Given the function f(x)=0.5(3)^x, what is the value of f^-1(7)?

Answers

Answer 1

Answer: $f\left( x \right) =\frac { 1 }{ 2 } \cdot { 3 }^( x )\n \n \frac { 1 }{ 2 } \cdot { 3 }^( x )=y$

$\n \n 2\cdot \frac { 1 }{ 2 } \cdot { 3 }^( x )=2\cdot y\n \n { 3 }^( x )=2y\n \n \log _( 3 ){ \left( 2y \right) } =x$

$\n \n \therefore \quad { f }^( -1 )\left( x \right) =\log _( 3 ){ \left( 2x \right) }$

$\n \n \therefore \quad { f }^( -1 )\left( 7 \right) =\log _( 3 ){ \left( 2\cdot 7 \right) } =\log _( 3 ){ 14 }$

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Simplify 20 + (2 + r).

Answers

Answer:

The simplified form of given expression is 22+r.

Step-by-step explanation:

The given expression is

$20+(2+r)$

We need to find the simplified form of the given expression.

The given expression can be written as

$20+2+r$

In this expression r is variable and 20, 2 are constant terms.

Now, combine constant terms.

$(20+2)+r$

On further simplification we get

$(22)+r$

$22+r$

Therefore, the simplified form of given expression is 22+r.

First remove the parentheses because addition is commutative.
20+2+r
Add 20 and 2 together
r+22
Hope this helps.

What is the maximum percentage of net spendable income that should be set aside for food

Answers

PLATO ANSWER: 17%

Hope I helped, have a great day

Final answer:

The maximum percentage of net disposable income that should be set aside for food is approximately one-third, or 33.33%, according to historical data gathered by the U.S. Department of Agriculture's Bureau of Home Economics and Human Nutrition. However, this figure can vary depending on factors like the number of family members and who controls the household income.

Explanation:

Based on the work of the U.S. Department of Agriculture's Bureau of Home Economics and Human Nutrition, the average family should ideally set aside approximately one-third, or about 33.33%, of its net disposable income for food. This estimation is based on the bureau's calculations of how much it would cost to feed a nutritionally adequate diet to a family and is used to determine the poverty line. However, factors like the location (whether a high-income or low-income country), the number of family members, and even who controls the household income can affect this percentage.

It's crucial to understand that this is an average approximation and may not necessarily apply to every household. For some families, spending even 25% of their income on food could lead to financial strain. Conversely, families with higher income levels might spend less than 20%.

Spending on food also tends to be higher in lower-income households compared to higher-income households. Furthermore, spending patterns can differ based on whether the father or mother controls a larger share of the family income. For example, when the mother controls a larger share of family income, families tend to spend more on child care and less on alcohol and tobacco, suggesting that who controls the household resources can affect spending in certain areas, including food.

Learn more about Household Food Expenditure here:

brainly.com/question/32575833

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How can you tell whether two fractions that look different represent the same number?

Answers

Ahhh ! That's where simplifying comes in. Before you even try to
compare the fractions, make sure each one is in simplest form.

To simplify a fraction:

-- List the factors of the numerator (the top number).
' 1 ' is always one of them.

-- List the factors of the denominator (the bottom number).
' 1 ' is always one of them.

-- If there's any OTHER number (besides ' 1 ') that's a factor of both the
top and bottom, then divide the top and bottom both by that number.

-- If there's another one, then divide the top and bottom by it.

-- Keep doing that until ' 1 ' is the only factor of both the top and bottom
numbers. Then you know that the fraction is in simplest form.

When you have simplified both fractions to their simplest form, THEN you
can compare them, and see whether they represent the same number.
If they do, then their simplest forms will both look exactly the same !

Calculate the area of the composite figure below.

Answers

Answer:

81 $m^(2)$

Step-by-step explanation:

rectangle=60m^2

triangle=21m^2

21+60=81

david is comparing the fractions 2/3 and 3/5. which shows yhe fractions correctly rewritten and compared with the same numerator?

Answers

10/15 and 9/15. To make the numerators the same, you multiply them together to find the Least common multiple and then you multiply the denominator by the same amount you did the numerator.

What is the product of (x + 3)(2x – 1)