The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.

Find the revenue function R when x energy drinks are sold.

Answer:

14

A = base × height = 2 × 7 = 14

Answer:14

Step-by-step explanation:

Answer:

f(f¹(14)) = 134

Step-by-step explanation:

Given :

Find the value of f(14) :

Therefore, f(f¹(14)) = f(44).

Solving :

The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.

A perpendicular bisector of a line segment is a line segment that is perpendicular to and passes through the middle of the line segment (left figure). A line segment's perpendicular bisector can be drawn using a compass by drawing circles centred at and with radius and connecting their two intersections.

The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.

Learn more about Perpendicular Bisector:

https://brainly.com/question/24753075

#SPJ1

Answer:

119.32

Step-by-step explanation:

[tex]A = 2 * 3.14 * 19 = 119.32[/tex]

Answer:

244.92 or A

Step-by-step explanation:

r=39, so we can then find the diameter.

39*2= 78 (the diameter)

c=(pi)(d)

c=3.14*78

c= 244.92

Answer:

w represents the width

w + 2 represents the length

2(w + w +2) = 76     formula for perimeter

w + w + 2 = 38        divide both sides by 2

2w + 2 = 38             combine like terms

2w = 36                    subtract 2 from both sides

w = 18                      divide both sides by 2

Answer:

Tom: £166

Ben: £581

Step-by-step explanation:

     In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).

£747 / 9 = £83

     For Tom:

£83 * 2 = £166

     For Ben:

£83 * 7 = £581

Checking our work:

      Since the decimals are the same, this means the ratios are equal.

2/7 = 0.2857

166/581 = 0.2857

The conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

The conditional probability P(A|B) is calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula and the data in the complete question (see attachment), we have the following computations:

P(D | F) = 6/34

P(E | D) = 7/25

P(D | E) = 7/18

P(F | E) = 8/18

P(E | F) = 8/34

By comparing the above computations with the options, the conditional probabilities that are correct are P(D | F) =  6/34, P(E | D) = 7/25 and P(F | E) = 8/18

Read more about conditional probabilities at:

https://brainly.com/question/10739997

#SPJ4

Answer:

A, B, D

Step-by-step explanation:

yw :)

Answer:

3 inches

Step-by-step explanation:

48 - 45 = 3

To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

[tex]35+(16x-8)+(2x+9) = 180[/tex]

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]

Let's substitute the value of x into m<FED

[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

Learn more on sum of angles in a triangle here;

https://brainly.com/question/20377858

#SPJ1

Answer:

The answer is x = 10.

Step-by-step explanation:

Two options:

1. Looking at the image it looks like a parallelogram. So, most side lengths are equal to each other or are the same.

2. We can use the Pythagorean Theorem to solve for x.

Answer: Sugar = 3 cartons, Flour = 5 cartons, Rice = 6 cartons

Step-by-step explanation:

Sugar = 10 packets/carton

Flour = 6 packets/carton

Rice = 5 packets/carton

10, 20 30... sugar

6, 12, 18, 24, 30... flour

5, 10, 15, 20, 25, 30... rice

30/10 = 3 cartons of sugar

30/6 = 5 cartons of flour

30/5 = 6 cartons of rice

For all the number of packets to be equal.

Answer:2/3 < 3/4

Step-by-step explanation: 3/4 is greater than 2/3.

Answer:

jump equation

bu multiplying by a conjugate

The height attained by the submarine in the sea will be 80 meters.

Height is a vertical distance travelled by any object. Here the submarine is going down in the sea from 15 meters to 95 meters below the sea.

So the height attained by the submarine will be:-

H= 95-15

H= 80 meters.

Therefore the height attained by the submarine in the sea will be 80 meters.

To know more about height follow

https://brainly.com/question/1739912

#SPJ1

Answer:

4 385 000 000 000 000 000 000 000 000 000.

Step-by-step explanation:

Wellllll.....e +30 means  10^30

The function f(x) is the linear and the function g(x) is the exponential. Then the equations are f(x) = 6x and g(x) = 3(2)ˣ.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions f(x) and g(x).

