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(6y^2 - 3y^3 + 5)(7y^5)
Use the distributive property
=(6y^2)(7y^5) + (-3y^3)(7y^5) + (5)(7y^5)
= 42y^7 - 21y^8 + 35y^5
= -21y^8 + 42y^7 + 35y^5
Good luck with your studies buddy!
It is a 180 degree rotation around point G. Imagine if point G was still and you rotated the picture, it would rotate 180 degrees clockwise to get the secondary picture.
The combined time taken if Mario and Ben work together will be 1.875 days.
<u>Time taken</u>:
- Mario alone = 3 days
- Ben alone = 5 days
<u>Work rate</u> :
- Rate = 1 / time taken
- Mario's rate = 1 / 3
- Ben's rate = 1/5
<u>Their combined rate can be written thus</u> :
- Mario's rate + Ben's rate = combined rate
- 1/3 + 1/5 = 8/15
<u>Time taken if they work together</u> :
- Reciprocal of combined work rate
- Combined time taken = 1 ÷ 8/15 = 15/8 = 1.875 days
Therefore, the time taken of they work together is 1.875 days
Learn more :brainly.com/question/18112348
Answer:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
One way
x3 + 11x2 - 3x - 33
x2(x + 11) - 3(x + 11)
(x + 11) (x2 - 3) are the factors