Answers
The function f(x) = (x² - 4)/x is increasing over it's entire domain as the derivative is always positive.
How to prove that the function increases over it's entire domain?The function for this problem is defined as follows:
f(x) = (x² - 4)/x.
Applying the quotient rule, the derivative of the function is given as follows:
f'(x) = [2x(x) - (x² - 4)]/x²;
f'(x) = [2x² - x² + 4]/x²;
f'(x) = (x² + 4)/x²;
We have a quotient in which both terms are always positive(x² is always positive, and so is x² + 4), hence the derivative is always positive and the function is increasing over it's entire domain.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Related Questions
Is this right please help now ASAPppp
Answers
Answer: Pretty much correct except one thing is wrong.
Step-by-step explanation:
In place of CB you should write AB because the sides doesn't match when you flip the triangle CED.
Hope it helps!
Explanation
We see one angle has two sides 21 and 27
One triangle has two sides 14 and 18
We see vertical angles connect the two, those angles are congruent
Ratio of sides 21:27 = 7:9
Ratio of sides 14:18 = 7:9
So we know
14/21 = 18/27
Or
CE/CB = DC/AC
From this we see the 2nd triangle is a double reflection
It helps me to see congruent sides and the vertices by drawing congruencies on the triangles as I attached
PLEASE MMAYBE EASY QvQ
Answers
Answer:
D. [tex]56.25 mm^{2}[/tex]
Step-by-step explanation:
A = [tex]\frac{A + 2}{2}[/tex]h =
[tex]\frac{16 + 9}{2}[/tex]x4.5
Thus,
=56.25
Option D.
how do you solve trigonometry word problems when you aren't given a drawing/image?
Answers
To do trigonometry, you need to have a clear understanding of triangles and the relationships between their sides and angles. To do trigonometry without images or diagram, let's go straight to the explanation below.
Solving trigonometry without imagesWhen solving trigonometry word problems without a drawing/image, the following steps can be helpful:
Read the problem carefully and identify the known and unknown quantities.Determine which trigonometric function (sine, cosine, or tangent) can be used to solve the problem, based on the information given.Use the definition of the chosen trigonometric function to write an equation relating the known and unknown quantities.Solve the equation for the unknown quantity.Check your answer by verifying if it makes sense in the context of the problem.It is important to note that in order to use trigonometry, you need to have a clear understanding of triangles and the relationships between their sides and angles.
Learn more on trigonometry here https://brainly.com/question/13729598
#SPJ1
grace read 1/3 of a book in the morning some at night and by the end of the day she still had 2/5 left how much did she read at night
Answers
Grace read 4/7 of the book at night.
To solve this problem, we need to use the fractions to calculate the amount of the book that Grace read in the morning and the amount of the book that she read at night.
The total amount of the book that Grace read in the day is 1/3 + 2/5 = 7/15.
Since she read 1/3 of the book in the morning, then the amount of the book that she read at night is 7/15 - 1/3 = 4/15.
To calculate the amount of the book that she read at night as a fraction of the total book, we need to divide 4/15 by 7/15.
4/15 ÷ 7/15 = 4/7
Therefore, Grace read 4/7 of the book at night.
Learn more about fraction here:
https://brainly.com/question/24638688
#SPJ4
5. A regular hexagon is a six-sided figure with congruent sides and
congruent angles. A regular hexagon can be composed of six equilateral
triangles. Write and solve an equation to determine the value of x on the
regular hexagon shown. Then determine the sum of the six interior angles
of a regular hexagon.
I need this answer ASAP
Answers
The sum of the interior angles of a regular hexagon is S = 720° and each angle of the regular hexagon x = 120°
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the sum of the interior angles of the hexagon be S
Now , the number of sides for a hexagon = 6
And ,Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
Substituting the values in the equation , we get
6θ = 180 ( 6 - 2 )
On simplifying the equation , we get
6θ = 180 x 4
6θ = 720°
Therefore , the sum of angles is 720°
And , the value of x = 720 / 6 = 120°
Hence , the sum of interior angles of hexagon is 720°
To learn more about sum of interior angles of polygon click :
https://brainly.com/question/14611583
#SPJ1
You want to buy a pet hamster that costs $42. You already have $15 and plan to save $8 per week. If w represents the number of weeks until you have enough money to buy the hamster, what equation represents your plan to afford the hamster.
I need help I can't think of what the equation would be!
Answers
Answer: 42 = 8w + 15
Step-by-step explanation:
Need some help please
Answers
Hope this helps!
Answer:
10x+15y-10
Step-by-step explanation:
5(2x+3y-2)
=10x+15y-10
Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: V-8 sedan
Year driven: third
Miles driven: 10,000
In dollars and cents the depreciation for this vehicle using method 2 will be $
.
Answers
The repairs and maintenance charges for this vehicle are 207 dollars and 0 cents.
What is the meaning of an operating cost?Operating costs are continuous expenses paid as a result of the usual day-to-day operations of an organization. Operating costs comprise both the cost of goods sold and additional operating expenditures, which are sometimes referred to as selling, general, and administrative costs.
here, we have,
From the data provided in the table, we can deduce the repair and maintenance charges of the vehicle.
The name of Car 8 implies that they are talking about Version V-8 of the Sedan Car.
Year-driven third implies the third year which alludes to the 6th column of the table.
Number of miles driven = 9000
From the repair and maintenance cents per mile in the table:
The total cost for this service = number of miles driven × repair and maintenance cost
The total cost for this service = 9000 × 2.3
The total cost for this service = 20700 cents
The total cost for this service in dollars and cents
= $207.00
The total cost for this service is 207 dollars and 0 cents.
Learn more about operation costs here:
brainly.com/question/14697297
#SPJ1
In the figure alongside, ZABC = ZACP. Prove that AABC-AAPC and find the lengths of AB and PB.
Answers
From the given triangle, the lengths of AB and PB becomes: 9 cm and 4 cm respectively.
What is a triangle?Tri-, which means "three," and angulus, which means "angle or corner," are the origins of the Latin word triangulus, which means "three-cornered" or "having three angles." A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. 180 degrees is the summation of the triangle's three angles.
In ΔAPC and ΔABC
∠ABC = ∠ACP and ∠BAC = ∠CAP
∴ ΔABC ≅ ΔACP
Because ∠ABC = ∠ACP, thus ∠A = ∠A, so, ∠ABC = ∠ACP
As, ΔABC ≅ ΔACP
∴ AB = BC = AC = CP (the corresponding sides of a similar triangle are proportional)
∵ BC = 12, AC = 6, CP = 8
∴ AB = (6/8) × 12
or, AB = 9 cm
as, ΔABC ≅ ΔACP
∴ AP : AC = AC : AB
or, AP = (6/9) × 6
or, AP = 4 cm
next, PB = AB - AP
PB = 9 - 4 cm
PB = 5 cm
Thus, the lengths of AB and PB becomes: 9 cm and 4 cm respectively.
To know more about triangle refer to:
https://brainly.com/question/1058720
#SPJ1
The complete question is as follows:
A social media website had 500,000 followers in 2012. The number y of followers increases by 19% each
year.
a. Write a function that represents the number of followers t years after 2012.
b. How many people will be following the website in 2019? Round your answer to the nearest thousand
Answers
Function representing number of followers for different situation are:
a. Number of followers in 't' years N = 500,000 ( 1 + 19/100 )^t.
b. Number of people following in 2019 are 1,690,000 ( nearest thousand )
Total number of followers of social media website in 2012 = 500,000
Followers increases by 19% every year.
let 'N' represents the number of followers.
a. Function to represents the number of follower in 't' years after 2012 is:
N = 500,000 ( 1 + 19/100 )^t
b. Number of people following website in 2019 is:
t = 2019 -2012
= 7
N = 500,000 ( 1 + 19/100 )^7
⇒ N = 500,000 ( 1.19 )^7
⇒ N = 500,000 × 3.379
⇒ N= 1689657.7
⇒ N = 1,690,000 ( nearest thousand )
Therefore, the number of followers represented for different condition are:
a. Function to represent number of followers in 't' years is
N = 500,000 ( 1 + 19/100 )^t
b. Number of followers in 2019 are 1,690,000 ( nearest thousand )
Learn more about function here
brainly.com/question/12431044
#SPJ4
we are interested in the choices of majors of this year's entering freshmen at our university. we randomly survey 10% of them. (a) what is the population? (b) what is the sample? (c) what is the parameter? (d) what is the statistic?
