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1 year ago

25x⁴+4x⁴y²+4y⁴ answer this

Mathematics

1 answer:

vova2212 [387]1 year ago

6 0

Answer:

(5x²+2y² + 2xy)(5x²+2y²-2xy)

Step-by-step explanation:

25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)

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the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four

aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is $Hypotenuse^2=OneLeg^2+AnotherLeg^2$

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

$hyp^2=6^2+8^2\\hyp^2=100\\hyp=10$

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

$hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}$

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

$15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9$

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

$hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}$

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = $10+\sqrt{208} +15+\sqrt{117}\\ =50.24$ yards

8 0

2 years ago

4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L

gulaghasi [49]

This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory.

5 0

2 years ago

The speed limit on a road is 60 mph. The actual speeds of cars are measured and found to be normally distributed with a mean val

Vladimir79 [104]

Answer: 8.1%

Step-by-step explanation:

Given : $\mu=63$

$\sigma=5$

Let x be the random variable that represents the actual speeds of cars.

The speed limit on a road is 60 mph.

Using formula , $z=\dfrac{x-\mu}{\sigma}$ , we have for x= 60+10=70

$\dfrac{70-63}{5}=1.4$

Using z-table for right-tailed test value, The probability of cars exceed the speed limit by more than 10 mph will be

$P(x>70)=P(z>1.4)=0.0807567\approx0.081=8.1\%$

Hence, the percentage of cars exceed the speed limit by more than 10 mph is 8.1%.

6 0

2 years ago

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A

Ksivusya [100]

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65

= 0.1153846

= 0.115

6 0

1 year ago

Bryan has a balance of 320 in his checking account he spends 15 each week for the next eight weeks. write an equation showing hi

viva [34]

Bryan spends T=15x
320 divided by 15 is and average of $21 per week

7 0

2 years ago

25x⁴+4x⁴y²+4y⁴ answer this​

25x⁴+4x⁴y²+4y⁴ answer this