The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=34(3)−x6, find the revenue if 6 units are sold. Round to two decimal places.

Answer:

The sum of the arithmetic progression is 51

The sum of the remaining terms is 28

Step-by-step explanation:

Sum of terms of an arithmetic progression

Being a1 the first term of an arithmetic progression, an its last term, and n the number of terms, the sum of all terms is calculated as:

[tex]\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n[/tex]

We are given the progression:

1,4,7,10,13,16

We need to check if the list of numbers is a progression. The difference between consecutive terms must be equivalent.

Since:

4 - 1 = 3

7 - 4 = 3

10 - 7 = 3

And the rest of the differences also result in 3, the series of numbers has a common difference of 3.

The progression has the following parameters:

a1=1, an=16, n=6

Let's find the sum:

[tex]\displaystyle S_6=\frac{1+16}{2}\cdot 6[/tex]

[tex]\displaystyle S_6=\frac{17}{2}\cdot 6[/tex]

[tex]S_6=51[/tex]

The sum of the arithmetic progression is 51

If we removed the terms 7 and 16, the new sum is:

51 - 7 - 16 = 28

The sum of the remaining terms is 28

Answer:

45

Step-by-step explanation:

6^2 = 6*6 =36

3^2 = 3*3 = 9

36+9 = 45

Answer:45

Step-by-step explanation:6x6= 36 3x3=9 9+36=45

Answer:

x = 2

Explanation:

[tex]\frac{3x-1}{5} =\frac{x+1}{3}[/tex]

First, make sure they both have common denominators ( 15 )

5 × 3 = 15 and 3 × 5 = 15

Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.

[tex]\frac{3*(3x-1)}{3*5}[/tex] = [tex]\frac{3(3x-1)}{15}[/tex]

Next, multiply the numerator and denominator of the second fraction by 5.

[tex]\frac{5*(x+1)}{5*3}[/tex] = [tex]\frac{5(x+1)}{15}[/tex]

Now we have: [tex]\frac{3(3x-1)}{15} =\frac{5(x+1)}{15}[/tex]

Use distributive property on the numerators of both fractions.

[tex]\frac{9x-3}{15} =\frac{5x+5}{15}[/tex]

Since the denominators are equal we can ignore them for now and find x.

9x - 3 = 5x + 5

We need to move like terms to different sides to isolate x. First, we can subtract 5x from both sides.

9x - 5x - 3 = 5x - 5x +5

4x - 3 = 5

Then, we can add 3 to both sides to cancel out the -3.

4x - 3 + 3 = 5 + 3

4x = 8

Finally, to find x we divide both sides by 4.

4x ÷ 4 = 8 ÷ 4

x = 2

Answer:

70cm

Step-by-step explanation:

Given height of the lamp;

    Height of lamp = 28inches

 Unknown:

The height in cm;

Solution:

       1 inch = 2.5cm

So;

          28 inches will be 28  x 2.5  = 70cm

Answer:

Step-by-step explanation:

14628

Answer:27

Step-by-step explanation:

Answer:

What is the situation?

Step-by-step explanation:

Answer:

What do you need my guy

Step-by-step explanation:

Talk in the chat below.

Answer:

$212.16

Step-by-step explanation:

Simple Multiplication

try it

Answer:

First blank would be 25, Second blank would be 75.

Step-by-step explanation:

In order to figure out the blanks, we must figure out the original function first.

How do we do that?

-> we put in the points that we already have- in to equation:

    y = ax + b

If we put the 6, 10 in to x, y , we would get :

10 = 6a + b

If we put the 12, 20 in to x, y , we would get :

20 = 12a + b

because these share the "+b" they can be subtracted.

           10   = 6a + b

-           20 = 12a + b

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

and this would be :

-10 = -6a, a = 5/3.

we can partly complete the equation.

y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.