Answers
According to the random survey, the majors chosen by the freshmen of our university were:
(a) The population is the entering freshmen at the university. (b) The sample is the 10% of the entering freshmen who are randomly surveyed. (c) The parameter is the proportion of entering freshmen who choose a major. (d) The statistic is the proportion of surveyed freshmen who choose a major.To get a better understanding of the proportions of students choosing certain majors, universities can survey a sample of their entering freshmen. This survey should be representative of the population, so it should be conducted using a randomized sampling technique.
The survey should ask questions about the major the student is planning on pursuing and other relevant information, such as the student's interests and motivations.
Learn more about Statistics and Probability:
https://brainly.com/question/10734660
#SPJ4
The water level in a tank measures 15 inches and is decreasing 0. 5 inches every minute. How many minutes, x, will it take for the water level to measure 9 inches deep?
Answers
The water level in the tank will take x = 30 minutes to decrease from 15 inches to 9 inches deep. It will take 6 minutes for the water level to decrease by 0.5 inches.
The water level in the tank is currently 15 inches deep and is decreasing by 0.5 inches every minute. In order to determine how many minutes, x, it will take for the water level to measure 9 inches deep, we will need to calculate the difference between the current water level and the desired water level. To do this, we need to subtract 9 inches from 15 inches, and this will give us a difference of 6 inches. Now, since the water level is decreasing by 0.5 inches per minute, we need to divide 6 inches by 0.5 inches, which will give us 12 minutes. Since 12 minutes is equal to 2 intervals of 6 minutes, the water level will take x = 30 minutes to decrease from 15 inches to 9 inches deep.
Learn more about minute here
https://brainly.com/question/13624026
#SPJ4
in a bacteria growing experiment, a biologist observes that the number of bacteria in a certain culture triples every 4 hourse. after 12 hours, it is estimated that there are 1 million bacteria in the culture. what is the doubling time for the population?
Answers
The bacteria's population increases exponentially, and its equation is
P(t) = P[tex]_{0}[/tex]e[tex]^{kt}[/tex]
Where,
P[tex]_{o}[/tex] is the initial population t is the number of hours.
k is the growth rate.
It is given that the population of the bacteria after one hour triples itself. i.e
P(1)=3P[tex]_{o}[/tex]
3P[tex]_{o}[/tex]=Pe[tex]k^{(l)}[/tex]
3=e[tex]^{k}[/tex]
In 3 = In e[tex]^{k}[/tex]
In 3=k ln e
In 3 = k(1)
k = ln (3)
Thus, the rate of growth is k= ln (3)
Substitute k = ln (3) in the equation P(t) = P[tex]_{o}[/tex]e[tex]^{kt}[/tex].
P(t) = P[tex]_{o}[/tex]e[tex]tln^{(3)}[/tex]
It is given that there are 1 million bacteria after 5 hours. i.e. P(5)=10,00,000
P(5) = P[tex]_{o}[/tex]e[tex]^{(5)} ln^{(3)}[/tex]
10,00,000 Pe[tex]^{(5)}ln^{(3)}[/tex]
10,00,000 = P[tex]_{o}[/tex]e[tex]ln^{(3)^{5} }[/tex]
10,00,000 = P[tex]_{o}[/tex][tex](3)^{5}[/tex]
P[tex]_{o}[/tex] = 10,00,000 / [tex]3^{5}[/tex]
P[tex]_{o}[/tex] = 10,00,000 / 243
Thus, the formula for any t is P(t) = (10,00,000 / 243) e[tex]ln^{(3)^{t} }[/tex]
Find the doubling time for the bacteria population.
Let X= 10,00,000 / 243 then the equation for the doubling time for the bacteria is
2X = Xe[tex]ln^{(3)t[/tex]
2 = e[tex]ln^{(3)t}[/tex]
t= ln (2) / ln (3) ≈ 0.63094 hours
Or t=37.8564 minutes.
Learn more about Bacteria here:
https://brainly.com/question/8008968
#SPJ4
An integer is 3 less than 5 times another. if the product of the two integers is 36 what are the integers?
Answers
Answer:
123Step-by-step explanation:
You want two integers with a product of 36 such that one is 3 less than 5 times the other.
SetupLet x be "the other" integer. Then one is (5x-3), and the product is ...
x(5x -3) = 36
Solution5x² -3x = 36 . . . . . . eliminate parentheses
x² -0.6x = 7.2 . . . . . . . divide by 5
x -0.6x +0.09 = 7.29 . . . . . add (0.6/2)² to complete the square
(x -0.3)² = 7.29
x = 0.3 +√7.29 = 0.3 +2.7 = 3
5x -3 = 5·3 -3 = 12
The two integers are 12 and 3.
