We can use polynomial division concept for the given question. The quotient for the polynomial division is (2x^2+11x+32).
How can we do polynomial division?Divide the first term of the dividend by the first term of the divisor to divide polynomials using long division. The quotient's initial term is this. Dividend is calculated by multiplying the new term by the divisor. The new dividend is this difference. A polynomial is divided by another polynomial in an arithmetic operation called division, usually with a lower degree than the dividend. A polynomial may or may not be produced when two polynomials are divided.
CalculationTake Dividend as (2x^3 + 5x^2 - x + 6)
Take Divisor denominator as (x-3)
By using long hand division technique,
(2x^3+5x^2-x+6)/(x-3)
⇒(x-3)(2x^2+11x+32)/(x-3)
∴ The quotient for the given polynomial division is 2x^2+11x+32 and the
Remainder for the polynomial division is 90.
We can use polynomial division concept for the given question. The quotient for the polynomial division is (2x^2+11x+32).
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this type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.
As per the concept of survey, Nonresponse is the type of bias that happens when individuals with certain characteristics are less likely to respond to surveys than others.
What is the working process of survey?
In general terms, survey refers a set of questions people are asked to gather information or find out their opinions, or the information gathered by asking many people the same questions.
Here we need to find the type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.
As we know that, when respondents to a survey question or the entire survey are unable or unwilling to respond, this is known as nonresponse bias. Individuals have many excuses for not responding and a cause of error must be systematic in order to be categorized as biased.
Here the distinction between respondents and non-respondents frequently plays a role in explaining why there was no response.
Therefore, Non-response bias, also known as participation bias, is sometimes the result of shoddy survey design and poor questionnaire targeting.
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Find the slope on the graph.
Answer:
-1/2
Step-by-step explanation:
Rise/Run
A person carries a mass of 10 kg and walks along the +x-axis for a distance of 100m with a constant velocity of 2 m/s. What is the work done by this person?.
Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.
As given in the question,
Mass of a person 'm' = 10kg
Displacement of the person while walking along +x axis 'd'= 100m
Constant velocity = 2m/s
Let 'w' be the work done by the person
Work = Force × Displacement
Force = mass × acceleration
Acceleration = (final velocity - initial velocity)/ total time taken
Here, Constant velocity ⇒final velocity - initial velocity = 2- 2
= 0m/s
⇒Acceleration = 0m/s²
⇒Force = 10 × 0
= 0Kgm/s²
⇒Work done = 0 × 100
= 0 Joule
Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.
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the foci of an ellipse are (5,0) and (-5,0), and the vertices are (8,0) and (-8,0). find an equation of the ellipse. then sketch the conic section and bring the sketch to your discussion section. which form (below) does the equation of the given ellipse fit?
according to the question
given data in the question,
the foci of an ellipse are (5,0) and (-5,0)
and vertices are (8,0) and (-8,0)
** Standard Form of an Equation of an Ellipse is
where Pt (h k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and are the foci distances from center: a > b
Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).
then using √(64+b^2 )=5 to find b
64 - b^2 = 25, b = √ 39
**** The standard form of the equation is an ellipse
where Pt (h, k) is the center. (variable aligned to match long axis)
a and b are the respective vertex distances from the center.
and are the distances from the center to the focal point.
a > b
hyperbolic equations in normal form,
C (h, k) and 2b units up and down from the centre at vertex 'b' Horizontal axis length
Focus units up and down from the center along x = h
& asymptotes straight line through C (h, k) with slope m = b/a
after that.
C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis
The focal points are units left and right of the center along y = k.
asymptotes straight line through C (h, k) with slope m = b/a
parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),
where (h, k) is the vertex and y = k is the line of symmetry.
The standard form is where the focus is (h + p, k )
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** Standard Form of an Equation of an Ellipse is
where Pt (h k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and are the foci distances from center: a > b
Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).
then using √(64+b^2 )=5 to find b
64 - b^2 = 25, b = √ 39
**** The standard form of the equation is an ellipse
where Pt (h, k) is the center. (variable aligned to match long axis)
a and b are the respective vertex distances from the center.
and are the distances from the center to the focal point.
a > b
hyperbolic equations in normal form,
C (h, k) and 2b units up and down from the center at vertex 'b' Horizontal axis length
Focus units up and down from the center along x = h
& asymptotes straight line through C (h, k) with slope m = b/a
after that.
C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis
The focal points are units left and right of the center along y = k.
asymptotes straight line through C (h, k) with slope m = b/a
parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),
where (h, k) is the vertex and y = k is the line of symmetry.
The standard form is where the focus is (h + p, k )
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The equation of the ellipse with foci as (5,0) and (-5,0) is
[tex]\frac{x^2}{49}+\frac{y^2}{24}=1[/tex]
What is an ellipse simple definition?A plane section of a right circular cone that is a closed curve is produced by a point moving in such a way that the sum of its distances from two fixed points is a constant.
How do you know if an equation is an ellipse?Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is the equation in standard form for a conic section. Here, A, B, C, D, E, and F are all real integers, and A 0, B 0, and C 0. The conic section is an ellipse if B2 - 4AC 0.
where the center is Pt(h,k). (a variable placed such that it lines up with the main axis)
The relative vertices' distances from the center are a and b.
the foci's separations from the center are: a > b
It's suggested that you sketch it: Vertices (-7,0), Focus (-5,0), and (5,0). (7,0).
then finding b
when 49 - b2 = 25.
The relative vertices' distances from the center are a and b.
furthermore,
the foci's separations from the center are: a > b
The equation for an opening up and down hyperbola
having C(h,k), vertices "b" units up and down from the center, and a transverse axis length of 2b.
Foci
29 units away from the center, along x = h
& Asymptotes Lines Through C(h,k), Slope m = b/a
Equation of a Hyperbola Opening Right and Left Standard Form:
with C(h,k), vertices 'a' units to the right and left of the center, and 2a the transverse axis length
y = k along 29 units to the right and left of the center
& Asymptotes Lines through C(h,k), slopes m = b/a
is the vertex form of a Parabola with an opening up (a>0) or down (a0).
where the vertex is (h,k), and the line of symmetry is (x = h).
The conventional form is with (h,k + p) as the main focus.
the vertex form of a Parabola opening right(a>0) or left(a0).
where y = k is the Line of Symmetry and (h,k) is the vertex
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i need help with my Math homework please
Answer: I may not be much of a help, but....
Step-by-step explanation: Count up each year by 2%, and then do the rounding! I really do hope this helps!
Answer:
Step-by-step explanation:
per year=2%5 years=10%6 years=12%7 years=14%8 years=16%So basically ur adding 2 % every year.
What is the equation of a line that passes through 1 2 and is perpendicular to the given line?
The equation of the line that passes through (1,2) and is perpendicular to the given line is y = -x + 3 with slope 2.
Given line: y = 2x - 1
We know that two lines are perpendicular if their slopes are negative reciprocals of each other.
The provided line's slope is m1 = 2.
Therefore, slope of the line that passes through (1,2) and is perpendicular to the given line = m2 = -1/2
Now, we can use the point-slope equation of a line to find the equation of the line:
y = -x + 3
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Given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
True
False
It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.
The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.
A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.
The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
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Which of the following equations has the solutions shown in the graph?
-5-4-3-2
7
n
2
w
+
&
a.
y=x²-3x+ 2
b. y=x²+2x-3
1 23 4
C. y=x²+x-6
d.
y=x²-x-6
Answer: can you provide the graph so i can give an answer?
Step-by-step explanation:
a ball of radius 16 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid.
The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
Given that,
A circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
We have to determine the resulting solid's volume.
We know that,
Volume of the original ball= 4/3πr³
Radius r=16
Volume v₁=4/3π(16)³ = 16384π/3
Volume of hole = 4/3πr³
Radius r=5
Volume v₂=4/3π(5)³ = 500π/3
Volume of the resulting solid = v₁-v₂
= 16384π/3 - 500π/3
= 15882π/3
= 16623
Therefore, The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
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What value of x makes the equation 52(x−2)=4 true?
Answer:
To solve for the value of x that makes the equation 52(x−2)=4 true, we need to first isolate the x term on one side of the equation. We can do this by dividing both sides of the equation by 52 to get rid of the coefficient in front of the x term.
Dividing both sides of the equation by 52, we get:
52(x−2) = 4
(x−2) = 4/52
(x−2) = 1/13
Next, we can add 2 to both sides of the equation to isolate the x term on the left side of the equation.
(x−2) + 2 = 1/13 + 2
x = 1/13 + 2
x = (1/13) + (2/1)
x = (13+26)/13
x = 39/13
Therefore, the value of x that makes the equation 52(x−2)=4 true is x = 39/13.
Step-by-step explanation:
write the standard form of the equation of each line given the slope and y-intercept
slope= -¼ y-intercept = 0
slope= -1 y-intercept = -2
slope = -1 y- intercept= -1
slope= -2 y-intercept= 0
If a rectangle is 11 feet long and 5 feet wide, what is its area in square feet?.
Answer: 55 square feet
Step-by-step explanation:
To find area:
Length * Width
11 * 5 = 55
Answer: 55 sq. feet
explanation : 5 x 11 is 55, so 55 square feet
Triangle EFG is similar to triangle HIJ.find the measure of side HI round answer to nearest ten
Since the ΔEFG is similar to ΔHIJ, so side HI is equivalent to the measure of length of segment [EF] divided by the scale factor [K].
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. TThe sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as -equilateral triangle, scalene triangle, isosceles triangle etc.
We have triangle ΔEFG is similar to triangle ΔHIJ.
Since ΔEFG is similar to triangle ΔHIJ, then we can write -
EF/HI = FG/IJ = EG/HJ = K [constant]
Since the side lengths are not given, we can write -
EF/HI = K
HI = EF/K
Therefore, since the triangles ΔEFG is similar to ΔHIJ, the side HI is equivalent to HI = EF/K.
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when a single card is drawn from a standard 52-card deck, what is the probability that it will be a king or a diamond?
The probability that it will be a king or a diamond is 4/13
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here, we have
There are 52 cards, of which 4 are kings.
There are 52 cards, of which 13 are diamonds.
But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.
So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.
There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.
Hence, the probability that it will be a king or a diamond is 4/13.
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Rent-An-Suv charges an $80 fee to rent a truck and $12 per mile. Another
rental company charges a $150 fee to rent a truck and $8.50 per mile. The
two rental companies will cost the same amount at how many miles?
Answer:
The two rental companies will cost the same amount at 20 miles.------------------------------------
Let the number of miles be x.
Then we have the following equation:
80 + 12x = 150 + 8.5x, Here the LSH is representing total for one company and the RHS - for the second company.Solve it for x:
12x - 8.5x = 150 - 803.5x = 70x = 70/3.5x = 20Bilquis owns a food truck that sells tacos and burritos. She sells each taco for $4 and each burrito for $6.25. Bilquis must sell a minimum of $630 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold is 4t + 6.25b ≥ 630.
What inequality that could represent the possible values for the number of tacos sold?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold will be:
4(t) + 6.25(b) ≥ 630.
4t + 6.25b ≥ 630.
Therefore, the inequality is 4t + 6.25b ≥ 630..
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when multiplied it equals -32 but when added it equals -4
Answer: -8 and 4 or 16 and 2
Step-by-step explanation:
A pair of integers that satisfies the given conditions is -8 and 4.
When multiplied, the product of -8 and 4 is -32. When added, the sum of -8 and 4 is -4. Therefore, -8 and 4 are a pair of integers that satisfies the given conditions.
To verify this solution, we can multiply -8 and 4 to get -32, and then add -8 and 4 to get -4. This confirms that -8 and 4 are a valid solution to the problem.
It is also possible to find other pairs of integers that satisfy the given conditions. For example, another pair of integers that satisfies the given conditions is -16 and 2. When multiplied, the product of -16 and 2 is -32. When added, the sum of -16 and 2 is -4. Therefore, -16 and 2 are another pair of integers that satisfies the given conditions.
Aaron deposits $20,000 in a bank account that earns 5.9%
compounded quarterly. The amount of money, A, in the
account can be determined by the formula
A = 20,000 (1 + 0.059) 41
where t is the number of years that the money is in the
bank. How much money does Aaron have after 10 years?
$17,972.10
0 $30,872.31
O $13,804.20
O $35,924.64
Answer:
Answer:A=20000(1+0.059)^10A=$35,480.49
Step-by-step explanation:
Find the value of sin U rounded to the nearest hundredth, if necessary.
26
24
W
10
The value of sin U of the right triangle is as follows:
sin U = 12 / 13
How to find the side or angle of a right triangle?A right angle triangle are triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the angles position. The sides of a right triangle are as follows:
opposite sideadjacent sidehypotenuse sideThe angles and side of a right triangle can be found using trigonometric ratios as follows:
sin U = opposite / hypotenuse
where
opposite side = 12
hypotenuse side = 13
Hence,
sin U = 12 / 13
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new legislation is passed requiring a riparian zone by the family's waterway. this will reduce the size of their field by 15% how much money will the family lose per year by having this riparian zone on their farm
The amount of money lost per year is 15x
Where 100x can be any amount
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Let the total amount of money earned in a year from the field = 100x
The new field area.
= 100% - 15%
= 85%
Now,
The amount of money earned in a year from the new field area.
= 85% of 100x
= 85x
Now,
The amount of money lost per year.
= 100x - 85x
= 15x
Thus,
If 15% of the field is reduce the amount of money lost per year is 15x
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Which equation represents a line passing through the point (8,33) with a slope of 3?
The slope intercept form of equation of required line is y = 3x + 9
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = 3
The line passes through (8, 33)
Equation of required line
y - 33 = 3(x - 8)
y - 33 = 3x - 24
y = 3x - 24 + 33
y = 3x + 9
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what is 75 divided by 688
Answer: 0.109011627907
Step-by-step explanation:75 divided by 688 =0.109011627907
two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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Yaritza runs a farm stand that sells peaches and grapes. Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75. Yaritza made $225 from selling a total of 75 pounds of peaches and grapes. Graphically solve a system of equations in order to determine the number of pounds of peaches sold, x, and the number of pounds of grapes sold, y.
The amounts of each substance are given as follows:
Peaches: 45 pounds. Grapes: 30 pounds.How to solve the system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of the equations that compose the system.
The variables that define the system in this problem are given as follows:
Variable x: number of pounds of peaches sold.Variable y: number of pounds of grapes sold.Yaritza sold a total of 75 pounds of peaches and grapes, hence:
x + y = 75.
Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75, and she made $225, hence:
2.5x + 3.75y = 225.
As given by the image at the end of the answer, the intersection of these two equations in the graph is given as follows:
(45, 30).
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vertex of g(x)=-2x^2 - 14x +12
The vertex of the function g(x)=-2x²- 14x +12 is (-7/2, 25/2).
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given function is g(x)=-2x²- 14x +12
We need to find the vertex of the function.
y=-2x²- 14x +12
To make it a perfect square we are adding and subtracting (7/2)²
y=-2x²- 14x +(7/2)²+12-49/4
y=-2(x+7/2)²+25/2
x+7/2=0
Subtract 7/2 on both sides
x=-7/2
and y=25/2
Hence, the vertex of the function g(x)=-2x²- 14x +12 is (-7/2, 25/2).
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if we take a sample of ice from 10 meters beneath the surface and find that it is 1,000 years old, where would we need to look for ice that is about 10,000 years old?
Answer: 100 meters
Step-by-step explanation:
10 meters = 1,000 years old
50 meters = 5,000 years old
and so 100 meters = 10,000 years old
hope this helps you!
when a fair die is tossed twice, what is the probability that the same number appears twice (round off to second decimal place)?
The probability that the same number appears twice is 0.16
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The fair die is thrown twice.
The total number of outcomes if a fair die is tossed twice is 36.
The favorable number of outcomes, which also contains six, is six.
Following is a calculation of the likelihood of the same number appearing twice.
Probability = (Number of possible outcomes)/(Total number of outcomes)
= 6/36
= 0.16
So, the probability is 0.16
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What is her monthly cost?
Answer: Juana's monthly cost is .05 per text. Tonya's is .5 per text. The correct answer to your question is Tonya pays $20 for 150 messages because that is not true
Step-by-step explanation:
bolivian coffee sells for $4.59 per pound, and colombian coffee sells for $5.95 per pound. how many pounds of each coffee should be mixed to produce 4000 pounds of mixture that will sell for $5.10 per pound?: * a) bolivian: 2500 pounds; columbian: 1500 pounds b) bolivian: 2000 pounds; columbian: 2000 pounds c) bolivian: 2250 pounds; columbian: 1750 pounds d) bolivian: 1500 pounds; columbian: 2500 pounds e) bolivian: 1000 pounds; columbian: 3000 pounds
The required pounds of Bolivian coffee and Colombian coffee are 2500 and 1500 respectively.
How we use the linear equation of two variable to solve this problem?
A equation is supposed to be linear equation in two factors in the event that it is written as ax + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are direct conditions in two factors.
According to question:Let x be the pound of Bolivian coffee and y is that of Colombian coffee.
Bolivian coffee sells for $4.59 per pound, and Colombian coffee sells for $5.95 per pound and whole mixture sells for $5.10.
So, 4.59x + 5.95y = 5.10(4000)
4.59x + 5.95y = 20400--------------------(1)
and x + y = 4000-----------------------------(2)
On solving above two equation, we get
x = 2500 pounds and y = 1500 pounds
Thus, required pounds of two coffees are 2500 and 1500.
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An airplane descends at a rate of 25 feet per minute. What is the airplane's change in
altitude after 10 minutes? Interpret the product.
Answer:
-250 feet
Step-by-step explanation:
-25x10=-250