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Orlov [11]
3 years ago
5

Which expression is equivalent to (5^-2)(5^-1)

Mathematics
2 answers:
nadya68 [22]3 years ago
5 0
The rule for multiplying similar bases with exponents:

(a^b)(a^c)=a^(b+c)

In this case we have:

(5^-2)(5^-1)

5^(-2-1)

5^(-3)

The rule for negative exponents:

a^(-b)=1/(a^b)

So in this case:

5^(-3) is equal to 

1/(5^3)

1/125
Delvig [45]3 years ago
3 0

Answer:

1/125

Step-by-step explanation:

In M a t h w a y, this is the answer ya get when the expression's simplified. Hope this helps!

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One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side
galben [10]

Answer:

First rectangular solid and second Rectangular solid

1. Bases are in the form of square having same dimensions

2. Height of first rectangular solid=2 ×Height of second rectangular solid

The true statements are

A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.

(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .

(D) Volume of first solid = x *x*2 H=2 x²H

Volume of second solid = x*x*H=x²H

Ratio of volumes =2:1

So, option (D) is true.

(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]

=2[x²+4 H*x]=2 *x*[x+4* H]

Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]

Option A, D, E are correct about two solids.

Step-by-step explanation:

8 0
2 years ago
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How to do permutations?
PIT_PIT [208]
Permutations are written as nPx where n is the number of total choices possible and x is the number of choices that will be used. This is calculated as nPx = n! / (n-x)!.
Permutations represent the number of ways we can choose x objects from n possibilities where the order of selection matters.
7 0
3 years ago
I need help!!! ASAP!!!! !!!!!
GalinKa [24]

Answer:

1.

Volume= 729cm^3

Height= 9cm^2

Area of Base= 81cm^2

2.

Volume=450m^3

Height= 3m^2

Area of Base=150m^2

3.

Volume= 480 cm^2

Area of base=75cm^2

Height= 8cm^2

4.

Volume =120in^3

Area of Base=20in^2

Height= 6in^2

Step-by-step explanation:

Volume = (length) Times (Width) Times (Height)

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3 0
3 years ago
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S_A_V [24]
I believe that answer is c
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3 years ago
Find the GCF of 18 and 11.
docker41 [41]

Answer:

GCF is 1

Step-by-step explanation:

The factors of 11 are: 1, 11

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 1

5 0
3 years ago
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