factorise fully
3x^3 - 9x​

9514 1404 393

Answer:

  8 cm

Step-by-step explanation:

It is convenient to write the proportion with the unknown (width) on top:

  width/length = 4/9 = w/(18 cm)

Multiplying by 18 cm gives ...

  w = (18 cm)(4/9) = 8 cm

The width of the rectangle is 8 cm.

Answer:

The answer is 8.

Step-by-step explanation:

I did a test with this question on it.

This was the correct answer.

YOUR WELCOME!!! HOPE IT WAS HELPFUL :)

215/9

= 23.888888........

It is written as shown in the picture

Answer:

wouldn't be $240 why u keep deleting my answer

Answer:

?

Step-by-step explanation:

awetfhgyjuhk

Answer:

The sum of 89 and 45

Step-by-step explanation:

Because the sum of 89 and 45 is 134 and the difference of 89 and 45 is 44. And 134 > 44

Answer:  1.  [tex]\frac{19}{18}=n[/tex]

               2.  x=4

Step-by-step explanation:

[tex]\frac{11}{6}-\frac{7}{9}=n[/tex] First, you have to subtract [tex]\frac{7}{9}[/tex] from both sides to have n by its self.

[tex]\frac{33}{18}-\frac{14}{18}=n[/tex] Then find the common denominator. And subtract it

[tex]\frac{19}{18}=n[/tex]

6.2-2.2=x Subtract 2.2 from both sides to have x by its self.

4=x

The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.

By fundamental algebra theorem we need at least three no coplanar different points to graph quadratic functions. First, we determine 5 different points, then we pass the curve through the five points and finally we identify the roots and the vertex.

If we know that (- 16, - 480), (- 12, - 320), (- 8, - 192), (- 4, - 96), (0, - 32), then the graph of the quadratic function is shown in the image.

The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.

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Answer:

64

Step-by-step explanation:

16 divided by 0.25 gives you 64 .... welcome

Answer:

64 km/h

I answered it correctly on a mid term

Answer:

1 gallon of gas= 38 miles

Step-by-step explanation:

152÷4= 38.

Answer:

6 liters

Step-by-step explanation:

2 liters of milk will need 6 liters of water.

Given is that a recipe says - "3 parts water to 1 part milk".

Now, we can write that -

3 parts water needs 1 part milk

This means, 1 litre milk needs 3 liters of water.

Then, 2 liters of milk will need (2 x 3) = 6 liters of water.

Therefore, 2 liters of milk will need 6 liters of water.

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Answer:hemisphere

Step-by-step explanation:

The volume of the hemisphere is greater when x = 2.

The formula for calculating the volume of a hemisphere is expressed as:

[tex]V=\frac{2}{3} \pi x^3[/tex]

Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:

[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]

Next is to get the volume of a cube expressed as:

[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]

Hence the volume of the hemisphere is greater when x = 2.

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Answer:

All angles in a triangle add up to 360

360-100-50 = 210

x = 210

Step-by-step explanation:

Answer:

Vertical Angles...............

Answer:

no

Step-by-step explanation:

Answer:

-6/8 +5/8 and -1/8

Step-by-step explanation:

just got done doing it.

Answer:

solve for V= pier^/3

solve for R=Square root3Vpie over pie

Step-by-step explanation:

V=multiply 1/3(pier^2)

R= Take root of both sides and solve

Answer:

dividing by a fraction (1/3) is equivalent to multiplying by its inverse (3)

3+%2A+v+%2F+%28pi+%2A+r%5E2%29 = h

Step-by-step explanation:

Answer:14.73 your welcome

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator by the denominator.

[tex]\frac{18}{4}[/tex]

[tex]4\times4=16[/tex]

[tex]18\div4=4^2[/tex]

[tex]4\frac{2}{4}[/tex]

Reduce:

[tex]2\div2=1[/tex]

[tex]4\div2=2[/tex]

[tex]=4\frac{1}{2}[/tex]

Hope this helps.

Answer:

1expn=3p

2expn=8-9p

3p(8-9p)

Answer:

It is not a function.

Step-by-step explanation:

This is not a function, because there is more than one y value when x = -1.  A function has one value for each x value.

Answer:

M=K*L

(K is the constant we use)

when L=35cm, M=80,

meaning K=80/0.35=228.571428571

so when L=0.3

we do 0.3*228.571428571=68.5714285713

rounded to 2dp= 68.57kg

9514 1404 393

Answer:

  50.38 kg

Step-by-step explanation:

The mass is proportional to the cube of edge length, So, if the edge length is decreased by a factor of 30/35 = 6/7, the mass is decreased by a factor of (6/7)³. That is, the smaller cube will have a mass of ...

  (80 kg)(6/7)³ ≈ 50.38 kg

__

If you want to write an equation, you can write the equation for the proportionality:

  M = kL³

  80 kg = k(0.35 m)³

  k = 80/0.35³ kg/m³

Then for the shorter length, we have ...

  M = k(0.3 m)³ = 80(0.3/0.35)³ kg = 80(6/7)³ kg ≈ 50.38 kg . . . . as above

Answer:

The unit rate is 16

Answer:-2/3

-3-2 1/3

which is also

-3 -7/3

which is also

-9/3-7/3

which is

-2/3

Step-by-step explanation:

Start with the series representation for eˣ.

eˣ = ∑ₙ₌₀°° xⁿ / n!

Substitute -x².

e^(-x²) = ∑ₙ₌₀°° (-x²)ⁿ / n!

e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

Multiply by x².

x² e^(-x²) = x² ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺²) / n!

Integrate both sides (use power rule).

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺³) / ((2n + 3) n!)

Evaluate between x=0 and x=0.5.

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (0.5²ⁿ⁺³) / ((2n + 3) n!)

This is an alternating series, so use alternating series estimation.

(0.5²⁽ⁿ⁺¹⁾⁺³) / ((2(n+1) + 3) (n+1)!) ≤ 0.001

(0.5²ⁿ⁺⁵) / ((2n + 5) (n+1)!) ≤ 0.001

n ≥ 1

So the estimate of the integral is the sum of the first two terms (n=0 and n=1).

I = (-1)⁰ (0.5³) / ((3) 0!) + (-1)¹ (0.5²⁺³) / ((2 + 3) 1!)

I = (0.5³) / 3 − (0.5⁵) / 5

I = 1/24 − 1/160

I = 17/480

I = 0.0354

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

Answer:

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

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

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)

Answer:

id c hot  hf hdjhdw fhwjfehf v;e

Step-by-step explanation:

id c h

Answer:

2/3

Step-by-step explanation:

theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3

Answer:

Amount of interest =  $1,805 (Approx)

Step-by-step explanation:

Given:

Amount invested = $180,000

Annual rate = 6%

Number of days = 61 days

Find:

Amount of interest

Computation:

Amount of interest = 180,000 x 6% x 61/365

Amount of interest =  $1,805 (Approx)