An open box is constructed of 3500 cm2 of cardboard. The box is a cuboid, with height h cm and square base of side x cm. What is the value of x which maximises the volume of the box? Give your answer in cm correct to 3 significant figures.

Answers

Answer 1

Answer:

this is confusing and my head hurts

Step-by-step explanation:


Related Questions

find the first three terms of the sequence with nth term 2n+4​

Answers

Answer:

To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.

2(1)+4=2+4=6

2(2)+4=4+4=8

2(3)+4=6+4=10

As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so

2(9)+4=18+4=22

Hope this helped!

Suppose (-6,- 1) is a point on the graph of y=g(x).
(a) What point is on the graph of y = g(x+4)-5?
(b) What point is on the graph of y= - 49(x-7)+4?
(c) What point is on the graph of y = g(4x + 2)?
(a) What point is on the graph of y = g(x + 4) - 5?

Answers

A- (-1,3)
B- (39,-8)
C- (-6,-2)

Bella lost 10 points 7 times playing a video game she then lost an additional a hundred points for going over the time limit what was the total change in her score​

Answers

she lost 10 7 times, so she is at -70. After losing another 100, her total score change was -170.

ga fa gza ca Morgan aca she moaned so hard

HELP PRECALC WILL GIVE BRAINLIEST

Answers

Answer:

389376

Step-by-step explanation:

a) The value in C22 is the amount of inventory Store B has of Product Y at the end of July. That value is the starting inventory, 476, less July sales, 87, so will be ...

  476 -87 = 389 = C22

__

b) The maximum possible sales of Product Z by Store A in July will be the amount they have in starting inventory, 376. Max(A31) = 376.

___

Additional comment

We have to assume that stores don't share inventory, and that there is no incoming product during the month.

The sum of three consecutive natural numbers is 540, find the numbers.

Answers

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................

Answers

Answer and Explanation:

Solution: For the general term of each infinite series,

     n=1 and the series are:

4/12+1+1/22+1+4/32+1+1/42+1+……..

Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………

Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..

For n=1.

Ted is looking over his spending pattern for the past week to try to determine how much money he had on Sunday. This is Ted's spending pattern: Day Debit ($) Credit ($) Monday 112 --- Tuesday 141 18 Wednesday 56 --- Thursday 28 70 Friday 22 42 Saturday 16 88 If the bank charges Ted an overdraft fee of $25 every time he overdraws his account, and Ted overdrew his account on Wednesday but not on Friday, which of the following is a possible amount of money that Ted could have had in his account last Sunday? Assume that the only debits and credits not listed are overdraft fees. a. $300 b. $280 c. $240 d. $200

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

use the pictures or words to explain how you could find the sum of 7+7

Answers

7+7=14 lol you’re welcome

Simplify the expression: 8(5+5v)+5v

Answers

Answer:

40+45v

Step-by-step explanation:

first you distribute 8 to 5 and 5v which gets you 40+40v+5v

then you add the like terms which gets you 40+45v

Which is the equation of the function in the graph?

Answers

Answer  

B

Step-by-step explanation:

xxxxz

Answer:

D

Step-by-step explanation:

Find the product of the complex number and its conjugate. 3 + 3i
18
9 - 9i
0
9 + 9i

Answers

Answer:

18 or A

Step-by-step explanation:

a+ai (a-ai)

Determine the table of values for these simultaneous equations.

5 x + y = 7

3 x - y = 1

Answers

Step-by-step explanation:

5x + y = 7 ...1

3x - y = 1 ...2

...1 + ...2

5x + y + 3x - y = 7 + 1

8x = 8

x = 8/8

x = 1

What is 16/6 as a decimal?

Answers

To get 16/6 converted to decimal, you simply divide 16 by 6.

In 1988, a certain model of car cost $17000. What would be the cost of that car in 2017 dollars?

Answers

Answer:

$66,092.50

Step-by-step explanation:

In 1988, the car cost $17,000

Annual inflation over this period was 3.54% from 1988 to 2017

After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017

Therefore, the cost of that car in 2017 is closest to $66,092.50

5. Susie has 24 bags of pretzels and 16 bags of chips. She wants to make snack
packs to sell at the carnival, and she wants each snack bag to have the same
number of pretzel bags and chip bags. ANSWER questions 5a, b and c

Answers

Step-by-step explanation:

Given that,

Susie has 24 bags of pretzels and 16 bags of chips.

