Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.
f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______

Answer:

the answer is 4.6

Step-by-step explanation:

the explanation is shown in the following attachment below...

hope this helps...

Answer:

mind fact sub happy wala birthday quiz frist

Answer:

Simplified expression: [tex]\frac{1}{y+8 }[/tex].

The value of y that makes the expression undefined is y=-8.

Step-by-step explanation:

[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]

= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]

(cancel out 2y³)

=[tex]\frac{1}{y+8 }[/tex]

A rational expression is undefined when the denominator (bottom number) is  zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.

Answer:

The shelf is not a right triangle

Step-by-step explanation:

Given

[tex]Sides = 14, 8, 8[/tex]

Required

Determine if it is a right triangle

To do this, we make use of Pythagoras theorem which implies that; the square of the longest side = the sum of the square of the two other sides.

So, we have:

[tex]14^2 = 8^2 + 8^2[/tex]

Evaluate all squares

[tex]196 = 64 + 64[/tex]

[tex]196 = 128[/tex]

The above is not true because:

[tex]196 \ne 128[/tex]

Hence, the shelf is not a right triangle

The equation of the quartic polynomial in standard form is,

⇒ f (x) = x⁴ - 27x² - 14x + 120

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;'

The function f(x) is a quartic function and the zeros of f(x) are -4,-3,2 and 5.

And, the leading coefficient of f(x) is 1.

Hence, We get;

The equation of the quartic polynomial in standard form is,

⇒ f (x) = 1 (x - (- 4)) (x - (- 3)) (x - 2) (x - 5)

⇒ f (x) = (x + 4) (x + 3) (x - 2) (x - 5)

⇒ f (x) = (x² + 7x + 12) (x² - 7x + 10)

⇒ f (x) = x⁴ - 7x³ + 10x² + 7x³ - 49x² + 70x + 12x² - 84x + 120

⇒ f (x) = x⁴ - 27x² - 14x + 120

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ2

Answer:

Colleen alone to clear the yard of leaves in 40 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone

To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?

Proof -

Given that the equation is -

[tex]\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40[/tex]

As time can not be negative

So,

we get

c = 40 minutes

∴ we get

Colleen alone to clear the yard of leaves in 40 minutes

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = [tex] \frac{8}{4} [/tex]

d = 2

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

Answer:

Look at the answers bolded below

Step-by-step explanation:

To get the reference angle, just subtract 115° from 180°

180 - 115 = 65

So the reference angle is 65°

I'm not sure how many coterminal angles you need, but to get them you could just add or subtract 360°.

For example, a positive coterminal angle could be:

115 + 360 = 475°

a negative coterminal angle could be:

115 - 360  = -245°

Hope this helped :)

Answer:

the answer is one!

Step-by-step explanation:

Answer:

answer: 125/24 cm3

volume= 5/3*5/2*5/4 cm3

=125/24 cm3

Answer:

yes

no

yes

no

Step-by-step explanation:

i think its right

Answer:

4.65 + □ = 7.88

Choose... Yes!

□ + 6.42 = 9.45

Choose...No

2.85 + □ = 6.08

Choose...Yes!

□ + 8.49 = 10.72

Choose...No

Step-by-step explanation:

Sorry if I'm wrong.

Answer:

f(5) = 6(5-2) = 18

Step-by-step explanation:

hope this help ~~~~~~~~------~~~~~~~~

Answer:

Step-by-step explanation:

75cm^2

a+b/2 times h = area

Answer: X=-4

Step-by-step explanation:

Should be B on Edge.

