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3 years ago

Will give brainliest answer

Mathematics

2 answers:

aleksandrvk [35]3 years ago

7 0

Answer:

First one: log_10 (100) = 2 OR log (100) = 2

Second one: 5^-3 = 1/125

Step-by-step explanation:

Let's say the formula for a basic exponent equation is this:

a = b^x

a is the answer when you calculate b^x

b is the base

x is the exponent

Here's the log formula using those variables:

log_b (a) = x

As long as you know how to rearrange the numbers/variables, you are good to go:

100 = 10^2

a = 100

b = 10

x = 2

log_10 (100) = 2

You can also write this one as log (100) = 2 because when you put log by itself, it's assumed that the base thing already equals 10.

log_5 (1/125) = -3

a = 1/125

b = 5

x = -3

5^-3 = 1/125

Hope it helps (●'◡'●)

Alik [6]3 years ago

5 0

Answer:

Below.

Step-by-step explanation:

log 10 ( 100 ) = 2

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Write the polynomial in standard form.

sp2606 [1]

The standard form is:

$4x^5+3x^2+3$

Degree = 5, leading coefficient=4

The 5th degree polynomial is:

Quintic function

it is a trinomial

<u>What is standard form of a polynomial?</u>

When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.

So, standard form is:

$4x^5+3x^2+3$

To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable

Degree = 5

In a polynomial, the leading term is the term with the highest power of x.

So, leading coefficient=4

The 5th degree polynomial is:

Quintic function

It has 3 terms. so, it is a trinomial

To learn more about the standard form of a polynomial from the given link

brainly.com/question/26552651

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4 0

11 months ago

What is the volume of the rectangular prism in the figure shown?

ra1l [238]

We know that, Volume of a Rectangular Prism is given by :

✿ {Length × Width × Height}

Given : The Length of Rectangular Prism = 5.5

Given : The Width of Rectangular Prism = 6

Given : The Height of Rectangular Prism = 3

⇒ The Volume of given Rectangular Prism = {5.5 × 6 × 3}

⇒ The Volume of given Rectangular Prism = 99

3 0

3 years ago

Read 2 more answers

A long time ago Dulani found an island shaped like a triangle with three straight shores of length 3 km 4 km and 5 km.He said no

VikaD [51]

To find the area of his exclusion zone you would need to understand that a triangle with dimensions of 3, 4, and 5 represent a right triangle.

This means the exclusion zone would be applied to the base and the height of the triangular space.

You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.

Please see the attached picture to understand this.

You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.

(1/2 x 6 x 5) - (1/2 x 4 x 3)
15 km² -6 km² equals 9 km².

The exclusion space is 9 km².