Earthquake in Turkey was 1000 times much stronger, compared to a magnitude 5 earthquake
What is Richter scale?The Richter scale (also known as the Richter magnitude scale) assigns magnitude numbers to quantify the energy released by an earthquake. Developed by Charles Richter in the 1930s, the Richter scale is a base 10 logarithmic scale that defines magnitude as the logarithm of the ratio of seismic wave amplitudes to smaller amplitudes.
As measured by seismographs, an earthquake measuring 5.0 on the Richter scale has 10 times more shaking amplitude than a 4.0 earthquake.
Given,
Magnitude 6 is 10² = 100 times greater than magnitude 4.
Magnitude 4 is 10 times greater than magnitude 4.
By the above data, 1 digit greater magnitude means 10 times powerful.
Earthquake on turkey is of 8 magnitude
∵ Difference of 8 magnitude and 5 magnitude = 8 - 5 = 3
∴ 8 magnitude earthquake is 1000 times greater.
Hence, 1000 times much stronger was earthquake in Turkey, compared to a magnitude 5 earthquake.
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Work out the size of angle x
Answer:
Step-by-step explanation:
you get angle one from opposite angles = 85°
second angle :
98° x 2 = 196°
360° - 196° = 164°
164°/2 = 82°
Finding angle x:
82° + 85° = 167°
180°-167° = 13°
x=13°
At this Sunday’s Super Bowl game, 150 out of thefirst 500 people who entered the main gate were not wearing team jerseys. Ifthis sample is representative of the 75,000 people attending the game, abouthow many of them will probably NOT be wearing team jerseys? 2,500 people 25,000 people 22,500 people 2,200 people
As a result, approximately 22,500 spectators at the Super Bowl will likely not be donning club jerseys. The correct response is (C) 22,500 people.
what is proportionality ?A mathematical concept known as proportionality describes the relationship between two quantities that change in a way that keeps their ratio constant. This means that if the size of one quantity increases or decreases by a certain amount, the size of the other quantity will do the same, maintaining their relative size. In other words, we can state that A is directly proportional to B if we have two quantities, A and B, and their ratio is constant. Frequently, this is expressed as: A ∝ B or A = k * B where k is a ratio constant.
given
The number of spectators who won't be sporting team jerseys at the Super Bowl can be estimated using proportions:
If 150 out of the first 500 individuals to enter through the main gate were not donning team uniforms, then the percentage of those without team uniforms is:
150/500 = 0.3
This indicates that 30% of those who entered through the main gate did not have team jerseys on.
We can determine the approximate number of spectators who won't be donning team jerseys as follows, assuming that this proportion is representative of the entire 75,000 people in attendance:
0.3 * 75,000 = 22,500
As a result, approximately 22,500 spectators at the Super Bowl will likely not be donning club jerseys. The correct response is (C) 22,500 people.
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1. The table below gives the amount of time students in a class studied for a test and their test scores. Graph the data on a scatter plot, find the line of best fit, and write the equation for the line you draw.
The equation for the line of best fit is y = 5.43x + 76.41.
The correlation coefficient is 0.79
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the number of hours would be plotted on the x-axis of the scatter plot while the test scores would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the number of hours and test scores, a linear equation for the line of best fit is given by:
y = 5.43x + 76.41
In conclusion, the type of correlation between the variables is a strong positive correlation.
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Enter the zero element (zero vector) for each vector space. Use the following syntax to enter your answers. Enter the vector⟨1,2,3⟩using⟨1,2,3⟩. Enter the matrix[1324]using[[1,2],[3,4]]. Enter the functionf(x)=x2−sin(x)usingf(x)=x−2−sin(x), including the partf(x)=. 1. The zero vector of the vector spaceR2is 2. The zero vector of the vector space of2×2matrices is 3. The zero vector for the vector space of all functionsf:R→Ris
1) The zero vector of the vector space R2 is ⟨0,0⟩.
2) The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]].
3) The zero vector for the vector space of all functions f:R→R is f(x) = 0.
