Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer 1

Answer:

Step-by-step explanation:

Refer the attached picture for complete question

a) V(x)=x(11-2x)(17-2x)

B(x)=140

Side and volume cannot be negative

So, x> 0

11-2x>0   and 17-2x>0

[tex]x<\frac{11}{2}[/tex] and [tex]x< \frac{17}{2}[/tex]

Domain for V(x) :[tex]0<x<\frac{11}{2}[/tex]

b)For finding the greatest Volume

[tex]\frac{dV}{dx}=0[/tex]

[tex]V(x)=x(11-2x)(17-2x)=4x^3-56x^2+187x[/tex]

[tex]\frac{dV}{dx}=12x^2-112x+187=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{112\pm\sqrt{(112)^2-4(12)(187)}}{2(12)}[/tex]

x=7.155 , 2.177

Consider the graph

So, Volume at 7.155 is negative

Thus x≈2 gives the greatest volume

c)

Consider the graph .

It is increasing from [tex]-1 \leq x \leq 2[/tex] and [tex]x \geq 7[/tex]

So, Graph increasing interval is [-1,2] ∪[7,∞)

d)

At the point of intersection, both graph has the same value .

Elena Is Making An Open-top Box By Cutting Squares Out Of The Corners Of A Piece Of Paper That Is 11

Related Questions

A. Name a line segment

B. Name an endpoint

Answers

Answer:

Line Segment = FG

Endpoint = C

Step-by-step explanation:

Line segment means a piece of the line

Endpoint meant a point on the end

Answer:

Step-by-step explanation:

AB is a line segment

 An end point would be point C on  CD

12. If a family is chosen at random from the set of all families with exactly three children, find the probability
that: (2Marks)
a) the family has three boys if it is known that one child is a boy.
b) the family has three boys if it is known that the first child is a boy.

Answers

Answer:

(a) 0.25

(b) 0.125

Step-by-step explanation:

The probability of the child being a boy or a girl is 50%.

That is, P (B) = 0.50 = P (G).

It is provided that the family selected has three children.

(a)

Compute the probability that the family has three boys if it is known that one child is a boy as follows:

[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]

                 [tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]

Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.

(b)

Compute the probability that the family has three boys if it is known that the first child is a boy as follows:

The gender of the children are independent of each other.

So, if the first child is a boy then the probability of having three boys is:

P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)

                               = (0.50)³

                               = 0.125

Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.

find the value of x.

Answers

Answer:

x=11

Step-by-step explanation:

take 90+35 = 125

then take 180-125=55

then take 55 divided by 5 to get the answer of 11

You flip a coin. What is p(heads)? Write your answer as a percentage rounded to the nearest tenth

Answers

Answer:

0.50%

Step-by-step explanation:

Can you please help me answer this question ?( will mark brainliest )

Answers

Answer:

Revenue(net profit) = 720.00 £ (-35%)

Step-by-step explanation:

Given that Poppy Lapel Pins made 1000 Poppy Lapel Pins that costed £1.10 each to make. This is what is subtracted from the sales. Which means 1100£ is what is deducted from the net(total) profit. 1000 * £1.10 = 1110.00£ (cost)

When it says that 35% of these are given to charity, these are the number of pins that they did not make profit off of. It also says the remaining are sold which means that the other 65% are sold since 100%-35% = 65%.

Referring back to how 1000 total pins are sold, we are given that 35% of these are given to charity which are the pins that the company does not make profit off of. Because 35% of these are disregarded from profit 1000 minus 35% of 1000 is 1000 - 350 = 650 pins (number of pins sold for profit).

We are also given that these 650 pins are split up into another set of sales, being 60% of these is sold for 3£ each pin, and the other 40% are sold for 5£ each 2 pins.

Now we can set up an expression to solve for the net profit as a quantity.

(650 × 60% × 3£) + ( 1/2 × 650 × 40% × 5£)

= ( 390 × 3£ ) + ( 260 × 1/2 × 5£) = (1170.00£) + (650£) = (1820.00£).

Then to find the revenue or total income made, we must subtract the *cost* from the *net profit*

Revenue = profit - cost.

Revenue = 1820.00£ - 1100.00£ = 720.00£.

Once that is done, to find the percent margin, we must subtract the revenue from the cost all divided by the cost, and multiplied by 100( to convert it to a precent ).

Margin = ((Revenue-cost)/cost × 100)%

Margin = ((720.00£-1100.00£)/1100£ × 100)% = -380/1100£ × 100%= -0.345454... × 100% ≈ -35%

Write each equation in slope intercept form the graph

Answers

I believe the answer is 4/5x +2. Sorry if I’m wrong.

Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour

Answers

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

can somebody help me out with this please? (you don’t have to do the thing where you show ur work on paper just show work please)

Answers

Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.

Step-by-step explanation: 38+7k=8k+32=                            6x-3=9x+27

                                              38=1k+32=                                     -3=3x+27

                                               6=1k k=6                                           -30=3x x=-10

For the second one is ( x= -10)

any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer ​

Answers

Answer:

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

The slope is 100

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

Answer:

The slope of the function is 100 which represents the additional cost to produce each phone.

