Answer:
I believe what your problem is asking is to simplify \(xy + 2xy+x+3y\). If that is the case then the answer would be 3xy + x + 3y.
Step-by-step explanation:
Combine like terms.
16 X +12 over two equals 100
The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825
Given that equation \(\frac{16x+12}{2}=100\) and asked to evaluate the value of x in the given equation
⇒ \(\frac{16x+12}{2}=100\)(given equation)
To solve the given equation, need to use the various mathematical operations i.e division and subtraction)
⇒8x+6=100 ( using the operation division)
⇒8x=100-6 (using the operation subtraction)
⇒8x=94
⇒x=\(\frac{94}{8}\)(using the operation division)
⇒x=11.825
By using the mathematical operations i.e division and subtraction the value of x came as 11.825
⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825
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Thanks!
1) You know that for any , neither sin nor cos can be greater than 1. How can you explain this using the unit circle definitions of sine and cosine? How can you explain it using the right triangle definitions of sine and cosine?
As a follow-up question, consider why it is important to have both the right triangle definitions of sine and cosine and the unit circle definitions of sine and cosine.
2) Can you give examples of situations that might be modeled with trigonometric functions? That is, can you give examples of phenomena that take on a series of values over and over again?
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of sine and cosine will be always less than a unit.
How to explain the trigonometry?In a unit circle, the radius of the circle represents the hypotenuse of the triangle. Since the hypotenuse is the largest side of the triangle, the ratio of the perpendicular to the hypotenuse and the base to the hypotenuse both will be less than the hypotenuse, therefore, 1. Hence, the value of sine and cosine will be always less than a unit.
In construction, we use trigonometry. For figuring areas of triangular shapes, similar to many concepts and phenomena in mathematics.
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what is the value of x in the following diagram
The value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.
What is the property of perpendicular on chord in circle?The line which is drawn from the center of the circle perpendicular to the chord in the circle bisect the chord into two equal shape.
In the given, diagram the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8.
These both the lines are equal in length as both are drawn from the center of the circle and has a perpendicular bisector for the 15 units length chord in the circle. Thus,
\(3x+1=x+8\\3x-x=8-1\\2x=7\\x=\dfrac{7}{2}\\x=3.5\)
Thus, the value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.
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what is the value of sin(a)
Answer:
i think 45
Step-by-step explanation:
Asked yourself what was wrong and how you would
QUESTION 2: Maria ordered a pizza. She ate 4/6 of it and gave
the remaining pizza to her 2 brothers. What fraction of the whole
pizza will each of Maria's brothers receive, if they share the
remaining pizza equally?
Answer:
1/6 2/6 1/3
Step-by-step explanation:
one of those 3
Write an equation for a function with the given characteristics.
A cosine curve with a period of 8, an amplitude of 3, a right phase shift of /3, and a vertical translation up 5 units.
f(x) =
The equation for the function is f(x) = 3 * cos (16x + \(\frac{16\pi }{3}\) ) + 5.
What is an equation?
A assertion that two expressions with variables and/or numbers are equal is referred to as an equation. The fundamental driving forces behind the evolution of mathematics have been attempts to logically solve equations, which are really questions.
We know that f(x) = a cos (bx + c) + d.
We are given
a = 3 which is the amplitude
Period = 8π
b = 16
Phase shift = \(\frac{c}{b}\)
⇒\(\frac{\pi }{3}\) = \(\frac{c}{16}\)
⇒ c = \(\frac{16\pi }{3}\)
d = 5 as there is upward translation
So, from this we get the equation as
⇒f(x) = 3 * cos (16x + \(\frac{16\pi }{3}\) ) + 5
Hence, the equation for the function is f(x) = 3 * cos (16x + \(\frac{16\pi }{3}\) ) + 5.
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Question: Write an equation for a function with the given characteristics. A cosine curve with a period of 8π, an amplitude of 3, a right phase shift of π/3, and a vertical translation up 5 units.
f(x) = ______________
One sheet of aluminum is 0.229 incg thick. How thick is a stack of 31 sheets if aluminum?