What is vector space?
A vector space is a mathematical structure consisting of a set of vectors that can be added together and scaled (multiplied) by scalars, such as real numbers, satisfying certain axioms.
The zero vector of the vector space R2 is ⟨0, 0⟩. This is because the zero vector of a vector space is the unique vector which when added to any vector in the space results in that same vector. In R2, the vector ⟨0, 0⟩ has this property, because for any vector ⟨a, b⟩ in R2, ⟨0, 0⟩ + ⟨a, b⟩ = ⟨a, b⟩.
The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]]. This is because the zero vector of a vector space is the unique matrix which when added to any matrix in the space results in that same matrix. In the space of 2×2 matrices, the matrix [[0,0],[0,0]] has this property, because for any matrix [[a,b],[c,d]] in the space, [[0,0],[0,0]] + [[a,b],[c,d]] = [[a,b],[c,d]].
The zero vector for the vector space of all functions f:R→R is f(x) = 0. This is because the zero vector of a vector space is the unique function which when added to any function in the space results in that same function. In the space of all functions f:R→R, the function f(x) = 0 has this property, because for any function f(x), f(x) + 0 = f(x).
Hence,
1) The zero vector of the vector space R2 is ⟨0,0⟩.
2) The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]].
3) The zero vector for the vector space of all functions f:R→R is f(x) = 0.
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Your sucessful art supply store, Warpz, just solf 30% of its inventory over the weekend. If on the second day you only sold 15% of the inventory that was left in the store, what percent of the total inventory was sold?
Please give an explanation!
18% of the total inventory was sold.
What is percentage?A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.
Given that, 30% of the inventory is sold over the weekend, on the second day only 15% of the inventory that was left in the store to be sold,
Let x be the total inventory,
Sold inventory = 30% of x,
The second day = x - 30% of x is sold
x -30% of x = 15% of x
x - 0.3x = 0.15x
x = 0.3x+0.15x
x = 0.18x
x = 18% of x,
Hence, 18% of the total inventory was sold.
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HELP ME ASAP!!!!
2) Practice: Organizing Information
Fill in the blanks to complete the flowchart.
How to Use Elimination to Solve a System of Two Linear Equations
1. Elimination
2. Variable
3. Equation
4. Solve
5. Equation
6. Variable
7. Substitution
My best estimate
Elimination , variable ,equation , Solve , equation, variable, substitution .
Describe Equation?An equation is a mathematical statement that asserts that two expressions are equal. It consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=). The expressions on both sides of the equation can be numbers, variables, or a combination of both, and the equal sign indicates that the two expressions have the same value.
Equations are used in mathematics to represent relationships between quantities, to solve problems, and to describe various phenomena. They are used in many areas of science, engineering, and economics, as well as in everyday life.
For example, the equation "2x + 3 = 7" represents the relationship between an unknown quantity x and the value 7. By solving this equation, we can find the value of x that makes the equation true. In this case, the solution is x = 2.
Identify elimination as the best method for the problem.
Find a variable with equal or opposite coefficients in the system.
Add or subtract one equation from the other.
Solve the one-variable equation.
Substitute the value of that variable into the other equation.
Solve for the second variable.
Check your answer. Use substitution and/or graphing.
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A golf store pays its wholesaler $40 for a certain club. and then sells it to a golfer for $75. What is the markup rate?
Answer:
87.5% increase
Step-by-step explanation:
75 - 40 = 35
Find what percentage 35 is of 40, and you can do so by dividing.
35 ÷ 40 = 0.875
0.875 = 87.5%
Find X (the missing variable)
14
33
19
27
pls, I really need this!
In the triangle the value οf x is D) 27.
What is triangle?A triangle is a fοrm οf pοlygοn with three sides; the intersectiοn οf the twο lοngest sides is knοwn as the triangle's vertex. There is an angle created between twο sides. One οf the crucial elements οf geοmetry is this.
