Answer:
59.11221 in^3/s
Step-by-step explanation:
Given dr/dt = 0.6 in/s
Find dV/dt when r = 2.8 in.
[tex]V=\frac{4\pi r^3}{3}\\[/tex]
so [tex]\frac{dV}{dr}=4\pi r^2\\[/tex]
[tex]\frac{dV}{dt}=\frac{dV}{dr}\cdot\frac{dr}{dt}=4\pi r^2\cdot\frac{dr}{dt}[/tex]
Use r = 2.8 in and dr/dt = 0.6 in/s
get
[tex]\frac{dV}{dt}=59.11221 in^3/s[/tex]
You buy painting supplies for $12,
and you charge $3 per person to paint faces. How
many faces will you need to paint to earn $15
Answer:
9
Step-by-step explanation:
If you want to get $15 profit, You will need to paint 9 faces. You spent $12 on painting supplies so this is the explanation.
$3 x 9 = $27
$-12 + $27 = $15
That way, you earn $15.
Which point is located at (3,4)? A) M. B) N. C) O. D) P
B) N.
As we can see that the point N is 4 units away from x axis and 3 units away from y axis. Thus constituting the coordinate (3,4)
Answer:
B) N
Step-by-step explanation:
HOPES THIS HELP
If cos (α+β) = 0, then sin(α-β) can be reduced to
[tex] \text{ cos}( \alpha + \beta ) = 0 \\ \\ \implies \: \alpha + \beta = 90 \degree [\because \text{cos \: 90 \degree} = 0 ] \\ \\ \implies \theta = 90 \degree - \beta \: \: \: \: ......(i)[/tex]
[tex] \sin( \alpha - \beta ) \\ = \sin(90 \degree - \beta - \beta ) \: \: \: \: \text{[using \: (i)]} \\ = \sin(90 \degree - 2 \beta ) \\ = \cos(2 \beta ) \: \: \: \: \: \: \: \: \text[ \because \sin(90 \degree - \theta) = \cos( \theta) ] [/tex]
Hope This Helps!! :)Which letter on the number line represents 4.55?
F
E
D
C
Post a better picture then I'll help!
Anthony read 5 6 hour each day for 5 days.
The total number of hours for which Anthony has read after 5 days is; 4 1/6 hours
Total number of reading hoursAccording to the question;
Anthony reads for 5/6 hour each day and does this for 5 days.On this note, it follows that his reading rate is 5/6 hours per day and duration is 5 days.
Hence, the total number of reading hours is;
T = (5/6) × 5.T = 25/6T = 4 1/6 hours.
Read more on rate and time;
https://brainly.com/question/1256181
What shape do these coordinates make? ( 2, 7 ), ( 8, 7 ), ( 8, 3 ), ( 2, 3 )
Sten and Manu are at a mystery movie. The movie starts at 1:45 PM and ends at 3:40 PM. How long is the movie?
Answer:
Step-by-step explanation:
dang that a tow hour movie and 5 minuets movie let me know if i am wrong hope this help
A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 7 , before they draw closer. They measure the angle of elevation a second time from point b at some later time to be 12. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answer:
351 ft (nearest foot)
Step-by-step explanation:
Model the problem as a right triangle, where the horizontal leg is the water (where the boat is at the vertex with the hypotenuse), and the vertical leg is the lighthouse. The angle of elevation is between the boat and the top of the lighthouse. (see attached diagram)
Horizontal distance from point A to the lighthouse
Using the trig ratio tan(x) = O/A where x is the angle, O is the side opposite to the angle and A is the side adjacent to the angle:
Given:
x = 7O = 102 A = ?⇒ tan(7) = 102/A
⇒ A = 102/tan(7)
⇒ A = 830.7233357... ft
Horizontal distance from point B to the lighthouse
Given:
x = 12O = 102 B = ?⇒ tan(12) = 102/B
⇒ B = 102/tan(12)
⇒ B = 479.8722712... ft
Therefore, distance from A to B:
⇒ distance = A - B
⇒ distance = 830.7233357... - 479.8722712...
⇒ distance = 350.8510645...
⇒ distance = 351 ft (nearest foot)
need help...much appreciated!! Thanks!!
2k + 11 = 131
2k = 131 - 11
2k = 120
k = 120/2
k = 60⁰
Help me please if you can
Answer:
perimeter = 1 3/4
Step-by-step explanation:
1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2
2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4
3. 1 1/2 + 1/4 = 1 3/4
A doughnut shop makes 21 different types of doughnuts each day. Customers often select a "baker's dozen" from the shop,
that is, 13 doughnuts.
How many different ways can a customer choose 13 different types of doughnut for their "baker's dozen" without
repetition?
Answer: 203490
Step-by-step explanation:
just took an L to give you the right answer
What would happen to the variance of a data set if we multiplied every observation by S?
Estimate the quotient for 627 ÷ 9. explain how you found your awnser
69.7
Step-by-step explanation:
627 ÷ 9
=69.66666666666666
approximately
69.7
[tex] \sf \leadsto627 \div 9[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto \dfrac{627}{9} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto \dfrac{627 \div 3}{9 \div 3} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto \dfrac{209}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \leadsto 69.67[/tex]
Lynn ate lunch and wanted to leave her waitress 15% tip. her meal cost 8.95$. what is the tip and the total
Answer:
Tip would be 1.34
Step-by-step explanation:
total would be 10.29
if the arithmetic mean of 8,4,6,x,2,7 is 5 then find the value of x?
Answer:
This gives us the value of $x$ as 3. Hence the answer is 3.
Step-by-step explanation:
Step-by-step explanation:
if you would arrange it in order and solve you will get 3
Câu 33, 36, 47, 48, 59, 78, 83, 98, 99, 109.
Answer:
Following ungrouped data of Sales of a company (in millions) is available
52 33 70 95 57 61
57 64 54 94 38 61
50 39 94 63 59 31
68 88 93 48 82 82
74 70 92 76 98 91
32 33 31 75 54 48
36 64 63 66 92 98
36 54 71 86 84 55
91 34 64 67 89 78
97 92 53 56 68 55
93 42 51 77 36 93
44 66 63 33 68 79
83 53 86 76 35 40
55 41 36 39 42 96
60 53 38 51 95 56
48 69 49 33 95 37
83 62 96 34 85 32
39 59 77 62 35 34
54 89 36 45 83 34
39 61 88 86 55 33
69 54 30 38 79 77
95 34 38 91 80 90
88 45 95 71 80 43
61 40 31 61 58 53
91 63 60 94 98 53
50 34 75 74 90 98
1. Make the frequency distribution table with appropiate class interval, frequency,
cumulative frequency.
1. Calculate the mean, median, mode and quartiles of grouped data.
2. Calculate the standard deviation, variance and range
3. Make the following diagrams: Histogram, Frequency Polygon, Olive
find the mean, median and mode
Answer:
Mean: 26.88
Median: 27
Mode: 27
Step-by-step explanation:
19,20,20,21,21,21,22,22,23,23,23,25,25,25,25,25,27,27,27,27,27,27,27,27, 27,27,28,28,28,29,29,29,29,29,29,30,30,30,30,33,33,34,35,40
Mean: 26.88
Median: 27
Mode: 27
Sorry if there are any repeating numbers, this is quite long.
Hope this helps!
The population of a certain city was 3,416 in 1999. It is expected to decrease by about 0.28% per year. Write an exponential decay function, and use it to
approximate the population in 2023
The exponential decay function where f(x) is the population of the city x years after 1999 is f(x)=
Answer:
f(x) = 3416*(0.0028)^x
Step-by-step explanation:
f(x) = 3416*(0.0028)^x
3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
rhombus. Show algebraic work to justify your answer.
Answer:
ABCD is a rhombus
Step-by-step explanation:
Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...
AB = CD
2x +1 = 3x -11
12 = x . . . . . . . . add 11-2x to both sides
Sides AB and CD have length ...
2x +1 = 2(12) +1 = 24 +1 = 25
Then the length of side AD is ...
AD = x +13 = 12 +13 = 25
Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.
6, ?, 4, 2
find the missing term of the Fibonacci style sequence
Answer:
-2
Step-by-step explanation:
The Fibonacci Sequence is the series of numbers where the next number is found by adding up the two numbers before it.
Therefore, 6 + ? = 4
⇒ ? = 4 - 6
⇒ ? = -2
lou eats 6/8 of a pizza. what fraction of the pizza, in simplest form, is left over
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{6}{8}[/tex]
A full pizza would be a whole; 1 or [tex]\frac{8}{8}[/tex]. So you must subtract the amount Lou eats, to the original amount.
[tex]\frac{8}{8} - \frac{6}{8} = \frac{2}{8}[/tex]
[tex]\frac{2}{8} = \frac{1}{4}[/tex]
Your final answer will be [tex]\frac{1}{4}[/tex].
Raghav scod18 out of 20 in the method test his friends only scored 22 out of 25 in the English test who scored more and by how much
Answer:
sorry but I really don't know the answer
Step-by-step explanation:
I’m awful at geometry! Please help :)
Answer:
a is 64 degrees
b is 138.6667
Step-by-step explanation:
a is simple because you know a straight line has 180 degrees and since one side is 116 you simply subtract 180-116=64.
b is more complicated. Since a hexagon has a total internal angle of 720. 3 angle measures are given.
720-116- (180-82)-90=416
Since the last three angles are the same, you can divide by 3.
416/3=138.6667
Hopefully I didnt make any calculation errors because there is a lot of calculating for b.
NO LINKS!!! Use the following graph of f(x) to answer the following below.
Answer:
a) inc: (-6, 2) ∪ (8, 11); dec: (2, 8)
b) (2, 4) and (8, -2)
c) min: (-8, -3); max: (2, 4)
d) D: [-6, 11]; R: [-3, 4]
e) -2
f) {0, 4}
g) up: (6, 10); down: (0, 6) ∪ (10, 11)
Step-by-step explanation:
a)The graph is increasing where the slope is positive. The graph is decreasing where the slope is negative. Points where the slope is zero are not part of the interval. End points of the domain are generally not included, either.
increasing: (-6, 2) ∪ (8, 11)
decreasing: (2, 8)
__
b)Critical points are points where the slope is zero (tangents are horizontal) or undefined (tangents are vertical).
critical points: (2, 4) and (8, -2)
__
c)Minima and maxima are found either at turning points or the ends of the domain. Here, we have ...
absolute minimum: (-8, -3)
local minimum: (8, -2)
local maximum: (11, 1)
absolute maximum: (2, 4)
__
d)The domain is the horizontal extent of the graph. The range is the vertical extent.
domain: [-6, 11]
range: [-3, 4]
__
e)To find the function value for a given value of x, locate that value of x on the graph and see where the function crosses that vertical grid line. Here, the point is marked (8, -2).
f(8) = -2
__
f)Points where f(x) = 3 will have y-coordinates of 3. They will be at the intersection of the horizontal line y=3 and the graph. Here, they are marked for you:
f(0) = 3
f(4) = 3
The values of x where f(x) = 3 are 0 and 4.
__
g)Concavity switches from up to down, or vice versa, at points of inflection. Here, the points of inflection are hard to determine. We will assume they are the points marked (6, 0) and (10, 0).
Where the graph has a ∩ shape (slope is decreasing), the concavity is down. Where the graph has a ∪ shape (slope is increasing), the concavity is up. The slope on the interval (-6, 0) is constant at +1, so is neither increasing nor decreasing. There is no concavity on that interval.
concave down: (0, 6) ∪ (10, 11)
concave up: (6, 10)
The equation e^y= 2x is equivalent to
y = In 2
y = In x
y = In 2x
Answer:
y = ln(2x)
Step-by-step explanation:
Neat document provided.
wich is greter 6/10 or 9/8
Answer:
9/8
Step-by-step explanation:
There are a few ways to look at this.
Starting with the easier way, we see that 9/8 is a fraction above one (this is when the numerator is greater than the denominator), while 6/10 is not, therefore 9/8 is the greater fraction.
Next, we can find the common denominator of the fractions. The least common multiple of 10 and 8 is 40. Now, we can multiply 6/10 by 4 (because 10 x 4 = 40) and 9/8 by 5 (because 8 x 5 = 40)
As a result, we get 24/40 and 45/40, and we can see that 45 is greater than 24.
Find the value of the variable
Answer:
q=8
Step-by-step explanation:
The ratio of sides from bigger to smaller is 1/2.
q=1/2(16)
q=8
Hope it helps!
Find the 23rd
term of the arithmetic sequence whose common difference is d=4 and whose first term is a = -15.
[tex] \mathsf{T_n = a + (n - 1)d}[/tex]
[tex] \to \mathsf{T_{23} = - 15+ (23 - 1)4}[/tex]
[tex] \to \mathsf{T_{23} = - 15+ (22)4}[/tex]
[tex] \to \mathsf{T_{23} = - 15+ 44}[/tex]
[tex] \to \mathsf{T_{23} = 29}[/tex]
BrainlyVIP -.- ✋
Answer:
a₂₃ = 73
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 15 and d = 4 , then
a₂₃ = - 15 + (22 × 4) = - 15 + 88 = 73
what is 72/-8 simplified.
If (-3, y) lies on the graph of y = 3-x, then y =
1/27
-27
27
Answer:
y = 6
Step-by-step explanation:
[] We can plug in our x value of -3, from the coordinate point, and solve for y.
y = 3 - x
y = 3 - (-3)
y = 3 + 3
y = 6
[] We can also graph the equation, and find the point where x = -3
-> See attached
I do not see this option in the answers you have provided, so either I miss interpreted something, or something else got messed up.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
Hello, the correct answer is, 27
Step-by-step explanation:
Substitute -3 into -x
We know that since they are both negatives, they cancel out. Therefore, you substitute 3 into y = 3^-x.
y = 3^3
y = 27