Answer:
-1,-2,0
Step-by-step explanation:
n(2-3)
1st term=n(2-3)
substitute value
1(2-3)=-1
2nd term=2(2-3)=-2
3rd term=3(3-3)=0
What is Prince William's full name?
Answer:
Depends on the gravitational force. On Earth, one pound equals 4.41N.
Step-by-step explanation:
The formula for Newton's Second Law of Motion is F=ma, which is Force = mass × acceleration.
The SI unit of mass is the kilogram (kg), so we'll have to convert one pound to kilograms. For practical purposes, one pound equals 0.45kg.
The gravitational force of the Earth is 9.8m/s^2. It is worth noting that each planetary body has its own gravitational force in respect to its mass.
Force = mass × acceleration = 0.45kg × 9.8m/s^2 = 4.41N
This number is only applicable on Earth, and may and will change on a planetary body with a mass different from Earth's.
Solve the following inequalities: (i) 5(11 − ) < + 49
The answer to the inequality is -55 < 49. That is -55 is less than 49.
What is inequality?
This refers to the relationship between two values that are not equal. It can be represented with the following symbols; < less than,> greater than, ≥ greater than or equal to,≤ less than or equal to, and ≠ not equal to.
The given equation States that;
5(11 − ) < + 49
5*11- < + 49
-55 < +49
Therefore, -55 is less than 49.
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(-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)
Solution to the fraction (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9) = -38
How to solve fraction?Fractions are expressed in mathematics as a number value that defines a part of a whole or group of objects
To simplify the fraction into a simple form the following steps are followed;
Evaluate (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)
(-7 + 3) x 9 + ⅖ x (-1.1 - 3.9)
Add the numbers
(-4) x 9 + ⅖ x (-1.1 - 3.9)
Evaluate the exponent
(-4) x 9 + ⅖ x (-5)
Multiply the number
-36 + ⅖ x (-5)
-36 -10/5
Subtract the number from each other
-36 -10/5
=-36-2
Answer = -38
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Which points are on the axes 5 units from the origin
Answer:
E and X
Step-by-step explanation:
look for the 6 then behind it
Answer:
X and E
Step-by-step explanation:
"axes" is the plural of axis. The x-axis is the flat line marked with numbers and arrows at the ends. Its labelled x on the right side.
The y-axis is the up-and-down line marked with numbers and arrows at the ends, labelled y at the top.
The origin is where the two axes cross.
Points J, E, X and P are all on the axes. But X and E are 5 units from the origin (where the lines cross) J and P are 9 units from the origin.
2, 6 and 10 were labelled on the axes, but each tick mark is an evenly spaced amount. So the 5 was unlabelled, but it is understood to be 5. See image.
which statement explains why ABC is congruent to A’B’C’?
The distance of all the side of ΔABC and ΔA'B'C' are equal which makes them congruent triangles.
What is congruent triangles?
When all 3 corresponding sides and every one 3 corresponding angles area unit equal in size, 2 triangles area unit aforementioned to be congruent.
Main Body:
First let us find the co-ordinates of both the triangles.
A= (3,5)
B = (-2, 3)
C= (-4,-1)
A' =(10,-5)
B'= (5, -3)
C' =(3,1)
Distance between two points = d=√((x₂ – x₁)² + (y₂ – y₁)²).
In ΔABC
Distance of side AB = √((3 –(-2) )² + (5 –3 )²)
= √5² +2²
= √29
Distance of side BC = √((-2-(-4) )²+ (3 -(-1 )²)
= √20
Distance of side CA = √((3-(-4) )² + (5-(-1) )²)
= √7² + 6²
= √85
Distance of side A'B' = √((10 -5)² + (-5-(-3))²
= √(5² +2²)
= √29
Distance of side B'C' = √ ((5-3)² + (-3 -1)² )
= √ (2)² +4²
= √20
Distance of side C'A' = √((10-3)² + ( -5-1)²)\
= √(7)² + 6²
= √85
This shows each side of ΔABC is equal to side of ΔA'B'C'.
hence the triangles are congruent.
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HELP PLEASE QUICKLY!!!!
The expression that shows the result of applying the distributive property is 21y - 7/11 (option D).
What is the expression?The distributive property states that an expression that has this form a(b + c) can be solved as a x (b + c) which becomes ab + ac.
Thus, to solve an expression using the distributive property, multiply the term in the brackets by the term outside the brackets. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is x.
7(3y - 1/11)
= 7 x (3y - 1/11)
= 21y - 7/11
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Emmett prepared 10 kilograms of dough after working 2 hours. How much dough did Emmett prepare if he worked for 4 hours? Assume the relationship is directly proportional.
The kilograms of dough that Emmett prepare if he worked for 4 hours is 20 kilograms.
What is a proportional relationship?A proportional relationship simply means the relationship that has an equivalent ratio as well as a constant.
In this case, Emmett prepared 10 kilograms of dough after working 2 hours. The kilograms per hour will be:
= 10/2
= 5 kilograms per hour
Therefore, in 4 hours, the kilograms will be:
= Number of hours × 5 kilograms
= 4 × 5
= 20 kilograms
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Please Help
(f-g)(x)if f(x)=/16x4 and g(x)=3x2-3x-5
The value of the function (f - g)(x) is x² + 3x + 5
How to solve functions?A function is defined as a relation between a set of inputs having one output each.
In a simpler terms, a function relates input and output.
Therefore, let's solve the function (f - g)(x)
f(x) = √16x⁴
g(x) = 3x² - 3x - 5
Therefore,
(f - g)(x) = f(x) - g(x)
(f - g)(x) = √16x⁴ - (3x² - 3x - 5)
(f - g)(x) = √16x⁴ - 3x² + 3x + 5
(f - g)(x) = 4x² - 3x² + 3x + 5
Therefore,
(f - g)(x) = x² + 3x + 5
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Sophie determine that the function describing the cost of dinner is linear if you order X eggrolls your dinner will cost 1.50x + $10 what is the per egg roll fee?
Sophie determine that the function describing the cost of dinner is linear if you order X eggrolls your dinner will cost 1.50x + $10 what is the per egg roll fee?
1.50x + $10
per egg roll fee is $1.50
Define Variable
Solve the Problem
Write the inequality
Do you think mark will be able to accomplish his goal
The inequality will be represented by p ≥ 33 for at least 15 points.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mark must score at least 11 points to have an average of 10 points per game.
The average of a set of data is its sum, divided by the number of data points in the set. If p is the number of points Mark scores in his next game, and he wants his average at least 15, then the relation is ...
(8+14+10+20+5++p)/6 ≥ 15
57 +p ≥ 90 . . . . . . . . . multiply by 6 and simplify
p ≥ 33
Mark must score at least 33 points in the next game to average at least 15 points per game.
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already answered 1 and 2. i think 3 is "definition of midpoint". is this correct? what are the other two? thank you
Sort the order of the electron holding capacity of the energy levels starting from the nucleus.
Below is a sequence of events. Place them in the order they should occur, number 1 being the first item. Select the step number from the drop down next to each item.
Items to order:
1.
Can hold a maximum of 18 electrons.
2.
Can hold a maximum of eight electrons.
3.
Can hold a maximum of 32 electrons.
4.
Can hold a maximum of two electrons.
The order of the energy levels starting from the highest is:
3. Can hold a maximum of 32 electrons
1. Can hold a maximum of 18 electrons.
2. Can hold a maximum of eight electrons.
4. Can hold a maximum of two electrons.
Energy levels and electron holding capacityWhen a shell gets bigger, it can retain more electrons, and has greater electron energies the further it is from the nucleus.
Two electrons can fit in the first shell, which is closest to the nucleus. Eight electrons can fit in the second shell. 18 electrons can fit in the third shell then 32 electrons can fit inside of the last shell.
The shell that can contain 32 electrons has the highest energy level
Following this relationship, it shows that the arrangement is done using the number of electrons to arrive at 3, 1, 2,and 4
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15. Given the following measurements in
parallelogram ABCD, find the PERIMETER of
CED
AC 34 in. AB = 26 in. BD = 28 in.
P =
20 points for whoever answers
The Perimeter of CED AC is 34 in. AB is 26 in. BD is 28 in. P is 57 in.
Explain about the parallelogram?A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.
Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.
Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle. Rhombus: An equal-length parallelogram with four sides.
The diagonals of a parallelogram bisect each other AC = 2 CE
Substitute AC= 34 into AC = 2 CE 34 = 2CE
Calculate 34 = 2 CE CE = 17
The diagonals of a parallelogram bisect each other BD = 2DE
Substitute BD= 28 into BD = 2DE 28 = 2DE
Calculate 28 = 2 DE DE = 14
Opposite sides of parallelogram are congruent AB = CD
Substitute AB = 26 into AB = CD CD = 26
Perimeter of a triangle PΔCDE = CE + CD + DE
Substitute CE = 17 DE = 14 CD = 26 PΔCDE = CE + CD + DE
PΔCDE = 17+ 26 + 14
PΔCDE = 57
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Please answer the question in the attached photo below.
The distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
The points are (3, π/6) and (2, π/3)
The polar coordinate system is the system that represent a point by a distance from a fixed reference point and angles from a reference direction
The distance between the two points
d = [tex]\sqrt{r_1^2+r_2^2-2r_1r_2cos(theta_1-theta_2)}[/tex]
(3, π/6) is the coordinates of first point
(2, π/3) is the coordinates of second point
Substitute the values in the equation
d = [tex]\sqrt{3^2+2^2-2(3)(2)cos(\pi/6 - \pi /3)}[/tex]
d = [tex]\sqrt{9+4-12(\frac{\sqrt{3} }{2} )}[/tex]
d = [tex]\sqrt{13-6\sqrt{3} }[/tex]
d = 1.614 units
Hence, the distance between the two points (3, π/6) and (2, π/3) in polar coordinates is 1.614 units
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5. During the 2016 presidential election, 58.1% of eligible voters participated. In a recent poll of 1048 randomly selected
eligible voters, 586 responded that they intend to vote.
(a) Test at the 5% significance level if the percent of eligible voters that intend to participate is different from the 2016
participation rate.
(b) Explain a Type II error in the context of the data.
Using the z-distribution to test the hypothesis, it is found that:
a) The conclusion is that there is not enough evidence to conclude that the percentage has changed from 2016.
b) A Type II error would mean finding that there is not enough evidence that the percentage is significantly below 58.1% when in fact it is.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is the same as in 2016, that is:
[tex]H_0: p = 0.581[/tex]
At the alternative hypothesis, it is tested if the proportion is different, hence:
[tex]H_1: p \neq 0.581[/tex]
A Type II error is the non-rejection of a false null hypothesis, that is, finding that there is not enough evidence that the percentage is significantly below 58.1% when in fact it is.
What is the test statistic?The equation calculating the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which the variables are listed as follows:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the value for these variables is given as follows:
[tex]\overline{p} = \frac{586}{1048} = 0.559, n = 1048, p = 0.581[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.559 - 0.581}{\sqrt{\frac{0.581(0.419)}{1048}}}[/tex]
z = -1.44.
The critical value for a two-tailed test is with a significance level of 0.05 is:
|z| = 1.96.
The absolute value of the test statistic is of |z| = 1.44 < 1.96, meaning that there is not enough evidence to conclude that the percentage has changed from 2016.
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A math class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.
The probability that the selections are both boys is 7/10
How to determine the probability that the selections are both boys?The given parameters in the question are
Seventh grade
Boys = 7
Girls = 3
Eight grade
Boys = 4
Girls = 4
The probability of selecting a boy is calculated as
P(Boy) = Number of boys/Number of students
So, we have
Seventh grade
Boys = 7
Girls = 3
P(boy) = 7/10
Eight grade
Boys = 4
Girls = 4
P(boy) = 4/8
The probability that the selections are both boys is
P = P(boy) * P(boy)
So, we have
P = 7/10 * 4/8
Evaluate
P = 7/20
Hence, the probability is 7/20
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here are the first 5 terms of an arithmetic sequence, 2,6,10,14,18... is 86 a term in this sequence, you must give a reason for your answer
Answer: Yes
Step-by-step explanation:
Because if you keep going it will reach 86, since it's added by 4, so 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86.
Let ()=94+2+2. Compute (5)() .
Based on the given equation and the given value of (), the value of 5() from the equation is 490
How to solve equation?If
() = 94 + 2 + 2
The equation can be solved by substituting the value of () into 5()
Substituting is the method of inserting the known value of a variable into an equation to solve for the value of the equation.
Then,
Substitute the value of () into (5)()(5)()
= 5(94 + 2 + 2)
= 5(98)
= 490
So therefore, the value of 5() is given by 490.
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adult tickets
A total of 390 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times ti
number of adult tickets sold. How many adult tickets were sold?
The number of adult tickets were sold is 130 tickets.
Given,
In the question:
Total tickets were sold for the school play is 390 tickets.
The number of student tickets sold was two times number of adult tickets sold.
To find the how many adult tickets were sold?
Now, According to the question:
Based on the given conditions:
Let the number of adult tickets be x.
Formulate the condition:
x × (1 + 2) = 390
x × 3 = 390
Simplify
x = 390/3
x = 130
Hence, The number of adult tickets were sold is 130 tickets.
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A footballb team lost the same number of yards on each of 3 consecutive plays.what is the total change in yards from where the team started? Someone pls help I dont understand.
The total change in yards where the team started is 3x
How to determine the total change in yards?The given parameters in the question are:
Yards per play = unknown
Number of plays = 3 consecutive plays
Represent the yards per play with x
So, we have
Yards per play = x
The total change in yards is the amount of yard per play multiplied by the number of plays
This is represented as
Total change = Yards per play * Number of plays
Substitute the known values in the above equation So, we have the following equation
Total change = x * 3
Evaluate
Total change = 3x
Hence, the total change is 36 yards
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matrix
urgent please fast
Answer:
-8, -5
Step-by-step explanation:
You want the second column of matrix B given matrices A and AB.