Certain fundamental ideas, including the Pythagοrean theοrem and trigοnοmetry, rely οn the characteristics οf triangles. The angles and sides οf a triangle determine its kind.
Here in the given triangle, using ratiο then
=> [tex]\frac{x+8}{10}=\frac{2x-5}{14}[/tex]
=> [tex]14\times(x+8)=10(2x-5)[/tex]
=> 14x+112=20x-50
=> 20x-14x=112+50
=> 6x = 162
=> x =[tex]\frac{162}{6}[/tex]
=> x = 27
Hence the cοrrect οption is D)27.
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Given the information, please find the simple multiplier in the economy:
AD: y = 710 -30p + 5g
AS: y = 10 + 5p - 2s
g is government purchases, and s is the world price of some commodity.
Please explain how to do this, I don't need the answer unless I have the steps
The simple multiplier of the economy represented by the system of equation above is: 4/7.
What is Simple Multiplier?
The simple multiplier is the ratio of the change in equilibrium output to a change in autonomous expenditures, such as government spending or investment.
To find the simple multiplier in the economy, we need to first determine the equation for equilibrium output, which is where aggregate demand (AD) equals aggregate supply (AS).
Setting y in both equations equal to each other, we get:
710 - 30p + 5g = 10 + 5p - 2s
Simplifying and rearranging, we get:
35p = 700 + 2s - 5g
p = (20/7) + (2/35)s - (1/7)g
Now that we have the equilibrium price, we can substitute it back into the AD equation to find the equilibrium output (y):
y = 710 - 30[(20/7) + (2/35)s - (1/7)g] + 5g
y = (400/7) + (6/7)s + (4/7)g
The simple multiplier is then equal to the change in equilibrium output divided by the change in government purchases:
simple multiplier = Δy/Δg = 4/7
Therefore, the simple multiplier in the economy is 4/7.
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We are working with exponential and logarithmic equations.
Your goal is to write an equation with exactly one real solution
and
Make it solvable with paper and pencil.
Be creative!
When working with exponential and logarithmic equations, there are several ways to create an equation with exactly one real solution. One way is to use the properties of logarithms to create an equation that can be solved using paper and pencil. Here is an example:
Let's start with the equation y = 2ˣ. This is an exponential equation, and we want to find the value of x that makes the equation true. To do this, we can use the property of logarithms that states log_b(a) = n if and only if bⁿ = a. This means that we can rewrite the equation as log_2(y) = x.
Now, let's make the equation more interesting by adding a constant to both sides. We'll add 3 to the left side and 2 to the right side, giving us the equation log_2(y) + 3 = x + 2.
Finally, let's rearrange the equation so that we have a logarithmic equation with one real solution. We'll subtract 2 from both sides and then subtract x from both sides, giving us the equation log_2(y) - x + 1 = 0.
This equation has exactly one real solution, and it can be solved using paper and pencil. One way to solve it is to use the properties of logarithms to rewrite the equation in terms of y and then solve for y. Another way is to graph both sides of the equation and find the point where they intersect.
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What is the coefficient a in the factorization: \[ x^{2}+a x y+b y^{2}=(x+5 y)(x-4 y) \] Select one: a. \( -20 \) b. 5 c. \( -1 \) d. \( -4 \) e. 1
The coefficient a in the factorization [ x²+a x y+b y²=(x+5 y)(x-4 y) ] is -1. The correct answer is C
Terms are the sum of the numbers or variables, factors are the sum of the numbers or variables multiplied, and coefficient is the number multiplied by the variable.
To find the coefficient a, we can expand the right side of the equation and compare it to the left side.
Expanding the right side gives us: [ (x+5 y)(x-4 y)=x²-4 x y+5 x y-20 y² ]
Simplifying the right side gives us: [ x²+x y-20 y² ]
Comparing this to the left side of the equation, we can see that the coefficient a is -1.
Therefore, the correct answer is c. ( -1 ).
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Solving a compound linear inec Solve the compound inequality. 4v+3<=27 or ,2v-4>=0
The solution of the inequaltiy is v <= 6 or v >= 2.
