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riadik2000 [5.3K]
3 years ago
14

Help me solve this please, solve for x. 3^7x = 81^x+9

Mathematics
1 answer:
Naddik [55]3 years ago
7 0
Use order of operations. 

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Of 340 male and 270 female employees at the home office of Gibraltar Insurance Company, 170 of the men and 180 of the women are
sineoko [7]

Answer:

The correct answer is 0.486.

Step-by-step explanation:

Total number of employees at the home office of Gibraltar Insurance Company is 270 + 340 = 610

Number of employees on flex time are 350, out of which 170 are men and 180 are women.

We need to find the probability that out of the given employees, a randomly chosen one is on flex time and is a man.

Favorable outcomes are 170 and total outcome is 350.

Thus the probability is given by \frac{170}{350} = 0.4857≈ 0.486

5 0
3 years ago
R17 is greater than or equal to 545.7
zhuklara [117]

Answer:

r17 is that a mistake or actually the number?

7 0
2 years ago
The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the
jek_recluse [69]

The biggest possible volume of the cylinder will be 2089.497\hspace{1mm}\text{cm}^3.

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>
  • If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
  • For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is x, the diameter and the height of the cylinder are also x
  • If the side length of a cube is x unit, then its diagonal will be x\sqrt{3} unit.
  • The formula for the volume of a cylinder is V=\pi r^2h, where r is the radius and h is the height of the cylinder. If d is the diameter, then r=\frac{d}{2}.

Now, given that the diagonal of the cube is 24 cm. So, if the side length of the cube is x cm, then we must have

x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}

Thus, the side length of the cube is 8\sqrt{3} cm.

So, the height of the cylinder with maximum volume will be h=8\sqrt{3} cm and the diameter will be d=8\sqrt{3}cm i.e. the radius will be r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3} cm.

So, using the above formula for the volume of a cylinder, we get

V=\pi r^{2}h=\pi\times (4\sqrt{3})^2\times 8\sqrt{3}=2089.497\hspace{1mm}\text{cm}^3.

Therefore, the biggest possible volume of the cylinder will be 2089.497\hspace{1mm}\text{cm}^3.

To know more about volume, refer: brainly.com/question/1972490

#SPJ9

4 0
2 years ago
Read 2 more answers
Plz this is a test I need the anwser fast!!!!!!!!!! Fill in the blank don’t worry about the thing at the bottom
Reil [10]
8,11,5 i think because is -4
8 0
3 years ago
Read 2 more answers
35.99 divided by 15.6
olasank [31]

Answer:

around 2.31

Step-by-step explanation:

because you will get 2.307 if you put it in a calculator then you can round it to 2.31

8 0
2 years ago
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