a food truck sells 1200 burgers a week on average. the truck operates 7 days a week. (we will assume no variability from day to day.) the food truck owner of wants to be sure that the ingredients are fresh and that hamburger is not kept in the refrigerator more than 2 days on average. if each burger uses .25 pounds of hamburger, what should the maximum pounds of hamburger in the food truck be?

Answer:

To find out what should be subtracted from -5/4 to get -1, we need to solve the equation if you dont know something in math you can always put it as x first.

-5/4 - x = -1

where x is the number that needs to be subtracted.

To solve for x, we have to simplify the left side of the equation:

-5/4 - x = -1

-5/4 + 4/4 - x = -1  (adding 4/4 to both sides)

-1/4 - x = -1

Now, we can isolate x by adding 1/4 to both sides of the equation:

-1/4 - x = -1

-1/4 + 1/4 - x = -1 + 1/4  (adding 1/4 to both sides)

-x = -3/4

Finally, we can solve for x by multiplying both sides by -1:

-x = -3/4

x = 3/4

Therefore, the number that should be subtracted from -5/4 to get -1 is 3/4.

To solve the given initial value problem using Laplace transforms, we first need to find the Laplace transform of the differential equation.

Let Y(s) be the Laplace transform of y(t). Taking the Laplace transform of the differential equation y'' + 3y' = 0 yields the equation s^2Y(s) - sy(0) - y'(0) + 3sY(s) - 3y(0) = 0, where y(0) = -1 and y'(0) = -4 are the initial conditions. Now we can solve for Y(s) by rearranging the equation and substituting the initial conditions:

s^2Y(s) - sy(0) - y'(0) + 3sY(s) - 3y(0) = 0

s^2Y(s) + 3sY(s) = s - 3

Y(s)(s^2 + 3s) = s - 3

Y(s) = (s - 3) / (s^2 + 3s)

To decompose the expression into partial fractions, we need to factor the denominator: Y(s) = (s - 3) / (s(s + 3)) Using partial fraction decomposition, we can write Y(s) as: Y(s) = A/s + B/(s + 3) Now we can solve for the constants A and B. Multiplying both sides by the denominators, we have: s - 3 = A(s + 3) + Bs

Expanding and equating coefficients, we get: A + B = 1 , 3A = -3 Solving these equations, we find A = -1 and B = 2. Therefore, the partial fraction decomposition of Y(s) is: Y(s) = -1/s + 2/(s + 3) Now, we can use inverse Laplace transform to find y(t). Applying the inverse Laplace transform to each term, we get: y(t) = -1 + 2e^(-3t) So, the solution to the initial value problem is y(t) = -1 + 2e^(-3t).

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Answer:

\(\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}\)

The first one: 3

The second one: \(\frac{2}{9}\)

Step-by-step explanation:

To find the common numerator, you can multiply by 3 on both the numerator and denominator.

tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

Answer:

2

Step-by-step explanation:

Answer:

The equation is y=3/2x

Step-by-step explanation:

Answer:

q

Step-by-step explanation:

just is

Answer:

yea like the other guy said it is q

Step-by-step explanation:

I checked myself and it is correct.

All humans are considered to be consumers. A consumer is an organism that obtains its energy and nutrients by feeding on other organisms.

As humans, we consume food to provide our bodies with the energy and nutrients necessary for survival. Whether we eat meat, plants, or a combination of both, we are still consumers. In the case of herbivores, they consume only plant matter, but they are still considered consumers because they are obtaining their energy and nutrients from other living organisms (plants). Therefore, regardless of our dietary choices, all humans are classified as consumers in ecological terms.

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Answer:

√40 = 2√10=6.32455532034

Answer:

2✓10

Step-by-step explanation:

Assuming you'd like to simplify:

✓4✓10

2✓10

Step-by-step explanation:

At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.

3 out of every 7 employees use public transportation so 4 out of every 7 employees do NOT use public transportation.

9,800 / 7 = 1,400

1,400 * 4 = 5,600

Answer:

3.106

Step-by-step explanation: hope this helps

Answer:

Step-by-step explanation:

\(Sin \ 15 =\dfrac{opposite \ side}{hypotneuse}\\\\\\0.2588=\dfrac{x}{12}\\\\\\0.2588*12=x\)

x = 3.1056

x = 3.1

ANSWER

EXPLANATION

Given;

c) Hence;

In decimal form;

d)

Answer:

A-- 98.9 degrees in the morning

B-- 0.3 degrees above average

Step-by-step explanation:

Answer:

98.9 degrees F, .3 degrees

Step-by-step explanation:

Brainliest Please!!!

a) It is verified that the situation is binomial

b. Probability of exactly coining 4 times is 1.83 × 10⁻³

c. Probability of winning atleast 3 times is 0.0234

d. Mean number of wins is 0.555

The total number of outcomes per toss is 6×6×6=216

a) Number of trails n = 20

Probability of win P = 6/216 = 1/36

Probability of lost Q = 1 - P

= 1 - 1/36

= 35/36

The outcome has two possibilities with P = 1/36, Q = 35/36  and with n = 20 times. Hence, it is binomial.

(B) Probability of exactly coining 4 times

\(P= C^{20}_{4} P^4Q^{16}\)

= 4845 × (1/36)⁴ × (35/36)¹⁶

= 1.83 × 10⁻³

(C) Probability of winning atleast 3 times

\(P= 1-C^{20}_{0} P^0Q^{20}-C^{20}_{1} P^1Q^{19}-C^{20}_{2} P^2Q^{18}\)

= 1 - 1 × (1/36)⁰ × (35/36)²⁰ - 20 × (1/36)¹ × (35/36)¹⁹ - 190 × (1/36)² × (35/36)¹⁸

= 1 - 0.5692 - 0.3252 - 0. 0882

= 0.0234

(D) Mean number of wins = nP

= 20 × (1/36)

= 0.555

a) It is verified that the situation is binomial

b. Probability of exactly coining 4 times is 1.83 × 10⁻³

c. Probability of winning atleast 3 times is 0.0234

d. Mean number of wins is 0.555.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

Answer : 1/2 gallon

Explanation:

There were a total of 5 gallons collected, as the question states.

There are 3 x's above 1/4, 2 x's above 3/8, 4 x's above 5/8 and 1 x above 1. This is a total of

3+2+4+1 = 10 x's. This means there were 10 trees.

If 5 gallons is evenly distributed among 10 trees, this would give us the ratio 5/10, which simplifies to 1/2 gallon per tree.

....this answer is not from me. The same question was asked on brainy and I've copy pated it, it is the right answer tho. Credit goes to "MsEHolt" for answering.

Answer:

y=75 and x=15 that is all

Neglect a is constructive response to job satisfaction is the false statement.

Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.

Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.

When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.

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Answer:

Step-by-step explanation:

1.Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the tangent vectors by taking the respective partial derivatives. Tu=<7, 1, 13> by taking the u derivatives of the components and Tv=<0, -1, 1> by taking the v derivatives of the components.

2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>

3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30. Multiply this by the magnitude of the normal vector to find that Area(S)=30sqrt(294)

4. To integrate, we first must put the initial function in terms of the parameters we found in the first step. Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (sqrt294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6). From here the problem can be integrated like any other double integral, the final answer being 190sqrt(294)

To find the point on the surface 6x = y^2 + z^2 where its tangent plane is parallel to a given plane, we need to find a point on the surface and determine the normal vector of the surface at that point.

Then, we can compare the normal vector of the surface to the normal vector of the given plane to check if they are parallel.

Let's first find a point on the surface by substituting a value for either y or z and solving for x. Let's choose y = 0:

6x = 0^2 + z^2

6x = z^2

x = z^2/6

So, one point on the surface is (z^2/6, 0, z).

To find the normal vector of the surface at this point, we can calculate the partial derivatives with respect to x, y, and z:

∂/∂x (6x) = 6

∂/∂y (y^2 + z^2) = 0

∂/∂z (y^2 + z^2) = 2z

The normal vector is then N = (6, 0, 2z) = (6, 0, 2z) / ||(6, 0, 2z)||, where ||N|| represents the magnitude of N.

To determine if the tangent plane is parallel to a given plane, we compare the normal vector of the surface to the normal vector of the given plane. If they are parallel, their direction vectors should be proportional.

If the given plane is parallel to the xy-plane and has a normal vector N_1 = (0, 0, 1), we can compare it to the normal vector of the surface. In this case, we see that the z-component of N (2z) is not proportional to the z-component of N_1 (1). Therefore, the tangent plane of the surface at the chosen point is not parallel to the given plane.

To find a point on the surface where its tangent plane is parallel to the given plane, we would need to choose a different point on the surface such that the normal vector of the surface at that point is parallel to the given plane's normal vector.

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The antiderivative of f(x) = x/√x  is \((2/3)x^{3/2}  + C\),  

where C is the constant of integration.

To find the antiderivative of the given function.

The function is: f(x) = x/√x

First, let's rewrite the function in a more convenient form for integration:
f(x) = x / √x

\(= x / x^{1/2}\)

\(= x^{1 - 1/2}\)

\(= x^{1/2}\)
Now, let's find the antiderivative using the power rule for integration:
∫\(x^{1/2} dx\)
To apply the power rule, we need to add 1 to the exponent and then divide by the new exponent:
Antiderivative = \((x^{(1/2) + 1)) / ((1/2) + 1} ) + C\)
Antiderivative =\((x^{3/2/ 3/2} + C)\)
Finally, multiply by the reciprocal to simplify the expression:
Antiderivative = \((2/3)x^{3/2} + C.\).

An antiderivative, also known as an indefinite integral, is a function that, when differentiated, yields a given function. In other words, an antiderivative of a function f(x) is a function F(x) such that F'(x) = f(x).

For example, if f(x) = 2x, then an antiderivative of f(x) would be F(x) = x^2 + C,

where C is a constant of integration.

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The ship is approximately 14.879 miles away from the port, and its bearing from the port is approximately 26.35°.

To find the exact values of the ship's distance from the port and its bearing from the port, we can perform the necessary calculations.

Ship's movement on a bearing of 34.0°:

Horizontal component = 13.5 mi * cos(34.0°) ≈ 11.1764 mi

Vertical component = 13.5 mi * sin(34.0°) ≈ 7.3564 mi

Ship's movement due east:

Horizontal component = 3.7 mi

Vertical component = 0

Vector addition:

Horizontal displacement = 11.1764 mi + 3.7 mi ≈ 14.8764 mi

Vertical displacement = 7.3564 mi + 0 ≈ 7.3564 mi

Distance from the port:

Distance = √(Horizontal displacement² + Vertical displacement²)

= √(14.8764 mi² + 7.3564 mi²)

≈ √(221.142 m²)

≈ 14.879 mi

Bearing from the port:

Bearing = arctan(Vertical displacement / Horizontal displacement)

= arctan(7.3564 mi / 14.8764 mi)

≈ 0.4601 rad (in radians)

≈ 26.35° (in degrees)

The ship is approximately 14.879 miles away from the port. The ship's bearing from the port is approximately 26.35°.

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--The given question is incomplete, the complete question is given below " Aship leaves port on a bearing of 34.0° and travels 13.5 mi. The ship then turns due east and travels 3.7 mi. How tar is the ship from port, and what is its bearing from port?"--

(a) cubic function with three significant digit coefficients: P(t) = 150.7 + 0.358t - 0.000219t^2 + 0.0000012t^3.

(b)  function that models the instantaneous rate of change of the U.S. population : P'(t) = 0.358 - 0.000438t + 0.0000036t^2

(c) So, in 2000, the U.S. population was growing at a rate of 0.168 million people per year, and in 2025 it will be growing at a rate of 0.301 million people per year.

(a) To model the U.S. population in millions, we need a cubic function with three significant digit coefficients. Let's first find the slope of the curve at t=0, which is the initial rate of change:
P'(0) = 0.358

Now, we can use the point-slope form of a line to find the cubic function:
P(t) - P(0) = P'(0)t + at^2 + bt^3

Plugging in the values we know, we get:
P(t) - 150.7 = 0.358t + at^2 + bt^3

Next, we need to find the values of a and b. To do this, we can use the other two data points:
P(25) - 150.7 = 0.358(25) + a(25)^2 + b(25)^3
P(50) - 150.7 = 0.358(50) + a(50)^2 + b(50)^3

Simplifying these equations, we get:
P(25) = 168.45 + 625a + 15625b
P(50) = 186.2 + 2500a + 125000b

Now, we can solve for a and b using a system of equations. Subtracting the first equation from the second, we get:
P(50) - P(25) = 17.75 + 1875a + 118375b

Substituting in the values we just found, we get:
17.75 + 1875a + 118375b = 17.75 + 562.5 + 15625a + 390625b

Simplifying, we get:
-139.75 = 14000a + 272250b

Similarly, substituting the values we know into the first equation, we get:
18.75 = 875a + 15625b

Now we have two equations with two unknowns, which we can solve using algebra. Solving for a and b, we get:

a = -0.000219
b = 0.0000012

Plugging these values back into the original equation, we get our cubic function:
P(t) = 150.7 + 0.358t - 0.000219t^2 + 0.0000012t^3

(b) To find the function that models the instantaneous rate of change of the U.S. population, we need to take the derivative of our cubic function:
P'(t) = 0.358 - 0.000438t + 0.0000036t^2

(c) Finally, we can find the instantaneous rates of change in 2000 and 2025 by plugging those values into our derivative function:
P'(50) = 0.358 - 0.000438(50) + 0.0000036(50)^2 = 0.168 million people per year
P'(75) = 0.358 - 0.000438(75) + 0.0000036(75)^2 = 0.301 million people per year

So in 2000, the U.S. population was growing at a rate of 0.168 million people per year, and in 2025 it will be growing at a rate of 0.301 million people per year. This shows that the population growth rate is increasing over time.

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