The stack of 31 sheets of aluminum will be approximately 7.099 inches thick.
- One sheet of aluminum is 0.229 inches thick.
- To find the thickness of a stack of sheets, we need to multiply the thickness of one sheet by the number of sheets.
- So, to find the thickness of 31 sheets of aluminum, we need to multiply 0.229 inches by 31.
- 0.229 x 31 = 7.099 inches.
- Therefore, the stack of 31 sheets of aluminum will be approximately 7.099 inches thick.
To determine the thickness of a stack of 31 sheets of aluminum, we need to consider the thickness of one sheet and then multiply it by the number of sheets in the stack.
Firstly, we are given that one sheet of aluminum is 0.229 inches thick. This means that if we were to measure the thickness of one sheet using a ruler or calipers, we would get a reading of 0.229 inches.
Next, we need to find the thickness of 31 sheets of aluminum. To do this, we need to multiply the thickness of one sheet by the number of sheets. This can be expressed as:
Thickness of stack = Thickness of one sheet x Number of sheets
Substituting the values we have:
Thickness of stack = 0.229 x 31
Multiplying these two values gives us:
Thickness of stack = 7.099 inches
Therefore, the stack of 31 sheets of aluminum will be approximately 7.099 inches thick.
In conclusion, we can determine the thickness of a stack of sheets by multiplying the thickness of one sheet by the number of sheets. In this case, we were given the thickness of one sheet of aluminum and the number of sheets in the stack, which allowed us to calculate the thickness of the entire stack.
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According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probability that it will be above 80 F for 20 or more days this June. There are 30 days in June.
The best way is to Keep track of how many times you roll a 1, 2, 3, or 4 in 30 rolls. These will represent the days the temperature is above 80° F in June. So, correct option is D.
Option A is not the best way to perform the simulation because it requires repeating the 30 rolls 20 times, which can be time-consuming and may not accurately reflect the true probabilities.
Option B is also not the best way to perform the simulation because it only accounts for the total number of times a temperature above 80°F is rolled, but not how many times it is rolled in a sequence. This can lead to inaccurate results, as consecutive days of above-80°F temperatures are more or less likely depending on the previous day's temperature.
Option C is better than option A because it involves repeating the 30 rolls 100 times, which increases the accuracy of the simulation. However, this may still be time-consuming and unnecessary.
Option D is the best way to perform the simulation because it tracks the number of days the temperature is above 80°F in June based on 30 rolls, which accurately reflects the probabilities given in the problem statement.
This method is efficient and effective in providing an accurate estimate of the probability of having 20 or more days above 80°F in June. Therefore, Option D is the best way to perform the simulation.
So, correct option is D.
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Give the equations of 3 lines that are parallel to the line with the equation y=3x+2
Is the pair of equations y 0 and y =- 7 will have?
No Solution.
Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
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Book I, Problem 18. Find three numbers such that the sum of any pair exceeds the third by a given amount; say the given excesses are 20, 30, and 40. (Hint: Let the sum of all three numbers be 2x. Add number (3) to both sides of the equation (1) + (2) = (3) + 20 to get (3) = x – 10. Obtain expressions for (1) and (2) similarly.]
a = 5, b = 25, c = 0
step by step explanation:
Let the three numbers be a, b, and c. Then, we have the following system of equations:
a + b = c + 20 (1)
a + c = b + 30 (2)
b + c = a + 40 (3)
Adding all three equations together, we get:
2(a + b + c) = 90
Simplifying, we get:
a + b + c = 45
Now, using the hint given in the problem, we can write:
c = x - 10
b = a + 20
a + (a + 20) = (x - 10) + 30
Simplifying this equation, we get:
2a + 20 = x + 20
Solving for x, we get:
x = 2a
Substituting this value of x in the equation c = x - 10, we get:
c = 2a - 10
Now we can express b and c in terms of a:
b = a + 20
c = 2a - 10
Therefore, three numbers that satisfy the given conditions are:
a = 5, b = 25, c = 0
We can verify that the sum of any pair exceeds the third by the given amounts:
a + b = 30 > c + 20 = 20
a + c = 5 > b + 30 = 25
b + c = 15 > a + 40 = 45
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please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
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pls, help! show work
Answer:
B. 39.4
Step-by-step explanation:
H is 60, so the new equation would be 60 - 20.6.
