Which is the graph of g(x) = (0.5)x + 3 – 4? On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, negative 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at (0, 3). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at (0, 12).

Answer:

The concert starts at 7:45 pm and ended at 1:35 am which mean the concert going on 5 hours and 50 minutes.

Answer:

See picture attached

Step-by-step explanation:

Answer:

7.8 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 48 = x/7

7 tan 48 = x

7.774287604 = x

To the nearest tenth

7.8 =x

Answer:

z(max) = 650 $

x₁ = 10 units

x₂ = 15 units

Step-by-step explanation:

That is a linear programming problem, we will use a simplex method to solve it

Formulation:

Let´s call  x₁  number of chairs   and x₂ number of tables then :

Item              (in hours)     cutting       assembly      finishing        Profit ($)

Chairs (x₁)                              1                   2                     1                      20

Tables (x₂)                              2                   1                      1                      30

Availability                           40                 42                   25

Objective Function

z  =  20*x₁   +  30x₂   ( to maximize) subject to:

x₁  +  2x₂   ≤  40

2x₁  + x₂    ≤  42

x₁ + x₂     ≤    25

x₁  ,   x₂  >= 0

Using excel or any other software we find:

z(max) = 650

x₁ = 10

x₂ = 15

The chairs and tables manufactured by the factory is an illustration of linear programming, where the maximum revenue is 674

Let x represent chairs, and y represent tables

So, the given parameters are:

Cutting:

So, the constraint is:

[tex]\mathbf{x + 2y \le 40}[/tex]

Assembly:

So, the constraint is:

[tex]\mathbf{2x + y \le 42}[/tex]

Finishing:

So, the constraint is:

[tex]\mathbf{x + y \le 25}[/tex]

The unit profit on the items are:

So, the objective function to maximize is:

[tex]\mathbf{Max\ z = 20x + 30y}[/tex]

And the constraints are:

[tex]\mathbf{x + 2y \le 40}[/tex]

[tex]\mathbf{2x + y \le 42}[/tex]

[tex]\mathbf{x + y \le 25}[/tex]

[tex]\mathbf{x,y \ge 0}[/tex]

Using graphical method (see attachment for graph), we have the following feasible points:

[tex]\mathbf{(x,y) = \{(10,15),\ (17,8),\ (14.67, 12.67)\}}[/tex]

Calculate the objective function using the feasible points.

[tex]\mathbf{z = 20 \times 10 + 30 \times 15}[/tex]

[tex]\mathbf{z = 650}[/tex]

[tex]\mathbf{z = 20 \times 17 + 30 \times 8}[/tex]

[tex]\mathbf{z = 580}[/tex]

[tex]\mathbf{z = 20 \times 14.67+ 30 \times 12.67}[/tex]

[tex]\mathbf{z = 673.5}[/tex]

Approximate

[tex]\mathbf{z = 674}[/tex]

Hence, the maximum revenue is 674

Read more about linear programming at:

https://brainly.com/question/14225202

Answer:

4

Step-by-step explanation:

Answer:

1/8 < 1/6

Step-by-step explanation:

The top is divided into 8 and 1 part is shaded so 1/8

The bottom is divided into 6 and 1 part is shaded so 1/6

Comparing

1/8 < 1/6

Answer:

25

Step-by-step explanation:

Let's break this down step by step:

"2 digit positive odd integers greater than 50"

So we start at 50

Don't exceed 99 since 2-digit limit

Any 2-digit integer greater than 50 will be positive (So that's a redundant statement)

Well...we know that from 50-99, is 50 integers counting by ones.

We know that half will be even and half will be odd.

With this we can say 50/2 == 25

Hence, there are 25 2 digit positive odd integers greater than 50.

Cheers.

Answer:

63

Step-by-step explanation:

Given that;

The bag has two red marbles,  n(red) =2

three green ones marbles,  n(green) = 3

one lavender one marbles,  n(lavender) = 1

two yellows marbles,            n(yellow ) = 2

two orange marbles.              n(orange) = 2

number of non green marbles = 2+1+2+2 = 7

The objective is to find out how many sets of four marbles include exactly two green marbles

Since sets of four marbles contain exactly two green marbles, then N(select 2 from 3 marbles and 2 from 7 marbles)

= [tex]^3C_2 \times ^{7}C _2[/tex]

= [tex]\dfrac{3!}{2!(3-2)!} \times \dfrac{7!}{2!(7-2)!}[/tex]

= [tex]\dfrac{3*2!}{2!} \times \dfrac{7*6*5!}{2!(5)!}[/tex]

=  [tex]3 \times 7\times 3[/tex]

= 63

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

Comment on the geometry

There are three "geometric mean" relationships that apply to this geometry.

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

__

The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

Answer:

[tex]\boxed{\sf \ \ x = 9, \ y = -5, \ z = 5 \ \ }[/tex]

Step-by-step explanation:

Hello,

   (1) 2x + 4y + z = 3

   (2) x - 2y - 3z = 4

   (3) x + y - z = -1

From (3) we can write z = x + y + 1 and we replace in (1)

2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2

   (1') 3x + 5y = 2

and we replace in (2)

x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7

   (2') -2x - 5y = 7

(1') + (2') gives

3x - 2x + 5y - 5y = 2 + 7 = 9

x = 9

we replace in (1')

3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5

y = -5

and then in (3)

9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5

z = 5

hope this helps

Answer:

work is shown and pictured

Answer:

The graphs for the lines of the costs are in the attachment. For this answer you have to first determine the equations for each cost. Since Hammy's Froyo charges $2.40 for the container and $.40 for each ounce, the equation would be y=.40x+2.40. For Yogurt Palace, which charges $0.80 for each ounce, the equation would be y=.80x.

Answer:

13

Step-by-step explanation:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

Answer:

C = 31.4 cm

Step-by-step explanation:

C = pi * d where d is the diameter

C = 3.14 * 10

C = 31.4 cm

Circumference = pi x diameter

                         = 3.14 x 10

                         = 31.4 cm

The answer is D. 31.4 cm.

Answer:

Step-by-step explanation:

From 6 to 9 is 3 units, the horizontal distance between C and D.  From 4 to 5 is 1 unit, the vertical distance between C and D.

Using the Pythagorean Theorem (or the closely related distance formula), we find the distance between C and D as follows:

distance between C and D:   sqrt(3^2 + 1^2) = sqrt(10)

Answer:

5/16

Step-by-step explanation:

P(tails) = 1/2

P(>3) = 5/8

P(tails AND >3) = 1/2 × 5/8 = 5/16

Answer:

33333 x 166667 = 5555511111

I think that is the answer you wanted

Step-by-step explanation:

      166667

     x 33333

5555511111

Answer:

65%

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

Image is attached.

Answer:

Below

Step-by-step explanation:

Using the proprtionality relation:

● 8/10 =5/x

● (4*2)/(5*2) = 5/x

Simplify using 2

● 4/5 = 5/x

Multiply both sides by 5

● (4/5)*5 = (5/x)*5

● 4 = 25/x

Switch x and 4

● x= 25/4

■■■■■■■■■■■■■■■■■■■■■■■■■

Again use the proportionality relation but this time with y.

● 8/10 =7/y

8/10 = 4/5

● 4/5 = 7/y

Multiply both sides by 5

● (4/5)*5 =(7/y)*5

● 4 = 35/y

Switch 4 and y

● y = 35/4

Answer:

  C.  10

Step-by-step explanation:

The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.

Answer:

Hello! The answer will be below!

Step-by-step explanation:

The answer is 60, steps will be below....

Steps:

6 divided by 10

=0.6

And than we do (0.6 x 100)%

Which will give us 60%

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Step-by-step explanation:

here, the given point is (-7,-3)

now, by the formula,

p(x,y)= p-1 (-y+a+b,x-a+b) ( p-1 is p das)

p(-5,3)= p-1 (-13,-1) is answer.

hope it helps..

Answer:

11 < √137 < 12

Step-by-step explanation:

the closest squares are 121 and 144; 11² and 12²

Answer:

  C. g(-13) = 20

Step-by-step explanation:

Let's check the offered statements:

  A. g(0) = 2 . . . . . . doesn't match g(0) = -2

  B. g(7) = -1 . . . . . . 7 is not in the domain of g

  C. g(-13) = 20 . . . could be true

  D. g(-4) = -11 . . . . -11 is not in the range of g

Answer:

The geometric mean of the measures of the line segments AD and DC is  60/13

Step-by-step explanation:

Geometric mean: BD² = AD×DC

BD = √(AD×DC)

hypotenuse/leg = leg/part

ΔADB: AC/12 = 12/AD

AC×AD = 12×12 = 144

AD = 144/AC

ΔBDC: AC/5 = 5/DC

AC×DC = 5×5 = 25

DC = 25/AC

BD = √[(144/AC)(25/AC)]

BD = (12×5)/AC

BD= 60/AC

Apply Pythagoras theorem in ΔABC

AC² = 12² + 5²

AC² = 144+ 25 = 169

AC = √169 = 13

BD = 60/13

The geometric mean of the measures of the line segments AD and DC is BD = 60/13

Answer:

B. 7.35 inches

Step-by-step explanation:

In the triangle:

Now we know that:

[tex]\angle A+\angle B+\angle C=180^\circ$ (Sum of angles in a \triangle)\\63^\circ+47^\circ+\angle C=180^\circ\\\angle C=180^\circ-(63^\circ+47^\circ)\\\angle C=70^\circ[/tex]

Using the Law of Sines

[tex]\dfrac{a}{\sin A} =\dfrac{c}{\sin C}\\\\\dfrac{a}{\sin 63^\circ} =\dfrac{7.75}{\sin 70^\circ} \\\\a=\dfrac{7.75}{\sin 70^\circ} \times \sin 63^\circ\\\\a=7.35$ inches (to the nearest hundredth of an inch)[/tex]

Answer:

B.  7.35 inches

Step-by-step explanation:

just use the law of sines

Let a be the number in the 10s place and b in the 1s place. Then the original two-digit number is 10a + b.

The sum of the digits is 5:

a + b = 5

Subtract 9 from the original number, and we get the same number with its digits reversed:

(10a + b) - 9 = 10b + a

Simplifying this equation gives

9a - 9b = 9

or

a - b = 1

Add this to the first equation above:

(a + b) + (a - b) = 5 + 1

2a = 6

a = 3

Then

3 - b = 1

b = 2

So the original number is 32. Just to check, we have 3 + 2 = 5, and 32 - 9 = 23.

Answer: Null Hypothesis [tex]H_{0}[/tex]: p = 0.18

              Alternative Hypothesis [tex]H_{a}[/tex]: p < 0.18

Step-by-step explanation: When doing an experiment, first define the hypotheses you want to test. These hypotheses are Null Hypothesis and Alternative Hypothesis

Null Hypothesis is a general assumption and discloses that there is no relationship between the conditions under consideration. It is the hypothesis the researcher is trying to disprove. It is denoted by the symbol [tex]H_{0}[/tex].

For the college graduate curiosity, the hypothesis the graduate is trying to disprove is that the proportion of students who have loan debt after 20 years of graduation is 18%. Then, Null Hypothesis is [tex]H_{0}[/tex]: p = 0.18

Alternative Hypothesis is the a statement describing a relationship between the collected data. It is what researches try to prove and the results are observations of real causes. It is denoted by the symbol [tex]H_{a}[/tex].

For the graduate study, the alternative is that the proportion is less tahn 18% or 0.18. Then, Alternative Hypothesis: [tex]H_{a}[/tex]: p < 0.18

Answer:

they represent the same line

Step-by-step explanation:

i went to desmos graphing calculator and put x+3y=5 in the first spot then i put 4x+12y=20 below that and it showed me what the lines looked like

Both the equation represent the same line

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x + 3y = 5

4x + 12y = 20

Now , the equation 4x + 12y = 20 can be simplified as

4x + 12y = 20

Divide by 4 on both sides ,

x + 3y = 5

Therefore , x + 3y = 5 is the same equation

Hence , both the equation represent the same line

To learn more about equations click :

https://brainly.com/question/10413253

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Hi there! :)

Answer:

Given the information, we can write an equation in slope-intercept form

(y = mx + b) to graph the line:

Plug in the slope for 'm', the y-coordinate of the point given for 'y', and the

x-coordinate given for 'x':

-4 = -2/3(-7) + b

-4 = 14/3 + b

Solve for b:

-12/3 = 14/3 + b

-12/3 - 14/3 = b

-26/3 = b

Therefore, the equation of the line is y = -2/3x - 26/3 (Graphed below)

Some points on the line include:

(-7, -4)

(-4, -6)

(0, -26/3)

(2, -10)

(5, -12)