Answer:
You told me to resolve this question
solve pls brainliest
Answer:
-1, -24
Step-by-step explanation:
-9-(-8)
double negative = positive
-9+8=-1
21-45=-24
For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 130 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 60 items =
Number
Profit when producing 70 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Profit, revenue and cost are related, and can be calculated from one another.
The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600The cost function is given as:
[tex]\mathbf{C(x) =30x + 150}[/tex]
The revenue function is given as:
[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]
(a) Calculate the profit function
This is calculated using:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
So, we have:
[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]
Evaluate like terms
[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]
(b) The domain of the profit function
When profit is 0 or less, then it becomes no profit.
Hence, the domain of the profit function is x > 0
(c) The profit for 60 and 70 items
Substitute 60 and 70 for x in P(x)
[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]
[tex]\mathbf{P(60) =1650}[/tex]
The profit when producing 60 items is 1650
[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]
[tex]\mathbf{P(70) = 1500}[/tex]
The profit when producing 70 items is 1600
(d) Why producing 10 more units less profit
When a function reaches the optimal value, the value of the function begins to reduce.
This means that, producing 10 more units takes the profit function beyond its maximum point.
Read more about profit, cost and revenue at:
https://brainly.com/question/11384352
Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal places.)
The sum of the given geometric sequence to 2 dp is 936.00
To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:
[tex]S_\infty=\frac{1}{1-r}[/tex]
a is the first term
r is the common ratio
Given the sequence S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1
a = 0.936
r = 0.935/0.936 = 0.998
Substitute into the formula
[tex]S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936[/tex]
Hence the sum of the given geometric sequence to 2 dp is 936.00
Learn more here: https://brainly.com/question/24643676
What is the minimum of the sinusoidal function?
Enter your answer in the box.
Answer:
The minimum is 1
Step-by-step explanation:
1 is the lowest point of the function so that's your answer (:
The minimum of the sinusoidal function is 1.
FunctionThe function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
TrigonometryTrigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Right angle triangleIt is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
y = 2sin(x + ∅) + 3 is a function
To findThe minimum of the sinusoidal function.
How to find the minimum of the sinusoidal function?y = 2sin(x + ∅) + 3 is a function is given
For the minimum value of sin(x + ∅) = -1, then
y = 2(-1) + 3
y = -2 + 3
y = 1
Thus the minimum of the sinusoidal function is 1.
More about the function link is given below.
https://brainly.com/question/5245372
H e l p this is confusing
Answer:
The answer would be 780 miles
Step-by-step explanation:
The reason that that's the answer because since it says that they will average about 65 miles per hour on a 12 hour trip, you have to multiply 65 time 12, which is 780 miles, so
65 miles x 12 hours = 780 miles :)
Hope this helped!
12
rectia
14. Ne
10.) Lars has a current annual salary of $38,650.
If he gets a raise of $3,280, what percent is
the raise of his current annual salary? Round
to the nearest whole percent.
(1) 6%
(2) 7%
2 %
8%
(4) 9%
10%
Answer:
3,280/38650 x 100% = 8%
True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.
Find the slope of the line
A -3
B 3
C -2
D 2
Is this triangle not similar because it only has two proportional sides?
Answer:
The triangles are similar.
Step-by-step explanation:
They share a common angle (∠S) and the ratio of the two sides is the same, i.e. SP/SQ = SR/ST
these two figures are similar find the length of the side x
Answer:
6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7
Answer:
x = 6
Step-by-step explanation:
This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
Answer:
$0.46
Step-by-step explanation:
6 apples = $2.82
1 apple = 2.82 / 6
= $0.46
Please help with this other question
Answer:
pink and green same shape, but pink 7 units lower than green
Step-by-step explanation:
Both f(x) and f'(x) equations are the same except that f'(x) has the term "-7" at the end, denoting that the whole graph has been shifted down by 7 units. In other words, there is a vertical translation by -7. And since f'(x) is the pink graph, choose the option in which green and pink have the exact same shape but pink is located 7 units lower than the green.
Unitary method
A car can cover a distance of 240 km in 4 hours.
i) Find the speed of the car in km per hour.
ii) How many kilometers does it cover with the same speed in 7 hours?
(Explain with process)
Answer:
60 kilometers per hour.
420 kilometers will be covered
Step-by-step explanation:
speed = distance ÷ time.
so 60kmh = 240km divided by 4 Hours
60km = 1 Hour of distance
240km = 4 Hours of distance
Therefore 60 x 3 hour is 180km added to 240 is 420km. So in 7 hours traveling 60 kilometers per hour the will cover 420kms.
Mike burns 392 calories when he walks 4 miles how many calories does he burn when he walks 1 mile?
Answer:
Step-by-step explanation:
If mike burns 392 calories when he walks 4 miles then we just need to divide
/ =
Mike burns 98 calories when he walks 1 mile.
What is unitary method?"It is a method of finding the value of a single unit and based on that value, we can find the required value."
For given example,
Mike burns 392 calories when he walks 4 miles.
This means, 4 miles = 392 calories
By using unitary method we find the number of calories he burns when he walks 1 mile.
4 miles = 392 calories
So, 1 mile = 392/4 calories
1 mile = 98 calories
Therefore, Mike burns 98 calories when he walks 1 mile.
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
Issac wanted to make a homemade bubble solution to play with his friends. A bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap. If he had 2/3 cup of soap how many cups of warm water will he need
A- 1/12
B- 1 1/3
C- 5/13
D- 8
Answer: 8/3
You first do 4x2 than you would have to divide by 3. 4x2*3
The number of cups of warm water need for 2/3 cup of soap to make solution is [tex]5\frac{1}{3}[/tex]. Therefore, option C is the correct answer.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, a bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap.
Let the number of cups of warm water need for 2/3 cup of soap be x.
Now, the proportion is
4:1/2 :: x:2/3
1/2 x=4×2/3
x/2=8/3
x=16/3
x= [tex]5\frac{1}{3}[/tex]
Therefore, option C is the correct answer.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ6
Find the value of x
(6x-5) (6x+5)
Answer:
-5/6 or 5/6
Step-by-step explanation:
Im assuming you want this equation equal to 0, so (6x-5)(6x+5) would reduce to 36x²-25=0. I would then add 25 to the other since and get
36x²=25, divide the whole thing by 36 to single out x
x²=25/36, which would reduce to x²=5/6.
thus x could be either -5/6 or 5/6
Given that 27^1/3= 9^14 + 3^x+1
find the exact value of x
If the given equation is
[tex]27^{\frac13} = 9^{14} + 3^{x + 1}[/tex]
first simplify the left side using the fact that 27 = 3³:
[tex]27^{\frac13} = (3^3)^{\frac13} = 3^{\frac33} = 3^1 = 3[/tex]
and on the right side, 9 = 3²:
[tex]9^{14} = (3^2)^{14} = 3^{2\times14} = 3^{28}[/tex]
So we have
[tex]3 = 3^{28} + 3^{x + 1}[/tex]
Next,
[tex]3^{x+1} = 3^x \times 3^1 = 3 \times 3^x[/tex]
so that
[tex]3 = 3^{28} + 3 \cdot 3^x[/tex]
and dividing both side by 3 gives
[tex]1 = 3^{27} + 3^x[/tex]
Isolate 3ˣ :
[tex]3^x = 1 - 3^{27}[/tex]
Solve for x by taking the base-3 logarithm of both sides:
[tex]\log_3(3^x) = \log_3(1-3^{27})[/tex]
[tex]x \log_3(3) = \log_3(1-3^{27})[/tex]
[tex]\boxed{x = \log_3(1-3^{27})}[/tex]
Pre college need help
Answer:
f(-8) = 169
Step-by-step explanation:
What is 9÷8/9 in simplest form?
Answer:
10 1/8 or 81/8
Step-by-step explanation:
-36.12 divided by -5 3/5
- BRAINLIEST answerer
What is the probability of selecting a red jack from a deck of cards?
Answer:
There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.
Step-by-step explanation:
What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx
Answer:
45 5+[5(4+2)]?
Step-by-step explanation:
i hope is helped:)
What is the equation for the line in slope-intercept form?
explain plz branist is u get it right
well the answer is 107.8823529411764705 (repeating decimal)
HELP PLEASE!!!!!!!!!
Answer:
2
Step-by-step explanation:
the formula is y^2-y^1 over x^2-x^1
so the y coordinates here are 5 and -5
5--5=10
the x coordinates are -2 and 3
3--2=5
so we are left with 10/5
the answer is 2
hope this helped
PLEASE IM GONNA DIE Paloma rides a scooter. She travels 10 ft. For every 1 second.
Hannah says that Paloma’s ratio of seconds traveled to feet traveled is 10:1. Is Hannah correct? Use a model to explain your thinking
Answer:
She is incorrect; Paloma's ratio of seconds travelled to feet travelled is 1:10.
Step-by-step explanation:
Her ratio is 1:10 because the first number is the number of seconds, and the second number is the number of feet. So for every 1 second, she travels 10 feet, as indicated in the original problem.
Hope this helps.
bill planted 4 pecan trees and 2 apple trees what fraction of that is pecan
Answer:
4 / 6 or 2/3
pecan total tree
Answer:
2/3
Step-by-step explanation:
So, Bill planted -
Pecan trees = 4
Apple trees = 2
Total trees = 6
We want the fraction of Pecan trees. Thus,
4/6
Where 4 is Pecan trees, (What we want)
And 6 is the total.
4/6 in its simplest form is 2/3.
I hope it helps.
solve pls brainliest
Answer:
1. -64
2.-27
Step-by-step explanation:
Hopes this helps
:)
A boy dressed in a robot costume weighs a total of 50 7/8 lb. If the costume itself weighs 3 1/2 lb, how much does the boy weigh?
The weight of the boy in the robot costume is 351/8 lb or 43 7/8 lb.
To find the weight of the boy, we need to subtract the weight of the costume from the total weight of the boy in the costume.
Total weight of boy and costume = 50 7/8 lb
Weight of costume = 3 1/2 lb
To find the weight of the boy, we can subtract the weight of the costume from the total weight:
Weight of boy = Total weight - Weight of costume
Convert both the total weight and the weight of the costume to improper fractions:
Total weight = 50 + 7/8 = 400/8 + 7/8 = 407/8 lb
Weight of costume = 3 + 1/2 = 6/2 + 1/2 = 7/2 lb
Now, subtract:
Weight of boy = (407/8) lb - (7/2) lb
To perform subtraction, we need to have a common denominator, which is 8 in this case:
Weight of boy = (407/8) lb - (56/8) lb
Now, subtract the fractions:
Weight of boy = (407 - 56)/8 lb
Weight of boy = 351/8 lb
To learn more about fraction click on,
https://brainly.com/question/15898930
#SPJ2
I RELLY NEED HELP RIGHT NOW
Answer: 28
Step-by-step explanation: