Find the value of the expression below when x = 27, y = - 4 , and z = 64 . 2 * root(3, x) - 5sqrt(x) + y ^ 2 answer

The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.

The objective function is given as f(x, y) = −2x + y − 1.

For the maximum value all the options are analysed one by one as follows,

(a) Substitute x = 3 and y = 0 in the given objective function to obtain,

-2 × 3 + 0 - 1 = -7

(b) Substitute x = -3 and y = 0 in the given objective function to obtain,

-2 × -3 + 0 - 1 = 5

(c) Substitute x = 0 and y = -3 in the given objective function to obtain,

-2 × 0 + -3 - 1 = -4

(d)  Substitute x = 0 and y = 0 in the given objective function to obtain,

-2 × 0 + 0 - 1 = -1

Hence, the maximum value of the given objective function occurs at (-3, 0).

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Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

Answer:

Simple division

Step-by-step explanation:

Take each total price and divide it by the number of nights stayed. Once you have your answer to all three, compare and the lowest number is your answer.

Answer:

2 years

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

C

Step-by-step explanation:

30 x 60 x 70 = 126,000

90 x 60 x 30 = 288,000

288,000 + 126,000 = 288,000cm^3

Answer: 288,000 [tex]cm^{3}[/tex]

Step-by-step explanation:

first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)

small prism dimensions: 60 x 30 x 40 = 72,000

large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000

add them to get 288,000 [tex]cm^{3}[/tex]

Answer:

It would be (3+2)+4=9

Step-by-step explanation:

you just have to switch to numbers.

Answer:

For the y=1/3x^2+2 the answer is For the second  one y=-1/7x^2+12 the answer is

Step-by-step explanation:

Answer:

72×5.75=414

Step-by-step explanation:

is the cost of 72 books

Answer: Length: 14; Width: 4

Step-by-step explanation:

Answer: They should be 1.5 apart from each other

Answer:

92.727

Step-by-step explanation:

The formula for compound interest is [tex]P((1+i)^{t} -1)[/tex], where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.

1000((1+0.03)³-1)

1000(1.03³-1)

1000(1.092727-1)

92.727

1000(0.092727)

Answer: $83.95

Step-by-step explanation:

Hope this helps!

Answer: 430 cm²

Step-by-step explanation:

1) Front x Back=  15 x 7  x 2= 210 (We do time 2 because there are two of the same shapes ex. there are two squares that are both 16 ft so just do 16 x 2)

2) Right x Left=  7 x 5 x 2 = 70

3) Top x Bottom=  15 x 5 x2 = 150

4) Add. 150 + 210 + 70 = 430 cm²

Hope that helped! :)

Answer:

Its the third answer choice

Step-by-step explanation:

Hope this helped!!!

The y intercept of the equation is the 70.8.

The answer would be

B. The winning men's high jump helght of the first Olympics was about 70.8 inches.

Answer:

the answer is c

Step-by-step explanation:

because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.

Answer:

13.5 answer is 13.5 and one cost 4.5

Answer:

280.56 in

Step-by-step explanation:

A square has 4 sides

67/4  = 16.75

All 4 sides are 16.75

Now, area of a square

16.75 x 16.75 = 280.5625

Round to Hundreths, 280.56.

280.6

i took the test................................

The angles inside a trapezoid add up to equal 360 degrees

X = 360-90-90-75 = 105 degrees.

Answer:

69

Step-by-step explanation:

trust me

Answer:

b. The margin of error would decrease.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.

In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.

Answer:

87

Step-by-step explanation:

just subtract 16 from 103

Answer: 1/8

Step-by-step explanation:

Concept

Reciprocal is any number that is reverse to the given value. This means the original number times the reciprocal will equal 1. For a more graphical explanation, please refer to the attachment below.

Solve

8×(x)=1

x=1/8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

Answer:

Total number of pupils who received the prize = 10

Step-by-step explanation:

Number of boys in the Math Quiz Competition = 40

Number of girls = 20

Percentage of girls who received the prize = 20%

Therefore, number of girls who received prize = 20% of 20

                                                                             = [tex]20\times \frac{20}{100}[/tex]

                                                                             = 4

Percentage of boys who received the prize = 15%

Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]

                                                                                     = 6

Total number of pupils who received the prize = 4 + 6 = 10

Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320

CANT SEE OTHER SORRY

Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont

cheat imma give ya answer to be noice

Answer:

[tex](2 {x}^{3} - 5 {x}^{2} + 8)(x + 3) \\ = (2 {x}^{4} - 5 {x}^{3} + 8x + 6 {x}^{3} - 15 {x}^{2} + 24) \\ = 2 {x}^{4} + {x}^{3} - 15 {x}^{2} + 8x + 24[/tex]

Answer:

[tex]2x^{4} + x^{3} - 15x^{2} + 8x + 24[/tex]

Step-by-step explanation:

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