The table is shown below.

Let the function f(x) be the linear function and the function g(x) be the exponential. Then we have

Then the function f(x) will be

f(x) = mx + c

Then we have

12 = 2m + c

6 = m + c

Then we have

m = 6 and c = 0

Then the equation will be

f(x) = 6x

Then the function g(x) will be

g(x) = abˣ

Then we have

48 = ab⁴

24 = ab³

We have

a = 3 and b = 2

Then the function g(x) will be

g(x) = 3(2)ˣ

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

O h(x)=1/4

Step-by-step explanation:

Answer:

4 and one-fourth less-than or equal-to 2k

Step-by-step explanation:

4 and one-fourth is no more than 2k

i.e,4 and one-fourth can be equal or less than 2k

pls mark brainliest:)

Answer:

#3

A

#2

D

#1

B

Hope this helps

Answer:

1.) 10/16 = 5/8  

2.) 14/16 = 2 7/8

3.) 6/16 = 1 3/8

Step-by-step explanation:

Just count the lines.

Answer:50,000 x 0.04 x 20=40,000

The total saving after 20 years 50,000+40,000=90,000$

Answer:

The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.

Answer:

-20x-48

Step-by-step explanation:

7x-(15x +6)-6(7+2x)

7x-(15x+6)-(42+12x)

7x-15x-6-42-12x

(7x -15x-12x)+(-6-42)

=-20x-48

Answer:

-20x - 48

Step-by-step explanation:

7x - 3(5x  +2) - 6*(7 + 2x) = 7x  + (-3)*5x + (-3)*2  + (-6)*7 + (-6)*2x

                                        = 7x - 15x - 6 - 42 - 12x

                                        = 7x - 15x - 12x  - 6 -42  {Combine like terms}

                                        =  -20x  - 48

Answer:

B.

Step-by-step explanation:

[tex]x^2 - 16x - 64 = 0[/tex]

[tex](x-8)^2 = 128[/tex]

[tex]x = 8 + \sqrt{128}[/tex]

or

[tex]x=8-\sqrt{128}[/tex]

so x = 19.3

or x = 3.3

Considering the equation of the circle graphed on this problem, the value of y is given by:

[tex]y = -\frac{1}{4}[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the circle is centered at the origin, with radius 1, hence the equation is given by:

[tex]x^2 + y^2 = 1[/tex]

Hence, when [tex]x = -\frac{\sqrt{15}}{4}[/tex], the values of y are given by:

[tex]y^2 = 1 - x^2[/tex]

[tex]y^2 = 1 - \frac{15}{16}[/tex]

[tex]y^2 = \frac{1}{16}[/tex]

Looking at the graph, we want the negative value of y, hence:

[tex]y = -\sqrt{\frac{1}{16}}[/tex]

[tex]y = -\frac{1}{4}[/tex]

More can be learned about the equation of a circle at https://brainly.com/question/24307696

#SPJ1

Answer: its positive 1/4

Step-by-step explanation: got the question right

Answer:

The area of the lawn is 68 [tex]m^2[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                            = 14 x 10

                           = 140 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                         = [tex]\frac{1}{2}[/tex] x 3 x 8

                         = 12 [tex]m^2[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                             = [tex]\frac{1}{2}[/tex](5 + 7) 10

                              = 60 [tex]m^2[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                     = 140 - 72

                     = 68

The area of the lawn is 68 [tex]m^2[/tex].

Answer:

AOC = 124°

Step-by-step explanation:

Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;

This can be written like so:

(3x + 94) + (x + 30) + (2x - 4) = 180

This equation can be solved to find x:

6x + 120 = 180

6x = 180 - 120

6x = 60

x = 10

AOC = 3(10) + 94

= 30 + 94

= 124

Answer:

angle AOC = 124

Step-by-step explanation:

3x + 94 + x + 30 + 2x - 4 = 180 ( ^'s on a STR line)

6x = 180 - 120

6x = 60

x = 10

sub x into 3x + 94

3(10) + 94 = 124

Answer:

Note that #1 starts at #3 and #3 on this list ends at #5 on your page.