O'Reilly's Restaurant has advertised an opening for a cashier. The hours listed are Monday, Tuesday, and Friday from 4 to 10 p.m. The job pays $7.58 an hour.

How much is this per week?


$181.92

$136.44

$113.70

$45.48

Answer:

Step-by-step explanation:

The correct answer is d. All of the above causes changes in the CPI to overstate the true inflation rate.

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

50 degrees

Step-by-step explanation:

the x is 0 so 0 -50 is 50 so your answer is 50 degrees

R script that performs the tasks you mentioned:

```R

# Task (a)

x <- 3

y <- 4

# Task (b)

ln_result <- log(x + y)

# Task (c)

log_result <- log10(x * y²)

# Task (d)

sqrt_result <- 2 * sqrt(3) * x + sqrt(4) * y

# Task (e)

exp_result <-\(10^{x - y\) + exp(x * y)

# Printing the results

cat("ln(x + y) =", ln_result, "\n")

cat("log10(\(xy^2\)) =", log_result, "\n")

cat("2√3x + √4y =", sqrt_result, "\n")

cat("\(10^{x - y\) + exp(xy) =", exp_result, "\n")

```

When you run this script, it will assign the values 3 to `x` and 4 to `y`. Then it will calculate the results for each task and print them to the console.

Note that I've used the `log()` function for natural logarithm, `log10()` for base 10 logarithm, and `sqrt()` for square root. The caret `^` operator is used for exponentiation.

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The equation for $95 for each ticket and free shipping y = 15 + 95x

In this situation, an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions.

Let the number of tickets be x.

Let the total amount is y.

The equation for $95 for each ticket and free shipping will be:

y = 15 + (95 × x)

y = 15 + 95x

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Here, we want to simplify the given expression

We shall use the order of simplification for this

The order is PEDMAS

We shall start with the terms in parentheses before we move to the exponents

We have;

Next is the exponent

The next thing to do is to divide

The next thing to do is to multiply

We then proceed to subtract;

Answer:

Original price is 11.25

Step-by-step explanation:

Answer: 60

The percent of sale price is 100% - 25% = 75%

the original price is (45/75).100 = 60$

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

hope this helps!!!!

Answer:

225

Step-by-step explanation:

Hope this helps:)

The probability for the particle to exist between x=0 and x=L/3, when the quantum number n=3, is 1/9.

In quantum mechanics, a particle in a one-dimensional box of length L can only occupy certain discrete energy levels determined by the quantum number n. The energy levels are given by the equation En = (\(n^2\) * \(h^2\))/(8m\(L^2\)), where h is Planck's constant and m is the mass of the particle.

Given that the quantum number n = 3, we can determine the energy associated with this level as E3 = (\(3^2\) * \(h^2\))/(8m\(L^2\)).

The probability of finding the particle between x=0 and x=L/3 corresponds to the portion of the total probability density function (PDF) within that range. The PDF for a particle in a box is given by P(x) = |ψ\((x)|^2\), where ψ(x) is the wave function.

For the ground state (n = 1), the wave function is a sin(xπ/L) and the corresponding PDF is proportional to \(sin^2\)(xπ/L). For n = 3, the wave function becomes sin(3xπ/L), and the corresponding PDF is proportional to\(sin^2\)(3xπ/L).

To find the probability, we integrate the PDF from x=0 to x=L/3, which is equivalent to calculating the area under the PDF curve within that range. In this case, the integral is ∫[0 to L/3] \(sin^2\)(3xπ/L) dx.

Evaluating this integral gives us a result of 1/9, indicating that there is a 1/9 probability of finding the particle between x=0 and x=L/3 when the quantum number n=3.

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The solution set for inequality 3|x + 1| < 9 is option(C).

What is inequality?

A relationship between two expressions or values that is not equal to each other is known as an "inequality" in mathematics. The "not equal symbol (≠)" is typically used to indicate that two values are not equal that is there is inequality.

The equals sign in the equation-like statement 5x - 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 5x - 4, is larger than the right part, 2x + 3, in the equation.

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The function must satisfy f(0) = f(10), which is true. By Rolle's theorem, there exists a number c in (0, 10) such that f'(c) = 0. We have found that f'(x) = (x-10)(3x-10), which equals 0 at x = 10/3 and x = 10. But 10/3 is not in [0, 10]. Therefore, the only point guaranteed to exist by Rolle's Theorem is x = 10.

To determine whether Rolle's theorem applies to the given function f(x)=x(x-10)^2 on the given interval [0, 10] and to find the point(s) that are guaranteed to exist by Rolle's theorem. Rolle's Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b) and f(a) = f(b), then there exists a number c in (a, b) such that f'(c) = 0.

Therefore, the function must be continuous on the interval [0, 10] and differentiable on the open interval (0, 10).The function f(x) = x(x-10)^2 is continuous on the interval [0, 10] and differentiable on the open interval (0, 10). Therefore, Rolle's Theorem applies to the given function on the interval [0, 10].Now, we can apply Rolle's Theorem and find the point(s) that are guaranteed to exist by it.

Therefore, f'(x) = 0 at x= 10/3 or x = 10. But, 10/3 is not in the interval [0, 10]. Hence, the only point guaranteed to exist by Rolle's Theorem is x = 10.

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Answer:

6^7 (last choice)

Step-by-step explanation:

6^3 x 6^4 ---> product of exponent law

keep the base the same (only works if the base are the same)

add the exponents

^3 + ^4 = ^7

put the base back

6^7

The best method to estimate the size of a population of rabbits living in a large urban park is the Capture a set of rabbits, mark and release them, and then recapture a second set of rabbits, which is option C.

