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3 years ago

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Mathematics

1 answer:

stiks02 [169]3 years ago

8 0

I’m not sure if i understand…

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Explanation on linear equations

Usimov [2.4K]

y=mx+b where m is the slope and b is the y intercept.

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3 years ago

Prove z + z + z + z = 4z. Replace each step with the correct equivalent expression based on the given property or operation. Dra

Olenka [21]

Answer:

Step 1: $z*1+z*1+z*1+z*1=$

Step 2: $z(1+1+1+1)=$

Step 3: $z*4=$

Step 4: $z*4 = 4z$

Step-by-step explanation:

Given

$z+z+z+z = 4z$

Required

Match the steps with equivalent properties

Step 1: Multiplicative Identity Property

This states that:

$x = 1 * x$

So, the expression becomes:

$z*1+z*1+z*1+z*1=$

Step 2: Distributive Property

This states that:

$ab + bc = b(a+c)$

So, the expression becomes

$z*1+z*1+z*1+z*1=$

$z(1+1+1+1)=$

Step 3: Addition

Here, we simply add the expressions in the bracket

$z(1+1+1+1)=$

$z(4) =$

$z*4=$

Step 4: Commutative Property of Multiplication

This states that:

$ab=ba$

So, we have:

$z*4=$

$z*4 = 4*z$

$z*4 = 4z$

4 0

3 years ago

The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the

Inessa [10]

Answer:

Step-by-step explanation:

If y is directly proportional to x, then the formula for that is a linear one:

y = kx, where k is the constant of proportionality. In our situation, if the pressure is directly proportional to the temp, then our formula is

P = kT. We need to find that value of k. Plug in what we have:

6 = k(440) so

k = .01363636 or as an equivalent fraction,

$k=\frac{3}{220}$

Now that have that value of k, we can use it in the formula again, this time with a different value for T to solve for P.

$P=(\frac{3}{220})380$ so

P = 5.181818 or as an equivalent fraction,

$P=\frac{513}{100}$

3 0

3 years ago

I need help with this question

olganol [36]

Answer:

Step-by-step explanation: what exactly are you asking?

3 0

4 years ago

The formula A=6V exponent 2/3 relates the surface area A, in square units, of a cube to the volume V, in cubic units. What is th

Sidana [21]

Answer:

729 in³

Step-by-step explanation:

Fill in the given numbers in the formula and solve for V.

... A = 6V^(2/3) . . . . . . the given formula

... 486 = 6V^(2/3) . . . . with the given area filled in

... 81 = V^(2/3) . . . . . . . divide by 6

... 81^(3/2) = V . . . . . . . raise to the 3/2 power. (2/3)·(3/2) = 1, so we have V on the right

... 729 = V . . . . in³

_____

You may have noticed that (81 in²)^(3/2) becomes 729 in³. The exponent operations work on the units, too.

7 0

3 years ago