Answer:
D
Step-by-step explanation:
D.D.D..D.D.D.D.D.D.D.D D D. D.D.D.
Angel owns a food truck that sells tacos and burritos. He only has enough ingredients to make 126 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, � t, and the number of burritos sold, � b, that would satisfy the constraint.
The inequality that would represent given condition will be
t + b <= 126 (linear inequality).
What is a linear inequality ?
In mathematics, inequality denotes a mathematical expression in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.
The symbols "< and '>' represent strict inequalities, whereas ‘≤’ and ‘≥’ represent slack inequalities. A linear inequality appears to be a linear equation, however there is a difference in the formula.
Now,
As, we know that the total of the tacos and burritos cannot exceed 126, we know that that total must be less than or equal to 126, giving us our linear inequality:
t + b <= 126
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Find the measure of angles x, y, and z in the figure. !SHOW WORK!
Diego measured the length of a pencil to be 20 cm. The actual length of the pencil is 23 cm. Select the percent error for Diego’s measurement?
Answer: In this case, the experimental value is 20 cm (the length that Diego measured) and the theoretical value is 23 cm (the actual length of the pencil). Plugging these values into the formula, we get:
percent error = (|20 - 23| / 23) x 100 = (3 / 23) x 100 = 0.13 x 100 = 13%
So the percent error for Diego's measurement is 13%.
Step-by-step explanation:
Solve for X, Leave in simplest radical form.
When the number under the root sign has no square factors, a radical is said to be in its simplest form.
Why is it called a radical?In the 14th century, the term radical was first used. It was derived from the Late Latin radicalis, which was derived from the Latin radic-, radix, which meant "root." The definition "of, connected to, or proceeding from a root" underlies the first usage of the word "radical," which are all about actual roots.
Radical: The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions. The radical symbol's "radicand" is a number or phrase. A radical equation is one that uses variables as radicands in radical expressions.
Using the Pythagorean theorem, x = 27:
7² + ?² = 9²\sx² = 81 - 49\x = √32\x = 4√2
For the lower portion:
x² + 2² = (4√2)
²\x² + 4 = 32\x² = 28\x = √28\x = 2√7
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Andre and Elena are saving money. Andre starts with $100 in his savings account And adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week. After four weeks, who has more money in their savings account? Explain how you know
Answer:
Andre has more money because he has $120 in his account after four weeks and Elena has $90 in her account after four weeks and $120 in more than $90.
Step-by-step explanation:
$5 * 4 = $20
$20 * 4 = $80
$100 + $20 = $120
$10 + $80 = $90
Andre = $120
Elena = $90
This is another math assignment, that I need help with ASAP! It is in the picture, Thanks
The Pearson correlation coefficient of the data is -0.6619
What is Pearson Correlation CoefficientThe Pearson correlation coefficient (PCC, for short) is a measure of the linear correlation between two variables. It is a value between -1 and 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The PCC is calculated as the covariance of the two variables divided by the product of their standard deviations. It is widely used to measure the strength of a linear association between two continuous variables.
From the data given;
X Values
∑ = 28
Mean = 4
∑(X - Mx)2 = SSx = 28
Y Values
∑ = 37
Mean = 5.286
∑(Y - My)2 = SSy = 59.429
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = -27
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -27 / √((28)(59.429)) = -0.6619
r = -0.6619
This is a moderate negative correlation, which means there is a tendency for high X variable scores to go with low Y variable scores (and vice versa).
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How do you graph y =- 2x?
The graph of y = -2x is a straight line passing through origin with slope -2
Here we have been given an equation.
To graph the equation y = -2x, we find the coordinates of the points satisfying y = -2x
For x = 0,
y = -2(0)
y = 0
For x = 2
y = -2(2)
y = -4
For x = -2,
y = -2(-2)
y = 4
For x = 3,
y = -2(3)
y = -6
So, we get the coordinates (0, 0), (2, -4), (-2, 4), (3, -6)
Now we draw a line passing through points (0, 0), (2, -4), (-2, 4)
The graph is as shown below.
