Instructions: Given the following constraints, find
the maximum and minimum values for z.
x + 3y < 0
Constraints:
x - y = 0
3x - 7y < 16
Optimization Equation: z = -x + 5y
Maximum Value of z: 0
Minimum Value of z:

Answer:

x = 11√3

y = 11

Step-by-step explanation:

Let 60 be the reference angle

sin 60 = p/h

√3/2 = x/22

or, 22√3 = 2x

or, x = (22√3)/2

so, x = 11√3

now

[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]

9514 1404 393

Answer:

  K+1 ⇒ (K+1)² = K² +2K +1

Step-by-step explanation:

Your first answers are correct. The sum of K odd numbers is K². Replacing K with K+1 in this statement gives you ...

  The sum of K+1 odd numbers is (K+1)² = K² +2K +1.

Answer:

38

Step-by-step explanation:

Angle 6 is alternate to the angle that is given as 38 degrees because line L is parallel to line M so their measure is equal.

Answer:

[tex]D. \\x>\frac{3}{2}[/tex]

Step-by-step explanation:

12(1/2x - 1/3) > 8 - 2x

6x - 4 > 8 - 2x

6x + 2x - 4 > 8 - 2x + 2x

8x - 4 > 8

8x - 4 + 4 > 8 + 4

8x > 12

8x ÷ 8 > 12 ÷ 8

x  > 1.5

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°

Answer:

A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!

Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.

Step-by-step explanation:

ANSWER: [tex]\frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27} +\frac{10}{27(6x-2)}[/tex]

GOOD LUCK, I hope this helped!

Answer:

3 each

Step-by-step explanation:

36 / 12 = 3

.................................................

Given

Value of Boat = $23,000

Rate = 18% per year

Time = 5 years

y = 23000(1-18/100)⁵

= 23000(82/100)⁵

So y = 23000 (0.82)

x = 5

Answered by Gauthmath must click thanks and mark brainliest

Answer:

D.-3,-1 for 4x-2y=10 y=2x-5

Answer:

[tex]{ \tt{( - 6 {s}^{2} + 12s - 8) - (3 {s}^{2} + 8s - 6) }} \\ = { \tt{ - 9 {s}^{2} + 4s - 2 }}[/tex]

Answer:

4s - 2 - 9s²

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

= -6s²+ 12s - 8 - 3s²- 8s + 6

= 12s - 8s - 8 + 6 - 6s² -3s²

= 4s - 2 - 9s²

Answer:

Step-by-step explanation:

5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition

5a -5 -15 = 3a +6 + 4, isolate the variable on one side

5a -3a = 6 +4 +5 +15, combine like terms

2a = 30, divide both sides by 2

a= 15

Answer:

See explanation

Step-by-step explanation:

The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.

A similar question that can be found online is:

[tex]8x - 8 = 4x + 12[/tex] --- to solve for x

First, collect all like terms

[tex]8x - 4x = 8 + 12[/tex]

Distribute the expression on the left-hand side

[tex]x(8 - 4) = 8 + 12[/tex]

[tex]x * 4 = 8 + 12[/tex]

Simplify like terms

[tex]x * 4 = 20[/tex]

Divide both sides by 4

[tex]x = 5[/tex]

Answer:

A.

[tex]f(x) = \frac{ \sqrt[3]{x} }{5} \: { \bf{and}} \: g(x) = 5 {x}^{3} [/tex]

Step-by-step explanation:

Consider f(x) as the original function:

[tex]{ \tt{f(x) = \frac{ \sqrt[3]{x} }{5} }}[/tex]

Let the inverse be m:

[tex]{ \tt{g(x) = f {}^{ - 1} (x) = m}} \\ { \tt{m = \frac{ \sqrt[3]{x} }{5} }} \\ { \tt{5m = \sqrt[3]{x} }} \\ { \tt{x = 5m {}^{3} }} \\ therefore : \\ { \tt{g(x) = 5 {x}^{3} }}[/tex]

Answer:

a)

(i) 5.8 hours

(ii)  6.5 hours

(iii) 6 hours

(iv) 6 hours

b) 180 hours

Answer:

0.50 or about half a year longer.

Step-by-step explanation:

We can write an equation to model bot investments.

Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.

Recall that continuous compound is given by the equation:

[tex]A = Pe^{rt}[/tex]

Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.