She wants to make snack  packs to sell at the carnival, and she wants each snack bag to have the same  number of pretzel bags and chip bags.

To find the same no of pretzel bags and chip bags, we can take LCM of 24 and 16.

LCM of 24 and 16 = 48

It means she will need 48 pretzel bags and chip bags

A
Para resolver los siguientes casos, plantea sistemas de
ecuaciones en tu cuaderno y encuentra los valores de las
incógnitas.
1. Horacio quiere poner una hamaca en su jardín. Tiene una cuer-
da que mide 14 metros para amarrar los dos extremos de la
hamaca, por lo que decide cortar la cuerda en dos. Si un pedazo
de cuerda mide 4 metros más que el otro, ¿cuánto miden las
nuevas cuerdas?

2. Imagina que vas a la tienda con un amigo y compras 6 paletas
y 2 gomitas. Tu amigo pide 1 paleta y 10 gomitas. Si tú pagas
$24 y tu amigo $33, ¿cuánto cuestan las gomitas y las paletas?






porfavor ayuda es para una tarea de mañana antes de las 8​

Answers

Answer:

1 La longitud de las nuevas cuerdas = 5 metros y 9 metros

2 El costo de las paletas = $ 3

El costo de las gomitas = $ 3

Step-by-step explanation:

1) Sea la primera mitad de la cuerda representada por = a

Deje que la segunda mitad de la parte superior esté representada por = b

a + b = 14 metros

De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra

a = b + 4

Por lo tanto

b + 4 + b = 14 metros

2b + 4 = 14 metros

2b = 14 - 4

b = 10/2

b = 5 metros

a = b + 4

a = 5+ 4

a = 9 metros

Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros

2)

Representemos el costo de las paletas = p

Costo de gomitas = g

De la pregunta 2 se nos dice que:

Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24

Por tanto: 6p + 2g = 24 ....... Ecuación 1

Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33

p + 10g = 33 ....... Ecuación 2

p = 33 - 10g

Sustituya p por 33 - 10g en la Ecuación 1

6p + 2g = 24 ....... Ecuación

6 (33-10 g) + 2 g = 24

198 - 60 g + 2 g = 24

-58g = 24-198

-58g = - 174

g = -174 / -58

g = $ 3

Para encontrar p

p = 33 - 10g

p = 33 - 10 × 3

p = 33 - 30

p = $ 3

Por lo tant,

El costo de las paletas = $ 3

El costo de las gomitas = $ 3

4. At 7:30 a.m., the temperature in Cloud City was - 22°F. By 8:45 a.m., the temperature had risen 37 degrees. What was the temperature at 8:45 a.m.? At 8:45 a.m., the temperature was [3°F .​

Answers

Answer:

15°F

Step-by-step explanation:

A 130 gallon tank initially contains 10 lbs salt dissolved in 60 gallons of water. Brine containing 1 lb salt per gallon begins to flow into the tank at the rate of 3 gal/min and the well-mixed solution is drawn off at the rate of 1 gal/min. How much salt is in the tank when it is about to overflow

Answers

Answer:

80 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 60 gallons of water in the tank and water flows in at 3 gal/min. In x minute, the amount of water in the tank = 60 + 3x

Water flows out at 1 gal/min, therefore in x minute the amount of water in the tank = 60 + 3x - x = 60 + 2x

The tank begins to overflow when it is full (has reached 130 gallons). Therefore:

130 = 60 + 2x

2x = 130 - 60

2x = 70

x = 35 minutes.

In 35 minutes the tank would start to overflow.

1 lb salt per gallon flows into the tank at 3 gal/min, in 35 min the amount of salt that entered the tank = 3 gal/min × 35 min × 1 lb/gal = 105 lb

1 lb salt per gallon flows out of the tank at 1 gal/min, in 35 min the amount of salt that flow out of the tank = 1 gal/min × 35 min × 1 lb/gal = 35 lb

Initially there is 10 lb of salt dissloved into 60 gallons of water.

Therefore the amount of salt is in the tank when it is about to overflow = 10 + 105 - 35 = 80 lb of salt.

Tell me the correct anser

Answers

Answer:

D is the correct answer

A 500-gallon water tank drains at a rate of 50 gallons per minute. The amount of water left in the tank depends on the number of minutes it has been draining. What is the range of this relation?​

Answers

Answer:0<Y<500

The amount of water Left in the thing depends on the number of minutes it’s been draining so the dependent variable is the amount of water left in the tank.

