Convert the following Decimal to a Fraction (reduce to the lowest terms): .176 =

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Answer 1
Answer: Convert the following Decimal to a Fraction (reduce to the lowest terms): .176 =

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Find the greatest common factor of 16 and 9.

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The greatest common factor 16 and 9 is one.

The factors of 16 are 1, 2, 4, 8, 16.

The factors of 9 are 1, 3, 9.

The only factor common to both is 1.

Consider the graphs of f(x) and g(x). If g(x) = f(x)+k, find the value of k.

edit: added image

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Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

Find the surface area and volume of a cube with sides of 5.5 cm each.

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Answer:

V= 166.375cm^3 and As = 181.5cm^2.

Step-by-step explanation:

First, let's calculate the volume. The volume of a cube is V= s^3 where s is the side. Then,

V = (5.5cm)^3 = 166.375cm^3

Now, the surface area will be the sum of the areas of each face. Each face of the cube is a square and the area of a square is A=s^2, also we know that the cube has 6 faces, then the surface area of the cube will be

As = 6*s^2, so

As = 6*(5.5cm)^2

As = 6*30.25cm^2

As = 181.5cm^2.

The equation to find the surface area of a cube is: 2*base+lateral area. The base of a cube is just the area of the square. So you would multiply 5.5*5.5. That would equal 30.25
The equation to find the lateral area is: perimeter*height. So you would add 5.5 four times since its a square. It would equal 22. Then you would multiply it by the height of which is also 5.5. 5.5*22=121.

Now that you have all the information just plug it back in the equation.(side note, because cubes are prisms you have two bases which is why you multiply them by two.) 2*30.25+121=181.5

your awnser is 185.5cm squared

Find the value of x RT=4x+10 SW= 5x-20

Answers

Well, as you can see from the rectangle RT and SW should have equal lengths. So to find the value of x, we need to do.....

4x + 10 = 5x - 20
-x + 10 = -20              (Subtraction property of equality)
-x = -30                      (Subtraction property of equality)
x = 30                        (Division property of equality)

To check our work:

4(30)+10 = 130
5(30)-20 = 130

So, the value of x is 30!


If p is the smallest of four consecutive even integers what is their sum interms of p. ​

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Answer:

4p + 12

Step-by-step explanation:

p + p+2 + p+4 + p+6 = 4p + 12

What is the graph line for this problem?
x+3y=9

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x+3y=9\ \ \ \Rightarrow\ \ \ 3y=-x+9\ \ \ \Rightarrow\ \ \ y=- (1)/(3) x+3\n\nx=0\ \ \ \Rightarrow\ \ \ y=- (1)/(3) \cdot0+3=0\ \ \ \Rightarrow\ \ \ point:\ (0;3)\n\ny=0\ \ \ \Rightarrow\ \ \ x+3\cdot0=9\ \ \ \Rightarrow\ \ \ x=9\ \ \ \Rightarrow\ \ \ point:\ (9,0)