MATHEMATICS HIGH SCHOOL

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.

Answers

Answer 1

Answer:

Answer:

$x\geq 29,000$ and $x\leq 41,000$

Step-by-step explanation:

Let x be the altitude of a commercial aircraft

=>The expression " A minimum altitude of 29,000 feet" is equal to

$x\geq 29,000$

All real numbers greater than or equal to 29,000 ft

=>The expression " A maximum altitude of 41,000 feet" is equal to $x\leq 41,000$

All real numbers less than or equal to 41,000 ft

therefore, The compound inequality is equal to

$x\geq 29,000$ and $x\leq 41,000$

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval [29,000,41,000]

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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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A decimal outline is an outline that uses notations such as __________. 1.1, 1.2, and 1.3 I, II, and III A, B, and C a, b, and c

Answers

A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. The second outline is Roman numerals while the third is Letter notation.

The correct answer is: 1.1, 1.2, and 1.3

Explanation:
A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. In decimal outline, the notations have to be numbers, not letters or roman numerals.

Examples of Decimal Outline:
1. 1.1, 1.2, 1.3...
2. 2.1, 2.2, 2.2...

The other options, however, are either roman numerals or the letters.
Like:
Roman numerals: I, II, and III
Letters: A, B, and C; a, b, and c

Hence the correct answer is 1.1, 1.2, and 1.3.

an environmental group is making signs for an upcoming community recycling day. They want the signs to be equilateral triangles with heights of 35 in. How long in inches is each side of the signs be? Round your answer to the nearest tenth of an inch

Answers

Hello,

If x is the hypotenus,x/2 is the half base of the triangle
so with the Pythagorean theorem, we know that:

x²=(x/2)²+35²
==>x²=x²/4 +35²
==>3x²/4=35²
==>x²=4*35² /3
==>x=2*35/√3
==>x=70/√3
==>x=40,41451884...≈40.4 (in)

This is a question for Pythagoras!

x^2 - 1/2x^2 = 35^2
1/2x^2 = 35^2
x^2 = 2(35^2)
x^2 = 2450
x = 49.49747

To the nearest tenth of an inch, the answer is 49.5

The focus of a parabola is (3,-7) and the directrix is y = -4.What is an equation of the parabola?