Find the rectangular box of maximum volume if the sum of the lengths of the edges (x+y) is 180 cm. (Enter your answer as a comma-separated list of dimensions in cm.) ta

Answer: someone already answered this check the link out

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Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed

2,40

Dejar:

T = Tomate

n = cebolla

(2 kilograms of t) plus 1 kilogram of n = 8.40

(1 kilogram plus 2 kilograms) equals 7.80.

2t + n = 8,40 - -

t + 2n = 7,80 - -

De (2);

t = 7,80 - 2n

Toggata = 7.80 - 2n en

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2

t = 7,80 - 4,80

t = 3

As a result, the price of 1 kg of celery is $2.40.

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The implicit differentiation of y? + cos y = x^6 + 3xyx yields (dy/dx)^2 - sin(y) * dy/dx = 6x^5 + 3y + 3xy * dy/dx. The first principles differentiation of f(x) = x^3 involves expanding [(x + h)^3 - x^3] / h and simplifying to find f'(x) = 3x^2.

 To differentiate the function implicitly, we take the derivative of both sides with respect to x, applying the chain rule and power rule. The result is (dy/dx)^2 - sin(y) * dy/dx = 6x^5 + 3y + 3xy * dy/dx.

To differentiate the function from first principles, we use the definition of the derivative. Simplifying [(x + h)^3 - x^3] / h and taking the limit as h approaches 0, we obtain the derivative f'(x) = 3x^2.



(a) In order to differentiate the function implicitly, we consider the derivative of each term on both sides of the equation with respect to x. We apply the chain rule to differentiate the terms involving y, and the power rule to differentiate the terms involving x. Combining these derivatives, we obtain the differentiated equation.

(b) To differentiate the function f(x) = x^3 from first principles, we apply the definition of the derivative: [f(x + h) - f(x)] / h. Expanding the numerator, we simplify the expression and eliminate the terms that vanish as h approaches 0. The resulting expression represents the derivative of f(x) with respect to x, which is 3x^2.

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Figure LMNO is not congruent to figure RSTU because motions cannot be used to map figure LMNO onto figure RSTU.

Figure LMNO is similar to figure RSTU because dilation can be used to map figure LMNO onto figure RSTU.

The scale factor is 3

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

Answer:

Step-by-step explanation:

15^2 - 12^2 = a^2

225 - 144 = 81

a^2 = 81

a=9

Answer: they meet at \(20\) months. Bear: \(50x20=1000\) \(1000+500=1500\) Mrs. Killcrease: \(30x20=600\) \(900+600=1500\)

Step-by-step explanation:

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Sione needs to play 21 games to score more than 150 points

The total number of points needed is 150. And we are told he already has 110 goals on standby. If he averages 2 points per game. Then we would have a mathematical inequality in the range

where x is the amount of games needed. And 2x represents the amount of points needed.

The equation can be solved by collecting like terms and solving

2x = 150 - 110

2x = 40

x = 40/2

x = 20

This means that Sione needs to play at least 20 games to equal 150 points and at least 21 games to surpass this tally.

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When a distribution is shown as a symmetrical bell-shaped curve then the mean, median, and mode are equal i.e., option (a) is correct.

A symmetrical bell-shaped curve, also known as a normal distribution or Gaussian distribution, is characterized by its symmetry around the mean.

In this type of distribution, the mean, median, and mode all coincide at the center of the curve.

This means that the central tendency measures, such as the mean (average), median (middle value), and mode (most frequent value), are all equal.

Option (a) states that the mean, median, and mode are equal, which aligns with the properties of a symmetrical bell-shaped curve. This equality occurs because the data is evenly distributed on both sides of the mean, resulting in a balanced distribution.

Options (b) and (d) suggest that the mean is either less than or greater than the median and mode, which does not hold true for a symmetrical distribution.

In a symmetrical distribution, the mean is located at the center of the data, and the median and mode share the same value as the mean.

Option (c) mentions moderate uniformity, but a symmetrical bell-shaped curve does not specifically indicate uniformity. Uniformity refers to a distribution where all data points have equal probability, resulting in a flat line.

In contrast, a symmetrical bell-shaped curve indicates a normal distribution with the majority of data concentrated around the mean, gradually decreasing towards the tails.

Therefore, based on the given options, option (a) is the correct conclusion when the distribution is shown as a symmetrical bell-shaped curve.

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Answer:

Step-by-step explanation:

22

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

Answer:

√33

Step-by-step explanation:

In the image .

The expression (6 + √3) (6 - √3) / √33 upon  rationalizing the denominator gives √33.

Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.

The given expression is (6 + √3) (6 - √3) / √33

We have the identity,

(a + b) (a - b) = a² - b²

∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33

                                     = (36 - 3) / √33

                                     = 33 /√33

Multiplying numerator and denominator by √33,

(6 + √3) (6 - √3) / 33 = (33 × √33)  / (√33 × √33)

                                   = 33√33 / 33

                                   = √33

Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.

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To find the ucrit (critical value) for a two-sample t-test with the given information, you need to use a t-distribution table.

Since a = 0.052 tail, the significance level (α) is 0.052. You need to find the degrees of freedom (df) first:

Step 1: Calculate the degrees of freedom:
df = n1 + n2 - 2
df = 6 + 8 - 2
df = 12

Step 2: Look up the ucrit value in the t-distribution table using α and df:
For a one-tailed test at α = 0.052 and df = 12, the ucrit value is approximately 1.782.

Your answer: The ucrit value for n1 = 6, n2 = 8, and a = 0.052 tail is approximately 1.782.

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Division is one of the four fundamental arithmetic operations. With the leftover flour of 7.45oz, charlie can make approximately 8 muffins.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

A.) The total flour Charlie has was 40 oz, out of this he used 18.3 oz of flour. The amount of flour left now would be 21.7 (40-18.3).

