861087
#SPJ1
Answer:
MY answer got deleted but its B
Step-by-step explanation:
trust me, this isnt incomplete
A cyclist rides into the country at an average speed of 10 miles per hour. When his bike gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?
The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles
How do i determine the distance traveled?Let the total distance traveled into the country be y.
Now, we shall determine the riding time. Details below:
Speed = 10 mile per hourDistance traveled = yRiding time = ?Riding time = Distance / speed
Riding time = y / 10
Next, we shall obtain the walking time of the cyclist. This is shown below:
Speed = 3 mile per hourDistance traveled = yWalking time = ?Walking time = Distance / speed
Riding time = y / 3
Finally, we shall obtain the total distance traveled. This is illustrated below:
Riding time = y / 10Riding time = y / 3Total time = 6.5 hoursTotal distance = y =?Total time = riding time + walking time
6.5 = y/10 + y/3
6.5 = (3y + 10y) / 30
6.5 = 13y / 30
Cross multiply
13y = 6.5 × 30
13y = 195
Divide both sides by 13
y = 195 / 13
y = 15 miles
Thus, the total distance traveled by the cyclist into the country is 15 miles.
Learn more about distance travelled:
https://brainly.com/question/18265275
#SPJ1
Below is the table of values of a function. Write the output when the input is n.input469n+ローロoutput121827ロメロХ?
As you can see in the given data, each output is 3 times each input:
\(\begin{gathered} 3(4)=12 \\ 3(6)=18 \\ 3(9)=27 \end{gathered}\)Then
the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
X=57.
Step-by-step explanation:
Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.
........................................................................
Answer:
1
Step-by-step explanation:
Quiz #106 (8.2 & 8.3)
1. The length of the flag
pole's shadow is 36
inches. The woman is 60
inches tall and her
shadow is 12 inches.
BEM189
36
Not drawn to scale
c) Draw two triangles and explain how they
48-72
are similar.
Thy bith XS to
Hor Misant
由田田
60
48
On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.
what is trigonometry?
The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.
Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.
They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.
Let the pole's height be denoted by AB = h.
A pole's shadow will create the base BC.
Let the elevation angle be 9,
By the help of trigonometry
tan x = AB/BC
tan x = h/h = 1
x = tan^(-1)
x = 45
Hence, the angle elevation is 45
To learn more about Trigonometry from given link
https://brainly.com/question/20519838
#SPJ1
Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?
\(m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)\)
be alert m represents the MIDPOINT.
THE MIDPOINT IS (0,4)
Answer:
-1/7
Step-by-step explanation:
What is the domain of the relation below?
0 (-1,0, 1, 3)
O (-2,0,1,3)
O {-2, 1, 0, 1, 2, 3]
O {0, 1, 2, 3]
Pls help .!!
===================================================
Explanation:
To get the domain, list the x coordinate of each point shown.
The points on that graph are (-1, 1), (0, -2), (1, 3) and (3, 0). We see the x coordinates are: -1, 0, 1 and 3
Therefore, the domain is {-1, 0, 1, 3} which is choice A. The curly braces indicate we have a set of values. The domain is the set of all possible x inputs.
what do I do here???
Answer:
8 plus 8 then 4 plus 4 then add those, so your answer would be 24 cm
P(Music/Drama) round to the nearest percent
Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.
These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:
P = 25/100 = 25%.
More can be learned about probabilities at https://brainly.com/question/1439828
#SPJ1
What is the opposite of -4? *
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
i wonder if anyone is gonna see this
how ya'll doin
Answer:
I will respect him as I respect God
I don't want to judge it
coz Judge is a bubble gum
Which function is shown in the
graph below?
Answer:
Function 2
Step-by-step explanation:
From the graph the y intercept is 7. The only function that gives y = 7 when x = 0 is function 2.
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x²+6-9x
Answer:
x² - 9x + 6
Step-by-step explanation:
The polynomial in standard form is:
x² - 9x + 6
This is a quadratic polynomial because it has a degree of 2, and it has three terms.
2. Which of the following expressions is equivalent to 322?
01
08.1/1
032.2
08-2
Answer:
C. (32/4)*2
Step-by-step explanation:
C is the correct answer because when we divide 4/2 it equals 2.
Hope this helps!
Answer:
D
Step-by-step explanation:
Given expression:
\( \dfrac{32}{4} \times \dfrac{4}{2} \times 2 \)
Evaluation of the given expression:
\( = 8 \times 2 \times 2 \)
\( = 32 \)
A. \( \dfrac{32}{\frac{16}{4}} = \dfrac{32}{4} = 8 \)
B. \( 8 \times \dfrac{4}{2} = 8 \times 2 = 16 \)
C. \( \dfrac{32}{4} \times 2 = 8 \times 2 = 16 \)
D. \(8 \times \dfrac{4}{2} \times 2 = 8 \times 2 \times 2 = 32\)
Only expression D evaluates to the same value as the given expression.
Answer: D
Solve for the roots with solution thanks
27y² +81y = 0
Answer:
y= 0, -3
y(27y+81)=0
27y+81=0 y=0
27y= -81
y= -81/27
y= -3
Answer:
\(y=-3, y=0\)
Step-by-step explanation:
Write an equation that represents the line. use exact numbers.
Equation that represents the line is , x + y =1
General form of straight line:
ax+by+c = 0
here,
a is the coefficient of x,and it is a constant.
b is the coefficient of y,and it is a constant.
c is the constant term.
again,
a and b can never be zero together,one of the value either a or b can be zero,while c can be zero.
If c will be zero,straight line will pass through origin (0,0).
If a=0 then,
by+c =0
by = -c
y = -c/b,Represents a line parallel to X-axis.
If b=0 then,
ax +c = 0
ax =-c
x = -c/a, Represents a line parallel to Y-axis.
Now we have to write an equation that represents the line,
so,
x + y =1
To learn more about straight line visit:
https://brainly.com/question/29223887
#SPJ4
What is the best description of thermal energy?(1 point) Responses Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules. Thermal energy is a measure of an object or substance’s heat. Thermal energy is a measure of an object or substance’s heat. Thermal energy is kinetic energy. Thermal energy is kinetic energy. Thermal energy is the energy stored in an object’s chemical bonds. Thermal energy is the energy stored in an object’s chemical bonds.
Answer:
A. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Explanation:
Just took the Quick Check :)
The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
What is thermal energy?Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
It is a type of internal energy, which is the energy possessed by a system due to the movement and interactions of its constituent particles.
We have,
Thermal energy is a measure of an object or substance’s heat:
While thermal energy and heat are related, they are not exactly the same thing.
Heat is the transfer of thermal energy between objects or substances due to a temperature difference.
Thermal energy, on the other hand, is the energy contained in an object or substance due to the movement of its particles.
Thermal energy is kinetic energy:
While thermal energy is related to kinetic energy, they are not exactly the same thing.
Kinetic energy is the energy of motion, while thermal energy specifically refers to the kinetic energy of an object's particles.
Thermal energy is the energy stored in an object’s chemical bonds:
While chemical bonds do store energy, this is not the best description of thermal energy.
Thermal energy specifically refers to the energy stored in the movement of an object's particles.
Therefore,
The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Learn more about thermal energy here:
https://brainly.com/question/21389403
#SPJ2
easy points for fun whats 9 times 9
Answer:
81
Step-by-step explanation:
Find the area of a sector of a circle with radius 7 cm and and central angle 240°.
Answer:
103 cm^2
i just took the quick check
Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by the following sequence:
112, 162, 212, 262....
Which statement is true?
A. The cost can be represented by the explicit formula an = 112 + 50(n = 1).
B. The cost can be represented by the recursive formula an = an-1 - 50.
C. The cost can be represented by the explicit formula an = 50 + 112(n - 1).
D. The cost can be represented by the recursive formula an-1 + 112.
plz help mee!!
Answer:
A
Step-by-step explanation:
go by the equation: a n= a n 1 + (n-1)
so fill that in & you get a n = 112+50(n-1)
find the number of outcomes in the complement of the given event. out of 344 high school students in their senior year, 175 are left-handed.
There are 169 outcomes in the complement of the given event.
To find the number of outcomes in the complement of the given event, which is that out of 344 high school students in their senior year, 175 are left-handed, you need to follow a few steps. So, let's get started. To find the number of outcomes in the complement of the given event, you will first find the total number of students that are right-handed, which can be found by subtracting the number of left-handed students from the total number of students:344 - 175 = 169Therefore, there are 169 right-handed students.
Next, to find the number of outcomes in the complement of the given event, you will need to subtract the number of outcomes in the given event from the total number of possible outcomes. Since the number of possible outcomes is equal to the total number of students, the number of outcomes in the complement of the given event can be found by subtracting the number of left-handed students from the total number of students:344 - 175 = 169 Therefore, there are 169 outcomes in the complement of the given event.
Learn more about Complement
brainly.com/question/13058328
#SPJ11
How do you find the angle of a slope?
The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.
What is the angle of the slope?The angle of slope shows the departure of your climb from the idealistic flat surface of the course (remember, it's an idealized flat surface that ignores elevation change). In order to figure this out, divide the increase by the run and then find the inverse tangent of the outcome.The angle between a horizontal plane and a specific location on the land surface is known as the slope angle (degree).The term "slope" describes the incline's angle or grade. You might have an upward or downhill slope. The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.To learn more about angle of slope refer,
https://brainly.com/question/28882561
#SPJ4
the raw score on a certain standarized test is determined by subtracting1/4 of the number of incorrect answers
The number of incorrect answers is 8.
What is a linear equation?linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Let,
number correct of answer = x
number of incorrect answer = y
Given that,
Total number of answer x+y = 30 ......(1)
Total score = x-\(\frac{1}{4}\)y = 20 .......(2)
In equation (2) multiply by -1 on both side.
-x+\(\frac{1}{4}\)y = -20 .......(3)
Now,
Adding both the equation (1) and (3)
x+y-x+\(\frac{1}{4}\)y = 30-20
\(\frac{5}{4} y\) = 10
y = 8
Hence, The number of incorrect answers is 8.
To learn more about linear equation from the given link:
https://brainly.com/question/2226590
#SPJ4
The tallest building in Bakersfield is the Stockdale Tower with a height of 176
feet. While on a field trip to the tower, Ngurice accidentally drops his milk
carton off the top of the tower. We can use the function h (t) = 176 – 572 to
estimate the height of the milk carton h after t seconds. How high is the milk
carton after 4 seconds? (Just type the number).
Answer: -396
Step-by-step explanation: 176 - 572 = -396