Answer:
The answer is the equation for the function describing the movement of the buoy:
f(x) = 5 * sin(2 * pi * x / 16) + 8
Step-by-step explanation:
To graph the function, we need to find an equation that describes the buoy's movement. Since the buoy bobs up and down 5 meters from the ocean's depth, we can use the sine function. The amplitude of the function is 5, since the buoy moves 5 meters from the normal ocean depth. The period of the function is 16 seconds, since it takes 16 seconds for the buoy to go from its highest point to its lowest point.
Using this information, we can write the equation for the function as:
f(x) = 5 * sin(2 * pi * x / 16) + 8
where x is the time in seconds.
The first point on the graph would be (0, 8), since at x = 0 the buoy is at normal ocean depth. The second point would be either a maximum or minimum value on the graph closest to x = 0, which can be found by finding the derivative of the function and setting it equal to zero.
The graph of the function would look like a wave that oscillates up and down, with a maximum value of 5 meters above the normal ocean depth and a minimum value of 3 meters below the normal ocean depth.
isiaiisjjajsihajaihaiahshushsu a habja uahabja ha ha a ha ha Janna j Jabjaban an aka. na a ha ha ha ha a ja aja naja ha. ha aub ah ah ah ha ahahaha a ahba ahbahabhaba babav aha ha ha answer a
hey! please help i’ll give brainliest
Answer:
either c or b
Step-by-step explanation:
im so sorry im also stuck but im more leaning towards near future but im not sure! i hope that the process of elimination helped a bit at least
Answer:
In the near future.
Step-by-step explanation:
In the past it would have said was etc..
Right now, it would say "it just started"
In the far future it would have said in a few days or so.
A married couple makes a combined $100,000 a year. This means their income will be taxed about 25%. How much money will they be left with after taxes are taken out of their paychecks?
Group of answer choices
$25,000
$50,000
$75,000
Answer:
$75,000
Step-by-step explanation:
$100,000 x 0.25 = $25,000
$100,000 - $25,000 = $75,000
Find the value of x
Answer: 35
Step-by-step explanation:
3x + 15 = 2x + 50
3x = 2x + 35
x = 35
Answer:
x = 35
Step-by-step explanation:
Angle AED and Angle CEB are the same since they are congruent.
We can write an equation and solve.
3x + 15 = 2x + 50
3x = 2x + 35
x = 35
Best of Luck!
If you invest $1500 in at an interest rate of 7% for 5 years and the interest is compounded quarterly, how much money will you have after the 5 years? Round your answer to the nearest cent.
Answer:
$2122.17 (correct to the nearest cent).
Explanation:
To find the amount after 5 years, we use the compound interest formula below:
\(\begin{gathered} A=P(1+\frac{i}{k})^{nk} \\ \text{Principal, P}=1500 \\ Interest\text{ Rate, i =7\%} \\ \text{Period, k=4 (Quarterly)} \\ \text{Number of years, n=5} \end{gathered}\)Substitute the given values:
\(\begin{gathered} A=1500(1+\frac{0.07}{4})^{4\times5} \\ =1500(1+0.0175)^{20} \\ =1500(1.0175)^{20} \\ =\$2122.17 \end{gathered}\)After 5 years, you will have $2122.17 (correct to the nearest cent).
Graph AABC and its image after a rotation 90° about the origin.
A
-4
Ay
4
B
IN
C
4x
HELP PLSSSS
Answer:
Step-by-step explanation:
The question as worded on your screen is incomplete and confusing. The reason is that it does not specify whether it should be a counterclockwise or a clockwise rotation.
The image changes depending on which direction the rotation is
I have provided the original triangle ABC(in brown), its image after 90° rotation counterclockwise A'B'C'(in blue) and also another image A"B"C"(in green) which is a clockwise rotation by 90°)
Depending on what your teacher has taught about rotation when no direction specified, choose the right on
I would go first with the counterclockwise rotation image A'B'C'
Hope that helps
Approximately what proportion of commute times were greater than 22 min? (round your answer to two decimal places. )
The proportion of commute times that were greater than 22 minutes would be approximately 25.34%.
Determine proportion of commute timesThe proportion of commute times that were greater than 22 minutes can be calculated by dividing the number of commute times that were greater than 22 minutes by the total number of commute times.
To do this, you would first need to determine the number of commute times that were greater than 22 minutes. You can do this by counting the number of times that were greater than 22 minutes in the data set.
Once you have the number of commute times that were greater than 22 minutes, you would then divide this number by the total number of commute times in the data set.
This will give you the proportion of commute times that were greater than 22 minutes. To round your answer to two decimal places, you would multiply the proportion by 100 and then round to the nearest hundredth.
For example, if the proportion of commute times that were greater than 22 minutes was 0.2534, you would multiply this by 100 to get 25.34 and then round to the nearest hundredth to get 25.34%.
Therefore, the proportion of commute times that were greater than 22 minutes would be approximately 25.34%.
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you are buying decorations for a birthday party. the before tax total for 3 rolls of crepe paper and 20 balloons is $11.40. after you start decorating, you need more supplies. you buy 2 more rolls of crepe paper and 10 more balloons for $7.20 before tax. how much did each cost?
please help with an explanation.
Answer & Step-by-step explanation:
Let's have
C = Creepers
B = Balloons
1) 6C + 20B = 11.9
2) 2C + 15B = 6.05
Eliminate
16C + 20B = 11.9 x3
-2C + 15B = 6.05 x4
18C + 60B = 35.7
-8C + 60B = 24.2
10C/10 = 11.5/10
C = 1.15
Someone please help me with this question and explain to me how to solve it
Answer:
Okay so x greater then or equal to 7
To plot ask yourself:
Open or Closed Circle:
Open->, <
Closed-Greater then or equal to or less then or equal to
Also ask:
am i ploting to the left or to the right
Step-by-step explanation:
It is going to be a closed circle, since it is greater then or equal too
And you cand use the sign so it is going to go to the left <------ (that way)
You can use the sign to guied you ex: x>5 you are going to the right ---->
Also, for this topic just know if the equation is like this: 3>x
MAKE SURE TO SWICH IT TO THIS:
x<3
YOU HAVE TO SWITCH THE EQUATION AROUND AND THE SIGN
I hope this helped! :D
!!20 Points and brainliest if you answer it!!
A group of students were surveyed regarding their enjoyment of country and Jazz music. 8 students enjoyed both types of music, glving a total of 32 students who enjoyed country music, and 14 who enjoyed Jazz. How many total students were questioned in this survey?
A. 54
B. 38
C. 26
D. 46
Answer:
46
Step-by-step explanation:
Answer:
D is correct
Step-by-step explanation:
Cindy has 2 boxes of pencils. Patrice has 5 boxes of pencils. simplified
Answer:
2+5=7
Step-by-step explanation:
eg.1 box has 15 pencils which means cindy have 30 pencils and patrice have 75
One fifth of r is 15 how would I write that in an equation
Answe1/5 of r = 15
Step-by-step explanation:
1/5 r=
Criticize the following in terms of the rules for definition by genus and difference. After identifying the difficulty (or difficulties), state the rule (or rules) that are being violated. If the definition is either too narrow or too broad, explain why.
12. A raincoat is an outer garment of plastic that repels water.
13. A hazard is anything that is dangerous.
—Safety with Beef Cattle, U.S. Occupational Safety and Health Administration, 1976
14. To sneeze [is] to emit wind audibly by the nose.
—Samuel Johnson, Dictionary, 1814
15. A bore is a person who talks when you want him to listen.
—Ambrose Bierce, 1906
In the given definitions, there are several difficulties and violations of the rules for definition by genus and difference. These include ambiguity, lack of specificity, and the inclusion of irrelevant information.
The rules being violated include the requirement for clear and concise definitions, inclusion of essential characteristics, and avoiding irrelevant or subjective statements.
12. The definition of a raincoat as an outer garment of plastic that repels water is too broad. It lacks specificity regarding the material and construction of the raincoat, as not all raincoats are made of plastic. Additionally, the use of "outer garment" is subjective and does not provide a clear distinction from other types of clothing.
13. The definition of a hazard as anything that is dangerous is too broad and subjective. It fails to provide a specific category or characteristics that define what qualifies as a hazard. The definition should include specific criteria or conditions that identify a hazard, such as the potential to cause harm or risk to safety.
14. The definition of sneezing as emitting wind audibly by the nose is too narrow and lacks clarity. It excludes other aspects of sneezing, such as the involuntary reflex and the expulsion of air through the mouth. The definition should encompass the essential characteristics of sneezing, including the reflexive nature and expulsion of air to clear the nasal passages.
15. The definition of a bore as a person who talks when you want him to listen is subjective and relies on personal preference. It does not provide objective criteria or essential characteristics to define a bore. A more appropriate definition would focus on the tendency to dominate conversations or disregard the interest or input of others.
In conclusion, these definitions violate the rules for definition by genus and difference by lacking specificity, including irrelevant information, and relying on subjective or ambiguous criteria. Clear and concise definitions should be based on essential characteristics and avoid personal opinions or subjective judgments.
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Help????????Pls my IXL does not like me at all..
Answer: w=4
Step-by-step explanation:
1- 16w+16w+13w=180 (bc a triangles angles =180 degrees)
2- 45w=180
3- w=4
Which value of m makes this equation true?
Answer:
m = -27/13
Step-by-step explanation:
Given equation,
→ (2m - 27)/3 = 5m
Now the value of m will be,
→ (2m - 27)/3 = 5m
→ 2m - 27 = 5m × 3
→ 2m - 15m = 27
→ -13m = 27
→ [ m = -27/13 ]
Hence, value of m is -27/13.
What is the average rate of change for this exponential function for the
interval from x=2 to x= 4?
a.-6.
b.6
c.12
d.-12
Answer:
The correct answer is:
b. 6
Step-by-step explanation:
We are given the graph of an exponential function.
We have to find the average rate of change for this exponential function from x = 2 to x = 4.
First of all, let us plot the point on the graph on the points x = 2 and x = 4.
Please refer to the attached diagram.
We can easily find that the value of y at x = 2 is 4.
the value of y at x = 4 is 16.
\(\therefore\) the coordinates are (2, 4) and (4, 16).
Let the points be A(2, 4) and B(4, 16)
Now, let us find the average rate of change for exponential function i.e. change in value of y divided by change in value of x from x = 2 to x = 4:
Formula:
\(\text{Average rate of change = } \dfrac{\text{Change in y coordinate}}{\text{Change in x coordinate}}\)
\(\Rightarrow \dfrac{16-4}{4-2}\\\Rightarrow \dfrac{12}{2}\\\Rightarrow 6\)
So, correct answer is option b. 6
A board game is played by moving a counter S space forward at a time, where S is determined by the following rule: A fair six-sided dice is thrown once. S is half the number shown on the dice if that number is even; otherwise S is twice the number shown on the dice.
1. Write out a table showing the possible value of S and their possibilities.
2. Find the probability that, in a single turn, a player moves their counter forward more than 2 spaces.
The table showing the possible value of S and their possibilities is attached below,
The probability that a player moves their counter forward more than 2 spaces is 0.5.
The Probability is the ratio of favorable outcomes to total number of outcomes. The probability of an event must be less than 1 as the sum of all probabilities of events is equal to 1.
Here, If the number on the dice is even, S is half that number; if it is not even, S is double that amount. The table showing the possible value of S and their possibilities is attached below,
Now, finding the probability that a player moves their counter forward more than 2 spaces,
As seen from the table, the number of favorable outcomes where the player moves the counter more than 2 spaces is 3.
The total number of outcomes is 6. so, the probability will be,
Probability \(=\frac{3}{6}\)
\(=\frac{1}{2} \\\\=0.5\)
Hence, the probability that a player moves their counter forward more than 2 spaces is 0.5.
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Find the missing angle (x) in the diagram below. Show your work. (doing online school)
Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is7(210 – c) = 1,358 where c is the number of cast members. How many cast members are in the play?
Answer:
there are 16 cast members.
Step-by-step explanation:
7(210-c)=1358 multiply everything in the parentheses by 7
1470-cx=1358
-7c=-112 subtract 1470 from both sides
c=16 divide -112 by -7
c=16
1/3 x 3/8 with steps please. And thank you.
Answer:
(1/3) * (3/8) = 1/8
Step-by-step explanation:
Multiple: 1/3* 3/8
= 1 · 3/3 ·8
= 3/24
= 1 3/8·3
= 1/8
Please someone help me with this no links
Answer:
w = -12
Step-by-step explanation:
You basically have 90% of the question done. You just needed to divide -60 by 5 and then get -12.
Good Luck!!!!!
=====================================================
Explanation:
You're on the right track. You start off subtracting 35 from both sides, and then next divide both sides by 5. Your steps are 100% correct. The last thing to do is to simplify each side after what you wrote. The -60/5 on the left simplifies to -12, while the 5w/5 on the right simplifies to w. We end up with -12 = w and that's the same as w = -12.
--------------
To verify, replace every copy of 'w' with -12 in the original equation and simplify each side.
-25 = 35 + 5w
-25 = 35 + 5(-12)
-25 = 35 - 60
-25 = -25
We end up with the same thing on both sides, so the answer is confirmed.
Could someone please help me with these two???
just tell me whether to use sin, cos, or tan for number 14 you don’t have to solve
SOLUTION
We use sin
This is because the opposite and the adjacent sides are where we have known and unknown values
You can use the code SOH/ CAH / TOA to make the right choice of trigonometric ratio to use
9. show that |(y2 2xy)dx (x2 2xy)dy is exact. then evaluate the integral. (0, 0)
To show that the given differential form is exact, we need to find a function f(x,y) such that its partial derivatives with respect to x and y are equal to the coefficients of dx and dy, respectively.
Let's consider the differential form:
M(x,y)dx + N(x,y)dy = (y^2-2xy)dx + (x^2-2xy)dy
Taking the partial derivative of M(x,y) with respect to y and the partial derivative of N(x,y) with respect to x, we have:
dM/dy = 2y - 2x = dN/dx
Since the partial derivatives are equal, the differential form is exact.
Now we need to find the potential function f(x,y) such that:
df/dx = M(x,y) and df/dy = N(x,y)
Integrating the first equation with respect to x, we obtain:
f(x,y) = y^2x - x^2y + g(y)
where g(y) is a constant of integration that depends only on y.
Now we differentiate f(x,y) with respect to y and compare it with N(x,y):
df/dy = 2xy - x^2 + g'(y) = x^2 - 2xy
Equating the coefficients of x^2 and xy, we get:
g'(y) = 0, and -2x = 0
Solving these equations, we obtain:
g(y) = C, and x = 0
where C is an arbitrary constant.
Substituting these results back into the expression for f(x,y), we get:
f(x,y) = y^2x - x^2y + C
Therefore, the potential function of the given differential form is f(x,y) = y^2x - x^2y, and we can evaluate the integral as follows:
∫ C dx + ∫ (-x^2 + y^2) dy
where C is a constant of integration.
Evaluating the first integral with respect to x, we get:
C x + g(y)
where g(y) is another constant of integration.
Evaluating the second integral with respect to y, we get:
C x + (1/3) y^3 - (1/3) x^3 + h(x)
where h(x) is another constant of integration.
Therefore, the general solution is:
C x + (1/3) y^3 - (1/3) x^3 + g(y) + h(x)
Since the initial point is (0,0), we have:
C (0) + (1/3) (0)^3 - (1/3) (0)^3 + g(0) + h(0) = 0
Simplifying, we get:
g(0) + h(0) = 0
Therefore, the value of the integral at the point (0,0) is:
∫ (y^2-2xy)dx + (x^2-2xy)dy = 0 + 0 + g(0) + h(0) = 0
Hence, the value of the integral at the point (0,0) is 0.
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The diagram shows ten identical squares inside a rectangle.
length-
15 cm
The width of the rectangle is 15 cm.
Work out the length of the rectangle.
Optional working
Answer: length =
+
cm
Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.
The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters
What is a square?A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.
Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm
The number of squares = 10
The number of squares that make up the width from the drawing = 5
The number of squares that make up the length of the rectangle are more than the number that makes up the width.The side length of the square is therefore; 15 cm ÷ 5 = 3 cm
The number of squares that make up the length of the rectangle = 7
The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm
The length of the rectangle = 21 centimeters
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What’s the answer for this problem?
Answer:
60^2-10/5 = 3600-2 = 3598
Step-by-step explanation:
DEFG is an isosceles trapezoid. Find the measure of ≤ G.
Answer:
\(\huge\boxed{121\text{ degrees}}\)
Step-by-step explanation:
In an isosceles trapezoid, the two angles formed with each base are equal.
Hope it helps :) and let me know if you want me to elaborate.
What is the binary number for 19
Answer:
the answer is 10011 hope it helps
Answer:
10011
Step-by-step explanation:
128 64 32 16 8 4 2 1
1 1 1 (fill the rest with zeros, ignore left zero)
16+2+1 = 19
What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4 domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4 domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
Answer:
Step-by-step explanation:
The domain of a function is the set for which the function is defined. Our function is the function \(h(x) = 6x-4\). This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.
The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.
Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.
Answer:
the answer is b
Step-by-step explanation:
Velocity is related to acceleration and distance by the following expression: v^2 = 2ax^P. Find the power p that makes this equation dimensionally consistent.
The power p that makes the equation dimensionally consistent is 1.
What is power?Power can be defined as the amount of work completed in a given time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power.
To determine the power of p that makes the equation dimensionally consistent, we must analyze the dimensions of each term in the equation.
Let's look at the dimensions of the variables involved:
Velocity \((v): [L][T]^{-1}\) (dimension of length divided by time)
Acceleration (a): \([L][T]^{-2}\) (dimension of length divided by time squared)
Distance (x): [L] (dimension of length)
Now, let's analyze each term in the equation:
\(v^2: [L]^2[T]^{-2} \\ 2a: [L][T]^{-2} \\ x^p: [L]^p\)
For the equation to be dimensionally consistent, the dimensions of the left-hand side (v²) should be equal to the dimensions of the right-hand side
\((2ax^p)\)
Comparing the dimensions of the two sides, we have:
\([L]^2[T]^{-2} = [L][T]^{-2}[L]^p\)
On the left-hand side, we have dimensions of length squared divided by time squared, while on the right-hand side, we have dimensions of length to the power of (1 + p) divided by time squared.
Since the dimensions must be equal, we can equate the exponents of the length and time terms:
2 = 1 + p (from the exponents of [L] and [T])
Solving for p:
p = 2 - 1
p = 1
Therefore, the power p that makes the equation dimensionally consistent is 1.
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Through applying the principle of dimensional analysis, it is determined that 'p', the power making the expression v^2 = 2ax^p dimensionally consistent, equals 1.
Explanation:The given relation is v^2 = 2ax^p. Here, the left side (v^2) has dimensions of (Length^2/Time^2), the right side 2a has dimensions of (Length/Time^2) and x^p has dimensions of (Length^p). For the equation to be dimensionally consistent, the dimensions on both sides must be equal.
Therefore, we have (Length^2/Time^2) = (Length/Time^2) * (Length^p), which simplifies to Length^2 = Length^(1+p). For these two to be equal, p must equal 1.
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A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected
Answer:
30% for chocolate
Step-by-step explanation:
9÷30= 30% 0.3 vanilla
9÷30=30% 0.3 chocolate
12÷30=40% 0.4 oatmeal
The probability of choosing chocolate is 0.30.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Number of total cookies = 30
Number of vanilla = 9
Number of chocolate = 9
Number of oatmeal = 12
The probability that chocolate is randomly selected is;
Probability of choosing a chocolate = Number of chocolate / Number of total cookies
Probability of chosen a chocolate = 9 / 30
Probability of chosen a chocolate = 3 / 10
Probability of chosen a chocolate = 0.30
Hence, the probability of choosing chocolate is 0.30.
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