Answer:
3(4x - 4) - 7x
Step-by-step explanation:
Answer
The first expression has a simplified expression of 5x-12.
Explanation
Distribute all of the expressions and subtract 7x.
Expression 1
3(4x-4)-7x
12x-12-7x
5x-12
Expression 2
-3(4x-4)-7x
-12x+12-7x
-19x+12
Expression 3
3(-4x+4)-7x
-12x+12-7x
-19x+12
Expression 4
-3(-4x-4)-7x
12x+12-7x
5x+12
find the value of y and the size of the angle in the triangle 3y,y,4y-4
The value of y is given as follows:
y = 23.
Hence the angle measures are given as follows:
69º, 23º and 88º.
How to obtain the measures?The sum of the measures of the internal angles of a triangle is of 180º.
The internal angles for the triangle in this problem have the measures given as follows:
3y.y.4y - 4.Hence the value of y is obtained as follows:
3y + y + 4y - 4 = 180
8y = 184
y = 184/8
y = 23.
Hence the angle measures are given as follows:
3y = 3 x 23 = 69º.y = 23º.4y - 4 = 4(23) - 4 = 88º.More can be learned about angle measures at https://brainly.com/question/24607467
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A dog is leashed to a point in the center of a large yard, so the area the dog is able to
explore is circular. The leash is 25 feet long. What is the area of the region the dog is able to
explore. Use 3.14 for pi. Round to the nearest tenth if necessary.
Answer:
78.5
Step-by-step explanation:
The radius of the circle is 25 so youu multiply that by 3.14
25*3.14=78.5
The plastic arrow on a spinner for a child's game stops rotating to point at a color that will determine what happens next. Are the given probability assignments possible? Red yellow green blue
a) 0.25 0.25 0.25 0.25
b) 0.4 0.3 0.2 0.5
c) 0.4 0.3 1.2 -1.9
d) 0 1 0 0
e) 0.5 0.1 0.3 0.1
Select all of the probability assignments that are possible 1. a
2. e 3. b 4. c 5. d 6. None of the probability assignments are possible.
The possible probability assignments are a) 0.25 0.25 0.25 0.25 and e) 0.5 0.1 0.3 0.1.
To be possible probability assignments, the probabilities assigned to each color must be non-negative and add up to 1.
a) 0.25 0.25 0.25 0.25: These probabilities add up to 1 and are all non-negative, so they are possible.
b) 0.4 0.3 0.2 0.5: The probabilities do not add up to 1, so this is not possible.
c) 0.4 0.3 1.2 -1.9: The probabilities are not all non-negative and do not add up to 1, so this is not possible.
d) 0 1 0 0: Only one color has a non-zero probability, so this is not possible.
e) 0.5 0.1 0.3 0.1: These probabilities add up to 1 and are all non-negative, so they are possible.
Therefore, the possible probability assignments are a) and e).
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What is the solution to this equation?
4x - 6 + 2x = 18
A. x= 4
B. x= 12
C. x= 2
O D. x= 6
SUBMI
Answer:
Think
Step-by-step explanation:
4x - 6 + 2x = 18
You are solving for x so obviously you have to have your x variable on one side of the equal sign by itself.
So how do you do that? Combine the same calues together and seperate the rest
4x + 2x = 6x
6x = 18 + 6
6x = 24
x = 3
Practice practice practice. Simple stuff. You got this!
Answer:
A. x = 4
Step-by-step explanation:
To answer this question, we first have to combine like terms:
4x - 6 + 2x = 18
6x - 6 = 18
Now, we take away 6 from the left side and add it to the right side:
6x - 6 = 18
+6 +6
6x = 24
Then, we isolate the variable:
6x = 24
/6 /6
x = 4
Hope this helps :)
researchers wanted to study if wearing cotton clothes is related to depression. they surveyed a large group of people. the data are shown in the contigency table below. what is the relative risk of being depressed for those who wear cotton clothes?
The probability of being depressed and wearing cotton clothes is 0.39.
How to determine the probabilityNote that the probability of something happening is the chance of occurrence versus the total possibilities obtainable. So, for the data we are given, we will find the probability of being depressed and wearing cotton clothes this way:
Probability of being depressed and cotton/probability of being cotton
= 122/994 ÷ 311/994
= 122/311
= 0.39
So, the relative risk of being depressed and wearing cotton clothes is 0.39.
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Solve by graphing :
-x + 3y = -9
y = -x + 1
Step-by-step explanation:
the answer from the graph is;
(3 , -2)
Decide whether or not the given integral converges. −2 1 x2 dx −[infinity] converges diverges Correct: If the integral converges, compute its value. (If the integral diverges, enter DNE.)
The given integral ∫(-2 to 1) x^2 dx converges and its value is 3.
To determine if the integral converges or diverges, we evaluate the definite integral ∫(-2 to 1) x^2 dx.
Integrating x^2 with respect to x, we get (1/3) x^3. Evaluating the definite integral over the given bounds, we have:
(1/3) [x^3] from -2 to 1.
Substituting the bounds into the antiderivative expression, we get:
(1/3) [1^3 - (-2)^3] = (1/3) [1 - (-8)] = (1/3) [9] = 3.
Since the value of the integral is a finite number (3), we conclude that the given integral converges. The definite integral has a finite value when evaluated over the interval from -2 to 1.
Therefore, the given integral ∫(-2 to 1) x^2 dx converges and its value is 3.
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archeologists continue to debate the arrival of the first humans in the western hemisphere. radiocarbon dating of charcoal from a cave in chile was used to establish the earliest date of human habitation in south america as 8700 years ago. this procedure involves comparing the 14c present in a sample of charcoal to the 14c present in a living tree of the same age. 1st attempt see hint what fraction of the 14c initially present remained in the charcoal after 8700 years? the half-life of 14c is 5730 years. (write the answer as a number with a decimal.)
7/20 is the fraction of the 14c carbon was initially present and remained in the charcoal after 8700 years
Carbon is a chemical element with the symbol C and atomic number 6.
It is non-metallic and tetravalent – its atom makes four electrons available to form covalent chemical bonds.k = ln 2) / half life
k = ln 2 / 5730 years
k = 1.21 x 10⁻⁴ (1/years)
ln [A]ₙ / [A]₀ = -kt
[A]ₙ = Amount of concentration at time t (here t = 8700 years)
[A]₀ = Amount of concentration of carbon present initially
( [A]ₙ / [A]₀ ) = X
ln X = - 1.21 x 10⁻⁴ (1/years) * 8700
ln X = -1.05
On taking natural log both side
X = 0.35
( [A]ₙ / [A]₀ ) = 0.35
i.e.
( [A]ₙ / [A]₀ ) = 7/20
7:20 is the fraction of the 14c when initially present to the remained in the charcoal after 8700 year.
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Hannah can rake and fill 9.8 bags of leaves each hour. How many bags of leaves will Hannah rake and fill in 8 hours?
Answer:
78.4
Step-by-step explanation:
9.8*8
=78.4 bags of leaves
Determine whether the following is a statistical question.
How old are you?
PLEASE HELP ME
Answer:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school? and "how old are you?" are statistical questions.
Step-by-step explanation:
is this right please tell me the right answer if not
Answer:yes
Step-by-step explanation:
Choose the function whose graph is given by:
y
+
2
NE
فما
2
3
6X
-2
O A. y = cos x-1
B. y=cOS X-2
O C. y= sin x + 1
HELP PLS !!!!
Answer:
The answer is D
Step-by-step explanation:
We should note that the function y = sin x = b/r has a maximum value of 1 at x = π/2, since at that point b is equal to r
Option B is correct, y= cosx - 2 is the function whose graph is given in attachment.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.
The graph of equation y= cos x - 2 is showing in the picture.
The equation y= cosx - 2 is showing the given graph.
Hence, Option B is correct, y= cosx - 2 is the function whose graph is given in attachment.
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What would cause a discontinuity on a rational function (a polynomial divided by another polynomial)?
The function has a horizontal asymptote at y = 3. Other types of discontinuities can also occur in rational functions
What are polynomials ?A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
A rational function can have a discontinuity at any point where the denominator of the function becomes zero since division by zero is undefined. These points are called "vertical asymptotes."
For example, consider the rational function f(x) = (x² - 1) / (x - 1). The denominator becomes zero when x = 1, which causes a vertical asymptote at x = 1. At x = 1, the function approaches positive infinity from the left-hand side and negative infinity from the right-hand side. This creates a "hole" or a "removable discontinuity" in the graph of the function.
