Pleasez help i have to complete this by the end of the 10 min

The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.

Let x be the side of the square to remove. Then the volume of the box is:

V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³

To find the maximum volume, differentiate and set it to 0:

V'(x) = 324 - 144x + 12x²

0 = x² - 12x + 27

0 = (x - 9)(x - 3)

x = 3 or 9

When x = 3,

V"(x) =-144+24x

V"(3) =-144+72=-72<0

so volume is maximum at x=3

Therefore the box is 12x12x3 and the volume is 432.

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Answer:

B. Obtuse

Step-by-step explanation:

An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Answer:

22.97

Step-by-step explanation:

17 divided by pi is 5.41

5.41 divided by 2 is 2.075

r^2(pi)

is 2.075 x 2.075 x 3.41 is 22.97

Answer:

Hope the picture will help you.................

Pamela's average annual percentage gain was = 7.7%

The start up capital (P) = $10500

The simple interest (SI) = $3250

Time (T) = 4 years

Rate = ?

But SI = P × T × R /100

Make R the subject of formula,

R = SI × 100/P × T

R = 3250 × 100/ 10500 × 4

R = 325000/ 42000

R = 7.7%

Therefore, Pamela's average annual percentage gain was = 7.7%

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Answer:

5/24

Step-by-step explanation:

Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.

5/8 · 1/3

Hope that helps!

Answer:

it would be  6 (5 + 7) = 30 + 42 = 72

Step-by-step explanation:

hope this helps if not please let me know

Answer:

true option is B

Step-by-step explanation:

true option is B

Answer:

282 ft

Step-by-step explanation:

Area of 2 triangles = 6+6

= 12 ft

Area of 3 rectangles = 90+90+90

= 270 ft

therefore

the surface area = 12 + 270

= 282 ft

I think that I am right

Answer:

  35 cm

Step-by-step explanation:

Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).

The perimeter formula tells you the perimeter is ...

  P = 2(L +W)

__

The cardboard perimeter will be ...

  P' = 2((L +2) +(W +2)) = 2(L +W +4)

  P' = 2(L +W) +8

  P' = P +8

If the original perimeter is 27 cm, the cardboard perimeter is ...

  P' = 27 +8 = 35 . . . . cm

The perimeter of the cardboard is 35 cm.

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

Answer:

(7+3)

After that you do (6+8)

Explanation:

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

See below

Step-by-step explanation:

x = hours

Payless charges = 50 + 60x

Squad charges  = 80 + 50x    when are they equal ?

50 + 60x = 80 + 50x

 x = 3 hours

Surface area = 2 * ( 10 *5  + 5*3  + 3*10) =  190  ft^2  

Answer:

The game costs 36$ dollars.

Step-by-step explanation:

2/3 of 36 is 24 :p

The total cost of the game Dante wants to buy is 26 dollars.

A fraction describes some parts of a certain quantity. Fractions are of two types one is a proper fraction and another is an improper fraction. In a proper fraction, the numerator is smaller than the denominator and n improper fraction numerator is greater than the denominator.

Assuming The total cost of the game is x dollars.

Given that 24 dollars is (2/3)rd of the total cost of the game.

So we can write 24 is (2/3)rd of the total cost of the game.

∴ 24 = (2/3)×x.

24 = (2/3)x.

x = 24×(3/2).

x = 12×3.

x = 36 dollars.

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Answer:

first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Not passing through origin (it's cosine)

Period:-

Now

Frequency:-

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]

Carter can line the books up on his bookshelf in 24 different ways.

Step-by-step explanation:

but that is really, really simple.

is the problem that you don't know what a perimeter is ?

a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.

that means you would have to go along every side until you reach the starting point again.

therefore, the perimeter is simply the sum of all side lengths.

P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds

the height does not play any role in this (but it would be important to calculate the area).

I don't understand these huge numbers you have there in the " P =" line.

where are they coming from ? in any case they have nothing to do with this quadrilateral.

The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.

The number of bean bags in the instructor's box is 68.

Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.

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Answer:

17

Step-by-step explanation:

the number that has the virible with it u divide that number with the number without the varible so 153/9 = 17 and 9k/9=1 so it is 17 the answer is what you got for the number without the varible

Answer:

2

Step-by-step explanation:

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]

to find the number of yellow leaves you'll have to multiply number of red leaves she counted by 3.

8×3

=24

Linda counted 24 yellow leaves.

Linda counts 24 yellow leaves in total

The number of red leaves is given as:

Red = 8

The statement 3 times as many yellow leaves as red leaves means that:

Yellow = Red * 3

So, we have:

Yellow = 8 * 3

Evaluate the product

Yellow = 24

Hence, Linda counts 24 yellow leaves in total

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Answer:

560 ft^2

Step-by-step explanation:

You need to find the surface area of the walls

wall 1 10*4 = 140

wall 2 10*4 = 140

wall 3 10*4 = 140

wall 4 10*4 = 140

140 +140 +140 +140= 560

Answer:

from my side it's blurry

Margin of error = 0.8226401

Confidence interval = (9.17736,10.82264)

We have given data for one week recorded for 6 plants.

With a sample standard deviation of 1 inch and a sample mean of 10 inches.

For this sample, it is given that,

Sample size = n = 6

Sample SD = s = 1

Sample mean = x = 10

At a 0.10 significance level, the critical point is with t-distribution (n-1)df=5 df,

t*  =2.015048

Margin of error = E=2.015048*s/ √n = 0.8226401

Confidence interval

= (9.17736,10.82264)

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Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132

Answer:

6 1/2 Grams

Step-by-step explanation:

Hope this helped!!

The weight of Leo's fish from kilograms to grams is 6500 grams

Kilograms is the "SI unit of mass (equivalent to approximately 2.205 lb), first introduced as a unit of mass for the metric system".

According to the question,

Leo catch a total 6.5 kilograms of fish. He wants to convert kilograms into grams.

Formula to convert kilograms into grams 1 kilograms = 1000 grams

In order to find kilograms into grams only if multiply given kilogram into 1000.

6.5 × 1000 = 6500 grams

Hence, the weight of Leo's fish from kilograms into grams is 6500 grams.

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Answer:

Step-by-step explanation:

hello :

p(x) = 5(x + 3)2 – 45

the vertex is the point : A(-3 ; -45)

minimum -45

the axis of symmetry  is the line when an equation is : x =  -3