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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Help due in 10 minutes
Answer:
II and III are right
Step-by-step explanation:
The reason I is wrong is the zeros are (-2, 0) and (4, 0)
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
Which fractions are equivalent to the fraction below? Check all that apply.
9/21
A.3/22
B.18/42
C.3/7
D.3/28
30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer
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.
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.
Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5
Simplify A:
2(x+3)-2
Use distributive property:
2x+6-2
Combine like terms:
2x+4
This is the same as B.
A and B are equivalent.
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:
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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Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?
A. $5.00
B. –$1.33
C. $3.00
D. –$3.00
Answer:
I would say D
Step-by-step explanation:
I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
Using Angle Relationships to Solve Equations
Answer:
8. x=19
9. 42
10. 23
Step-by-step explanation:
8.
x+x+4+3x-9 =90
5x-5=90
x= 19
9.
x=19
x+4= 23
19+23=42
10.
x+4=23
36^x-2=6 solve for x
Answer:
x = [tex]\frac{in (8)}{in (36)}[/tex] if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.
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^2Show 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:
Please help me ASAP!!
Answer:
n = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
you can create this proportion:
18/n = n/6
cross-multiply:
n² = 108
n = [tex]\sqrt{108}[/tex]
[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]
Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x
a Binomial is 2 terms
so the solution is
A
B
E
Answer:
A, B, and E
Step-by-step explanation:
Binomials are equations that consist of two terms.
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:
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:
Help plz need answers less than 10 minutes
Answer:
the answer wouldbe 8585434930.123
Step-by-step explanation:
A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *
Answer:
2m = x
x being the number of tables
Step-by-step explanation:
2 tables = 1 minute
x tables = m
(cross multiply)
2m = x
x being the number of tables
What is0.4¯ expressed as a fraction in simplest form?
Answer:
4 as a fraction is 2/5. Here you can submit another decimal number for us to convert to a fraction. Check out the next decimal number on our list that we converted to a fraction.
Step-by-step explanation:
pls mark me brainless to feed my frogs
Answer:
2/5
Step-by-step explanation:
The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm(squares)
Find the length of AB
Find the value of x and then perimeter
Answer:
×= 4 and the perimeter is 18
Step-by-step explanation:
(x+3)(x-2)=14
x^2+x-6=14
x^2+x-20=0
(x+5)(x-4)=0
x=4
perimeter = 7(2)+2(2)=18
Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?
Answer:
25 ≤ 2.5n
Step-by-step explanation:
Total budgeted amount = $25
Cost per pack of = $2.50
To represent the relationship using inequality :
Let the Total number of packs purchased = n
Hence,
Total budgeted amount ≤ (cost per pack * number of packs)
25 ≤ 2.5n
This means the total actual purchase made should be less than or equal to the budgeted amount.
Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1
Answer:
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Step-by-step explanation:
Sea una recta:
f(x) = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:
g(x) = a*x + c
Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)
Entonces podemos escribir la línea perpendicular a f(x) como:
h(x) = -(1/a)*x + c
Ahora veamos nuestras líneas:
A(x) = y = −3*x+5
B(x) = y = x/3+2 = (1/3)*x + 2
C(x) = y = -3*x + 1
Primero veamos cuáles son paralelas:
A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces A y C son paralelas.
Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:
-(1/-3) = 1/3
Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss
Answer:
Complementary angles sum to 90°
x + 73° = 90°x = 90° - 73°x = 17° help me please
:)
i really need it
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
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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A television newscaster from a 24-hour news station wants to estimate the number of hours per day its viewers watch
programming on this channel
. The neviscaster randomly selects 100 viewers and asks them how many hours per day
they watch this station. The newscaster constructs an 85% confidence interval for the true mean number of hours
viewers watch this station. Which of the following would decrease the margin of error?
Answer:
This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.
Step-by-step explanation:
