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Gwar [14]
3 years ago
15

The difference of the squares of twenty and thirteen

Mathematics
1 answer:
sineoko [7]3 years ago
5 0
20 squared = 400
13 squared = 169
 400
-139

(231)
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Determine the principal value of the function: Arc sin(square root of 3/2)
Drupady [299]

Answer:

π/3

Step-by-step explanation:

We have to find the principal value of \text{arc sin}(\frac{\sqrt{3}}{2} )

arc sin means sin inverse. The sin inverse is a one to one function with its range between -\frac{\pi}{2} \textrm{ to } \frac{\pi}{2}

The principal value of the arc sin will lie within the above given range.

value of sin (60) or sin(\frac{\pi}{3}) is \frac{\sqrt{3}}{2}.

\frac{\pi}{3} lies between -\frac{\pi}{2}\textrm{ and } \frac{\pi}{2}

So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3

5 0
4 years ago
Find the next term of the following sequence.<br><br> 25, 10, 4,
arlik [135]

The given sequence is 25, 10, 4.

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : r = \frac{a_{2}}{a_{1}}

= \frac{10}{25}

= 0.4

So, each term is 0.4 times of it's previous term.

Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.

So, fourth / next term = 4* 0.4 =1.6

Hence, next term of this sequence is 1.6.

Hope this helps you!

4 0
3 years ago
Four machines, each costing $5,700, were purchased for an office. Each machine requires
liubo4ka [24]

The number of months it would take to recover the cost of the machines is 12 months.

<h3> What is the total cost of the machines and the salary of the operators? </h3>

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 +  $4,400t

<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

<h3>In how many months would it take to recover the cost of the machines? </h3>

$22,800 +  $4,400t  =  $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

To learn more about division, please check: brainly.com/question/194007

8 0
3 years ago
En la expresion algebraica x², ¿que indica el número 2 en la base x?
tino4ka555 [31]

Answer:

En la expresión, 2 representa la cantidad de veces que multiplicas x por sí mismo.

**Lo siento si mi español es malo, el inglés es mi primer idioma.

Step-by-step explanation:

8^{2} = 8 × 8 = 64

y^2= y × y

5 0
4 years ago
For the following system, use the second equation to make a substitution for y in the first equation.
ICE Princess25 [194]

Answer:

It is A

Step-by-step explanation:

2x + y = 5

y + 3 = 2x

From equation 2:

y = 2x - 3

Substituting in the first equation:

2x + 2x - 3 = 5.

5 0
3 years ago
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