What is 1,995298 to the nearest 1,0000

To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, convert them to decimals and then compare. The order from smallest to largest is: 0.027, 1/6 (0.166...), 23% (0.23), 0.29, and 3/5 (0.6).

Explanation:

To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, we first need to convert them all to the same format. We can convert percentages to decimals by dividing by 100 and fractions to decimals by division. Here are the conversions:

Now that they are all in decimal form, we can easily compare them:

A 6-pound bag of sugar can make 14 whole batches of muffins and the cost for sugar per each batch is approximately $0.32.

The subject of this question is in the field of Mathematics, specifically dealing with ratios and proportions. To determine the number of whole batches of muffins a bag of sugar can make, you will first need to find the number of cups in the bag. Given that 1 cup is equivalent to 48 teaspoons and the 6-pound bag of sugar contains 681 teaspoons, divide 681 by 48 to get roughly 14.1875. Since we cannot make a fraction of a batch, round down to 14, which is the number of whole batches we can make.

To find the cost per batch, divide the total cost ($4.49) by the number of batches (14) to get a per-batch cost of roughly $0.32.

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The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

A proportion is a comparison of two numbers that each represent the parts of a whole.

Given that, Imani gives vitamins to her dog. The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds.

The proportion will be = 1/10 = x/80 = y/7

x = 8 and y = 0.7

Hence, The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

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Answer:

9.1

Step-by-step explanation:

Formula; Higher value-lower value/Original value x 100

Solve;

$1099-$999/$1099 x100

= 100/1099 x100

= 9.0991810737

Round = 9.1

[RevyBreeze]

Leo and Robyn receive $15,862 and $23,793 respectively.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

Total funding= $39655.

Funding in the ratio = 2:3

If x is the part by which one person receive;

The equation is found as;

2x+3x=$39655.

5x=$39655.

x=7931

Leo gets;

2x=2×$7931= $15,862

Robyn gets;

3x=3×$7931== $23,793

Hence,Leo and Robyn receive $15,862 and $23,793 respectively.

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The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

An equation represents equality of two or more mathematical expression.

To solve an equation, they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

For the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

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The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.

The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,

First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.

Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $

3.57937

.

So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).

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Answer:

C

Step-by-step explanation:

The person weighs 560 more on Mars than on the moon.

On comparing the weight of the individual on Earth, Mars and Moon, we concluded -

W[Earth] > W[Mars] > W[Moon]

Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -

W = m x g

where -

[m] is the mass of object

[g] is acceleration due to gravity

Given is a person who weighs 240 pounds on Earth.

The weight of the individual in kg m/s² (Newtons) on earth would be -

W[Earth] = 240 x 0.45359237 x 9.8 = 1066.84 N

The weight of the same individual on mars would be -

W[Mars] = 240 x 0.45359237 x 3.11 = 333.56 N

The weight of the same individual on moon would be -

W[Moon] = 240 x 0.45359237 x 1.625 = 176.90 N

Therefore, we can conclude that W[Earth] > W[Mars] > W[Moon].

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The duration for the rocket to hit the ground, its height at 2 seconds, and its maximum height can be calculated using the given quadratic equation for height over time. The maximum height is determined by finding the vertex of the parabola.

To determine how long it takes the toy rocket to hit the ground, we need to set the equation for height h to zero and solve for time t. The model for the path of a toy rocket is given by [tex]h = -16t2 - 4.9t2[/tex]. To solve for t, we factor the right side:

[tex]h = -4.9t(16 + t)[/tex]

Since h = 0 when the rocket hits the ground, we set [tex]-4.9t(16 + t) = 0[/tex] and solve for t. There are two solutions: t = 0 (when the rocket is launched) and the positive solution which is when the rocket hits the ground. We disregard the solution t = 0 and solve for the positive solution to find out how long it takes to hit the ground.

To find out how high the rocket was at 2 seconds, we simply plug t = 2 into the original equation:

[tex]h = -16(2)2 - 4.9(2)2[/tex]

And solve for h to get the height at 2 seconds.

To determine the maximum height of the rocket, we need to find the vertex of the parabola represented by the given equation, which is a quadratic function of t. Since the coefficient in front of t2 is negative, the vertex will give us the maximum height. The time it takes to reach the maximum height is given by t = -b/2a, where a and b are coefficients from the equation [tex]h(t) = at2 + bt + c.[/tex] In this case, a = -4.9 and b = -68.

The calculations must be done to find the precise values for the time to hit the ground, the height at 2 seconds, and the maximum height of the rocket, along with the time it takes to reach it.

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