Chef amy does beginning inventory on thursday night and finds that she has $4194 in food products in the restaurant. throughout the week she purchases: $2088 produce, $1678 meat, $870 dry goods, and $3914 dairy. the following thursday she does ending inventory and finds that she has $3464 in food. she looks at her sales and finds that she made $30541 over the same 7 day period. what is her total food cost?

Answer:

1.2(2.5)x - 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The probability that at least 285 rooms will be occupied is 0.0885

A popular resort hotel's reservation follows Normal distribution as size of sample is greater than 30 with mean np and standard deviation √npq

Given , Probability of cancelation : q = 7% = 0.07

Probability of no cancellation of room : p = 1 - q

p = 1 - 0.07

p = 0.93

here, Binomial distribution tends to normal

Sample size : n = 300

Mean = np

= 300 × 0.93

= 279

Standard deviation = \(\sqrt{npq}\)

= \(\sqrt{(300)(0.93)(0.07)}\)

= \(\sqrt{19.53}\)

= 4.42

We have to find P(x ≥ 285)

subtracting 279 and dividing by 4.42 to each sides

P(x ≥ 285)  = \(P(\frac{x - 278}{4.42} \geq \frac{285 - 278}{4.42} )\)

= P(z  ≥ 1.357) = 1 - P(z<1.357)

Using Z probability table ,

P(x ≥ 285) = 1 - (0.9115)

= 0.0885 is required probability

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Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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Answer:

x<11

Step-by-step explanation:

x−4(|−2|)<3

Simplifies to:

x−8<3

Let's solve your inequality step-by-step.

x−8<3

Step 1: Add 8 to both sides.

x−8+8<3+8

x<11

Answer:

Factor 8 out of 32w - 56xy

8 ( 4w - 7xy )

GCF of 32 and 56 is 8.

So we have 4(8w)-7(8xy)

---

sry if i didn't help

Answer:

.6

Step-by-step explanation:

7/11 would be around .63, rounded to the nearest tenth is .6,

Answer:

The answer would be .6

Step-by-step explanation:

Hope this helps

Answer:

cost of trail mix 2.75

cost of jelly bean 3.5

Step-by-step explanation:

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Answer:

168 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

16 fractions less than one half

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3

Answer:

1/3, 1/4, 1/5, 1/6

Answer:

answer of this question is

area of the figure is 85 /2 = 42.5 cm²

please mark my answer as brainlist and plz vote me

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

Monique has a blog with her website and wants to evaluate the engagement of her readers. her blog posts usually take at least 4 minutes to read, and she wants to track the percentage of users who read an entire blog post. she should set up time-on-site goal.

The total amount of time a user spends on your website, also referred to as session duration, is the term "time on site." It is calculated by noting the timestamps of when a visitor accesses your landing page via a search engine or link and when they leave your website.

52 seconds is a decent average time on page benchmark across several industries. B2B websites have the highest Average Time On Page, which is roughly 82 seconds, according to data from 20 billion user sessions. The type of target audience, industry, and device type are just a few of the variables that affect a decent average time on page.

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We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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Given:

The Population of Brownsville is 20,000 in year 2010.

Consider the population function

\(P(t)=20000(1.15)^t\)

To find:

The population in 2012.

Solution:

The population function of Brownsville is

\(P(t)=20000(1.15)^t\)

The Population of Brownsville is 20,000 in year 2010.

So, the given function P(t) represents the population of Brownsville after t years of 2010.

2012 is 2 years after 2010.

Putting t=2 in P(t), we get

\(P(2)=20000(1.15)^2\)

\(P(2)=20000(1.3225)\)

\(P(2)=26450\)

Therefore, the Population of Brownsville is 26,450 in year 2012.

To solve the given differential equation y''' - y'' - 16y' + 16y = 7 - e^x + e^4x using undetermined coefficients, we assume the particular solution has the form:

yp(x) = A - Bx + Cx^2 + (D + Ex)e^x + (F + Gx + Hx^2)e^(4x)

where A, B, C, D, E, F, G, and H are coefficients to be determined.

Now, we will find the derivatives of yp(x):

yp'(x) = -B + 2Cx + (D + Ex)e^x + (4F + 4Gx + 4Hx^2)e^(4x) + (F + Gx + Hx^2)(4e^(4x))

yp''(x) = 2C + (D + Ex)e^x + (4F + 4Gx + 4Hx^2)e^(4x) + (8F + 8Gx + 8Hx^2)e^(4x) + (F + Gx + Hx^2)(16e^(4x))

yp'''(x) = (D + Ex)e^x + (4F + 4Gx + 4Hx^2)e^(4x) + (12F + 12Gx + 12Hx^2)e^(4x) + (16F + 16Gx + 16Hx^2)e^(4x)

Substituting these derivatives back into the original differential equation, we have:

(D + Ex)e^x + (4F + 4Gx + 4Hx^2)e^(4x) + (12F + 12Gx + 12Hx^2)e^(4x) + (16F + 16Gx + 16Hx^2)e^(4x) - (2C + (D + Ex)e^x + (4F + 4Gx + 4Hx^2)e^(4x) + (8F + 8Gx + 8Hx^2)e^(4x) + (F + Gx + Hx^2)(16e^(4x))) - 16(-B + 2Cx + (D + Ex)e^x + (4F + 4Gx + 4Hx^2)e^(4x) + (F + Gx + Hx^2)(4e^(4x))) + 16(A - Bx + Cx^2 + (D + Ex)e^x + (F + Gx + Hx^2)e^(4x)) = 7 - e^x + e^(4x)

