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andrey2020 [161]
2 years ago
6

The figure below shows a brick in the shape of a rectangular prism. 6 cm 8 cm 14 cm (a) Use the calculator to find the surface a

rea and volume of the brick. Make sure to include the correct units. ст cm? 3 cm Surface area: Х a ? Volume: 1 (b) The brick will be painted. Which measure will help the painter know how much paint to buy? Surface area O Volume (c) The brick is made of concrete. Which measure would be used to find the amount of concrete needed? Surface area O Volume.​
Mathematics
1 answer:
umka21 [38]2 years ago
6 0

Answer:

The Total Surface Area = 2(84+48+112) = 2× 244

= 488 cm²

Step-by-step explanation:

Volume of brick = 8×14×6

= 672cm³

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The equation of state of a certain gas is given by p = rt/vm + (a + bt)/vm2, where a and b are constants. find (∂v/∂t)p.
kotegsom [21]
Given:
p= \frac{RT}{vm} + \frac{a+bT}{vm^{2}} \\or\\v= \frac{1}{p}[ \frac{R}{m}  + \frac{a+bT}{m^{2}}]

Answer:
When p is held constant,
\frac{\partial v}{\partial T} |_{p}= \frac{1}{p}[ \frac{R}{m}+ \frac{b}{m^{2}}]
5 0
3 years ago
If three times a number is added to twice the reciprocal of the number the answer is 5 . find the number(s)
frozen [14]

Answer: The number is 1.

Step-by-step explanation:

Here is the equation:

2(1/N) + 3N = 5.

Substitute 1 into the equation.

2(1/1) + 3 * 1 = 5.

2(1) + 3 * 1 = 5.

2 + 3 * 1 = 5.

2 + 3 = 5.

5 = 5.

1 is a solution.

I also found out that any number greater than 1 makes the equation unbalanced, where the left side becomes greater than the right.

And as for negative numbers, they make the left side smaller than the right.

So the only solution is the integer 1.

8 0
4 years ago
The ratio of men to women in a certain factory is 3 to 4. There are 222 men. How many workers are there?
IgorLugansk [536]
The ratio of men to women in a certain factory = 3:4
The total number of men in the factory = 222
Let us assume the common ratio to be = x
Then
3x = 222
x = 222/3
  = 74
Then
The total number of women workers in the factory = 4 * 74
                                                                                 = 296
So
The total number of workers in the factory = 296 + 222
                                                                    = 518
From the above deduction we can easily conclude that there are a total of 518 workers in the factory.
8 0
3 years ago
Jenny has 4 more 20-cent coins than 50-cent coins. The total value of her 50-cent coins is $0.40 more than that of her 20-cent c
masya89 [10]

Answer:

the answer to that equation would be 27.50

7 0
2 years ago
Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local mi
Andre45 [30]

Answer:

Critical points are 1 and -1

Maximum at x=1

Minimum at x=-1

Step-by-step explanation:

We are given that a function

f(x)=3tan^{-1}(x)-\frac{3}{2} x+5 on (-\infty,\infty)

We have to find the critical points of the function.

To find the critical point we will differentiate function w.r.t x and then substitute f'(x)=0

f'(x)=\frac{3}{1+x^2}-\frac{3}{2}

\frac{d(tan^{-1}x)}{dx}=\frac{1}{1+x^2}

f'(x)=0

\frac{3}{1+x^2}-\frac{3}{2}=0

\frac{3}{1+x^2}=\frac{3}{2}

1+x^2=2

x^2=2-1=1

x=\pm1

Therefore, the critical points of the given function are 1 and -1.

f(0)=3-\frac{3}{2}=\frac{3}{2}

f'(1)=0

f'(2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}

When we goes from 0 to 2 then the sign of derivative  change from positive to negative .Therefore, function has local maximum at x=1.

f(-2)=\frac{3}{5}-\frac{3}{2}=-\frac{9}{10}

f(-1)=0

f(0)=\frac{3}{2}

When we goes form -2 to 0 then the sign of derivative change from negative to positive .Hence , function has local minimum at x=-1

Hence, critical points are local maximum and local minimum .

3 0
3 years ago
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