So on solving the provided question we cans ay that the coefficient of y² in the expression 2x²y -10xy²+ 5y is 10
What is the coefficient?A coefficient in mathematics is a polynomial, a series, or the multiplicative coefficient of a particular term in an expression. Typically numeric, however any expression is permitted. The term "parameter" can also refer to the coefficients themselves if they are variables. A number times a variable equals a coefficient. Coefficient examples include: The coefficient is 14 in phrase 14c 14c 14c. The coefficient is 1 for word g. multiplies the variable by this amount. example Given that "z" is a variable and that 6z is the definition of the term, the coefficient is 6. One is the coefficient of the square of x.
Here,
the coefficient of y² in the expression 2x²y -10xy²+ 5y is 10
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If AD = 4 cm and AB = 6 cm, what is the perimeter of WXYZ?
Answer:
Step-by-step explanation:
no way to answer
How do we estimate the quotient of 3 to 4 digit dividends with 1 to 2 digit?
It defines conclusions or rounding a number to the nearest decimal place or to the nearest ones, tens, hundreds, and so on.
Estimation refers to obtaining a result that is close to the correct or actual result. It involves conclusions or rounding a number to the nearest decimal place or to the nearest ones, tens, hundreds, and so on.
There are various reasons, the estimate is especially useful when there is not enough information to calculate an exact value. Accountants use estimates when they want to calculate transaction amounts.
To estimate the quotient, we round the dividend to the nearest tens, hundreds, or thousands.
There are two methods for estimating the quotient:
Division facts, and Compatible numbers.let us consider an example:
for 371 nearest value is 400 because in the tens place it is equal to 400.
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Can you please solve it
The average rate of change of the given function is 20.
What is the average rate of change of the function?It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.
The average rate of change of a function f(x) over the interval [a,b] is given by the formula:
(f(b) - f(a)) / (b - a)
So, for the function f(x) = x² + 2 as x changes from 5 to 15, we can plug in the values to find the average rate of change:
(f(15) - f(5)) / (15 - 5) = (15² + 2 - 5² - 2) / (15 - 5) = (225 - 25) / 10 = 200 / 10 = 20
So the average rate of change of the function is 20.
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PLEASE SOLVE TWO ANSWERS
BRAINLY THINGY WILL BE GIVEN
A linear function is one that visualizes a straight line on the coordinate plane.
What is a linear function?When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear. A linear function is, for instance, the progression in the number of ticks of a clock's second hand through time.
Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 indicates a straight line on a coordinate plane, indicating that it is a linear function. This function can be expressed as f(x) = 3x - 2 since f(x) can take the place of y.
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4.6.3 Test (CST): Undoing Functions and Moving Them Around
What is g(x)?
A. g(x)=-2*
B. g(x) = -x2²
C. g(x) = -x
DE
PREVIOUS
The polynomial function in given graph for g(x) is
g(x)= -x^2.
What are polynomial functions?
Polynomial is made up of two words, poly and nomial. "Poly" means many, and "nomial" means the term, and hence when they are combined, we can say that polynomials are "algebraic expressions with many terms"
Polynomial functions are expressions that may contain variables of varying degrees, coefficients, positive exponents, and constants. for e.g.
f(x) = 3x^2 - 5.
Types of Polynomial Function:
Constant Polynomial Function - A constant polynomial function is a function whose value does not change. It remains the same and also it does not include any variables.
Zero Polynomial Function - Polynomial functions with a degree of 0 are known as zero Polynomial functions.
Linear Polynomial Function - Polynomial functions with a degree of 1 are known as Linear Polynomial functions.
Quadratic Polynomial Function - Polynomial functions with a degree of 2 are known as Quadratic Polynomial functions.
Cubic Polynomial Function - Polynomial functions with a degree of 3 are known as Cubic Polynomial functions.
Quartic Polynomial Function - Polynomial functions with a degree of 4 are known as Quartic Polynomial functions.
Now,
In given graph, We fill find g(x) by putting value of x and seeing the corresponding result of y.
As for x y is
1 -1
2 -4
3 -9
-1 -1
-2 -4
Therefore, from given values we can conclude that polynomial function for g(x)= -x^2.
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What is common segment theorem?
According to the Common Segments Theorem, if a segment is merged with two congruent segments, the subsequent segments will also be congruent
what is segment ?a piece removed from a geometric form by one or more points, lines, or planes. Examples include the region of a circle enclosed by its chord and arc, or the portion of a sphere enclosed by two parallel planes. Segment is a service that makes it easier to acquire and use data from users of your digital domains because it is a customer data platform (CDP) (websites, apps, etc). Your first-party customer data may be gathered, transformed, sent, and archived using Segment. between two points on a line or curve; a segment. a segment of a solid figure or plane that is removed by an intersecting line.
given
According to the Common Segments Theorem, if a segment is merged with two congruent segments, the subsequent segments will also be congruent.
The overlapping segments that result are congruent if two collinear segments that are next to a common segment are also congruent. Intermingling Angle Theorem.
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101
Which expression can be rewritten as (x+7)(x - 1)?
(x+3)² - 10(x+ 3) - 2(x + 3) + 20
A.
B.
C.
D.
(x - 1)(x² - 6x-7)
(x + 1)
(x+3)²-16
(x+7)(x² + 4x + 3)
(x+3)
The expression which can be rewritten as (x+7)(x - 1) as required in the task content is; Choice C; (x+3)²-16.
Identifying the equivalent expression.It follows from the task content that the expression which can be rewritten as ( x + 7 ) ( x - 1 ) be determined.
By polynomial expansion, the expression (x+7)(x - 1) can be written as;
x² + 7x - x - 7
= x² + 6x - 7.
By observation, it follows that the expression which seems to have a degree of 2 is; (x + 3)² - 16.
On this note, by checking; we have;
x² + 6x + 9 - 16
= x² + 6x - 7
Ultimately, the expression which could be rewritten as (x+7)(x - 1) and is to be identified is; Choice C; (x + 3)² - 16.
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Write the slope-intercept form of the
equation of a line with a slope of −2/5 that passes through the point (15, −9/2).
The equation in slope-intercept form is y = (-2/5)x - 9/2.
What is slope-intercept?Slope-intercept form is an equation of a line that is written in the form of y=mx+b, where m is the slope of the line and b is the y-intercept. The slope-intercept form makes it easy to identify the slope and y-intercept of a line from an equation.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Therefore, for a line with a slope of −2/5 that passes through the point (15, −9/2), we can solve for b using the point-slope formula.
Point-slope formula: y - y1 = m(x - x1)
Plugging in the given information, we get:
-9/2 - (-9/2) = (-2/5) (15 - 15)
Solving this equation yields b = -9/2.
Therefore, The equation in slope-intercept form is y = (-2/5)x - 9/2.
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Translate into a mathematical expression:
15 more than the sum of 5 and a number
15+(5-n)
(5+n)+15
(5-n) +15
15+5n
The statement '15 more than the sum of 5 and a number' is equivalent to the mathematical expression (5+n)+15.
Therefore the answer is (5+n)+15.
The statement "15 more than the sum of 5 and a number" is asking for an expression that represents the value that is 15 greater than the result of adding 5 and a number together. The mathematical way to express this is:
15 + (5 + n)
Where n is the number that we are adding to 5.
15 is being added to the sum of 5 and n. The parentheses around the 5 and n indicate that those two values are being added together before the 15 is added to them.
In other forms of representation
15+(5-n) or (5+n)+15 or (5-n) +15 or 15+5n does not convey the meaning you want it to convey as these forms does not represent "15 more than the sum of 5 and a number"
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What are dilation rules?
Dilation rules refer to the mathematical rules and formulas used to calculate the image of a point, shape, or figure after it has undergone a dilation transformation.
Here are some of the most common dilation rules:
Scale Factor: The scale factor is the ratio of the length of a line segment in the image to the length of the corresponding line segment in the pre-image. For example, a dilation with a scale factor of 2 will double the length of the line segment.Center of Dilation: The center of dilation is a fixed point in the plane that remains the same distance from all points on the image and the pre-image. The center of dilation is used as a reference point to determine the new coordinates of the image. Distance Formula: To find the image of a point after dilation, the distance formula can be used. The distance formula calculates the distance between two points in the plane. Ratio: The ratio of the distance between two points on the pre-image to the distance between the corresponding points on the image is equal to the scale factor.Similarity: When dilation is done with a scale factor greater than 1, the image and pre-image figures are similar. Congruence: When dilation is done with a scale factor equal to 1, the image and pre-image figures are congruent.It's important to note that, the rules mentioned above are general rules of dilation and they might vary depending on the specific dilation transformation.
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HELP ME ASP PLEASE thank you
There are 3 pieces of fabric. Each piece of fabric is the same length. The total length of the pieces of fabric is 2 1/4 yards. How long is each piece of fabric?
The length of each piece of fabric is, 3/4 yards.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 3 pieces of fabric.
And, The total length of the pieces of fabric is 2 1/4 yards.
Here, Each piece of fabric is the same length.
Hence, The length of each piece of fabric is,
⇒ 2 1/4 ÷ 3
⇒ 9/4 × 1/3
⇒ 3/4 yards
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what is the two digit 2 in the number 45.52 as a fraction
Answer:
Step-by-step explanation:
To write 45.52 as a fraction you have to write 45.52 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
45.52 = 45.52/1 = 455.2/10 = 4552/100
And finally we have:
45.52 as a fraction equals 4552/100
What is the center point formula?
The center point formula, (x h) 2 + (y k) 2 is r, must be converted into standard form in order to get the center and radius. 2 (x-h)2 + (y-k)2 is r2 (x-h)2 + (y-k)2 =is r2).
What is center formula?We are aware that a circle's general equation is (x - h)2 + (y - k)2 = r2, where (h, k) is its center and r is its radius.Examples of the Circle's CenterSolution: (x - h)2 + (y - k)2 = r2 is the equation near the center of the circle. The radius (r) is specified as 5 units, while the center's (h, k) coordinates are (0, 0).The equation for the circle, (x h) 2 + (y k) 2 = r, must be converted into standard form in order to get the center and radius. 2 (x-h)2 + (y-k)2 = r2 (x-h)2 + (y-k)2 = r2), where r is the radius and h and k are the coordinates of the center.To learn more about center point formula refer to:
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Another one of Carla’s friends suggests that she make the sample larger and survey 100 students. Which sample size is more likely to represent the population? Explain.
In general, a larger sample size is more likely to represent the population than a smaller sample size. This is because a larger sample size increases the chances that the sample will be representative of the population.
what is sample size?When the sample size is that larger, there is a lower chance of getting a skewed or biased sample. A larger sample size also tends to have less variability in the sample statistics, making it more likely to provide accurate estimates of population parameters.
However, it is important to note that increasing the sample size does not guarantee that the sample is representative of the population. The sampling method used, and the way the sample is selected, can also have an impact on the representativeness of the sample.
Hence, surveying 100 students is more likely to represent the population than surveying a smaller sample size like 10 students, but it does not guarantee a perfect representation of the population.
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ertwertewrtwetteryerty
Convert 100 in. to yards, feet, and inches.
Answer: 2.78 Yards, 8.33 ft,
Step-by-step explanation:
Answer:
100 in. = 100 inches, 8 feet 4 inches, or 2.77777777778 yards.
Step-by-step explanation:
y
.x
Slope(m):
2
y-intercept(b):
yom
wall Equation:
A.
Y
When the slope is given as 2, the result of the slope intercept form is y = 2x + c where m stands for the slope and c for the y-intercept .
what is slope intercept ?The intersection point is the location on the y-axis where the slope of the line crosses. where the y-axis crosses that point on a line or curve. By using y = mx+c as the equation for the straight line, where m stands for the slope and c for the y-intercept, this is proven. The slope (m) and y-intercept (b) of the line are denoted in the intercept form of the equation. For equations of the intercept form (y=mx+b), the slope and y-intercept, respectively, are m and b. Furthermore, some equations may be rewritten to appear as slope intercepts. For instance, the slope and y-intercept change to 1 and 0 respectively when y=x is represented as y=1x+0.
given
slope ( m ) = 2
= y = 2x + c
When the slope is given as 2, the result of the slope intercept form is y = 2x + c.
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What is the relationship used and solve for the variable
Answer:
y = 43, x = 23
Step-by-step explanation:
[tex]180 - 63 = 3y - 12\\117 = 3y - 12\\129 = 3y\\y = 43[/tex]
Supplementary angles add up to 180 and alternative angles (Z-pattern) are the same
[tex]180 - 63 = 5x + 2\\117 = 5x + 2\\115 = 5x\\x = 23[/tex]
Represent using Rational Algebraic expressions:
Rashid travels 240km from Abu Dhabi to Sharjah driving 120km/h for 2 hours. His parents strongly suggest he slow down by v km/h, even though it will take him t hours longer to make the trip, or he will lose his driving privilege. Which relation shows time, t, it will now take Rashid to make the trip relative to the speed, v with which he slows down?
