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3 years ago

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Help on evaluating expressions

1 answer:

olasank [31]3 years ago

6 0

$4log_{216}6\\\\use:\ log_ab=\frac{log_cb}{log_ca}\\\\4log_{216}6=4\cdot\frac{log_66}{log_6216}=4\cdot\frac{1}{log_66^3}=\boxed{\frac{4}{3}}$

$2log_\frac{1}{2}\frac{1}{16}=2log_\frac{1}{2}\left(\frac{1}{2}\right)^4=4\cdot2log_\frac{1}{2}\frac{1}{2}=4\cdot2\cdot1=\boxed8$

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If 12 men earn $810 in 10 days how much will 14 men earn in 8 days, if the daily wage is the same for each man

kogti [31]

1 man earns 810 / 12 = $67.5 in 10 days
by proportion 1 man will earn 0.8 * 67.5 = $54 in 8 days

So 14 men will earn 54 * 14 = $756 in 8 days.

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2 years ago

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s

aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).

Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

$\textup{d}=20~\textup{cm}.$

So, the radius of the circular cross-section will be

$\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.$

Therefore, cross-sectional area of the pipe is

$\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.$

Thus, the answer is 314.28 cm² (approx.).

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3 years ago

Are the functions linear or nonlinear?

inna [77]

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3 years ago

Read 2 more answers

A rectangle has a perimeter of 34 cm. It’s length is 5 more than twice it’s width.Write and solve a system of equations to find

Aloiza [94]

Answer:

Length = 13 cm

Step-by-step explanation:

Length (L) = 2 x Width (W) + 5

2 x (L + W) = 34

2 x (2W + 5 + W) = 34

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Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with

Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given that a particular detection system has a 0.83 probability of detecting a missile attack.

Also each system is independent of the other to detect missile attack.

a) the probability that a single detection system will detect an attack= $0.83$

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c) If three systems are installed, the probability that at least one of the systems will detect the attack

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d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.

Hence for safety and defence purpose multiple detection system is recommended.

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3 years ago