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lesya [120]
3 years ago
5

What is the absolute value of 0

Mathematics
2 answers:
Ainat [17]3 years ago
5 0
The absolute value of zero is zero
miss Akunina [59]3 years ago
3 0
Zero Is itself. It Is Not A Positive, Or A Negative. The reason why is because zero, is nothing. You can't change nothing to a positive, so the absolute value of zero is zero.
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What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
Rainbow [258]

Answer:

The base is: 3 \sqrt[3]{4}

Step-by-step explanation:

Given

f(x) = \frac{1}{4}(\sqrt[3]{108})^x

Required

The base

Expand 108

f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x

Rewrite the exponent as:

f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x

Expand

f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x

f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x

Rewrite as:

f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x

An exponential function has the following form:

f(x)=ab^x

Where

b \to base

By comparison:

b =3 \sqrt[3]{4}

So, the base is: 3 \sqrt[3]{4}

4 0
3 years ago
Question is in attached file
Nonamiya [84]

The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

5 0
2 years ago
Check the add-on inside please tell me the answer.
labwork [276]
Answer is A.
P−⁸ × Q −²⁰ × P⁸ × Q−¹⁰
Q−³⁰
1/q³⁰
3 0
3 years ago
How are 1/4 of 12 and 12 divided by 4 related????
Jobisdone [24]
Both expressions are related because 12 divided by 4 equals to 3, and 1/4 of 12 equals to 3 too.
3 0
3 years ago
Can someone help me please​
ANEK [815]

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

5 0
3 years ago
Read 2 more answers
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