The coefficient of x²y in the product ( 7x²-5y) ( x²+3y) is 16.
The coefficient of x²y in the product (7x²-5y) (x²+3y) is the numerical factor that is multiplied to x²y when the two polynomials (7x²-5y) and (x²+3y) are multiplied together.
To find the coefficient of x²y in the product, you can use the distributive property of multiplication over addition, also called the FOIL method, which states that to multiply two binomials, you must multiply the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.
The product of (7x²-5y) (x²+3y) can be expanded as follows:
(7x²-5y) (x²+3y) = 7x²x² + 7x²3y -5yx² -5y3y
=7x⁴ + 21x²y -5x²y - 15y²
= 7x⁴ + 16x²y - 15y²
So, the coefficient of x²y in the product ( 7x²-5y) ( x²+3y) is 16.
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The Chamber of Commerce of a city in central Florida is making brochure to attract tourists. They recorded the high temperatures (in degrees Fahrenheit) for a week in January to be 75, 72, 73, 56, 62, and 71. If you were a tourist planning to visit the area, which of these measures of central tendency would be the best to use as the most accurate indicator of the temperature for planning your wardrobe? Correct mean median mode range
The measure of central tendency that would be the best to use as the most accurate indicator of the temperature for planning your wardrobe is the mean.
What is the mean?The ratio between the sum of all observations and the total number of observations in a data set is known as the mean in statistics. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set.
When a data set is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
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In the triangle below, with right angle Q, suppose that m/R= (3x+2) and m/S= (2x+18).
Find the degree measure of each angle in the triangle.
What is the y-intercept of y =- 2 5?
Comparing the given expression with the slope-intercept form, the intercept value is calculated. And the value is -2/5.
A line's slope gives information about its steepness or indicates how much y rises as x rises. The equation is typically written as y=mx+b in slope-intercept form. The slope in this equation is represented by the letter m, and the y-intercept is represented by the letter b. The y-intercept is calculated in the subsequent step by comparing the given expression with this.
The given expression is y =- 2/5. Comparing this expression with y=mx+b, we get, m=0, x=0, and b=-2/5. Therefore, the required y-intercept is -2/5.
The complete question is -
What is the y-intercept of y =- 2/5?
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Ellie is 1.75 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 20.25 meters. She stands 16.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
To find the height of the tree, we can use the tangent of the angle between the top of the tree and the tip of Ellie's shadow to find the height of the tree.
Tangent(theta) = Opposite / Adjacent
Opposite = height of tree
Adjacent = distance between Ellie and the tree
Tangent(theta) = height of tree / 16.2
We know that:
Tangent(theta) = 20.25 / 16.2
We can solve for the height of the tree by multiplying both sides of the equation by 16.2:
height of tree = Tangent(theta) * 16.2
height of tree = (20.25 / 16.2) * 16.2height of tree = 20.25
So, the height of the tree is 20.25 meters to the nearest hundredth of a meter.
Answer: the height of the tree is 20.25 meters to the nearest hundredth of a meter.
Step-by-step explanation:
Use the quadratic formula to find the solutions to the quadratic equation
below.
x-5x-4 = 0
O A. x =
O
-5+√41
2
B. x = 5±√41
O c. x =
C.
-5+√/29
D. x = 5√2
Answer:
A, B
Step-by-step explanation:
[tex]x^2-5x-4=0 \\ \\ x=\frac{5 \pm \sqrt{(-5)^2-4(1)(-4)}}{2}[/tex]
On simplifying, the correct answers are A and B.
How do you convert base 10 to base 4?
Answer:
First, divide the number by the base to get the remainder. This remainder is the first, ie least significant, digit of the new number in the other base
Then repeat the process by dividing the quotient of step 1, by the new base. ...
