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.
#SPJ2
In a survey asking what is your favorite dessert, 15% of the students said their favorite dessert is candy. This means that 12 students said that candy was their favorite dessert. How many students were surveyed? (Hint you are trying to find the whole).
Answer:
80 students
Step-by-step explanation:
Ratios:
[tex]\frac{12}{x} =\frac{15}{100} \\\\15x=1200\\x=80[/tex]
Double check:
80(0.15) = 12
5) What is the median of the data? 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
O 22
O 43
O 5
O 21.9
Answer:
the answer is 22
Step-by-step explanation:
hoped I helped! i had messed up the first time lol
Which piecewise function is shown on the graph?
Answer:
Option A
Step-by-step explanation:
Just substitute each value of x in the graph to find the correct function.
When be graph the functions given, we find that option A is correct.
What is meant by to graph a function?To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point. Keep plugging in x-values to get coordinates to plot more points on the graph, and then you will see your graphed function once the dots are connected.
Using the graph,
For x < = -2, y = 5.
For -2 < x < 1, the function is a polynomial.
We have two options, either [tex]y = x^{2} -5\ or\ y = x^{2} +5[/tex]
The polynomial must have the point (0,-5) on it.
For [tex]y = x^{2} -5[/tex] , when x = 0, y = -5.
Hence, it is the correct option.
For x >= 1,
Using graph, we see that when y = 0, x lies between 3 and 4.
For equation, [tex]y = 2^{(x-2)} - 2\\[/tex], when y = 0, x = 3, so it is not correct.
For equation, [tex]y = 2^{(x-2)} - 3\\[/tex], when y = 0, x = 3.584, hence it is correct.
Learn more about graphing a function here
https://brainly.com/question/27757761
#SPJ2
During one month, a homeowner used 300 units of electricity and 120 units of gas for a total cost of $114.00. The next month, 290 units of electricity and 150 units of gas were used for a total cost of $115.30. Find the cost per unit of gas.
$_____
Answer:
$0.15Step-by-step explanation:
Cost of electricity = xCost of gas = yBased on the given, we have equations:
300x + 120y = 114290x + 150y = 115.30Multiply the first equation by 29 and the second one by 30, then subtract the first equation from the second:
30*(290x) - 29(300x) + 30(150y) - 29(120y) =30(115.3) - 29(114)4500y - 3480y = 1531020y = 153y = 153/1020y = 0.15The cost per unit of gas is $0.15
Lilian drove into a lorry park at 11 55
When she drove out of the lorry park she had to pay 9 euros
Can someone help? What’s the answer.
Answer:
The surface area of the red square is 180, and the surface area of the blue square is 328. So the full answer is 508.
Step-by-step explanation:
A = 2( width times length +height times length +height times width ) = 2(6 times 3 + 8 times 3 + 8 times 6)=180
A = 2(width times length + height times length + height times width) = 2(2 times 12 + 10 times 12 + 10 times 2) = 328
And 328 + 180 = 508.
Katy planted of the field with wheat and of
the field with potatoes. How much of the field
did she plant?
[tex]katy \: planted \: \frac{65}{72} of \: the \: field[/tex]
may this helps you
bye
Please Help me on this question
Answer:
yellow
Step-by-step explanation:
evaluate the following intervals
x^-4dx
Answer:
simplified:
[tex]\frac{d}{x^3}[/tex]
and Find the integral if that's what you also wanted:
[tex]-\frac{1}{3x^3} +3[/tex]
2 * blank equals 6.5
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
Plz give me brainllest
Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2
A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4
9514 1404 393
Answer:
B. x^4/4
Step-by-step explanation:
[tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Two painters can paint a room in 4 hours if they work together. The less experienced painter takes 3 hours more than the more experienced painter to finish the job. How long does it take for the less experienced painter to paint the room individually?
Plz help I need I don’t understand
Answer:
The answer is C because there is 11 negative numbers and 9 positive numbers so then 11 - 9 = 2
Answer:
D. -2Step-by-step explanation:
Sum of the white circles:
1*9 = 9Sum of black circles:
-1*11 = - 11Add up the two:
-11 + 9 = - 2Correct choice is D
2 in.
2 in.
2 in.
Fine the area
3 less than 2 times a number is the same as 2 more than 3 times the
number. Find the number.
Answer:
Let x=a number
2x-3=2+3x
p is an odd number.
Explain why p^2 +1 is always even number
Answer:
every odd number that squares up and add 2 will give an even answer
Answer:
see explanation
Step-by-step explanation:
Given that p is an odd number , then
p² is always an odd number
Adding 1 to an odd number gives an even number.
So p² + 1 is always even for p odd
2. Find 2 solutions to -X > 10
The two solutions of the inequality -X > 10 are -15 and -11
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve the inequality -X > 10, we need to isolate the variable X on one side of the inequality.
We can start by multiplying both sides of the inequality by -1 to get:
X < -10
This means that any value of X that is less than -10 will satisfy the inequality.
Therefore, two possible solutions to the inequality are:
X = -15 (since -15 is less than -10, the inequality -X > 10 is true)
X = -11 (since -11 is also less than -10, the inequality -X > 10 is true)
Note that there are infinitely many possible solutions to the inequality, since any value of X that is less than -10 will work.
Hence, the two solutions of the inequality -X > 10 are -15 and -11
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
x y
1 13
2 15
3 17
4 19
5 21
The table above represents what type of function?
A.
neither linear nor nonlinear
B.
linear
C.
linear and nonlinear
D.
nonlinear
Answer: Hewo, there! your answer is Below.
B.
linear Would be my answer because it's arranged in or extending along a straight or nearly straight line.
Step-by-step explanation:
Hope this helps!!
have a great day!!!]
-August-
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The numbers are blurry on the graph
Write this expression in simplest form.
Answer:
15x⁴
Step-by-step explanation:
Square root of 225 is 15.
hiii please help i’ll give brainliest:)
Answer:
Geographic Features of Ancient Greece
Step-by-step explanation:
Greece has all these attributes on the list
Answer:
Geographic Features of Ancient Greece
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzz give brain alist
Find the GCF of each pair of monomials.
48t, 60st
Answer:
The GCF is 12t
Step-by-step explanation:
Here, we want to calculate the greatest common factor of the given polynomials
To do this, we need to write each as the product of its prime factors
We have this as;
48t = 2 * 2 * 2 * 2 * 3 * t
60st = 2 * 2 * 3 * 5 * s * t
we then bring out pairs of similar terms
So the GCF would be;
2 * 2 * 3 * t = 12t
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.
dividing radicals
Simplify
[tex]\mathbb{ANSWER:}[/tex]
[tex]\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }[/tex]
[tex]\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }[/tex]
[tex]\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }[/tex]
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?
Answer:
x = 134
Step-by-step explanation:
Given that,
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.
We know that,
The sum of interior angles of a hexagon must equal 720 degrees.
So,
119+129+104+139 +95+x = 720
Where
x is the sixth angle
So,
586+x=720
x = 720-586
x = 134
So, the sixth angle is equal to 134.
Sal buys y pens and some pencils. He buys 10 more pencils than pens. How many pens and pencils does he buy
altogether?
Answer:
20
Step-by-step explanation:
HELP 15 POINTS
Write a rule for the nth term of the sequence. Then find a20 -
51,48,45,42
Answer:
45 because it is what I think
Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.
Answer:
If the value of the discriminant is equal to zero
If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
What is square root?The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.
So from the condition given in the question that:-
There would NOT be both a positive and a negative solution, when finding the square root.
So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.
= √0 = ± 0 = 0
Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
To know more about square roots follow
https://brainly.com/question/620307
#SPJ2
Classify this angle. I need this urgently please! Thank you!
The Answer Is Acute
The angle hasn't reached the point of a right angle (90°), which makes it a acute angle.
A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.
Answer: 3.57 years
Step-by-step explanation:
Based on the question given, the interest is the difference between the amount and the principal which will be:
= $19800 - $16800
= $3000
The formula for Simple interest is given as:
Interest = Principal × Rate × Time
3000 = 16800 × 5% × Time
3000 = 16800 × 0.05 × Time
3000 = 840 × Time
Time = 3000 / 840
Time = 3.57
The time taken to grow the investment is 3.57 years