Answer:
the answer is what you think it is fam on foenem
Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft
High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given trigonometric function is y=23-5cos(πt/6).
The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.
To find the high and low tide depths, we need to find the maximum and minimum values of y.
The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.
The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.
To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.
When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.
When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.
Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.
Therefore, option B is the correct answer.
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im quite behind and i dont know how to do this.. thank you
Answer:
455 ( I think )
Step-by-step explanation:
Lets start with the red shape.
The triangle on top is 5x3, and the equation for a triangle is base•height•1/2
So each triangle equals 7.5, as 15/2=7.5. Remember there are 2 triangles so the total of both triangles is 15.
The front side of the red shape is 6x5, which equals 30.
Same with the back.
The side though, is 3x6, which equals 18.
So 15 (both triangles)+60 (the front and back of the shape)+18 (the side)= 93
The red shape is 93 inches cubed.
The green shape is a rectangular prism.
The sides, are both 3x7, which equals 21. Remember there are 2 sides so together they equal 42.
The next part is 3x16= 48. There are 2 of these so it equals 96.
The top and bottom is 7x16=112, which is 224.
42 (sides) + 96 (front and back) + 224 (top and bottom)= 362
The green shape is 362 inches cubed.
362+93=455 inches cubed as a total
(I think)
5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.
Answer:
B
Step-by-step explanation:
75 divided by 3 = 25
so 25 dollars each day
Answer:
B. 25/1 dollars per day; the cost is $25 for each day.
Step-by-step explanation:
8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.
Answer:
3077.68
Step-by-step explanation:
the Area of the regular decagon is 3077.68
The area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -
V = ∫∫F(x, y) dx dy
Given is a regular decagon with length of each side is 20 units
The area of the regular decagon is -
A = (5/2)a²√(5 + 2√5)
We have {a} = 20. So, we can write that -
A = (5/2)(20)²√(5 + 2√5)
A = (5/2) x 400 x √(5 + 2√5)
A = 5 x 200 x √(5 + 2√5)
A = 1000√(5 + 2√5)
Therefore, the area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
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What is the absolute maximum or minimum of f(x) = 3x^2-5x-9
Answer:
Absolute minimum / vertex = (5/6,-133/12)
Step-by-step explanation:
Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)
Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Answer:
You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing. The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate
Step-by-step explanation:
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?
Answer:
4.2
Step-by-step explanation:
took a bullet for the team
Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.
from the formula of compound interest
A = P(1 + r/n) ^nt
in our case,
A =670
P = 480
t = 8
Thus,
670 = 480(1 + r)^8
r = 4.25%
Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670
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) Factorize fully
1. 2x^2yz-32x^2y^3z
Answer:
2x²yz(1 - 4y)(1 + 4y)
Step-by-step explanation:
Given
2x²yz - 32x²y³z ← factor out 2x²yz from each term
= 2x²yz(1 - 16y²) ← difference of squares
= 2x²yz(1 - 4y)(1 + 4y)
Find the area of this shape
Answer:
433 m²
Step-by-step explanation:
Find the side length of the square first.
Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.
[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]
=[tex] \sqrt{51.84} [/tex]
= 7.2 m
Therefore the side of the square is
7.2 ×2
= 14.4 m
The area of the square
= 14.4²
= 207.36 m²
You are able to find the area if of the 2 triangles.
(7.2 × 9.6)÷2 ×2
= 69.12 m²
The height of the pentagon
= 25.4 - 7.2
= 18.2 m
The area of the pentagon
= (10+7.2) × 18.2 ÷ 2
= 156.52 m²
Add up the areas of the 3 polygons.
The area of the shape
= 207.36 + 69.12 + 156.52
= 433 m²
Find each value. ORDER MATTERS!
a) P(12, 5) *read as 12 items being taken 5 at a time*
=?
b) P(8, 8)
=?
(HINT: Think 8 x 7 x 6 x 5....etc.)
Answer:
P(12, 5) = 95040
P(8,8) = 40320
Find the lateral surface area of the prism. 1.5ft 3ft 4ft
Answer:
ammmm walang lumabas
Step-by-step explanation:
sorry talaga po sa susunod nalang
What is the definition of the slope of a line?
Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?
Answer:
the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it
Step-by-step explanation:
Answer:
84 miles
Step-by-step explanation:
Plz help i have been asking this question too much
Answer:
6
Step-by-step explanation:
1/6 of 36 is 6
2/3 of 36 is 24
6+24=30
36-30=6
<3
Answer:
if u search your question on brainly you'll see alot of answers! here is one of them!!!
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.
Answer:
112.3
Step-by-step explanation:
The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm(squares)
Find the length of AB
Hi guys please help me out I would appreciate it thank you so much
Answer:
D) Angle VUX
Step-by-step explanation:
7/6 written as a mixed number
Answer:
1 1/6
Step-by-step explanation:
A mixed number is a proper fraction.
Answer:
[tex]1\frac{1}{6}[/tex]
Step-by-step explanation:
We are given the fraction of [tex]\frac{7}{6}[/tex].
There are enough parts to make one whole, with one remaining.
Six sixths for the whole, the fraction would be one-sixth.
[tex]\frac{7}{6}=1\frac{1}{6}[/tex]
Hope this helps.
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.help and pls get it right
Answer:
V= 32Step-by-step explanation:
Multiply all lengths and the answer will be your volume.
2 x 2 x 8 = 32
Answer:
32 in ^3
Step-by-step explanation:
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
See below.
Step-by-step explanation:
The formula for the volume of a sphere
= 4/3 π r^3 where r = the radius.
So for number 1:
V = 4/3 π (5)^3
= 523 .60 mm^3 to nearest hundredth.
The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4, r = 30/2 = 15.
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
Help plz need answers less than 10 minutes
Answer:
the answer wouldbe 8585434930.123
Step-by-step explanation:
A pizza with a diameter of 13 inches is cu to to 12 equal slices.
Jayden 44.2433333 inches squared
Carson 55.3041665 inches squared
Step-by-step explanation:
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2Help me please please please please
pi is 3.15 so I think its pi time radius to get the area which is 3.15 times 9. that equals to 28.35
Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.
If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???
Answer:
36 games won ...............
Answer:
y=1.06x-6
36
Step-by-step explanation:
what is summer academy help fr fr ☝️
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
70/5.2 + 16-1 helppppp
Answer:
28.4615384615
28.46
Step-by-step explanation:
Answer:
28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.
Step-by-step explanation: