In the experiment, the solubility of B is high than the solubility of A.
This is because the mass of undissolved substance of substance A is more than Substance B at every temperature.
What is solubility?The amount of a substance that dissolves in a specific amount of solvent is known as its solubility. Higher solubility results from more solute dissolution, while lower solubility results from less solute dissolution.
Regarding the observations made, at any temperature, the mass of the undissolved material of substance A is greater than that of substance B. This suggests that less solute dissolves in the amount of solvent provided.
Therefore, because of this, substance B is more soluble than substance A.
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What is the difference of the polynomials?
(-2x³y² + 4x²y³ - 3xy) - (6x4y-5x²y³ -y5)
-6x4y-2x³y² + 9x²y³ - 3xy + y5
-6x¹y-2x³y²-x²y³ - 3xy-y5
O-6x¹y + 3x³y² + 4x²y³ - 3xy + y5
-6xªy-7x³y²
+ 4x²y³ - 3xy-y5?
Answer:
(a) -6x⁴y-2x³y² + 9x²y³ - 3xy + y⁵
Step-by-step explanation:
You want the difference of polynomials (-2x³y² + 4x²y³ - 3xy) - (6x⁴y-5x²y³ -y⁵).
SimplifyingThe difference expression is simplified by using the distributive property and combining like terms.
(-2x³y² + 4x²y³ - 3xy) - (6x⁴y-5x²y³ -y⁵)
= -2x³y² + 4x²y³ - 3xy - 6x⁴y + 5x²y³ + y⁵ . . . . distribute the minus sign
= -6x⁴y -2x³y² +(4x²y³ +5x²y³) -3xy +y⁵ . . . . . group like terms
= -6x⁴y -2x³y² +(4 +5)x²y³ -3xy +y⁵ . . . . . . . . combine like terms
= -6x⁴y -2x³y² +9x²y³ -3xy +y⁵
__
Additional comment
The terms here are written in "lexicographical" order. All terms with x are listed before any terms that do not have x. If they were listed in "standard form," terms of the same degree would be listed in lexicographical order, and terms of lower degree would be listed later. That would have the effect of interchanging the last two terms.
The difference of the value of polynomials is -6x⁴y -2x³y² +9x²y³ -3xy +y⁵
What is polynomials?A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) and only uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an illustration of a polynomial of a single indeterminate x. x3 + 2xyz2 yz + 1 is an illustration with three variables.
Numerous branches of mathematics and science make use of polynomials. For example, they are used to define polynomial functions, which appear in contexts ranging from basic chemistry and physics to economics and social science, and they are used to approximate other functions in calculus and numerical analysis.
Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.
Lets simply the polynomials
⇒ (-2x³y² + 4x²y³ - 3xy) - (6x⁴y-5x²y³ -y⁵)
= -2x³y² + 4x²y³ - 3xy - 6x⁴y + 5x²y³ + y⁵
= -6x⁴y -2x³y² +(4x²y³ +5x²y³) -3xy +y⁵
= -6x⁴y -2x³y² +(4 +5)x²y³ -3xy +y⁵
= -6x⁴y -2x³y² +9x²y³ -3xy +y⁵
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directions: write an expression. then evaluate. problems: four squared, eleven squared, one hundred squared, three squared, ten squared, y squared.
The expression of the number squares are as follows;
1) 4² = 4 * 4 = 16
2) 11² = 11 * 11 = 121
3) 100² = 100 * 100 = 10000
4) 3² = 3 * 3 = 9
5) 10² = 10 * 10 = 100
6) y²
How to express the square of numbers?1) Four squared is expressed as;
4² = 4 * 4 = 16
2) Eleven squared is expressed as;
11² = 11 * 11 = 121
3) One Hundred squared is expressed as;
100² = 100 * 100 = 10000
4) Three squared is expressed as;
3² = 3 * 3 = 9
5) Ten squared is expressed as;
10² = 10 * 10 = 100
6) y squared is expressed as; y²
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72 round to nearest tens
Answer:
70
Step-by-step explanation:
if the number Is less than 5 it's takes a 0 if the number is more that 5 it rounds off to the next ten
NO LINKS!!
Use the graph to answer the following:
=======================================================
Explanation:
The domain is the set of allowed x inputs.
The left-most part of the graph is at x = -9. There is no right-most part since it goes on forever in that direction due to the arrow.
So we can say [tex]x \ge -9[/tex] or [tex]-9 \le x[/tex] or [tex]-9 \le x < \infty[/tex]
That third inequality mentioned then turns into the interval notation [tex]\big[-9, \infty\big)[/tex]
Use a square bracket to include -9 as part of the domain. It's included because of the closed filled in circle, in contrast to a open hole.
