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sasho [114]
3 years ago
6

What if the 360 cubic-inch paving stones are 4 inches thick and any whole number length and width are possible? How many differe

nt paving stones could be made? Suppose that the cost of having stone is $2.50, plus $0.18 for every 4 cubic inches of concrete how much would each paving stone cost?
Mathematics
2 answers:
AleksAgata [21]3 years ago
6 0
Umm im gonna guess on this one because im not good at math lol
, 3.58?
Fed [463]3 years ago
5 0
Each stone would cost $2.68.
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Liquid A and liquid B are mixed to make liquid C.
natta225 [31]

Answer:

Density is defined as:

Density = mass/volume.

We know that:

For liquid A:

Density = 70kg/m^3

Mass = 1400kg

Then the volume is:

Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3

For liquid B:

Density = 280 kg/m^3

Volume = 30m^3

We can find the mass of liquid B as:

mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg

We know that liquid C is a mixture of liquid A and B.

Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:

Mass of liquid C = 1400kg + 8400kg = 9800kg

The same happens for the volume, then:

Volume of liquid C = 30m^3 + 20m^3 = 50m^3

Then the density of liquid C is:

Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3

6 0
3 years ago
Evaluate 2^2 3^2 4^2
zlopas [31]

Answer:29

Step-by-step explanation:

4 0
3 years ago
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The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q
Irina-Kira [14]

9514 1404 393

Answer:

  q = 40

Step-by-step explanation:

When the quadratic has roots p and r, it can be factored as ...

  (x -p)(x -r) = x² -(p+r)x +pr

So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...

  p + r = 14

  p - r = 6

  2p = 20 . . . add the two equations

  p = 10

  r = 14 -p = 4

The value of interest is then ...

  q = pr = (10)(4)

  q = 40

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The graph shows the roots to be 4 and 10, as we found.

3 0
3 years ago
Find the 67th term of the arithmetic sequence –17, -23, -29,...
Maksim231197 [3]

Answer:

T₆₇ = -413

Step-by-step explanation:

7 0
3 years ago
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Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
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