Answer:
P=$-303,424Step-by-step explanation:
given data
fixed cost= $14,000
variable cost function
[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]
revenue function
[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]
a. we know that total cost C=fixed cost plus variable cost
C=14000+0.000001x^3 - 0.01x^2 + 50x
[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]
profit is given as revenue minus the total cost
P=R(x)-C (x=2600)
[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]
substitute x=2600
[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]
[tex]P=-135200+390000-(1400+17576-67600)[/tex]
[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]
) Which property is used in the following expression ? (axb) x C = ax (b x) A. Distributive Property B. Associative Property of Multiplication C. Associative Property of Addition D. Commutative Property of Addition
Answer: Associative Property of Multiplication
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
PLEASE HELP
1. Select ALL expression(s) has a value less than 4?
A) |-8|
B) |6|
C) -10
D) |-2|
Density is also the slope of the relationship between mass and volume. If the density 7.2 g /mL, what is the slope?
Answer:
The slope for the substance = 7.2 g/mL
Step-by-step explanation:
Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL
The density = Mass/Volume = 7.2 g/mL
The slope of mass volume relationship = (The change in mass)/(The equal change in volume)
Whereby the change is from the zero state, we have;
The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume
Therefore;
The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL
The value of the slope for the substance = 7.2 g/mL.
n/2 - 2 > 1
solve for N
Answer:
n>6
Step-by-step explanation
add two to both sides so far its n/2>3
multiply both sides by 2
n>6
find the y intercept
Answer:
(0,12)
Step-by-step explanation:
As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship. That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.
Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
Answer:
Step-by-step explanation:
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
-x^5+7x^3+11x^2+10x-4
What is a one-hundred sided polygon called? Why?
Hectogon
In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.
Step-by-step explanation:
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation:
:)))) solve the following by factorizing: x^2-2x=120
Answer:
Step-by-step explanation:
[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]
We have to find the factors of 120 that can either add up to or have a difference of 2.
The factors of 120 are:
[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]
The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:
[tex](x+10)(x-12)[/tex]
Which of the following angles are supplementary to _1?
Plsss Help
Please help with this question. Thank you
A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *
Answer:
B: y = 5x + 30
Step-by-step explanation:
Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?
Answer:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:
[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]
That gives
[tex]\omega_1 = \frac{100Rad}{60s}[/tex]
Which gives:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex]
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]
To get the angular velocity of the smaller gear, we use
[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]
[tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Help please and thanks
Answer:
No, it is not function. The answer is the last option in the multiple choice sequence.
Step-by-step explanation:
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
help me out!!
what is the area of the figure to the nearest hundredth
please help and thanks!
.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?
Answer:
List Price = $ 110.00
Discount Amount = $ 33.00
pls give two answers for good measure
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
Factor x^3 - 6x^2 + 11x - 6 with steps shown
Factor the expression
3−2−52+5+6=0
Please please please please please help- will give brain
Answer:
Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.
Step-by-step explanation:
Graph them onto a graphing calculator. Let me know if you need more help!
What is the solution to this equation? Show your work. -7n + 29 = -5(n - 7)
2x/25 = 0.4/0.15. Please Help.
Answer:
x = 1.335
Step-by-step explanation:
2x = 10/3.75
2x = 2.67
x = 1.335
xy+xw+2ay+2aw
factorise this sum
Answer:
(y+w)(x+2a)
Step-by-step explanation:
im built different
Answer:
(x+2a)(y+z)
Step-by-step explanation:
x(y+z)+2a(y+z)
(x+2a)(y+z)
rewrite the equation by completing the square x^2-2x+1=0
Answer:
(x-1)^2=0#
Explanation:
#x^2-2x+1=0#
Let's start by subtracting #1# from both sides so that the #x# terms are isolated:
#x^2-2x=-1#
Now, let's compute #(b/2)^2# and add it to both sides of the equation:
#(b/2)^2=(-2/2)^2=1#
#x^2-2x+1=-1+1#
Let's factorize the left hand side and simplify:
#(x-1)(x-1)=0#
#(x-1)^2=0#
If you have two points, you can only pick the first one to find the equation.
True
False
Answer:
well, it really depends but im pretty sure its false. you can start with either one and find the equation
Step-by-step explanation:
what is vertibrates
It is basically an animal which has a backbone that protects the spinal cord.
SOMEONE HELP ASAP i’ll give brainliest
Answer:
which question is it ??
How do I solve this equation and find the solutions?
Answer:
x = 10
Step-by-step explanation:
x-sqrt(2x+5) = 5
2x+5 = 25-10x+x^2
x = 10
Hope this helped!
Answer:
x = 5
Step-by-step explanation:
x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)
(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²
x² - 10x + 25 = 2x + 5
x² - 12x + 20 = 0
(x - 10)(x - 2) = 0
[tex]x_{1}[/tex] = 10
[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )
10 - [tex]\sqrt{2*10+5}[/tex] = 5
10 - 5 = 5
5 = 5