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2 years ago

Simplify the expression in exponential notation. a • a • a

Mathematics

2 answers:

vladimir2022 [97]2 years ago

8 0

the answer would be a³

kolezko [41]2 years ago

5 0

For this case we have that by definition of power properties it is fulfilled that:

$a ^ n$ : Represents the multiplication of "a" n times.

Example:

$a ^ 5 = a * a * a * a * a$

So, we have the following expression:

$a * a * a$

That in exponential notation we can write as:

$a ^ 3$

Answer:

$a ^ 3$

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The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.

Alexus [3.1K]

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

<h3>Lateral surface area of a cone</h3>

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

r = base radius
l = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: brainly.com/question/27170515

5 0

1 year ago

The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 + 5 x g(x) 0 0 1 1 2 5 3 1 4 0 Which of the followin

KatRina [158]

The equation describes a function whose maximum value is 5. The data set describes a function whose maximum value is also 5. Comparing the maximum values, we must conclude ...

... It is the same for both functions.

_____

Please note that the premise is that g(x) is a quadratic function. It is definitely NOT a quadratic function in the usual sense of the term.

4 0

2 years ago

Need help with a simple problem 2^x=3^x+1

KiRa [710]

For $x\ \textgreater \ 0$ , $2^x\ \textless \ 3^x$ , all the more $2^x\ \textless \ 3^x+1$ , therefore no solution.

For $x=0$ , we have $2^0=3^0+1 \Rightarrow 1=1+1 \Rightarrow 1=2$ . Obviously that' false.

For $x\ \textless \ 0$ both $2^x$ and $3^x$ , where $2^x\ \textgreater \ 3^x$ , belong to the range $(0,1)$ , then $3^x+1$ belong to the range $(1,2)$ .
Those ranges don't have a common part, therefore, again, no solution.

So, the equation $2^x=3^x+1$ doesn't have a solution.

4 0

2 years ago

Radio signals travel at a rate of 3 x 10^8 meters per second. How many seconds would it take for a radio signal to travel from a

wel

Time = Distance / Speed [ Already mentioned ]

Then, substitute the known values,

t = (9.6 × 10⁶) / (3 × 10⁸)

t = 3.2 × 10⁻² s

In short, Your Answer would be Option B

Hope this helps!

4 0

2 years ago

Help..........................

Thepotemich [5.8K]

Answer:

That is enough information to determine that the shape is a parallelogram.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers