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Answer:  465

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

p³ - 216q³ ← is a difference of cubes and factors in general as

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

p³ - 216q³

= p³ - (6q)³

= (p - 6q)(p² + 6pq + 36q²) → C

Answer:

C. (p - 6q)(p² + 6pq + 36q²)

Step-by-step explanation:

Equation at the end of step 1

[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]

Trying to factor as a Difference of Cubes:

Factoring:  p^3 - 216q^3

Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into

(a-b) • (a^2 +ab +b^2)

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

[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]

[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]

[tex]a^{3} +0+0-b^{3} =[/tex]

[tex]a^{3} -b^{3}[/tex]

Check:  216 is the cube of 6

Check:  p^3 is the cube of p^1

Check:  q^3 is the cube of q^1

Factorization is:

[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]

Trying to factor a multi variable polynomial :

Factoring: p^2 + 6pq + 36q^2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final Result:

(p - 6q)(p² + 6pq + 36q²)

Answer:

$1.50 2/3

Step-by-step explanation:

I hope this helps :)

Answer:

600

Step-by-step explanation:

V = l * w * h

V = 10 * 3 * 20

V = 600

Answer:

V = 600 cm³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth, h is height )

Here l = 10, b = 3 , h = 20 , then

V = 10 × 3 × 20 = 600 cm³

Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

Answer :

1. { 2, 8 }

x² - 10x + 16 = 0

x² - 2x - 8x + 16 = 0

x ( x - 2 ) - 8 ( x - 2 ) = 0

( x - 2 ) ( x - 8 ) = 0

x - 2 = 0

x = 2

x - 8 = 0

x = 8

Therefore,

the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.

Answer:

[tex] x = 4 \sqrt{3} [/tex]

Step-by-step explanation:

By geometric mean theorem and Pythagoras theorem:

[tex] {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} [/tex]

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Explanation:

mpg = miles per gallon

To calculate the mpg, you divide the number of miles traveled over the amount of gallons used.

In Caroline's case, she traveled 410.7 miles and used up 22.2 gallons. Her car's mpg rating is 410.7/22.2 = 18.5 mpg which means that one gallon of gas will allow her to drive 18.5 miles.

Answer:

y+25=120

y = 120-25

so y= 95

Answer:

y=95 is the required answer of your question

hope it is helpful to you

Answer:

138 feet

Step-by-step explanation:

plug "3" into the expression by replacing "t" with "3"

-16t^2+83t+33

-16(3)^2+83(3)+33 (remember PEMDAS)

=-16(9)+249+33

=-144+282

=138 (I hope this helps)

Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.

Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.

The periodic table is composed of metals and nonmetals.

The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.

The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.

Learn more: https://brainly.com/question/25114219?

Answer: cage  I

Step-by-step explanation:

Given

43 gm of copper and 7 gram of other metal

Another cage has 83 gram of copper and 17 gm of other metals

Here, the percentage of copper is

For the first case

[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]

For the second case

[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]

So, the cage-I has more percentage of copper

Answer:

(4,10)

Step-by-step explanation:

   8x - 5y = -18

+  2x + 5y = 58

10x = 40

Dive both sides by 10.

x = 4

2x + 5y = 58

2(4) + 5y = 58

8 + 5y = 58

5y = 50

y = 10

Answer:

100 units^2

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=c^2 (area of square)

10=c (length of hypotenuse)

Therefore, the area of the square is 100 units^2

Answer: n=8

Step-by-step explanation: add 2 each time for y

Answer:

Answer = 22

Step-by-step explanation:

Linear Function is 2x-6, therefore f(14)=2*14-6=22

So 2*8-6=10

2*9-6=12

2*11-6=16

Answer:

They are parallel because they hold a same gradient which is 3/5

Answer:

the required number is 12

Answer:

Step-by-step explanation:

One third of number is 8 less than the three times of the number

The number is x, then:

Step-by-step explanation:

Line is passing through the point A (-3, 5) and the point B (0, -16)

a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7

b) y - intercept (b) = - 16

c) Equation of line

y = mx + b

y = - 7x + (-16)

y = - 7x - 16

Answer:

$563.50

Step-by-step explanation:

The computation of the amount that should be paid to Carole last week is shown below

Since she worked 40 regular hours and 6 overtime hours

For regular hours, the wage rate is $11.50

And, for overtime it would be

= $11.50  + $11.50 ÷ 2

= $11.50 + $5.75

= $17.25

So, the amount that should be paid is

= 40 × $11.50 + 6 × $17.25

=  $460  + $103.50

= $563.50

Answer:

Following are the responses to the give question:

Step-by-step explanation:

The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].

Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]

Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height

[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]

Answer:

7(9+n)=8

Step-by-step explanation:

I hope this is right :)))

Answer:

x = 14

∠ABD = 66

∠DBC = 24

Step-by-step explanation:

The sum of the two angles is 90 degrees, so:

3 (x + 8) + 2x - 4 = 90      (distribute 3)

3x + 24 + 2x - 4 = 90       (simplify)

5x + 20 = 90            (subtract 20 from both sides)

5x = 70            (divide both sides by 5)

x = 14

∠ABD = 3 (x + 8)       (plug in 14)

∠ABD = 3 (14 + 8)      simplify

∠ABD = 3 (22)

∠ABD = 66

∠DBC = 2x - 4       (plug in 14)

∠DBC = 2(14) - 4     (simplify)

∠DBC = 28 - 4

∠DBC = 24

To check, 66+24=90.

Answer:

The answer I got was

3(-26+8) = -54

2(-26)-4 = -56

Step-by-step explanation:

3(x+8)=2x−4

(3)(x)+(3)(8)=2x+−4(Distribute)

3x+24=2x+−4

3x+24=2x−4

Then subtract 2x from each side

Once then you have X substitute that number with X and you should get your answer.

So do 3(-26+8) and then 2(-26)-4 which then

3(-26+8)=

2(-26)-4 =

Answer:

X=-4, y=-5

Step-by-step explanation:

Y=2X+3

y=-x-9

substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:

-x-9=2x+3

-x-9+9=2x+3+9

-x=2x+12

-3x=12

x=-4

solve for y by inserting x value (2) into either equation

y=2x+3

y=2(-4)+3

y=-8+3

y=-5

check answer by inserting x and y into either equation to make sure they equal:

y=2x+3

-5=2(-4)+3

-5=-8+3

-5=-5

or

y=-x-9

-5=-(-4)-9

-5=-5

Answer: the bottom is A then C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by

Answer:

A = 65, B = 75

Step-by-step explanation:

x + x + 10 + 40 = 180

2x + 50 = 180

2x= 130

x = 65

Answer:

∠A = 65°

∠B = 75°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".

x + x + 10 + 40 = 180

2x + 50 = 180

2x = 130

x = 65

Now, we replace "x" with 65 to get ∠A and ∠B.

∠A = x = 65°

∠B = x + 10 = 65 + 10 = 75°

Answer:

240 km.

Step-by-step explanation:

The car travels 200km per hour. so multiply it by 1.2 and you get 240km.

Answer:

Sara bought 5 6 penny nails and 3 10 penny nails

Step-by-step explanation: