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kodGreya [7K]
3 years ago
14

In Exercise,Use properties of exponents to simplyfy the expression. (e2/3)(e3)

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer: e^{\frac{11}{3}}

Step-by-step explanation:

According to the Multiplication property of exponents : a^m\cdot {a^n}=a^{m+n}

For example : 2^7\cdot 2^5= 2^{7-5}=2^2

Let's take one more example , a^{-11}\cdot a^{1}=a^{-11+1}=a^{-10}

The given expression : (e^{\frac{2}{3}})(e^3)

By Multiplication property of exponents , we have

(e^{\frac{2}{3}})(e^3)=e^{\frac{2}{3}+3}

=e^{\frac{2+3(3)}{3}}=e^{\frac{2+9}{3}}

=e^{\frac{11}{3}}

Hence, the simplified expression is e^{\frac{11}{3}} .

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Find the equation of the median shown:
qwelly [4]

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of  this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

6

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

8 0
3 years ago
5+x/6=-1 What is x??​
qaws [65]

Answer:

x = -36

Step-by-step explanation:

5 + \frac{x}{6} = -1

\frac{x}{6} = -1 - 5

\frac{x}{6} = -6

x = -6 * 6

x = -36

6 0
3 years ago
Read 2 more answers
Which of the following values are solutions to the inequality 3 -
forsale [732]

Answer:

None

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

2x < -10

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide 2 on both sides:                    x < -5

Here we see that any value <em>x</em> smaller than -5 would work as a solution.

<u>Step 3: Identify</u>

<em>Answer choices.</em>

I. -2

II. 2

III. 10

We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.

5 0
2 years ago
Avery wanted to make 4 cakes for a huge party. Each cake requires 1.25 cups of milk to make. How much milk will she need to make
Elina [12.6K]

Answer:

Step-by-step explanation:

She will need 5 cups of milk because 1.25 times 4 equals to 5!

4 0
2 years ago
Read 2 more answers
Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. Is she correct. Please explain why
sergiy2304 [10]

Answer:

No, she is not correct

Step-by-step explanation:

Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms

To check: whether she is correct or not.

Solution:

Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.

A parallelogram is a quadrilateral in which opposite sides are parallel.

Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.

So, she is not correct.

6 0
3 years ago
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