We always will use a curved parenthesis for either infinity since we cannot actually reach it (it's not a number to reach).
---------------------
Now onto the range. This is the set of possible y outputs.
The graph stretches forever downward, so there is no lower bound. The upper bound, or highest part, is when y = 3
The range as a compound inequality is [tex]-\infty < y \le 3[/tex] which condenses to the interval notation of [tex]\big( -\infty , 3 \big][/tex]
Once again, use a square bracket to include the endpoint 3.
----------------------
The absolute max is the highest point of the graph. It's the peak of the mountain. In this case, the absolute max is y = 3. This is the relative max also. The relative max is the maximum within a certain specified interval.
There is no absolute min since the graph goes downward forever. There is no lowest point. This also rules out a relative min as well.
----------------------
The function is increasing when it goes uphill as you move to the right.
The graph shows the function increases on the interval -9 < x < -3 which condenses to the interval notation (-9, -3). This is NOT ordered pair notation which unfortunately looks identical to interval notation when using curved parenthesis for both endpoints.
In contrast, the function decreases when it goes downhill (when moving to the right). This occurs when [tex]4 < x < \infty[/tex] which shortens down to the interval notation of [tex](4, \infty)[/tex]
The graph is flat or constant when it's neither increasing nor decreasing. The graph is constant when -3 < x < 4 which translates to the interval notation of (-3, 4)
----------------------
Now onto the x and y intercepts
The x intercepts are where the graph crosses the horizontal x axis.
We have the two locations of x = -6 and x = 6 as the x intercepts
The y intercept is at y = 3, which is where it crosses the y axis. This also happens to be the max value mentioned earlier, though the y intercept won't always be the max.
-----------------------
Lastly, let's compute f(8)
Locate 8 on the x axis. Then draw a vertical line through this. The vertical line crosses the curve at (8, -3). Then move to the left until hitting y = -3 on the y axis
So x = 8 plugged in leads to y = -3 as the output.
Therefore, f(8) = -3
Are the red paths in the picture below perpendicular?
A. Yes
B. No
Answer:
Yes
Step-by-step explanation:
Perpendicular lines form 90-degree angles
At the end of the year the gross debt of a country stood at about 15 trillion. express this amount in dollars per person assuming that the population of the country is about 311 million 
The country's debt is $48,231.51 per person.
What exactly does it mean for a country to be in debt?The national debt seems to be the total of a country's yearly budget deficits less any surpluses. A deficit develops once the government spends more money than it collects. The government borrows money to finance the deficit by selling debt obligations to investors.
According to the given data:Given that a country's gross debt was around $ 15 trillion at the end of the year, the following computation must be performed to estimate this amount in dollars per person assuming that the country's population is approximately 311 million.
15 trillion = 15,000,000,000,000
15,000,000,000,000 / 311,000,000 = X
15,000,000 / 311 = X
48,231.51 = X
The country's debt is $48,231.51 per person.
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Banks do not
O pay interest on the money on deposit with the bank.
O take in and secure people's money.
O sell corporate stock to the public.
O make loans to individuals and businesses.
Brian has money into savings accounts. One rate is 11% and the other is 15%. If he has $900 more in the 15% account and a total of interest of $213 how much is invested in each savings account?
The amount invested at 15% was $900 whereas the $300 was invested in the 11% account
How do we represent the amounts invested in each account?
The fact that $900 more was invested in 15% account means that if the amount invested in the 11% is x, then amount in the other would be x+900
interest on 15% account=15%*(x+900)
interest on 15% account=0.15x+135
interest on 11% account=11%*x=0.11x
total interest=0.15x+135+0.11x
total interest on both accounts=0.26x+135
total interest earned=$213
213=0.26x+135
213-135=0.26x
78=0.26x
x=78/0.26
x=$300(amount invested in the 11% account)
amount invested in the 15% account=$300+$900
amount invested in the 15% account=$1200
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A company orders 23 boxed lunches from a deli for $201.25. Assume each boxed lunch is the same price. If c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.
(I HAVE ONLY ONE ATTEMPT,PLEASE HELP)
Answer:
c = 8.75b
Step-by-step explanation:
Since each box costs the same,
The cost of one box = Total cost of 23 boxes ÷ 23
= 201.25 / 23 = 8.75
For b boxes, the total cost would be $8.75b
This should be equal to c which is the variable used to represent the total cost
So the equation is
c = 8.75b
will give brainlist if correct!! what is 9??
12 - 15 divided by 3 - 3
Answer: 12-(15/3)-3 = 4
Step-by-step explanation:
12-(15/3)-3 = 4
The midpoint of AB is M(-2, -6). If the coordinates of A are (1,−4), what are the coordinates of B?
Applying the midpoint formula, the coordinates of B are: (-5, -8).
How to Apply the Midpoint Formula?The midpoint formula is:
M(x, y) = [(x1 + x2)/2, (y1 + y2)/2].
Given the following:
M(x, y) = (-2, -6)
A(x1, y1) = (1,−4)
B(x2, y2) = (?, ?)
Plug in the values
M(-2, -6) = [(1 + x2)/2, (-4 + y2)/2]
Isolate each coordinate
-2 = (1 + x2)/2
(-2)(2) = 1 + x2
-4 = 1 + x2
-4 - 1 = x2
-5 = x2
x2 = -5
-6 = (-4 + y2)/2
(-6)(2) = -4 + y2
-12 = -4 + y2
-12 + 4 = y2
-8 = y2
y2 = -8
Therefore, applying the midpoint formula, the coordinates of B are: (-5, -8).
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if I worked and made 500000 a year how much would I make each month??
what times 15 will get us close to 45 tenths without going over
Answer:
3/100
Step-by-step explanation:
[tex]\frac{0.45}{15}=\frac{45/15}{100}=3/100[/tex]
.At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $20
Answer:20-pack of hot dogs
Step-by-step explanation:
It says (The greatest number of hot dogs that you can buy in store for 20-pack Its $3.05.You will have $16.95 left over) YOUR WELCOME
you are dealt a 7 card hand from a standard deck of 52 cards, how many hands are possible containing 3 clubs and 4 diamonds? what is the possibility of selecting a hand with 3 clubs and 4 diamonds?
Based on the fact that there are 52 cards in the standard deck and you are dealt a 7 card hand, the number of possible hands containing 3 clubs and 4 diamonds is 204,490.
The possibility of selecting a hand with 3 clubs and 4 diamonds is 0.001529.
How many hands are possible?The number of possible hands can be found as the combination of picking 3 clubs from 13 club cards and 4 diamonds from 13 diamonds card.
This gives us:
= C (13, 3) x C (13,4)
=(13! /(3! x (13 - 3 )!) x (13! / (4! x (13 - 4)!)
= 204,490 hands
The possibility of selecting a hand with 3 clubs and 4 diamonds is:
= Number of possible hands with 3 clubs and 4 diamonds / Number f possible hands from 52 card deck
= 204,490 / 133,784,560
= 0.001529
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You are shopping for a new car. The dealer is offering a special deal whereby you can finance the car for 5 years at 0% interest. You can afford monthly payments of $225 with an absolute deviation of no more than $35. Write an absolute value inequality that represents the range of monthly car payments that you can afford. Use the absolute value button and use the variable x.
The absolute value inequality that represents the range of monthly car payments that you can afford is 52 < | x | ≤ 60.
What is absolute value inequality?An absolute value inequality is an inequality that has an absolute value sign with a variable inside.
Example: | x + 2 | > 4
We have,
Financing a car for 5 years.
Monthly payment = $225
Since 5 years = 5 x 12 months = 60 months.
The cost of the car:
= 60 x $225
= $13500
Absolute deviation = $35
This means monthly payments can be increased maximum up to $35.
So if the monthly payment is increased maximum we have the monthly payment as:
= $225 + $35
= $260
If $260 is the monthly payment then,
The number of months the car finance can be done is:
= $13500 / $260
= 51.9 months
The absolute value inequality for the range of months is:
52 < | x | ≤ 60
Where x is the number of months to finance the car.
Thus the absolute value inequality that represents the range of monthly car payments that you can afford is 52 < | x | ≤ 60.
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What is the hardest math sum in the world.
Answer:53 + 47 = 100
Step-by-step explanation:
i tink it is right
Answer:
calculators already simplified the issue of adding
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.
Ratio (red to blue) of the perimeters:
Ratio (red to blue) of the areas:
[PLEASE HELP ME FAST]
The ratio of their perimeters = 11/6
The ratio of their areas = 121/36
How to Find the Perimeter and Area of Similar Figures?Similar figures are defined as two or more figures that have different sizes but the same shape. By implication, they have the same interior angle measures but different corresponding side lengths that are proportional to each other.
Thus, the ratios of their side lengths are all the same or congruent.
