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2 years ago

What is the value of the expression (2 Superscript 4 Baseline) squared

Mathematics

2 answers:

IRINA_888 [86]2 years ago

6 0

Answer:

it's 256, the person above who answered is wrong

Step-by-step explanation:

Elanso [62]2 years ago

4 0

Answer:

256

Step-by-step explanation:

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PLEASE HELP

Licemer1 [7]

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

4 0

2 years ago

I need help with Multiplication Properties of Exponents desperately!! I've tried to solve both problems repeatedly and I cannot

Yuliya22 [10]

Answer:

1) x= -36.

2) x = 0.

Step-by-step explanation:

1) Taking the 3rd power to both sides and using the following exponent law:

$\left(a^b\right)^c = a^{bc}$

we get:

$\left(\left(m^{x}\right)^{\frac{1}{3}}\right)^3 = \left(m^{-12}\right)^3 \\ m^x = m^{-36}$

So this tells us that x = -36.

2) We can distribute the power inside every term. So the left side becomes:

$\left(3x^3y^x\right)^3 = 3^3\left(x^3)^3y^{3x} = 27x^9y^{3x}$

Now, the trick here is to remember that $y^0 = 1$ , so replacing 1 with $y^0$ , which then gives us:

$27x^9y^{3x} = 27x^9y^{0}$ , telling us that 3x = 0 and thus, x = 0.

7 0

3 years ago

A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse tr

Artemon [7]

Step-by-step explanation:

It is given that, a mouse covered a distance of 3/24 miles over a distance of 3 hours. Each hour, the mouse traveled the same distance. Distance traveled in 1 hour can be calculated by dividing 3/24 miles by 3. So,

$d=\dfrac{\dfrac{3}{24}}{3}\\\\d=\dfrac{3}{24}\times \dfrac{1}{3}\\\\d=\dfrac{1}{24}\ \text{hours}$

Matt calculations shows that the distance is 3/8 hours. While dividing 3/24 by 3, he doesn't take reciprocal of 3 as a result he get 9 on numerator and 24 on denominator. Simplified fraction of 9/24 is 3/8. But the correct answer should be 1/24 hours.

3 0

3 years ago

Read 2 more answers

Which applies the power of a product rule to simplify (5t)^3?

frozen [14]

$(5t)^3 = 125t^3$