Find the minimum and maximum values of the objective function z=3x+5y

Answer:

The graph with coordinates x6,y8

Step-by-step explanation:

[tex]N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}[/tex]

Answer:

140

Step-by-step explanation:

Let's call the red and blue marbles 2x and 5x. We know that 5x = 2x + 60, so x = 20. The sum of all marbles in the bag is 2x + 5x = 7x which is 7 * 20 = 140 marbles. Hope this helps!

Answer:

84 in all.

Step-by-step explanation:

if there are 2 red marbles to every 5 marble than 60 / 5 = 12, 12 x 2 = 24 + 60 = 84.

Answer:

2/8 or 1/4

Step-by-step explanation:

there are two blues

and there are 8 in total

so its 2/8

Answer:

1/4 = 25% chance.

Step-by-step explanation:

The probability of an event is equal to the amount of favorable outcomes divided by the total amount of outcomes.

There are 2 favorable outcomes (spinning blue). There are a total of 8 locations where the spinner can land.

We can say that 2/8 = 1/4 = 25% chance of spinning blue.

I hope this helps!

Answer:

Step-by-step explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

__

B. Diagonals of a parallelogram cross at their midpoints, so ...

  9x +3 = 10x -2

  5 = x . . . . . . . . add 2-9x to both sides

__

C. The longer side is 12x = 12(5) = 60 . . . . units

Answer:

( x = 17° )

Step-by-step explanation:

Consider the following steps;

[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]

Solution ; ( x = 17° )

Answer:

1false

2true

Its me, hope from the day we said we would text at 10am remember lollll that person so HI i have a lot of accounts and the other got banned for no reason

Answer:

C

-9,-8 and 2,0

Step-by-step explanation

edge 2021

Answer:

c . Quadratic binomial

Step-by-step explanation:

a qudratic expression is always in form of ax²+bx + c while a quadratic trinomial is in the form of ax³+bx²+cx+d .

I hope it helps

Answer:

c.) quadratic binomial

Step-by-step explanation:

Quadratic equation:

ax² + bx + c

The polynomial is in this form and like all quadratics forms a parabola, a u-shape, when graphed. Therefore, it is a quadratic equation.

Binomial = an expression with two terms

This polynomial has three terms: x², and 5x, making it a quadratic binomial.

Step-by-step explanation:

I'm not sure what the square root method is, but I'm assuming that you factor.

This is how I would solve it:

[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]

Since time can't be negative, you rule out the -3/2.

Answer:

[tex]t = \frac{3}{2}[/tex]

Answer:

Volume, [tex]V= 75.35\ \text{feet}^3[/tex]

Step-by-step explanation:

We have,

Area of the base of of a pyramid with a square base is 12.7 ft

Height of the pyramid is 17.8 ft

It is required to find the volume of of a pyramid with a square base.

The formula used to find the volume of a pyramid with a square base is given by :

[tex]V=\dfrac{1}{3}Ah[/tex]

Plugging all the values in above formula

[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]

So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].

Answer: 75.4 ft^3 when rounded

Step-by-step explanation:

Volume of Pyramid V=1/3BH

Area of base= 12.7

h=17.8

V=1/3 (12.7)(17.8)

V=75.353333

V=75.4 ft^3

Answer:

g=1960

hope it helped

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

17 units

Step-by-step explanation:

The midsegment of a triangle theorem states that:

The midsegment is 1/2 of it's parallel side.

So,

6x + 5 = 1/2(4x + 26)

6x + 5 = 2x + 13

6x - 2x + 5 = 13

4x + 5 = 13

4x = 13 - 5

4x = 8

x = 8 ÷ 4

x = 2

Substitute x to the midsegment.

6x + 5

6(2) + 5

12 + 5

17

Hello

Here is the answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.  It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please mark

Thanks

Jake

Answer:

c

Step-by-step explanation:

you know what output you get from the input.

For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.

Even though there are two inputs for one output, it is still a function.

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

If there are two outputs for one input, it is not a function.

For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.

