Answer:
The team was penalized 10 yards on each play.
what is the surface area of the cone?
The surface area of the cone is 48π square centimeters (or approximately 150.8 square centimeters if we use a decimal approximation for π).
How to find cone's surface area?Calculating a cone's surface area is as follows:
[tex]\mathrm{SA = \pi r\² + \pi r \boldsumbol l }[/tex]
where l is the cone's slant height and r is the base's radius.
The radius and slant height in this instance are 4 cm and 8 cm, respectively. Therefore:
[tex]SA = \pi (4\²) + \pi (4)(8) \s= 16 \pi + 32 \pi \s= 48 \pi[/tex]
Hence, the cone's surface area is 48 square centimetres (or around 150.8 square centimetres if we round to the nearest decimal).
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two bakers make 30 loaves of bread every morning. assume all bakers work at the same rate. suppose two bakers make 30 loaves in one hour. how many hours would 3,5,6 and 15 bakers need to make 30 loaves.
Answer:
Step-by-step explanation:
If two bakers can make 30 loaves in 1 hour, then we can use proportionality to find how many hours it would take for 3, 5, 6, and 15 bakers to make 30 loaves.
Let h be the number of hours needed for a given number of bakers to make 30 loaves. Then we have:
2 bakers can make 30 loaves in 1 hour, so 1 baker can make 15 loaves in 1 hour.
Therefore:
3 bakers can make 45 loaves in h hours, so 45/3 = 15 loaves can be made in 1 hour. Thus, 3 bakers can make 30 loaves in 2 hours.
5 bakers can make 75 loaves in h hours, so 75/5 = 15 loaves can be made in 1 hour. Thus, 5 bakers can make 30 loaves in 2 hours.
6 bakers can make 90 loaves in h hours, so 90/6 = 15 loaves can be made in 1 hour. Thus, 6 bakers can make 30 loaves in 2 hours.
15 bakers can make 225 loaves in h hours, so 225/15 = 15 loaves can be made in 1 hour. Thus, 15 bakers can make 30 loaves in 2 hours.
Therefore, regardless of the number of bakers, it would take 2 hours to make 30 loaves of bread.
PLEASE HELP ME ON QUESTION D. THE answer is not Kite.
Which expressions describe the area of the shaded region? Select all that apply.
The expression that describe the area of the shaded part is 1/3 × 1/2 (optionD)
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.
therefore the area of the shaded part is l× w
On the vertical row 3 boxes are shaded out of 6
and on the horizontal 3 are shaded out of 9 boxes
A = 3/6 × 3/9
A = 1/2 × 1/3
therefore the area of the shaded part = 1/3 × 1/2
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What are the domain and range of the function f(x)= x^4-2x^2-4? domain: all real numbers range: all real numbers greater than or equal to –5 domain: all real numbers range: all real numbers greater than or equal to –4 domain: all real numbers between –2.5 and 2.5 range: all real numbers domain: all real numbers between –2.5 and 2.5 range: all real numbers greater than or equal to –5
Answer:
The correct answer is: domain: all real numbers, range: all real numbers greater than or equal to -5.
We can see that the function is a polynomial of degree 4, which means it is defined for all real numbers. Also, as x^4 is always non-negative, the minimum value of the function occurs when x=0, and it is f(0) = -4. Therefore, the range of the function is all real numbers greater than or equal to -4. However, since the function is increasing as we move away from 0, the range is actually all real numbers greater than or equal to the minimum value of -4 plus the vertical shift of -1, which is -5.
Thabo is x years old and Lizzie is y years old. Write down algebraic expression for: Thabo's age in 6 year's time
The algebraic expression for Thabo is, Thabo's age in 6 years' time is x + 6.
What are the types of algebraic expression?There are three primary categories of algebraic expressions, including:
Numeral Expression. Binary Expression. Expression of a Polynomial
Monomial Expression: A monomial is an algebraic expression that only has one term.
Monomial expressions include 3x4, 3xy, 3x, 8y, etc. as examples.
A binomial expression is an algebraic expression with two terms that are opposite each other.
