1. Which expressions are equivalent to 5^6x5^-3

Mathematics

2 answers:

Olenka [21]3 years ago

7 0

You just add both of the powers , so 6-3 is 3

the answer is 5^3

nadezda [96]3 years ago

7 0

Answer:

$\huge\boxed{5^6\times5^{-3}=5^3=5\times5\times5=125}$

Step-by-step explanation:

$\text{Use}\ a^n\times a^m=a^{n+m}\\\\5^6\times5^{-3}=5^{6+(-3)}=5^{6-3}=5^3=5\times5\times5=125$

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You are giving 24 linear feet of fencing all 3 feet tall you wish to make the largest rectangular enclosure possible to maximize

earnstyle [38]

Answer:

The largest area enclosed is A = xy = 6 feet $\times$ 6 feet = 36 $feet^{2}$

Step-by-step explanation:

i) The perimeter of the area is 2 $\times$ (x + y) =24 ∴ x + y = 12 ∴ y = 12 - x

ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x - $x^{2}$

iii) differentiating both sides of the equation in ii) we get

$\dfrac{dA}{dx} = 12 - 2x = 0$ ⇒ x = 6 feet

iv) Differentiating both sides of equation in iii) we get $\frac{d^{2}A}{dx^{2} }$ = -2

Therefore the area enclosed is maximum as the double derivative is negative

v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet

vi) therefore the largest area enclosed is

A = xy = 6 feet $\times$ 6 feet = 36 $feet^{2}$

7 0

3 years ago

A bakery uses 25 cups of flour to make 8 loaves of bread. What is true about the number of cups of flour in each loaf?

Levart [38]

So basically we need to divide

25/8=3.125

they need 3.125 cups of flour in each loaf

I hope I've helped!

6 0

3 years ago

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of be

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:

$m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}$