Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w

Answers

Answer 1

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]


Related Questions

find the measure of the missing angles.​

Answers

Step-by-step explanation:

a is the answer to this question

Answer:

d=90   e=27    f=153

Step-by-step explanation:

The angle adjacent to d is 90 degrees. They both add up to 90. 180-90=190. D=90.

E is a vertical angle, congruent to 27.

E=27.

F is a linear pair with 27, which means it's supplementary (adds to 180). 180-27=153.

F=153.

What are all numbers that equal to 30 in multiplication

Answers

Answer:

2 X 15 =30

3 X 10 = 30

5 X 6 = 30

6 X 4 = 30

10 X 3 = 30

Step-by-step explanation:

What are the domain and range of the function represented by the table?

Answers

Answer:

Doman is always the x-intercept.

And Range is always the y-intercept.

Domain = {-5, 0, 5, 10, 15}

Range = {-1, 0, 1, 2, 3}

So the answer is C.

I think the answer is C

Please help!! I have a test tomorrow and I'm struggling to answer this question
A periodic function f(x) has a period of 11. The values of f(3) and f(11) are 12 and 27, respectively. What is the value of f(14)?

Answers

Answer:

12

Step-by-step explanation:

f(14)= f (3 + 11)

= f(3) = 12

Therefore the value of f(14) is 12.

Anthony and Joan have $10 to buy apples and oranges at the market. They will buy a total
of 25 pieces of fruit. Apples cost 50 cents each and oranges cost 25 cents each. Which of
these systems best represents this situation?

Answers

The last one

x + y = 25 is the number of pieces of fruit they will buy, where x is apples and y is oranges.

0.50x + 0.25y = 10 applies the cost, in cents, to each piece of fruit. The 10 is 10.00, keeping everything to the same number of decimal places.

9.2\times 10^{-3}-1.3\times 10^{-3}
9.2×10
−3
−1.3×10
−3

Answers

Answer:

73

Step-by-step explanation:

9.2  x 10 - 3 - 1.3 x 10 - 3

92 -3 - 13- 3

73 is the answer if that the question

Answer:

[tex](9.2 \times {10}^{ - 3}) - (1.3 \times {10}^{ - 3} ) \\ \\ = { \tt{(9.2 - 1.3) \times {10}^{ - 3} }} \\ \\ = { \tt{7.9 \times {10}^{ - 3} }}[/tex]

Is it a function yes or no. 1,2,3,4,5,6.

Answers

1. no 2. no 3. yes 4. yes 5. no 6. no

What is the solution set of the equation x2 + 2x – 15 = 0?

Answers

Answer:

( x − 3 ) ( x + 5 )

Step-by-step explanation:

HAVE A NICE DAY

Answer:

B

Step-by-step explanation:

; factor the left side of the equation

; (x−3) (x+5) = 0

set factors equal to 0

x − 3 = 0

or

x + 5 = 0

; so, x = 3  or  x = −5

describe fully the single transformation that maps A onto c

Answers

Answer:

They are different because they are not similar and they have different answer at the end

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

314 or 100pi cause u do 10 squared multiplied by 3.14

Can someone please help for this question?

Answers

Write the conditions in algebra.
x = y + 2
3x + 4y = 8x - 20
From the first equation y = x - 2. Substitute for y in the second equation.
3x + 4(x - 2) = 8x - 20
3x + 4x - 8 = 8x - 20
7x = 8x - 12
So x = 12

You should always check your answers for simultaneous equations
y = 10 because x = y + 2
3 x 12 + 4 x 10 = 8 x 12 - 20?
36 + 40 = 96 - 20. This is true!

For a multi choice problem it would be faster to just try each value until one works

Find all real zeros of the function.
h(x) =-5x(x-2)(x^2-25)
If there is more than one answer, separate them with commas.

Answers

Answer:

6

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

17m-7

Step-by-step explanation:

product means multiplication so we multiply 17 times m.