Binomial examples are 5xy + 8; xyz + x3; etc.
Polynomial Expression: In general, a polynomial expression is one that has several terms with non-negative integral exponents of a variable.
Given that, Thabo is x years old and Lizzie is y years old.
In 6 years, Thabo's age will be:
x + 6
Hence, Thabo's age in 6 years' time is x + 6.
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Quincy has a jewelry business in which he designs and sells bracelets. His daily profit, Q(x), can be modeled by the function Q(x) = 7.25x − 36.25, where x is the number of bracelets he sells. What is the value of Q(5), and what is its interpretation?
Q(5) = 0; If Quincy sells 0 bracelets, he will earn $5.
Q(5) = 0; If Quincy sells 5 bracelets, he will earn $0.
Q(5) = 5.69; If Quincy sells 5.69 bracelets, he will earn $5.
Q(5) = 5.69; If Quincy sells 5 bracelets, he will earn $5.69.
The function Q(x) = 7.25x 36.25 can be used to model daily profit, Q(x), making none of the proposed answers suitable.
what is function ?A function in mathematics is a relationship between a domain—a set of possible inputs—and a range—a set of potential outputs—with the property that each input is linked to precisely one output. Frequently, a mathematical expression, equation, or formula will be used to describe a function. They are a fundamental idea in calculus, algebra, and other branches of mathematics, used to explain how one quantity relies on another.
given
Let Q(x) = 7.25x 36.25 be a model for his daily earnings, where x is the quantity of bracelets he sells.
Q(5) = 23.5, which indicates that Quincy will make $23.50 if he sells 5 wristbands today.
The function Q(x) = 7.25x 36.25 can be used to model daily profit, Q(x), making none of the proposed answers suitable.
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Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121
seconds. Who finished first? (Remember, the person with the lowest time finishes first.) show work
Answer:
To compare the times of Paul and Jeff, we need to convert Paul's time to seconds.
Paul's time = 2 minutes 2 seconds = (2 x 60) + 2 = 122 seconds
Now we can compare their times:
Paul's time: 122 seconds
Jeff's time: 121 seconds
Jeff finished first since he has the lowest time.
Answer: To compare the times of Paul and Jeff, we need to convert Paul's time to seconds:
2 minutes and 2 seconds = 2 × 60 seconds + 2 seconds = 122 seconds
Now we can compare their times:
Paul finished in 122 seconds
Jeff finished in 121 seconds
Since Jeff's time is lower than Paul's time, Jeff finished first.
Step-by-step explanation:
What would the answer to this question be?
Answer:144
Step-by-step explanation:
Answer:144
Step-by-step explanation:
a worker earned #80 per hour for a 38 hour week in a company. the company pays overtime at a time and a half. in a week he earned #3640. find the total numbers of hours he worked that week?
The worker worked 38 + 5 = 43 hours that week.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's break this problem down into two parts.
Part 1: Calculating the base pay for the 38 hours worked
The worker earned #80 per hour for a 38-hour week, so the base pay for those 38 hours would be:
Base pay = #80/hour x 38 hours = #3040
Part 2: Calculating the overtime pay for the additional hours worked
To find out how many hours were worked beyond the 38-hour week, we can use the fact that the total pay for the week was #3640. We know that the base pay for 38 hours was #3040, so the remaining #600 must be the overtime pay.
Since the company pays overtime at a time and a half, we can use this to find out how many hours were worked beyond the 38-hour week:
Overtime pay = (#80/hour x 1.5) x (number of overtime hours)
We can rearrange this equation to solve for the number of overtime hours:
Number of overtime hours = Overtime pay / (#80/hour x 1.5)
Number of overtime hours = #600 / (#80/hour x 1.5) = 5
Therefore, the worker worked 38 + 5 = 43 hours that week.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The solution of the equation is x = -0.21 and x = -1.79 and the steps used are from the quadratic formula.
What is quadratic formula?The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic problem. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.
