Hallar alfa con los datos dados en la foto

Answer:

Step-by-step explanation:

dimension

base=x, height =y, as they both are length so x, y >0

Volume of the crate= [tex]x^2y[/tex] = [tex]16ft^3[/tex]

cost

base=b unit money /[tex]ft^2[/tex]

side material = b/2 unit money /[tex]ft^2[/tex]

Top view= b/4 unit money /[tex]ft^2[/tex]

Total Cost=[tex]bx^2 + \frac{b}{2} *4xy + \frac{b}{4} *x^2[/tex] = [tex]2b( \frac{5}{8} *x^2 + xy)[/tex]

function to be minimized  = [tex]\frac{5}{8}*x^2 + xy\\[/tex]  , [tex]x^2y =16[/tex]

put [tex]y=16/x^2[/tex]

f(x) = [tex]\frac{5}{8}*x^2 + x*\frac{16}{x^2}[/tex]

upon differentiating this equation

f'(x)=0

[tex]\frac{5}{4}*x -16x^-2 = 0[/tex]

upon solving this we get [tex]x=4/\sqrt[3]{5}[/tex] [tex]y= \sqrt[3]{25}[/tex]

and further testing we get f"([tex]\frac{4}{\sqrt[3]{5} }[/tex]) >0 which proves that the point is local minimum.

Hence these are the dimensions of crate that minimizes the cost of material.

The dimensions that minimize the total cost of making the surface materials are [tex]2.3ft \text{ by } 2.3ft \text{ by }2.9ft[/tex]

[tex]T=\text{Total cost of materials}\\m_b=\text{unit cost of materials used to construct the base}\\m_t=\text{unit cost of materials used to construct the top}\\m_s=\text{unit cost of materials used to construct the sides}[/tex]

from the question, the crate has a square base and the volume is [tex]16ft^3[/tex]. So,

[tex]V=l^2h=16\\\implies h=\frac{16}{l^2}[/tex]

Also,

[tex]m_b=2m_s\\m_t=\frac{m_s}{2}[/tex]

Construct the formula for [tex]T[/tex],

[tex]T=l^2\times m_b + l^2 \times m_t+4lh\times m_s[/tex]

[tex]\text{where } l=\text{length of side of base/top}\\h=\text{height}[/tex]

Eliminating [tex]h, m_b, \text{ and }m_t[/tex], we have

[tex]T=m_s(\frac{5l^2}{2} + \frac{64}{l})[/tex]

differentiating wrt [tex]l[/tex] ([tex]m_s[/tex] is a constant), we have

[tex]\frac{dT}{dl}=m_s(5l-\frac{64}{l^2})[/tex]

The minimum total cost occurs when

[tex]m_s(5l-\frac{64}{l^2})=0[/tex]

or, when

[tex]l=\frac{4}{\sqrt[3]{5}} \approx 2.3[/tex]

(On carrying out the second derivative test, [tex]\frac{d^2T}{dl^2}>0[/tex] when [tex]l=\frac{4}{\sqrt[3]{5}}[/tex])

[tex]h=\frac{16}{l^2}=\sqrt[3]{5}^2\approx 2.9[/tex]

Therefore, the dimensions that minimize the total cost of making the surface materials are [tex]2.3ft \text{ by } 2.3ft \text{ by }2.9ft[/tex]

Another solved minimization problem can be found in the link: https://brainly.com/question/17116786

Answer:

20

Step-by-step explanation:

and negitive times a negative makes a positive

Produce means answer to multiplication

Answer:

20

Step-by-step explanation:

Answer:

The value of x - y is 14

Step-by-step explanation:

∵ x : y = 5 : 3

→ Write it in the form of the fraction

∴ [tex]\frac{x}{y}=\frac{5}{3}[/tex]

→ Multiply both sides by y

∴ [tex]\frac{x}{y}[/tex] × y = [tex]\frac{5}{3}[/tex] × y

∴ x =  [tex]\frac{5}{3}[/tex] y ⇒ (1)

∵ x + y = 56 ⇒ (2)

→ Substitute x in (2) by (1)

∴  [tex]\frac{5}{3}[/tex] y + y = 56

→ Add the like terms

∵  [tex]\frac{8}{3}[/tex] y = 56

→ Divide both sides by  [tex]\frac{8}{3}[/tex]

∴ y = 21

→ Substitute the value of y in (1) to find x

∵ x =  [tex]\frac{5}{3}[/tex] (21)

∴ x = 35

→ Now find the value of x - y

∵ x - y = 35 - 21

∴ x - y = 14

∴ The value of x - y is 14

Answer:

er

Step-by-step explanation:

Answer:

What function?

Step-by-step explanation:

Can you provide me with the problem.

Answer:

Var(z)= 8.122 if Z= z1+z2

Step-by-step explanation:

IF x and Y are independent then Cov(x,y)= 0

Var(x+y) = Var X + Var y + 2cov(x,y)

= 2.4 + 3.2 +0 = 5.6

Z1= X - E (X)/ √Var (X) and Z2 = Y - E(Y)/ √Var Y

Var (z1+z2) = Var (z1) + Var(z2) + 2Cov (z1,z2)

Cov (z1,z2)= E(z1,z2) - E(z1) E(z2)

= E(z1,z2) [as E(z1) E(z2)= 0]

= E {[ X-E(X)] [Y-E(Y)]/ √Var(X) Var(y)}

= E{[ X- 6.1][Y- 7.5]/√2.4(3.2)}

= E {xy-7.5x -6.1y +45.75]/ 2.771}

={ 6.1(7.5) - 7.5(6.1) - 6.1(7.5) + 45.75]/ 2.771}

= 0/2.771

= 0

Var (z1+z2) = Var (z1) + Var(z2)

= {E (X)/ √Var (X)} +{ Y - E(Y)/ √Var Y}

= {6.1/√2.4 } + {7.5/√3.2}

= 3.93+ 4.19

=8.122

Answer:

18 days

Step-by-step explanation:

2 1/3 just 7/3. Next, divide 42 by 7/3 which is just 42/1 times 3/7 which gives you 18.

Answer:

y=24/35

Step-by-step explanation:

Answer:

637.(7)39

Step-by-step explanation:

hope this helped

The digit in the tenths place is 7.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

The given decimal number is 637.739

Here, from left to right

6 is there in hundreds place

3 is there in tens place

7 is there in unit place

7 is there in tenths place

3 is there in hundredths place

9 is there in thousandths place

Therefore, the digit in the tenths place is 7.

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A. ​(0.714, 0.826)

Step-by-step explanation:

Given that:

The sample size n = 150

The number of success(sample proportion) x = 115

The population proportion [tex]\hat p[/tex] =  [tex]\dfrac{x}{n}[/tex]

The population proportion [tex]\hat p[/tex] = [tex]\dfrac{115}{150}[/tex]

The population proportion [tex]\hat p[/tex] = 0.767

At 90% confidence interval level;

[tex]Z_{\alpha /2} = Z_{0.05} = 1.645[/tex]

Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:

[tex]=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{.0011914}[/tex]

[tex]= 0.767 \ \pm 1.645 * 0.03452[/tex]

[tex]= 0.767 \ \pm 0.0568[/tex]

= (0.767 - 0.0568,  0.767 + 0.0568)

= (0.7102 , 0.8238 )

Due to approximation;  the confidence interval estimate for the true population proportion  is [tex]\simeq[/tex]  ​(0.714, 0.826)

Answer:

27/28 this is your answer

Answer:

3 5/8. It is 3 whole number 5 out of 8.

Step-by-step explanation:

4 - 3/8 LCM = 8

(8×4 - 1×3)/8

(32 - 3)/8 = 29/8 = 3 5/8

if I'm I think it is 37.8

Answer:

31.6

Step-by-step explanation:

Answer:

AB=33, x=6.75

Step-by-step explanation:

In order to solve this equation, draw a line with three points labeled A, B, and C. Then fill out what you know with the given information being AB=4x+6 and BC=72+15, then AC=120. then follow these steps:

Now that we know that x=6.75, follow these steps:

I hope this helps!!!

Answer:

I think The answer is C. London's favorite dog

Answer: London himself

Step-by-step explanation: I just did the assignment and read the passage and It said buck was a proxy of London himself

Answer:

the real answer is

5/3

divided by 1/3

and the quotient is

5

this is the real answer

Step-by-step explanation:

From the diagram attached, the divison operation represented by the model is [tex]\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}[/tex]

The Fraction of shaded partitions = 7(1/4) = 7/4

Half of each rectangle is circle = 1/2

Hence, the divison exemplified by the model is :

Fraction of shaded partition ÷ Circled portion

[tex]\frac{7}{4} \div \frac{1}{2}[/tex]

Take the reciprocal of 1/2 and change sign to multiplication :

[tex]\frac{7}{4} \times \frac{2}{1} = 3 \frac{1}{2}[/tex]

Therefore, the division problem represented by the model is [tex]\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}[/tex]

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Answer:

answer wil be point c because as shown

Answer:

[tex]-8x^{6}y^{9}[/tex]

Step-by-step explanation:

[tex] (-2x^2y^3)^3 = [/tex]

[tex] = (-2)^3(x^2)^3(y^3)^3 [/tex]

[tex] = -8x^{2 \times 3}y^{3 \times 3} [/tex]

[tex] = -8x^{6}y^{9} [/tex]

Answer:12 2/24

If this helped please leave a brainliest it would really help out!