Since the initial investment is $970 at a rate of 7.5%:

[tex]A = 970e^{0.075t}[/tex]

Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.

Recall that compound interest is given by the equation:

[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.

Since the initial investment is $970 at a rate of 7.375% compounded annually:

[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]

When Oliver's money doubles, he will have $1,940 afterwards. Hence:

[tex]1940= 970e^{0.075t}[/tex]

Solve for t:

[tex]\displaystyle 2 = e^{0.075t}[/tex]

Take the natural log of both sides:

[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]

Simplify:

[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]

When Carson's money doubles, he will have $1,940 afterwards. Hence:

[tex]\displaystyle 1940=970(1.07375)^t[/tex]

Solve for t:

[tex]2=(1.07375)^t[/tex]

Take the natural log of both sides:

[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]

Simplify:

[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]

Hence:

[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]

Then it will take Carson's money:

[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]

About 0.50 or half a year longer to double than Oliver's money.

Answer:

July 4th will fall on Sunday

The date, July 4 will be Friday, the correct option is D.

Calendars represent an year of 12 months, each month has 30 or 31 days, exceptionally February has 28 days.

If today is Tuesday, May 6,

Every 7th day is going to be a Tuesday .

From May 6 to July 4, the number of days is 59

Hence we divide 59 by 7. Quotient = 8 Remainder = 3

7 x 8 = 56

56 th day is Tuesday

57 th day is Wednesday

58th day vis Thursday

59th day is Friday

To know more about Calendars

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Answer:

B

Step-by-step explanation:

A=(3*sqrt(3)*a^2)/2

A=(3*sqrt(3)*400)/2=1038

Answer:

B.  1,038 in.2

Step-by-step explanation:

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

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

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

Answer:

see graph  (4,4)

to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)

do for both points , and draw al LINE between them...

repeat fore the second equation... the "solution" is where the two lines cross

Step-by-step explanation:

Answer:

√124

Step-by-step explanation:

Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2

x^2 + (√101)^2 = 15^2

x^2 = 15^2 -  (√101)^2

x^2 = 225 - 101

x^2 = 124

x = √124

The answer is √124

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

15+2i

The complex number is now in standard form

Hope this helps!

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The value of n is n= 6/( m+1).

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

n= 6/( m+1)

Learn more about expression here:

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Answer:

G = Fr² / Mm

Step-by-step explanation:

Given:

F = GMm / r²

Where,

F = Force of the two objects

M = mass of object 1

m = mass of object 2

G = constant

r = distance between the objects

Solve the formula for G.

F = GMm / r²

Cross product

F * r² = GMm

Fr² = GMm

Divide both sides by Mm

G = Fr² / Mm

Answer:    [tex]\bf 7\underline4 . 164 \approx 74[/tex]

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Keep in mind you're rounding rules!

Answer:

15 pages

Step-by-step explanation:

let x be the number of pages

7x-21 = 11x-81

4x = 60

x = 15

Answer:

El espesor de un chip es de 0.12mm

Y el diámetro de un átomo de cobre, mide aprox:

0.00000000133 m

Queremos saber cuantos átomos deberemos alinear de tal forma que la "cadena" de átomos de cobre mida 0.12mm

Eso es equivalente a ver cuantas veces entra 0.00000000133 m en 0.12mm

Primero, escribamos ambos valores en las mismas unidades, sabiendo que:

1m = 1000mm

Podemos reescribir:

0.00000000133m = 0.00000000133*(1000 mm) = 0.00000133mm

Entonces tenemos que ver cuantas veces entra 0.00000133mm en 0.12mm

Esto sera igual al cociente entre 0.12mm y  0.00000133mm, esto es:

N = (0.12mm)/(0.00000133mm) = 90,225.6

Redondeamos al próximo número entero:

N = 90,226

Esa es la cantidad de átomos que se necesitan.

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

Answer:

45

Step-by-step explanation:

9x5

Answer:

Formula of a triangle:

B(base)H(height) x 1/2

Area of triangle:

8(base) x 13(height) x 1/2(basically just dividing by 2) = 52(area of triangle)

Now we multiply by the actual height of the whole thing

52(area of triangle) x 11(height) = 572 cm3 is your answer.

Answer:

area of base= B=1/2 bh

=1/2×8×13

=52

height of prism=11

volume of prim= Bh

=52(11)

=572 cm³

OAmalOHopeO