//// hope that this helps you and have a great day////

Answer:

C

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

Answer:

B. (-3, 2)

Step-by-step explanation:

The solution is given by the coordinates of the point where the lines intersect.

From the graph we see that it is  the point where x = -3 and y = 2.

Answer:

Relative frequency for guest who will win the prize:

Relative frequency = 50%

Step-by-step explanation:

Total No. of guest = 500

No. of Guests with even-numbered tickets:

Ticket NO. 2 = 42

Ticket NO. 4 = 56

Ticket NO. 6 = 43

Ticket NO. 8 = 41

Ticket NO. 10 = 68

Total No. of Guest with even-numbered ticket = 42+56+43+41+68

Total No. of Guest with even-numbered ticket = 250

So.

Relative frequency = (frequency of desirable event/ total frequency) · 100

Relative frequency = (250/500)· 100

Relative frequency = 50%

Answer:

B is the awsnsr to your question

Step-by-step explanation:

Answer:

B) –0.78.

Step-by-step explanation:

Answer:

x = -2 ±sqrt( 10)

Step-by-step explanation:

x^2 + 4x = 6

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+   )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)

Answer:

x= +/- \sqrt(10) - 2

Step-by-step explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

Answer:

2,400cm²

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID = L×B× H

WHERE L is LENGTH =20cm

B=15cm

H= 8cm

:• VOLUME=20cm ×15cm ×8cm

=2,400cm²

Answer:

Volume = 2400 cm³

Step-by-step explanation:

Volume of Cuboid = [tex]Length*Width*Height[/tex]

Where L = 20 cm, W = 8 cm and H = 15 cm

Volume = [tex]20*8*15[/tex]

Volume = 2400 cm³

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]

                             =  [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]

                             =  0.0155

Answer:

Option A.

Step-by-step explanation:

The given question is incomplete. Let as consider we need to find [tex](g\circ h)(5)[/tex]

The given functions are  

[tex]h(x)=x-7[/tex]

[tex]g(x)=x^2[/tex]

We need to find the expression for [tex](g\circ h)(5)[/tex].

[tex](g\circ h)(5)=g(h(5))[/tex]

[tex](g\circ h)(5)=g(5-7)[/tex]         [tex][\because h(x)=x-7][/tex]

[tex](g\circ h)(5)=(5-7)^2[/tex]         [tex][\because g(x)=x^2][/tex]

Therefore, the correct option is A.

Answer:

-208

Step-by-step explanation:

-162 - 46 = -208

Answer:

-208°F

Step-by-step explanation:

-162°F - 46°F = -208°F

Answer:

Step-by-step explanation:

3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

Answer: It is A. 4

Step-by-step explanation:3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

(Happy to Help!) (0.<)

Answer:

see below

Step-by-step explanation:

Let C = chess

S = swimming

F = football

x = football only

y = all three sports

z = swimming only

x+y+ 8+12 = 32  those who like football

y+z+8+16 = 40  those who like swimming

7+x+8+y+12+10+16+z = 72  all children

Simplifying these equations

x+y = 32-20 = 12

y+z = 40-24 = 16

x+y +z = 72-53 = 19

Substituting x+y = 12 into the last equation

12 +z = 19

z = 7

y+z = 16  

y = 9

x+y =12

x =5

Swimming  only is 7

Football only is 5

Swimming and football y+8 = 9+8 = 17

P( chess or swimming but not football) = (10+16+z)/ total

                                                                 =(10+16+7)/ total

                                                                 =33/72

P( no  active sport) = chess only or no sport/total

                                 =(10+7)/72

Answer:

C +-4

Step-by-step explanation:

The right answer is 113.04cm^3

please see the attached picture for full solution

hope it helps

good luck on your assignment

Answer:

113.04

Step-by-step explanation:

→The formula for the volume of a sphere is:

[tex]V = \frac{4}{3} (3.14)r^3[/tex]

→The "r," is the radius, which is already given as 3.

[tex]V = \frac{4}{3} (3.14)3^3[/tex]

V = 113.04

Answer:

the maximum area that can be of a circle that has been cut out of rectangular board can be 70 in zero