What is the gradient and y intercept
Answers
Answer:
Step-by-step explanation:How do you find the gradient and y-intercept?The equation y = mx + c is the general equation of any straight line where m is the
Hector wants to send a parcel to Spain.
His parcel is a cuboid with dimensions 10 cm, 10 cm and 40 cm.
10 cm
10 cm
He looks at the prices of two companies,
WeGoFast and ParcelsFly.
Not drawn
to scale
WeGoFast
Total cost: Sum, in cm, of the 3 dimensions * £1. 20F
GXF420 Find the cost of sending the
parcel with each company.
Give each of your answers
Parcels Fly
in pounds (£).
Total cost: Volume measured in cm' * £0. 02
Answers
The cost for sending the parcel with each company is £72 via WeGoFast and £80 by ParcelsFly.
In product, exploration, retail, and account, a cost is the value of plutocrat that has been used up to produce commodity or deliver a service, and hence isn't available for use presently. In business, the cost may be one of accession.
Hector needs the parcel to be send.
Dimension for his cuboid parcel is given by 10 cm by 10 cm by 40 cm.
10cm x 10cm x 40cm
Sum of the three dimension in cm
= (10 + 10 + 40) cm
= 60 cm.
Volume of the parcel in = (10 × 10 × 40) = 4000 cm³
Price charge by WeGoFast
= Sum of the three dimensions in cm × £1.20
= £ (60 × 1.20) = £72.
Price charged by ParcelsFly
= Volume measured in × £0.02
= £ (4000 × 0.02) = £80
Therefore, The cost of sending the parcel with each company is £72 by WeGoFast and £80 by ParcelsFly.
Learn more about Parcel problems:
https://brainly.com/question/15276960
#SPJ4
ra 1 Y. Write exponential functions: word problems LZW
Mr. Olsen, the owner of Trading Card Depot, purchased a rare baseball card valued at $98.70.
He expects the card's value to double each year.
Write an exponential equation in the form y = a(b)* that can model the card's value, y, in
dollars, x years after Mr. Olsen purchased it.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y = 98.70()
0
O
O
Submit
(
What can Mr. Olsen expect the card's value to be 5 years after he purchased it?
M
31
D
●
Answers
Answer:
Here's the exponential equation to model the card's value:
y = 98.70 * 2^x
where x is the number of years after Mr. Olsen purchased the card.
To find the value of the card after 5 years:
x = 5
y = 98.70 * 2^5 = 98.70 * 32 = $3162.40
So, Mr. Olsen can expect the card's value to be $3162.40 5 years after he purchased it.
Step-by-step explanation:
Answer:
Step-by-step explanation:
m
Grace rakes led s every day for one week. She fills the same number of bags with leaves o each of the 5 weekdays. She fills 11 bags over the weekend. At the end of the week, Grace has filled a totallof 26 bags. She wants to know how many bags she filled each weekday.
bags filled on weekdays + bags filled on weekend = total bags filled
Let b equal the number of bags Grace filled each weekday.
5b + 11 = 26
How many bags of leaves did Grace fill each weekday?
Answers
Answer:
3 bags of leaves each weekday
Step-by-step explanation:
5b + 11 = 26
Subtract 11 from both sides.
5b = 15
Divide 5 on both sides.
b = 3
Grace filled 3 bags of leaves each weekday.
A circle has a radius of 4 centimeters. Find the area of the sector of the circle formed by an angle of 55°. If necessary, round the answer to two decimal places.
Select one:
Answers
Answer:
2.44π cm²
or
7.68 cm²
Since the choices are not shown, I do not know whether the choices are in terms of π or totally numeric Choose one of the two above. They are both the same value
Step-by-step explanation:
Area of a circle of radius r is A = πr²
An entire circle encompasses 360°
If a sector of the circle has an angle of Фat the center, the area of the sector is Ф/360 x πr²
Given r = 4 and Ф = 55°
Area of this sector = 55/360 x π (4)² = 55/360 x 16 x π = 2.44π
2.44π = 7.68 cm²
Select all the equations where x=3 is a solution.
Answers
Answer: 2,4,6
Step-by-step explanation: All of these have x=3 as a solution.
