The following shows the process a student used to determine the number of yards in 3,218 meters.

Jobisdone [24]

Answer:

Its X And The Sum Of N Is Going To Be 27

4 0

3 years ago

Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in

VMariaS [17]

Answer:

1.25 pounds

Step-by-step explanation:

20 divided by 16 because 16 ounces are in a pound

6 0

3 years ago

1 point

stepan [7]

Answer:

$y = 250x$

Step-by-step explanation:

The options are not given; however, the question can still be answered.

Given

Direct Proportion:

In 20 minutes, y = 250 bottles

Required

Determine the graph

In the first 20 minutes, y = 250

In the next 20 minutes, y = 250 + 250 = 500

In the next 20 minutes, y = 500 + 250 = 750

This gives a arithmetic sequence:

250, 500, 750, ........

Next, is to determine the equation of the sequence using;

$T_n = a + (n - 1)d$

In this case;

$T_n = y$

$x = n$

$a = 250$

$d = 750 - 500 = 500 - 250 = 250$

Substitute these values in the above formula;

$y = 250 + (x - 1) * 250$

Open Bracket

$y = 250 + 250x - 250$

Collect Like Terms

$y = 250x + 250 - 250$

$y = 250x$

Hence; the graph that shows the given description is the graph with equation $y = 250x$

4 0

3 years ago

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Mkey [24]

Answer:

$1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}$

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

$e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}$

Simplification takes place in the following manner:

a)

$(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}$

b)

$(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}$

c)

$(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8$

d)

$(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}$

4 0

3 years ago

Change this radical to an algebraic expression with fractional exponents.

vekshin1

Rational exponents

$a^\frac{m}{n}$

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.

In other words, we have

$a^\frac{m}{n}=\sqrt[n]{a^m}$

So, in you case, we have

$\sqrt[5]{x^3}=x^\frac{3}{5}$

Assuming that the question contanis a typo. If you actually mean $5\sqrt{x^3}$ ,

then you can write it as $5x^\frac{1}{3}$

7 0

3 years ago