All categories

3 years ago

For what value of a does 9=1/27a-3

Mathematics

1 answer:

USPshnik [31]3 years ago

6 0

Answer:

a = 324

Step-by-step explanation:

9=1/27 a -3

value of a = ?

9=(1/27) a -3

9 + 3 = (1/27) a

12 = (1/27) a

12 x 27 = a

a = 324

You might be interested in

For a pair of triangular earrings how can you tell if they are similar?

Arlecino [84]

Polygons - here we just have triangles - are similar if the corresponding angles are congruent and the corresponding sides are in proportion. Polygons are congruent if in addition to corresponding angles be congruent, corresponding sides are congruent

5 0

2 years ago

Read 2 more answers

Aflați volumul paralelipipedului dreptunghic cu dimensiunile 3 cm , 10 cm și 8 cm.

vlabodo [156]

Speak in English please. I would be more pleased to help if you write in English.

4 0

3 years ago

Read 2 more answers

A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away

Tom [10]

Answer:

80 units

Step-by-step explanation:

v = 1/3 bh

v₁ = 1/3 * b * h₁ = 344

v₂ = 1/3 * b * h₂ = 301

v₁ / v₂ = h₁ / h₂ = 344 / 301

h₂ = h₁ - 10

h₁ / (h₁ - 10) = 344 / 301

344 * (h₁ - 10) = 301 * h₁

344* h₁ - 3440 = 301 * h₁

43 * h₁ = 3440

h₁ = 80

4 0

3 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

If the perimeter of a square is 68 feet, find the approximate length of its diagonal.A. 17 feet B. 24 feet C. 38 feet D.

Elanso [62]

Find the side length:

Side = 68/4 = 17

Now use Pythagorean theorem:

Diagonal = sqrt(17^2 + 17^2)

Diagonal = sqrt(289 + 289)

Diagonal = sqrt(578)

Diagonal = 24 feet

The answer is B. 24 feet

8 0

2 years ago