Matrix BMatrix B can be found by left-multiplying AB by A^-1, as shown in the attachment.
The second column of matrix B is ...
[tex]\left[\begin{array}{c}-8\\-5\end{array}\right][/tex]
Consider the following quadratic equation:
49x2=64
Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
⇒ let us first write the given equation in the form
[tex]ax^{2} +bx+c=0[/tex]
⇒[tex]49x^{2} -64=0[/tex]
⇒ Note in this case bx=0
Let us factorize the equation...49 is a square number and 64 is also a square number ..This equation is a difference of two squares which can be written as:
[tex](7x-8)(7x+8)=0[/tex]
⇒The answer is (7x-8)(7x+8)=0
-6y-18
factored expression
What is the equation of the line that passes through the point (4, 6) and has a slope
of o?
x+13
2x +1
x-8
Find x
X = 43.5 .............
4. Two card are down Randomly from well suffled deck of card without Replacement Find the probability by of getting both Face card at two succession tree diagram.
Answer:
[tex]\frac{11}{221}\approx{0.0498}\approx{4.98\%}[/tex]
Step-by-step explanation:
Two cards are drawn randomly from a well-shuffled deck of cards without replacement. Find the probability of getting both face cards in succession.
In a deck of 52 cards, there are three face cards (J, Q, and K) in each of four suits (clubs, diamonds, hearts, and spades). That means there are 12 face cards in total (J♣, Q♣, K♣, J♦, Q♦, K♦, J♥, Q♥, K♥, J♠, Q♠, K♠).
The probability of drawing a face card the first time, then, is 12 out of 52.
There is now one less face card in the deck, as well as one less card in the deck. Therefore, the probability of drawing a face card a second time is 11 out of 51.
The probability, then, of drawing two face cards in succession is:
[tex]\frac{12}{52}\times{\frac{11}{51}}=\frac{132}{2652}=\frac{11}{221}\approx{0.0498}\approx{4.98\%}[/tex]
Jada claims that B'C'D' is a dilation of BCD using A as the center of dilation.
What are someways you can convince Jada that her claim is not true?
Dilation entails altering a figure's size.
Because the is larger than, Isaiah's assertion is untrue.
What is dilation?A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor and a central point. Depending on the value of k, the dilatation is either an enlargement or a reduction.The dilatation is an expansion if | k | > 1The dilation is a decrease if | k | 1.The new image's size in relation to the old image's size is determined by the scale factor's absolute value. The original image and the new image are on the same side of the center when k is positive. They are on opposing sides of the center when k is negative. A dilatation always has its own picture at its center.Although dilation is not a hard transformation, the angles of the figures it dilates remain unchanged.
The aforementioned claim suggests that,
The dimensions of and should be equal.
However, it is evident that;
are not equivalent.
In reality
greater than
Therefore, Isaiah's assertion is false.
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The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
A rectangular box is 12 in. x 14 in. x 18 in. What is the surface area of the largest size sphere that could fit in this box? Leave your answer in
terms of pi.
The surface area of the largest sphere that could fit into the rectangular box of dimensions 12 in x 14 in x 18 in is 324π inches²
The surface area of sphere = 324π inches²
What is a Sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the surface area of the Sphere be = S
Let the dimensions of the rectangular box be L x W x H
12 inches x 14 inches x 18 inches
Now , for the surface area of the sphere to have the largest surface area , the radius should be maximum
From the rectangular box , we can see that the height of the rectangle is best suited as the diameter of the sphere
So , Height of the Box = Diameter of the Sphere
And , Radius of the sphere = Height of the Box / 2
= 18 / 2
Radius of the sphere = 9 inches
Now ,
Surface Area of a Sphere = 4πr²
r = 9 inches
Substituting the values in the equation , we get
Surface Area of a Sphere S = 4 x π x ( 9 )²
= 4 x π x 81
= 324π inches²
Therefore , the value of S is 324π inches²
Hence , The surface area of sphere = 324π inches²
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A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, what was the change in the altitude of the missile?
The required change in height of the missile is 16100 feet.
Given that,
A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, the change in the altitude of the missile is to be determined.
Change in defined as when the object is in one state but after a certain period of time, the state of the object changes is called change of the state.
here,
The height attained by the missile above sea level is 15900 feet.
The height attained by the missile below the seal level is 200 feet.
Change in height = 15900- (-200) = 15900 + 200 = 16100.
Thus, the required a change in height of the missile is 16100 feet.
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