The slope of the line y = -2x is -2
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bayes's theory shows that the probabilitythat awill occur ifb occurs will generally differ from the probability that b will occur if a occurs.? to not account for this is a common mistake in the medical profession. for instance, in studies in germany and the united states, researchers asked physicians to estimate the probability that an asymptomatic woman between the ages of 40 and 50 who has a positive mammogram actually has breast cancer if 7 percent ofmam- mograms show cancer when there si none.i n addition, the doctors were told that the actual incidence was about 0.8 percent and that the false-negative rate about 10 percent. putting that al together, one can use bayes's methods to determine that a positive mammogram si due to cancer in only about 9 percent of the cases. in the german group, however, one-third of the physicians concluded that the prob. ability was about 90 percent, and the median estimate was 70 per- cent. in the american group, 95 out of 100 physicians estimated the probability to be around 75 percent.
Bayes's Theory is an important tool for understanding probability and for determining the likelihood of certain outcomes occurring.
It states that the probability of an event occurring if another event has already occurred is generally different from the probability of the second event occurring if the first one has already occurred. This is a common mistake made by medical professionals, particularly when interpreting test results.
For example, in a study conducted in both Germany and the United States, researchers asked physicians to estimate the probability that an asymptomatic woman between the ages of 40 and 50 who has a positive mammogram actually has breast cancer. The physicians were told that 7 percent of mammograms show cancer when there is none, the actual incidence of cancer is 0.8 percent, and the false-negative rate is about 10 percent. Through the use of Bayes's Theory, it can be determined that a positive mammogram is due to cancer in only about 9 percent of the cases.
However, in the German group, one-third of the physicians concluded that the probability was about 90 percent, and the median estimate was 70 percent. In the American group, 95 out of 100 physicians estimated the probability to be around 75 percent. This example shows how medical professionals can make mistakes when interpreting test results, due to a lack of understanding of Bayes's Theory.
In order to avoid making such mistakes, medical professionals need to be educated on Bayes's Theory and its importance in determining the probability of certain outcomes occurring. By doing so, medical professionals can increase their accuracy in interpreting test results and make better decisions for their patients.
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Francis is at the state fair. A fair concession stand is selling funnel cakes for $3.50 and deep-fried Oreos for $2.00. Write an equation in standard form that models the number of funnel cakes x and the number of deep-fried Oreos y Francis can buy if he spends $42.00.
The equation that shows the situation is; 3.5x + 2y = 42.
What is the equation?We know that sometimes in mathematics, the problem can be given in the form of a sentence and then the first step in the solution of the problem would be to rewrite the sentence into an equation.
In this case, we have that; Francis is at the state fair. A fair concession stand is selling funnel cakes for $3.50 and deep-fried Oreos for $2.00. Given that the total amount spent is $42.00 when number of funnel cakes x and the number of deep-fried Oreos y. The equation is; 3.5x + 2y = 42.
We now see that;
Total number= 42
Each deep-fried Oreos cost $ 3.5 and we have y number of it
Each funnel cake cost $2.00 and we have x of it.
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Explain why -7 has a geater value than absolute value of 6
Yes, -7 has greater absolute value than 6.
What is a absolute value ?
The absolute value of a number is the distance from the origin of a number line (i.e. 0). It is denoted as |a|, which represents the magnitude of any integer 'a'. Regardless of sign, the absolute value of any integer, positive or negative, will be the real a number. It is denoted by two vertical lines |a| and is known as the modulus of a.
For example, the absolute value of 5 is the same for both 5 and -5.
as |-5| = +5 and |+5| = +5
Now,
As the distance of -7 in magnitude from zero is greater than distance of 6 from zero.
Hence,
-7 has greater absolute value than 6.
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Answer:
The absolute value of -7 is 7. 7 is greater than 6.
Step-by-step explanation:
What is the sum of the fractions? Use the number line and equivalent fractions to help find the ans -3/4 + 1/2
Answer: is 5/4
Step-by-step explanation:
Writing as a fraction of the expression 3/4+1/2 with the fraction calculator
To calculate the addition fraction, the fractions are reduced to a common denominator and then added numerators.
We obtain 3/4+1/2=3⋅2+44⋅2
The GCD of the fraction is equal to 2.
By dividing the numerator and denominator by the GCD, we obtain: 10/8=5/4
The result of the calculation is : 3/4+1/2=54
Possible calculations with the fraction: 5/4
6. It costs $112 to turf a lawn of area 56 m². How many dollars would it cost to turf a lawn of area 77 m²?
Answer:
(112/56)*77 = $154
Step-by-step explanation:
Answer:
154
Step-by-step explanation:
112/56 = $2 per sq meter. so 77*2 = 154$
Find the value of r so the line that passes through the pair of points has the given slope. (r, 2), (6, 3), m=12.