Later, a second sample of rabbits is captured, and the number of marked rabbits in this sample is recorded. The ratio of marked rabbits to the total number of rabbits in the second sample can be used to estimate the total population size.

The CMR method is considered one of the most accurate methods for estimating the size of a population of animals, as it accounts for the potential biases in other methods like counting individual animals within quadrants or along transects.

This method assumes that the marked and unmarked animals have an equal chance of being captured and that there is no migration or mortality between the two sampling periods.

In conclusion, the CMR method is the best option to estimate the size of a rabbit population in a large urban park as it is more accurate than other methods and accounts for potential biases in other methods. Therefore, correct option is C.

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In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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Kunal, the neurologist, is most likely to tell Denver's parents that fragile X syndrome can affect Denver's intellectual development by creating a shortage of dendritic spines in the cortical neurons.

This disruption in the cerebral cortex can lead to difficulties in mental development and cognitive functioning.

Kunal is most likely to explain that fragile X syndrome affects intellectual development by inhibiting synaptogenesis in the cerebral cortex. This is because fragile X syndrome is a genetic condition that affects the production of a protein that is important for the development and function of synapses in the brain.

This can lead to a shortage of dendritic spines and impaired synaptogenesis in the cerebral cortex, which can impact cognitive and behavioral development.

Additionally, the syndrome may also interfere with the normal elimination of synapses after birth, but this is not the primary mechanism by which it affects intellectual development. Finally, eliminating inactive synapses that get too little trophic factor to remain stable is not a factor in the development of fragile X syndrome.

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Answer:

the spaces between the bars are not equal.

Answer:

the spaces between the bars are not equal

Step-by-step explanation:

Answer:

The weight of the dog = 12 Pounds.

The weight of the cat = 3× Of dogs weight.

= 3×12 = 36 Pounds.

Therefore cat is 36 Pounds.

(a) z = -3/2

(b) z = ±√((1 ± √(1 + 3e)) / e)

(c) z = -1

(d) No solutions.

(a) To solve the equation 24 + 16z = 0, we can rearrange it as 16z = -24 and then divide both sides by 16, giving z = -24/16 = -3/2. Therefore, the solution to this equation is z = -3/2.

(b) The equation ez^2 - 2z - 3 = 0 is a quadratic equation in terms of z^2. We can rewrite it as ez^2 - 2z - 3 = 0. To solve this equation, we can use the quadratic formula:

z^2 = (-(-2) ± √((-2)^2 - 4e(-3))) / (2e)

z^2 = (2 ± √(4 + 12e)) / (2e)

z^2 = (1 ± √(1 + 3e)) / e

Taking the square root of both sides, we get:

z = ±√((1 ± √(1 + 3e)) / e)

So, the solutions to this equation are z = ±√((1 ± √(1 + 3e)) / e), where e is the base of the natural logarithm.

(c) The equation z = (-i)(-i) simplifies to z = i^2. Since i^2 = -1, the solution to this equation is z = -1.

(d) The equation sin z = 2 does not have any solutions in the set of complex numbers. The range of the sine function is -1 to 1, so it is not possible for sin z to equal 2. Therefore, there are no solutions to this equation.

In summary:

(a) z = -3/2

(b) z = ±√((1 ± √(1 + 3e)) / e)

(c) z = -1

(d) No solutions.

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The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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-10+59=5m=7+3m

49=5m=7+3m

49-7=5m-3m

m=42/2

m=21

Answer:

21

Step-by-step explanation:

-10+59 = 5m = 7 + 3m

49 = 5m = 7 + 3m

49 - 7 = 5m - 3m

42 = 2m

42/2 = m

m= 21

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute

Step-by-step explanation:

maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

Answer:

A.−3x^4+2x^2−4x

B.4p^7−10p^5+2p^4

Step-by-step explanation:

A.x(−3x^3+2x−4) then simplify −3x^4+2x^2−4x

B.  -2p^3(-2p^4+5p^2-p) then simplify 4p^7−10p^5+2p^4

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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Answer:

y = -5/3 - 3

Step-by-step explanation:

Since it's given a graph, we can use rise over run to figure it out

We pick 2 points that are integers on the graph , which means two points on the graph that the line goes through

Example- I picked (-3, 2) and (0, -3), you can indicate them so you don't forget or anything

We now draw a triangle formed by those two points (a line that goes from (-3, 2) to (-3, -3) and a line from (0, -3) to (-3, -3)

Rise (Which is the height of the triangle you just drew) is 5 units, but it's going down, so -5

The base (Run) is 3 units. Using rise/run, the slope is -5/3

The y-intercept, which is at the point where the graph crosses the y-axis, is -3.

The slope intercept form is y=mx+b, where m = slope and b = y-intercept, so the equation of the graph is y = -5/3x -3

One possible solution is

f(x) = x^4

g(x) = x-3

Since

f(x) = x^4

f(g(x)) = ( g(x) )^4

f(g(x)) = ( x-3 )^4

=================================================

Another possible solution could be

f(x) = x^2

g(x) = (x-3)^2

Because

f(x) = x^2

f(g(x)) = ( g(x) )^2

f(g(x)) = ( (x-3)^2 )^2

f(g(x)) = (x-3)^(2*2)

f(g(x)) = (x-3)^4

Answer:

7

Step-by-step explanation:

Answer:

7 units north

Step-by-step explanation:

Count from 3,4 to 10,4 and there are seven units

Answer: 8x + 2xy

Step-by-step explanation:

9x - x + 4xy - 2xy

8x + 2xy

We can only compare the 9x with -x and the 4xy with the -2xy