What value of x is in the solution set of 2x – 3 > 11 – 5x?
Answers
Given:
2x -3 > 11 -5x
Simplify both sides:
2x - 3 > -5x + 11
Add 5x to both sides:
2x - 3 +5x > -5x + 11 +5
7x - 3 > 11
Add 3 to both sides:
7x - 3 +3 > 11 + 3
7x > 14
Divided 7 to both sides:
\(\frac{7x}{7}\) > \(\frac{14}{7}\)
x > 2
Answer:
Any number greater than 2 would be the answer. In Edg, choose 4! Choosing 2 would be incorrect in their system.
Step-by-step explanation:
Related Questions
Four spheres of radius 6cm just fit inside a cylinder. Calculate the volume inside the cylinder that is empty. Leave your answer in the terms of pi
Answers
Answer:
576 pi cm3
Step-by-step explanation:
Select all the expressions that have the same value
Answers
so what was the question again?
Answer:
Step-by-step explanation:
WHAT ARE THESE TWO ILL GIVE BRAINLESS AND SHOW UR WORK
Answers
k= 29°
All triangles add up to 180 so that’s how i got those
Maria purchased a car for $8599. If the rate of depreciation is 2.5%, what will the value of the car be after four years? Round your answer to the nearest hundredth.
Answers
Answer:
$ 7770.81
Step-by-step explanation:
2.5 % each year means the car retains 97.5 % ( or .975 in decimal) of its value per year
8599 ( .975) ^4 = $ 7770.81
In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree more than 2.5 half times the measure of angle B . Find the m angle A . (Leave in fraction form.)
m angle A equals
degree
Answers
Answer:
Measure of angle A is 27 7/9 degrees.
Step-by-step explanation:
Lets call measure of angle A is X-10
Lets call measure of angle B is X
Lets call measure of angle D is 2.5X+20
We know that the sum of triangles add up to 180 degrees
X+X-10+2.5X+20=180
X=37 7/9
So measure of angle A is 27 7/9 degrees.
I hope this is right. :)
a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
Answers
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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:((!!! Pls help and explain 15points
Name two parallel lines. (Make sure to use the word "line") *
Answers
Answer:
Parallel lines NEVER intersect.
Perpendicular lines intersect at a right angle (90 degrees)
Step-by-step explanation:
Here we see that the line with the point E on it is parallel to the one with points B and D.
These lines will NEVER intersect.
I hope this helps!
CAN SOMEONE HELP WITH THIS QUESTION?✨
Answers
The percentage error in the density of metal will be 3.4%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the density of the metal in the handbook is 4.018 g/mL and the measured value of the density is 4.16 g/mL.
The percentage error will be calculated as:-
Percentage = [ ( 4.16 - 4.018 ) / 4.16 ] x 100
Percentage = 0.034x 100
Percentage = 3.4%
Hence, the percentage error will be 3.4% for the densities.
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I NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The answers are:
27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5
The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.
The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.
The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.
The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.
As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.
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- x + 3y = 11
x - 5y = -17
Ans. (x.y) = ( . )
Answers
Answer:
(x,y)=(-2,3)
Step-by-step explanation:
The angle times three out of 10 of the circle what is the measure of the angle
Answers
The measure of the angle that turns through 3/10 of the circle is 108 degrees.
Define angleAn angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.
Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.
Since a full circle has 360 degrees, 3/10 of the circle can be represented as:
(3/10) x 360 degrees = 108 degrees
Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.
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The complete question is :
The angle turns through 3/10 of the circle. What is the measure of the angle?
what exactly are the answers?
Answers
Answer:
40%, 40%
Step-by-step explanation:
The % of shoppers that have an email account is
100 × Sum of shoppers under "email account" row/ Total number of shoppers= 100 • (45+15)/150
= 40%
Same thing happens with the second question.
100 × Sum of shoppers in "Computer at home" column/ Total number of shoppers= 100•(45+15)/150
= 40%
Solve the following equation algebraically:
Negative 16 = 16 x squared
How many solutions does this equation have? Explain.
a.
