Jake filled a bucket with 2 7/8 gallons of water. He then poured out 1/3 gallons of water. How much water remained in the bucket.
Thanks!
Answer: 2.54167 another way to write it 2 13/24 gallons of water jake put in his water.
Step-by-step explanation:
What causes dilated eyes?
Dilated eyes cause ,A traumatic injury, drug/medication side effects, or dilating eye drops after an eye checkup may all contribute to the illness.
Why, for no apparent reason, are my eyes super dilated?A physical or psychological condition, certain substances or prescriptions, or an injury could be the cause of this. The term "blown pupil" is occasionally used by doctors to describe more severe mydriasis when the pupils are fixed and dilated. This disorder may be a sign of brain damage brought on by a stroke or other physical trauma.A traumatic injury, drug/medication side effects, or dilating eye drops after an eye checkup may all contribute to the illness. While unexpected pupil dilation may be the result of a medical illness, it can also happen naturally owing to changes in light and emotional events.To learn more about Dilated eyes refer to:
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What is the gradient of the line y 6x =- 5?
After solving, the gradient of the line y = 6x - 5 is 6.
We have to find the gradient of the line y = 6x - 5.
The formula known as the slope relates to the method for calculating a line's steepness and inclination. The x and y coordinates of the locations along the line can be used to determine the slope of the lines. It is the ratio of the change in the y-axis to the change in the x-axis, to put it another way.
By utilizing the line equation, the slope of any line may be expressed as
y = mx + b, where m = gradient.
When we compare the given equation y = 6x - 5 by the standard equation, we get m = 6.
So the gradient of the line y = 6x - 5 is 6.
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The write question is:
What is the gradient of the line y = 6x - 5
Which of the following expressions are polynomials? Justify your answer:(1) 8(ii) √3x² - 2x(iii) 1 - √5x(iv) 1/5x-2 +5x+7(v)(x-2)(x-4)/X(vi)1/x+1(vii)1/7 a^3 - 1/√3a^2 + 4a-7(viii) 1/2xa. Polynomials: (ii), (vi), (vii)b. Polynomials: (i), (ii), (iv), (vii)c. Polynomials: (ii), (iii), (iv), (vii)d. Polynomials: (i), (ii), (vii)
B) Therefore, the polynomials among the given options are (i), (ii), (iv), and (vii).
A polynomial is a mathematical expression made up of constants, variables, and non-negative integer exponents.
It can have no variable at all, one variable or multiple variables.
A polynomial can't have a negative exponent. It never has division by a variable. Based on this definition, options
(iii) 1- √5x
(v) (x-2)(x-4)/x
(vi) 1/x+1, and
(viii)1/2xa
are not polynomials because they have fractional exponents or negative exponents.
Therefore, the polynomials among the given options are (i), (ii), (iv), and (vii) because they do not have fractional or negatice exponent.
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Determine if this statement is always, sometimes, or never true.
If a ≥ 0, then |a| = -a
never
sometimes
always
The statement "If a ≥ 0, then |a| = -a" is always false.
What is the absolute value?
Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
The absolute value of a real number, denoted by |a|, is the non-negative value of a without regard to its sign.
Therefore, if a is greater than or equal to zero, the absolute value of a is equal to itself.
On the other hand, -a is the negative of a, which is only the case when a is less than zero.
Hence, |a| can never equal to -a when a ≥ 0, because the absolute value is always non-negative, while -a is always negative.
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The sentence "If a 0, then |a| = -a" is untrue at all times. 4 is equal to 4 in absolute terms. The formal notation for a number's absolute value is |x|.
What is the absolute value?Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value. The non-negative value of a, indicated by the symbol |a|, is the absolute value of a real number, regardless of its sign. It follows that if an is higher than or equal to zero, its absolute value is also zero.
However, -a is the opposite of a, and is only true when an is less than zero. This means that when an is greater than 0, |a| can never equal -a because the absolute value is always non-negative whereas -a is always negative. Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.
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5 of 8 18 seconds A Given that A, O & B lie on a straight line segment, evaluate acute ZCOD. C (3x+88) this question ZCOD = 46 0 (x +36) (2x-4) The diagram is not drawn to scale. D B
On solving the provided question, we can say that A,O, B lie on a straight line segment, so, angle COD=46°
what are angles?An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.
A,O, B lie on a straight line segment.