Step-by-step explanation:

The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.

Have a good day :)

if you remove my question you not big brain

Answers

Answer:

Whats your question?

Step-by-step explanation:

Answer:

MINE CRAFT U SHOULD NEVER PLAY

Step-by-step explanation:

do you guys know this by any chance

Answers

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

What’s 9+10, will give brainliest for the Awnser I’m looking for

Answers

Answer:

9+10 is 19 i-

Step-by-step explanation:

Is this what you are looking for ‍♀️9+10=21

what is the maximum number of terms a fourth-degree polynomial function in standard form can have?

Answers

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

Learn more here: https://brainly.com/question/22340393

What's the value of
z? - 3x + 1
when x = -2 and y = 42

Answers

Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

A puppy named Boots started out at 4 pounds and gained 3 pounds every month. At how
many months did Boots weigh 25 pounds?

Answers

Answer: 7 months

Step-by-step explanation:

He started at 4 pounds so if he grew 3 pounds every month, it would take 7 months to grow 21 pounds. 21 pounds plus 4 pounds is 25 pounds.

Answer:

7 months

Step-by-step explanation:

3 times 7 is 21 than you add the original 4 and get 25 so therefore the answer is 7 months

−9(4 − 3j)

A. 36 − 27j
B. 36 + 27j
C. −36 + 27j
D. 36 + j

Answers

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

Two clothing stores are having a sale on all their dress shirts. Store A is charging $15 for each dress shirt. Store B is $18 for each shirt but giving customers a coupon for a $9 discount when they check out.
Which of the following statements is true?
A. Helen bought 4 dress shirts at Store A for $75.
B. Henry bought 4 dress shirts at Store B for $72.
C. Hank bought 3 shirts from Store A and paid the same as Holly paid for 3 shirts at Store B.
D. Buying dress shirts from Store A will always be cheaper than buying dress shirts from Store B.

Answers

Answer:

C

Step-by-step explanation:

When the steps are followed. They both pay the same amount

Answer:

C

Step-by-step explanation:

A: Helen paid $60 at store A for 4 Dress Shirts

B:Henry bought 4 dress shirts at Store B for $63

D: (1 shirt)Store A with discount is $15 and at Store B (with $9 coupon) $9 , though it is true with one shirt, it is not certain this will happen with a greater amount of shirts.

consider The line that passes through each pair of given points and decide what type of slope the line has.​

Answers

Answer:

(6,-3) and (-4, -3) = zero slope

(-7, 8) and (-7, 0) = undefined slope

(2, 4) and (5, 1) = negative slope

(3, 5) and (-1, 2) = positive slope

:)

Step-by-step explanation:

got it right on edge

Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know

Answers

Answer:

No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.

Renee can run 10 miles in 1.75 hours. Amy can run 8 miles in 1.5 hours who runs faster

Answers

Answer:

The person with the larger value means they are moving at a higher acceleration

Step-by-step explanation:

Renee: 10 miles / 105 minutes = 0.095 mi/min

Amy: 8 miles / 90 minutes = 0.088 mi / min

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.

Answers

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]

Find two numbers if their ratio is 9:11 and their difference is 6.

Answers

Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

The way I've done it, there isn't a second pair.

I suppose you could do it this way.

9/11 = -27/-33

-27 - - 33 = 6

So the second pair could be

(-27, - 33)

4.(03.06 MC)
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.

Answers

Answer:

y=-3x+1

Step-by-step explanation:

Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6? ANYTHING HELPS

Answers

A function assigns the values. The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function that represents a function with zeros at -3,-1, 0, and 6 is

f(x)=(x+3)(x+1)(x+0)(x-6)

f(x)=x(x+3)(x+1)(x-6)

f(x)=x(x-6)(x+3)(x+1)

Hence, The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

CAN SOMEONE HELP ME ?

Answers

Answer:

sure ill help

Step-by-step explanation:

Answer:

a+b=f

Step-by-step explanation:

180-f= c

180-(a+b)= c

SO

a+b= f

what will happen to the area of a square if the length of its sides are halved​

Answers

Answer:

the side is halved the area of the square will be one fourth

Step-by-step explanation:

example : 6cm

area : 6x6 = 36

now half of 6 is 3

so : 3x3 = 9

one-fourth of 36 is 9

Write 9(39) using the Distributive Property. Then simplify.

Answers

9 x 3 = 27
9 x 9 = 81
27+81= 109

WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?

Answers

Answer:

I think around 17 min...

Step-by-step explanation:

there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....

60/8= 7.5 and 60/ 6=10

so 7.5+10 = 17.5

somewhere around there

jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?

Answers

Answer:

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

   a hypotenuse of a right triangle, whose legs are 7 and 13

∴  (hypotenuse)² =  (leg1)² + (leg2)², where

hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² =  (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √  for both sides

∴ hypotenuse = [tex]\sqrt{218}[/tex]

∴ hypotenuse ≅ 14.76482306

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.

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