To solve the compound inequality 4v+3<=27 or 2v-4>=0, we need to solve each inequality separately and then combine the solutions.
For the first inequality, 4v+3<=27, we can isolate the variable on one side of the inequality by subtracting 3 from both sides:
4v <= 24
Next, we can divide both sides by 4 to get:
v <= 6
For the second inequality, 2v-4>=0, we can isolate the variable on one side of the inequality by adding 4 to both sides:
2v >= 4
Next, we can divide both sides by 2 to get:
v >= 2
Now, we can combine the solutions to get the final solution for the compound inequality:
v <= 6 or v >= 2
This means that the solution set includes all values of v that are less than or equal to 6 or greater than or equal to 2.
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A=20 and b=15 what is the value of cos0?
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem to find the length of the hypotenuse
a² + b² = c²
20² + 15² = c²
400 + 225 = c²
625 = c²
25 = c
Cosine is adjacent over hypotenuse, so
20/25 = 4/5
The net profit in dollars per day for a small business owner is given by the equation f(x)= -0.1x2 + 8x +5, where x is the number of employees he hires. If he hires the number of employees that will maximize his profit, what will his profit be in dollars per day? Enter an exact number.
The maximum profit is $165 per day when the business owner hires 40 employees.
To find the maximum profit, we need to find the vertex of the quadratic function f(x)= -0.1x2 + 8x +5. The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -0.1 and b = 8.
x = -8/(2*-0.1) = -8/(-0.2) = 40
Now, we can plug in the x-value of the vertex into the function to find the maximum profit:
f(40) = -0.1(40)2 + 8(40) + 5 = -0.1(1600) + 320 + 5 = -160 + 320 + 5 = 165
Therefore, the maximum profit is $165 per day when the business owner hires 40 employees.
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If h(x) = (-x + 1)2 – 5 and g(x) = -x – 2, then (hog)(x) = ___ ? A. -73 + 8x + 8 I B. -x2 + 2x + 2 C. -22 D. -22 +61 +4 E. 12 + 6x +4 32.
If h(x) = (-x + 1)2 – 5 and g(x) = -x – 2, then (hog)(x) will be B. -x2 + 2x + 2.
If h(x) = (-x + 1)2 – 5 and g(x) = -x – 2, then (hog)(x) = (h(g(x)). This means that we need to plug in the value of g(x) into the equation for h(x) and simplify. To get this result, first use the chain rule:
(hog)(x) = h(g(x)).
So, (hog)(x) = h(g(x)) = h(-x-2) = (-(x)-2+1)2 – 5 = (-x-1)2 – 5
Expanding the square, we get:
(hog)(x) = (-x-1)(-x-1) – 5 = x2 + 2x + 1 – 5 = x2 + 2x - 4
Therefore, the correct answer is B. -x2 + 2x + 2.
Answer: B. -x2 + 2x + 2
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7 divided by 1 and three thirds
Answer: 2.1429
Step-by-step explanation:
The answer is 2.1429. This is because 7 divided by 1 is 7, and 7 divided by three thirds is the same as 7 divided by 1.5, which is equal to 4.6666. Therefore, 7 divided by 1 and three thirds is equal to 7 divided by 4.6666, which equals 2.1429.
At the fair, the Double Shot
ride costs $6. 00 per ride. The
operator of the ride muchi pay
$200 per day for the ride
rental and $65 per day for a
safety inspection. If he wants
to inake a profit of at least
$1,000 each day, what is the
minimum number of people
that must ride the Double
Shot?
The minimum number of people is not possible for the given situation operator has to revise the cost.
Let us consider the minimum number of people ride the Double Shot be x.
Cost per ride = $6.00
Revenue earned from the ride = $6.00x
Rental fee of the ride = ($200).
Safety inspection fee = ($65)
Cost of the rides = 6x
⇒ Total Cost = $200 + $65 + ($6.00)x
Profit of at least $1,000 each day.