Repeat this process until your quotient becomes less than the base
Step-by-step explanation:
If a1 = 4 and an = -3an-1 - 4 then find the value of a3
The 3rd term in the given sequence is 45
What is sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, first and nth term of a sequence a₁ = 4 and aₙ = 3aₙ₋₁ + n
a₁ = 4
aₙ = 3aₙ₋₁ + n
So, a₂ = 3a₂₋₁ + 2
= 3a₁ + 2
= 3×4+2
= 14
Therefore,
a₃ = 3a₋₁ + 3
= 3a₂ + 3
= 14×3+3
= 45
Hence, a₃ = 45
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summarize how the high temperature in this city changed over the 15 days
The temperature in this city changed by 7.5 degrees Celcius
How to determine the temperature changeFrom the question, we have the following parameters that can be used in our computation:
Rate of change = 0.5 degree Celcius daily
Number of days = 15
Using the above as a guide, we have the following:
Total change = Rate of change * Number of days
Substitute the known values in the above equation, so, we have the following representation
Total change = 0.5 * 15
Total change = 7.5
Hence, the total change is 7.5 degrees
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Complete question
The temperature of a City changes by 0.5 degree Celcius daily in the month of February. Summarize how the high temperature in this city changed over the 15 days
in 2009 the average weekly wage of men exceeded that of a woman by $162. the sum of their average wages equaled $1476. write and solve a system of equations to determine the average wage of men and of women in 2009
A chef can bake 15 pies in 1 hour. What is the rate of pies per minute?
Answer: The chef can bake (a) 0.25 pies/min.
Step-by-step explanation:
1 hour = 60 minutes
1 hour = 15 pies
15=60m
15/60 = 60/60 m
0.25 = m
The rate in pies per minute is 0.25. Therefore, option A is the correct answer.
Given that, a chef can bake 15 pies in one hour.
We need to find the rate in pies per minute.
What is the rate per minute?
Rate per minute was calculated by dividing the number of events observed by the observed minutes in the observation.
Simplify the rate by dividing each number by the greatest common factor.
Here, divide the number of pies by 60 minutes (1 hour=60 minute)
Now, 15/60=0.25 pies/min
The rate in pies per minute is 0.25. Therefore, option A is the correct answer.
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originally by brainly user bhoopendrasisodiya34
Write a story problem that will result in the problem 5 + (-12)
what is the difference between 880 an 580
Need help right now please I don’t understand why this question is so hard
Answer:
A:33
B:22
C:74
Step-by-step explanation:
A:
2x2x2=8
5x5=25
8+25=33
B:
7x7=49
3x3x3=27
49-27=22
C:
8x8=64
square root of 100 is 10
64+10=74
i hope this helps :)
A tring i placed on the outide of a clock going clockwie from 12to 9. The clock ha a radiu of 6 inche. What i the length of the tring
The length of the string is 37.7 inches string is placed on the outside of a clock going clockwise from 12 to 9.
To calculate the length of the string, first, start with the fact that the circumference of a circle is equal to pi multiplied by the diameter. The diameter of the clock is 12 inches, so then the circumference is 12π or 37.7 inches.
Since the string is going around the outside of the circle, the length of the string is equal to the circumference which is 37.7 inches. To get this answer, take the radius (6 inches) of the clock and double it to get the diameter (12 inches).
Multiply the diameter by pi (3.14) to get the circumference (37.7 inches) and then the length of the string is the same as the circumference.
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Correct question.
A string is placed on the outside of a clock going clockwise from 12 to 9. The clock has a radius of 6 inches. What is the length of the string?
What is the rule of the sequence 2 4 6?
The rule of the sequence 2 4 6 is that each term is obtained by adding 2 to the previous term.
In an arithmetic sequence, the rule is that each term is obtained by adding a fixed value (common difference) to the previous term. In this case, the common difference of the sequence 2 4 6 is 2. So, 2 is added to the first term (2) to get the second term (4), and 2 is added to the second term (4) to get the third term (6).
It is also possible to express the rule of the sequence by using the formula of an arithmetic sequence, which is a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the number of the term.
In this case, a_1 = 2, d = 2, so the rule of the sequence is a_n = 2 + (n-1)2 = 2n, where n is the number of the term.
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Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below.
0.40 x + y = 45. x + 0.55 y = 18.75.
Which explains the error that Krista made?
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below.
0.40 x + y = 45. x + 0.55 y = 18.75.
Which explains the error that Krista made?
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not use the correct decimal to represent the total cost of the stamps.
Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Krista put 0.55 in the second equation meant for the value of stamps.
Krista put 0.40 in the first equation meant for the number of stamps. Therefore, option A is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let 40 cents stamps be x and 55 cents stamps be y.
Now, x+y=45 --------------(I)
0.40x+0.55y=18.75 --------------(II)
System of equations Krista written are
0.40x+y=45 and x+0.55y=18.75
Therefore, option A is the correct answer.
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What are these two problems fully simplified?
Answer:
1. 3/2 x m^5 x n
2. 54 x m^11 x n^9
A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 26 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.
5.2 feet
10.4 feet
12.2 feet
15.4 feet
Answer:
10.4 feet
Step-by-step explanation:
26/5 = 5.2
5.2(2)=10.4
The length of the tree's shadow is 10.4 feet. Option B is correct.
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
We can use similar triangles to solve this problem.
The ratio of the height of the fence post to its shadow is the same as the ratio of the height of the tree to its shadow.
(height of fence post) / (length of fence post's shadow) = (height of tree) / (length of tree's shadow)
Substituting the given values, we get:
5 / 2 = 26 / x
where x is the length of the tree's shadow.
Cross-multiplying and solving for x, we get:
x = 26 × 2 / 5
= 10.4 feet
Therefore, the length of the tree's shadow is 10.4 feet.
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solve each system by substitution
y=4x
x-2y=56
Answer:
-8
Step-by-step explanation:
Since it tells you that y=4x you can use that to replace y in the next equation so now it's
X-2(4x)=56
Distribute the -2
X-8x=56
Subtract -8x from x
-7x=56
Divide by -7
X=-8
Answer:
x=−8
y=−32
pspdwdpvprngbpnrpt
Can you draw a triangle with sides of length 2cm 3cm and 7cm?
It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).
In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.
To check this we firstly add the 2 and 3
2 + 3 < 7
5 > 7
Now we add 2 and 7
2 + 7 > 3
9 > 3
Now we add 3 and 7
7 + 3 > 2
10 > 2
It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).
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Can a triangle be formed having the length of sides 2cm 3cm & 5cm justify it?
Can a triangle be formed having the length of sides 2cm 3cm & 5cm.Therefore, this triangle is not possible.
Can 2cm 5cm and 3cm make a triangle?In a triangle, the sum of the lengths of either two sides is always greater than the third side. Given that, the sides of the triangle are 2 cm, 3 cm, 5 cm. Hence, this triangle is not possible.When the two legs of an isosceles right triangle are congruent to one another and the non-right angles are both 45 degrees, the triangle is known as a 45 45 90 triangle. When the two legs of an isosceles right triangle are congruent to one another and the non-right angles are both 45 degrees, the triangle is known as a 45 45 90 triangle. The Pythagorean theorem can frequently be used to locate the missing legs or hypotenuse of 45 45 90 triangles. The sides' to the hypotenuse's ratio.To learn more about triangle refer to:
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Find the range for the measure of the third side of a triangle when the measures of the other two sides are 6 ft and 19 ft.
The range of possibilities for the third side of the triangle, after using the triangle inequality theorem is 13 < n < 25.
According to the theorem of triangle inequality, the sum of any two of a triangle's sides must exceed the length of the third side. When we know the lengths of two sides, x and y, we can apply the triangle inequality theorem to estimate the length of the third side, which will be between x + y and x - y.
As a result,
x – y < n < x + y
19 – 6 < n < 19 + 6
13 ft < n < 25 ft
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Why can’t astronomers take a picture of a black hole?
Gravity is so strong that even light cannot escape a black hole.
The nearest black hole is too far away to be seen.
There is no way to detect the locations of black holes.
Black holes are too large to photograph.
Answer:
A
Step-by-step explanation:
edge 2023
Which equation represents a linear function?
�
=
1
�
y=
x
1
�
=
2
�
−
−
3
y=2x−−3
�
=
5
�
3
+
8
y=5x
3
+8
�
=
�
2
+
2
�
+
1
y=x
2
+2x+1
Answer:
[tex]y = 2x - - 3[/tex]
That's the answer. Hope this helps
Please could you give me brainliest
I need help on filling in the blanks for these shapes
We can see here that the triangles have been attached to the corresponding angles and sides.
(a) ∠A ≅ ∠Y
∠B ≅ ∠Z
∠C ≅ ∠X
(b) Side AB ≅ Side YZ
Side AC ≅ Side YX
Side BC ≅ Side ZY
(c) ΔABC ≅ Δ YZX
What is congruent?Congruent refers to the state of two geometric figures or shapes having the same size and shape. Two figures are congruent if one can be superimposed on the other by a combination of rotation, reflection, and translation.
Congruence is often denoted by the symbol “≅”. Congruence is a fundamental concept in Euclidean geometry, and it applies to many types of geometric figures, including lines, angles, triangles, and polygons.
We can see that the various angles and sides has been shown above.
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What base value means?
There are some means for value. There are:
In mathematics and computing, a base value refers to the number of unique digits or symbols used in a numeral system.In other numeral systems, a different base value is used.In computer science, a base value is also used in the representation of data in different formats.BASE VALUEIn mathematics and computing, a base value refers to the number of unique digits or symbols used in a numeral system. For example, the most common base value used in everyday life is base 10, which uses the digits 0 through 9 to represent numbers. In this system, the number "42" represents the value 4 x 10¹ + 2 x 10⁰, or 42.In other numeral systems, a different base value is used. For example, in base 2, also known as binary, only the digits 0 and 1 are used. In this system, the number "1010" represents the value 1 x 2³ + 0 x 2² + 1 x 2¹ + 0 x 2⁰, or 10 in base 10.In computer science, a base value is also used in the representation of data in different formats. For example, in binary data, the base value is 2, while in hexadecimal data, the base value is 16. Understanding the base value and how to convert between numeral systems is important in computer science, as it helps in the understanding of how data is stored and processed by computers.Learn more about Base Value Explanation here:
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Find the missing values so that the area of the product is equal to the
area of its sum.
On solving the provided question, we can say that here, in the equation = (2x+3y)(3y-3)=12x+3y-15. so the missing values are = 3y
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
here, in the equation
(2x+3y)(3y-3)=12x+3y-15
so the missing values are
3y
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8.3 points
What is the leading coefficient in the polynomial 2v³ +4v² + 1?
2
4
1
3
The leading coefficient in the polynomial 2v³ +4v² + 1 will be A. 2
How can you determine a polynomial's leading coefficient?The term with the highest power of x is the leading term in a polynomial. As an illustration, the leading term in 7 + x + 3x² is 3x².
The leading coefficient is the number in front of the variable with the highest power
A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
In this case, this will be 2v³. The coefficient is 2.
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Trevor's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 5 coffees in all, 4 of which were regular. What percentage of the coffees were regular? Write your answer using a percent sign (%)
Answer:
80%
Step-by-step explanation:
since there were 5 coffees but 4 out of it were regular
mathematically
that's 4/5
but to percentage
that's times 100
4/5×100
4×100 all divided by 5
400 divided by 5
80%
Which one of the following triangles has only 2 equal sides.(i) Equilateral triangle(ii) Scalene Triangle(iii) Isosceles Triangle
The correct option is (iii) Isosceles triangle is the one which has only 2 equal sides.
Every triangle is made up of three sides and three angles. A side is opposing an angle or a vertex if none of its ends is at the given angle's vertex. An angle is included between two sides if their common terminus is the angle's vertex.
Triangles are divided into one of three types based on the lengths of its sides: scalene, isosceles, or equilateral. A triangle is scalene if none of its sides are equal (of equal length). The triangle is isosceles if two or more of its sides are equal. A triangle is equilateral if all three of its sides are equal. By definition, all equilateral triangles are also isosceles.
Therefore, the correct answer is option (iii) Isosceles Triangle
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What is a equivalent expression for 4x - 7y - 5z + 6 and -3x - 8y - 4 - 8/7z
The equivalent expressions for the expressions are
4x - 7y - 5z + 6 = 2(2x + 3) - 7y - 5z-3x - 8y - 4 - 8/7z = -3x - 4(2y - 1 - 2/7z)How to determine the equivalent expressionsFrom the question, we have the following parameters that can be used in our computation:
4x - 7y - 5z + 6 and -3x - 8y - 4 - 8/7z
Solving the first expression, we have
4x - 7y - 5z + 6
Rewrite as
4x + 6 - 7y - 5z
Factor out 2
2(2x + 3) - 7y - 5z
Solving the second expression, we have
-3x - 8y - 4 - 8/7z
Factor out 4
-3x - 4(2y - 1 - 2/7z)
Hence, the equivalent expression is -3x - 4(2y - 1 - 2/7z)
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