60 - 20.6
60.0 - 20.6
The rest of the work is attached.
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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Find the length of the arc.
please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: where's the question?
Step-by-step explanation:
Answer:
your question please
Step-by-step explanation:
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The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
112 inches.
Step-by-step explanation:
L(k)=8(12)+2k
L(k)=96+2k
L(8)=96+2(8)
L(8)=96+16
L(8)=112in
Answer:
112 inches.
step by step
Y= 96 +2x
watch out for the change of units of feet and in.
Mrs. Williams has 7 gallon of juice left in a bottle. She pours an equal amount of
juice into 5 glasses to empty the bottle. Which model represents the fractional
amount of the gallon of juice in each glass?
20
LLLL
Answer:
1/20 of a gallon
Step-by-step explanation:
If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons.
if 45% of an item 75.00 what is the original price
Answer: 157.5
Step-by-step explanation:
I would add 45 % again and you'd get 90 % or
150.00 the find 10 % of 75 which is 10*75/100 or 7.5
then add 150.00+ 7.5 = 157.5
What is the slope y =- 5x 3?
Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.
In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.
The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.
Slope-Intercept Form:
When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.
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T/F: The proportion in the body of a normal distribution can never be less than 0.50.
This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.
In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.
The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.
So, the proportion in the body of the distribution is greater than 0.50.
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Sin y = 4xy + x^2. Find dy/dx
Answer:
dy/dx=(4y+2x)/(cos y-4x)Step-by-step explanation:
Siny= 4xy +x²
dy/dx(cos y) =4y+ 4x(dy/dx)+2x
making dy/dx the subject
dy/dx(cos y)-4x(dy/dx)=4y+2x
dy/dx(cos y -4x)=4y+2x
dy/dx=(4y+2x)/(cos y -4x)
(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
no links, will be reported
Answer:
(1,0)
Step-by-step explanation:
This is because a system of equations is when two lines cross to form a point that they share. (1,0) is the point where the two lines cross/intersect.
Answer:
(1,0)
Step-by-step explanation:
The answer is where the ines intersect to form a point.
I Bet you can't answer
"5(2x+4)-3(-6-x)"
answer this with full formula
also expand simplify them
Answer:
13x+38
Step-by-step explanation:
(2,-4) 1 (3,2),(-1,0),(2,5),(0,4)
A.It is a function
B.it is not a function
Answer: The answer is B. It is not a function because the domain(x) is repeating and if the x was not repeating it would have been a function :)
Step-by-step explanation:
Life application on the equation of the circle
A function f is continuous on the closed interval [5,12] and differentiable on the open interval (5,12) and f has the values given in the table above. Using the subintervals [5,6], [6,9], [9,11], and [11,12], what is the right Riemann sum approximation to integral from 5 to 12 f(x) * dx?
The right Riemann sum approximation for the integral from 5 to 12 of f(x) * dx, using the subintervals [5,6], [6,9], [9,11], and [11,12], is 5(2) + 3(3) + (-1)(2) + 4(1) = 11.
The right Riemann sum approximation is a method to estimate the area under a curve by dividing the interval into subintervals and using rectangles to approximate the area. In this case, we divide the interval from 5 to 12 into four subintervals: [5,6], [6,9], [9,11], and [11,12]. Each subinterval has a specific width, determined by the difference between its endpoints.