Given that, the equation is:
8x² + 16x + 3
The steps that could be used to solve the following equation are:
The quadratic formula is given as:
-b ± √b² - 4ac / 2a
Substitute the values:
x = -16 ± √(16)² - 4(8)(3) / 2(8)
x = -16 ± √256 - 96 / 16
x = - 16 ± 12.64 / 16
x = - 16 + 12.64/16 and x = - 16 - 12.64 / 16
x = -0.21 and x = -1.79
Hence, the solution of the equation is x = -0.21 and x = -1.79 and the steps used are from the quadratic formula.
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HELPP! ITS DUE TODAY PLEASE
The total area of the exercise room is 160 square feet.
The number of square yards equivalent to this total area is 17. 78 square yards.
Since the rubber flooring is sold in whole square yards, Juan must purchase exactly 18 square yards.
How to find the area ?To find the area of the exercise room, you should divide it into two different rectangles and then add up their areas.
Rectangle 1 length = 16 ft
Rectangle 1 width = ( 13 - 6 ) = 7 ft
Rectangle 2 length = ( 16 - 8 ) = 8 ft
Rectangle 2 width = 6 ft
The area is therefore :
= ( 16 x 7 ) + ( 8 x 6 )
= 160 square feet
1 square yard is 9 square foot so 160 square foot is:
= 160 / 9
= 17. 78 square yards
The area of rubber flooring that Juan must purchase would then be the whole number of 18 square yards which is 17.78 rounded up.
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I need help with C! If sin = 7/10 theta , find the exact value of
The evaluation of the trigonometric identities can be presented as follows;
(a) cos(θ) = -√(51)/10
(b) sin(θ + π/76) = (7·√3 - √(51))/20
(c) cos(θ - π/3) = (7·√3 - √(51))/20
What are trigonometric identities?Trigonometric identities are equations involving trigonometric ratios, in which the values correct far all possible values of the input variable.
(a) The value of sin(θ) = 7/10
The location of the angle θ is quadrant II, therefore;
The adjacent side to the angle θ is -ve, therefore;
cos(θ) = (√10² - 7²)/10 = -√(51)/10
(b) sin(θ + π/6) = sin(θ) × cos(π/6) + sin(π/6) × cos(θ)
sin(θ + π/6) = 7/10 × √3/2 + 1/2 × (-√(51)/10) = 7/10 × √3/2 - 1/2 × √(51)/10
sin(θ + π/6) = (7·√3 - √(51))/(2 × 10) = (7·√3 - √(51))/(20)
(c) cos(θ - π/3) = cos(θ)·cos(π/3) + sin(θ)·sin(π/3)
Therefore;
cos(θ - π/3) = ((-√51)/10 )× (1/2) + (7/10) × √3/2
cos(θ - π/3) = ((-√51)/10 )× (1/2) + (7/10) × √3/2 = (7·√3 - √(51))/20
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A cylinder has a base diameter of 8in and a height of 20in. What is its volume in cubic in, to the nearest tenths place?
Answer:1004.8
Step-by-step explanation:
divide 8 by 2 since we need the radius which gives us 4. Then square it by the second power which will give you 16 since 4x4 equals 16. Then multiply 16 by pie/3.14 and you should get 50.24. then multiply it by the height which is 20in and you should get the answer which is 1004.8
Consider an annuity-immediate with monthly payments for twenty years. The
payments are level in the course of each year, then increase by 2% for the next year. Find the present value of this annuity if the initial payment is $1,000 and
i=4%
The present value of the annuity is $189,468.24 if the initial payment is $1,000 and the monthly interest rate is 0.3333%.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first find the monthly interest rate since the payments are made monthly. The monthly interest rate can be found by dividing the annual interest rate by 12:
i = 4% / 12 = 0.3333% per month
Next, we need to find the present value of the annuity. We can use the formula for the present value of an annuity-immediate:
[tex]PV = P * (1 - (1 + i)^{-n}) / i[/tex]
where PV is the present value, P is the monthly payment, i is the monthly interest rate, and n is the number of payments.
