Write the solution to the inequality in set builder notation.

9t - 4 > 32

Final answer:

The student question doesn't correctly pertain to David Hilbert; thus, an answer specific to him is not provided. Instead, a brief description of Hilbert’s contributions to mathematics is outlined, showing a potential misunderstanding or typo in the original question.

Explanation:

The question does not directly relate to David Hilbert, hence answering the question as posed is not possible. David Hilbert was a renowned German mathematician known for his contributions to fields such as invariant theory, the calculus of variations, commutative algebra, and algebraic number theory. His work also had a profound influence on the foundations of mathematics, especially through the establishment of formalism as a philosophy of mathematics, and his famous list of 23 unsolved problems presented in 1900. Notably, Hilbert's name is often associated with the Hilbert's Program, which aimed to provide a complete and consistent set of axioms for all of mathematics, and the Hilbert space, which is a concept in functional analysis that provides a general framework for the mathematical formalism of quantum mechanics. Unfortunately, the information provided in the student question references several other philosophers and mathematicians, such as Harman, Dharmakīrti, Leibniz, Pierce, Hume, and Heisenberg, rather than focusing on Hilbert's life and work.

Answer:

The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.

Step-by-step explanation:

Endogeneity answers

The new total cost Sarah has to pay, including the 15% gratuity is $1690.07. This is calculated by adding her repair cost, shipping fee, and gratuity together.

The total cost that Sarah has to pay can be calculated by adding up the cost of computer repair, the cost of shipping, and the gratuity she wants to include. The cost of shipping is 2 percent of the total cost of computer repair, so it would be $1,444.50 * 0.02 = $28.89. The gratuity Sarah wants to pay is 15 percent of the total cost of the computer repair (excluding the cost of shipping) which is $1,444.50 * 0.15 = $216.68.

Adding all these together: $1444.50 (Cost of Repair) + $28.89 (Shipping) + $216.68 (Gratuity) gives us a total cost of $1690.07. This will be the new total cost Sarah has to pay.

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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]

The values of the expression [tex]6x - x^2[/tex] are evaluated for x values from 0 to 6 and a symmetrical pattern around x = 3 is observed, with the expression value increasing up to x = 3 and then decreasing symmetrically.

The expression to evaluate is [tex]6x - x^2[/tex]. Let's plug in each value of x into the expression and see the result.

The pattern we can observe from filling the table is that the value of the expression increases until x = 3 and then decreases symmetrically.

At x = 0 and x = 6, the expression has a value of 0, creating a symmetry about the axis x = 3, which is the vertex of the parabola represented by the given quadratic expression.

To plot 7/12 on the number line, divide the line into equal parts and determine where 7/12 falls. 7/12 is closer to 1 than to 1/2 or 0.

Plotting a fraction, such as 7/12, on a number line involves breaking down the interval into equal parts and determining the position of the fraction within that range. In this case, the fraction 7/12 is being considered.

To understand where 7/12 falls on the number line, it's essential to consider both the numerator (7) and the denominator (12). When comparing fractions, having a larger denominator signifies smaller parts, while a larger numerator indicates more parts taken. In this context, the denominator 12 is greater than 2, suggesting that 1/2 is smaller than 7/12. Additionally, since the numerator 7 is smaller than 12, we can conclude that 1 is smaller than 7/12.

As a result of these comparisons, it becomes apparent that 7/12 is closer to 1 on the number line than it is to 1/2 or 0. This intuitive understanding of fraction placement on a number line helps in visualizing the relative sizes and positions of fractions, contributing to a deeper grasp of mathematical concepts and comparisons.

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TO get the number of bags, we simply get the quotient, that is:

(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags

Since bags cannot be decimal, so it can only fill 2 bags. The left over is 0.4 or:

0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds

Answer:

2 bags filled, left over is 2/15 pounds of granola

Answer:  2 bags can be filled and [tex]\dfrac{2}{5}[/tex] pound of granola will be left over.

Step-by-step explanation:

Given : A large bag contains [tex]\dfrac{12}{15}[/tex] pound of granola.

The number of bags can be filled with [tex]\dfrac{1}{3}[/tex] pound of granola in each bag will be :-

[tex]\dfrac{12}{15}\div\dfrac{1}{3}\\\\=\dfrac{12}{15}\times\dfrac{3}{1}=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

Thus, the number of bags = 2

The amount  of granola left=[tex]\dfrac{2}{5}[/tex] pound

Answer:

12.5829=12.6

Because the 5 is the tenths place, and the 8 is greater than 5, so that would make the 5 go up to 6

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

Learn more about solving equations here:

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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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4 units is  the distance between these two points represent

A number system is defined as a system of writing to express numbers.

Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

Let the x point is at minus two and y is at two

The distance will be always positive

As we count the number of humps for each unit we get four.

So the distance is 4 units.

The distance between two points is the length of the line joining the two points

|-2-2|=4

Hence, 4 units is  the distance between these two points represent

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The correct answers are:

53 is the cost of the meal and x is the tip percentage.

Explanation:

When we add a tip to the total cost of a meal, we pay 100% of the cost of the meal plus an additional amount.  In decimal form, this gives us 1 + the decimal for the tip percent.  This is the (1+x) in this expression.

We multiply this (1+x) by the cost of the meal.  This means that in this case, 53 is the cost of the meal.