The value of r is 4 , so the line that passes through the pair of points has the given slope. (r, 2), (6, 3), m=1/2.
The ratio of the change in the y coordinate to the change in the x coordinate is known as the slope of a line. The terms Y and x, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. where "m" denotes a line's slope. The outcome is that a line's slope is tan.
Two points along the selected line should have their coordinates determined. The difference between these two places' y-coordinates should be determined (rise).
The difference between these two places' x-coordinates should be determined (run). Divide the y-coordinate difference by the x-coordinate difference (rise/run or slope).
Given Points are (r, 2), (6, 3) , slope m = 1/2
(3 - 2)/(6 - r) = (1/2)
Simplifying the above equation, then we get
6 - r = 2
r = 4
Therefore, (r, 2), (6, 3), m = 1/2 the slope of the line passing through each pair of points is r = 4.
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What is the slope of the line represented by the equation 3x 4y 12?
The slope of the line whose equation 3x + 4y = 12 is -3/4.
In the given question, we have to find the slope of the line whose equation 3x + 4y = 12.
The given equation is 3x + 4y = 12.
We need the equation of the line with slope-intercept form. To put it another way, we need y=mx+b to take the form ax+by=c. In the slope-intercept form, M is the slope and b is the y-intercept.
By isolating the y, the preceding equation can be transformed into the general form of a line to get the line's slope.
Subtract 3x on both side, we get
4y = -3x + 12
Divide by 4 on both side, we get
y = -3/4 x + 12/4
y = -3/4 x + 3
By comparing the equation y = mx + c
m = -3/4
Hence, the slope of the line whose equation 3x + 4y = 12 is -3/4.
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Given: trapezoid WXYZ with mid segment ST. If WZ = 15 and ST = 20, find the length of XY
The scale of a model train is 1.5 to 2 yards if the real train has an engine car that is 20, what is the length in inches of the model engine car ?
Answer: 15
Step-by-step explanation:
1.5/2 = x/20
2x = 30
x = 15
The volume of a cake is a function of it's width so that V(w)=1/2w³ +5/2w². Find the volume of the cake when the with is 6inches. I think I have the correct answer but need someone to check. I got 196
The volume of the cake is 198 cubic inches.
How to determine the volume of the cakeWe are given that the volume of the cake is a function of its width:
V(w) = 1/2w^3 + 5/2w^2
To find the volume when the width is 6 inches, we simply substitute 6 for w in the equation:
V(6) = 1/2(6^3) + 5/2(6^2)
Expanding the exponents and simplifying:
V(6) = 1/2(216) + 5/2(36)
V(6) = 108 + 90
V(6) = 198 cubic inches
So the volume of the cake when the width is 6 inches is 198 cubic inches.
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The area of a rectangular pool is given by the trinomial 12x²-14x-6. Could a possible
dimension of the pool be (6x + 1)(2x-6)? Explain why or why not.
Can anyone help me with this?
A composite function, also known as f of g of x, is formally denoted as f(g(x)) or (f g)(x), and it requires the substitution of x = g(x) in f. (x). Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, distinct function.
What is composite function?The composite function F of G of X is composed of the two functions f(x) and g. (x). Let's use an actual situation to better comprehend f of g of x. We employ the slicer and the fryer for making french fries. Assume that x is a potato, that the fryer is performing the function f(x), and that the slicer is performing the function g(x) (frying the potato).
A composite function, also known as f of g of x, is formally denoted as f(g(x)) or (f g)(x), and it requires the substitution of x = g(x) in f. (x). Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, unique function. The output of one function becomes the input of another function in f of g of x. It can be compared to a sequence of tools or processes.f(x) = 2x + 3 and g(x) = x2
f of g of x = (f ∘ g)(x) = f(g(x))
g of f of x = (g ∘ f)(x) = g(f(x))
How to Find F of G of x?We are aware that anytime we simplify a mathematical equation, we always operate on the elements inside the brackets first. Therefore, in order to obtain f(g(x)), we must first identify g(x), which we must then use as the input for f(x) and simplify. Here is an illustration to help you comprehend. Assume that g(x) = x2 and f(x) = 2x + 3. We'll discover f(g(3)).
Step 1: Find g(3).g(3) = 32 = 9.
Step 2: Find f(g(3)) by using g(3) as input for f(x).f(g(3)) = f(9) = 2(9) + 3 = 18 + 3 = 21.
Then
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What is the exact distance from − 1 4 to 6 − 2 )? 4 points units units units units?
85 units is the distance between the two points (-1, 4) and (6, -2).
What is the distance?The total velocity of an object defines its distance regardless of direction.
Regardless of where it started or ended, distance is the amount of space that an object has covered.
We can calculate an object's actual size by knowing how far it is from us.
The formula shown below is frequently used to calculate the separation between two points: d=((x2 - x1)2 + (y2 - y1)2)
The distance formula is as follows:
d=((x2 - x1)2 + (y2 - y1)2)
Points are: (-1, 4) and (6, -2)
Now, use the numbers in the formula above to calculate the result given below:
d=((6+1)2 + (-2-4)2)
d=((7)2 + (-6)2)
d=(49+36)
d=85 units
Therefore, 85 units is the distance between the two points (-1, 4) and (6, -2).
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please hurry!! A function, g(x), is shown below. It is a shifted graph of y = |x|. Choose the equation for g(x) that matches the graph shown. y 4 X
o g(x) = -x - 3| +3
o g(x) = -3|ax| +3
o g(x) = x - 3| +3
o g(x) = 3x - 3|
Answer:
The first one. (A)
Step-by-step explanation:
A easy way to find these answers is to type the problem exactly the way it is into demos.
What is the function f/x )= 1 x called?
The mathematical function f/x= 1 x is known as the reciprocal function.
It is a mathematical operation that takes a number and produces its reciprocal, or inverse, as the result.
For example, if you input the number 2 into the reciprocal function, it will return the result of 1/2, or 0.5. The reciprocal function is also known as the multiplicative inverse, since multiplying a number by its reciprocal will always result in the number 1.
The reciprocal function is an important mathematical tool used to calculate the inverse of a given number. It is an essential element of many algebraic equations, and can be used in a variety of ways to simplify complex problems.
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What is the slope of the line that passes through the points (-5, 6) and (-9, -6)?
Write your answer in simplest form.
Answer: Slope = 3
Step-by-step explanation:
Identify the coefficient in the expression below.
6h²-9
1.) -9
2.) h
3.) 2
4.) 6
6 will be the Coefficient of the given expression.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the expression below.
6h²-9
To find the coefficient of this expression:
A coefficient is an integer that is written along with a variable or it is multiplied by the variable. In other words, a coefficient is the numerical factor of a term containing constants and variables.
Thus, in our case,
Coefficient = 6
Constant = 9
therefore, the Coefficient of the given expression will be 6.
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What’s the domain and range
Another technique for defining the scope and range of functions is to utilize graphs.
What is the difference between domain and range?The collection of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this collection (x). The collection of numbers that the function assumes is known as its range. Following the insertion of an x value, the function outputs this sequence of values.
Graphs can be used as a second method to define the domain and range of functions. A graph's domain is the entire set of input values represented on the x-axis because the term "domain" refers to the set of potential input values. The various output values are displayed on the y-axis and make up the range.
The set of all possible inputs and outputs is known as a function's domain, and the same is true for its range. It is crucial to consider a function's domain and range. The range contains all of the function's output values, while the domain contains all of the real numbers that can be used as input values.
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how can you determine the coordinates of S(-7,1) after a reflection in the line y=3
The coordinates of S(-7,1) after a reflection over the line y = 3 is given as follows:
(-7,5).
How to obtain the coordinates after the reflection?The coordinates of the original point in this problem are given as follows:
S(-7,1).
The reflection line is given as follows:
y = 3.
The reflection line is an horizontal line, meaning that:
The x-coordinate will remain constant.The y-coordinate will be the same distance from the reflection line, but in an opposite direction.The y-coordinate of S is 2 units below of the reflection line, hence after the reflection it will be two units above, as follows:
3 + 2 = 5.
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Identify the triangle as scalene isosceles or equilateral A(0,-4) B(0,-9) C(-2,-5)
The triangle that has the coordinates as A(0,-4) B(0,-9) C(-2,-5) is; A scalene Triangle
How to find the distance between two coordinates?The formula for the distance between two coordinates is;
D = √[(y₂ - y₁)² + (x₂ - x₁)²]
Thus;
Distance AB = √[(-9 + 4)² + (0 - 0)²]
Distance AB = √25
Distance AB = 5
Distance BC = √[(-5 + 9)² + (-2 - 0)²]
Distance BC = √20
Distance CA = √[(-4 + 5)² + (-2 - 0)²]
Distance CA = √5
Since the three sides all have different lengths, then they the triangle is said to be a scalene triangle.
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Given f(x) = -4 (x - 12)^2 + 5 what is the value of f(6)
The function f(x) = -4(x-12)^2+5 yields a value of f(6)=-139.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The given function is f(x) = -4(x-12)^2+5
f(x) = -4(x-12)²+5
Apply the formula for (a - b)²=(a² - 2ab + b²)
f(x) = -4(x-12)²+5
-4[x² - 24x + 144] + 5
To find the value of f(6), substitute the value of x as 6.
= -4[(6)² - 24(6) + 144] + 5
Simplify the expression inside the brackets -
= -4 [36 - 144 + 144] + 5
= -4 (36) + 5
Simplify the expression further to get the value -
= -144 + 5
= -139
Therefore, the value for f(6) is obtained as -139.
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What is the distance of point (- 5/6 from the Y axis?
Due to the fact that the x coordinates of any two points allow us to calculate their separation from the y-axis, we may deduce that the distance between (-5, 6) and the y-axis is 5 units.
What do we mean by distance?Both statistical and qualitative methods can be used to calculate the distance between two items or points.
The word "distance" in physics can refer to an exact measurement or, more frequently, to an estimate based on a number of different factors.
The length of the line segment that connects any two points on a plane provides the distance between those spots.
The following formula can be used to calculate the separation between two points:
d=((((x2 - x1)2 + (y2 - y1)2)
So, the given points are:
(-5, 6)
We may conclude that the gap between (-5, 6) and the y-axis is 5 units because the x coordinates of any two points show us how far apart they are from the y-axis.
Therefore, due to the fact that the x coordinates of any two points allow us to calculate their separation from the y-axis, we may deduce that the distance between (-5, 6) and the y-axis is 5 units.
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determine the probability the lightbulb lasts at least one year (at least 365 complete days of use before failure).
The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).
To determine the probability that a lightbulb lasts at least one year, we need to know the failure rate of the lightbulb and its distribution. For example, if the lightbulb follows a exponential distribution with parameter λ, the probability that it lasts at least one year (t = 365 days) can be calculated as:
P(T ≥ 365) = 1 - P(T < 365) = 1 - F(365),
where F(365) is the cumulative distribution function (CDF) of the exponential distribution evaluated at t = 365. The CDF of the exponential distribution is given by:
F(t) = 1 - e^(-λt),
so the probability that the lightbulb lasts at least one year is:
P(T ≥ 365) = 1 - e^(-λ * 365)
The value of λ depends on the specific lightbulb and its failure rate, which needs to be determined from data or from the manufacturer. Once the value of λ is known, the above equation can be used to calculate the probability that the lightbulb lasts at least one year.
Therefore, The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).
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The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).
To determine the probability that a lightbulb lasts at least one year, we need to know the failure rate of the lightbulb and its distribution. For example, if the lightbulb follows a exponential distribution with parameter λ, the probability that it lasts at least one year (t = 365 days) can be calculated as:
P(T ≥ 365) = 1 - P(T < 365) = 1 - F(365),
where F(365) is the cumulative distribution function (CDF) of the exponential distribution evaluated at t = 365. The CDF of the exponential distribution is given by:
F(t) = 1 - e^(-λt),
so the probability that the lightbulb lasts at least one year is:
P(T ≥ 365) = 1 - e^(-λ * 365)
The value of λ depends on the specific lightbulb and its failure rate, which needs to be determined from data or from the manufacturer. Once the value of λ is known, the above equation can be used to calculate the probability that the lightbulb lasts at least one year.
Therefore, The probability that the lightbulb lasts at least one year is: P(T ≥ 365) = 1 - e^(-λ * 365).
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