Three times 3^81 is equal to 9 to what power?

In the eighth grade 322 students voted for the new mascot to be a tiger this was 7/10 of the total number of students in the eig

Ad libitum [116K]

So first divide by 10 to get 32.2 then multiply by the remaining which is 3/10 so 3. 32.2 times 3 is 96.9 round up 97 add to 322 to get 419.
Your welcome

4 0

4 years ago

Please help me with this problem thank you soo much

olya-2409 [2.1K]

Answer:

A, 12:47

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A closed cylindrical vessel contains a fluid at a 5MPa pressure. The cylinder, which has an outside diameter of 2500mm and a wal

Julli [10]

Answer:

1) Increase in the diameter equals 3.5 mm

2) Increase in the length equals $0.0003724L_{i}$ where $L_{i}$ is the initial length of the vessel.

Step-by-step explanation:

The diametric strain in the vessel is given by

$\epsilon_{D} =\epsilon_{diam}-\nu \epsilon _{axial}$

We have

$\epsilon _{diam}=\frac{\sigma _{hoop}}{E}\\\\\sigma _{hoop}=\frac{\Delta P\times D}{2t}\\\\\therefore \epsilon _{diam}=\frac{\Delta P\times D}{2t\times E}$

Applying values we get

$\therefore \epsilon _{diam}=\frac{5\times 10^{6}\times 2.5}{2\times 20\times 10^{-3}\times 193\times 10^{9}}\\\\\therefore \epsilon _{diam}=\frac{5}{3088}$

Similarly axial strain is given by

$\epsilon _{diam}=\frac{\sigma _{axial}}{E}$

$\sigma _{axial}=\frac{\Delta P\times D}{4t}\\\\\therefore \epsilon _{axial}=\frac{\Delta P\times D}{4t\times E}$

Applying values we get

$\therefore \epsilon _{axial}=\frac{5\times 10^{6}\times 2.5}{4\times 20\times 10^{-3}\times 193\times 10^{9}}\\\\\therefore \epsilon _{diam}=\frac{2.5}{3088}$

Hence The effect of axial strain along the diameter is given by

$-\nu \epsilon _{axial}$

Applying values we get

$-\nu \epsilon _{axial}=-0.27\times \frac{2.5}{3088}=-0.0002185$

hence

$\epsilon _{D} =\frac{5}{3088}-0.0002185\\\\\epsilon =0.00140$

Now by definition of strain we have

$\epsilon _{D} =\frac{D_{f}-D_{i}}{D_{i}}\\\\\therefore D_{f}=D_{i}+\epsilon D_{i}\\\\D_{f}=2.5+0.0014\times 2.5\\\\\therefore D_{f}=2503.5mm$

Increase in the diameter is thus 3.5 mm

Using the same procedure for axial strain we have

$\epsilon_{axial} =\epsilon_{axial}-\nu \epsilon _{diam}$

Applying values we get

$\epsilon_{axial} =\frac{2.5}{3088}-0.27\times \frac{5}{3088}$

$\epsilon_{axial} =0.0003724$

Now by definition of strain we have

$\epsilon _{axial} =\frac{L_{f}-L_{i}}{L_{i}}\\\\\therefore \Delta L=0.0003724L_{i}$

where $L_{i}$ is the initial length of the cylinder.

6 0

4 years ago

A large company that must hire a new president prepares a final list of five candidates,all of whom are equally qualified. Two o

nikitadnepr [17]

Answer:

The estimate has been made using classical probability.

Step-by-step explanation:

5 0

3 years ago

-5x + 8y = -21<br> 3x - 4y = 15

fomenos

The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.

<h3>What is an equation?</h3>

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

The equation is given as:

-5x + 8y = -21

3x - 4y = 15

Multiply equation i by 3

Multiply equation ii by 5

-15x + 24y = -63

15x - 20y = 75

Add both equations

4y = 12

Divide

y = 12/4

y = 3

From 3x - 4y = 15

3x - 4(3) = 15

3x - 12 = 15

Collect like terms

3x = 12 + 15

3x = 27

Divide

x = 27/3

x = 9

Therefore, x = 9 and y = 4.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0

1 year ago