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2 years ago

Simplify (2*4)−1.

1 answer:

6 0

The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (2⁴)⁻¹

Using the properties of the integer exponent:

= 1/2⁴

The above number is one over two raised to the fourth power

Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.

Learn more about the integer exponent here:

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Mustafa’s horse ate 6,400 pounds of hay last year. How could Mustafa determine the number of tons of hay his horse ate last year

Alona [7]

Answer:

by dividing 6,400 by 2,000

Step-by-step explanation:

We know that 2000 pounds equals 1 ton

To convert 6400 pounds to tons, we need to

6400 pounds * 1 ton/2000 pounds

Divide 6400 by 2000

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3 years ago

Gerald paid 12.60 for tank of gas how many gallons did he buy?

nydimaria [60]

Answer:

Step-by-step explanation:

Can you tell me how much it costs to get gas?

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2 years ago

Read 2 more answers

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T

Paul [167]

The distance between two points on the plane is given by the formula below

$\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}$

Therefore, in our case,

$A=(-1,-3),B=(5,2)$

Thus,

$\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}$

Therefore, the answer is sqrt(61)

In general,

$-(-n)=n$

Remember that

$-n=(-1)\cdot n$

Therefore,

$\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}$

6 0

1 year ago

Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat

ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

If n < 0, the translation is downwards.
if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

if n > 0, the translation is to the left.
if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

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4 0

2 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Hatshy [7]

Answer:

The change in the area of the rectangle is 0 square feet

Step-by-step explanation:

To solve this problem we have to calculate the area of the two rectangles that give us

first we have to know the formula to calculate the area of a rectangle

a = area

l = length = 12ft

w = width = 5ft

a = l * w

we replace the known walues

a = 12ft * 5ft

a = 60ft²

we do the same with the other rectangle, but first we have to calculate its sides

w = 5ft - (5ft * 20/100)

w = 5ft - 1ft

w = 4ft

l = 12ft + (12ft * 25/100)

l = 12ft + 3ft

l = 15ft

a2 = 15ft * 4ft

a2 = 60ft²

to calculate the change in the area we subtract (a - a2)

a - a2 =

60ft² - 60ft² = 0ft²

3 0

3 years ago