The equation of the sinusoidal function is y = 5sin(x).
How to graph sinusoidal function?
To solve this, we need to find the equation of the sinusoidal function that has a maximum point at (0,5) and a minimum point at (2π,-5).
First, we know that the function is a sine function because it has a maximum at (0,5) and a minimum at (2π,-5).
Second, we can find the amplitude of the function by taking half the difference between the maximum and minimum values. In this case, the amplitude is (5-(-5))/2 = 5.
Third, we can find the vertical shift of the function by taking the average of the maximum and minimum values. In this case, the vertical shift is (5+(-5))/2 = 0.
Finally, we can find the period of the function by using the formula T=2π/b, where b is the coefficient of x in the equation of the function. In this case, we know that the function completes one cycle from x=0 to x=2π, so the period is 2π.
Putting it all together, the equation of the function is y = 5sin(x)
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The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y
Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.
What are the rules for writing an inequality?In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:
The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:
Assuming the ordered pair (1, 2), we have:
y ≥ 6
2 ≥ 6 (False).
5x+3y ≤ 15
5(1) +3(2) ≤ 15
5 + 6 ≤ 15
11 ≤ 15 (True).
Therefore, it is not a feasible solution.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Another help!!! Good points fake response =report
Answer:
135Step-by-step explanation:
3³ × (12-2) ÷ 2 =
27 × 10 ÷ 2 =
270 ÷ 2 =
135
The buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338. What percentage is the mark-up?
The percentage mark-up of the goods is 69 percent.
How to find the percentage mark-up?The mark-up percentage is calculated by subtracting the unit cost from the selling price, dividing by the unit cost and multiplying times 100.
Therefore, the buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338.
Hence, the percentage mark-up can be calculated as follows:
percentage mark-up = 338 - 200 / 200 × 100
percentage mark-up = 138 × 100 / 200
percentage mark-up = 13800 / 200
percentage mark-up = 138 / 2
percentage mark-up = 69 %
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Please Help Me!!! √36/169 = ?
Answer:
Step-by-step explanation:
0.03550295857
How many roots ( real and complex) describe the given polynomial function?
f(x)=x^3 +9x
A. three real roots
B . one real root and two complex roots
C. three complex roots
D. two real roots and one complex roots
Answer: d
Step-by-step explanation:
because after you multiply x 3 times you can use the 3 would be the square root of the number you got and a complex root you can't do that
For example: 9 x 3 = 27 the square root of 27 is 5.2 and that's is rounded
Solve each system of the new equations by adding or subtracting
Given the equations
x + y = 5----------------------(1)
x - 3y = 3-----------------------(2)
Subtract equation (2) from (1)
x - x -3y - y = 3 - 5
-4y = -2
Divide both -4
\(\begin{gathered} \frac{-4y}{-4}\text{ = }\frac{-2}{-4} \\ y\text{ = }\frac{1}{2}\text{ = 0.5} \\ \end{gathered}\)Substitute y = 1/2 into equation (1)
x + y = 5
\(\begin{gathered} x\text{ + }\frac{1}{2}\text{ =5} \\ x\text{ = 5 -}\frac{1}{2} \\ x\text{ = }\frac{10-1}{2} \\ x=\frac{9}{2}\text{ = 4.5} \\ \end{gathered}\)Hence, the solution to the equations is
\(\begin{gathered} x\text{ = }4.5,\text{ y = 0.5} \\ Or\text{ in coordinate form, (4.5, 0.5)} \end{gathered}\)plz help!!! i’ll mark brainliest!!!!
Step-by-step explanation:
go to rcboe.org sorry if it doesn't work
Simplify this expression.
2^5(13 +12)
Answer:
800
Step-by-step explanation:
You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800
Write the ratio of the first measurement to the second measurement. Compare in millimeters.
diameter of ball A: mm
diameter of ball B: cm
The ratio of the diameter of ball A to the diameter of ball B is
Answer:
8:19
Step-by-step explanation:
Ball B: diameter in mm = 9.5 * 10 = 95 mm
Ratio of Ball A to Ball B = 40 : 95
= 8:19 answer
An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table to the right. Based on this data, how many lasagna dinners are likely to be needed for a flight with 360 passengers? Answer correctly for 100 points!
Answer:
3 times 25 = 75
Step-by-step explanation:
Plz vote Brainliest
There are 75 lasagna dinners are likely to be needed for a flight with 360 passengers.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table to the right.
Here, Number of Lasagna for 120 passengers = 25
Hence, For 360 passengers number of lasagna is,
⇒ 120 / 35 = 360 / x
Where, x is umber of lasagna for 360 passengers
⇒ x = 360 × 25 / 120
⇒ x = 75
Thus, There are 75 lasagna dinners are likely to be needed for a flight with 360 passengers.
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PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT AND IT SAYS WRITE YOUR REASON AS A DECIMAL SO PWEASE DO THAT
Answer:
0.244
Step-by-step explanation:
1.22÷5
Expand 1.22/5 by multiplying both numerator and the denominator by 100.