Answer:
Step-by-step explanation:
6=2x
x^2=9
x-3=0
Classify each statement about the function f(x)=2x3+8 as true or false.
The domain of the function is all real numbers.
The range of the function is (0, ∞).
The y-intercept is (0, 0).
The center of symmetry is (0, 8).
Answers
Answer:
The answer to the classification of the statements is:
1.True
2.False
3.False
4.True
Answer:
True
False
False
True
Step-by-step explanation:
find median of each of the following distributions
Answers
B-median is 1
C-median is 5
D-median is 20
The regression line for this data set has a slope close to m = , and the correlation coefficient is close to. Based on this information, we can conclude that employees' annual earnings are to their tenure. Employee earnings tenure
Answers
1) The slope of the regression line is 35
2) The correlation coefficient is 0.95
3) Employees’ annual earnings are strongly related to their tenure
4) Employee earnings increase with tenure.
The slope of the regression line in this data set is close to 35. In order to determine the slope, two points must be identified that are either on or near the line.
We have the following two points;
(1, 175) and (2.5, 225)
slope = (change in y) / (change in x)
= (225-175)/(2.5-1) = 33.33
This is close to 35.
2) The correlation coefficient of the annual earnings and tenures of employees at Stan & Earl Corp is almost 0.95. This value, known as the coefficient of correlation, shows the level of connection between two variables and the direction of their linear relationship. The scatter-plot demonstrates a strong positive relationship between the employees' annual earnings and their tenure.
Hence the correlation coefficient is close to 0.95.
3) The data suggests a strong connection between an employee's annual earnings and their tenure. The correlation coefficient was estimated to be close to 0.95, which represents a significant positive relationship between the two variables. As a result, it can be concluded that there is a clear relationship between an employee's annual earnings and the length of time they have been with the company.
4) As employees' tenure with the company increases, their annual earnings also increase. This can be deduced from the slope of the regression line which was calculated to be close to 35, indicating a positive relationship between the two variables. The positive correlation coefficient supports this
Learn more about graphs here brainly.com/question/10712002
#SPJ4
The regression line for this data set has a slope close to m = (5.5,35,-50,-2.5) , and the correlation coefficient is close to (0.20,0.40,0.75,0.95) .
Based on this information, we can conclude that employees’ annual earnings are (strongly related, moderately related, weakly related, not related) to their tenure. Employee earnings (increase with, decrease with, are not affected by) tenure.
What does the ordered pair (5,200) represent in this situation
Answers
The ordered pair (5,200) represent in this situation is a straight line passing through y = 20x.
Having zero width and extending on all sides, a line is a geometry object. An unbent line is, to put it simply, a straight line. A straight line is one that doesn't curve and extends indefinitely on both sides.
We have ordered pair (5,200),
x = 5
so y = 200
so y = 5 x 40
so we have y = 40x
This is a straight line passing through the origin on the point (5,200), through any point.
An ordered pair consists of two items. Because the ordered pair differs from the ordered pair unless a = b, the order of the objects in the pair is important. Other names for ordered pairs include 2-tuples and 2-length sequences.
Learn more about Ordered pair:
https://brainly.com/question/21159080
#SPJ4
Complete question:
What does the ordered pair (5, 200) represent in this situation?
after a long period of time, you observe the chain and see that it is in state 1. what is the conditional probability that the previous state was state 2?
Answers
The conditional probability that the previous state was state 2 given that the chain is currently in state 1 is equal to the probability of transitioning from state 2 to state 1.
The conditional probability of transitioning from one state to another in a Markov Chain is dependent on the transition probabilities between the states. In this case, the conditional probability of transitioning from state 2 to state 1 is equal to the probability of transitioning from state 2 to state 1. This probability can be determined by looking at the transition matrix of the Markov Chain. The transition matrix specifies the probability of transitioning from one state to another. Therefore, the conditional probability of transitioning from state 2 to state 1 given that the chain is currently in state 1, is equal to the probability of transitioning from state 2 to state 1 as specified in the transition matrix.
Learn more about probability here
https://brainly.com/question/30034780
#SPJ4
A wall has paneling made up of rectangles, with an area of 30 square feet each. There are four rectangles along the height and three along the top. The edge of each rectangle in the paneling is (2x+3) feet in width and (4x+2) feet in height. What is the value of x?
What are the dimensions of the wall covered the paneling
Answers
The value of 'x' is 1. The height of the wall is 24 feet and the width of the wall is 15 feet.
