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3 years ago

Express 1.454545.........+0.4555555.............in the form of p/q,

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer:

1.91010005

Step-by-step explanation:

good luck my friend

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A 3-dimensional shape is made of 36 unit cubes, without any gaps. What is the volume of the shape?

fomenos

Answer:

36 unit

Step-by-step explanation:

The number of unit cubes in the shape = 36 unit cubes

The dimension (volume) of each cubes = 1 unit³

The type of shape = 3-dimensional

The arrangement of the cubes in the shape = Without gaps

The volume of a 3-dimensional shape made of a number of unit cubes without gaps is equal to the sum of the unit cubes

Therefore;

The volume of the 3-dimensional shape that consists of 36 unit cube, V = (1 + 1 + 1 +...+ 1) unit³ = 36 unit³

The volume of the 3-dimensional shap³e, V = 36 unit³

7 0

3 years ago

Solve the system of linear equations and check any solutions algebraically.

never [62]

Answer:

$\boxed{\sf \ \ x = 9, \ y = -5, \ z = 5 \ \ }$

Step-by-step explanation:

Hello,

(1) 2x + 4y + z = 3

(2) x - 2y - 3z = 4

(3) x + y - z = -1

From (3) we can write z = x + y + 1 and we replace in (1)

2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2

(1') 3x + 5y = 2

and we replace in (2)

x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7

(2') -2x - 5y = 7

(1') + (2') gives

3x - 2x + 5y - 5y = 2 + 7 = 9

x = 9

we replace in (1')

3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5

y = -5

and then in (3)

9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5

z = 5

hope this helps

3 0

4 years ago

Read 2 more answers

Ryan needs 1/8 pound of chicken to make one cup of chicken dip. He has 3/4 pound of chicken. Ryan calculated that he

Kisachek [45]

Answer:

Ryan isn't correct.

Step-by-step explanation:

If Ryan wants to make exactly 3 cups of dip, he would need 3/8 pounds of chicken.

1/8(3)=3/8 pounds.

3/4, or 6/8 pounds of chicken doesn't represent 3 cups, it's for 6 cups of dip.

8 0

3 years ago

Read 2 more answers

How do u show Ur work to the problem<br> -6p+8p=-16+4p

suter [353]

-6p+8p=-16+4p
Combine like terms
2p=-16+4p
-4p -4p
-2p=-16
/-2 /-2
P=8

4 0

3 years ago

How does the graph of

Effectus [21]

Answer:

Here we have:

f(x) = 2^x

g(x) = 0.5*2^(x - 3) - 1

We want to compare g(x) and f(x).

The first thing we should do here, is to define the transformations used.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Horizontal translation:

For a function f(x), a horizontal translation fo N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical dilation:

For a general function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Ok, now let's start with f(x), and try to use transformations to construct g(x).

We start with f(x).

If we start with a vertical dilation of scale factor k = 0.5, then:

g(x) = 0.5*f(x)

if now we apply a horizontal translation of 3 units to the right, we get:

g(x) = 0.5*f(x - 3)

if now we apply a vertical translation of 1 unit down, we get:

g(x) = 0.5*f(x - 3) - 1

Replacing by the actual function we get

g(x) = 0.5*2^(x - 3) - 1

So we got g(x).

Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.

7 0

3 years ago