The first year, the payments are level, so we can use the formula with n = 12 to find the present value of the payments for the first year:
[tex]PV1 = 1000 * (1 - (1 + 0.003333)^{-12}) / 0.003333 = \$11,887.87[/tex]
For the second year, the payments increase by 2%, so the monthly payment for the second year will be:
P2 = 1000 * 1.02 = $1,020
We can then use the formula again with n = 12 to find the present value of the payments for the second year:
[tex]PV2 = 1020 * (1 - (1 + 0.003333)^{-12}) / 0.003333 = \$12,061.92[/tex]
We can continue this process for the remaining 18 years, increasing the payment by 2% each year. The total present value of the annuity is the sum of the present values of each year's payments:
PV = PV1 + PV2 + ... + PV20 = $189,468.24
Therefore, the present value of the annuity is $189,468.24 if the initial payment is $1,000 and the monthly interest rate is 0.3333%.
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Atul gets a pocket money allowance of Rs.120 per day. Thinking that this was rather less he asked his friends about their allowances and obtained the following data which includes his allowance also ( Amount I Rs.) 120, 180, 100, 50, 250, 200,200,220, 150, 100,100,150,130,200,180, 100, 150, 100, 180, 150, 120, 150, 100, 150, 100, 120, 180, 200, 50.
He presented this data to his father and asked for an increase in his allowance as he was getting less than average amount. His father, a statistician, countered pointing out that Atul's allowance was actually more than the average amount.
Atul's father is mistaken, and Atul's request for an increase in his allowance may be valid based on the information given.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To determine whether Atul's allowance is above or below the average, we need to calculate the average allowance for all the friends, including Atul.
To do his, we add up all the amounts and divide by the total number of friends:
Average allowance = (120+180+100+50+250+200+200+220+150+100+100+150+130+200+180+100+150+100+180+150+120+150+100+150+100+120+180+200+50) / 29
Average allowance = 162.07
So, the average allowance for Atul's friends, including himself, is Rs. 162.07 per day.
Since Atul's allowance is Rs. 120 per day, we can see that his allowance is actually less than the average.
Therefore, Atul's father is mistaken, and Atul's request for an increase in his allowance may be valid based on the information given.
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Find the solution to the system of equations. You can use the interactive graph below to find the solution. { � = 2 � + 3 � = − 3 � + 3 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=2x+3 y=−3x+3 � = x=x, equals � = y=y, equals
By answering the above question, we may infer that As a result, (x, y) = is the answer to the system of equation (3, 0).
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The equations in the system are:
x + 2y = 3 ... (1)
x - 3y = 3 ... (2)
We may use equation (2) to solve for x in terms of y:
x = 3 + 3y
If this value of x is substituted into equation (1), the result is:
(3 + 3y) + 2y = 3
If we simplify this equation, we get:
5y = 0
Hence, y = 0. Inputting y = 0 into the equation we found for x results in:
x = 3 + 3(0) = 3
As a result, (x, y) = is the answer to the system of equations (3, 0).
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General Sherman, a tree located in Sequoia National Park, stands 275 feet tall. To see the top of the tree, Carlos looks up at a 15° angle of elevation. If Carlos is 6 feet tall, how far is he from the base of the tree to the nearest foot?General Sherman, a tree located in Sequoia National Park, stands 275 feet tall. To see the top of the tree, Carlos looks up at a 15° angle of elevation. If Carlos is 6 feet tall, how far is he from the base of the tree to the nearest foot?
We may calculate the distance from Carlos and the tree as [tex]D = 781.23[/tex] ft using trigonometric relationships.
Is calculus more difficult than trigonometry?Many functions in trigonometry offer excellent illustrations of how calculus may be used in practical situations. By the way, basic trigonometry primarily deals with the algebraic features of circular functions, therefore basic calculus is not always simpler than basic trigonometry. On the other hand, calculus is fundamentally non-algebraic in nature.
Trigonometry: SOH CAH TOA or not?The mnemonic SOHCAHTOA makes it simple for us to recall the three primary trigonometric ratios.
Then one of the cathetus of the triangle is equal to:
[tex]275ft - 6ft = 269ft[/tex]
That cathetus is the opposite cathetus to the angle of 19° (the elevation angle). And the adjacent cathetus is the distance between Carlos and the tree.