Finding dimensions of wall:To find the dimensions of the wall find the dimensions of the rectangles given in the figure. Calculate the area of the rectangle and factorize the resultant equation for the value of 'x'. Calculate the dimensions of the wall by using the number of panels along the height and top.
Here we have
A wall has paneling made up of rectangles
Area of the rectangle = 30 square feet
Given that the edge of each rectangle in the paneling is (2x+3) feet in width and (4x+2) feet in height.
Area of the rectangle = (2x + 3)(4x +2) = [ 8x²+ 16x + 6 ]
Given that area of the rectangle = 30 ft²
=> 8x²+ 16x + 6 = 30
=> 8x²+ 16x - 24 = 0
=> x² + 2x - 3 = 0
=> x² + 3x - x - 3 = 0
=> x(x + 3) - (x + 3) = 0
=> (x + 3) (x - 1) = 0
=> x = -3 and x = 1
We need to x = 1 [ since height can't be taken in negative ]
Dimensions of the rectangle,
Width, 2x + 3 = 2(1) + 3 = 5 feet
Height, 4x + 2 = 4(1) + 2 = 6 feet
Given that there are 4 rectangles along the height
Height of the wall = 4 × 6 = 24 feet
There are 3 rectangles along the top.
Width of the wall = 3 × 5 = 15 feet
Therefore,
The value of 'x' is 1. The height of the wall is 24 feet and the width of the wall is 15 feet.
Learn more about Dimensions of wall at
https://brainly.com/question/28464771
#SPJ1
A total of
330
330 children and adults attended a school play. There were
21
21 times as many children in attendance as there were adults.
This situation is modeled by the given system of equations, where a represents the number of adults and c represents the number of children.
Answers
As a result, 315 pupils attended the school play.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
The first equation in the system is given by the total number of attendees:
c + a = 330
The second equation is given by the number of children being 21 times the number of adults:
c = 21a
We can use substitution to find the value of a and then find the value of c. Substituting the second equation into the first equation, we get:
21a + a = 330
Combining the two terms on the left-hand side, we have:
22a = 330
Dividing both sides by 22, we have:
a = 15
So there were 15 adults in attendance at the school play. To find the number of children, we can use the second equation:
c = 21a = 21 * 15 = 315
So there were 315 children in attendance at the school play.
To know more about equation,
https://brainly.com/question/2228446
#SPJ4
What is the value of the reciprocal of 0.8 ?
Answers
Answer:
⁵/₄ or 1.25
Step-by-step explanation:
Firstly, represent the number as a fraction:
0.8 = ⁸/₁₀ = ⁴/₅
Then, simply flip the top and bottom:
The reciprocal of ⁴/₅ is ⁵/₄
⁵/₄ = 1.25
Chris says that he can find the surface area faster by
thinking of the box as a triangular prism on top of a
rectangular prism. He finds the surface area of each one
and adds them together. Does his method make sense?
Answers
Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.
What is Surface area?
The surface area of a solid item is a measurement of the total area occupied by the object's surface.
Yes, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism makes sense.
A box can be thought of as a combination of a triangular prism and a rectangular prism because a box is made up of six faces, with three rectangular faces and three triangular faces. By finding the surface area of the triangular prism and the rectangular prism separately, and then adding them together, one can find the total surface area of the box.
This method can make finding the surface area of a box faster and easier because one can use formulas that are specifically designed for finding the surface area of triangular prisms and rectangular prisms. By breaking down the box into its constituent parts, one can simplify the calculation and avoid having to use a more complex formula for finding the surface area of a box.
In summary, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.
To know more about Surface area visit,
https://brainly.com/question/16519513
#SPJ4
how much will the optimal solution increase if the limit of the second constraint is increased by 10?
Answers
The optimal solution amount will increase by the amount that the additional 10 units of the second constraint can be used to benefit the overall solution.
The optimal solution amount will increase with the addition of 10 units to the second constraint. This is because the additional 10 units can be used to benefit the overall solution by providing more of the resources that are necessary to reach the optimal solution. For example, if the second constraint is a limit on the amount of a certain resource that can be used, then the additional 10 units can be used to increase the amount of resources available, which can lead to a better overall solution. In addition, the additional 10 units can also be used to increase the efficiency of the solution, by allowing the solution to use the same amount of resources more efficiently.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4