We know that
straight line has = 180
angle AOC=3x+88
angle COD=(x+36)
Angle DOB = (2x - 4)
[tex]AOC+ COD+ DOB=180\\(3x+88)+(x+36)+(2x-4)=180\\6x+190=180\\ x=60/6=10 \\COD=x+36=10+36=46\\[/tex]
so, angle COD=46°
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How can you break apart the factor 4 into equal addends to find the factor 4x7
We can add the factor 4 seven times to find the product 4 × 7.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number. a × b means that a is added to itself b times or b is added to itself a times.
So we know that multiplication is basically addition of one of the numbers up to the times as that of the other number.
Given, we have to find the product of 4 × 7, in terms of addition, by using the factor 4.
The meaning of the product of 4 and 7 is that 4 is adding to itself 7 times or 7 is adding to itself 4 times.
Since we need to break the product in terms of 4 as addends, we can write,
4 × 7 = 4 + 4 + 4 + 4 + 4 + 4 +4
Hence we can break 4 as 7 equal addends to find the given product.
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What is the 3rd exponent called?
The exponent of 3 in 3^3 is 3, also called "cubed" or "3 raised to the 3rd power".
Use transformations to solve the inequality. Write down all the steps
Answer: [tex]f \ge 26[/tex]
Work Shown:
[tex]-\frac{1}{2}f \le -13\\\\-2*(-\frac{1}{2}f) \ge -2*(-13)\\\\f \ge 26[/tex]
To isolate the variable f, we multiply both sides by -2.
Multiplying both sides by a negative number will flip the inequality sign.
A linear relationhip i hown in the table. Time (hour) 2 4 6 8
Ditance (mile) 4 8 12 16
I the linear relationhip alo proportional? Explain. No, the contant of proportionality i 2. Ye, the contant of proportionality i 2. No, there i no contant of proportionality. Ye, there i no contant of proportionality
The value of k is 4. So the constant of proportionality is 4.
In the given question, a linear relationship is shown in the table.
Time (hour) 2 4 6 8
Distance (mile) 4 8 12 16
We have to find the linear relationship also proportional.
When determining if two ratios or fractions are equivalent, the proportion formula is utilized. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.
y ∝ x is the supplied proportional equation.
Additionally, y = kx, where k is the proportionality factor.
It shows that the expressions printed on the left and right sides have an equal relationship.
Let k be the proportionality constant for the given data.
Now , the value of k is determined by x = {2, 4, 6, 8}.
The values of distances be y = {8, 16, 24, 32}.
The proportionality constant is now provided by y = kx.
Divide by x on both sides of the equation, we get
k = y/x
Substituting the values in the equation, we get
k = 8/2
k = 4
k = 16/4
k = 4
Hence, the value of k is 4. So the constant of proportionality is 4.
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The constant of proportionality is 4.
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Let the proportionality constant be k
Noe the value of proportionality constant k is determined by
The values of time be x = {2,4,6,8}
The values of distance be y = {8,16,24,32}
Now, the constant of proportionality is given by
y = kx
Divide by x on both sides of the equation, we get, k = y/x
Substituting the values in equation, we get
K = 8/2 = 4
And k = 16/4 = 4
Therefore the value of k is 4.
hence, the constant of proportionality is 4.
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Lin has a summer reading assignment. After reading the first 30 pages of the book, she plans to read 40 pages each day until she finishes. Lin makes the graph shown here to track how many total pages she'll read over the next few days.
After day 1, Lin reaches page 70, which matches the point (1,70) She made it on her graph. After day 4, Lin reaches page 190, which does not match the point (4,160) She made it on her graph. Lin is not sure what went wrong since she knows she followed her reading plan.
Sketch a line showing Lin's original plan on the axes.Click on the graph and select edit to complete the graph. Once done, hit save and close to see your completed graph.
What does the vertical intercept mean in this situation? How do the vertical intercepts of the two lines compare?
What does the slope mean in this situation? How do the slopes of the two lines compare?
1. The graph of Lin mistake is shown below.
2. The Vertical intercept of Lin graph is less than the correct graph.
3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Lin started with reading 30 pages.
Then, after 1sr day she will read the 40 pages per day.
So, if number of days represented by x- coordinates and number pages pages by y- coordinate we get
On first day (0. 30)
On second day (1, 30+40)= 91. 70)
On third day (2, 70+40)= (2, 110)
On fourth day (3, 110+40) = (3, 150)
and, On fifth day (4, 150+40)= (4, 190)
Hence, Line made mistake as after 4 days he completed 190 pages.
2. The Vertical intercept of Lin graph is less than the correct graph.
3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).
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Bryson , it has 12 cards each card is a different number from 1 to 12 he chooses a card at random. how likely is it for Bryson to choose an odd number?
