Answers
Answer:
8
Step-by-step explanation:
The given ratios can be combined to a composite ratio using least common multiples.
Given ratiosWe can identify each of the entities with a 2-letter designation:
TT - Tumtum tree; TW - tulgey wood; BS - frumious Bandersnatch;
ST - slithy tove; BG - borogoves; MR - mome raths; JW - Jabberwocky;
JB - Jubjub birds.
Then the given ratios are ...
20 TT : 1 TW1 TW : 1 BS5 ST : 2 BG2 MR : 1 JW2 JB : 200 TT . . . . (reduces to 1 : 100)200 MR : 1 BG5 JB : 1 STComposite ratiosThe path from BS to JW is unique, so we can work our way there one ratio at a time. Having done this once, we can go back and do it again with the least possible multiplier.
Here, that turns out to be 125 Bandersnatches. We can combine these to the composite ratio ...
125 BS : 125 TW : 2500 TT : 25 JB : 5 ST : 2 BG : 400 MR : 200 JW
Then the ratio of Bandersnatches to Jabberwocks is 125 : 200 = 5 : 8.
If there are 5 frumious Bandersnatches, there should be 8 Jabberwocks.
__
Additional comment
We know 1 JW : 2 MR and 200 MR : 1 BG. In order to get a common value of 200 MR in these ratios, we need to multiply the first by 100:
100 JW : 200 MR : 1 BG
Next, we notice the other ratio involving BG is 2 BG : 5 ST, which means we need to multiply by 2 again:
200 JW : 400 MR : 2 BG : 5 ST
The number of JB is 5 times the number of ST, so this extends to ...
... 5 ST : 25 JB
The number of TT is 100 times the number of JB, so we have ...
... 5 ST : 25 JB : 2500 TT
Continuing in like fashion, we get the composite ratio shown above. We originally worked this starting from BS. Reducing the JB/TT ratio from 2/200 to 1/100 helped eliminate an extra factor of 2.
Step-by-step explanation:
it's not really a math problem per se, it is more like a regular riddle with numbers.
true, everything involving numbers is essentially math, but then what will you do in life with things like earning a salary, going shopping, checking a calendar and schedules for bus, train and flights or business meetings, sharing a pizza with friends, playing computer games, ...
life is for a big part numbers and therefore math.
so, don't be afraid, just use your brain and common sense !
let's think this through (just be strict, concentrated, and follow each line literally) :
5 fr. Band. means 5 tulgey woods.
which means 20×5 = 100 tumtum trees.
as there are 2 jubjub birds in 200 tumtum trees, that means that there is 1 jubjub bird in the given 100 tumtum trees.
as there are 5 jubjub birds in 1 slithy toves, but we have only 1 bird, that means we have only 1/5 slithy toves.
there are 5 slithy toves in 2 borogoves. that means 1 slithy toves in 2/5 borogoves. and 1/5 slithy toves in 2/5 / 5 = 2/25 borogoves.
there are 200 mome raths in each borogove. and we have 2/25 borogoves. that means we have
200 × 2/25 = 400/25 = 16 mome raths.
and there are 2 mome raths per jabberwocky. we have 16 raths. how many pairs of raths does that make ?
16/2 = 8 pairs of raths = jabberwocks.
so, there should be 8 jabberwocks.
you see ? that's all that was needed. this was like a labyrinth riddle, where you need to find the way from an inside starting point to the exit without crossing a line (or wall).
Related Questions
The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be true?
Answers
Condition (A) P(B/A) = y is true.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.To find the true condition:
If two events are independent, then:
Use formulas for conditional probabilities:
Pr(A/B) = Pr(A∩B) / Pr(B)Pr(B/A) = Pr(B∩A) / Pr(A)For independent events these formulas will be:
Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)Now in your case, Pr(A) = x and Pr(B) = y.
Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.yTherefore, condition (A) P(B/A) = y is true.
