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.
To learn more about the function visit:
https://brainly.com/question/28303908.
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A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with the current as it does to travel 2 miles against the current. What is the current's rate in mph?
Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
Consider this right triangle...
Omg pleaseeeee help me!! I have SBA Math Test on Friday and I forgot everything I learned last year from Geo. Help would be very very much appreciated!! WILL GIVE BRAINLIEST!! Thank you so muchhhhh <3
Answer:
33°
Step-by-step explanation:
have a nice day!! :)
If x = 15 units and h = 4 units, then what is the area of the triangle shown above?
A. 8 square units
B. 30 square units
C. 60 square units
D. 90 square units
Answer: B. 30 square units
Step-by-step explanation:
Area of triangle formula is base x height divided by 2 so we do 15 * 4 = 60/2 = 30 units
WHAT IS THE MEDIAN pls help
Answer:
63
Step-by-step explanation:
If you put them from least to greatest order you cross out from both ends until you get to the middle, in that case I got to the middle in between 63 and 63 so you can go in between them so your answer is 63
Yani buys 4 dozen flyers for $7.25. What is
the cost of 12 dozen?
helppp now plz
Answer:
$21.75
Step-by-step explanation:
Divide $7.25 by 4 then multiply what you get from that by 12
Item 3 RectangleABCD has vertices A(1, 2), B(4, 2), C(1, −2), and D(4, −2). A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (24, 12)? A′ B′ C′ D′
Answer:
B
Step-by-step explanation:
I'm pretty sure its b because its ratio matches the (4,2)
Answer:
B'
Step-by-step explanation:
Write 11 x 11 x 11 x 11 x 11 x y X y X y in
exponential form.
11 × 11 × 11 × 11 × 11 × y × y × y = 11⁵y³
Or, if you meant
11 × 11 × 11 × 11 × 11 × y X y X y = 11⁵X²y³
A painter needs to buy a ladder in order to paint a wall that is 18 feet high. In order to ensure the ladder does not fall it needs to be placed 3 feet away from the wall. What size ladder does the painter need to buy to ensure that he will be able to paint the highest point of the wall? Write your answer rounded to the ncarest tenth.
Answer:
222! thats your answer!
Step-by-step explanation:
A zoo keeper used 15 bags of acacia leaves to feed the giraffes and 8 bags of eucalyptus leaves to feed the koalas. Write a ratio that compares the number of bags of acacia leaves to the number of bags of eucalyptus leaves.
Answer: 15:8
Step-by-step explanation:
Acacia leaves= 15 bags
Eucalyptus leaves=8 bags
A ratio compares two amounts and uses a :
We are comparing acacia leaves bags to eucalyptus leaves bags
So-
15:8
We cannot simplify any more, so keep 15:8.
Que números son divisibles entre 5 y 10 a la vez
Answer:
5
Step-by-step explanation:
a) If there were 3 elephants at the zoo, how many hippos would there be?
Answer:
3 as well lol?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
HELP, I can't figure out the first question
Answer choice for first question
1. linearly
2.quadratically
3.exponentially
REPOST!!!!!! 20 POINTS!!!!!!
A, B, and C are points of tangency in the given Circle, a m equals 6, BK equals 4 in the perimeter of mkn is 34
Answer:
A
Step-by-step explanation:
according to tangent property
we get
AM=BMAN=CNBK=CKGiven that
AM=6BK=4Thus our equation is
[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]
substitute the given values
[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]
simplify multiplication:
[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]
simplify addition:
[tex] \rm \displaystyle 2AN+ 20= 34[/tex]
cancel 20 from both sides:
[tex] \rm \displaystyle 2AN=14[/tex]
divide both sides by 2:
[tex] \rm \displaystyle AN=7[/tex]
AN=CN
hence,CN=7
therefore our answer is A
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Tori hosts a podcast about computers, and Wendy hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Tori released 40 episodes and Wendy released 16 episodes, for a total of 5,584 minutes of content. This year, Tori released 27 episodes and Wendy released 11 episodes, which lasted a total of 3,795 minutes. How long is each episode? Each episode of Tori's podcast is minutes long, and each episode of Wendy's podcast is minutes long.
Answer:
x = minutes of Tori's podcast = 88 minutes
y = minutes of Wendy's podcast = 129 minutes
Step-by-step explanation:
Let
x = minutes of Tori's podcast
y = minutes of Wendy's podcast
40x + 16y = 5,584 (1)
27x + 11y = 3,795 (2)
Multiply (1) by 11 and (2) by 16
440x + 176y = 61,424 (3)
432x + 176y = 60,720 (4)
Subtract (4) from (3) to eliminate y
440x - 432x = 61,424 - 60,720
8x = 704
x = 704/8
x = 88
Substitute x = 88 into (1)
40x + 16y = 5,584 (1)
40(88) + 16y = 5,584
3,520 + 16y = 5,584
16y = 5,584 - 3,520
16y = 2,064
y = 2,064/16
y = 129
x = minutes of Tori's podcast = 88 minutes
y = minutes of Wendy's podcast = 129 minutes
mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall
Answer:
no
Step-by-step explanation:
9x12=108
108 square feet so not enough paint.
needs more paint that covers 4 square feet
Simplificación de la raíz cuadrada de 50
Answer: 5√2
Step-by-step explanation:√50--->√2*√25
√25--->5
5*√2=5√2
5
3х - 10
15. х - 3x —
10
x-(3x -
3
Answer:
3 - 151 x
Step-by-step explanation:
d/dx(5×3 x - 10×15 x - 3 x - 10 x - (3 x - 3)) = -151
Indefinite integral:
integral(3 - 151 x) dx = 3 x - 75.5 x^2 + constant
Definite integral after subtraction of diverging parts:
integral_0^∞ ((3 - 151 x) - (3 - 151 x)) dx = 0
What is the largest two-digit number that is a multiple of 21?
Answer:
84
Step-by-step explanation:
What is the area of this trapiziod
Answer:
30 in²
Step-by-step explanation:
A=(b1+b2)h/2
A=(10+5)4/2
A=(15)4/2
A=60/2
A=30 in²
Answer:
Hello! I believe its 30
Triangle to the left I did 4 x 3 = 12 ÷ 2 =6
Triangle to the right I did 2 x 4 = 8 ÷ 2 = 4
Then I did square in the middle so 5 x 4 = 20
Now i add these up 20 + 6 + 4 = 30
Hope this helps!
If two sides of a triangle measure 4 cm and 6 cm what could be the measure of the third side? A. 9 B. 10 C. 11 D. 12
Answer:
A. 9
Step-by-step explanation:
Triangle Inequality: the lengths of any two sides of a triangle add up to more than the third side.
B. 10 can't be the answer because the 4 cm and 6 cm sides would just meet at a point on the 10 cm sides.
C. 11 and D. 12 can't be answers because the 4 cm and 6 cm sides would not meet (kind of like windshield wipers that are too short).
15 points, needs to be done ASAP! Any joking around will lead to a report.
Answer: The mean is 6.
Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.
Answer:
6.
Step-by-step explanation:
First you take the data on the dot plot, and write the numbers down from least to greatest.
The data set:
2,3,6,6,7,8,8,8
Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.
2+3+6+6+7+8+8+8=48
Next we count all the number in the data set we made.
2,3,6,6,6,7,8,8,8 = 8
The amount of numbers in this data is 8.
Lastly we then divide 48 by 8.
48/8= 6
So your answer is 6!
The quantity indicated is...........
Your question of the day
What makes a good student? Explain? Why?
Answer:
a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.
Reenu got 2/ 7 part of an apple while Sonal got 4/5 part of it. Who got the larger part and by how much?
How to solve this equation?
It says use the substitution method, so you would take the bottom equation, and since it says that x is equal to that, you would use that equation in place of the x in the top equation. so it would be 9y = 3(3y+3) - 9. You then distribute the 3 into the 3y +3, which gets you 9y = 9y + 9 - 9, which is also 9y=9y. Subtract 9y to get 0 = 0, which just means that there are infinite solutions to this equation. Whenever you get 0 = 0, all that means is that there are infinite solutions to this particular set of equations. Hope this helped!
Answer:
y=y
x=3y+3
Step-by-step explanation:
[tex]\left \{ {{9y=3x-9} \atop {x=3y+3}} \right.[/tex]
[tex]9y=3x-9[/tex]
Plug the second equation [tex]x=3y+3[/tex] into the above equation as x
[tex]9y=3(3y+3)-9[/tex]
Open up the brackets
[tex]9y=3(3y+3)-9\\9y=9y+9-9\\9y=9y\\y=y[/tex]
This system of equations has infinitely many solutions.
When graphed, the two lines will overlap each other.
Therefore, y=y and x=3y+3.
I hope this helps!
Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for TT.
4.9 ft.
7 8 ft
A. 38.2 ft2
B. 75.4 ft2
C. 286.2 ft?
D. 390.8 ft2
The length of a football field is 120 yards from one and one to the other end zone.
Answer:
To solve, you need to use Pythagorean Theorum
a^2+b^2=c^2
100^2+53.33^2 = c^2
10,000+2844.0889=c^2
12844.1=c^2
square root
= 113 1/3 yards
So it is less than 120 yards
Step-by-step explanation:
Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.
i think this is what your looking for?!
There were x cupcakes at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cupcakes that were left.
Answer: x - 16
Step-by-step explanation:
Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:
= x - 16
For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:
= x - 16
= 20 - 16.
= 4
There'll be 4 left
Help is this correct??
Answer:
if the cubes were hidden, but I belive the answer is none
Step-by-step explanation:
Answer:
Yes it is B when looking at it from top view thats what it comes out to look like great job.
I need an answer! NO LINKS! PLS ill give brainlist!