Answer:
V = r(40 - 3πr²)/2
Step-by-step explanation:
We know the area of a cylinder, A = 2πr² + 2πrh where r = radius and h = height.
Now, 2πr² = area of top and bottom and 2πrh = curved surface area
Since the cost of material for the top and bottom is 3 cents per square inch, the total cost of the materials for top and bottom = cost of material × area = 3 × 2πr² = 6πr²
Also, the cost of material for the curved is 2 cents per square inch, the total cost of the materials for the curved side = cost of material × area = 2 × 2πrh = 4πrh
The total cost of material = 6πr² + 4πrh
Since the total cost of material = 80 cents,
6πr² + 4πrh = 80
3πr² + 2πrh = 40 (1)
Now, the volume of a cylinder, V = πr²h
From (1), making h subject of the formula, we have
3πr² + 2πrh = 40
2πrh = 40 - 3πr²
h = (40 - 3πr²)/2πr
Substituting h into V, we have
V = πr²h
V = πr² (40 - 3πr²)/2πr
V = r(40 - 3πr²)/2
I Need helppp! Please helpp!!
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Answer:
x = 1/2
Step-by-step explanation:
There are some different ways to find the area of a donut shape. One is to multiply its centerline length by its width. We'll use that here to find the shaded area of the sector.
The centerline radius of shaded area A is ...
(6x -2) cm + (1/2)(4x cm) = 8x -2 cm
The length of the centerline is ...
s = rθ = (8x -2)(π/4) . . . . . . for a central angle of 45° = π/4 radians
Then the area A is ...
area A = (π/4)(8x -2)(4x) = 2πx(4x -1) . . . cm^2
__
The radius of circle B is ((4 -4x) cm)/2 = (2 -2x) cm. The area of circle B is ...
A = πr^2 = π(2 -2x)^2 cm^2
We're told the two areas are equal, so we have ...
2πx(4x -1) = π(2 -2x)^2 . . . . . . . expressions for the areas are equal
8x^2 -2x = 4x^2 -8x +4 . . . . . . divide by π, eliminate parentheses
4x^2 +6x -4 = 0 . . . . . . . . . . . . subtract the right-side expression
2(2x -1)(x +2) = 0 . . . . . . . . . . . factor
x = 1/2 or -2 . . . . . . . only the positive solution is useful here
The value of x is 1/2.
Is this is a math question?
Help me please can someone tell me how to do this
please help me answer the question.ghvjhbikb
Answer:
240units^2
Step-by-step explanation:
The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.
Then for the rectangle below you do l x w, or 10 x 20 giving 200.
You then add it all together, 200+20+20=240 units squared.
Hope this helps!
Car = V-8 sedan
Years driven = first and second
Miles driven = 15.500 miles first year and 14,500 miles second year
The cost of depreciation will be $
Answer:
$500
Step-by-step explanatioThe numberber of years driven is the first and second year
= 2
Miles driven
First year= 15,500
Second year= 14,500
Therefore the cost of depreciation can be calculated as follows
15,500-14,500/2
= 1000/2
= 500
Hence the cost of depreciation is $500
The answer is: 2,318
First year on the graph: 8.5
Second year on the graph: 6.9
First year:
15,500 x 8.5 = 131,750
131,750/100 = 1,317.50
Second year:
14,500 x 6.9 = 100,050
100,050/100 = 1,000.50
1,317.50 + 1,000.50 = 2,318
Help please and explain how to get the answerm
Answer:
147 degrees
Step-by-step explanation:
all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.
If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)
Answer:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Required
The inverse function
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Replace f(x) with y
[tex]y = \frac{2x}{7} + 4[/tex]
Swap x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Multiply through by 7
[tex]7x = 2y + 28[/tex]
Solve for 2y
[tex]2y = 7x - 28[/tex]
Solve for y
[tex]y = \frac{ 7x-28}{2}[/tex]
Factorize
[tex]y = \frac{ 7(x-4)}{2}[/tex]
Write as:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Which is the graph of f(x) =
30 POINTS AND BRAINLIEST Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon, and each gallon covers 420 square feet. What is the area of the barn Alexis needs to paint? ______________ Explain how you found your answer.
Answer:
It will cost $532 to paint the barn
Step-by-step explanation:
First we need to find the area of the barn's walls.