Know more about probability here:
https://brainly.com/question/25870256
#SPJ4
The complete question is given below:
The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?
a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y
e. P(A and B) = x/y
the mean change after 5 days is -0.01 inch what is the change on the fifth day? days: -0.05, 0.09, -0.04, and -0.08
Answers
Answer:
.06
Step-by-step explanation:
add all the 4 values listed, plus the .06
divide by 5
you get -.01
:)
what is the parent function of g(x) = 3cos (x + 180°) + 1
Answers
The parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
What are parent functions?Parent functions are the basic function that represents the entire family of that function family
How to determine the parent function?The function is given as;
g(x) = 3cos (x + 180°) + 1
As a general rule, the parent function of any function is the basic equation of the function family
The basic equation of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
Hence, the parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
Read more about parent function at
https://brainly.com/question/17079244
#SPJ1
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=4x2 2y2; 3x 3y=108
Answers
For given f(x, y) the extremum: (12, 24) which is the minimum.
For given question,
We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108
We use the constraint to build the constraint function,
g(x, y) = 3x + 3y
We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:
[tex]f_x=8x[/tex]
[tex]f_y=4y[/tex]
[tex]g_x=3[/tex]
[tex]g_y=3[/tex]
Setting up the Lagrange multiplier equations:
[tex]f_x=\lambda g_x[/tex]
⇒ 8x = 3λ .....................(1)
[tex]f_y=\lambda g_y[/tex]
⇒ 4y = 3λ ......................(2)
constraint: 3x + 3y = 108 .......................(3)
Taking (1) / (2), (assuming λ ≠ 0)
⇒ 8x/4y = 1
⇒ 2x = y
Substitute this value of y in equation (3),
⇒ 3x + 3y = 108
⇒ 3x + 3(2x) = 108
⇒ 3x + 6x = 108
⇒ 9x = 108
⇒ x = 12
⇒ y = 2 × 12
⇒ y = 24
So, the saddle point (critical point) is (12, 24)
Now we find the value of f(12, 24)
⇒ f(12, 24) = 4(12)² + 2(24)²
⇒ f(12, 24) = 576 + 1152
⇒ f(12, 24) = 1728 ................(1)
Consider point (18,18)
At this point the value of function f(x, y) is,
⇒ f(18, 18) = 4(18)² + 2(18)²
⇒ f(18, 18) = 1296 + 648
⇒ f(18, 18) = 1944 ..............(2)
From (1) and (2),
1728 < 1944
This means, given extremum (12, 24) is minimum.
Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.
Learn more about the extremum here:
https://brainly.com/question/17227640
#SPJ4
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
Which best describes the range of possible values for the third side of the triangle?
x < 12.5, x > 18.9
12.5 < x < 18.9
x < 6, x > 26
6 < x < 26
Answers
Answer:
12.5< × < 18.9
Step-by-step explanation:
because you would use the pythagoras theorem which a² + b² = c² in this case c is the third side the unknown so to work this out do square root of ( 10² + 16²) which is 100 + 256 = 356 and the square root of 356 is 18.86 which rounds to 18.9 so the second answer is correct :)
i hope this helps pls ask if you need any more help :)
What is the total number of common tangents that can be drawn to the circles
Answers
The total number of common tangents that can be drawn to the circles is 2.
What is a tangent?A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.
A tangent to a circle can be described as the straight line that touches the circle at only one point.
Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.
Read more on the tangent here:
https://brainly.com/question/12926708
#SPJ1
How many 5-letter words can be made using exactly 5 of the letters from
TEXAS and MEXICO? Letters may only be used as many times as they appear. (For
example, XETEX is allowed. However, MATEA is not allowed, since the A appears twice
in MATEA but only once in the given words.)
Answers
Step-by-step explanation:
for TEXAS using permutation formula
we have:5!/1!1!1!1!1!=5!=120
for MEXICO using permutation formula
we have:6!/1!1!1!1!1!1!=6!=720
This year consumers purchased 5,234,267,990 bottles of water. Last year
consumers purchased 1,000,900,999 bottles of water. Which is the best
estimate of the number of bottles sold this year and last year?
OA) 4,000,000,000
OB) 6,000,000,000
OC) 6,235,168,989
OD) 7,000,000,000
Answers
Answer: B
Step-by-step explanation:
First, find the sum of the bottles, which is 6,235,168,989 which is not an estimate.
Rounding it to the nearest billion, the answer is 6,000,000,000 or B)
y=alpha sinx +beta cosx is the solution of d^2y/dx^2+dy/dx=0 where (alpha and beta are constant)
Answers
The expression y = α · sin x + β · cos x is a solution of the ordinary differential equations if and only if (α, β) = (0, 0).
