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Debora [2.8K]
3 years ago
10

Identifying a constant of variation question R= ?

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0
Pressure and Volume are inversely related as:

P= \frac{R}{V}

We can also write it as:

PV=R

R is the constant of proportionality. Using the first row of given table, we can write:

2(4.155)=R \\  \\ 
R=8.31

Thus, the value of R, the universal gas constant is 8.31
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Find the volume of the composite figure. please!
Irina-Kira [14]
Volume= Length * width ( aka Base ) * height 

Break up the figure into easier figures, a small square and a bigger square.

Small square- 3*2*1 = 6 cm

Large Square- 7*6*1 = 42 cm

42 + 6 = 48 cm. But wait! You have to take one more step, which is minus-ing 6 from 48. Why? Notice that there is a little area where a side of the small square meets the bigger square. That little area is worth 3 cm ( length is 3, height is 1 cm ) times 2 ( 3 cm is one side, another 3 cm is the other side from the other square ) = 6 cm.

Your total answer should be 42. ( or 48, if your teacher doesn't count the area where the squares meet/join together ).

3 0
3 years ago
Read 2 more answers
The graph of y=x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
omeli [17]

Answer:

y = (-x)^3 - 4

Step-by-step explanation:

Ok, for the function:

y = x^3

When x = 0, we have:

y = 0^3  = 0

So the original graph passes through the point (0, 0)

If we look at the given graph, we can see that the y-intercept (the value of y when x = 0) is:

y = -4

So, this is the graph of y = x^3 moved down 4 units.

You can also see that the graph goes downward as x increases (and up as x decreases) while for the function:

y = x^3

as x increases, we should see that y also increases.

Then we have a reflection across the x-axis.

Ok, now let's describe a vertical shift.

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

g(x) = f(x) + N

if N is positive, the shift is upwards

if N is negative, the shift is downwards.

And for a function f(x), a reflection across the x-axis is written as:

g(x) = - f(x)

Here we first apply the reflection across the x-axis, so we get:

g(x) = -f(x)

now we apply the shift 4 units downwards

g(x) = - f(x) - 4

replacing f(x) by our function, x^3

we get:

g(x) = -x^3 - 4

And because of the odd power, we can write:

-x^3 = (-x)^3

Then the function is:

g(x) = (-x)^3 - 4

The correct option is the last one.

y = (-x)^3 - 4

3 0
3 years ago
Which expression is a factor of 3xy + 2x – 18y – 12?
aleksandr82 [10.1K]

x+6 is the right one


4 0
3 years ago
A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25cm long. What are the l
Bas_tet [7]

Answer:  x =  14.43

Step-by-step explanation:

The Pythagorean Theorem states the following:  

a^2 + b^2 = c^2  

Make one side of the triangle x  

Make the second side of the triangle 2x  

Now, you can plug the values into the equation,  right?  

x^2 + 2x^2 = 25^2 or 625  

3x^2 = 625

Divide each side by 3 and you are left with:  

x^2 =  208.33

Now, take the square root of 208.33

x =  14.43

That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side

5 0
3 years ago
Read 2 more answers
Answer please #1-4 !!!!!!
Darya [45]

Answer: I can't see the image

6 0
3 years ago
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