17m

and 7 less than 17m is subtraction

17m-7

Answer:

17m-7

Step-by-step explanation:

m = The height

7 less than the product ( Multiply) 17 and m.

so 17m-7

How do you find co terminal angle of -445

Answers

Answer:

275°

Step-by-step explanation:

-445+360=-85+360=275°

Explica qué significan las variables "m" y "b" en la ecuación y = mx +b*

Answers

Answer:

La M representa la pendiente de la recta y la b representa la intersección con el eje y

Step-by-step explanation:

Que tengas un excelente verano :)

Respuesta: En la ecuación y= mx + b, “m” representa la pendiente y “b” representa el y-intercept.

Espero que esto ayude, buena suerte! :D

On the first day of camp,
5/8 of the skaters were beginners. Of the beginners, 2/6 were girls. What fraction of the skaters were girls and beginners? Complete the explanation.

Answers

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

Which of the following best describes the graph of the polynomial function
below?
A. The graph has two zeros.
Ο Ο Ο
B. The graph has infinitely many zeros.
C. The graph has one zero.
D. The graph has no zeros.
SUBMIT

Answers

Answer:

C.

Step-by-step explanation:

the given graph touches the Y-axis in the point (5;0), it means the only zero.

To the additional: the graph is y=(x-5)².

Find the missing lengths of the sides.

Answers

Answer: x = 8, y = 8

Step-by-step explanation: If 8 is already on the exterior of the triangle then this means that every angle should also be 8. But, if this were an equilateral triangle, a triangle with equal sides, then ALL sides would HAVE to be 8. But since I don't have this information (if it's equilateral or not), then I can't be positive about this. Really hope this helps you!

Solve
4(-5)(-2)(-3)
show your work<3
no links

Answers

Answer:

-120

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= -120 (Ans)

Answer:

-120

Step-by-step explanation:

lots of approaches here

suggest saying that there are 3 (odd) number of negative signs

so the answer is negative (-)

5*4 = 20

20*2 = 40

40*3 = 120

we determined that the answer has to be negative

-120

witch one is greater 428,745 or 428,745

Answers

They are the same amount. neither is greater or lesser than the other.

the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap just explain how❤️❤️❤️❤️❤️

Answers

Answer:

I think the answer is 278.85

Step-by-step explanation:

Answer:

278.85

Step-by-step explanation:

In a right triangle, the ratio of the length of the side opposite acute angle to the length of the side adjacent to angle is called the tangent of angle .

Answers

Answer:

The given statement is "True"

Step-by-step explanation:

The right angle triangle is shown below:

The tangent value of an angle is given by the expression as shown below:

[tex]tan\alpha =\frac{a}{b}[/tex]

I need help to find the value please

Answers

Answer:

13.928

Step-by-step explanation:

Pythagorean theorem. 13^2 + 5^2 = x^2

Answer:

this is easy

Step-by-step explanation:

valve of x is 30 add 13 into 30 = 43÷5 5/8

What are the dimensions of the rectangle shown on the coordinate plane?

Answers

The base is 5 units and the height is 4 units.

Hope this helps! :)

The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below.
8 cm
10 cm
6 cm
Part A
What are the actual lengths of the sides of the deck?
6 cm
8 cm =
10 cm =
Part B
Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answers

Answer:

27

36 ft

45 ft

$189

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

original dimension = (8 x 9) / 2 = 36

(10 x 9) / 2 = 45

(6 x 9) / 2 = 27

cost of deck = sum of sides x cost per square feet

sum of sides = 36 + 27 + 45 = 108

108 x 1.75 = 189

pls help i really need this grade​

Answers

A. 4^5 is the answer

Multiply (5x + 3) by (2x + 6) using the box method.

Answers

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18


there are 6 pink beads and 44 purple beads on olives necklace. What is the ratio of the number of pink beads to the total number beads.

