Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me
Is it possible to use substitution to solve a system of linear equations if one equation represents a horizontal line and the other equation represents a vertical line?
Answer:
NoStep-by-step explanation:
Horizontal line:
y = kVertical line:
x = mThe intersection is (m, k)
No substitution is possible, as no variables to substitute
No
One is horizontal lines
That should be in this form
y=aa is any number
A line is vertical
x=bLook at both equations
a and b are not equal plus there is no x in horizontal line and no y in vertical line.
There is nothing to substitute
The solution will come (b,a)
a restaurant offers a choice of 4 salads, 5 main courses, and 3 desserts. how many possible 3-course meals are there?
Using the Fundamental Counting Theorem, it is found that there are 60 possible 3-course meals.
Given,
In the question:
A restaurant offers a choice of 4 salads, 5 main courses, and 3 desserts.
To find the how many possible 3-course meals are there?
Now, According to the question:
Let's know:
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N=n_1\) × \(n_2\) × \(n_3\)... ×\(n_n\)
In this problem, considering the number of salads, main courses and desserts, we have that:
\(n_1=4 , n_2=5,n_3=3\)
The total number of options is given by:
N = 4 × 5 × 3
N = 60
Hence, Using the Fundamental Counting Theorem, it is found that there are 60 possible 3-course meals.
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Berechne jeweils die Höhe der Pyramiden!
a) V = 140 cm3
G = 28 cm2
h = ?
Answer:
untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:
Oberfläche = Grundfläche + Mantelfläche
Volumen = Grundfläche · Pyramidenhöhe : 3
Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).
JSXGraph v0.95 Copyright (C) see http://jsxgraph.org
ha = 5.83 cm
h = 5.00 cm
a = 6.00 cm
b = 6.01 cm
hb = 5.83 cm
V = 60.10 cm³
Ap = 106.11 cm²
AM = 70.05 cm²
AG = 36.06 cm²
– o + ← ↓ ↑ →
rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche
OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3
VP = AG · h : 3
VP = a · b · h : 3VP = a² · h : 3
Step-by-step explanation:
#semogamembantu
Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.
Answer:
1
Step-by-step explanation:
1+1=2
Click below for more info
helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
Exercise 6.3.4: Equivalence relations on strings. About D = {0,1}6. The following relations have the domain D. Determine if the following relations are equivalence relations or not. Justify your answers. (a) Define relation R: XRy if y can be obtained from x by swapping any two bits. (b) Define relation R: XRy if y can be obtained from x by reordering the bits in any way.
(a) The relation R defined as XRy if y can be obtained from x by swapping any two bits is not an equivalence relation on the domain D = {0, 1}^6. An equivalence relation must satisfy three properties: reflexivity, symmetry, and transitivity.
(b) The relation R defined as XRy if y can be obtained from x by reordering the bits in any way is an equivalence relation on the domain D = {0, 1}^6.
(a)
Reflexivity: For any string x, it should be possible to obtain x from x by swapping two bits. However, this is not always true. Swapping two identical bits would not change the string, violating reflexivity.
Symmetry: If y can be obtained from x by swapping two bits, then x can also be obtained from y by swapping the same two bits. This property holds true for the given relation since swapping the same two bits in reverse order results in the original string.
Transitivity: If y can be obtained from x by swapping two bits and z can be obtained from y by swapping two bits, then z should also be obtainable from x by swapping two bits. However, this property does not hold true for the given relation. It is possible that y can be obtained from x by swapping two bits, and z can be obtained from y by swapping two different bits, making it impossible to obtain z from x by swapping any two bits.
Therefore, since the relation R does not satisfy the reflexivity property, it is not an equivalence relation.
(b)
Reflexivity: For any string x, x can be obtained from itself by simply rearranging the bits in the same order, satisfying reflexivity.
Symmetry: If y can be obtained from x by rearranging the bits, then x can also be obtained from y by rearranging the bits in the same way. This property holds true for the given relation.
Transitivity: If y can be obtained from x by rearranging the bits and z can be obtained from y by rearranging the bits, then z can also be obtained from x by rearranging the bits. This property holds true since rearranging the bits in a specific order is independent of the other strings involved.
Therefore, since the relation R satisfies all three properties of an equivalence relation, it is an equivalence relation on the domain D.