The expression that shows time, t, it will now take Rashid to make the trip relative to the speed, v with which he slows down is t = (240 - (v/120) * 240) / (120 - v)
How to illustrate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
The relation between time, t, and the speed at which Rashid slows down, v, is given by the formula:
t = (240 - (v/120) * 240) / (120 - v)
t = time
v= speed.
This formula can be derived by using the distance formula (distance = speed x time) and the fact that the distance traveled is constant (240 km).
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Given the figure below, determine the measures of the four lettered angles. Explain how you found each angle measure and name the relationship(s) you used to do so.
Answer:
<a=113, <b=67, <c=126, <d=54
Step-by-step explanation:
<a= 180-67=113 degrees. Why? Angles on a straight line add up to 180
<b=67 degrees Why? Because it is an alternate interior angle with 67degrees and alternate interior angles are equal
<d = 54 degrees Why? Because it is an alternate interior angle with 54 degrees and alternate interior angles are equal
<c=180-54=126 degrees Why? Because it is a co-interior angle with <d which is 54 degrees and co-interior angles add up to 180 degrees
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I NEED URGENT HELP! 15 POINTS!
Jane had 27 stickers two weeks ago. Then she bought the same numbers of stickers each day for two weeks. Now she has 237 stickers. How many stickers did Jane buy each day?
Raymond owns a used pickup truck that he wants to sell. A use-vehicle guide shows that its average retail value is $17,600. He adds $1,700 for 4-wheel drive, $475 for an entertainment system, $800 for a special trim package, and $225 for power locks. He also adds $125 for a sliding rear window, $325 for a towing package, $250 for power windows, and $3,125 for a diesel engine. He deducts $675 for having a manual transmission. He adds $450 for having less than the expected mileage. What is the average retail price of Raymond's vehicle?
The average retail price of Raymond's vehicle is $24,400.
What is Average Retail Price?
Average price is a measure of a range of prices. It is calculated by taking the sum of the values and dividing it by the number of prices being examined. The average price reduces the range into a single value, which can then be compared to any other point to determine if the value is higher or lower than what would be expected.
average retail value = $17,600
All the additions to the average retail value are;
$1,700 for 4-wheel drive
$475 for an entertainment system
$800 for a special trim package
$225 for power locks
$125 for a sliding rear window
$325 for a towing package
$250 for power windows
$3,125 for a diesel engine
$450 for less than expected mileage
Deductions
$675 for having a manual transmission
Average retail price = Average retail value + additions - deductions
Average retail price = $17,600 + ($1,700+$475+$800+$225+$125+$325+$250+$3,125+$450) - $675
Average retail price = $17,600 + $7,475 - $675
Average retail price = $24,400
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How many solutions does this system of equations have? Explain how you know.
(y + 2/3x =4
2x = 12-3y
On solving the provided question, we can say that the - by solving algebraic equation x= 0 and y= 4.
What do basic algebraic equations entail?A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Check out algebraic expressions as well. Equations, or the equal sign, simply indicate equality. With mathematics, and algebraic expression is one that is constructed using variables, constant algebraic numbers, and algebraic operations. An algebraic expression is, for instance, 3x2 2xy + c.
y+ (2/3)x = 4
12—3y
3y +6x 12
2x+3y=12
by subtracting2frorn1.
4x=o
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\A cone is inverted and filled with water to 3/4 of its height. What percent of the cone's volume is filled with water
Water fills the cone to a capacity of 75%. 0.75 is the decimal equivalent of 75%.
How the Percentage is calculated?Find the whole amount of what you're looking for to get a percentage of.
To calculate the percentage, divide the number.
Add 100 to the value.
A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, 35% is equal to the fraction 0.35 or the decimal 0.35.
The value of the number out of 100 is the proportion of the number. For instance, there are 26 females and 24 boys in a class. As a result, 52 out of 100 students in the class are females, or 52% of the class.
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Percentages.
According to our question-
volume of water = (3/4) * (1/3)(a)(h)
volume of water = (3/4) * volume of cone
volume of water = 75% of the volume of cone
75% of the cone's volume is filled with water.