Answer:
as likely as not
Step-by-step explanation:
if there are 12 cards then 6 would have even and and 6 would be odd so it is a 50/50 chance so it just as likely as it isn't
The event has an “equal chance” to happen or not, the probability will be 1/2. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, Bryson has 12 cards each card is a different number from 1 to 12.
Here, total number of outcomes = 12
Number of favorable outcomes = 6 (odd number of cards)
Now, probability of an event = 6/12
= 0.5
If the event has an “equal chance” to happen or not, the probability will be 1/2.
Therefore, option B is the correct answer.
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Please help, i dont really understand this lol
Answer:
A) [tex]x>-2[/tex]
Step-by-step explanation:
[tex]x+4>-x \\ \\ 2x+4>0 \\ \\ 2x>-4 \\ \\ x>-2[/tex]
Asher is able to sell his cell phone on two different websites, A and B. In the table, the different rates are represented by the functions A(t) and B(t), where t is time in months.
t (months) 1 2 3
Website A
A(t) = 50(0. 85)t 42. 50 36. 13 30. 71
Website B
B(t) = 50 − 5t 45 40 35
In what month will the price of his phone be less with website B than website A?
a
5
b
6
c
7
d
8
As per the given functions A(x) and B(x), at the month 8th the price of his phone be less with website B than website A.
The term function in math is known as a relationship between inputs where each input is related to exactly one output.
Here we have given that Asher is able to sell his cell phone on two different websites, A and B.
And in the given table, the different rates are represented by the functions A(x) and B(x), where t is time in months.
While we looking into the given question, we have identified that there are two functions are listed as follows:
A(x) = 80(0.86)ˣ
B(x) = 80 - 8t
When we plot the function on the graph, then we get the graph like the following,
Through the graph, we have identified that on the point of (8, 23.93) and (8,16) has been the resulting point.
Therefore, the correct option is (d).
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find the equation of the line given (4,-2) and (3,10)
Answer:
y-(-2)=-12(x-4)
Step-by-step explanation:
Use Slope point Form to solve this equation. Follow the steps in the image.
-Hope this helped
what is 3,000x9,000,628?!!!!!!!!!!!!!!!!!!!!!!!
Answer: 3,000 x 9,000,628 = 27,001,884,000 ✅
Step-by-step explanation:
It is the result of multiplication of 3,000 with 9,000,628.
PLEASE GIVE ME THE BRANLIEST PLEASXE IM BEG
Answer:
27,001,894,000
put it in a calculator
What is the difference between functions and loops?
In programming, loops are used to keep repeating a block of code until a certain condition is satisfied.
What are functions ?A chunk of code known as a function only executes when it is invoked. Data that you supply to a function are referred to as parameters. In order to reuse code, functions are crucial because they are utilised to carry out specific actions: Use the code several times after just one definition. A variable that saves the memory address of another variable as its value is known as a pointer. The * operator is used to create a pointer variable, which points to a data type of the same type (such as int). In programming, loops are used to keep repeating a block of code until a certain condition is satisfied. Programmers can execute a statement or set of instructions repeatedly without repeating the same code by using a loop statement.To learn more about Loop refer to:
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The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
the slope of the line is 8 and equation line is y = 8x.
What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
We know that formula two find the slope of the line joining two points which is
slope m = 24-16 / 3-2
m = 8/1 = 8
y = 8x
Hence the slope of the line is 8 and equation line is y = 8x.
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When you "plug in" a value or idea into the place of something else that has the same value or same idea, what PROPERTY is that called?
When you "plug in" a value or idea into the place of something else that has the same value or same idea, it is called substitution property of equality.
What is Substitution?This is referred to as an operation which means the replacement of the variables (letters) in an algebraic expression with their numerical values.
Substitution property of equality is used for various purposes such as in the substitution of values into expressions, to check solutions for equations, to solve equations that have two variables, and find solutions for systems of equations such as in the case of simultaneous equations thereby making it the correct choice.
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Slope intercept form
The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept
What is standard form form?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.
It is possible to determine the x- and y-intercepts of the corresponding line when we have a linear equation in standard form.
In some circumstances, we might want to convert an equation written in a different form to standard form (for instance, while solving systems of equations).
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Find the value of y so that the line through the pair of points has the given slope.
The line through the points (4, 3) and (-1, y) with slope 1.
y=?
The value of y so that the line has a slope of 1 is given as follows:
y = -2.
How to obtain the slope of a linear?The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.
Hence, given two points, the slope is calculated as the change in y divided by the change in x.
