All categories

3 years ago

I need help on answering this question.

Mathematics

1 answer:

-Dominant- [34]3 years ago

5 0

Answer:

The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see

3 x 4 = 12.

So yea the answer is M = 3.

Step-by-step explanation:

You might be interested in

What is the distance between the sun and the earth in kilometers?

vekshin1

149.6 million kilometers is the distance.

5 0

3 years ago

A puzzle piece in the shape of a triangle has perimeter 25 centimeters. Two sides of the triangle are each twice as long as the

Anestetic [448]

Answer: the shortest side is 10 centimeters.

The length of each of the other sides is 10 centimeters each.

Step-by-step explanation:

Let x represent the length of the shortest side of the triangle.

Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.

The perimeter of a triangle is the sum of each side of the triangle.

The puzzle piece in the shape of a triangle has perimeter 25 centimeters. This means that

x + 2x + 2x = 25

5x = 25

x = 25/5

x = 5

The length of each of the two sides is

2x = 2 × 5 = 10

3 0

3 years ago

Angelina has a fish tank in the shape of a rectangular prism. The fish tank is 20 inches long, 7 inches wide, and 12 inches tall

igor_vitrenko [27]

Answer: 1680 inches cubed

Step-by-step explanation:

Volume = Length x Width x Height

V = 20 x 7 x 12

V = 140 x 12

V = 1680 inches cubed

8 0

3 years ago

Grocery store sella kiwis for $4.25 a pound and Asian pears for $2.25 a pound. Write an equation in standard form using integers

bogdanovich [222]

The pears could equal exactly $18
<span />

4 0

3 years ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

6 0

2 years ago

I need help on answering this question.​

I need help on answering this question.