MATHEMATICS HIGH SCHOOL

Choose the correct simplification of the expression the quantity a to the 2nd power over b to the 3rd power all raised to the 4th power.a to the 6th power over b to the 7th power
b12
a8b15
the quantity a to the 8th power over b to the 12th power

Answers

Answer 1
Answer: (a²/b³)^4 

(a²)^4 ⇒ 2 x 4 = 8 = a^8
(b³)^4 ⇒ 3 x 4 = 12 = b^12

(a²/b³)^4 = a^8 / b^12

the quantity a to the 8th power over b to the 12th power
Answer 2
Answer:

the answer to this problem is the last one (D)

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Please help me solve this. :)
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Need help on this pls

How many sides does a triangle have? Quickly!

Answers

Hey there! 
A triangle is made up of 3 sides and also has 3 angles. All the angles of a triangle add up to 180.
Thank you! :D

Sarah wants to give the pizza delivery boy a 20 percent tip. If the pizza bill is $48.25, how much should she tip?

Answers

If Sarah orders a pizza worth of $48.25 and she wants to offer 20 percent of the bill, then she needs to calculate the 20 percent of the total bill. 20 percent of $48.25 = 9.65 That mean Sarah should give $9.65 tip to pizza delivery boy.

9.65 round it up to 10. the answers A.

Of the 8 students in the chess club, three will represent the club at an upcoming competition. How many different 3-person teams can be formed from the 8 students?

Answers

I think that this is a combination problem. From the given, the 8 students are taken 3 at a time. This can be solved through using the formula of combination which is C(n,r) = n!/(n-r)!r!. In this case, n is 8 while r is 3. Hence, upon substitution of the values, we have

C(8,3) = 8!/(8-3)!3!
C(8,3) = 56

There are 56 3-person teams that can be formed from the 8 students. 

Pls help you would be a life saverYou can write the answer as:

1.(first second or third)
2.( first second or third)
3.(first second or third)

Answers

Step-by-step explanation:

1.(first second or third)

Need help with: A circle with radius of 9 sits inside a circle with radius of 11 What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answers

see the picture attached to better understand the problem

we know that
area of a circle=pi*r²

area of the larger circle
r= 11 units
Area=pi*11²-----> 379.94 units ²

area of smaller circle
area=pi*9²-----> 254.34 units²

area of the shaded region=area larger circle-area smaller circle
so
area of the shaded region=379.94-254.34-----> 125.60 units²

the answer is
125.60 units²

Solve the equation 3-x/5-4-x/2=1

Answers

Hi Ponie

Simplify both sides of the equation

3-x/5-4-x/2=1

3+ -1/5 x+ -4+ -1/2 x =1

Combine like terms

(-1/5 x + -1/2 x)+(3+-4)=1

-7/10 x +-1=1

-7/10 x -1=1

Add 1 to both sides

-7/10 x-1+1=1+1

-7/10 x=2

Multiply both sides by 10/-7

(10/-7)*(-7/10 x )= (10/-7)*2

x= -20/7


I hope that's help and I am sorry for the late answer !


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