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3 years ago

Consider the function f(x)=49.5(0.82)x select the correct word or phrase to complete each statement

Mathematics

2 answers:

Pavel [41]3 years ago

4 0

Answer:

1. Exponential decay

2. 18%

Step-by-step explanation:

Alex_Xolod [135]3 years ago

3 0

Answer: exponential decay and 18%

Step-by-step explanation: Since what is in the parentheses is less than 1, it is exponential decay

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What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

6 0

4 years ago

To solve a system of equations, you can replace a ____________with an equal value or expression.

Ludmilka [50]

Answer:

Variable

Step-by-step explanation:

If you can substitute a unknown variable with another expression that is equal, you can then solve for another variable, and with that equal expression, solve for the first variable.

4 0

4 years ago

Given the data set (200, 150, 325, 350, 100, 75), Find the range of the data set

andriy [413]

The range is just the distance between the biggest number
and the smallest one.

The biggest number on that list is 350 .
The smallest number on that list is 75 .

The range is from 75 to 350, or a distance of 275 .

4 0

3 years ago

Best Answer gets BRAINLIEST!!!

AysviL [449]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

x=4 and y=6

4/6 on simplest form is 2/3

8 0

3 years ago

The value y is a function of x if for each element x in the domain, there is/are how many value(s) of y in the range?

viva [34]

In a function f(x):

set of all the values that x can take is called the domain of the function.

Set of all the values that f(x) (or y) can take is called the range of the function.

Range can have either finite or infinite number of values depending on the function its domain.

For example, f(x) = x^2
can have infinite number of values in range.

whereas :
f(x) = [x] , 0<x<10
where [x] is the greatest integer function,

has finite number of values in its range.

8 0

4 years ago