To find the perimeter of two similar figures, A and B, the following ratio is used:
Side length of figure A/Side length of figure B = Perimeter of figure A/Perimeter of figure B
To find the perimeter of two similar figures, A and B, the following ratio is used:
(Side length of figure A)²/(Side length of figure B)² = Area of figure A/Area of figure B.
Given:
Side length of the red figure = 11
Side length of the blue figure = 6
Therefore:
11/6 = Perimeter of red figure/Perimeter of blue figure
Perimeter of red figure/Perimeter of blue figure = 11/6
(11)²/(6)² = Area of red figure/Area of blue figure.
Area of red figure/Area of blue figure = 121/36
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What does Bisects mean
Look at this triangle.
B
8 cm
A
22 cm
Work out length AB.
The length of AB of the given triangle ABC is 23.41cm.
What are triangles?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. The symbol for a triangle with the vertices A, B, and C is △ABC. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.So, Pythagoras's Theorem is used: a²+b² = c²
Where the hypotenuse is c and the sides of the triangle are a and b.If we swap the values,
B= 8 cmA= 22 cmThen,
22²+8² = c²484 + 64= c²√548 = cC= 23.41Therefore, the length of AB of the given triangle ABC is 23.41cm.
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When should you use histograms & why
Answer: At times when your not sure of what to do with a big set of measurements shown in a table, you can use a Histogram to arrange and display the data in a more user friendly and understandable format. It makes it easy to see where most of the values fall in a measurement scale, and how much difference there is.
Step-by-step explanation:
someone help me please fast
In first diagram;
The value of x is 25.
In second diagram;
The value of x is 35.
In third diagram;
The value of x is 29.
In fourth diagram;
The value of x is 400.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, In first diagram;
The pattern is given as;
2 × 3 + 4 × 1 = 10
5 × 2 + 3 × 2 = 16
Hence, The value of x = 3 × 5 + 5 × 2
= 15 + 10
= 25
In second diagram;
The pattern is given as;
1 × 2 × 3 = 6
4 × 4 × 5 = 80
Hence, The value of x = 1 × 5 × 7
= 35
In third diagram;
The pattern is given as;
4 × 9 + 2 = 38
8 × 6 + 3 = 51
Hence, The value of x = 4 × 6 + 5
= 29
In fourth diagram;
The pattern is given as;
5 × 2 = 10 and 10 × 10 = 100
3 × 2 = 6 and 6 × 6 = 36
Hence, The value of x = 4 × 5 = 20 and 20 × 20 = 400
So, In first diagram;
The value of x is 25.
In second diagram;
The value of x is 35.
In third diagram;
The value of x is 29.
In fourth diagram;
The value of x is 400.
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For the ones who understanding graph, when the graph isnt hitting a point like the one below where I drew the highlighted yellow line, what number would it be, or would it be 24 or 28. Can someone just explain to me what im supposed to do?
Using a point, (24, 150) on the proportional graph, the constant of proportional, k = y/x = 6.25.
How to Interpret a Proportional Graph?A proportional graph represents a proportional relationship between two variables, x and y. Variable y is dependent on variable x. x is the independent variable, and y is the dependent variable.
A proportional graph passes through the origin (0, 0). A proportional graph has a constant of proportionality, k, which is the same for every point on the graph, k = y/x. That is k remains the same, irrespective of the points on the line you chose to pick.
The graph in the image above is a proportional graph as it passes through the origin (0, 0).
To find the constant of proportional, k, any point on the line can be used.
For example, using point (12, 75) we have:
Constant of proportional, k = y/x = 75/12
Constant of proportional, k = 6.25
Also, we can also use the point, (24, 150):
Constant of proportional, k = y/x = 150/24
Constant of proportional, k = 6.25
In conclusion, using a point, (24, 150) on the proportional graph, the constant of proportional, k = y/x = 6.25.
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Will give brainliest for a detailed solution to ALL PARTS to this probability problem! Thank you!
The time to failure of a typical household refrigerator has the following PDF:
f(t)=t/a 0≤t≤4 yr
a.) What is the value of a?
b.) What is the reliability of the refrigerator for the first year?
c.) What is the probability that a refrigerator will fail during the first month?
Using integrals and probabilities, it is found that:
a) The value of a is of a = 8.
b) The reliability of the refrigerator for the first year is of 93.75%.
c) There is a 0.0004 = 0.04% probability that a refrigerator will fail during the first month.
What is the distribution?
The distribution is given as follows:
f(t) = t/a, 0≤t≤4.