2 (length x height) + 2 (width x height)
=2 (80x30) + 2 (50x30)
=2 (2400) + 2(1500)
=4800+3000
=7800 ft^2
Now we can find the amount of gallons needed, then the total cost.
7800 ft^2/420 ft^2
=18.57 gallons
=19 gallons
19 gallons x $28
=$532
Answer:
520
Step-by-step explanation:
Area:
[tex]2(80*30) + 2(50*30) = 7800[/tex]
Price
[tex]\frac{7800}{420}*28 = 520[/tex]
Help please :) love yall. select three choices that are ways to show 0.48. last one is forty-eight tenths
Answer: The first, The second, and the number line one love!
Step-by-step explanation:
Solve for x 5x - 10 = -10
Answer:
the answer is x = 0
Step-by-step explanation:
Cancel equal terms on both sides of the equation:
[tex]5x = 0[/tex]
Divide both side of the equation by 5.
[tex]x = 0[/tex]
Therefore, the answer is x = 0
Answer:
5x - 10 = -10
+10 +10
5x = 0
divide by 5 on both sides:
x = 0
a. -3/2
b. 0
c. 3/2
d. DNE
does anyone know this
Answer:
YASSSSSSSS its c hope this helps
- Isabella<3
Step-by-step explanation:
. A point P is equidistant from R(-2, 4) and S(6,-4)
and its x-coordinate is twice its y-coordinate.
(0) Find the coordinates of P.
(ii) Hence, determine whether P, R and S are
collinear, showing your working clearly.
Answer:
I) coordinate of P is (11, 5.5)
II) Points are not collinear
Step-by-step explanation:
I) Let the coordinates of P be (a, b)
We are told that its x-coordinate is twice its y-coordinate. Thus, a = 2b
Now, P is equidistant from R(-2, 4) and S(6,-4). Thus;
PR = PS
Using the formula for distance between two coordinates, we have;
√((a - (-2))² + (b - 4)²) = √((a - 6)² + (b - (-4))²)
This gives;
(a + 2)² + (b - 4)² = (a - 6)² + (b + 4)²
Since a = 2b,then we have;
(2b + 2)² + (b - 4)² = (2b - 6)² + (b + 4)²
4b² + 8b + 4 + b² - 8b + 16 = 4b² - 12b + 36 + b² + 8b + 16
Simplifying this gives;
20 = 42 - 4b
42 - 20 = 4b
4b = 22
b = 22/4
b = 11/2
b = 5.5
Since a = 2b
Then a = 2 × 5.5
a = 11
Thus, coordinate of P is (11, 5.5)
II) Formula for area of triangle formed by three points is given as;
A = ½|(x1 - x2) (x2 - x3)|
|(y1 - y2) (y2 - y3)|
x1 - x2 = 11 - (-2) = 13
x2 - x3 = -2 - 6 = -8
y1 - y2 = 5.5 - 4 = 1.5
y2 - y3 = 4 - (-4) = 8
Thus;
A = ½|13 -8|
|1.5 8|
A = ½((13 × 8) - (1.5 × - 8))
A = ½(104 + 12)
A = 58
Since the area is not zero, then it means the points are not collinear.
Write the explicit equation.
-8, -2, 4, 10
Answer:
a*n = -8 + (n - 1)6
Step-by-step explanation:
Explicit formula:
a*n = a*1 + (n - 1)d
a*1 = first term
n = nth term or the place
d = difference
Set: -8, -2, 4, 10
-8 ---> -2 = 6 added
Fill it in.
a*1 = -8
n = n
d = 6
Solution:
a^n = -8 + (n -1)6
A bike ride event is 10 miles. A first aid tent is put 3/5 of the way from the start. What is the distance from the starting point to the first aid tent?
don't know but the distance between the starting point to the first aid tent is 6cm or miles don't know but this much far
Each quarter the marketing manager of a retail store divides customers into two classes based on their purchase behavior in the previous quarter. Denote the classes as L for low and H for high. The manager wishes to determine to which classes of customers he should send quarterly catalogs. The cost of sending a catalog is $15 per customer and the expected purchase depends on the customer’s class and the manager’s action. If a customer is in class L and receives a catalog, then the expected purchase in the current quarter is $20, and if a class L customer does not receive a catalog his expected purchase is $10. If a customer is in class H and receives a catalog, then his expected purchase is $50, and if a class H customer does not receive a catalog his expected purchase is $25. The decision whether or not to send a catalog to a customer also affects the customer's classification in the subsequent quarter. If a customer is class L at the start of the present quarter, then the probability he is in class L at the subsequent quarter is 0.3 if he receives a catalog and 0.5 if he does not. If a customer is class H in the current period, then the probability that he remains in class H in the subsequent period is 0.8 if he receives a catalog and 0.4 if he does not. Assume a discount rate of 0.9 and an objective of maximizing expected total discounted reward.
a) Formulate this as an infinite-horizon discounted Markov decision problem.
b) For ???? = 0.1, find a near-optimal policy using value iteration.
c) Find an optimal policy using policy iteration starting with the stationary policy which has greatest one-step reward.
d) Formulate the problem as a linear program, giving its primal and dual. Solve both and interpret the solutions.
Answer:
55
Step-by-step explanation:
Given the piecewise function below, which equation represents piece "B"?
Answer:
y=1
Step-by-step explanation:
x is 0 so there is no point putting that in in the equation y=mx+b you do have the b which is 1 so that is your equation
4) Jenee made a 99, 86, 76, and 95 on her first four spelling tests. Her mother told her
that her spelling test average had to be a 91 for Jenee to get a new video game. What
does Jenee need to make on her next test?
Answer: She needs to get 99 on her next test.
Step-by-step explanation:
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
Use the sketching tool to help explain if you'd like.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answer:
Step-by-step explanation:
The last statement is false.
∠BAF and ∠EAB are supplementary angles.
a) -4/5
b) -5/4
c) 4/5
d) 5/4
Answer:
d) 5/4
Step-by-step explanation:
The gradient is change in y over change in x
hope it makes sense
:)
PLEASE HELP ASAP
Mr. Green has a class of 15 students. He can spend $20 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $144.75. After buying the calculators, how much does he have left to spend on each student?
Answer:
10.35
Step-by-step explanation:
He has $300 (15x$20). He spends 144.75. He has 155.25 in total. That leaves 10.35 (155.25/15) to spend on each student.
Find the 8th term in the
sequence
-1/2,-1, -2, -4,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)
Answer:
-64
Step-by-step explanation:
By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:
[tex]t *r^{n-1}[/tex]
where t is the first term and r is the ratio. We can substitute in the information we know:
[tex]-\frac{1}{2} *2^{n-1}[/tex]
We are looking for the eighth term, so we substitute 8 where n is:
[tex]-\frac{1}{2}*2^{8-1}[/tex]
We can simplify:
[tex]-\frac{1}{2}*2^7[/tex]
[tex]-2^6[/tex]
[tex]-64[/tex]
A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *
Answer:24.2 m
Step-by-step explanation: yea u gotta use the metric system
The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line?
ATCs are required to undergo periodic random drug testing.
A simple, low-cost urine test is used for initial screening. It has been reported that this particular test has a sensitivity and specificity of 0.96 and 0.93. This means that if there is drug use, the test will detect it 96% of the time. If there is no drug use, the test will be negative 93% of the time.
Based on historical results, the FAA reports that the probability of drug use at a given time is approximately 0.007 (this is called the prevalence of drug use).
Draw a probability tree for the situation. (Use this order for the tree: Drug Use(yes/no) -> Test Result(+/-) -> Joint Probabilites)
A positive test result puts the air traffic controller’s job in jeopardy. What is the probability of a positive test result?
Find the probability an air traffic control truly used drugs, given that the test is positive.
Answer:
The responsess to the given question can be defined as follows:
Step-by-step explanation:
[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]
[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]
As per the given info we draw the tree diagram which is defined in the attachment file.
[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]
[tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]
[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]
[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]
Write one way of representing the equation of the given line in point-slope form. Then rewrite the equation in slope-intercept form.
URGENT NEED HELP CLICK TO SEE
Answer:
4.20
Step-by-step explanation:
First find the total cost of the nametags
105 * .12
12.60
Then divide by the 3 teachers
12.60/3 =4.20
Each teacher will pay 4.20
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
Work out the perimeter of this shape. Please help!
Answer: 138
Step-by-step explanation:
(65*2)=130
(4*2)=8
130+8=138
Answer:
2 (l+b )=2 (65+4)=2×69=128