The points for this problem are given as follows:
(-1, y) and (4,3).
The change in y is of:
3 - y
The change in x is of:
4 - (-1) = 5.
The slope will have a value of one when:
(3 - y)/5 = 1
3 - y = 5
y - 3 = -5
y = -2.
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Why is geometry vocabulary important?
Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.
Who named geometry?The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.
The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.
The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.
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Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.
What is the role of vocabulary development in mathematics?Understanding vocabulary has a significant role in general comprehension in many subject areas, including mathematics. There are several, tried-and-true techniques for teaching vocabulary across all subject areas. The growth of mathematical competency depends on the teaching and learning of the mathematical language.
Our continued development of the foundations required to think critically, clearly, and thoroughly was made possible by our language in geometry. Therefore, even if you might not want to or even be able to recall your geometry vocabulary, it nevertheless had a role in your mental growth and helped you become the thoughtful adult you are today.
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What is a solutions grade 7?
Step-by-step explanation:
Grade 7 Science. Solutions… a review. A homogeneous mixture They appear as ONE substance Examples: tap water, vinegar, gold jewelry.
i need help with this
Answer:
lo l oh my gosh hi i havent seen u in so many years
Step-by-step explanation:
In LMN MN=15cm, LP is perpendicular to MN, LP=100 angle PLN=PNL state the length of PN. Give reason for your answer. PLS HELP ME
Therefore , the solution of the given problem of triangle comes out to be PN =100 cm .
A triangle is what exactly?An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.
Here,
Given :
MN = 15 cm
and
LP = 100
and
ΔPLN=ΔPNL
Length of PN:
Since
=> PN = LP
=> PN =100 cm
Therefore , the solution of the given problem of triangle comes out to be
PN =100 cm .
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Sophia is going to invest $820 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Sophia to end up with $1,170?
Answer:2.90%
Step-by-step explanation: good luck!
What is the area? For this Shape.
Please answer this quick!!!
Answer:
19 square meters
Step-by-step explanation:
so split the shape into 2 rectangles (where you drew the line by the number 7)
then 3 times 5 is 15 and for the area of the second triangle it's not 1 times 7 because 7 is the entire side and we just need the smaller part on the right. So we do 7-3 because 3 is the amount of the side we dont need (it says on the bottom) and 1 times 4 is 4 and 4+15 is 19
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
Which of the following shapes are rectangles?
A rectangle has four sides and angles at 90 degree.
What is a rectangle?A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Given: shape of a rectangle
A rectangle is closed flat shape, having four sides, and each angle equal to 90 degrees. The opposite sides of the rectangle are equal and parallel.
Hence, A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).
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what is the answer to two plus two. Please help
Answer:
the answer is 4
2+2=4 bc 1+1 is 2 ×2 and that is 4 your welcome
please solve two answers
The function f(x) is f(x) = -2/3 x -8. The function g(x) is g(x) = -1/6 x - 2
What is a function?
A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
Given that f(x) is a linear function. The value of f are f(-9) = -2 and f(-3) = -6.
Assume that, f(x) = ax + b
Now putting x = -9 in f(x) = ax + b:
f(-9) = a(-9) + b
Putting f(-9) = -2
-2 = -9a + b ....(i)
Now putting x = -3 in f(x) = ax + b:
f(-3) = a(-3) + b
Putting f(-3) = -6
-6 = -3a + b .....(ii)
By using the elimination method solve equation (i) and (ii).
Subtract equation (ii) from equation (i)
-9a + b = -2
-3b + b = -6
(+) (-) (+)
__________
-6a = 4
Divide both sides by -6:
a = -4/6
a = -2/3
Putting a = -2/3 in equation (i)
-6 = -3(-2/3) + b
-6 = 2 + b
b = -6 - 2
b = -8
Therefore, f(x) = -2/3 x -8
Now compare f(x) = -2/3 x -8 with f(x) = ax + b
a = -2/3 , b = -8
The y-intercept of f(x) is b = -8
The x-intercept of f(x) is b/a = -8/(-2/3) = 12
The y-intercept of g(x) is 6 more than f(x). Thus the y-intercepts of g(x) is 6 + (-8) = -2
The x-intercept of g(x) is 12.
Assume that the linear equation of g(x) is g(x) = hx + k
The y-intercept of g(x) is k = -2
The x-intercept of g(x) is k/h = 12
Putting k = -2:
-2/h = 12
h = -2/12
h = - 1/6
The linear equation of g(x) is g(x) = -1/6 x - 2
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