When a given equation is a solution of an ordinary differential equation
According to the statement, we must find in what conditions a given expression may be a solution of an ordinary differential equation. Then, first and second derivatives of the equation are:
y' = α · cos x - β · sin x (1)
y'' = - α · sin x - β · cos x (2)
Then, we substitute on the ordinary differential equation:
(- α · sin x - β · cos x) + (α · cos x - β · sin x) = 0
And by algebraic handling we simplify the resulting expression:
- (α + β) · sin x + (α - β) · cos x = 0
Where each coefficient represents a constant of a linear combination:
α + β = 0
α - β = 0
Then, the solution of the system of linear equations is (α, β) = (0, 0). The expression y = α · sin x + β · cos x is a solution of the ordinary differential equations if and only if (α, β) = (0, 0).
RemarkThe statement is incomplete and complete form cannot be found, then we decided to create a new statement:
Please prove that y = α · sin x + β · cos x is the solution of the differential equation d²y / dx² + dy /dx = 0 where the following condition is observed, if and only if α = β = 0.
To learn more on differential equations: https://brainly.com/question/14620493
#SPJ1
Algebra Find the value of each variable.
13.
X
Answers
One number is 4 more than another and their sum is 60.
If x = the larger number and y = the smaller number, then which of the following is the value of the smaller number?
28
26
32
Answers
The smaller number is 28.
Answer:
Solution Given:
let the smaller number be a.
and larger number be a+4.
By question
a+(a+4)=60
a+a+4=60
2a=60-4
2a=56
a=[tex] \frac{56}{2} [/tex]
a=28
Answer:
y = 28
Step-by-step explanation:
Given variables:
x = the larger numbery = the smaller numberCreate two equations with the given information.
Equation 1
If one number is 4 more than another, then:
⇒ x = y + 4
(Remembering that x is the larger number and y is the smaller number).
Equation 2
If their sum is 60, then:
⇒ x + y = 60
Substitute Equation 1 into Equation 2 and solve for y:
⇒ (y + 4) + y = 60
⇒ 2y + 4 = 60
⇒ 2y + 4 -4 = 60 - 4
⇒ 2y ÷ 2 = 56 ÷ 2
⇒ y = 28
Therefore, the value of the smaller number (y) is 28.
Learn more about systems of equations here:
https://brainly.com/question/27931586
https://brainly.com/question/27357423
In right triangle ABC, m angle C equals 90 degree. If sinB = 7/25 which function also equals 7/25
Answers
Hi :)
We'll use sohcahtoa to solve this problem
———————————[tex]\large\boxed{\boxed{\begin{tabular} {c|1} \sf{ Sohcahtoa} & \sf{Formulas} \\\cline{1-2} \\\ \sf{Soh} & \sf{Opp/hyp} \\\sf{Cah} & \sf{Adj/hyp} \\\sf{Toa} & \sf{Opp/adj} \end{tabular}}}}[/tex]
Thus
The function that equals [tex]\sf{\dfrac{7}{25}}[/tex] besides [tex]\sin B[/tex] is :
Option (A) | [tex]\underline{\cos A}[/tex]Option (B) | [tex]\sin A[/tex]Option (C) | [tex]\tan A[/tex]Option (D) | [tex]\cos B[/tex][tex]\tt{Learn\:More;Work\;Harder}[/tex]
:)
Determine what type of model best fits the given situation: the membership of the local pta increases by 3 members a day for each day during the month of september.
Answers
Type of model best fits the given situation linear. Since it has a constant of +3 everyday.
What is a linear equation in math?
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.linear type of model best fits the given situation.the membership of the local pta increases by 3 members a day for each day during the month of September.
Since it has a constant of +3 everyday.
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
1
2. Rotate Rectangle ABCD 90° counterclockwise.
Then, translate it along the vector (3,4).
A
D
B
C
-4 -2
4
2
АУ
O
-2.
