Answers
Answer:
36 units.
Step-by-step explanation:
Related Questions
The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the firm has and p is the profit.
1. Find the maximum profit made by the company.
2. How many clients are necessary to reach the profit outlined in part one?
Answers
Answer:
[tex]5144[/tex]
[tex]12[/tex]
Step-by-step explanation:
The function [tex]p=x^2-24x+5000[/tex] is incorrect as its roots are imaginary [tex]b^2-4ac=576-4\times 5000=-19424<0[/tex].
So, the correct function is
[tex]p=-x^2+24x+5000[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]p'=-2x+24[/tex]
Equating with zero
[tex]0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12[/tex]
Double derivative of the function
[tex]p''=-2<0[/tex]
So, the function is maximum at [tex]x=12[/tex]
Maximum profit is
[tex]p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144[/tex]
The maximum profit made by the company is [tex]5144[/tex]
The number of clients required to make the maximum profit is [tex]12[/tex].
Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm
Answers
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length (s) of an arc of a circle of radius r and angle θ is ...
s = rθ . . . . where θ is in radians
For your values, the arc length is ...
s = (2.6 cm)(2.5 radians) = 6.5 cm
The length of the subtended arc is 6.5 cm.
An airplane is heading due south with an airspeed of 196 miles per hour (mph). A wind from a direction of
N 58°E is blowing at 14 mph. Determine the bearing of the airplane by computing the magnitude and
direction of the resultant vector. Round the angle to the nearest degree.
(A)S 88°W
(B) S 87W
(C)S 2º W
(D)S 3W
Answers
Answer:
d
Step-by-step explanation:
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answers
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
what 2 answers are these?! x^2−5x−8=0
Answers
Answer:
sorry look question at once and comment
What is the inverse function of (2)
2
?
Answers
a,b,c,and d
Step-by-step explanation:
there came a time, when a child cheated on their math work. getting the answers they needed wasnt all
they needed someone to make them feel terrible abuot it
and thats what im here to do
PICK ALL OF THEM
MASH YOUR COMPUTER
Which of the following is the graph of the function y = (x – 3)2 – 2?
Answers
Answer: I’m pretty sure it’s graph A
Step-by-step explanation:
Answer:
D, Last graph
Step-by-step explanation:
After test review, it revealed the answer, but the answer's D. Sorry for the poor explanation!
Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x
Answers
Answer:
The correct answer is y=4x
Step-by-step explanation:
An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box with the largest possible volume
Answers
Answer:
Maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm
Step-by-step explanation:
Surface area of box
[tex]4xy+x^2=120\\\Rightarrow y=\dfrac{120-x^2}{4x}[/tex]
Volume of box is
[tex]V=x^2y\\\Rightarrow V=x^2\times \dfrac{120-x^2}{4x}\\\Rightarrow V=\dfrac{120x-x^3}{4}\\\Rightarrow V=30x-\dfrac{1}{4}x^3[/tex]
Differentiating with respect to [tex]x[/tex]
[tex]\dfrac{dV}{dx}=30-\dfrac{3}{4}x^2[/tex]
Equating with zero
[tex]30-\dfrac{3}{4}x^2=0\\\Rightarrow x^2=\dfrac{30\times 4}{3}\\\Rightarrow x^2=40\\\Rightarrow x=6.32[/tex]
Double derivative of the volume
[tex]\dfrac{d^2V}{dx^2}=-\dfrac{6x}{4}=-\dfrac{6\times 6.32}{4}=-9.48<0[/tex]
So, the volume is maximum at [tex]x=6.32[/tex]
[tex]y=\dfrac{120-x^2}{4x}=\dfrac{120-40}{4\times \sqrt{40}}\\\Rightarrow y=3.16[/tex]
So, the maximum length and breadth of the box is 6.32 cm and the height of the box is 3.16 cm.
pls help 20 points I just need an explanation
Answers
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
The circumference of a circle is 137 m. Find its diameter, in meters.
Answers
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
find the value of x
Answers
Snowflake the snowman wants to buy new scarves if each scarf cost $4.27 how much did snowflake spend if he buys 5
Answers
Answer:
21.35
Step-by-step explanation:
4.27 * 5 i hope this is one of your answers
In a particular library, 18% of the books are children's books, 53% of the books are adult fictions, and the rest are adult non-fiction
You choose one book at random. What is the probability that it is an adult non-fiction book ?
Answers
Answer:
29%
Step-by-step explanation:
You add the 18 and 53 then subtract by 100 to receive your answer
Answer:
29%
Step-by-step explanation:
You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.
Find the midsegment.
Answers
Answer:
14
20+8=28/2
your welcome
Please answer quickly Thank You
Answers
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
PLZ HELP
I WILLMARKE YOU BRILL
Answers
Answer:
1. Mode = 7
2. Range = 8
Step-by-step explanation:
The following set of data were obtained from the question:
4, 6, 5, 9, 3, 2, 7, 7, 1, 8
Mode =?
Range =?
1. Determination of the mode of the data.
Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:
Scores >>>>>>> Frequency
4 >>>>>>>>>>>> 1
6 >>>>>>>>>>>> 1
5 >>>>>>>>>>>> 1
9 >>>>>>>>>>>> 1
3 >>>>>>>>>>>> 1
2 >>>>>>>>>>>> 1
7 >>>>>>>>>>>> 2
1 >>>>>>>>>>>> 1
8 >>>>>>>>>>>> 1
From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .
2. Determination of the range of the data.
Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:
Highest score = 9
Lowest score = 1
Range = Highest – Lowest
Range = 9 – 1
Range = 8
Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 16 inches long. What is the side length of each piece?
Answers
To do this problem you would need to have at least one side length AND the hypotenuse to figure out the other side length.
You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load.Part AHow many shifts must you work if you wish to wash 10 loads of laundry
Answers
Answer:
2 shifts
Step-by-step explanation:
Amount earned washes dishes = 12 dollars / hour
Shift duration = 75 minutes
Cost of laundry = 12 quarters per load
Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters
1 quarter = 25 cents
120 quarters = (25 * 120) = 3000 cents
100 cents = $1
3000 cents = 3000/ 100 = $30
Hence, to make $30 from washing dishes :
$12 = 1 hour
$30 = x
x = 30 / 12
x = 2.5 hours
1 shift lasts 75 minutes
2.5 hours = (2.5 * 60) = 150 minutes
150 / 75 = 2 shifts
HELPPPPPPPPPPPP PLSSSSSSSSSSSSSS
Answers
Answer: it’s C
Step-by-step explanation:
d,
hope this helps! May I have brainliest please? :D
X-4<5 I don’t get that
Answers
Answer:
x<9
Step-by-step explanation:
so first you add 4 to both sides,
then it is x<9 right?
WELL THAT'S THE ANSWER :)
pls give me brainliest
ˆ
THEY ARE CORRECT
GIVE THEM BRAINLIST BEFORE THIS GETS DELETED
help pls with question
Answers
Answer:
Step-by-step explanation:
It is a right triangle. The hypotenuse is 6+9=15.
Pythagorean Theorem: 9² + ?² = 15²
?² = 15² - 9² = 225 - 81 = 144
? = √144 = 12
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
Answers
Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
Coach Kay has assets that total $22,500 and liabilities that total $48,000. What is Coach Kay's net worth?
Answers
Answer:
70,500
Step-by-step explanation:
Add 22,500 and 48,000
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes?
Answers
Answer:
9
Step-by-step explanation:
i did the math
Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants. How many different outfits can Alphonsus put together with his new clothes?
Answers
Answer:
I think he can do 12 outfits.
Step-by-step explanation:
I hope this helps. Sorry if I am wrong, I am not the greatest at math.
The different outfits that Alphonsus can put together with his new clothes will be 12.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.
Assume that the different outfits that Alphonsus can put together with his new clothes be [x].
[x] = 4 x 3 = 12
[x] = 12
Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
#SPJ2
What is the value of sin(48) ? Use a calculator and round to the nearest tenth
Answers
Answer:
0.743
:))))))))))))))
Write an equation for the line in slope-intercept form.
Answers
Answer:
y=2
Step-by-step explanation:
Factor the trinomial below COMPLETELY
5x^2 - 20x + 60
Answers
Answer:
± [tex]\sqrt{-800}[/tex] / 2 or ±800i
Step-by-step explanation:
there are no rational roots because the square root of a negative
i got the answer by using the quadratic formula: (-b ±√b2 - 4ac) /2a
Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 20 feet, the other height and base of 6 feet, and one rectangle measuring 30 feet by 6 feet.
Answers
Answer:
398 ft
Step-by-step explanation:
