Using the arrangements formula, it is found that there are 240 ways for the students to sit.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex].
In this problem:
The 2 students can sit in 2! ways, in 5 positions(1 and 2, 2 and 3, 3 and 4, 4 and 5 or 5 and 6).The remaining 4 students can sit in 4! ways.Hence:
T = 5 x 2! x 4! = 240.
There are 240 ways for the students to sit.
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Solve for x. Round to the nearest tenth, if necessary.
X=???
Answer:
160
Step-by-step explanation:
[tex]the \: value \: in \: angle \: e = 180 - (90 + 60) \\ = 180 - 150 = 30degrees \: \\ using \: sinerule \: to \: find \: x \\ \frac{sin(90)}{x} = \frac{sin(30)}{80} \\ making \: x \: subject \: \\ x = \frac{sin90 \times 80}{sin30} \\ x = \frac{1 \times 80}{0.5} \\ x = \frac{80}{0.5} \\ x = 160[/tex]
Answer: x=160
Step-by-step explanation:
Identify the a, b, and c-values for this equation:
y=-2x²+x-5
–
1. a= 2, b= 1, c= -5
2. a= -2, b=1, C = -5
3. a= -2, b = 0, c= -5
3. a= -2, b=1, c= 5
Answer:
option 2
Step-by-step explanation:
the standard form of a quadratic is
y = ax² + bx + c ( a ≠ 0 )
y = - 2x² + x - 5 ← is in standard form
with a = - 2, b = 1, c = - 5
Which statements are true? check all that apply. the data is best represented by an exponential model. the data is best represented by a quadratic model. if the price is $5 per unit, the expected profit is approximately $4,686. if the price is $80 per unit, the expected profit is negative. as the price per unit increases, the profit increases indefinitely.
The statements true are B)The data is best represented by a quadratic model. and C) If the price is $5 per unit, the expected profit is approximately $4,686.
We have the Information regarding the data is given below
What is the meaning of expected profit?Expected profit is the probability of receiving a certain profit times the profit, and the expected cost is the probability that a certain cost will be incurred times the cost.
The data should be best presented by the quadractic model.
In the case when the price should be $5 per unit so the profit should be $4,686.
Therefore,option B and option C these two options are correct.
Theefore the true statements are,The data is best represented by a quadratic model. and If the price is $5 per unit, the expected profit is approximately $4,686.
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Answer:
b,c
Step-by-step explanation:
trust
While introducing two-digit addition to a second-grade class, the teacher first models adding a problem with Unifix cubes to demonstrate the relationship between tens and ones. The next day, the teacher models adding a problem with base ten blocks and has the students draw and write the problem in their math notebooks. On day three, the teacher moves to a more abstract approach to adding two-digit numbers. What would be the next step for the teacher in this lesson series?
The next step for the teacher in this lesson series is to give them questions on addition to show the knowledge regarding the addition.
How to illustrate the addition?From the information, the teacher is introducing two-digit addition to a second-grade class.
In this case, the teacher first models adding a problem with unifix cubes to demonstrate the relationship between tens and ones and also models adding a problem with base ten blocks and has the students draw and write the problem in their math notebooks.
Therefore, it can be deduced that the teacher has taught them the necessary things to know regarding the topic. Hence, it's important to give them questions on addition to show the knowledge regarding the topic.
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help me pleaseeeeeeeeee
How many lines of symmetry does this triangle have? 10 ОА. о OB. 1 O c. 2 OD. 3 O E 4
Answer: D
Step-by-step explanation: to know symmetry you must draw line from vertices of the figure ad the triangle has 3 vertices so you will draw 3 lines
On Monday night, you have 2 hours of homework. On Tuesday night, you have 3
hours of homework! What is the percent of change in your homework amount
between Monday and Tuesday?
Answer:
New value - Old value / Old value (I memorize it as NOO)
3-2/2
1/2 convert to a percentage = 50 percent
The figure below is a rectangle with the dimensions given. If the perimeter of the rectangle is 48 cm, what are the
dimensions of the rectangle?
Х
3x
Answer:
6 cm and 18 cm.
Step-by-step explanation:
We are given that:
Dimensions of rectangle: x and 3xPerimeter of rectangle: 48 cmThe perimeter of any rectangle is:
L + W + L + WTo determine the dimensions of the rectangle, we need to determine the value of "x". The word "dimensions" are the length and the width of the rectangle. Since the question has not stated the length and width, we can consider the length as x and the width as 3x.
⇒ (x) + (3x) + (x) + (3x)It is also given that the perimeter of the rectangle is 48 cm. Thus, the formula with the length and the width substituted is equivalent to 48 cm.
⇒ (x) + (3x) + (x) + (3x) = 48 cmIt is required for the expression on the left hand side to be simplified. This can be done by combining like terms.
⇒ x(1 + 3 + 1 + 3) = 48 cm⇒ x(8) = 48 cmThen, we can divide 8 both sides to isolate the coefficient from "x". Once the coefficient of "x" is isolated, we will obtain the value of "x".
⇒ x(8)/8 = 48/8⇒ x = 6Finally, substitute the value of "x" into the length and the width. We considered the length to be "x" and the width to be "3x". Therefore,
⇒ Length = x cm = 6 cm⇒ Width = 3x cm = 3(6) cm = 18 cmThus, the dimensions of the rectangle are 6 cm and 18 cm.
Now
2(L+B)=482(x+3x)=482(4x)=488x=48x=6B=6
L=3(6)=18
Which value of b will cause the quadratic equation x2 bx 5 = 0 to have two real number solutions?
A value in the interval (-∞,-2√5] ∪[2√5,∞) will give the two real number solutions.
Given quadratic equation is:
[tex]x^{2} +bx+5=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0.
To have two real number solutions the discriminant of a quadratic equation should be greater than or equal to zero.
[tex]b^{2} -4(1)(5)\geq 0[/tex]
[tex]b^{2} -20\geq 0[/tex]
[tex]b^{2} -(2\sqrt{5} )^2\geq 0[/tex]
[tex](b+2\sqrt{5} )(b-2\sqrt{5} )\geq 0[/tex]
[tex]b\in(-\infty,-2\sqrt{5} ]\cup [2\sqrt{5} ,\infty)[/tex]
Hence, a value in the interval (-∞,-2√5] ∪[2√5,∞) will give the two real number solutions.
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I need help NOW !!!!!!!!
Answer:
[tex]x=1~ \text{and}~ x = -6~ \text{but}~ -6 ~\text{is extraneous.}[/tex]
Step by step explanation:
[tex]2-x = 3-\sqrt{7-3x}\\\\\implies \sqrt{7-3x} = 3-2+x\\\\\implies \sqrt{7-3x} = 1+x\\\\\implies 7-3x = (1+x)^2\\\\\implies 7-3x=1+2x+x^2\\\\\implies x^2+3x+2x+1-7=0\\\\\implies x^2+5x -6 =0\\\\\implies x^2+ 6x-x -6=0\\\\\implies x(x+6)-(x+6)=0\\\\\implies (x-1)(x+6)=0\\\\\implies x =1~~, x = -6[/tex]
[tex]x=-6~ \text{Doesn't satisfy the original equation, so it is an extraneous solution.}[/tex]
Does anybody know the answer to this?
If the radius of a circle is 2 inches, what is the area of the circle? Use 3.14 for pi
Answer:
12.56 in squared
Step-by-step explanation:
the formula for area is radius x radius x pi
So you do 2x2x3.14
(I would just do 4x3.14)
And then you get 12.56
52.5% rounded to 1 decimal point
Luke is cutting a board to make a trapezoid for a project. What is the angle measure of the piece left over after Cut A?
The angle measure of the piece is the amount of space left between the vertices
The angle of the piece left over after cut A is 35 degrees
How to determine the angle measure of cut A?In cut A, we have the following expression
x + 55 = 90
Subtract 55 from both sides to determine the measure of angle left
x = 35
Hence, the angle of the piece left over after cut A is 35 degrees
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Please help I will give brainliest.
Answer:
Options: 1, 4 & 6
Step-by-step explanation:
Yes:
1. [tex]-1(x-1)^{2} +9=-1(x^{2} -2x+1)+9=-x^{2} +2x-1+9=-x^{2} +2x+8[/tex]
4. [tex]-x^{2} +2x+8[/tex]
6. [tex](x+2)(4-x)=2x-x^{2} +8=-x^{2} +2x+8[/tex]
No:
2. [tex]-(x-9)^{2} +1=-(x^{2} -18x+81)+1=-x^{2} +18x+81+1=-x^{2} +18x+82[/tex]
3. [tex]x^{2} +2x-8[/tex]
5. [tex](x+2)(x-4)=x^{2} -2x-8[/tex]
Hope this helps
Explain for me functions in mathematics
Step-by-step explanation:
You can say that a function take input and outputs something back. for example, let's y = X + 3. You may think this is a equation.Yeah it is but it is also a function. The original function notation is for example f(X) = X+3.But we set y = f(X) so it turn out to be y=X+3.Basically these two have the same meaning.X is a input in the function above.If you set X= 5,the input is now 5 and you will get a kinda output of 5+3 =8.so y= 8 or f(5) = 8.That's all.You can check out more on the internet.
The probability of winning a prize in the drawing is one in a million. What is the probability if not winning a prize in the drawing?
Answer: Its 999,999
Step-by-step explanation:
You just take your chance of losing and minus your chance of winning to it.
Y>-1/2x+2
Y<1/3x-1
Which graph represents the system of inequalities?
Answer:
the correct answer is option B
Answer: D
Step-by-step explanation:
Can be graphed like a regular equation. Then use the </> symbols to shade.
> above the line
< below the line
Tip: Use Desmos graphing calculator if you can.
Help soon, Zearn is bad at explaining lol
hey...
hope it really helps...!!!
What is the average high temperature forecast for the five days 55, 57, 60,45,50
Answer:
53.4
Step-by-step explanation:
We first do
55 + 57 + 60 + 45 + 50
55 +57 + 45 + 110
57 + 100 + 110
57 + 210
267
Now we do 267 divided by 5.
This is 53.4
PLEASEEE HELP!!! 20 POINTSS
Answer:
Option c
Step-by-step explanation:
-7 + (19 + 5) = (-7 + 19) + 5
LHS = -7 + (19+5)
= -7 + 24
= 17
RHS = (-7 + 19) + 5
= 12 + 5
= 17
LHS = RHS
associative property of addition: When three or more numbers are added, the result remains same regardless how the numbers are grouped
Answer:
C
Step-by-step explanation: I think it is right but I don't know I am sorry if I get it wrong!
The box-and-whisker plot below shows the age distribution of people at a family reunion. a box-and-whisker plot is shown. the number line goes from 8 to 72 in increments of 8. the whiskers range from 8 to 71, and the box ranges from 23 to 47. a line divides the box at 38. the stem-and-leaf plot below shows the same data. a stem and leaf plot is shown. the stems from top to bottom are 0, 1, 2, 3, 4, 5, 6, 7. the first column of leaves is 8, 0, 3, 1, 0, 0, 0. the second column of leaves is 9, 1, 3, 6, 1, 2, 1. the third column of leaves is blank, 4, 5, 6, 2, 3, blank. the fourth column of leaves is blank, 5, 6, 8, 4, 6, blank. the fifth column of leaves is blank, blank, 6, 9, 6, blank, blank. the sixth column of leaves is blank, blank, blank, 9, blank, blank, blank. the seventh column of leaves is blank, blank, blank, 9, blank, blank, blank. which of the following best explains why one graph appears skewed and one graph appears symmetrical? the scale of the box-and-whisker plot does not start at zero. the interval of the box-and-whisker plot is too large. the interval of the stem-and-leaf plot is not consistent. the scale of the stem-and-leaf plot is too small for the set of data.
One graph appears skewed, and one graph appears symmetrical because the interval 2 stem and leaf plots is not consistent, statement third is correct.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
The number line goes from 8 to 72 in incremental of 8, such as:
8, 16, 24, 32, 40, 48, 56, 64, 72
The whiskers range is from 8 to 71 and
Box ranges from 23 to 47.