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Assume that in a given year the mean mathematics sat score was 572, and the standard deviation was 127. a sample of 72 scores is chosen. What is the probability that the sample mean score is less than 567?
According to the Central Limit Theorem, for a sufficiently large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.
To calculate the probability, we need to convert the sample mean score to a z-score and then find the corresponding area under the standard normal distribution curve.
Calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 127 / sqrt(72)
SE ≈ 14.96
Calculate the z-score:
z = (X - μ) / SE
z = (567 - 572) / 14.96
z ≈ -0.334
Find the probability corresponding to the z-score:
We can find the area to the left of the z-score -0.334. Let's denote this probability as P(z < -0.334).
The probability that the sample mean score is less than 567 is approximately equal to P(z < -0.334).
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Irons is trying to lay out the bases for a game of kickball such that the infield is a square as shown. She would like bases to be 25 feet apart. She first placed home base and then places first and third base 25 feet from home base
How far to the nearest tenth of a foot should first base and third base be from each other justify.
The answer of the given question based on the Irons is trying to lay out the bases for a game of kickball such that the infield is a square the answer is first base and third base should be about 35.4 feet apart.
What is Pythagorean theorem?The Pythagorean theorem is fundamental concept in geometry that relates to three sides of right triangle. It states that in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of the squares of lengths of other two sides.
We can use the Pythagorean theorem to find this distance.
Let's call the distance between home base and first base "a". We know that the distance between home base and third base is also "a", because the infield is a square. We also know that the distance between home base and second base (which is the hypotenuse of the right triangle formed by home base, first base, and second base) is 25 feet.
Using the Pythagorean theorem, we can solve for "a":
a² + 25² = a² + a²
2a² = 25²
a² = (25²)/2
a = sqrt((25²)/2) ≈ 17.7 feet
So the distance between first base and third base should be approximately 35.4 feet (2a). Rounding to the nearest tenth of a foot, this is 35.4 feet. Therefore, first base and third base should be about 35.4 feet apart.
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given the graph of the function f(x)=1/x2 write the equation g(x)
horizontal compression by 1/5
vertical stretch by a factor of 7
reflection in y-axis
translation 10 units left and 1 unit down
Answer:g(x)
Step-by-step explanation:1/5 g (x)
Solve 7 x 3 and 1/5 A. twenty two and one fifths B. twenty two and two fifths C. twenty two and three fifths D. twenty two and four fifths
The expression "7 x 3" can be simplified by performing the multiplication:
7 x 3 = 21. The expression "1/5 A" cannot be simplified without knowing the value of A. Therefore, we cannot determine the answer to this question without additional information.
What is expression?A set of numbers, variables, and arithmetic operations that can be evaluated or squeezed together is known as an expression in mathematics. Although expressions come in a variety of shapes, they are always constructed using the fundamental components of numbers and mathematical operations including addition, subtraction, multiplication, division, exponents, and roots.
A mathematical expression can be as simple as a single value, such as "5" or "x," or it can be more complex, such as "2x + 3." In this instance, the terms "2x" and "3" as well as the addition operation make up the algebraic formula "2x + 3". The unknowable value "x," which can take on any integer, can be checked for a wide range of values in the equation.
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help me w this questions, i’ll give extra points!
Answer:
5
Step-by-step explanation:
5 × 5 × 5= 125 so 5 is the cube root
Answer:
5Step-by-step explanation:
I have this information memorized. The cube root of 125 is simply 5, because 5 x 5 x 5 = 125.
So your answer is 5.
(btw I'm actually 10 years old... I'm not kidding.)
2.8-4.4n-2n+7
QUICKLY BRAINLY IF CORRECT
Step-by-step explanation:
=9.8-6.4n
just add them together as easy as that
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS ASAP
Answer:
y=7x
Step-by-step explanation:
(co 3) sixty-seven percent of adults have looked at their credit score in the past six months. if you select 29 customers, what is the probability that at least 25 of them have looked at their score in the past six months?
