1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
9

Help on evaluating expressions

Mathematics
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
You might be interested in
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.
5 0
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.).

4 0
3 years ago
Are the functions linear or nonlinear?
inna [77]
Linear. They all follow the format y=mx+c wether or not they have been rearranged.
5 0
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

6W + 10 = 34

6W = 34-10 = 24

W=4

L = 13

6 0
3 years ago
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

b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

=1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711

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

= 1- none of the three systems detect attack

= (1-0.17^3)\\=1-0.004913\\=0.995087

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.

7 0
3 years ago
Other questions:
  • What is sixty three multiplied by forty nine
    12·2 answers
  • Gregory’s taxable income last year was $65,750. According to the tax table below, how much tax does he have to pay if he files w
    8·2 answers
  • Tom decides to paint one wall in his room green. Use the dimensions below to calculate the area of the this wall.
    11·1 answer
  • Which Rule describes the composition of transformations that maps figure PQRS to figure P”Q’R”S”?
    14·2 answers
  • Please help me please will give brainliest to anyone who is good ​
    8·1 answer
  • 50 points. Please complete it, and I'll give you brainiest
    15·1 answer
  • Which expression shows 48 + 36 written as a product of two factors?
    7·2 answers
  • Solve for x: 36 - 6x = 4x - 64
    5·2 answers
  • “please help me! I will mark you brainly”
    6·1 answer
  • A rectangle has a length of 11.8 centimeters and a width of 8.2 centimeters.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!