Negative 1 = x squared; One solution because only -1 will satisfy the equation.
b.
Negative 1 = x squared; No real solution because there is no real number that, when squared, produces -1.
c.
1 = x squared; Two solutions because the square root of 1 is positive 1 and negative 1.
d.
1 = negative x squared; One solution because only -1 will satisfy the equation.
Please select the best answer from the choices provided
A
B
C
D
Answers
type the inequality from its graph
Answers
Answer:
x>_-1
Step-by-step explanation:
x is such that x is greater or equal to -1
How do you determine a the coordinates
Answers
A lot of 1000 components contains 350 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective.
a. Find P(A).b. Find P(B|A) .c. Find P(A ∩ B).d. Find P(Ac ∩ B).e. Find P(B) .f. Find P(A|B).g. Are Aand B independent? Is it reasonable to treat A and B as though they were independent? Explain.
Answers
The probabilities are:
a. P(A) = 0.35
b. P(B|A) ≈ 0.349
c. P(A ∩ B) ≈ 0.122
d. P(A^c ∩ B) ≈ 0.228
e. P(B) = 0.35
f. P(A|B) = 0.349
g. A and B are independent.
Yes, it is reasonable to treat A and B as though they were independent because P(A) * P(B) = P(A ∩ B).
We have,
Given:
Total number of components (n) = 1000
Number of defective components (d) = 350
a.
P(A) is the probability that the first component drawn is defective:
P(A) = d/n = 350/1000 = 0.35
b.
P(B|A) is the probability that the second component drawn is defective given that the first component drawn is defective:
Since one defective component has already been drawn, the total number of components is now 999, and the number of defective components remaining is 349.
P(B|A) = Number of defective components remaining / Total number of components remaining = 349/999 ≈ 0.349
c.
P(A ∩ B) is the probability that both the first and second components drawn are defective:
P(A ∩ B) = P(A) * P(B|A) = 0.35 * 0.349 ≈ 0.122
d.
P(\(A^c\) ∩ B) is the probability that the first component drawn is not defective (complement of A) and the second component drawn is defective:
\(P(A^c)\) is the probability that the first component drawn is not defective:
\(P(A^c)\) = 1 - P(A) = 1 - 0.35 = 0.65
Since the first component drawn is not defective, the total number of components remaining is now 999, and the number of defective components remaining is still 350.
P(\(A^c\) ∩ B) = P(\(A^c\)) * P(B) = 0.65 * (350/999) ≈ 0.228
e.
P(B) is the probability that the second component drawn is defective:
P(B) = Number of defective components / Total number of components
= 350/1000
= 0.35
f.
P(A|B) is the probability that the first component drawn is defective given that the second component drawn is defective:
P(A|B) = P(A ∩ B) / P(B)
= (0.35 * 0.349) / 0.35
= 0.349
g.
To determine if A and B are independent, we need to compare
P(A) * P(B) with P(A ∩ B).
P(A) * P(B) = 0.35 * 0.35 = 0.1225
P(A ∩ B) = 0.122
Since P(A) * P(B) = P(A ∩ B), A and B are independent events.
It is reasonable to treat A and B as independent because the probability of A and the probability of B are not affected by each other.
The occurrence or non-occurrence of A does not impact the probability of B.
Thus,
The probabilities are:
a. P(A) = 0.35
b. P(B|A) ≈ 0.349
c. P(A ∩ B) ≈ 0.122
d. P(A^c ∩ B) ≈ 0.228
e. P(B) = 0.35
f. P(A|B) = 0.349
g. A and B are independent.
Yes, it is reasonable to treat A and B as though they were independent because P(A) * P(B) = P(A ∩ B).
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Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle and drops it into the river. the bottle floats in the current and reaches at 7 : 40 AM the point where Johnny and his father began the trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?
Answers
Answer:
4.5
Step-by-step explanation:
Probably too late for your RSM homework, but here is the solution:
6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]
Simplify to 54/(x(9-x))=8/3
Cross multiply: 162=(8x)(9-x)
Simplify -x^2+9x=20.25
Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0
Solve and get 4.5 :D!
Help me please. Thank you if you do.
Answers
Answer:
See below
Step-by-step explanation:
Angle A is congruent to Angle C because of alternative interior angles
ABE is congruent to CDE because of ASA
Which diagram in the graph at the right is NOT a function?
Answers
Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.
Answers
The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).
In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.
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The sum of two positive integers is 19 and the product is 48
Answers
Answer:
16 and 3
Step-by-step explanation:
Let x and y represent the positive integers. We know that
\(x + y = 19\)
\(xy = 48\)
Isolate the top equation for the x variable.
\(x = 19 - y\)
Substitute into the second equation.
\((19 - y)y = 48\)
\(19y - {y}^{2} = 48\)
\( - {y}^{2} + 19y = 48\)
\( - {y}^{2} + 19y - 48\)
\((y - 16)(y - 3)\)
So our values are
16 and 3.
What is the value of x? Answer must be in decimal form 1.5x + 4 = 2.3x - 1.2
I need help
Answers
Answer:
x = 6.5
Step-by-step explanation:
1.5x - 2.3x + 4 = 1.2
1.5x - 2.3x = -1.2 - 4
-0.8x = - 1.2 - 4
-0.8x = -5.2
divide both sides of the equation by -0.8
x = 6.5 :)
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
Answers
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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Determine whether the equation is true or false
Answers
Answer:
its is true just keep practicing applying urself love<33
A family went out to dinner. The cost of their meal was $57.50, before sales tax and tip.
A sales tax of 8% was added.
The family then tipped 18% on the amount after the sales tax was added.
Part A:
What was the amount, rounded to the nearest cent, of just the sales tax?
Part B : What was the total amount the family paid , including tax and tip , rounded to the nearest cent ?
PLEASE HELP
Answers
Answer:
I hope I got this answer right
A is 4.60 and B is 8.30
(7 points) for the given diagram, it is known that e is the midpoint of ad and bc. use this information to prove that triangle aec= triangle deb. each congruence or ewuality and statement must be accompanied by a reason
PLS HELP
Answers
Given:
E is the midpoint of AD and BC.
To prove:
\(\Delta AEC\cong DEB\)
Proof:
Statement Reason
1. E is the midpoint of AD and BC 1. Given
2. \(AE\cong DE\) 2. Definition of midpoint
3. \(CE\cong BE\) 3. Definition of midpoint
4. \(\angle AEC\cong \angle DEB\) 4. Vertically opposite angle
5. \(\triangle AEC\cong \triangle DEB\) 5. SAS congruence postulate
Hence proved.
The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot point the plane in order to fly straight W?
Answers
Answer: 24.2° SouthWest
Step-by-step explanation:
First step: DRAW A PICTURE of the vectors from head to tail (see image)
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
Perpendicular (x):
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
Angle (θ):
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answers
Answer:
O a=0
Step-by-step explanation:
The function f(n) = 1.5 + 0.5(n −1) models a book fine, in dollars, that a library charges for a book that is n days overdue.
What is due for an overdue library book defined by the function f(10−3)
$6.50
$5
$4.50
$3
Answers
The fine to be paid for the overdue book as given by the function is $4.50
What are Functions?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
To solve this, we simply need to find the value of n and then substitute it into the function.
Given that;f(n) = 1.5 + 0.5(n -1), find f(10 - 3). This becomes f(7)
Substitute 7 in place of nf(7) = 1.5 + 0.5(7 - 1)f(7)
= 1.5 + 0.5(6)f(7) = 1.5 + 3f(7)
= 4.5
The fine for the overdue book is $4.50
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Answer:
4.5
Step-by-step explanation:
God bless u all
Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answers
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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