The probability that at least 25 of the 29 customers have looked at their credit score in the past six months is:
P(X ≥ 25) = sum(P(X = i)) i = 25 to 29
Binomial Credit Score ProbabilityThis is a question of probability and statistics, specifically in the area of binomial distributions. The probability of a single event can be calculated using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Where:X = the number of successful outcomes (in this case, the number of customers who have looked at their credit score in the past six months)
k = the number of successful outcomes we want to know the probability of (in this case, 25)
n = the total number of trials or customers (in this case, 29)
p = the probability of a successful outcome (in this case, 0.67 or 67%)
To find the probability that at least 25 of the 29 customers have looked at their credit score in the past six months, we will need to use the cumulative binomial probability formula which isP(X ≥ k) = sum(P(X = i)) i = k to n
So the probability that at least 25 of the 29 customers have looked at their credit score in the past six months isP(X ≥ 25) = sum(P(X = i)) i = 25 to 29
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The student council is ordering
T-Shirts from a website. The T-shirts
cost $7 each and there is a shipping
fee of $15 for any amount ordered.
The student council wants to suspend
less than $100 on the T-shirts. Write
an inequality that can be used to find
X, the number of shirts the student
council can order?
ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions about their underage child’s healthcare treatment, and 7% stated that they were "almost always" involved.
The probability that three parents are involved" in making decisions about their underage child’s healthcare treatment is 0.7787.
What is probability?It should be noted that probability simply means the likelihood that something will happen.
In this case, ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions.
The probability of the involvement of the three parents will be:
= P(involvement)³
= (92%)³
= 0.92 × 0.92 × 0.92
= 0.7787
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Ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions about their underage child’s healthcare treatment, and 7% stated that they were "almost always" involved. Find the probability that three parents are involved" in making decisions about their underage child’s healthcare treatment,
A(n) ________ methodology aims for customer satisfaction through early and continuous delivery of useful software components developed by an iterative process using the bare minimum requirements.
An Agile methodology aims for customer satisfaction through early and continuous delivery of useful software components developed by an iterative process using the bare minimum requirements.
Agile methodology is a software development approach that emphasizes flexibility, collaboration, and iterative development. It focuses on delivering value to customers by prioritizing their satisfaction and adapting to changing requirements throughout the development process. Agile methodologies, such as Scrum or Kanban, promote regular and incremental delivery of working software components.
This allows customers to provide feedback early on, ensuring that the final product meets their needs. By using an iterative approach, Agile methodologies enable teams to continuously refine and improve the software based on customer feedback and changing priorities. The emphasis on delivering useful software components and involving customers throughout the development process sets Agile apart from traditional waterfall methodologies.
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A come with the radius 6 m and a height of 12 m
Therefore, The object is a cylinder with a volume of approximately 1357.17 cubic meters.
An object with the given dimensions has the shape of a cylinder. The formula to find the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Plugging in the values, we get V = π(6)^2(12) = 1357.17 cubic meters (rounded to two decimal places). Therefore, the object has a volume of approximately 1357.17 cubic meters
First, let's analyze the given information about the cone. We know that it has a radius (r) of 6 m and a height (h) of 12 m. With this information, we can find the volume (V) and surface area (A) of the cone.
To find the volume, we can use the formula:
V = (1/3)πr²h
To find the surface area, we can use the formula:
A = πr(r + l), where l is the slant height.
To find the slant height (l), we can use the Pythagorean theorem:
l = √(r² + h²)
Now, let's apply the formulas:
Volume: V = (1/3)π(6²)(12) = 144π m³
Slant height: l = √(6² + 12²) = √180 m
Surface area: A = π(6)(6 + √180) ≈ 248.35 m²
In summary, the cone has a volume of 144π m³ and a surface area of approximately 248.35 m².
Therefore, The object is a cylinder with a volume of approximately 1357.17 cubic meters.
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a rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle. what are the dimensions of the rectangle with maximum area?
As describes in geometry the area of the rectangle = 288cm
what is geometry ?
The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.
solution
radius of semicircle = 12
diameter will be = 24 and this is the length of rectangle s given in the question
area of the rectangle = l*b
= 24*12
area of the rectangle = 288cm
Hence the area of the rectangle = 288cm
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Which inequality does the graph represent?
Answer:
Step-by-step explanation:
-2
Answer:
(-3,-3)
Step-by-step explanation:
I think I think
What expression is equivalent to the given expression?
Consider this expression.
-3x^2 - 24x - 36
__(x + __)(x + __)
A. 3
B. -3
A1. 2
B1. -2
C1. -4
D1. 4
A2. 6
B2. 9
C2. -9
D2. -6
Answer: A. -3
A1. -2
A2. -6
Step-by-step explanation:
The expression -3x^2 - 24x - 36 can be factored into the form (ax + b)(cx + d) by using the technique of grouping or by using the factoring by grouping method.
The factored form of -3x^2 - 24x - 36 is
( -3x - 6)( x + 6)
So the answer is:
A. -3
A1. -2
A2. -6
Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.
Answer:
29
31
Step-by-step explanation:
Let the larger number be 2x + 3 when you add 3 to an even number (2x) you get an odd number
Let the smaller number be 2x + 1 when you add 1 to an even number you get an odd number.
2x + 3 + 2*(2x + 1) = 4(2x + 1) - 27
2x + 3 + 4x + 2 = 8x + 4 - 27
6x + 5 = 8x - 23
28 = 2x
x = 14
2*14 + 1 = 29
2*14 + 3 = 31
Check.
31 + 2*29 = 31 + 58 = 89
4*29 - 27
116 - 27
89
The answers check
consider an lti system with impulse response as, ℎ() = −(−2)( − 2)
An impulse response is a system's output when an impulse input is applied. In this case, the given LTI system has an impulse response of ℎ() = −(−2)( − 2).
This means that when an impulse input is applied, the system's output will be a scaled and shifted version of the function ℎ(). Specifically, the output will be a scaled and shifted version of the function −(−2)( − 2).
It's worth noting that the impulse response of an LTI system contains all the information necessary to describe its behavior. By convolving the input signal with the impulse response, we can determine the system's output for any input signal.
So, if we have a specific input signal, we can convolve it with the given impulse response to determine the system's output. But for an impulse input, we already know that the output will be a scaled and shifted version of ℎ().
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Find the area of the figure. A composite figure made of a triangle, a square, and a semicircle. The diameter and base measure of the circle and triangle respectively is 6 feet. The triangle has a height of 3 feet. The square has sides measuring 2 feet. area: ft²
The total area of the figure in this problem is given as follows:
41.3 ft².
How to obtain the area of the composite figure?The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.
The figure in this problem is composed as follows:
Triangle of base 6 feet and height 3 feet.Semicircle of radius 3 feet.Square of side length 2 feet.Then the area of the triangle is given as follows:
At = 0.5 x 6 x 3 = 9 ft².
The area of the semicircle is given as follows:
Ac = π x 3² = 28.3 ft².
The area of the square is given as follows:
As = 2² = 4 ft².
Then the total area of the figure is given as follows:
9 + 28.3 + 4 = 41.3 ft².
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plz help easy 8th grade math giivng brainlist
Answer: a < -7 OR a > 15
Step-by-step explanation: Thanks for the brainliest.
On Friday night, the Morrison family set up camp in
the Ocala National Forest. On Saturday morning they hiked to a wilderness area 3 miles due north and 4 miles due east of their campsite. The elevation of the wilderness area is the same as the elevation of the campsite. To the nearest 0.1 mile, what is the straight line distance from the wilderness area to the Morrisons' campsite?
The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.
To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.
Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).
Using the Pythagorean theorem, the straight-line distance d is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:
d = √((4 - 0)² + (3 - 0)²)
= √(4² + 3²)
= √(16 + 9)
= √25
= 5
Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.
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Solve the following:
-x + 4(1 + 5x) = 156
I need help please ?
if you are sexually active, what are the odds of you contracting an sti by the time you are 25 years old?
The odds of you contracting an sti by the time you are 25 years old is 50%.
Even if a person has only had one physical relationship, that partner could be infected. Of course, the risks of contracting STDs (also known as sexually transmitted illnesses, or STIs) increase if a person has unprotected intercourse with a variety of partners.
Many persons with STDs have no evident indications or symptoms. As a result, individuals may assume they are "clean" and inform partners they don't need to use a protection.
But that's not a good idea. For example, almost six out of ten young people infected with HIV are unaware of their status. As a result, they risk infecting others with the AIDS virus.
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A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
Answer:
$270
Step-by-step explanation:
18x15=$270
HOPE THAT HELPED:)