Answer:
The number of units that must be sold in order to have the greatest revenue is 50,000 units
Step-by-step explanation:
Given;
y = -0.0002x² + 20x
where;
y is the revenue
x is the units of the product
The equation above is a quadratic equation, to obtain the value of x (units) that will give maximum value of y (revenue), we differentiate the equation.
dy/dx = -0.0004x + 20
Now, equate the differential value to zero, in order to get the value of x that will make the equation maximum.
-0.0004x + 20 = 0
-0.0004x = -20
x = (-20) / (-0.0004)
x = 50,000 units
Therefore, the number of units that must be sold in order to have the greatest revenue is 50,000 units
What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
Answer:
(x + 4)(x + 5)
Step-by-step explanation:
If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x
Mean 60 points if all is correct, really need some help.
As its not allowing 40/5= 8 mean.
Answer:
2^K≥40
2^5≥20
24/5 =4.75
40 books= 40/5 = 8 mean
9 2's
10 7's
13 12's
2 17's
6 22's
18+70+156+34+132= 410/40 =10.25
150+156+70=306+70=376/40 books bought = 9.4 mean
Step-by-step explanation:
??????????????????????????
Answer:
50
Step-by-step explanation:
Answer:
it's 90
Step-by-step explanation:
I don't know how to explain it but I've done that before. I'm more than sure.
Find the difference. (16^3 + 2^2) - 4^3 =
Answer:
4036
Step-by-step explanation:
(16^3 + 2^2) - 4^3
(4096 + 4) - 64
4100 - 64
4036
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? (please help I might fail Math.)
Answer:
226 grams
Step-by-step explanation:
The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.
As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,
Amount decayed = 1/2 * 904 grams
= 452 grams
Amount left = 904 grams - 452 grams
= 452 grams
After another 35 hours (now a total of 70 hours),
Amount decayed = 1/2 * 452 grams
= 226 grams
Amount left = 452 grams - 226 grams
= 226 grams
Math question down below
Answer:
D. 604
Step-by-step explanation:
411/3 = 137
137 + 388 = 525
----------------------------------
(n) 604 - 79 = 525
which of the following numbers are solutions of the sentence x - 3 < 2 ?
Answer:
J
Step-by-step explanation:
you get -6, -3, and -1 which are all less than 2
By options all the solutions are,
⇒ x = - 3, 0 , 2
Because all are less than 5.
What is mean by Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Inequality is,
⇒ x - 3 < 2
Now, We can simplify as;
⇒ x - 3 < 2
Add 3 both side,
⇒ x - 3 + 3 < 2 + 3
⇒ x < 5
Hence, By options all the solutions are,
⇒ x = - 3, 0 , 2
Because all are less than 5.
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ2
A cone and a cylinder have the same height and their bases are congruent circles
If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?
Answer:
[tex]30cm^3[/tex]
Step-by-step explanation:
the volume of a cylinder is given by:
[tex]v_{cylinder}=\pi r^2 h[/tex]
and the volume of a cone is given by:
[tex]v_{cone}=\frac{\pi r^2 h}{3}[/tex]
since both have the same height and radius, we can solve each equation for [tex]r^2h[/tex] (because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
[tex]r^2h=\frac{v_{cylinder}}{\pi}[/tex]
and from the cone's volume formula:
[tex]r^2h=\frac{3 v_{cone}}{\pi}[/tex]
matching the two previous expressions:
[tex]\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}[/tex]
we solve for the volume of a cone [tex]v_{cone}[/tex]:
[tex]v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}[/tex]
substituting the value of the cylinder's volume [tex]v_{cylinder}=90cm^3[/tex]
[tex]v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3[/tex]
Answer:
volume of the cone = 30 cm³
Step-by-step explanation:
first write both the formula for finding the volume a cone and a cylinder
volume of a cone = [tex]\frac{1}{3}[/tex] πr² h
where r is the radius of the cone and h is the height of the cone
volume of a cylinder = πr²h
where r is the radius of the cylinder and h is the height of a cylinder
since the cone and the cylinder has the same height and they are congruent which implies they have the same radius, then
volume of a cone = [tex]\frac{1}{3}[/tex] πr² h
= [tex]\frac{1}{3}[/tex] (volume of a cylinder)
from the question given, volume of the cylinder = 90 cm³
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
=[tex]\frac{1}{3}[/tex] × 90
= 30 cm³
Therefore, volume of the cone = 30 cm³
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answer:
11.25
Step-by-step explanation:
AB: < 14-3 , 17-12 >
AB: < 11, 15 >
AC = ¾< 11, 15 >
AC = < 8.25 , 11.25 >
OC = OA + AC
OC = < 3 , 12 > + < 8.25 , 11.25 >
OC = < 11.25 , 23.25 >
C: (11,25,23.25)
Helppp math genius helppppppp I'll mark you the brainlest
Answer:
21
Step-by-step explanation:
because it is only part of the bottom one so it should be 21 sorry if it wrong
Cos(angle) = adjacent leg/ hypotenuse
Cos(30) = x/24
X = cos(30) x 24
X = 20.78
X = 21
In the school cafeteria students choose what they want to eat each day. They can have 1 meat, 1 vegetable, a bread, and 1 dessert. There are 3 choices for meat, 2 vegetable choices, 2 bread choices, and 2 dessert choices. How many different combinations are possible?
Answer:
24 different combinations
Step-by-step explanation:
To determine the number of possible combinations, multiply the number of choices
3 meat* 2 vegetables* *2 bread* 2 Dessert
24 different combinations
Jack has 20 unit cubes. How many rectangular prisms with different sized bases can he build with the cubes?
Answer:
Jack can form four rectangular prisms with 20 unit cubes.
Step-by-step explanation:
Number of unit cubes Jack has = 20
Factors of 20 = 1, 2, 4, 5, 10, 20
The possible dimensions of a rectangular prism that can be formed by these unit cubes may be,
1 × 1 × 20 (One cube at the base)
1 × 2 × 10 (2 cubes at the base)
1 × 4 × 5 (4 cubes at base in a single row)
2 × 2 × 5 (4 cubes at the base with 2 cubes in length and 2 cubes in width)
Therefore, Jack can form four rectangular prisms with 20 unit cubes.
What is the area of this figure
180 square inches
190 square inches
45 square inches
96 square inches
Answer 190 square inches
Step-by-step explanation:
If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.
Answer:
190 square inches.
Step-by-step explanation:
here is my work to follow to figure out a problem like this.
help please asap :)))
Answer:
Step-by-step explanation:
The volume is calculated like:
V= length* hauteur* wide
V= 5* 2 3/4* 10 1/2
[tex]V= 5*\frac{11}{4} *\frac{21}{2} =\frac{5*11*21}{4*2} =\frac{1155}{8}=144.375 \\=144 \frac{3}{8} in^{3}[/tex]
How do you write 3.0 × 10^2 in standard form?
Answer:
300
Step-by-step explanation:
First you would find 10^2, which is 100. Then you just multiply 100 by 3.0 and get 300 :)
Answer:
To write in standard form, we have to move the decimal point in 3.14 over 2 places to the left since our exponent is −2. This gives us our answer of 0.0314.
I might be wrong.
Tiffany answered 90% of the questions on her math test correctly.
There were 50 questions on the test. How many questions did Tiffany answer correctly:
I NEED TO SHOW MY WORKKK, thank you :))
50=100%
X=90%
X=50*90%/100
X=45
Answer:
45
Step-by-step explanation
90/100 × 50/1 50 goes into 100 2
90/2 × 1/1 = 45
Hope this helps
Luke has 1/5 of a package of dried apricots. He divides the dried apricots equally into 5 small bags. Luke gives one of the bags to a friend and keeps the other four bags for himself.
What fraction of the original package of dried apricots did Luke keep for himself?
Answer:
4/25
First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.
What is the area of JKL if the coordinates of J,K and L are
Answer:
6 units²
Step-by-step explanation:
factorise 2d^2-98 completely
Answer:
Hello,
2 (d + 7) (d - 7)
Step-by-step explanation:
2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)
a² - b² = (a + b) (a - b)
2 (d² - 7²) = 2 (d + 7) (d - 7)
Sarah and gabriela are at a soccer camp . The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice . How many soccer practices can the coach have?
Answer:
the answer is 12
Step-by-step explanation:
you basically have to divide 8 by 2/3 then you would get 12
8/1 / 2/3 kcf8/1 x 3/2= 24/224 divided by 2 = 12What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?
52.5 in2
21 in2
105in2
10.5 in2
Answer:
its 52.5. I just did it on edge
Step-by-step explanation:
The area of the regular polygon is 52.5 in².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the regular pentagon, we use the formula below.
Formula:
A = anL/2............ Equation 1Where:
A = Area of the regular polygona = Length of apothem of the polygonn = Number of sides of each polygonL = Length of sides of each polygonFrom the question,
Given:
a = 4.2 inchesL = 5 inchesn = 5 (pentagon)Substitute these values into equation 1
A = 5×4.2×5/2A = 52.5 in²Hence, the area of the regular polygon is 52.5 in².
Learn more about area of regular polygon here: https://brainly.com/question/8409681
During the first week students of RSM solved 25 percent of their monthly quota of problems. In the second week, they solved 110 percent of the number of problems solved in the first week. In the third week they solved 60 percent of the problems they had solved during the first two weeks and, in the fourth week, they solved the remaining 320 problems. How many problems did the students solve during the month?
Answer:
2000 problems
Step-by-step explanation:
1st week - 0.25x
2nd week - 1.10(0.25x)
3rd week - 0.6(0.25x + 1.10(0.25x))
4th week - 320
Than to solve for the monthly quota, equate the sum of all the problems solved to x and determine its value. Thus, the students solved 2000 problems all in all.
Enjoy Your Answer!
Answer:
2000
Step-by-step explanation:
What is the product of the binomials
Answer:
(x-9)(x+2) = x^2 + 2x -9x -18 = x^2 -7x -18
Answer is B
Step-by-step explanation:
A bag contains 5 red marbles, 4 white marbles, and 5 blue marbles. Find P(red and blue).
Answer:
5/7
Step-by-step explanation:
The total number of marbles is 5+5+4 = 14
P(red and blue) = number of red and blue / total
=5+5 / 14
= 10/14
= 5/7
2 2/3 Divided by 1/4
Find the quotient simplify if possible
Answer:
Step-by-step explanation:
make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2
8/3
8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)
[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]
32/3=10 2/3
A powerful computer is purchased for $2000, but loses 20% of its value each year.
Answer:
It loses $400 a year
Step-by-step explanation
$2000 x 20% or .20 = $400 per year is what the computer loses.
It loses a great deal of value a year.
Answer: 100n
Step-by-step explanation:
Each year it looses 100$ of its value each year.
Help please!! I want to graduate but not good at math!! Only class I have left please!!
Answer:
Bro write the question better
Step-by-step explanation:
The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?
a) $22.95
b) $23.99
c) $24.22
d) $25.32
Answer:
Step-by-step explanation:
let the national average be x
11/100 * x = 11x/100
25.47 - x = 11x/100
100(25.47-x) = 11x
2547 - 100x = 11x
2547 = 11x + 100x
2547 = 111x
x = 2547/111
x = 22.945945945946
22.95
True or False data from frequency table can be used to make a scaled bar graph
Yes, it is true that data from the frequency table can be used to make a scaled bar graph.
What is a bar graph?A bar graph is a graphical depiction of information, amounts, or numbers using bars or strips. They are utilized to contrast and compare various data types, frequencies, or other measurements of several categories of data.
The number of times a specific value appears in the data is its frequency (f). A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values. Frequency tables or charts are used to represent frequency distributions.
so bar graphs can be made by frequency table because, To compare the frequency of one category or attribute with that of another, a bar graph is employed. The frequency for each category or attribute is displayed in the bar's height (if vertical) or length (if horizontal).
Hence it is true to make a bar graph from a frequency table.
Learn more about bar graphs;
https://brainly.com/question/30297248
#SPJ5
Ariana has $1000 to put in a savings account. She is choosing between two
banks. Bank A offers 4% compounded quarterly and Bank B offers 4.1%
compounded semiannually. If Ariana plans on keeping her money in a savings
account for a year, which bank would pay her more in interest, and by how
much?
Answer:
Bank B by 82 cents.
Step-by-step explanation:
Got it correct on the quiz.
Bank B would pay more interest than Bank A by $0.82
What is compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Given that, Ariana wants to deposit $1000, she needs to choose between two offers Bank A offers 4% compounded quarterly and Bank B offers 4.1% compounded semiannually.
We need to determine which Bank will offer her more,
The compound interest formula is equal to =
[tex]A = P(1+r/n)^{nt}[/tex]
where,
A is the Final Investment Value
P is the principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
Bank A =
t = 1
P = 1000
r = 0.04
n = 4
[tex]A = 1000(1+0.04/4)^{4}[/tex]
A = $1040.6
Bank B =
t = 1
P = 1000
r = 0.04
n = 2
[tex]A = 1000(1+0.041/2)^{2}[/tex]
A = $1041.42
Hence, the Bank B would pay more interest than Bank A by $0.82
Learn more about compound interest, click;
https://brainly.com/question/14295570
#SPJ5