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bixtya [17]
3 years ago
6

Which expressions are equivalent to 2^5•2^4? Check all that apply.

Mathematics
2 answers:
SpyIntel [72]3 years ago
6 0

Answer:

[see below]

Step-by-step explanation:

Recall the product rule: a^x+a^y=a^{x+y}

2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}

Other expressions could be:

2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}

(2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}

Hope this helps.

nasty-shy [4]3 years ago
3 0

Answer:

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2

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Answer:

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Step-by-step explanation:

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Answer: What is the question???

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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 475 cm3. The material fo
zepelin [54]

Answer:

The dimensions of the box are:

x =  8,93 cm       and     h  =   5,95 cm

C(min) =  850,69 cents

Step-by-step explanation:

The volume of the box is:

V = x²*h          where    x is the side of the square base  and h the height

then    h  =  V/ x²  ⇒    h = 475 / x²

The total cost of box C is:

C  = C₁  +  4*C₂      Where C₁  and C₂  are the costs of the base and one lateral side respectevily

Then cost C =  8*x²   + 4* 6*h*x

The cost C as a function of x is

C(x)  =  8*x²  + (24* 475 /x² )*x

C(x)  =  8*x²  +  11400/x

Tacking derivatives on both sides of the equation

C´(x)  =  16*x -  11400/x²

C´(x)  =  0     ⇒    16*x  -  11400/x²  = 0

16*x³  =  11400     ⇒   x³  =  11400/16

x³ =  712,5

x  =  8,93  cm

and    h   =  475 / (8,93)²      ⇒      h  =  5,95  cm

C(min)  =  8*79,77  +  4* ( 8,93)*5,95

C(min)  =  638,16  +  212,53

C(min)  =  850,69 cents

To check if value x = 8,93 would make C(x) minimum we go to the second derivatives

C´´(x) =  16  +  22800/x³ > 0

Then we have a minimum of C at  x = 8,93

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4 years ago
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Answer:

<em>We are given that,</em>

<em>Polygons ABC and DBC are triangles.</em>

<em>Also, ABC and DBC are </em><em>Right</em><em> Triangles as ∠ABC and ∠DBC are 90 respectively.</em>

<em>AB ↔ CD</em>

<em>Now,</em>

<em>From the </em><em>HL Congruency </em><em>we know that,</em>

<u><em>"Two </em></u><u><em>Right</em></u><u><em> triangles are congruent if the </em></u><u><em>Hypotenuses </em></u><u><em>and at least </em></u><u><em>One Side </em></u><u><em> of both the triangles correspond to each other.</em></u><em>"</em>

<em>Here,</em>

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<em>ΔABC</em><em> ≅ </em><em>Δ DBC </em><em>[Hence, Proved]</em>

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