Another type of discontinuity that can occur in a rational function is a "horizontal asymptote." This occurs when the degree of the numerator is less than the degree of the denominator. In this case, the function approaches a horizontal line (the horizontal asymptote) as x approaches infinity or negative infinity.
For example, consider the rational function f(x) = (3x² - 2x + 1) / (x² + 1). As x approaches infinity or negative infinity, the function approaches the horizontal line y = 3.
Therefore, the function has a horizontal asymptote at y = 3.
Other types of discontinuities can also occur in rational functions, such as "slant asymptotes" or "oscillating behavior," but these are less common and typically require more advanced techniques to identify.
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Aaron had $22 to spend on 4 beakers for his science class. After buying them, Aaron had $2 left. How much did each of the beakers cost?
Answer:4
Step-by-step explanation:22-4=18-4=14-4=10-4=6=2
the angle of elevation from a rowboat moored 75 feet from a cliff is 73.8 degrees.find the height of the cliff to the nearest foot.
The height of the cliff is approximately 269 feet.
We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.
The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).
To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.
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Find the x-intercept and the y-intercept of the graph of the equation 6x+2y=36
answer me step by step
if don't I will report you
Paul and n other runners compete in a marathon. Their times are independent
continuous r.v.s with CDF F: Show all your supporting work.
(a) For j = 1; 2; : : : ; n, let Aj be the event that anonymous runner j completes the
race faster than Paul. Explain whether the events Aj are independent, and whether they
are conditionally independent given Paul's time to nish the race.
(b) For the rest of this problem, let N be the number of runners who nish faster
than Paul. Find E(N):
(c) Find the conditional distribution of N; given that Pauls time to nish the
marathon is t:
(d) Find V ar(N):
What is Symmetry ?
In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.
A definition of symmetry in mathematics states that whether one shape is moved, rotated, or flipped, it exactly resembles the other shape. Just fold the paper, draw one-half of the heart at the fold, then cut it out to discover that the other half exactly matches the first half when you are instructed to cut out a "heart" from a piece of paper. The heart-shaped carving is an illustration of symmetry. Symmetry is defined in mathematics as "a mirror image." Symmetry is the property of an image that remains unchanged after a shape has been rotated or flipped. There are patterns in it. You may have heard the word "symmetry" quite a bit in modern times.
(A)
Any two indices will do i!=j Paul's time and the time of the ith runner are equally distributed and independent, hence according to the Symmetry, p (Ai) = p(Aj)= 1/2. Consider the intersection of Ai and Aj. Thus, Paul is outpaced by both runners I and j. There are 6 possible permutations of their times because they are i.id, with Paul being the slowest. P(Ai intersection Aj) hence equals 1/3.
But now wе have that P(Ai intersection Aj)= 1/3 != 1/4 = P(Ai)P(Aj)
thus, events They are not autonomous, Ai and Aj. However, they are only somewhat independent given Paul's timing. Paul can be removed from the narrative if such is the case. Then, only these two runners are left. Events As a result of their independent and equal distribution of times, Aj and AI are independent.
(B)
Define Ij as the random variable indication that indicates whether or not the jth runner is superior to Paul. via means of symmetry. We know p(Ij = 1)=1/2.
We determine that
E(N) = E(I1+I2 +.......In)
= nE(i1)
=nP(I1-1)
=n/2
using the linearity of expectation.
(C)
Paul's estimated time of completion is t The probability that each runner will finish ahead of Paul is P (time of rumer I t) = F. (t)
By using part (a), we can determine that other runners' times are independent of Paull's time, and that the number of runners who finish faster than Paul has a binomial distribution with the parameters n and F. To come to the conclusion that N/T= t Binom (n, F(t)) and if we choose T at random, N/T Binom (n, F(T)),
(D)
Let's figure out Var (N)
Var (N)=F(Var (N/T)) + Var(E(N/T))
= E(n F(T) (1- F(T)) + Var(on F(T))
according to Eve's Law.
Here, we can use the uniform distribution's universality to produce
F(T) ~Unif (0, 1) = U
Hence symmetry, which states that U I-U, leads to
Var(N) = nE(U2) + n2 var (U)
=n/3 + n2/12,
where E(U2)=1/3
Var(U)=1/12.
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Is the statement true or false? The heaviest melon is 3.5 times the mass of the lightest melon. Explain
Answer: False?
Step-by-step explanation:
Increase 42 by 16% show working please
Answer:
48.72
Step-by-step explanation:
your old value =42
your new value = let it be x
your original percentage =100percent
your new percentage:100+16
=116percent
old. new
value. 42. x
percentage 100. 116
cross multiply :x multiply by 100=42 multiplyby 116
100x=42x116
x=42x116/100
x=48.72
So, your increased value is 48.72
What is the missing length?
The missing length is 6 yards
How to determine the missing lengthFrom the question, we have the following parameters that can be used in our computation:
The figure
Also, we have
Area = 45 square yards
Base = 7.5 yards
Using the above as a guide, we have the following:
Height = Area/Base
So, we have
Height = 45/7.5
Evaluate
Height = 6
Hence, the height is 6 yards
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if your aircraft was cleared for the ils rwy 18 at lincoln municipal and crossed the lincoln vortac at 5,000 feet msl, at what point in the teardrop could a descent to 3,200 feet commence? a. only at the point authorized by atc. b. immediately. c. as soon as intercepting loc in bound.
At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.
What is aircraft?
A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.
As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.
Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.
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Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
i need help on this question
Answer:
(6,2)
Step-by-step explanation:
(-2+8, -3+5)
Marco has $120 to spend on ground beef and hot dogs for a picnic. The hot dogs costs $4.89 per pound. The ground beef costs $6.39 per pound. Let b represent the pounds of ground beef that Marco can purchase, and let h represent the pounds of hot dogs that Marco can purchase. Write an inequality to represent this situation.
Answer:
This should fall under quadratic inequalities and linear programming.
Step-by-step explanation:
The first logical step would ro immediately know that
Whatever they buy must be
\( \leqslant 120\)
So from my understanding the inequality is
4.89h + 6.39b \(\leqslant 120\)
You could divide through by 4.89 to simplify but then it will not be as accurate due to so many decimals. I hope that helps.
angle ABC is right angled at C. If m(<ABC)=30° and side AB =6 units,then what is the length of side BC?
The length of side BC is 3 units.
What are trigonometric functions?
Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.
Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.
Given that angle ABC is a right angle at C and angle <ABC = 30 degrees, we can use trigonometric ratios to find the length of side BC.
Let BC = x units
Using the trigonometric ratio of sine for angle <ABC, we have:
sin(angle ABC) = opposite / hypotenuse
sin(30°) = BC / AB (opposite side is BC and hypotenuse is AB)
1/2 = x / 6
x = 6 * 1/2
x = 3
Therefore, the length of side BC is 3 units.
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What does an expression never have.
A.variables
B.numbers
C.equals sign
Answer:
C
Step-by-step explanation:
An Expression has no equal sign, because it is not complete. Yet an equation does.
20 points up to grab. Please answer. Thank you.
Which statement is not used to prove that triangle FGH is similar to triangle FIJ?
1. Angle F is congruent to itself, due to the reflexive property.
2. Angles FJI and FHG are congruent, due to the corresponding angles postulate.
3. Points F, J, and H are collinear.
4. Segments JI and HG are parallel.
Answer: I believe it is C
Step-by-step explanation:
Answer:
its C 100%
the rest of the answers all make sense except this one
Step-by-step explanation:
good luck :)
What is the quotient of 8.595 divided by 24 ?
A: 334 R 3
B: 334 R 7
C: 358 R 3
D: 358 R 7
PLEASE HURRY!! WILL MARK BRAINLIEST
Fully factorise 5r² - 27r - 18
The fully factorized form of expression 5r² - 27r - 18 is (r - 6)(5r + 3)
To factorize the quadratic expression 5r² - 27r - 18, we can use a factoring method such as grouping or quadratic factoring.
One possible approach is to use quadratic factoring.
We look for two binomials that, when multiplied together, give us the quadratic expression.
The quadratic expression 5r² - 27r - 18 can be factored as follows:
5r² - 27r - 18
5r² - 30r+3r - 18
5r(r-6)+3(r-6)
= (r - 6)(5r + 3)
So, the fully factorized form of 5r² - 27r - 18 is (r - 6)(5r + 3)
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