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nikitadnepr [17]
4 years ago
15

Which expression is equivalent to rm ÷ rn??

Mathematics
2 answers:
Ilya [14]4 years ago
7 0
I have worked that on paper

Vikki [24]4 years ago
6 0

Answer:

r^{m-n}

Step-by-step explanation:

We have been given an expression r^m\div r^n. We are asked to find equivalent expression to our given expression.

First of all, we will write our given division problem as a fraction:

\frac{r^m}{r^n}

Using exponent property \frac{a^b}{a^c}=a^{b-c}, we can rewrite our given expression as:

\frac{r^m}{r^n}=r^{m-n}

Therefore, the expression r^{m-n} is equivalent to our given expression.

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A rectangular tank with a square​ base, an open​ top, and a volume of 10,976 ft cubed is to be constructed of sheet steel. Find
Marizza181 [45]

Answer:

Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft

Step-by-step explanation:

The Volume of a box with a square base of say;x cm by x cm and height

h cm is;

V = x²h

Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.

The formula for the surface area of the box described is given by;

A = x² + 4xh

However, we need A as a function of

only x, so we'll use the formula;

V = x²h

V = x²h = 10,976 ft³

So,

h = 10976/x²

So,

A = x² + 4x(10976/x²)

A = x² + 43904/x

So, to minimize the area, it will be at dA/dx = 0.

So,

dA/dx = 2x - 43904/x² = 0

Factorizing out, we have;

2x³ = 43904

x³ = 43904/2

x³ = 21952

x = ∛21952

x = 28 ft

since, h = 10976/x²

h = 10976/28² = 14 ft

Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft

7 0
4 years ago
Factorize the following: <br>49x² - 25​
creativ13 [48]

Answer:

(7x+5)(7x-5)

Step-by-step explanation:

We can use the difference of squares equation which states that when a number is multiplied like: (ax+b)(ax-b) then it equals (ax-b). In this equation, since there is no "b" in the typical ax^2+bx+c, we can recognize that the answer is not a square, but a difference of squares.

3 0
3 years ago
Help Pic is kind blurry
Flauer [41]

Answer:

D

Step-by-step explanation:

You are just finding the area of the square base so you don’t need to pay attention to the height. You do 16 x 16

hope this helped :)

5 0
3 years ago
Read 2 more answers
What's 48 3/5 written as a decimal
Wewaii [24]
The answer is 48.60. You keep the whole number and divide the fraction. 
7 0
4 years ago
Read 2 more answers
I will AWARD BRANLIST TO YOU! Its A Math Question Help! <br><br> Thank you alot.
Molodets [167]

The best description for point F is: b. Circumcenter of triangle ABC.

<h3>What is the Circumcenter of a Triangle?</h3>

The perpendicular bisector is the line is drawn from the vertex of a triangle and bisects the opposite side at right angle. A triangle has three perpendicular bisectors.

The point where the three perpendicular bisectors of a triangle intersects is called the circumcenter of a triangle.

The triangle in the image above has three perpendicular bisector that meets at point F.

Therefore, the best description for point F is: b. Circumcenter of triangle ABC.

Learn more about the circumcenter on:

brainly.com/question/21299234

#SPJ1

6 0
2 years ago
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