6. (6.1H)
There are 468 cards, which will be
divided equally among 9 students.
How many cards will each student
get? Show your work.​

Answers

Answer:

52 is correct answer ✔️

The answer is 52 your welcome

Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second, and the second as kilometers as first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida?

Answers

Answer:

15km

hope this helps!

express each of the following percentages as a fraction. 45%

Answers

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

45% = 9/20
45% can be expressed as 45/100
simplify to get 9/20

Winston put 3600 in a bank account that pays 3.4% over a 6 year period. How is the amount of simple interest will he earn? remember i = p r t

Answers

Answer:

3600 x 3.4=122.4 122.4 x 6=Answer

Step-by-step explanation:

Which of the following relations are functions?
f={(1,2),(2,3),(3,5),(4,7)}
g={(1,3),(1,4),(2,5),(2,6),(3,7)}
h={(1,3),(2,6),(3,9),•••,(n,3n),•••}

Answers

f is a function
g is not a function
h is a function

where is the result of -5+3 located in a number line?

Answers

Answer:

-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.

Step-by-step explanation:

help asappp giving brainlist

−10= -0.8x+1.8(-4x+1)-7

Answers

Answer X= 0.6

Step-by-step explanation:

Which of the following estimates at a 95% confidence level most likely comes from a small sample?

Answers

Answer:

we would need the answer choices to reply

the correct answer is 60% ± 18% :)

if you need an explanation lmk

You have 1/8 of a box of erasers and you need to share them with 3 total people, including yourself. What fraction of the box should each person get?

Answers

Answer:

each person should get 1/24th or 0.0417

Step-by-step explanation:

Each should get 1/24

Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7

Answers

Answer:

mode is 7, mean, 6.3 repeating, median 7

Step-by-step explanation:

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Brighton Company launched a new gaming console. They sold 200 consoles prior to the launch.The number of consoles sold each day after the launch is shown by the graph below. Can (3,0) (0,-2) (6,2) and (-3,-4) be generated as a linear function yes or no? Which lines best illustrate the conclusion that Odysseus is an epic hero because he fights alone? lines 20-22 lines 23-24 lines 27-28 lines 29-31 Which statement demonstrates the most scientific observation? Suppose you are given samples of pentane, 2,2-dimethylpropane, 2-methylbutane and hexane. how you would go about determining which substance had the highest boiling point. Plant cells use photosynthesis to make the organic compounds that their mitochondria and other organelles need. Where do you think animal cells get these same organic compounds from? How do their cells use these compounds? What is the extent to which Islam can be characterized as a universal faith? what 2 things does dna polymerase do Choose the correct indefinite article for the following word.palabrasO unO unaO unosOunas I need help with this one please. The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in. PLEASE HELP IM TIMEDWhich of the following is not a component of physical fitness? beauty cardiorespiratory fitness flexibility muscular strength endurance The ability of an organism to make offspring is called ___ Monkey see, monkey do, monkey connect questions. 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But when you have seen vicious mobs lynch your mothers and fathers at will and drown your sisters and brothers at whim; when you have seen hate filled policemen curse, kick and even kill your black brothers and sisters; when you see the vast majority of your twenty million Negro brothers smothering in an airtight cage of poverty in the midst of an affluent society; when you suddenly find your tongue twisted and your speech stammering as you seek to explain to your six-year-old daughter why she can't go to the public amusement park that has just been advertised on television, and see tears welling up in her eyes when she is told that Funtown is closed to colored children, and see ominous clouds of inferiority beginning to form in her little mental sky, and see her beginning to distort her personality by developing an unconscious bitterness toward white people; when you have to concoct an answer for a five-year-old son who is asking: "Daddy, why do white people treat colored people so mean?"; when you take a cross-country drive and find it necessary to sleep night after night in the uncomfortable corners of your automobile because no motel will accept you; when you are humiliated day in and day out by nagging signs reading "white" and "colored"; when your first name becomes "n-----" your middle name becomes "boy" (however old you are) and your last name becomes "John," and your wife and mother are never given the respected title "Mrs."; when you are harried by day and haunted by night by the fact that you are a Negro, living constantly at tiptoe stance, never quite knowing what to expect next, and are plagued with inner fears and outer resentments; when you are forever fighting a degenerating sense of "nobodiness"then you will understand why we find it difficult to wait. 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