Since a single muffin uses 0.95 oz of flour, therefore, the number of muffins Charlie made will be,

Number of muffins = 21.7/0.95 = 22.84 ≈ 23 muffins

B.) When Charlie had 7.45 oz of flour leftover, then the number of muffins would be,

Number of muffins = 7.45/0.95 = 7.84 ≈ 8 muffins

Hence, with the leftover flour of 7.45oz charlie can make approximately 8 muffins.

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Problem 1:

1) Simplify 1/3p to p/3.

-p/3 = 7

2) Multiply both sides by 3.

-p = 7 x 3

3) Simplify 7 x 3 to 21.

-p = 21

4) Multiply both sides by -1.

p = -21

Problem 2:

1) Simplify 4/5x to 4x/5.

48 = 4x/5

2) Multiply both sides by 5.

48 x 5 = 4x

3) Simplify 48 x 5 to 240.

240 = 4x

4) Divide both sides by 4.

240/4 = x

5) Simplify 240/4 to 60.

60 = x

6) Switch sides.

x = 60

Thanks,

Eddie E.

Answer:

a) p= -21

b) x= 60

Step-by-step explanation:

A) -1/3p=7

   /-1/3.  /1/3

    p=7*3/-1

   p= -21

B) 48=4/5x

   /4/5.  /4/5

   48*5/4=x

240/4=x

60=x

Hopes this helps please mark brainliest

Answer:

it should be built at the centre

A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

A polynomial function

Now,

Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.

A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.

Therefore, by the function the answer will be n - 1.

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Answer:

Step-by-step explanation:

Here, we want to graph the given equations

1. y = 2x - 3

The general form of the equation of a straight line is;

y = mx + b

m is the slope and b is the y-intercept

To plot the line, we need the x intercept and the y-intercept

At the x-intercept, the value of y is zero

at the y-intercept . the value of x is zero

From the equation, we have the y-intercept as -3

To get the x-intercept, set y = 0

0 = 2x - 3

2x = 3

x = 3/2

x = 1.5

so to graph the line, we have to join the points ;

(0,-3) and (1.5,0)

b) y = -3x + 2

The y-intercept is 2

To get the x intercept, set y = 0

0 = -3x + 2

3x = 2

x = 2/3

so, we have to join the points (2/3,0) and (0,2)

We have the lines plotted as an attachment

Answer:

prove: DF-~EF- DF~EF ~~AD

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

Answer: Cost Price = 21,50,000

Step-by-step explanation:

Answer:

that is the range of f

Step-by-step explanation:

f is that ..that is f..f is that

Answer:

The coordinates of the image triangle will be:

Please also check the attached figure.

The green triangle represents the image triangle.

Step-by-step explanation:

We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reveres its sign.

Thus,

The rule of reflection of the point P(x, y) across the x-axis is:

P(x, y) → P'(x, -y)

In the attached figure, let the coordinates of the triangle are:

Using the rule of reflection across the x-axis:

P(x, y) → P'(x, -y)

Thus, the coordinates of the image triangle will be:

A(-3, 1) → A'(-3, -1)

B(-3, 3) → B'(-3, -3)

C(-1, 3) → C'(-1, -3)

Therefore, the coordinates of the image triangle will be:

Please also check the attached figure.

The green triangle represents the image triangle.

If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Let P represent the center point

First step is to calculate or to determine the central angle

Central angle=360°/6

Central angle=60°

Second step is to calculate the degree that hexagon rotate if it  rotate counterclockwise about its center

Hence,

∠KPO=2×60°

∠KPO=120°

Therefore If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

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the one with 6 and 27 first then 5 and 50 then 6 and 33

Step-by-step explanation:

i took the test and got it right good luck plato family

In order from least to greatest based on their sums, the series can be written as -

Series 2 < Series 3 < Series 1

We have three series.

We have to arrange these series from least to greatest based on their sum.

The formula to find the sum of first ' n ' terms of a Geometric Progression is -

\(S_{n} =\frac{a(1-r^{n} )}{1-r} \\\)

According to the question given, we have - Series 1, Series 2 and Series 3 -

  \(\sum_{k=0}^{n}33 (\frac{1}{2}) ^{k} = 33 + \frac{33}{2} +\frac{33}{4} ....\\\sum_{k=0}^{n}27 (\frac{1}{3}) ^{k} = 27 + \frac{27}{3} +\frac{27}{9} ....\\\\\sum_{k=0}^{n}50 (\frac{1}{8}) ^{k} = 50 + \frac{50}{8} +\frac{50}{64} ....\\\\\\\sum_{k=0}^{6}33 (\frac{1}{2}) ^{k} = \frac{33(1- (0.5)^{6}) }{1 -0.5} =64.96\\\sum_{k=0}^{6}27 (\frac{1}{3}) ^{k} = \frac{27(1- (\frac{1}{3} )^{6}) }{1 -\frac{1}{3} } = 40.44\\\sum_{k=0}^{6}50 (\frac{1}{8}) ^{k} = \frac{33(1- (\frac{1}{8} )^{6}) }{1 -\frac{1}{8} } =57.14\)

It can be seen from the above results that : Series 2 < Series 3 < Series 1

Hence,  in order from least to greatest based on their sums, the series can be written as -

Series 2 < Series 3 < Series 1

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Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

The relations in a right triangle are given as follows:

This situation can be modeled by a right triangle described as follows:

Hence the angle is found as follows:

\(\cos{\theta} = \frac{13}{18}\)

\(\theta = \arccos{\left(\frac{13}{18}\right)}\)

\(\theta = 43.76^\circ\)

Hence option D is correct.

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Answer:

46.24

Step-by-step explanation:

:)