Then we can use the relation:
Where:
[tex]a=19^{0}[/tex]
opposite cathetus [tex]=269ft[/tex]
adjacent cathetus [tex]=D[/tex]
Replacing that, we get
[tex]tan(19^{0} ) = 269ft/D[/tex]
Solving for D, we get:
[tex]D = 269ft/tan(19^{0} ) = 781.2ft[/tex]
So we conclude that Carlos is at [tex]781.23[/tex] ft of the tree.
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What is A4 going to be?
Most nations adopt the international standard ISO 216, which specifies the dimensions of an A4 sheet.
What do you mean by ISO?ISO (International organization fr Standardization) is an independent, non-governmental body that develops standards to ensure the effectiveness, safety, and quality of goods, services, and systems.
Obtaining an ISO quality management certification can greatly benefit your company by increasing productivity, efficiency, and customer satisfaction.
The international standard ISO 216, which is widely used worldwide, specifies the dimensions of an A4 sheet. A4 paper measures 210 x 297 mm r 21 x 29.7 cm.
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Which point is a relative minimum?
A. A
B. B
C. C
D. D
The relative minimum point is B. Option B is the correct option.
What is the relative minimum?
The function's graph makes it simple to locate relative minima. It is the pivotal point in the function's graph. Relative minima are locations where the function's graph shifts from decreasing to increasing. A point that is lower than the points to its left and right is said to be at its relative minima.
The points of the graph function are A, B, C, D.
The lowest point among the given points on the graph is B.
Thus the relative minimum point is B.
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Yamilet works in a jewelry store and receives 12% commission when she makes a sale. how much commIssuing will she receive for selling an $8,125 ring
Answer: To find out how much commission Yamilet will receive for selling an $8,125 ring, we need to multiply the price of the ring by her commission rate, which is 12% or 0.12 in decimal form.
Commission = Price of ring x Commission rate
Commission = $8,125 x 0.12
Commission = $975
Therefore, Yamilet will receive a commission of $975 for selling an $8,125 ring.
Step-by-step explanation:
regla general de las siguientes secuencias -2,1,6,13,22,33...
Answer:
46
Step-by-step explanation:
your add odd number 1,3,5,7,9,11,13...
I need help with this please
I think of a number, treble it and take 6 from my answer.
If the result is 18, find the number.
Answer:
number is 8
Step-by-step explanation:
let the number be n then trebling it ( multiplying it by 3 ) is 3n, then subtracting 6 from this is 3n - 6 , so
3n - 6 = 18 ( add 6 to both sides )
3n = 24 ( divide both sides by 3 )
n = 8
that is the number thought of is 8
could you help with these questions ?
a. The equation of the tangent plane is z = 1 + x.
b. The point (4/3, 8/3, 5) lies on both the plane T(0,1) and the line l.
c. The other points on the graph of f(x) whose tangent plane contains the line l are (-9/8, -1/2, -21/8) and (-25/32, -3/4, -47/32)
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
(a) The partial derivatives of f(x) at this point:
∂f/∂x = 2x + y²
∂f/∂y = x² + 2xy
Evaluating these at (0,1), we get:
∂f/∂x(0,1) = 1
∂f/∂y(0,1) = 0
So the equation of the tangent plane is:
z = f(0,1) + ∂f/∂x(0,1)(x-0) + ∂f/∂y(0,1)(y-1)
z = 1 + x
(b)
The plane T(0,1) contains the line l:
2x = y = (z+3)/2
Substituting y = 2x and z = 2y-3, we get:
z = 2(2x) - 3 = 4x - 3
So any point on the line l can be written as (x, 2x, 4x-3).
Substituting these values into the equation of the plane, we get:
4x-3 = 1 + x
3x = 4
So x = 4/3, y = 8/3, and z = 5.
Therefore, the point (4/3, 8/3, 5) lies on both the plane T(0,1) and the line l.
