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lys-0071 [83]
3 years ago
9

Solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4

Step 2: Use BPEMDAS to evaluate

(-1.24573)^{4(3^{\frac{1}{5} })^4

(-1.24573)^{4(1.24573)^4

(-1.24573)^{4(2.40822)

(-1.24573)^{9.6329}

= 8.30256

And we have our answer!

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The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol
soldi70 [24.7K]

the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³  and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

-

2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)  

= 1080 + 660

= $1740

So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

3 0
2 years ago
Solve for t and show your work in details please
disa [49]

Answer:

0t=8

Step-by-step explanation:

3t+4=12+3t

3t-3t=12-4

0t=8

5 0
3 years ago
elliot counts a group of coims starting with rhe quarters his sister counts tje same coins.she starts counting the pennies.will
Leona [35]
Yes because they are counting the same group
5 0
3 years ago
Read 2 more answers
Find the value of t in the diagram
12345 [234]

In a trapezoid, with bases b and B and height h, the area is given by


A = \frac{(B+b)h}{2}


In your case:


B = BC = 3t

b = AD = t

h = AB = t


so, the formula becomes


A = \frac{(3t+t)t}{2} = \frac{4t^2}{2} = 2t^2


Since the area is 50 \text{cm}^2, we have


2t^2 = 50 \iff t^2 = 25 \iff t = 5

5 0
3 years ago
Read 2 more answers
you download a video game on your computer. you have a 60-minute free trial of the game. it takes 5 1/6 minutes to set up the ga
iren2701 [21]

Answer:

B. 5\frac{1}{6}+(7\frac{1}{3})l \leq 60

Step-by-step explanation:

Given,

The time for set up the game = 5\frac{1}{6} minutes,

Also, the time for each level of game is 7\frac{1}{3} minutes,

If there are l levels of games,

Then the time taken in all levels of game = (7\frac{1}{3})l

Hence, the total time ( in minutes ) = Set up time + time in all level

= 5\frac{1}{6}+(7\frac{1}{3})l

We have 60-minute of free trial of the game,

So, the total time taken can not be exceed to 60 minutes,

\implies 5\frac{1}{6}+(7\frac{1}{3})l \leq 60

Which is the required inequality.

Option 'B' is correct.

5 0
3 years ago
Read 2 more answers
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