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Serjik [45]
10 months ago
15

In math, a statement that shows that two expressions are equal.

Mathematics
1 answer:
adoni [48]10 months ago
8 0

Answer:

= this is that two expression two equal numbers

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Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
ipn [44]

The expression equivalent to given expression is \frac{b^4}{a}

<em><u>Solution:</u></em>

Given expression is:

\frac{a^3b^5}{a^4b}

We are asked to find the expression equivalent to given expression

Assume that denominator does not equal to zero

We can apply the exponent rule in given expression

\frac{x^a}{x^b} = x^{a - b}

Apply the above rule in given expression

\frac{a^3b^5}{a^4b} = a^{3-4} \times b^{5-1} = a^{-1}b^4

a^{-1}b^4 = \frac{b^4}{a}

Thus the equivalent expression is found

6 0
2 years ago
Read 2 more answers
The picture shows a feeding trough that is shaped like a right prism.
ollegr [7]
A)We have been given →

Hieght of trough = 5m

length of trough = 6m

Breadth of trough = 4m

so , As the top is opened for feeding animals.

Area of base = length× Breadth

= (6×4) m²
= 24 m²

Area of Front and back face = Hieght × length

= (5×6) m²
= 30m²

Area of side faces = hieght × Breadth

= (5×4) m²
= 20 m²
____________________________________

B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)

= 2{(6×4)+(4×5)+(5×6)}

= 2{24+20+30}

= 2×74

= 148 m²

As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →

(148-24) m²

(Area of top will be same as base area , that is 24m² as we have solved in A)

= 124m²

Answer→ Surface area of trough is 124m²
___________________________________
5 0
3 years ago
A circle with a radius of inches has a central angle of 0.25 radians that intercepts an arc of inches.
Murrr4er [49]
Arc length  = c* r    where  c = angle in radians and r = radius

                = 0.25 * 4

                = 1 inch
4 0
3 years ago
Read 2 more answers
R+3.2=6.1<br> What is the value of r? Show work
ankoles [38]
Hello,

The answer is 2.9.

Reason:

Solve this two ways:

1. You could be just regularly solving the question but subtracting 6.1 to 3.2.

6.1-3.2=2.9

2. Or you could be solving variable.

Subtract 3.2 on both sides:

6.1-3.2=2.9

r=2.9

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
4 0
3 years ago
Read 2 more answers
Which of the following statements have the same result? Explain each step in solving each one.
QveST [7]
First:   f(2) is same as  f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8

Second
 f^(-1) (3) is inverse function.  first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3

x=3
f^-1(3) = 16/3

Third
  2y + 14 = 4y - 2
      we just solve for y
     2y = 16
      y = 8

Now we take that f(x) = y because we both write to be the functions of x

that means that First and third have same result.


4 0
2 years ago
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