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If The Robotic team ordered 4 pizza and only 5 member how up , how much pizza will each member receive if hared equally
Each member would receive 0.8 pizza.we divided the number of pizzas (400) by the number of members (5) to get 8.
1. Divide the number of pizzas (4) by the number of members (5): 4 ÷ 5 = 0.8
2. Each member would receive 0.8 pizza.
Each member would receive 8 pizza.
1. Multiply the number of pizzas (4) by the number of members (100): 4 x 100 = 400
2. Divide the number of pizzas (400) by the number of members (5): 400 ÷ 5 = 8
3. Each member would receive 8 pizza.
If The Robotic team ordered 4 pizza and only 100 members showed up, each member would receive 8 pizza if the pizzas are shared equally. To calculate this, we first multiplied the number of pizzas (4) by the number of members (100) to get 400. Then, we divided the number of pizzas (400) by the number of members (5) to get 8. Therefore, each member would receive 8 pizza.
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2. Ciara needs a $12,000 loan to purchase a car.
For which loan option will she pay the least
interest? Assume all rates are annual simple
interest.
A. 48-month loan; 5% rate
B. 60-month loan; 4.5% rate
C. 66-month loan; 3.75% rate
D. 72-month loan; 4% rate
Answer: To find out which loan option will have the least interest, you need to calculate the interest amount for each option. You can do this by using the formula:
Interest = Principal x Interest Rate x Time (in years)
For option A, the interest amount would be:
Interest = $12,000 x 0.05 x (48/12) = $2,400
For option B, the interest amount would be:
Interest = $12,000 x 0.045 x (60/12) = $3,000
For option C, the interest amount would be:
Interest = $12,000 x 0.0375 x (66/12) = $2,970
For option D, the interest amount would be:
Interest = $12,000 x 0.04 x (72/12) = $3,840
As we can see the lowest interest amount is option C which is $2,970. Thus Ciara will pay the least interest if she chooses option C.
Step-by-step explanation:
two sides of a triangle are 11 centimeters and 14 centimeters . What are all possible values for the length x of the third side?
The range of possible values of the third side of the triangle is 3 < x < 25. That is, the possible whole number values are 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.
Calculating the possible length of a side of a triangleFrom the given information, we are to determine all possible values for the length x of the third side of the given triangle
From the given information,
One of the sides of the triangle is 11 centimeters in length
and
The length of the other side is 14 centimeters
From one of the properties of a triangle,
The third of a triangle is greater than the positive difference of the other two sides and the third side is lesser than the sum of the other two sides.
if the third side of the triangle is x
Then,
x < 14 + 11
x < 25
and
x > 14 - 11
x > 3
Thus,
x > 3 and x < 25
3 < x and x < 25
3 < x < 25
Thus, the range of possible values is 3 < x < 25.
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What happens when we decrease the exponent of 10 by 1?
When we decrease the exponent of 10 by 1, the number becomes one-tenth of the previous number.
For the fixed base(10), if the exponent decrease by 1, the number will becomes one-tenth of the previous number.
What are the rules of exponents?The Power Rule for Exponents is (a^m)^n = a^m*n. To increase a number with an exponent to a power, we need to multiply the exponent times the power. Negative Exponent Rule is x^-n = 1/x^n. We need to invert the base to change a negative exponent into a positive.
Exponents are used to represent repeated multiplication of a number by itself. For example, 7 * 7 * 7 can be showed as 73. Here, the exponent is 3 that stands for the number of times the number 7 is multiplied. The base here is 7 that is the actual number which is getting multiplied. So, initially exponents or powers shows the number of times a number can be multiplied. If the power is 2, it means the base number is multiplied two times with itself.
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Is Y 10x a direct variation?
Yes, the given equation y = 10x is a direct variation.
Direct variation is a type of proportionality in which one quantity directly varies with respect to a change in another quantity. This means that if one quantity increases then the other quantity will also experience a proportionate increase.
Similarly, if there is a decrease in one quantity then the other quantity also decreases. Direct variation is a linear connection hence, the graph will be a straight line. Further, if the two entities are in a direct variation relationship then one will be a constant multiple of the other.
A direct variation equation has the form
y = kx
Here, k is the constant of variation
Now, y = 10x is in this form, thus it is a direct variation.
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