Answers

Answer:

Step-by-step explanation:

3:22

Answer:

6/50

Step-by-step explanation:

using probability

pink beads = 6

total beads = 44 + 6

= 50

6/50

3/25

therefore ratio

3 : 25

what is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}

Answers

Answer:

The domain is {3,6,−1,5,−4}

Step-by-step explanation:

Answer:

3,6,-1,5,-4.

Step-by-step explanation:

The domain is the x-value or the first number in the ordered pair. For example: (5,2). The x-value is 5 so that means that the domain is 5. Therefore, for this function, the domain will be 3,6,-1,5,-4.

If this helps please mark as brainliest

Find the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success is 40%. Round to the nearest tenth of a percent. [ ? ]% ​

Answers

Answer:

65.3%

Step-by-step explanation:

Binomial distribution PMF below (along with a description)

the probabilty of getting 2, 3, or 4 successes in 5 trials is just

p(2)+p(3)+p(4)

p(2)= 5C2*.4²*(1-.4)³ = .3456

p(3)= 5C3*.4³*(1-.4)²= .2304

p(4)= 5C4*.4⁴*(1-.4)=.0768

.3456+.2304+.0768= .6528

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Read the excerpt from Act II, scene vi of Romeo and Juliet.Friar Laurence: These violent delights have violent ends,And in their triumph die, like fire and powder,Which, as they kiss consume: the sweetest honeyIs loathsome in his own deliciousnessAnd in the taste confounds the appetite:Therefore love moderately; long love doth so;Too swift arrives as tardy as too slow.Which pair of words from the excerpt is an oxymoron?violent delightsviolent endssweetest honeytoo swift HELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKK Please helpppppp 7th grade mathhh A teacher performs a demonstration to show the properties of an unknown substance. The teacher cuts off a piece of gray shiny substance and drops it in water. The substance floats and reacts violently with the water. Based on this Information, what type of element the unknown substance?A. metalloid B. metalC. nonmentalD. halogen Read the sentence.Roland, the artist, brilliantly captured the fading pastel light on his canvas, and he preserved the sunset for future generations to enjoy.Which statement correctly describes the sentence?It is one long independent clause.It is one independent clause and one dependent clause.It is two dependent clauses joined by a subordinating conjunction.It is two independent clauses joined by a coordinating conjunction. the ratio of the measures of the angles in cat is 2:7:9. find the measure of the smallest angle. 3. Available energy increases as it is transferred from one organism to another in food chain.True or false Identify what holds DNA, the hereditary information of a cell?(Its not the nucleus)PLEASE HELP! Nina visited an area that receives a large amount of precipitation during all twelve months and is typically warm year round. The area also has a large variety of organism diversity. What biome did Nina most likely visit? Suppose that an investor buys a 100-share call option for $250. It has an exercise price of $60. The underlying price per share of the stock at expiration is $66. What then is the amount of profit or loss, ignoring brokerage fees Alex has a BMR of 1,300 calories and he exercises lightly. His TEE is . 4. 12 % of a sum of money is $40. What is the sum of money? What is the solution to the system of equations below?y=-3x+9 and y-x-12(21, 2)(21, -10)(-21, 16)(-21, -26) 18/30G35 mFind the value of x:H18 m30 m Which function is graphed on the coordinate plane below? Question is on the screenshot which sequence is a geometric progression a 2 4 6 8 b 1 1 2 3 c1 2 4 8 d1 3 5 7 Help!!!Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,calculate the amount of floor left uncovered by the circular area rug in a rectangularliving room. PLS I REALLY NEED HELP DUE FODAYFor the reaction of hydrogen gas with iodine gas to make hydrogen iodide gas, H2 + 12 2HI, you have the following concentrations at equilibrium: [HQ] = 4.5647 x 10-3 M, [12] = 7.378 x 10-4 [HI] = 1.3544 x 10-2 M. M, and What is the equilibrium constant?0.4997 0.54 46.33 54.47 Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.m = 1/2, (6, 9)