To approximate the area under the curve, we evaluate the value of f(x) at the right endpoint of each subinterval. Referring to the given table, f(6) = 2, f(9) = 3, f(11) = -1, and f(12) = 4. These values represent the heights of the rectangles that approximate the curve within each subinterval.Calculating the area contribution for each subinterval involves multiplying the width of the subinterval by its corresponding height. For the subinterval [5,6], the rectangle's height is 2 and the width is 1, resulting in an area contribution of 2 * 1 = 2. Moving to the subinterval [6,9], the rectangle's height is 3 and the width is 3, giving an area contribution of 3 * 3 = 9.
Similarly, for the subinterval [9,11], the rectangle's height is -1 and the width is 2, resulting in an area contribution of -1 * 2 = -2. Lastly, for the subinterval [11,12], the rectangle's height is 4 and the width is 1, giving an area contribution of 4 * 1 = 4.By summing up the area contributions from each subinterval, we obtain 2 + 9 + (-2) + 4 = 11. Therefore, the right Riemann sum approximation for the integral from 5 to 12 of f(x) * dx is 11. This approximation provides an estimate of the total area under the curve within the specified interval, using rectangles with the right endpoints as the heights.
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Find 0 / X² √/2² + 490 Solution X Let X = 7 Tan(0), T 13 <8≪ De And Then Dx = 2 2 √X² + 49 = √√49 (Tan² (0) + 1) = √49 Sec²()
The given integral is ∫(0 / x² √(2² + 490)) dx. To solve this integral, we can make a substitution by letting x = 7tan(θ), where θ is between -π/8 and π/8. Then, dx = 2sec²(θ) dθ. The given integral is ∫(0 / x² √(2² + 490)) dx, and after making the substitution x = 7tan(θ), the integral becomes ∫(0 / 98sec³(θ) √(1 + 122.5tan²(θ))) dθ.
Substituting these expressions in the integral, we have ∫(0 / (7tan(θ))² √(2² + 490))(2sec²(θ)) dθ. Simplifying further, we get ∫(0 / 49tan²(θ) √(4 + 490))(2sec²(θ)) dθ. Rearranging the expression under the square root, we have ∫(0 / 49sec²(θ) √(4(1 + 122.5tan²(θ))))(2sec²(θ)) dθ. This can be simplified to ∫(0 / 98sec³(θ) √(1 + 122.5tan²(θ))) dθ.
In summary, the given integral is ∫(0 / x² √(2² + 490)) dx, and after making the substitution x = 7tan(θ), the integral becomes ∫(0 / 98sec³(θ) √(1 + 122.5tan²(θ))) dθ.
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The given integral is ∫(0 / x² √(2² + 490)) dx. To solve this integral, we can make a substitution by letting x = 7tan(θ), where θ is between -π/8 and π/8. Then, dx = 2sec²(θ) dθ. The given integral is ∫(0 / x² √(2² + 490)) dx, and after making the substitution x = 7tan(θ), the integral becomes ∫(0 / 98sec³(θ) √(1 + 122.5tan²(θ))) dθ.
Substituting these expressions in the integral, we have ∫(0 / (7tan(θ))² √(2² + 490))(2sec²(θ)) dθ. Simplifying further, we get ∫(0 / 49tan²(θ) √(4 + 490))(2sec²(θ)) dθ. Rearranging the expression under the square root, we have ∫(0 / 49sec²(θ) √(4(1 + 122.5tan²(θ))))(2sec²(θ)) dθ. This can be simplified to ∫(0 / 98sec³(θ) √(1 + 122.5tan²(θ))) dθ.
In summary, the given integral is ∫(0 / x² √(2² + 490)) dx, and after making the substitution x = 7tan(θ), the integral becomes ∫(0 / 98sec³(θ) √(1 + 122.5tan²(θ))) dθ.
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The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference
B....................
Answer:
b. Arithmetic .
Step-by-step explanation:
b because to get the next term you add 8.