The line divides the box at 38.
The mid-point of the line plot is at 40 and at first inspection, the stem and leaf plot appears to be accurate. In the stems, however, 5 is omitted entirely, giving the pattern a symmetrical rather than skewed appearance.
Thus, one graph appears skewed, and one graph appears symmetrical because the interval 2 stem and leaf plots is not consistent, statement third is correct.
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PLS HELP PLS HELP
If x = -4 and y = 3x – 1, then y
equals what number?
I NEED TO FINISH THIS <3
Answer:
y=-13
Step-by-step explanation:
if x=-4 and y=3x-1,
plug the value for x into the y= equation:
y=3(-4)-1
multiply through distributing 3
y=-12-1
y=-13
hope this helps <3
Find the distance between the two points. (3,4) ✓ [?] (-2,-1) Enter the number that goes beneath the radical symbol.
The distance between the points (3,4) and (-2,-1) is found being 5√2 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We've to find the distance between two points
(p,q) = (3,4)
and (x,y) = (-2, -1)
We get it as:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\D = \sqrt{(-2-3)^2 + (-1-4)^2} \\\\D = \sqrt{5^2 + 5^2} = 5\sqrt{2} \: \rm units[/tex]
Thus, the distance between the points (3,4) and (-2,-1) is found being 5√2 units.
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HELP! WILL GIVE BRAINLEST!
Answer:
option (a)
Step-by-step explanation:
0,pie is the answer
Please answer:
Evaluate.
Answer:
6
Step-by-step explanation:
Permutation formula:
nPr=(n!)/(n-r)!
applying the formula
3P3= (3!)/(3-3)!
3!/0!
6/1
6
To either side kneel two high-court functionaries, dressed very like the oba, but with plainer headdresses and fewer neck-rings. they wear belts hung with small crocodile heads, the emblem of those authorized to conduct business with europeans – and the heads and shoulders of two tiny europeans can be seen floating in the background. the europeans are portuguese, who from the 1470s were sailing down the west coast of africa in their galleons on their way to the indies, but who were also seriously interested in west african pepper, ivory and gold. –a history of the world in 100 objects, neil macgregor which details from the passage help readers visualize the plaque? check all that apply. "plainer headdresses and fewer neck-rings" "belts hung with small crocodile heads" "the heads and shoulders of two tiny europeans" "sailing down the west coast of africa" "west african pepper, ivory and gold"
Answer:
A - B - C
Step-by-step explanation:
edge
The subtleties which are obvious in both the selection and the picture are:
Ceremonial jewelleryGovernment leadersEuropean tradersWhat is the context of the Bennin plaque?Picture result for Benin plaque metal plaques helps metal plaques that were used to embellish the Oba's castle are among the most notable of the multitude of regal specialities of Benin.
Albeit habitually portrayed as Benin Bronzes most plaques are made of leaded metal in different organizations. It is broadly acknowledged that they date to the sixteenth seventeenth hundred of years.
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Which
group of numbers is listed from least to
greatest?
Answer:
option 4
using absolute value, the 2 line thing (||) the order would be 2,3,5,7,9 which is least to greatest
A credit card is like a loan.
Select the three statements that explain why.
Answer:
The top right is the only incorrect one
Step-by-step explanation:
When money comes directly out of your bank account that is considered debit, not credit.
Which shows one way to determine the factors of x3 4x2 5x 20 by grouping? x(x2 4) 5(x2 4) x2(x 4) 5(x 4) x2(x 5) 4(x 5) x(x2 5) 4x(x2 5)
The equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
How to find factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The polynomial equation given in the problem is,
[tex]x^3 +4x^2 +5x+ 20[/tex]
Take out the greatest common factor from the first two term which is x^2 and from the last two terms which is 5 as,
[tex]x^2(x +4)+5(x+ 4)\\[/tex]
Simplify it further,
[tex](x+4)(x^2+5)[/tex]
Thus, the equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).
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