(c) To find all other points on the graph of f whose tangent plane contains the line l, we need to find the intersection of the graph of f with the plane T(0,1) + λ(2,0,1), where λ is a scalar. This gives us the system of equations:
x² + y²xy = 1 + x + 2λ
2x + y² = 0
y - 1 = λ
Solving for x and y in terms of λ, we get:
y = λ + 1
x = -(y²)/2 = -(λ+1)²/2
Substituting these values into the first equation, we get:
(λ+1)² + (λ+1)²(-(λ+1)²/2) = 1 - (λ+1)²/2 + 2λ
Simplifying and solving for λ, we get:
λ = -1/2, -1/4
Therefore, the other points on the graph of f(x) whose tangent plane contains the line l are:
(-9/8, -1/2, -21/8) and (-25/32, -3/4, -47/32)
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Hi! I will give brainliest for anyone who answers this correctly. Thank you so much!
Destiny loves to compete in triathlons. At a race a few months ago, she finished in 220 minutes. At a race yesterday, she took 15% less time to finish. What was her time at yesterday's race?Until recently, Patty owned 2,220 acres of farmland. This year, she sold the old land and purchased a new plot that is 1,887 acres in size. What is the percent of decrease in the amount of land that Patty owns now?
The percent decrease in the amount of land that Patty owns now is approximately 15.00%. Destiny's time at yesterday's race was 187 minutes.
To find Destiny's time at yesterday's race, we can first calculate the time reduction as a percentage of her previous time, and then subtract that reduction from her previous time.
The time reduction is 15% of 220 minutes -
0.15 x 220 = 33
So, she took 33 minutes less at yesterday's race.
Her time at yesterday's race is -
220 - 33 = 187 minutes
Therefore, time value is obtained as 187 minutes.
The percent decrease in the amount of land that Patty owns can be calculated by finding the difference between her old and new land sizes, dividing that by her old land size, and then multiplying by 100 to convert to a percentage.
The difference between her old and new land sizes is -
2,220 - 1,887 = 333
Dividing that by her old land size and multiplying by 100, we get -
(333/2220) x 100 ≈ 15.00
Therefore, the percent decrease is obtained as 15.00%.
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At a scouts' camp, there is sufficient food to last 72 scouts for 6 days. If 18 scouts do not turn up for the camp, how much longer can the food last for the other scouts?
The food will last the other scouts for 8 days
How to calculate the number of days the food will last?At a scout's camp, the food will last 72 scouts for 6 days
The first step is to multiply both values(the number of scouts and the number of days spent in the camp)
= 72 × 6
= 432
The number of scouts at the camp can be calculated by subtracting the number of scouts present from the number of days the scouts spent at the camp
= 72-18
= 54
The amount of food left can be calculated as follows
= 432/54
= 8
Hence the food will last for 8 days
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Figure W is a dilation of figure V. Where is the center of dilation located?
A) inside figure V
B)outside figure V
C)on a vertex of figure V
The center of dilation is located inside figure V.
What is Dilation?Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
Every dilated image are similar figures to the original figure.
Center of dilation is defined as the point which is fixed on a plane. All the points are dilated about this point.
This can be situated inside or outside the preimage and image.
We can find the position of center of dilation by connecting corresponding vertices of the image and preimage and extend the line up to which all the lines intersect.
The intersecting point is the center of dilation.
Using this concept, here, the center of dilation is inside V.
Hence the center of dilation is located inside the figure V.
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Can anyone help me with this question
The relative maximum from the given graph is (2, 0). Therefore, options B, C, D and E are the correct answers
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the given graph,
The zeros of function are x=-3, x=2 and x=5.
So, the number of zeros are 3 and the degree of the polynomial is 3.
The relative maximum from the given graph is (2, 0).
The leading coefficient test tells us that the graph rises or falls depending on whether the leading terms are positive or negative.
Here, the leading coefficient is negative.
The edge multiplicity of a given end vertex in a multigraph is the number of multiple edges sharing that end vertex. The maximum edge multiplicity in such a graph is known as the graph multiplicity.
Here, the multiplicity is 2.
Therefore, options B, C, D and E are the correct answers
To learn more about the function visit:
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