Answer: X = -4

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

(3+7)*2 = 20

Answer:

20 square inches

Step-by-step explanation:

This question is incomplete, the complete question is;

An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.

a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05

Answer:

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Step-by-step explanation:

Given the data in the question;

         Sample of tears greater than 25;

number of successive repairs X₁ = 13

number of repair n₁ = 19

proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68

q₁ = 1 -  [tex]p[/tex]₁ = 1 - 0.68 = 0.32

        Sample of tears shorter than 25;

number of successive repairs X₂ = 22

number of repair n₂ = 30

proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73

q₂ = 1 -  [tex]p[/tex]₂ = 1 - 0.73 = 0.27

so;

H₀ : There is no significant difference in the successive proportions;  [tex]p[/tex]₁ =  [tex]p[/tex]₂

Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >

Significance level ∝ = 0.05

Test Statistics

Z =  ([tex]p[/tex]₁ -

so we substitute

Z =  ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]

Z = -0.05 / √[ 0.01802 ]

Z = -0.05 / 0.1342

Z = -0.37  

P-value for the given test, p = P( Z > -0.37 )

= 1 - P( Z ≤ - 0.37 )

= 1 - 0.35569

P-value = 0.6443

Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.

Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ =  [tex]p[/tex]₂

Answer:

x = 21.6

Step-by-step explanation:

Solution by Cross Multiplication

For the equation

35=x36

The cross product is

3×36=5×x

Solving for x

x=3×365

and reducing

x=21.6

Solution by Proportion

Since the equation is an equality

If

36 ÷ 5 = 7.2

Then it is true that

x ÷ 3 = 7.2

Solving for x

x = 3 × 7.2

x = 21.6

-----------------------------------------------------------------------------------------------------------------

Answer: n = -1

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

-----------------------------------------------------------------------------------------------------------------

Answer:

n= -1

Step-by-step explanation:

Answer:

Daniel spent $ 19.

Step-by-step explanation:

Given that, while shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent, and Tracy spent $ 10, to determine how much Daniel spent the following equation must be performed:

Daniel: X

Tracy: 2X - 28 = 10

2X - 28 = 10

2X = 10 + 28

X = 38/2

X = 19

2x19 - 28 = X

38 - 28 = X

10 = X

So, Daniel spent $ 19.

Question:

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracy

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how much

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent is

Shopping While shopping for clothes, Tracy spent $28 less than 2 times what Daniel spent. Tracyspent $10. Write and solve an equation to find how much Daniel spent. Let x represent how muchDaniel spent.The equation that can be used to determine how much Daniel has spent isDaniel spent $

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Answer:

Less

Step-by-step explanation:

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

         [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

        [tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Answer:

D.

Step-by-step explanation:

Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.

Answer:

Both groups of Employees do not  travel the same distance to work hence we will reject the Null hypothesis

Step-by-step explanation:

40 Pittsburgh employees mean travel time = 370 miles

35 Cincinnati employees mean travel time = 380 miles

Both groups of Employees do not  travel the same distance to work hence we will reject the Null hypothesis

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

mean = total distance  / Number of employees

For Pittsburgh

370 = x / 40

x = 370 * 40 = 14,800 miles

For Cincinnati

380 = y / 35

y = 380 * 35 = 13,300 miles

9514 1404 393

Answer:

  23) insufficient number of corresponding sides/angles

  24) insufficient number of corresponding sides/angles

Step-by-step explanation:

In general, you need at least 3 corresponding parts to show triangle congruence. At least one of those must be a side. The attachment shows the ways triangles can be declared congruent. (HL works for right triangles, because we know the right angles are congruent to each other.)

__

23) A side is shown congruent (KL ≅ GH), and we know the vertical angles at J are congruent. However, we need another angle before we can declare the ∆GHJ congruent to anything. (One more side doesn't do it, because the two sides would not be on either side of the angle at J.)

  Reason: insufficient data

__

24) A side is shown congruent (MP ≅ QS), and an angle is shown congruent (∠M ≅ ∠Q). As in the previous problem, we need at least one more angle, or we need to know that MN ≅ QR before we can declare the triangles congruent.

  Reason: insufficient data

Answer:

After 4 years the account balance will be $ 7,948.67.

Step-by-step explanation:

Given that Abhasra invests $ 7,053 in a savings account with a fixed annual interest rate of 3% compounded quarterly, to determine what the account balance will be after 4 years, the following calculation must be performed:

7.053 x (1 + 0.03 / 4) ^ 4x4 = X

7,053 x 1.0075 ^ 16 = X

7.053 x 1.12699211 = X

7,948.67 = X

Therefore, after 4 years the account balance will be $ 7,948.67.

Answer:

20

Step-by-step explanation:

cause