A tool box has the dimensions of 10 in by 4 in by 3 in. If Andrea plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?

Answer:

(s - 1)(s² + s + 1)

Step-by-step explanation:

s³ - 1 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

s³ - 1

= s³ - 1³

= (s - 1)(s² + s + 1)

The required factorized form of the given expression is (s - 1)(s² + s + 1).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

We have been given that the expression below as

s³ - 1

We have to determine the factor of the given expression

As per the question, we have

s³ - 1

This is a difference between cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

⇒ s³ - 1 = s³ - 1³

⇒ (s - 1)(s² + s + 1)

Thus, the required factorized form is (s - 1)(s² + s + 1).

Learn more about the Factorization here:

brainly.com/question/4184435

#SPJ2

Answer:

e=g(h-f) or e=gh - gf

Step-by-step explanation:

Answer:

e = hg - fg

Step-by-step explanation:

Given

[tex]\frac{e}{g}[/tex] + f = h ( multiply through by g to clear the fraction )

e + fg = hg ( subtract fg from both sides )

e = hg - fg

Answer:

17.2 cm

Step-by-step explanation:

Answer:

(5x² +7x -26) units²

Step-by-step explanation:

[tex]\boxed{area \: of \: rectangle = length \times breadth}[/tex]

Area of shaded region

= Area of larger rectangle -area of smaller rectangle

Area of larger rectangle

= (3x -4)(2x +2)

= 3x(2x) +3x(2) -4(2x) -4(2) (Expand)

= 6x² +6x -8x -8

= 6x² -2x -8

Area of smaller rectangle

= (x -6)(x -3)

= x² -3x -6x +18 (Expand)

= x² -9x +18

Area of shaded region

= 6x² -2x -8 -(x² -9x +18)

= 6x² -2x -8 -x² +9x -18

= 5x² +7x -26

Answer:

610 m

Step-by-step explanation:

Split into two rectangles

5(50)=250 m

18(25-5)=360 m

250 m + 360 m +610 m

Answer:

2

Step-by-step explanation:

Point on the graph: (0, -3) and (3, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+3)/(3-0)

m=6/3

m = 2

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

Answer:

C

and 10%

Step-by-step explanation:

Answer:

Shen invested $9000.

Step-by-step explanation:

The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.

Here, $2160 = P*0.06*(4 yrs), so:

         $2160

P = ----------------- = $9000

            0.24

The value of x from the given figure is 40 degrees

Geometry is a way of relating lines and angles using theorems;

To get the value of x, we will use the expression based on the circle theorem:

80 = 1/2(200 - x)

Cross multiply

80 * 2  = (200 - x)

160 = 200 - x

x = 200 - 160

x = 40

Hence the value of x from the given figure is 40 degrees

Learn more on circle theorem here: https://brainly.com/question/25938845

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

Answer:

326.56 inches

Step-by-step explanation:

hope this helps

Answer:12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of rectangle = 5*4

=> 20

Area of hemisphere = [tex]\pi[/tex]r^2 / 2

=> 3.14 * 4 /2

=> 6.28

Total area => 26.28

Answer:

angle DFE

Step-by-step explanation:

Answer:

2+2 equals 4

Step-by-step explanation:

Answer:

i cant find the answer

Step-by-step explanation:

sorry

190% of 20 is 38.

To put it simply, multiply 190 by 20 (which is 3800) and get rid of the zeros. Hope this helped! :]

Answer:

18 L

Step-by-step explanation:

36 packs * 500 mL =  18000 mL

18000 mL / 1000 = 18 L

Answer:

D.  40%

Step-by-step explanation:

The are 6 apples out of 15 fruit. To find the percentage, first write it as a fraction.

the answer of this is 19.5 pounds

Answer:

1.732

Step-by-step explanation:

cube root of 81 is

=1.732

Answer: 3(cos(90degrees)+isin(90degrees))

Answer:

1. -3/1

2.negative

3.$18

Step-by-step explanation:

since the graph is going down, it is negative, and look at the ending points on the x and y-axis. 18/6 is 3. so the slop is -3 :)

Answer:

1. -3

2. negative

3. $18

Step-by-step explanation:

1. slope is rise/run so...

-3/1=-3

2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3

3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)

Answer:

go through the other door and get your dog... and then just wait for a parent to fix the door so you dont rip it of the rims

Step-by-step explanation:

Answer:

Just go out through the backdoor and save your dog and wait for your parents duh

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

Answer:

y = 2x - 5

Step-by-step explanation:

Hi,

y = 2x + b

1 = 2 (3) + b

1 = 6 + b

-5 = b

y = 2x - 5

I hope this helps :)

Decimal 3rd row: 0.75

Fraction 3rd row: 75%

Decimal last row: 0.15

Fraction last row: 15%

Answer:

75%, 0.75

Step-by-step explanation:

The answer is 75% because if you do the math it takes 6 15's to reach the requirement of the Fraction that is on the right. So that would make the decimal form be 0.75. If you find any fault in my answer let me know. Thanks. Have a good day!