The cumulative distribution function(cdf) is of 1, hence:
[tex]\int_{0}^{4} f(t) dt = 1[/tex]
[tex]\int_{0}^{4} \frac{t}{a} dt = 1[/tex]
[tex]\left(\frac{t^2}{2a}\right)_{t = 0}^{t = 4} = 1[/tex]
Applying the Fundamental Theorem of Calculus:
8/a = 1
a = 8.
Hence:
The value of a is of a = 8.
The probability that the refrigerator lasts more than one year is:
[tex]P(t > 1) = \int_{1}^{4} \frac{t}{8} dt[/tex]
[tex]P(t > 1) = \left(\frac{t^2}{16}\right)_{t = 1}^{t = 4}[/tex]
P(t > 1) = 1 - 1/16
P(t > 1) = 15/16
P(t > 1) = 0.9375 = 93.75%.
The reliability of the refrigerator for the first year is of 93.75%.
For item c, the probability that a refrigerator will fail during the first month is:
[tex]P\left(t < \frac{1}{12}\right) = \int_{0}^{\frac{1}{12}} \frac{t}{8} dt[/tex]
[tex]P\left(t < \frac{1}{12}\right) = \left(\frac{t^2}{16}\right)_{t = 0}^{t = \frac{1}{12}}[/tex]
Hence:
P(t < 1/12) = 1/(144 x 16) = 0.0004.
There is a 0.0004 = 0.04% probability that a refrigerator will fail during the first month.
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a triangular sign has three angles that all have the same measure. What is the measure of each angle
The measure of each angle of the triangular sign is; 60°
How to Identify Triangles?
There are different types of triangles such as;
Scalene TriangleIsosceles TriangleEquilateral TriangleNow, out of these three types of triangles, the only one that has all three sides and three angles equal is equilateral triangle.
Now, we know that the sum of angles in a triangle is 180 degrees. Thus, if the measure of each angle of an equilateral triangle is x, then we can say that;
x = 180/3
x = 60°
Thus, we conclude that the measure of each angle of the triangular sign is; 60°
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Kyle opened a bank account with $450. Each week he deposits $75.
A. Write a function that shows the amount Kyle has after (w) weeks.
B. Find a reasonable domain for the situation.
C. Find a reasonable range for the situation.
Pls Help me this is due tomorrow!!!! September 28th 2022 pls respond as soon as possible!!!
A. The function for the amount Kyle has after (w) weeks is f(w) = 450 + 75w.
B. We can assume a reasonable domain for the situation as [1, 2, 3, ... 6).
C. A reasonable range for the situation is {375}.
What is a domain?A domain refers to the set of all possible inputs (independent variables) for the function, including real numbers except zero.
What is a range?The range refers to the difference between the largest and smallest output values (dependent variables) of a function.
Note that the range depends on the domain.
Data and Calculations:Initial deposit = $450
Weekly deposits = $75
For (w) weeks, the total deposits = 450 + 75w
Function for the amount Kyle has after (w) weeks is f(w) = 450 + 75w.
A reasonable domain (input value for w) = 6 (six weeks).
A reasonable range (output value for 6 weeks) is 375 (900 - 525).
Thus, the function for the amount Kyle has after (w) weeks is f(w) = 450 + 75w.
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A square with an area of 64 cm² is reduced by a factor of 1/4 how long are the new sides of the square
Answer: The answer is 4cm
Step-by-step explanation:
64x1/4 = 16cm2
x2=16
x=4
so the answer is 4cm
hope this helps:)
helpppppp ur gurlllll out
Answer:
The top right and left are function. The top middle is not.
The bottom left is not a function and the bottom middle and bottom right are functions.
Step-by-step explanation:
To be a function every input can only have one output.
The top middle is not a function because the input -7 cannot have an output of 5 and 4.
the bottom right is not a function because the input-3 cannot have the output 11 and 19.
Twenty thousand raffle tickets are sold. One first prize of $3000, two second prizes of $750, and three third prizes of $200 each will be awarded, with all winners
f selected randomly. If you purchased one ticket, what are your expected gross winnings?
The expected gross winnings are
The expected gross winning is 0.255 dollars.
According to the question, twenty thousand raffle tickets were sold. There are different prizes awarded for the purchase of one ticket.
Therefore, the probability for the expected gross winning is written as:
Expected Gross = [tex]\frac{3000+(2)(750)+()3(200)}{20000} = \frac{5100}{20000}[/tex]
= 51/200
= 0.255 dollars
Hence, the expected gross winning is 0.255 dollars.
What is Probability?
Probability can be used in mathematics for the calculation of the occurrence of the events. It is the ratio of the favorable events to the total number of the occurred events. And the value of the probability is always less than one.
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