Step-by-step explanation:

let, the age of Jonathan be X and Paolo be X+5,

then,

x+x+5=45

2x=40

x=20

: Therefore the age of Jonathan is 20 and Paolo is 20+5=25.

If Johnathan is 5 years younger than his brother Paolo. The sum of the brothers ages is 47. Then Johnathan is 21 years old.

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of the brothers ages is 47.

Let the age of Paolo is x

Johnathan is 5 years younger than his brother Paolo

Johnathan age=x-5

As given, sum of the brothers ages is 47.

x+x-5=47

2x-5=47

2x=47+5

2x=52

Divide both sides by 2

x=26

So the age of Paolo is 26 and Jaohnathan age is 26-5=21 years.

Hence Johnathan is 21 years old.

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Answer:

The probability of getting a cookie with no more than 3 chips is 0.0424.

Step-by-step explanation:

Let X number of chocolate chips apiece of cookie.

The mean number of chocolate chips apiece is λ = 8.

The random variable X follows a Poisson distribution with parameter λ = 8.

Compute the probability of getting a cookie with no more than 3 chips as follows:

[tex]P(X\leq 3)=\sum\limits^{3}_{x=0}{\frac{e^{-8}(8)^{x}}{x!}}[/tex]

                [tex]=0.00034+0.00268+0.01073+0.02863\\=0.04238\\\approx 0.0424[/tex]

Thus, the probability of getting a cookie with no more than 3 chips is 0.0424.

Answer:5.3 liters of oil  

Step-by-step explanation:

Answer: 2x^3 - x^2 - 29x + 28

Answer:

10

Step-by-step explanation:

I’m joking it actually 5

Answer:

5....?

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Variables:

  Associate:  a

  Partner:  p

Equations:

  400a + 1000p = 8800

  a + p = 13

Solve:

  a + p = 13

  a = 13 - p

  400a + 1000p = 8800    

  400(13 - p) + 1000p = 8800

  5200 - 400p + 1000p = 8800

  5200 + 600p = 8800

  5200 + 600p = 8800

  600p = 3600

   p = 6 partners

  a = 13 - p

  a = 13 - 6

  a = 7 associates

The required number of associates is 7 and the number of partners is 6.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of associated be x and the number of partners is y,
According to the question, x + y = 13
x = 13 - y    - - - -- - - - - (1)
400x + 1000y = 8800   - - - - - - - - - -- (2)
From equation 1
400 (13 - y) + 1000y = 8800
4(13 - y) + 10y = 88
52 - 4y  + 10y = 88
6y = 88 - 52
6y = 36
y = 6
Now, from equation 1
x = 13 - 6
x = 7

Thus, the required number of associates is 7 and the number of partners is 6.

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Answer:

A. 2, 4

B. 4, 4

C. -1, -4

Step-by-step explanation:

Because in mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection. The image of a figure by a reflection is its mirror image in the axis or plane of reflection.

So for A. just reflect the point over or "across the x-axis."

For B. just reflect the point over or "across the x-axis."

And for C. just reflect the point over or "across the y-axis."

Hope this helped!

Have a nice day!

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A. 2, 4

B. 4, 4

C. -1, -4

Answer:  Experimental studies directly influence something to see its effect, but observational studies do not directly influence the subjects.

Step-by-step explanation:

The correct option is D.

In an experimental study, you perform an experiment. In an experiment are made with the objective of validating, refute, or support a given hypothesis, where you observe "what happens" when you modify a given set of parameters. Always in an experiment, we can define the independent and dependent variables, where the independent are the ones that we can modify at will, and the dependent ones are the ones that we observe to see how they react to the changes in the independent variables.

In observational studies, the idea is not changing anything in the object of study, so the scientist in this case are only observers or spectators.

Answer:

y = -4x + 6

Step-by-step explanation:

To solve for y in terms of x, isolate y.

To get y by itself, subtract 4x from both sides:

4x + y = 6

y = -4x + 6

So, y in terms of x is y = -4x + 6

Answer:

y = − 6 + 4 x

Step-by-step explanation:

Answer:

I think the answer is 25.

Step-by-step explanation:

All you need to do is add up all the numbers

Answer:

i think its b

Step-by-step explanation:

Answer:

well if you do 2.898x10 you get 28.98.

Step-by-step explanation: