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3 years ago

Which expression is equivalent to the given expression?

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the rules of logarithms

loga + logb = log(ab)

loga - logb = log( $\frac{a}{b}$ )

log $x^{n}$ ⇔ nlogx

Given

4lnx + ln3 - lnx

= 3lnx + ln3

= lnx³ + ln3

= ln(x³ × 3)

= ln(3x³) → C

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Can someone help me with this question? It's related to equations.

Scorpion4ik [409]

There’s infinite solutions

5 0

3 years ago

A group wants to visit a water park over

balandron [24]

Answer:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park

Step-by-step explanation:

3 0

3 years ago

Find the surface area of the cylinder. Round to the nearest tenth.

OleMash [197]

Hello!

To find the surface area of the given cylinder, we need to use the formula of the surface area of a cylinder.

The formula for the surface area of a cylinder is SA = 2πrh + 2πr².

In this formula, r is the radius and h is the height.

In the given diagram, we see that the height is 6 meters, and the radius 9 meters. With those values, we can substitute them into our formula and solve for the surface area.

In some cases, you are given the diameter. To find the radius, you would need to divide the diameter by two.

SA = 2π(9)(6) + 2π(9)²

SA = 54(2π) + 2(81π)

SA = 108π + 162π

SA = 270π

SA ≈ 848.2 m²

Therefore, the surface area of the given cylinder is choice A, 848.2 m².

5 0

3 years ago

Circumscribe a circle about the given triangle.

Bas_tet [7]

Answer:

Step-by-step explanation:

To circumscribe a circle to a given triangle implies constructing a circle outside the triangle, so that it touches the three vertices of the given triangle externally.

The step requires bisecting two sides of the triangle so as to locate the center of the circle. Then with the center and one of the edges, draw a complete circle. The circles should be outside the triangle and passing through its three vertices.

The construction is as shown in the attachment to this answer.

6 0

3 years ago

How is a function different than a relation?

Nastasia [14]

<h3>Explanation</h3>

Difference between relation and function.

Relation and Function both are same except for one thing.

Relation can have repetitive domain while Function cannot. We can say that Function is a relation without repetitive domain.

Example of Relation

{(1,1),(1,3),(2,5),(2,6),(3,46),(3,90)}

This is a relation because there are same and repetitive domain.

Example of Function

{(1,1),(2,4),(3,9),(4,16),(5,25),(6,36),(7,49)}

This can be classified as relation as well but relation that is function. We can say that function is a subset of relation. Remember that functions are relations that don't have repetitive domain while relations that are not function (or just relations) can have repetitive or same domain.

Graph of Relation and Function

Relations can have graphs along with Functions. The problem is you might not see set of ordered pairs but graph instead.

How can we tell if the graph is a function or just only relation? The answer is to do line test.

First we draw a vertical line.
See if the line intercepts the graph just one point or more than one.

If the graph intercepts only one point then it is a function. Otherwise, no.

5 0

3 years ago