Write the standard equation of a circle with center (−1, −1) and radius 1.

ZOSP= PSQ and

ZPSQ E ZOSR

Answer:

New functinon is g(x) = (1/32)x^5

Step-by-step explanation:

If you horizontally stretch the quadratic parent function, f(x) = x^2, by a factor

of 5, the equation of the new function will be g(x) = (x/5)^2, or g(x) =  (1/32)x^5

Answer:

z (max) =  17461.54  $

x₁   =  29.23 acres

x₂  =  0

x₃  =  3.07

Step-by-step explanation: INCOMPLETE QUESTION.

As the problem statement establishes:  "Each crop requires labor, fertilizer, and insecticide"  and information about quantities and availability does not exist. To build a model and that such model would be feasible I copy from the internet the following data. We assume the problem is to maximize the number of acres to plant with a maximum of profit ( we will use as profit the numbers 550  ;  350 ; 450 for  acres of corn, peanuts, and cotton)

Then z =  550*x₁  +  350*x₂  +  450*x₃    to maximize

                                            labor (h)      fertilizer ( tn)    Insecticide (Tn)

acres of corn         (x₁)               2                     4                        3

acres of peanut     (x₂)              3                     3                        2

acres of cotton      (x₃)              2                     1                         4

Availability         acres 40       120                120                      100

Constraints:

1) Size of the farm 120 acres

x₁  +  x₂   +   x₃   ≤   40

2) labor   120 h

2*x₁  +  3*x₂  +  2*x₃    ≤   120

3) Fertilizer  120 Tn

4*x₁  +  3*x₂  +  1*x₃      ≤   120

4) Insecticide 100 Tn

3*x₁   +  2*x₂  +  4*x₃     ≤  100

The Model is:

z =  550*x₁  +  350*x₂  +  450*x₃    to maximize

Subject to:

x₁  +  x₂   +   x₃   ≤   40

2*x₁  +  3*x₂  +  2*x₃    ≤   120

4*x₁  +  3*x₂  +  1*x₃      ≤   120

3*x₁   +  2*x₂  +  4*x₃     ≤  100

x₁    ≥   0  ;   x₂   ≥   0  ;   x₃   ≥   0

After 3 iterations using an on-line solver optimal solution is:

z (max) =  17461.54  $

x₁   =  29.23 acres

x₂  =  0

x₃  =  3.07

Answer:

Step-by-step explanation:

the equation is 8 cause 10 equals 8

Answer:

Robert had 78 coins or c=78

Answer:

C = 16pi

Step-by-step explanation:

C = 2*pi*r  where r =8

C =2*pi*8

C = 16pi

Answer:

[tex]c = 16\pi[/tex]

Step-by-step explanation:

1: Substitute:

[tex]c = 2\pi \: r \\ r = 8 \\ c = 2\pi \times 8[/tex]

2: Solve the equation:

[tex]c = 2\pi \times 8[/tex]

Calculate:

[tex]c = 16\pi[/tex]

Answer:

its c

Step-by-step explanation:

9514 1404 393

Answer:

  12

Step-by-step explanation:

The square can be completed by adding and subtracting the square of half the linear term's coefficient.

  f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2

  f(x) = (x^2 -8x +16) +(28 -16)

  f(x) = (x -4)^2 +12

The minimum value of the function is 12, when the squared term is zero.

Answer:

2/52

Step-by-step explanation:

If he took one ace out of 52 cards then it would have been 4/52

but as he's taking 2 aces out of 52 cards it is 2/52

Answer:

[tex]P(AA) =\frac{1}{221}[/tex]

Step-by-step explanation:

Deck contains = 52 cards

Deck contains = 4 Aces

Probability of choosing ace first time

                                                        [tex]= \frac{4}{52}[/tex]

Probability of choosing ace again without replacement

                                                                                 [tex]=\frac{3}{51}[/tex]

Probability of 2 aces without replacement

                                                               [tex]=\frac{4}{52} \times \frac{3}{51}\\\\=\frac{1}{13} \times \frac{1}{17}\\\\=\frac{1}{221}[/tex]

Answer:

actually, the answers are "No, the slopes are not equal"

and "Yes, the slopes are negative reciprocals".

Reason: just did it!!!!

Answer:

"No, the slopes are not equal"

and "Yes, the slopes are negative reciprocals".

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=4/y

do cross multiplication

y=4*2

y=8

Step-by-step explanation:

the answer is in the image above

The volume of the original cube is 1000 cubic units.

The volume of a cube is equal to the product of length, width and height of a cube.

Let the length of side of the original cube = L

The surface area of the original cube A₁ = 6 L²

When increase the side length of a certain cube by 4

The surface area of the increased cube A₂ = 6 (L + 4)²

The surface area increases by 576

So, 6(L + 4)² - 6 L² = 576

6(L² + 16 + 8L) - 6 L² = 576

Divided by 6 both the sides,

L² + 16 + 8L - L² = 96

16 + 8L = 96

8L = 96 - 16

8L = 80

L = 80/8

L = 10

So, the length of side of the original cube = L = 10 units

The volume of the original cube = L³

The volume of the original cube = (10)³

The volume of the original cube = 1000 cubic units

Learn more about volume of cube here :

https://brainly.com/question/15420947

#SPJ5

Answer:

The answer is "Option 2".

Step-by-step explanation:

Please find the complete question in the attached file.

When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.

Answer:

Step-by-step explanation:

The importer needs to make the payment in the VND each time so the importer may enter into hedge to protect himself from the appreciation of the VND against the dollar, now if the importer enters into the forward contract of the hedge and he come across the reverse situation that means the VND is depriciating that means if the hedger would not have entered into a forward contract then they would have benefited more.

Lets convert above above rate in per VND rate to understand better.

E_USD/VND = 1/21000 = 0.000048

F_USD/VND = 0.000047

Ee_USD/VND = 0.000045

so as we can see above if we had enter into a hedge contract we have to pay the 0.000047 per VND and if we would not have enter into the contract we would have to pay the 0.000045 per VND hence cost of Hedging is 0.00002 USD per VND.

Answer:

that's my answer

Step-by-step explanation:

i hope it helps

Answer:

x = 40

3x=120

x+40 = 120

Step-by-step explanation:

The angles are vertical angles which means they are equal

3x= x+80

Subtract x from each side

3x-x =x+80-x

2x = 80

Divide by 2

2x/2 = 80/2

x = 40

3x = 3(40) =120

x+80 = 40+80 = 120

Answer:

Hello! answer: y = 60

Step-by-step explanation:

Hope that helps!

Answer:

D) 60°

Step-by-step explanation:

If you look at the triangle, you could see that all the angles and sides are congruent.  Vertical angles, or opposite angles. You could find the value of y, by looking at the other angles and sides and comparing them.

Hope this helps!

Note:

Pls notify me if my answer is incorrect, for the other users that will see this response. Thank you.

-kiniwih426

Answer:

[tex]v = \pi \: r {}^{2} \: \frac{h}{3} \: = \: 3.14 \times \: 2 {}^{2} \times \frac{9}{3} = 37.68[/tex]

Step-by-step explanation:

Answer:

Area = 96 square m

Step-by-step explanation:

[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]

Answer:

The area of parallelogram is 96 m ².

Step-by-step explanation:

According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.

Using Formula

Area of parallelogram = Base × Height

Substitute the values into this formula

Area of parallelogram = 12 m × 8 m

multiply, we get

Area of parallelogram = 96 m²

Therefore, The area of parallelogram is 96 m ².

Step-by-step explanation:

The volume of a hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

Taking differentiation,

[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]

So,

[tex]dV=2\pi r^2\times dr[/tex]

Put r = 21 m and dr = 0.03 cm = 0.0003 m

[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]

Hence, this is the required solution.

Answer:

$101

Step-by-step explanation:

Given

[tex]y = 8.50x + 33[/tex]

[tex]x \to[/tex] age above 40

Required

Insurance for 48 years old

First, we solve for x

[tex]x = 48 - 40[/tex]

[tex]x = 8[/tex]

So, we have:

[tex]y = 8.50x + 33[/tex]

[tex]y = 8.50 * 8 + 33[/tex]

[tex]y = 68 + 33[/tex]

[tex]y = 101[/tex]

Answer:

Step-by-step explanation:

tan x= opp./adj.

tan x = 12/5 so

     x = tan^-1 (12/5)

second choice

Answer:

B

Step-by-step explanation:

Solution :

Given that there is only one set which can contain all the five correct answers. While guessing that I am likely to choose only one sequence of the answers as another, then the probability of getting all the five answers correct  is given by :

Given : X [tex]\sim[/tex] binomial [tex]$\left( 5 , \frac{1}{3} \right)$[/tex]

P (X = 5)

[tex]$= \ ^5C_5\left({\frac{1}{3}\right)^5\left(\frac{2}{3}\right)^0$[/tex]

= 0.00412

Thus the probability is 0.00412

Answer:

The answer is A

Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.

Answer:

−(−4y−2+sin2(x))=0

Step-by-step explanation:

Answer:

375 divided by 3= x. 375/3= 125, the cube root is 5. X=5

Step-by-step explanation:

hope it helped

Answer:

1. 3x^3= 375  

2. =>x^3= 375/3

3. => x^3= 125

4. =>x^3=( 5)^3

5. =>x=5

Step-by-step explanation:

No explanation

Answer:

A) -14 + 2n > 18

Step-by-step explanation:

inequality represents that - 14 more than twice a number is no less than 18.

Answer:

y= -6/7

Step-by-step explanation:

.............. I did it, trust me