This implies,
Revenue ≥ Total Cost + Desired Profit
Substituting the expressions for revenue and total cost,
$6.00x ≥ $200 + $65 + ($6.00)x + $1,000
Simplifying the above expression we get,
$6.00x ≥ $1,265 + ($6.00)x
Subtracting ($6.00)x from both sides we get,
$0.00x ≥ $1,265
⇒No solution for x, because the number of riders cannot be negative.
⇒Operator must either increase the price per ride, decrease the costs, or revise their profit goal.
Therefore, for the given cost it is impossible to get the minimum number of people.
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state the values of sec x, csc x, and cot x if x is an angle in standard position and the terminal side passes through (6,-5)
pls help
The values of sec x, csc x, and cot x are:
sec x = sqrt(61)/6
csc x = -sqrt(61)/5
cot x = -6/5
What is the Pythagoras Theorem?
Pythagoras Theorem is the way in which you can find the missing length of a right-angled triangle.
We can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the terminal side and the x- and y-axes. Then, we can use the definitions of the trigonometric ratios to find the values of sec x, csc x, and cot x.
Let r be the length of the hypotenuse:
r = sqrt(6^2 + (-5)^2) = sqrt(61)
Then, we have:
cos x = adjacent/hypotenuse = 6/sqrt(61)
sin x = opposite/hypotenuse = -5/sqrt(61)
From these, we can find:
sec x = hypotenuse/adjacent = sqrt(61)/6
csc x = hypotenuse/opposite = -sqrt(61)/5 (Note that csc x is negative because sin x is negative in the third quadrant)
cot x = adjacent/opposite = -6/5
Hence, the values of sec x, csc x, and cot x are:
sec x = sqrt(61)/6
csc x = -sqrt(61)/5
cot x = -6/5
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From the sum of 2x –2 y - 24 and 2 y + 24, subtract -4x –2 y + 12
The final expression after the subtraction is -6x + 4y + 12.
The given expression is:
(2x - 2y - 24 + 2y + 24) - (-4x - 2y + 12)
Simplifying the expression inside the parentheses, we get:
2x - 2y + 2y + 24 - 4x + 2y - 12
Combining like terms, we get:
(-2x + 2y + 2y) + (24 - 12) - 4x
Simplifying further, we get:
-2x + 4y + 12 - 4x
Combining like terms, we get:
-6x + 4y + 12
Therefore, the final expression after the subtraction is -6x + 4y + 12.
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Been stuck on this assignment for a while and it's overdue. I want to turn it in today. Can someone help me get a head start so I can get it done today? This would be a nice birthday present, I'm 18 on March 1 :)
Answer:
Its mostly a step by step process
Step-by-step explanation:
Just Put your full name and the date your depositing the money where the date is and how many bills your depositing how many coins if you don't have coins don't answer it the total amount would be 800 and the net deposit. I added a link just in case. Happy birthday btw.
Select all the trinomials that have (3x + 2) as a factor.
6x² +19x+10
6x²-x-2
6x² +7x-3
6х2 - 5x - 6
-
12x²-x-6
Answer: To check if (3x + 2) is a factor of a trinomial, we can use long division or synthetic division. However, we can also use the factor theorem, which states that if f(c) = 0 for a polynomial f(x) and a constant c, then (x - c) is a factor of f(x).
In this case, we can use the factor theorem with c = -2/3 to check if (3x + 2) is a factor:
f(-2/3) = 0 if and only if 3(-2/3) + 2 = 0, which is true. Therefore, (3x + 2) is a factor of f(x) if and only if f(-2/3) = 0.
Using this method, we can check each trinomial:
6x² +19x+10: f(-2/3) = 0. Therefore, (3x + 2) is a factor of 6x² +19x+10.
6x²-x-2: f(-2/3) = 0. Therefore, (3x + 2) is a factor of 6x²-x-2.
6x² +7x-3: f(-2/3) ≠ 0. Therefore, (3x + 2) is not a factor of 6x² +7x-3.
6х2 - 5x - 6: f(-2/3) ≠ 0. Therefore, (3x + 2) is not a factor of 6х2 - 5x - 6.
12x²-x-6: f(-2/3) ≠ 0. Therefore, (3x + 2) is not a factor of 12x²-x-6.
Therefore, the trinomials that have (3x + 2) as a factor are:
6x² +19x+10
6x²-x-2
Note: We could also use long division or synthetic division to confirm our results.
Step-by-step explanation:
you spend 8% doing homework if you had to add 4% of your time to doing homework, how many hours a day would you spend doing homework now?
The number of hours one would spend doing homework now would be; 2.88 hours.
What is the number of hours spent doing homework now?As evident in the task content; One spends 8% doing homework, if one adds 4% more.
The total percent of time spent doing homework is; 12%.
Since there are 24 hours in a day; it follows that the number of hours spent doing one's homework is;
= 12% of 24 = 0.12 × 24.
= 2.88 hours.
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Provide an example of three different types of data where the different measures of central tendency could be utilized to 'best' describe the average.
Please do not write in cursive
There are several different measures of central tendency that can be used to describe the average of a data set. The three most common measures of central tendency are the mean, median, and mode. Each of these measures can be used to describe different types of data. Here are three examples of different types of data and the measures of central tendency that can be used to best describe the average:
Continuous data - Mean
The mean is the most commonly used measure of central tendency and is best used for continuous data, such as heights or weights. To calculate the mean, you add up all of the data points and divide by the number of data points. For example, if you have the following data set: 2, 4, 6, 8, 10, the mean would be (2 + 4 + 6 + 8 + 10) / 5 = 6.
Ordinal data - Median
The median is the middle value in a data set and is best used for ordinal data, such as rankings or scores. To calculate the median, you first need to order the data set from smallest to largest. Then, if there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values. For example, if you have the following data set: 1, 2, 3, 4, 5, the median would be 3.
Nominal data - Mode
The mode is the most frequently occurring value in a data set and is best used for nominal data, such as categories or names. To calculate the mode, you simply count how many times each value appears in the data set and choose the one that appears most frequently. For example, if you have the following data set: A, A, B, B, B, C, C, the mode would be B.
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Looking at the merry-go-round above, if Max begins where it says "start", what is the
the shortest distance that Max is from the wall when the merry-go-round starts?
____feet (Write only the numbers)
Looking at the merry-go-round above, if Max begins where it says "start", what is the
shortest distance that Max will be from the wall during the ride?
___feet
the first answer is 40
the second answer is 15
if Max is at "start," he is 40ft away from the wall.
40 - 25 = 15ft
What is the common denominator of 7/9 and 6/7
Answer: 126
Step-by-step explanation: I belive that is the answer
Melanie owns a food truck that sells tacos and burritos. She on
ingredients to make 102 tacos or burritos.Write an inequality t
possible values for the number of tacos sold, t, and the number
that would satisfy the constraint.
The inequality is represented as t + b ≤ 102 , where t is the number of tacos and b is the number of burritos
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of tacos be = t
Let the number of burritos be = b
The total number of burritos or tacos be = 102
On simplifying , we get
t + b = 102
So , the maximum number of tacos and burritos to be sold is
t + b ≤ 102
Hence , the inequality is t + b ≤ 102
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Consider the line ( y=7 x-7) Find the equation of the line that is parallel to this line and passes through the point (-6,6) . Find the equation of the line that is perpendicular to this line
The equation of the line that is parallel to the line y = 7x - 7 and passes through the point (-6,6) is y = 7x + 48. The equation of the line perpendicular to the resulting line is y = (-1/7)x + 36/7.
To find the equation of a line that is parallel to another line and passes through a given point, we can use the slope-intercept form of a line (y = mx + b), where m is the slope and b is the y-intercept.
Since parallel lines have the same slope, the slope of the new line will also be 7.
To find the y-intercept, we can plug in the given point (-6, 6) into the equation and solve for b:
6 = 7(-6) + b
b = 6 + 42
b = 48
So the equation of the parallel line is y = 7x + 48.
To find the equation of a line that is perpendicular to another line, we can use the fact that the slope of a perpendicular line is the negative reciprocal of the original slope. So the slope of the perpendicular line will be -1/7.
Again, we can plug in the given point (-6, 6) into the equation and solve for b:
6 = (-1/7)(-6) + b
b = 6 - 6/7
b = 36/7
So the equation of the perpendicular line is y = (-1/7)x + 36/7.
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p please help I have no clue.
Answer:
11 meters, 4.1 centimeters
Step-by-step explanation:
If for every centimeter it equals 2 meters, we can use this expression to solve for the width of the building in real-life:
5.5 × 2 = 11Therefore, the width of the building is 11 meters in real life.
If the real-life height of the building is 8.2 m tall, then we can use this expression:
8.2 ÷ 2 = 4.1We multiplied the first time, so why are we dividing now?Because we were given the drawings width the first time, we needed to multiply by 2 to get the real-life height in meters. But now that we are given the real-life height, we now need to divide by 2 to get the height of the drawing in centimeters.
Therefore, the width, in meters, of the building in real life is 11 meters, and the height of the drawing is 4.1 centimeters.
\ all shoe 25 PERCENTAGE says the sign. what will be the sale
price of pair of dress shoes originally at $69.98 type o-*
The sale price of a pair of dress shoes originally at $69.98 with a 25% discount will be $52.49.
To find the sale price, you need to calculate the discount amount and subtract it from the original price.
Step 1: Find the discount amount by multiplying the original price by the discount percentage.
$69.98 x 0.25 = $17.49
Step 2: Subtract the discount amount from the original price to get the sale price.
$69.98 - $17.49 = $52.49
Therefore, the sale price of the dress shoes will be $52.49.
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A tennis player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 172 wins, and the second simulation returned 205 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.
The confidence interval from the first simulation is (0. 149, 0. 195), and the confidence interval from the second simulation is (0. 180, 0. 230). For the first trial, we are 90% confident the true proportion of wins with the new game strategy is between 0. 149 and 0. 195. For the second trial, we are 90% confident the true proportion of wins with the new game strategy is between 0. 180 and 0. 230.
The confidence interval from the first simulation is (0. 149, 0. 195), and the confidence interval from the second simulation is (0. 180, 0. 230). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0. 149 and 0. 195. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0. 180 and 0. 230.
The confidence interval from the first simulation is (0. 152, 0. 192), and the confidence interval from the second simulation is (0. 184, 0. 226). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0. 152 and 0. 192. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0. 184 and 0. 226.
The confidence interval from the first simulation is (0. 152, 0. 192), and the confidence interval from the second simulation is (0. 184, 0. 226). For the first trial, we are 90% confident the true proportion of wins with the new game strategy is between 0. 152 and 0. 192. For the second trial, we are 90% confident the true proportion of wins with the new game strategy is between 0. 184 and 0. 226
The correct answer is: The confidence interval from the first simulation is (0. 149, 0. 195), and the confidence interval from the second simulation is (0. 180, 0. 230). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0. 149 and 0. 195. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0. 180 and 0. 230.
What is the confidence interval?The confidence interval is a range of values that is likely to contain the true proportion of wins with the new game strategy based on the sample data.
A 95% confidence interval means that if the simulation is repeated many times, the proportion of wins with the new game strategy will fall within this range 95% of the time.
The correct interpretation of the confidence intervals is that for the first simulation, we are 95% confident that the true proportion of wins with the new game strategy is between 0.149 and 0.195.
This means that if we were to repeat the simulation many times, we would expect the true proportion of wins to fall between these values in 95% of the trials.
Similarly, for the second simulation, we are 95% confident that the true proportion of wins with the new game strategy is between 0.180 and 0.230.
Therefore, the correct answer is an option (b).
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