The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A buoy starts at a height of 0 in relation to sea level and then goes up.
Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.
Then we have
[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]
The maximum displacement of the buoy in either direction is 6 ft, then we have
[tex]h=6 \times \sin \omega t[/tex]
The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.
Then we have
[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]
Then the h will be given as
[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]
More about the function link is given below.
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find side x using sine rule
Answer:
x = 10.76 cm
Step-by-step explanation:
[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]
[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]
Hope this helps
NEED HELP!! THX! please answer part b, I already have part a.
Answer:
See below ~
Step-by-step explanation:
3.25% is the interest rate, meaning it won't be constant, but a coefficient of the function$15,000 is a constant as the interest gets added to itThe function can be written as :
aₙ₊₁ = 0.325aₙ + 1500050 = 3x+14 solve for x
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution :
[tex]\qquad \sf \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]
[tex]\qquad \sf \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]
[tex]\qquad \sf \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]
The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list
gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and
standard deviation of the data set. Then sketch a normal curve to represent the distribution.
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
The standard deviation of the dataset is the square root of the variance
The mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
How to determine the mean?The dataset is given as;
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
Calculate the mean using:
μ = Sum/Count
So, we have:
μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10
Evaluate
μ = 24.6
How to determine the standard deviation?The standard deviation is then calculated using:
[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]
Evaluate
[tex]\sigma = \sqrt{32.44}[/tex]
Evaluate the square root
[tex]\sigma = 5.70[/tex]
Hence, the mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
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Kendrick wants to write the number .000065 in scientific notation. What exponent should he use for the power of 10?
What is the difference between 1.1 and 1.10
Answer:
They are the same.
Step-by-step explanation:
1.1 and 1.10 are both the same, actually. There is just an extra 0 at the end. For example, 2 and 2.0 are the same, because 0 is 0, and it doesn't change your answer. The 0 could go on as in 1.100000000 but it will still equal 1.1 .
Hope this helped :)
Please help, I don't understand. I wish you all good luck :)
Answer:
83.6
Step-by-step explanation:
just use your calculator
Answer:
83.6
Step-by-step explanation:
It's simple, just type it in the calculator and you'll get the answer
For each ordered pair determine whether it is a solution to Y= -8
Ordered pairs:
(-8,2)
(1,9)
(4,-8)
(0,-3)
Answer:
(4,-8) is the only correct solution because it is the only one to have a Y value of -8
1. What is the of the combined rectangles below?
Answer:
please where's the diagram
The list of all ordered pairs in the given relation R on the set T is (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).
Answer:
1,1. 4,4. 5,5 and. 6,6
Step-by-step explanation:
Because they are all the same numbers :)
If each vowel in the word COLLEGE substitutes with the next letter of the English alphabetical series and each constant is substituted with the 2nd letter preceding it. How many vowels are present in the new arrangement? Fast plsssssssssssss with steps....
Answer:
2
Step-by-step explanation:
Following the substitution rules:
O becomes P and
E becomes F
because they are vowels(a,e,i,o,u) change to next letter.
C becomes A
L becomes J
G becomes E
because constants change to the letter two before the given letter.
So COLLEGE becomes APJJFEF
so it now has 2 vowels.
Please help with algebra
Answer:
54%
Step-by-step explanation:
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
pls help me with this i will make you brainiest
1. - 3p^3 + 7p^2 - 3
2. 5a^3 - 5a^2
3. 6 + 7n^3
4. - 6n^3
5. a^2 + 2r^4
6. 9r^3 + 2r^4
7. 1
8. 6x^4 - 6x
9. - 7k^4 - 11k^2 + 6
10. 2n^5 - 2n^4 + 3n + 3
11. 14a^5 + 14a^4 - 10a^3 - 16a
12. - 14n^4 - 7n^2 + 8n + 7
13. 18x^5 + 6x^4 + 12x^3
14. 7r^3 - 3r^2 + 20r
15. 8n - 8n^4
16. - 2x^5 + 10x^4 + 5x + 14
17. 4x^5 - 15x^3 - 11x - 1
18. 5a^5 + 23a^2 - 11a
19. 15v^5 + 4v^3 - 24v^2
20. 2b^4 + 15b^3 - 3
PLEASE HELP ANSWER
I will give 20 points
1. Convert 8cm³ into m³
2. Convert 0.7m³ into cm³
3. Convert 4000000cm³ into m³
1. Convert 8cm³ into m³
= 8.0E-6 m³
(divide the volume value by 1e+6)
2. Convert 0.7m³ into cm³
= 700000 cm³
(multiply the volume value by 1e+6)
3. Convert 4000000cm³ into m³
= 4 m³
(divide the volume value by 1e+6)
(WILL GIVE BRAINLIEST TO CORRECT ANSWER)
Below is a table showing the maximum distance over time that an Adélie penguin can walk.
The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t
A. Which penguin species has a faster maximum walking speed? Show your work.
B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work
Answer:The penguin will walk 75.15 feet in 45 seconds.
It will take the penguin 26.95 seconds to walk 45 feet.
Through cross multiplication we can determine the unknown quantity we need
Step-by-step explanation:
Which of the following are prime factors of both 24 and 42? Select all that apply.
Answer:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
Answer:
2 and 3
Step-by-step explanation:
prime factors for 42: 2, 3, and 7
prime factors for 24: 2,2,2 and 3
A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?
Answer:
the chances are most likely going to be 50/50
Step-by-step explanation:
50
50
Answer: 1/5
Step-by-step explanation:
Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answer:
After 3 years, Dakota will have $674.09 total.
What is 2x+3+8x=3x+9x+7
Answer:
x=-2
Step-by-step explanation:
Hey there!
In order to solve this equation, you need to combine like terms
The equation after combining the x terms and the contants will look like this
10x+3=12x+7
Now you have to take 10x away from both sides
3=2x+7
Now bring all the constants to the left side
3-7=2x
Simplify
-4=2x
divide 2 on both sides to get x by itself
x=-2
So, the answer is x=-2
what is. the solution to this equation: 6r=33
Answer:
5.5
Step-by-step explanation:
6 x 5.5 = 33
The solution for r is 5.5
Answer:
r = 5.5
Step-by-step explanation:
6r=33
1. divide both sides by 6
6/6=1
33/6= 5.5
2. r=5.5
..............................................................
Answer:
yes
Step-by-step explanation:
yes
The sum of two numbers are 21the second number is six times the first numberwhat are the two numbers
Answer:
3+18=21
Step-by-step explanation:
first see the second number
let us assume as x & y
3+ (3×6)= 21
3+18=21Step-by-step explanation:
Answer:
3+18
Step-by-step explanation:
3x6 is 18, so 18 is 6 times the first number. If you add 3 and 18, its equal to 21.
how many degrees is 17/9 of a semicircle
Answer:
340°
Step-by-step explanation:
To convert radians to degrees, multiply by [tex]\frac{180}{\pi }[/tex] since a full circle is 360° or
2[tex]\pi[/tex] radians.
[tex](\frac{17}{\pi } )[/tex] x [tex]\frac{180}{\pi }[/tex]
Factor [tex]\pi[/tex] out 0f 17[tex]\pi[/tex]
[tex]\frac{\pi (17)}{9}[/tex] x [tex]\frac{180}{\pi }[/tex]
Cancel the common factor "[tex]\pi[/tex]"
Rewrite the expression as:
[tex]\frac{17}{9}[/tex] x 180
Factor 9 out of 180.
[tex]\frac{17}{9}[/tex] x(9(20))
Cancel out the common factor "9"
Rewrite the expression as:
17 x 20
=340°
Will give brainliest thanks so much!!!
Answer:
76.6%
Step-by-step explanation:
345/450 * 100%
I hope it helps and sorry if I'm wrong
Find the exact area of the shaded region.
Answer:
33
Step-by-step explanation:
area of large triangle = 117
117-(30)-(12*5/2)-(8*6/2)
= 33
The exact area of the shaded region is 33 units²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given is a figure, we need to find the area of the shaded region.
For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,
The area of the big triangle = 1/2 x 18 x 13 = 117 units²
The area of the two small triangles =
1/2 x 6 x 8 = 24 units²
and
1/2 x 12 x 5 = 30 units²
Now, the area of the square = 5 x 6 = 30 units²
The area of the shaded region = 117-(24+30+30) = 33 units²
Hence, the exact area of the shaded region is 33 units²
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Please help with this and how to solve it.
Answer:
angle HMS = 62 degrees
x = 13 degrees
AT = 28
Step-by-step explanation:
angle SHM and angle HMS are both inside the triangle SMH.
We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.
Angle SHM = 28 (given)
Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)
Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)
x + 90 + 28 = 180
x = 62 ddegrees
HMS is 62 degrees
TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.
10x - 40 = 90
10x = 130
x = 13 degrees
AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other. HT is congruent to AT while HM is congruent to AM.
So,
8x - 4 = 2x + 20
Subtraact 2 x from both sides
6x - 4 = 20
Add 4 to both sides
6x = 24
Divide 6 on both sides.
x = 4
Plug x back to AT.
AT = 2(4) + 20 = 28
on a linear graph, the rate of change is called the ____ of a line
Answer:
On a linear graph, the rate of change is called the slope of a line
Step-by-step explanation:
Hope this helps
The complete statement is, on a linear graph, the rate of change is called the slope of a line.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the above concepts we now know that, on a linear graph, the rate of change is called the slope of a line.
It can also be defined as, (y₂ - y₁)/(x₂ - x₁).
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