the length of a rectangular prism is 4 feet, and the width is 3 feet. The volume of the prism is 9 cubic feet. In inches, what is the height of the prism?
A) 6 inches
B) 8 inches
C) 9 inches
D) 10 inches

E:Credit Card Accountability, Responsibility and Disclosure Act

Final answer:

A French dessert chef can make 30 portions of sorbet from 3 kilograms, with each portion weighing 1/10 of a kilogram, by simply dividing the total weight by the weight of one portion.

Explanation:

The subject of this question is Mathematics, specifically related to division and units of measurement. To find out how many portions each weighing 1/10 of a kilogram can be made from 3 kilograms of sorbet, we divide the total amount of sorbet by the weight of one portion. Therefore, we perform the division:

Determine the weight of one portion: 1/10 kg.

Divide the total weight of sorbet by the weight of one portion: 3 kg ÷ (1/10 kg).

The division gives us the result of 30 portions because 3 ÷ (1/10) is equivalent to 3 × 10.

So, a French dessert chef can create 30 portions of sorbet, with each portion weighing 1/10 of a kilogram.

The given expression 4x^4 - 4x^3 + 10x^6 is a polynomial of degree 6.

The given expression is 4x4 - 4x3 + 10x6.

To classify this expression, we need to look at the highest power of x in the expression. In this case, the highest power is 6, which means it is a polynomial of degree 6.

So, the correct classification of 4x4 - 4x3 + 10x6 is a polynomial of degree 6.

Employee benefits, such as health insurance and retirement plans, add value to the total compensation received by workers. They account for about one-quarter of average hourly compensation, contributing to the overall attractiveness of the compensation package and promoting employee well-being and job satisfaction.

Employee benefits affect total employment compensation by adding to the overall value of the compensation package. They provide additional forms of remuneration beyond wages and salaries, such as health insurance, retirement plans, employer payments to Social Security, unemployment and worker's compensation insurance, and other benefits like Medicare.

These benefits contribute to the total compensation received by workers, accounting for about one-quarter of the average hourly compensation. So, for example, if a worker's wages are $20 per hour, the total compensation per hour might be around $26 when considering the value of benefits.

By providing employee benefits, employers aim to attract and retain talented employees, promote employee well-being, and enhance job satisfaction and productivity. These benefits play a crucial role in improving the overall compensation package and incentivizing employees to stay with the company.

Final answer:

Employee benefits, such as health insurance and retirement plans, greatly impact total employment compensation. These benefits, in addition to wages and salaries, make up the overall compensation received by workers.

Explanation:

Employee benefits have a significant impact on total employment compensation. These benefits include things like health insurance, retirement plans, employer payments to Social Security, and unemployment and worker's compensation insurance. When these benefits are added to wages and salaries, they make up the total compensation received by workers.

For example, if a worker's hourly wage is $20 and they receive $5 per hour in benefits, their total compensation per hour is $25. This means that employee benefits increase the overall value of compensation that workers receive.

Employee benefits are important for attracting and retaining employees, as well as promoting employee well-being and job satisfaction. They can also have an impact on the cost of labor for employers, as they must budget for these benefits in addition to wages and salaries.

Answer:

C. 1.1 seconds

Step-by-step explanation:

The formula to use is :

[tex]h=ut+\frac{1}{2}at^{2}[/tex]

Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².

Substituting these values into the equation:

[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]

Using the quadratic formula, t can be solved.

a = 16.075, b = 2, c = -20:

[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]

The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds

Answer:

Please see the attachment for graph.

Step-by-step explanation:

Given: [tex]f(x)=\log_{10}(x+2)[/tex]

It is log function. First we take parent function of log

[tex]y=\log_{10}x[/tex]

We have to change y to f(x)

First we draw the graph of parent function.

[tex]y=\log_{10}x[/tex]

Now we shift graph 2 unit left because when x change to x+a , graph shift a unit left or right.

So, f(x) will shift 2 unit left.

[tex]f(x)=\log_{10}(x+2)[/tex]

The only difference between the two following expressions is their exponent though it’s equal. If you would analyze carefully, the two expressions are equal since 2/4 is just equal to ½. The two expressions are equal in value so the presentation of the exponent is their only difference.

Answer:

(–3, 4) and (1,0)

Step-by-step explanation:

Answer:

(-3,4) and (1,0)

Step-by-step explanation:

The roots of the polynomial equation x²−12x−64=0 are 16 and -4. These roots are calculated using the quadratic formula and represent the points where the function intersects the x-axis. The importance of finding real roots in quadratic equations is significant in solving real-world problems.

Roots of Polynomial Equation

The roots or solutions of the polynomial equation x²−12x−64=0 can be calculated using quadratic formula. In general, the quadratic function is written as ax²+bx+c=0 and its roots are given by -b ± √(b² - 4ac) / 2a. In this case, a=1, b=-12 and c=-64.

Applying those values into the formula we get 12 ± √((-12)² - 4(1)(-64)) / 2(1) = 12 ± √(144 + 256) / 2 = 12 ± √400 / 2 = 12 ± 20 / 2. This gives us two possible roots: 16 and -4.

Graphically, these roots represent the x coordinates or points where the quadratic function intersects the x-axis on a two-dimensional graph. It is important to note that quadratic equations constructed on physical data always have real roots, which are important for solving real-world problems.

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Answer:

$7.00

Step-by-step explanation:

16 apples ⋅ 5.2 ounces1 apple ⋅ 1 pound16 ounces ⋅ $1.291 pound ≈ $7.00

Answer:

11250ft2

Step-by-step explanation:

i took the test to make sure the other guy was right

The equations representing Dory's and Nemo's lunch orders are 3x + 3y = 11.25 and 4x + 2y = 10, respectively.

Let's define the variables first. Let x be the cost of one soft taco, and y be the cost of one double decker.

Dory orders three soft tacos and three double deckers for $11.25. This gives us the first equation:

3x + 3y = 11.25

Nemo orders four soft tacos and two double deckers for $10. This gives us the second equation:

4x + 2y = 10

We now have a system of equations that represents the lunch orders:

3x + 3y = 11.25

4x + 2y = 10

These equations can be solved simultaneously to find the individual costs of the soft tacos and double deckers.

Final answer:

The sum of the deviations about the mean always equals zero because positive and negative deviations cancel out. This concept is essential for calculating variance and standard deviation in statistics.

Explanation:

The sum of the deviations about the mean always equals zero. When analysing a set of data, each data value has a deviation from the mean, which is the difference between the value and the mean. These deviations illustrate the spread of the data around the mean. Positive deviations occur when a data value is greater than the mean, while negative deviations occur when a data value is less than the mean.

If we sum all the deviations, the positive and negative values will cancel each other out, resulting in a sum of zero. This happens because the mean is the point where the total amount above it is equal to the total amount below it. This concept is core to understanding the calculation of other statistics such as variance and standard deviation, which provide measures of data spread. Variance is the mean of the squared deviations from the mean, and the standard deviation is the square root of the variance.

The fact that the sum of deviations equals zero is important when working with the Central Limit Theorem, as it assures that the mean of sample means will equal the population mean, assuming the sample size is sufficiently large.

Answer:1,722 R3

Step-by-step explanation:

Answer:

The correct answer is option I

Step-by-step explanation:

Initial height of bamboo [tex]= 20 in\\[/tex]

Height of bamboo grows by [tex]24 in \\[/tex] every day

Let "n" be the number of days

So the height of bamboo after "n" days is

[tex]f(n) = 20 + 24n\\[/tex]

Thus, the correct answer is option I