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Ierofanga [76]
1 year ago
11

Which is the simplified form of the expression ((p^2)(q^5))^-4 * ((p^-4)(q^5))^-2 ?

Mathematics
1 answer:
Veseljchak [2.6K]1 year ago
6 0
\bold{ANSWER:}
OPTION A

\bold{EXPLANATIONS:}

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What is the volume of this triangular prism?
Liula [17]

Answer:

5676.16 cm^3

Step-by-step explanation:

The volume of any prism is given by the formula ...

V = Bh

where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...

B = 1/2·bh

where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.

Then the volume is ...

V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3

_____

You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.

4 0
3 years ago
Read 2 more answers
Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500 ft2.
hram777 [196]

Answer: 1527

Step-by-step explanation:

Total Area = 7500 ft^2

Area covered by one student = Area of one circle

                                                   = π*r^2

r = radius of circle = 2.5/2 = 1.25 ft

Area covered by one student = π*1.25^2 = 4.91 ft^2

Number of students who can fit into total area = Total Area/Area covered by one student

Number of students who can fit into total area = 7500/4.91 = 1527.49

Hence the answer is 1527 students

7 0
2 years ago
Can someone please help me out with my homework
Lina20 [59]
D. right 
a right angle always equals a right triangle
3 0
3 years ago
Read 2 more answers
Write an explicit (function) rule for the sequence 10, 12, 14, 16,...
Alexeev081 [22]
Option d is the correct answer
4 0
3 years ago
2x + y = 3<br> x = 2y - 1
Ad libitum [116K]
<span>2x+ y = 3
x = 2y - 1 
Make sure there are NO SPACES in your answer. Include a comma in your answer.
It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1

(1,1)
CHECK
2x+y=3
2(1)+(1)=3
2+1=3
3=3
Left hand side=Right hand side 
Check other equation 
x=2y-1
1=2(1)-1
1=1
Therefore the solution is (1,1). Since the left hand side= right hand side in each equation</span>
8 0
3 years ago
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