Type the correct answer in the box. Use numerals instead of words.
Consider this expression.

Answer:

[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]

Step-by-step explanation:

[tex](3ab+2c)^3[/tex]

[tex]=(3ab+2c)[/tex] × [tex](3ab+2c)[/tex] ×

[tex]=(3ab+2c)(9a^2b^2+12abc+4c^2)[/tex]

[tex]=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)[/tex]

[tex]=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3[/tex]

[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]

hope this helps....

Answer:

desculpa mas não sei essa

Answer:

32

Step-by-step explanation:

8x4=32

Answer:need more time to solve-

Step-by-step explanation: A= b x h

k<28

Step 1: Simplify both sides of the inequality.

−k+28>0

Step 2: Subtract 28 from both sides.

−k+28−28>0−28

−k>−28

Step 3: Divide both sides by -1.

−k /−1  >  −28 /−1

k<28

Answer:

k < 28

Step-by-step explanation:

Given inequality :-

Last Option is correct .

Answer:

1st graph: slope is -1 and equation is y=-x+5

2nd graph: slope is 2/5 and equation is y=2/5x-3

Step-by-step explanation:

y=mx+b is slope-intercept form.

It's call that because this forn tells us the slope,m, and the y-intercept,b.

The first graph you have identified b as 5 since you said the y-intercept was (0,5).

Now we just find slope by finding rise/run.

(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.

The equation for first graph is y=-1x+5 or y=-x+5.

So again you have no problem identifying the y-intercept which is b=-3.

Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.

19.ans> Given,

Side = 9 m

To,find: Area

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 9×9

We,know that,area of the square is = (side)² = 9×9 = 81 m

20.ans> Given,

Side= 7 cm

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 7 × 7

= 49 cm

Answer:  Graph 2

Explanation:

The graph of f(x) = x^2 is a parabola with the vertex at the origin. If we replace every x with x-2, then we shift the xy axis 2 units to the left, giving the illusion the parabola shifts 2 units to the right.

In short, going from y = x^2 to y = (x-2)^2 means we shift the curve 2 units to the right. This is shown in the second graph.

Answer:

The experimental factor is the drug to alleviate inflammation paste form

Step-by-step explanation:

An experimental factor is an independent variable that is being controlled by the experimenter which are the input values which the experimenter sets specifically

In the given experiment, two teams, Team A and Team B are administered different treatments (inputs)

Team A is administered the paste form of the drug being experimented

Team B is administered a similar paste with no active ingredient

Therefore, the experimental factor is the drug being administered in paste form

Answer:

-0.80

1.66

0.26

2.56

-0.50

Step-by-step explanation:

The values are the probability values either to the right or left of a given z - value ;

The Z - values could be obtained using the standard normal distribution table or a calculator :

Using the Z probability calculator ;

Area to the left of z is 0.2119

1.)

P(z < z) = 0.2119

z = - 0.8

2.)

Area between - z and z = 0.9030

Area to the left of z = 0.9030 plus

Area to the right of z = (1 - 0.9030) / 2 = 0.097/2 = 0.0485

(0.9030 + 0.0485) = 0.9515

P(z < z) = 0.9515

z = 1.66

3.)

Area between - z and z = 0.2052

Area to the left of z = 0.2052 plus

Area to the right of z = (1 - 0.2052) / 2 = 0.7948/2 = 0.3974

(0.2052 + 0.3974) = 0.6026

P(z < z) = 0.6026

z = 0.26

D.)

The area to the left of z is .9948

P(Z < z) = 0.9948

z = 2.562

E.)

The area to the right of z is .6915.

P(Z < z) = 1 - 0.6915

P(Z < z) = 0.3085

z = - 0.5

Answer:

c = 5.5

Step-by-step explanation:

2 a + 5 c = 46.50

a + c = 15

a = 15 - c

2(15-c ) +5c = 46.50

30 - 2c +5c = 46.5

3c = 16.5

c = 5.5

Answer:

D

Step-by-step explanation:

The distance from - 2 to 10 is 12. 12/6 is 2, so 2 spaces across

Answer:

Graph B

Step-by-step explanation:

The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.

Answer:

Step-by-step explanation:

In step one she has added 1x to each side of the statement

in step two she has taken five away from both sides of the equation therefore simplifying the entire equation

in step three she divided both sides by three to have the unknown value on one side of the equation

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Answer:

∠3 = 142°

Step-by-step explanation:

L // M

∠2 = 38°    {Corresponding angles are congruent}

∠2 + ∠3 = 180   {Linear pair}

38 + ∠3 = 180

       ∠3 = 180 - 38

∠3 = 142°

the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38

Answer:

5 2/15

Step-by-step explanation:

Answer:

5 [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).

To get a mixed number, we are going to divide 77/15 using long division:

(I attached an image down below for you to understand better)

15 goes into 77 only 5 times with a remainder of 2.

So our whole number is 5

And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.

So your answer is 5 [tex]\frac{2}{15}[/tex]

Hope it helps (●'◡'●)

Step-by-step explanation:

the correct answer for the question is 85

We know that, in a triangle,

Exterior angle = Sum of interior opposite angles

So,

missing angle = 45° + 40°

=> missing angle = 85°

Answer:

a=21

b=69

c=42

d=138

Step-by-step explanation:

c is supplementary to d (which is 138), so c=180-138= 42.

angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.

angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.

Answer:

p = 1.2

Step-by-step explanation:

Bring 3.9 to the other side of the equation.

-10.9p = -13.08

p = 1.2

Answer:

B

Step-by-step explanation:

Answer:

The expressions that give the value of y are A - 3B and (1/3)A - B

The solution is (27/13, -60/13)

Step-by-step explanation:

We can see both equation A and equation B.

Equation A: 2x + (1/4)y = 3

Equation B: (2/3)x - y = 6

To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:

(13/4)y = -15

y = -60/13

you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)

Put y = -60/13 in equation A to get x:

2x + (1/4)(-60/13) = 3

2x = 3 + 15/13

2x = 54/13

x = 27/13

The solution is (27/13, -60/13)

211512945555694/653

Decimal: 323909564403.819336

Answer:

Simplify the expression.

36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3

Answer:

-8

Step-by-step explanation:

Plug in the values of each variable:

4(-6 + 3) - 2(-2)

Use PEMDAS:

4(-3) - 2(-2)

-12 + 4

-8

Answer:

-8

Step-by-step explanation:

* means multiply

just plug in the values

4 ( -6 + 3 ) - (2 * -2)

use pemdas

so parenthesis first

4 * -3 - (-4)

then multiply

-12 - (-4)

-12 + 4

-8

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Answer:

she can buy 0 to 12 bags but no more

Step-by-step explanation:

Answer:

find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.

Step-by-step explanation: