Sammy is moving and has two boxes to fill. What is the total volume (in cubic feet) that Sammy has between the two boxes? *

The local minimum of the function is at (?,?,?) and the local maximum is at (?,?,?).

The function f(x) = x³ - 2x + 7y² + y³ represents a cubic function with two variables, x and y. To find the local minimum and maximum of this function, we need to take partial derivatives with respect to x and y and solve for when both derivatives equal zero.

Taking the partial derivative with respect to x, we get:

f'(x) = 3x² - 2

Setting f'(x) = 0 and solving for x, we find two possible values: x = -√(2/3) and x = √(2/3).

Taking the partial derivative with respect to y, we get:

f'(y) = 14y + 3y²

Setting f'(y) = 0 and solving for y, we find one possible value: y = 0.

To determine whether these critical points are local minimum or maximum, we need to take the second partial derivatives.

Taking the second partial derivative with respect to x, we get:

f''(x) = 6x

Evaluating f''(x) at the critical points, we find f''(-√(2/3)) = -2√(2/3) and f''(√(2/3)) = 2√(2/3). Since f''(-√(2/3)) < 0 and f''(√(2/3)) > 0, we can conclude that (-√(2/3),0) is a local maximum and (√(2/3),0) is a local minimum.

Therefore, the local minimum is (√(2/3),0) and the local maximum is (-√(2/3),0).

Learn more about Partial derivatives

brainly.com/question/28751547

#SPJ11

Answer:

90 times

Step-by-step explanation:

I don't rly know how to explain it but it's 90 and I hope this helps you at least know the answer if not then sorry for wasting your time and may God bless you:)

Answer:

The height of the window is 150 centimeters.

Step-by-step explanation:

Use ratio and proportion to find the height of the window.

\(\frac{h}{60cm} = \frac{210cm}{84cm}\)

Cross multiply

\(h = \frac{210cm(60cm)}{84cm} \\h = \frac{12600cm^2}{84cm} \\h = 150 cm\)

The magnitude of the charge on the particle cannot be determined with the given information.

In the context of a charged particle moving in a magnetic field, the magnitude of the charge on the particle is a crucial factor in determining its behavior.

However, the given information does not provide any details or measurements related to the charge of the particle. Therefore, it is not possible to determine the magnitude of the charge based on the given information alone.

To calculate the magnitude of the charge, additional information such as the radius of the circular path, the strength of the magnetic field, or the mass of the particle would be required. Without this additional information, it is not possible to determine the magnitude of the charge on the particle.

Learn more about proton here : brainly.com/question/1176627

#SPJ11

The required sample size is 99 salespeople.

To estimate the population mean of travel days per year for salespeople with 98% confidence and a margin of error of 6 days, we need to determine the appropriate sample size. We can use the formula n = (z^2 * σ^2) / E^2, where n is the sample size, z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population (or sample, if known), and E is the desired margin of error. In this case, z = 2.33 (from the z distribution table for a 98% confidence level), σ = 32 (from the pilot study), and E = 6. Plugging these values into the formula gives us n = (2.33^2 * 32^2) / 6^2, which is approximately 98.68. We need to round this up to the next whole number, which is 99. Therefore, we should sample 99 salespeople to estimate the mean number of travel days per year for salespeople with 98% confidence and a margin of error of 6 days.

Learn more about sample size here

https://brainly.com/question/30647570

#SPJ11

Here is some info that might help


-2 factors is a hint



+0 +2 +4 is a fractor of 4/1


if not 41

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

The classification model is used to define the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Percentage:

In math,  number or ratio that can be expressed as a fraction of 100 refers the percentage.

Given,

Here we have a dollar general sends out a $5 off coupon to its email subscribers.

And we need to find the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Then the model used to define the this type of situation is refers as the classification model, because in this model, we have classify the given group of people based on the constraint.

To know more about Percentage here.

https://brainly.com/question/13729841

#SPJ4

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

To Learn More About Programming

https://brainly.com/question/24361247

#SPJ11

Answer:

\(y = -\dfrac{7}{3}x +5\)

Step-by-step explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run
\(m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}\)

where (x₁, y₁) and (x₂, y₂) are any two points on the line

\(m = \dfrac{-2 - 19}{3 - (-6)}\\\\\)

\(\\\\m= \dfrac{-21}{9}\)

\(m = -\dfrac{7}{3}\)

So slope-intercept form is
\(y = -\dfrac{7}{3}x +b\\\\\)

\(-2 = -\dfrac{7}{3}\cdot 3 +b\\\\\\\\-2 = -7 + b\\\\\)

or 7 -2 = b

==> b = 5

\(y = -\dfrac{7}{3}x +5\)

Therefore, the slope of the line passing through the points (2, 1) and (8, 9) is 4/3. Answer choice A is correct.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, we have:

x1 = 2, y1 = 1

x2 = 8, y2 = 9

slope = (9 - 1) / (8 - 2) = 8 / 6 = 4 / 3

To know more about slope,

https://brainly.com/question/1242157

#SPJ11

Answer:

y=2x+1

Step-by-step explanation:

m = slope (rise/run) = +2

b= y-intercept (1)

y=2x+1

Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;

XZ = XY + YZ

The length of the segment BD is 36  cm

The reason the above value is correct is as follows:

Known:

The ratio in which the points A, B, C, and D divide the line segment = 4:3:1

The length of segment AD = 72 cm

Required:

The length of BD

Method:

Calculate the length of BC and CD and add their values to get BD

Solution:

Let the ratios be given unit proportions of the segment AD such that we have;

AB = 4 units

BC = 3 units

CD = 1 unit

By segment addition postulate, we have;

AD = AB + BC + CD

∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm

∴ 1 unit = 72 cm/8 = 9 cm

1 unit = 9 cm

BD = BC + CD by segment addition postulate

BC = 3 units = 3 × 1 unit

∴ BC = 3 × 9 cm = 27 cm

BC = 27 cm

CD = 1 unit

∴ CD = 9 cm

∴ BD = 27 cm + 9 cm = 36 cm

The length of segment BD = 36 cm

Learn more about segment addition postulate here:

https://brainly.com/question/17015321

Answer:

7-x=-7+x

14-x=x

14=2x

x=7

Step-by-step explanation:

Answer:

7 - x =-7 +x

x  = 7

Step-by-step explanation:

7-7 =-7 +7

0 = 0

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

B) A dot plot would show 7 points for numbers greater than 2.

D) A histogram would have a maximum of 7 bars.

Step-by-step explanation:

quiz on edg told me ;)

The true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.

In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.

Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.

Therefore, the true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

Learn more about the dot plot and histogram on:

https://brainly.com/question/14577528

Answer: 4/10

Step-by-step explanation:

Answer:

I believe it's that Santa loses 19 cents total.

Santa lost 7 cents on Monday and 12 cents on Tuesday. 7 + 12 = 19.

Answer:

6

ENTER IT NOW, PLEASE GIVE ME BRAINLIEST

Frodo Baggins sells soup in 250 mL containers, there are 0.25 liters of soup in one container.

We must change the measurement from milliliters to liters in order to determine how much soup there is in one container.

In 1 L we have 1000 mL so in one container of 250 mL we have the following content in liters:

So by cross multiplication method we can say that,

1L            ⇒      1000mL

X             ⇒         250mL

So,

x*1000 = 1*250

x = 250/1000

x = 0.25 liters.

Therefore, there is 0.25 liters of soup in one container.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Learn more about Container problems:

https://brainly.com/question/29513198

#SPJ4

Complete question:

Frodo Baggins sells soup in 250 mL containers. How many liters of soup are in one container?

0.25 Liters

250 Liters

0.0025 Liters

2.5 Liters

Answer: W = P/2 - L

Step-by-step explanation: You divide everything by 2.

Answer:

the answers B c=35h+50

Step-by-step explanation:

Answer:

the answer is D. c= 85h

Step-by-step explanation:

i think this is the answer if it is correct plz give brainliest.

Answer:

-40

Step-by-step explanation:

h(x) = -7(6) +2

-42+2 = -40

Answer: -40

Step-by-step explanation:

-7x6+2= -40

hope this helps!!

Two unit vectors that make an angle of 60 degrees with v = (3, 4) are approximately (2.5000, 4.3301) and (-2.5000, -4.3301).

To find two unit vectors that make an angle of 60 degrees with vector v = (3, 4), we can use trigonometry and vector operations.

Step 1: Calculate the magnitude of vector v:

|v| = sqrt(3^2 + 4^2) = 5

Step 2: Convert the given angle of 60 degrees to radians:

θ = 60 degrees * (π/180) = π/3 radians

Step 3: Calculate the components of the unit vector in the same direction as v:

u1 = cos(θ) = cos(π/3) ≈ 0.5000

u2 = sin(θ) = sin(π/3) ≈ 0.8660

Step 4: Multiply the components by the magnitude of v to obtain the unit vectors:

u1 = u1 * |v| ≈ 0.5000 * 5 ≈ 2.5000

u2 = u2 * |v| ≈ 0.8660 * 5 ≈ 4.3301

Know more about trigonometry here:

https://brainly.com/question/11016599

#SPJ11

Answer:

10,20,10,10,10,20 tenths

Answer:

12.2

Step-by-step explanation:

The mean is the average, so we add up the number of movies, and divide by 6 beacause they are reported by 6 students

Mean (Average) = (12+17+8+13+5+18) / 6

Mean (Average) = 73 / 6

Mean (Average) = 12.16666667

The problem asks us to round to the nearest tenth, which is the first decimal place.

Since the 2nd decimal place, 6, is more than 5, we round the first decimal place up to one and remove the rest.

12.2

Answer:

To find the number of degrees the temperature of the oven increases by in one minute, we can use the slope-intercept form of a linear equation, which is written as y = mx + b. In this equation, y represents the dependent variable (in this case, the temperature of the oven), x represents the independent variable (in this case, the time in minutes), m is the slope (which represents the rate of change of y with respect to x), and b is the y-intercept (which represents the starting value of y when x is zero).

To find the slope of the line that represents the temperature of the oven over time, we can use the two points provided in the problem: (4, 158) and (7, 224). The slope is calculated using the following formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the values from the two points, we get:

m = (224 - 158) / (7 - 4) = 66 / 3 = 22

This means that the temperature of the oven increases by 22 degrees for every one minute increase in time.

The y-intercept of the line (the value of y when x is zero) represents the starting temperature of the oven. In this case, the starting temperature is not provided, so we cannot determine the y-intercept. However, we can use the slope and one of the points to find the equation of the line in the form y = mx + b:

y = 22x + b

Substituting one of the points into the equation, we get:

158 = 22 * 4 + b

Solving for b, we get:

b = 158 - 88 = 70

So the equation of the line representing the temperature of the oven over time is:

y = 22x + 70

This equation tells us that for every one minute increase in time, the temperature of the oven increases by 22 degrees, starting from a temperature of 70 degrees.

Answer:

2.925

this is the answer

Answer:

2.93

Step-by-step explanation:

This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

To know more about probability visit:

https://brainly.com/question/12431044

#SPJ1