Simplifying the equation, we can group like terms:

(11D + 4E - 16B - 7)e^x + (11F + 4G)e^(4x) + (-16A + 2C - 11D + 4E + 8B + 16F + 4G)e^(4x) + (12F + 4H - 8G)e^(4x) + (16F + 4H - 16G)e^(4x) = 0

To satisfy this equation, the coefficients of each exponential term must be zero. Therefore, we have the following system of equations:

11D + 4E - 16B - 7 = 0 (equation 1)

11F + 4G = 0 (equation 2)

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Answer: 1.3125 cubic centimeters

Step-by-step explanation:

7/4 is 1.75

3/2 is 1.5

1/2 is 0.5

So 1.75 times 1.5 times 0.5 is 1.3125

1.3125 = \(1\frac{5}{16}\)

Answer:

( - 6 , 3 )

Point c is 6 units above point b and 9 units to the left of point d

Given:

The expression is:

\(13-\dfrac{5}{y}\)

To find:

The description that matches the given expression.

Solution:

We have,

\(13-\dfrac{5}{y}\)

Here, \(\dfrac{5}{y}\) is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

Answer:

$ 100 + $ 60 y

Step-by-step explanation:

The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.

Let the total number of fillings is y.

The total cost of fillings = $ 60 x y =  $ 60 y

The total cost of the treatment = $ 100 + $ 60 y

Answer:

-2,2

Step-by-step explanation:

Given statement "We conduct a test of hypothesis by assuming that ha is correct, since that is the hypothesis we are trying to show is true." is true. Because we start by assuming that the null hypothesis is correct, not the alternative hypothesis, when conducting a test of the hypothesis.

When conducting a test of hypothesis, we do not assume that Ha (the alternative hypothesis) is correct.

Instead, we begin by assuming that the null hypothesis (H0) is true.

The null hypothesis typically represents a statement of "no effect" or "no difference" between two groups or variables.

The alternative hypothesis (Ha) represents the statement we are trying to prove or gather evidence for but we must start with the assumption that the null hypothesis is correct.

State the null hypothesis (H0) and the alternative hypothesis (Ha).

The null hypothesis typically represents the status quo or a baseline assumption, while the alternative hypothesis represents the claim you want to prove or gather evidence for.

Determine the level of significance (α), which is the probability of rejecting the null hypothesis when it is actually true. Common significance levels are 0.05, 0.01, and 0.001.

Select an appropriate test statistic, which depends on the type of data and the hypothesis being tested. Examples include the t-test, chi-square test, and ANOVA.

Collect data and calculate the value of the test statistic based on the data.

Compare the calculated test statistic value to the critical value for the chosen level of significance.

If the test statistic is more extreme than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.

Otherwise, we fail to reject the null hypothesis.

Hence, the statement is false.

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The equation of the paraboloid in cylindrical coordinates is z = 9 + r^2 and the equation of the cylinder in cylindrical coordinates is r = sqrt(5).

In cylindrical coordinates, the paraboloid \(z = 9 + x^2 + y^2\)has the equation \(z = 9 + r^2\), where r is the radius in the xy-plane, and the cylinder \(x^2 + y^2 = 5\) has the equation r = \(\sqrt(5),\) where r is the distance from the z-axis to the cylinder's surface.

To evaluate the integral, we first need to set up the limits of integration in cylindrical coordinates. The limits for r are from 0 to \(\sqrt(5),\) and the limits for theta are from 0 to 2pi. The limits for z are from 0 to \(9 + r^2\), which is the equation of the paraboloid.

Using these limits, the integral to evaluate is:

∫∫∫ E dz dr dθ

= ∫ from 0 to 2π ∫ from 0 to \(\sqrt({5})\) ∫ from 0 to \(9 + r^2\)dz r dr dθ

Simplifying this integral gives:

= ∫ from 0 to 2π ∫ from 0 to \(\sqrt(5)\) \((9 + r^2)\) r dr dθ

Evaluating this integral gives the answer:

= 192π/5

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Answer:

5000 cm3

ps:im not that sure but try it

Step-by-step explanation:

1 litre = 1000 cm3

5 litre=5000

The volume of the 5 litre tin is 5000 cm³.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We have to convert the capacity of a 5 litre tin to its volume in cm

Given that 1 litre is equal to 1000 cm³.

Therefore, 5 litres is equal to 5 times of thousand

5 litres × 1000 cm³/litre

= 5000 cm³

Therefore, the volume of the 5 litre tin is 5000 cm³.

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The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.

Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:

F_B = m_p * g

Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.

To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).

m_b = V * ρ

Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).

m_p = n * m

Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.

n = (F_B) / (m * g)

Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

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The bull and alternative hypotheses for consumer advocate is  H₀ : μ = 4 versus H₁ : μ < 4

The null and alternative hypotheses for this case will be as follows:

Null Hypothesis (H₀): The mean amount of cashews per bag is equal to 4 ounces.

Alternative Hypothesis (H₁): The mean amount of cashews per bag is less than 4 ounces.

In symbolic notation, it can be represented as:

H₀: μ = 4

H₁: μ < 4

The null hypothesis assumes that "each bag contains 4 ounces of cashews" is true, while the alternative hypothesis posits that the average amount of cashews per bag is actually less than 4 ounces.

By conducting hypothesis testing, consumer advocates can assess whether the evidence from the sample rejects the null hypothesis in favor of the alternative hypothesis, suggesting that the claim may be incorrect. 

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