122/500
Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.
61/250
Convert to decimal form.
0.244
URGENT!!!!!!!!
Given that QM = 15 units, SM = 10 units, and RM = 18 units, what is the length of segment PM?
A.
13 units
B.
8 units
C.
12 units
D.
7 units
Answer:
C) 12
Step-by-step explanation:
I couldn't tell what kind of segments were associated with your circle, so I'll go based on the image below.
Based on the image, we know QM = 15, SM = 10, and RM = 18. To find the length of segment PM, we use the formula used to find segment lengths when there are two chords in a circle.
Our formula: (SM)(RM) = (QM)(PM)
Now, we fill in the data and solve: (10)(18) = (15)(x)
(10)(18) = 180
(15)(x) = 15x
180 = 15x → 180 ÷ 15 = 12 & 15x ÷ 15 = x
x = 12
- 2022 Edmentum
The length of Line segment PM inside the circle is calculated as: Option C. 12 units
How to find the length of the given segment?From the attached image, we can see that we have the following lengths:
QM = 15
SM = 10
RM = 18.
To find the length of segment PM, we will use the formula used to find segment lengths when there are two chords in a circle using the ratio:
(SM)(RM) = (QM)(PM)
Plugging in the relevant values gives us:
10 * 18 = 15* x
15x = 180
Divide both sides by 15 to get:
x = 180/15
x = 12 units
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what is 136 over 20 x 96 over 20?
Answer:
32.64
Step-by-step explanation:
136/20*96/20=32.64
Two large charged plates of charge density ±30�C/m2±30μC/m 2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere. (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?
(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.
What is the word for speed in science?A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.
a). Positivplate should be on the right and negativeplate should be on the left.
Potential equals zero at the center of the plates.
Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0
Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.
Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.
Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.
The potential is -8475 V on the contrary side of the negative plate.
Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.
b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J
Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.
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1. A cube's volume is 512 cubic units. What is the length of its edge?
2. If a sphere fits snugly inside this cube, what is its volume?
3. What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show
your reasoning.
the answer is A ;)))))
a random sample of 2015 used cars for sale on the market has an average mileage of 71,420 miles with a sample standard deviation of 9,470 miles. what is the z-score for a used car with 80,500 miles in this sample?
The probability of the sample having a average gas mileage between 27 and 29 miles per gallon will be 0.0116.
What is a normal distribution?
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
In 2015, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.
Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be
The value of the z-score at x = 27, we have average as
The value of the z-score at x = 29, we have
z= 0.16
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Consider sets A and B with |A| = 10 and B = 17. (a) How many functions f : A - B are there? (b) How many functions f: A B are injective?
(a) There are 17^10 possible functions f: A - B.
(b) There are 17!/(17-10)! = 3,350,272,640 possible injective functions f: A -> B.
(a) To determine the number of possible functions f: A - B, we need to find the number of possible outputs for each element in A. Since there are 17 elements in B, there are 17 choices for the output of the first element in A, 17 choices for the output of the second element in A, and so on, for a total of 17^10 possible functions.
(b) To determine the number of injective functions f: A -> B, we first note that there are 17 choices for the output of the first element in A, 16 choices for the output of the second element in A (since the first element cannot be used again), and so on, down to 8 choices for the output of the tenth element in A.
Therefore, there are 17 x 16 x 15 x ... x 8 injective functions f: A -> B. Using the formula for permutations, this simplifies to 17!/7! = 3,350,272,640 possible injective functions.
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if u.s. net exports are negative, then net capital outflow is question 22 options: positive, so foreign assets bought by americans are greater than american assets bought by foreigners. positive, so american assets bought by foreigners are greater than foreign assets bought by americans. negative, so foreign assets bought by americans are greater than american assets bought by foreigners. negative, so american assets bought by foreigners are greater than foreign assets bought by americans.
If U.S. net exports are negative, then net capital outflow is:
Option: Negative, so American assets bought by foreigners are greater than foreign assets bought by Americans.
Net capital outflow represents the difference between the domestic purchase of foreign assets and the foreign purchase of domestic assets. When net exports (exports minus imports) are negative, it means that the value of imports exceeds the value of exports, resulting in a trade deficit. This implies that Americans are buying more goods and services from foreign countries than they are selling to them.
In the context of net capital outflow, a negative net export indicates that Americans are using their currency to purchase foreign assets (e.g., foreign stocks, bonds, real estate) more than foreigners are using their currency to purchase American assets.
This creates a negative net capital outflow, indicating a greater flow of American assets being bought by foreigners compared to the foreign assets being bought by Americans.
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Someone help plz I need help
Answer:
-3 i think because it is low i am soooo sorry if its wrong i really wasnt trying to get points i wanted to help hope for the best
Step-by-step explanation:
2/5% as a fraction in it's simplest form
Answer:
Here is the ans...hope it helps:)
which of these statements accurately describes the amplitude of a trigonometric function? select one: a. the amplitude is the number that describes the width of a single repetition of the function. b. the amplitude is an expression that is used to calculate the period of the function. c. the amplitude is twice the height of the function from the x-axis to its highest point. d. the amplitude is a real number value used to help determine the lowest point on the curve and the highest point.
The statement that accurately describes the amplitude of a trigonometric function is "the amplitude is twice the height of the function from the x-axis to its highest point."So, the correct option is c.
The amplitude is twice the height of the function from the x-axis to its highest point.What is an amplitude of a function?The amplitude is defined as the difference between the highest and lowest point on a curve.
In the case of a trigonometric function, the amplitude is the distance between the center line and the maximum point (or minimum point) on the curve. The center line is the mean value of the curve or the horizontal line that passes through the center of the curve.
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Calculate the net profit margin for a
shirt sold for $12 that has a $3 cost of
goods sold and 20% operating expenses.
A. 55%
C. 70%
B. 220%
D. $7
The net profit margin for this shirt is 55%.
What is net profit?
Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.
Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.
It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.
Profitability is a measure of efficiency and is useful in determining the success or failure of a business.
Given,
Revenue = $12
Cost of goods sold = $3
Operating expenses = 20% of revenue = 20/100 x $12 = $2.4
We know,
Net Profit = Revenue - Cost of goods sold - Operating expenses
\(Net \: Profit = 12 - 3 - 2.4\)
Hence, Net Profit = $6.6
Again,
Net Profit Margin = (Net Profit / Revenue) x 100%
Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)
SO, Net Profit Margin = 55%
Therefore, the net profit margin for this shirt is 55%.
So, it is clear that choice A is correct.
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Find the slope when given the two points (-7, 4) and (-14, 3) a 7 b -1/7 c 1/7 d -7
Answer:
c
Step-by-step explanation:
because slope formula is
y1-y2/x1-x2 and 4-3 is 1 and -7- -14 which turns into -7 + +14 equals 7 so 1/7
Identify the prime numbers in the following lists. a. 5, 7, 12, 11b. 14, 6, 3c. 31, 17, 9, 15d. 782, 61, 2
a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.
a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.
b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.
c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.
d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.
To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.
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Is 254.9 million bigger than 1854 million????
Answer:
No, it is smaller.
Step-by-step explanation:
yess it has a decimal so its gonna be greater as well
-50= 6a+28 please help
Answer:
a=-13
Step-by-step explanation:
-50=6a+28
isolate the a
-50-6a=28
-6a=28+50
-6a=78
divide both sides by -6
a=-13
11. Which of the following is a solution to the
inequality c + 4 <-7?
(1) -15
(2) -10
(3) -5
(4) O 0
(5) 10
Answer:
-15
Step-by-step explanation:
That's the answer because
-15+4=-11
-15+4=-11-11<-7
Compute the determinant using cofactor expansion along any row or column that seems convenient.
tan(theta) sin(theta) cos(theta)
cos(theta) 0 −sin(theta)
sin(theta) 0 cos(theta)
The determinant of the given matrix using cofactor expansion along the first column is cos(theta) * cos(2theta).
To compute the determinant using cofactor expansion, we can choose any row or column that seems convenient. Let's choose the first column.
The cofactor of the element in the first row and first column is the determinant of the 2x2 matrix obtained by deleting that row and column:
```
| 0 −sin(theta) |
| 0 cos(theta) |
```
So, the cofactor of the element in the first row and first column is:
```
cos(theta) * (0) - (-sin(theta)) * (0) = 0
```
The cofactor of the element in the second row and first column is:
```
sin(theta) * (0) - cos(theta) * (-sin(theta)) = sin(theta) * cos(theta)
```
The cofactor of the element in the third row and first column is:
```
cos(theta) * (cos(theta)) - 0 = cos^2(theta)
```
So, the determinant of the matrix is:
```
tan(theta) * 0 + sin(theta) * cos(theta) * (−sin(theta)) + cos(theta) * cos^2(theta)
= -sin^2(theta) * cos(theta) + cos^3(theta)
= cos(theta) * (cos^2(theta) - sin^2(theta))
= cos(theta) * cos(2theta)
```
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. Un bloque de hierro tiene 5.0 cm de largo, 3.0 cm de alto y 4.0 cm de ancho y pesa 474 g ¿Cuál es la densidad del hierro?
Answer:
the density of the iron is 7.9 g /cm^3
Step-by-step explanation:
The computation of the density of the iron is shown below:
Density = weight ÷ volume
= 474 ÷ (5 × 3 × 4)
= 474 ÷ 60
= 7.9 g /cm^3
Hence, the density of the iron is 7.9 g /cm^3
this might be a waste of time but. 1-6 :)
Answer:
Step-by-step explanation:
1. 6 yd
2. 32 oz
3. 51.2 fl oz
4. 10560 ft
5. 2.5 T
6. Quarts to what??? Pints???