All categories

3 years ago

Can you solve this in a good way please

Mathematics

1 answer:

IRINA_888 [86]3 years ago

8 0

Answer:

5/2 x^2y^2

Step-by-step explanation:

( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2

= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4

- 5/2x^2y^2 + y^4)

Distributing the negative over the parentheses:-

= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4

- 25/16x^4

+ 5/2x^2y^2 - y^4

Bringing like terms together

x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 + 5/2x^2y^2 + 16/25y^4 + 9/25y^4

- y^4

Adding like terms:-

= 5/2 x^2y^2 Answer

You might be interested in

ABC airlines has had delays on 18 of 126 recent flights . DEF airlines has had delays 13% of the time . Which airline would you

GarryVolchara [31]

ABC airlines because it’s only 18 out of 126 “recent” flights which can only be greater than 13 percent of all of the time so you would have a less percent chance of your flight being delayed.

8 0

3 years ago

Define the following propositions: .p: You drive over 65 miles per hour q You get a speeding ticket Translate the following Engl

sveticcg [70]

Answer:

a.p→¬q

b.¬p→¬q

c.q→¬p

Step-by-step explanation:

p:You drive over 65 miles per hour

¬p: You do not drive over 65 miles per hour

q:You get a speeding ticket

¬q:You do not get a speeding ticket

(a) You drive over 65 miles per hour, but you do not get a speeding ticket

the first sentence is p and because the consequence is the opposite of q then is no q

p→¬q

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket

The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q

¬p→¬q

The first one is q, and the second one is the opposite of p so

q→¬p

5 0

3 years ago

Use the values on the number line to find the sampling error.

pantera1 [17]

Part 1:

Given a number line with the point $\bar{x}=3.8$ and the point $\mu=4.27$

The sampling error is given by:

$\bar{x}-\mu=3.8-4.27=-0.47$

Part 2:

Given a number line with the point $\bar{x}=26.43$ and the point $\mu=24.67$

The sampling error is given by:

$\bar{x}-\mu=26.43-24.67=1.76$

4 0

3 years ago

HEYPO PEEPS Mason wants to buy a present for his friend that costs $20. If Mason has $5 saved how much more will he need to save

kicyunya [14]

Answer:

He has to save at least 15 dollars more

8 0

3 years ago

Read 2 more answers

A system with 6 independent components is such that the system will fail if at least one of the individual components fail. the

Ipatiy [6.2K]

The components operate independently, so the probability of "total" system failure is the same as the product of each probability of component failure. That is, if $A_i$ denotes the event that component $i$ fails, then

$\mathbb P(A)=\mathbb P(A_1\cup\cdots\cup A_6)=\mathbb P(A_1)\times\cdots\times\mathbb P(A_6)$

The $A_i$ are independent and identically distributed, so $\mathbb P(A_i)=\mathbb P(A_j)$ for all $i,j$ . So

$\mathbb P(A)=\mathbb P(A_1)^6=0.02^6=6.4\times10^{-11}=0.000000000064$

7 0

3 years ago