Answer:
Total volume of 80 balls = 2,263.2 inch³
Step-by-step explanation:
Given:
Diameter of lead ball = 6 inch
Number of ball need = 80
Find:
Total volume of 80 balls
Computation:
Radius of lead ball = Diameter / 2
Radius of lead ball = 6 / 2
Radius of lead ball = 3 inch
Volume of lead ball = πr²
Volume of lead ball = (22/7)(3)²
Volume of lead ball = (22/7)(9)
Volume of lead ball = 28.29 inch³ (Approx.)
Total volume of 80 balls = 80 x Volume of lead ball
Total volume of 80 balls = 80 x 28.29
Total volume of 80 balls = 2,263.2 inch³
The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8
Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit
9514 1404 393
Answer:
f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallonStep-by-step explanation:
Given:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
Find:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
Solution:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
11. A bicycle wheel turns 15 times in covering a distance of 66 m. Find the radius of the wheel
Answer:
r = 10.5 m
Step-by-step explanation:
Given that,
A bicycle wheel turns 15 times in covering a distance of 66 m.
We need to find the radius of the wheel.
The distance that a wheel travels in one rotation is simply the circumference of the circle.
[tex]2\pi r=66[/tex]
Where
r is the radius of the wheel
Put all the values,
[tex]r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m[/tex]
So, the radius of the wheel is equal to 10.5 m.
A cafeteria worker can make 18 cheese sandwiches in 4 minutes. At that rate, how many cheese sandwiches can he make in 14 minutes?
Answer
63
Step-by-step explanation:
18*3=54
18/2=9
63
Answer:
63
Step-by-step explanation:
18 divided by 4 is 4.5
4.5 times 14 is 63
Not sure if this is correct but i hope it is
What is the measure of m?
6
m
18
n
m
=
[?]
Answer:
Step-by-step explanation:
the real answer is m=12:))
can someone please answer this im so tired man
Answer:
3. 7/12
4. 1/3
5.1 1/2
Step-by-step explanation:
Hope this helps and have a great day!!!
3. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14 m,
what is ?
A 8
C. 10
B. 9
D. 11
Answer:
The correct answer is D, 11 cm.
Step-by-step explanation:
Given that the third side of a triangle measures (3x-5) cm, if the length of the midline is 14 m, to determine the length of the third side and the correct option, the following calculations must be performed:
X (third side) = midline x 2
X = 14 x 2
X = 28
3X - 5 = 28
3X = 28 + 5
3X = 33
X = 33/3
X = 11
Therefore, the correct option is D: 11 cm.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Just click an x on the graph for each number in the chart.
1/4 would have 4 x's
2/4 would have 2 x's
3/4 would have 1 x
1 would have 2 x's
Find c in this special right triangle. *
Please help it’s due in an hour!
Answer:
Step-by-step explanation:
..Find the missing number?
Answer:
The missing number would be 17
Step-by-step explanation:
Answer: I think it’s 7
Step-by-step explanation:
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7.3 in
7.3 in
7.3 in
7.3 in
7.3 in
Change 7 kilograms into grams.
Answer:
it's. 7000
Step-by-step explanation:
1 kg = 1000 g
7 kg × 1000 g = 7000g
Answer -. 7 kg = 7000 g
Thanks
Solve each division problem, and classify it based on its quotient.
Answer:
show the image so i can answer
plz put the image so i can see cus there are two types
Learning Check Evaluate Algebraic Expressions Substitute for the given values. Then, solve using the order 2x + 10 when x = 5
Answer:
20
Step-by-step explanation:
2(5)+10=20
[tex]\huge \colorbox{pink}{Mathematics}[/tex]
2x + 10 when x = 5
Solution[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]
Answer: 20Correct me if I'm wrong
I hope it helps ^_^
Given m|n, find the value of x.
t
156°
х.
Answer:
i think the answer would be 156° .
hope it helps you ^.^
Can you help me with this please!?
9514 1404 393
Answer:
(a) 2021
Step-by-step explanation:
The expression can be simplified.
[tex]\displaystyle\frac{a^4+b^4+2a^2b^2+a^3b+ab^3}{a^2+b^2}+ab=\frac{(a^2+b^2)^2+ab(a^2+b^2)}{a^2+b^2}+ab\\\\=a^2+b^2+ab+ab=(a+b)^2\\\\=(\sqrt{2021})^2=\boxed{2021}[/tex]
Consider the following scenarios, where we apply probability to a game of flipping coins. In the game, we flip one coin each round. The game will not stop until two consecutive heads appear. (a) What is the probability that the game ends by flipping exactly five coins? (b) Given that the game ends after flipping the fifth coin, what is the probability that three heads appear in the sequence?
Answer:
3.125%
0%
Step-by-step explanation:
A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times
0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%
Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.
Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]
Part(b): The probability that three heads appear in the sequence is [tex]0.5[/tex].
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.
Part(a):
The Probability of games ends by flipping exactly five coins is,
[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]
Where [tex]p=P(H)[/tex]
When the coin is fair so the probability is,
[tex]P(H)=\frac{1}{2}[/tex]
P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]
Part(b):
The Probability of games ends by flipping exactly three heads is,
[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]
Where [tex]p=P(H)[/tex]
When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]
Learn more about the topic of Probability:
https://brainly.com/question/6649771
Nicholas is currently in eighth grade and intends to attend a state college when he finishes high school. Nicholas’s parents currently have some money invested in mutual funds, but would like to invest this money in a more secure investment now to pay for college in 4 years. If they will need $25,000, how much do Nicholas’s parents have to invest now in a 48month CD that has a rate of 4.59% compounded monthly?
Answer: he has 10 monthly
Step-by-step explanation:
see from the question
Pleaseeeeeeeeeeee helpppp
Answer:
I think is 40Step-by-step explanation:
good luck
Answer:
i don know what because this makes no sense
Step-by-step explanation:
good luck
A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 6 inches in length. Which of the
following statements is correct?
A. The angle opposite the side measuring 6 inches has one solution
of approximately 28 degrees.
B. The angle opposite the side measuring 6 inches has two solutions
of approximately 28 degrees and 36 degrees.
O C. The angle opposite the side measuring 6 inches has one solution
of approximately 22 degrees.
D. There is not a solution for the angle opposite the side measuring 6
inches.
The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.
Sine ruleSine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:
a / sin(A) = b / sin(B) = c / sin (C)
where A, B, C are the angles and a, b, c are the sides opposite to the angles.
From the question:
let a = 8 in, A = 30°, b = 6 in, hence:
a / sin(A) = b / sin(B)
8 / sin(30) = 6 / sin(B)
B = 22°
The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.
Find out more o Sine rule at: https://brainly.com/question/4372174
Evaluate x[tex]x^{2} \sqrt{(x^3+9)}[/tex]with subsititution using u=x^3+9
It sounds like you're talking about an integral, namely
[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx[/tex]
Substitute u = x ³ + 9, so that du = 3x ² dx. Then
[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx=\frac13\int\sqrt{u}\,\mathrm du=\frac13\times\frac23u^{\frac32}+C=\boxed{\frac29(x^3+9)^{\frac32}+C}[/tex]
What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram
Answer:
for square its A=a2
for trapezoid its A=a+b/2h
for triangle A=hbb/2
for parallelogram A=bh
Step-by-step explanation:
A number than can be written as a ratio
of two integers a and b, where b is not
zero
Answer:
rational number
Step-by-step explanation:
HELP WILL GIVE BRANLIEST!
Answer:
Since it is vertical angles, 4x - 12 = 88.
Answer is 25
Step-by-step explanation:
88 + 12 = 100
100 / 4 = 25
tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.
Answer:
5 hours must pass
Step-by-step explanation:
Graph the equations y = 2x + 100 and y = -6x + 140
Then find the x intercept of their intersection, in this case, that is 5
BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.
Answer:
Step-by-step explanation:
w is the width of the rectangle, then the length would be 4w - 3.
A = lw
A = w(4w -3)
A =4w² - 3w
Hope this helped!!!
what are some common work activities performed by Human Resources Managers? Check all that apply.
resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a
Answer:
A, resolving conflicts and negotiating with others
D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.
Step-by-step explanation:
Answer:
its A,B,D,F
developing objectives and strategies
assisting and caring for others
establishing and maintaining interpersonal relationships
interpreting the meaning of information for others
Given f(x) = 13x - 9, find (f(x + h) - f(x))/h and simplify the result.
Answer:
13
Step-by-step explanation:
Given
f(x) = 13x - 9 , then
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]\frac{13(x+h)-9-(13x-9)}{h}[/tex]
= [tex]\frac{13x+13h-9-13x+9}{h}[/tex]
= [tex]\frac{13h}{h}[/tex]
= 13
please help me i will give a brainliest
todo número tem?
o zero não é de nenhum número natural?
Answer:
0 não é um número natural.
Step-by-step explanation:
0 não é positivo ou negativo. Como todos os números naturais são inteiros positivos, não podemos dizer que 0 é um número natural.
Help please !! need it adap
Answer:
m < Q = 40°
m < M = 60°
Step-by-step explanation:
1.) All angles in every triangle altogether equal 180°
From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)
180 - 100 = 80
80/2 = 40
2.) This is an isoceles (all angles and sides are equal) There are three angles (divide 180 by 3)
180/3 = 60