The full equation have : y = 5/3x

now, put 15 and 45 in to the x and see what you get!

y=25, 75

Have a nice day :)

Answer:

obtuse

Step-by-step explanation:

as one angle is bigger than 90°

Answer:115.6

Step-by-step explanation:

Answer:

n=-6/4

Step-by-step explanation:

4n+40=34

-40. -40

4n=-6

divide by sides by 4

so n equals -6/4

Answer:

9. A=65°

B= 115° C= 65° D= 115° E= 65° F= 25°

10. A=70°

B= 110° C= 70° D= 110° E= 70° F= 20°

11. F=22°

A= 68° B= 112° C= 68° D= 112° E= 68°

12. D=116°

A= 64° B= 116° C= 64° E= 64° F= 26°

I hope this helps, have a nice day

Answer: It could be B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the rectangular box = x²h

Surface area  S = x²+4xh

x is the side length of the square base

h is the height

Given

Surface area = 1200cm²

Substitute into the formula S = x²+4xh

1200 = x²+4xh

From V = x²h

h= V/x²

1200 = x² + 4x (V/x² )

1200 = x² + 4V/x

1200x = x³ + 4V

1200x - x³ = 4V

V = 1200x/4- x³/4

V = 300x - x³/4

To maximize the volume, dV/dx = 0

dV/dx = 300 -3x²/4

0 =  300 -3x²/4

0 = 1200 - 3x²

3x² = 1200

x² = 400

x = 20cm

Since 1200 = x²+4xh

1200 = 400+80h

80h = 1200-400

80h = 800

h = 10cm

Find the volume;

Volume = 400 * 10 Volume -= 4000

Hence the maximum volume of the box in cubic cm is 4000 cm³

Answer:

255,777

Step-by-step explanation:

290,500 - 34,723 = 255,777

Answer:

1) y = $10 + $2x

2) independent variable is the number of rides (x)

3) dependent variable in this equation is the total cost (y)

Step-by-step explanation:

In this scenario, we have two fixed values and two variables which would be the number of rides (x) and the total cost (y). Therefore, since the entrance fee is a fixed value it is added to the cost of each ride which is multiplied by the number of rides represented by the variable (x).

y = $10 + $2x

In this equation, the independent variable is the number of rides (x) because it is a separate value from the equation and does not depend on any other value. The dependent variable in this equation is the total cost (y) which depends on the number of rides that the individual goes on in order to have its own value.

Answer:

Dividing two negative values results in a positive value. Reorder −10 - 10 and 5x2 5 x 2 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .

Step-by-step explanation:

Answer:

1/2x + y = 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form:   y = -1/2x + 4

Step 2: Find Standard Form

And we have our final answer!

Answer:

1/2x+y=4

Step-by-step explanation:

Standard form for linear equation is Ax+By=C

Answer:

21 , 49

Step-by-step explanation:

Answer:

28.27

Step-by-step explanation:

Answer:

(sin(t)+cos(t))^2=sin^2(t)+cos^2(t)+2sin(t)cos(t)=1+sin(2t)\\


Step-by-step explanation:

hopefully this helps!

Answer:

B

Step-by-step explanation:

I used substitution to solve this system. I'll run through all of my steps below:

[tex]4x+7y=85\\x=2y-5[/tex]

I'm going to replace the 'x' values in the first equation with the entire second equation.

[tex]4(2y-5)+7y=85[/tex]

[tex]8y-20+7y=85\\15y-20=85\\15y=105\\y=7[/tex]

Now that we know what y equals, we can go back and solve for x.

[tex]x=2(7)-5\\x=14-5\\x=9[/tex]

Hope this helps!

Answer:

Need more info

Step-by-step explanation

Answer:

p = -2/3

Hope this helps

Answer:

The answer is "98".

Step-by-step explanation:

In this question, the chart is missing, and by searching the question we find the correct choice, which is defined in the answer part.

Answer:

The answer is "98".

Step-by-step explanation:

In this question, the chart is missing, and by searching the question we find the correct choice, which is defined in the answer part.

Answer:

Factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]

Step-by-step explanation:

We need to factor the expression using the GCF : [tex]76d-24[/tex]

GCF stands for greatest common divisor.

We need to find the greatest number that is divisible by both terms.

The greatest number that is divisible by both terms is 4

So, Now factoring the term:

[tex]76d-24\\=4(19d-6)[/tex]

So, factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]

Answer:

6

Step-by-step explanation:

if you do the ratio 9/12 and 3/x and cross multiply, x=6... I believe

Because