-4
2
4
X
A'(
B'(
C'(
D'(
A"(
B"(
C"(
D"(
)
)
)
)
HELP ME PLS
Answers
Rotating 90 degrees counterclockwise: [tex](x,y) \longrightarrow (-y,x)[/tex]
[tex]A(-4,4) \longrightarrow A'(-4, -4)\\\\B(-3, 4) \longrightarrow B'(-4, -3)\\\\C(-3, 1) \longrightarrow C'(-1, -3)\\\\D(-4, 1) \longrightarrow D'(-1, -4)[/tex]
Translate along [tex]\langle 3, 4 \rangle[/tex]: [tex](x,y) \longrightarrow (x+3, y+4)[/tex]
[tex]A'(-4, -4) \longrightarrow A''(-1, 0)\\\\B'(-4, -3) \longrightarrow B''(-1, 1)\\\\C'(-1, -3) \longrightarrow C''(2, 1)\\\\D'(-1, -4) \longrightarrow D''(2, 0)[/tex]
pls help questions 1-2
Answers
1) a) The volume of the sphere is 100 cubic centimeters.
b) The volume of the cylinder is 200 cubic centimeters.
2) The volume of the cone is 175 cubic centimeters.
What is the volume of a submerged object?
Herein we have two case of submerging solids into recipients full of liquid, the volume of the objects is equal to the volume of the displaced liquid. Now we proceed to calculate the volume of each object:
Point 1 - Part A:
0.8 L - 0.5 L = 3 · x
0.3 = 3 · x
x = 0.1 L
x = 100 cm³
The volume of the sphere is 100 cubic centimeters.
Point 1 - Part B:
0.8 L - 0.5 L = x + y
0.3 = x + y
0.3 = 0.1 + y
y = 0.2 L
y = 200 cm³
The volume of the cylinder is 200 cubic centimeters.
Point 2:
350 mL = 2 · z
z = 175 mL
z = 175 cm³
The volume of the cone is 175 cubic centimeters.
To learn more on volumes: https://brainly.com/question/1578538
#SPJ1
11 = 5 - b in verbal expression form
Answers
Answer: eleven equals five minus b
Step-by-step explanation: 11 = eleven. = equals equal. 5 = five. - = minus. b = b
find the slope of (2,2), (-1,-2)
Answers
Answer:
4/3
Step-by-step explanation:
The slope is the change in y over the change in x.
Your y's from the point given is -2, and 2.
Your x's from the point given is -1, and 2. Since we want to know how much they have changed, we subtract these numbers to find the change.
Change in y's? -2 - 2 or -4
Change in x's -1 - 2 or -3
This gives me a slope of -4/-3 and a negative divided by a positive is a positive.
I could have found the change by going the opposite direction
Change in y's ? 2 - (-2) or 4
Change in x's? 2 - (-1) or 3
This gives me the same slope 4/3
Given the function f(x) = -5x²-x+ 20, find f(3).
O-28
O-13
O62
O64
Answers
Answer: [tex]\Large\boxed{First~Choice.~-28}[/tex]
Step-by-step explanation:
Given function expression
f(x) = -5x² - x + 20
Requirement of the question
Find the value of f(3)
Substitute the values into the function
f(x) = -5x² - x + 20
f(3) = -5(3)² - (3) + 20
Simplify the exponents
f(3) = -5(9) - 3 + 20
Simplify by multiplication
f(3) = -45 - 3 + 20
Simplify by subtraction and addition
f(3) = -48 + 20
[tex]\Large\boxed{f(3)=-28}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP IM STUCK
Answers
Answer:
Step-by-step explanation:
As per the same approach I answered in a similar problem:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate theRise/Run:
RISE = (-11 - 9) = -20
RUN = (3 - (-2)) = 5
Rise/Run, or slope, is = -20/5 or -4
I graphed this line and the two points (attached).
Answer:
-20/5 or -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
As per the same approach I answered in a similar problem:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate theRise/Run:
RISE = (-11 - 9) = -20
RUN = (3 - (-2)) = 5
Rise/Run, or slope, is = -20/5 or -4
In c = 2a 3b, the entry represented by c24 is . in d = 3a − 2b, the entry represented by d13 is .
Answers
The element value c₂₄ = -12 and d₁₃ = 14 if C = 2A + 3B and A and B are the matrix.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns.To find the element:
As we have given two matrices A and B:
C = 2A + 3Bc₂₄ = 2(3) + 3(-6)c₂₄ = -12d₁₃ = 3(0) - 2(-7)d₁₃ = 14Therefore, the element value c₂₄ = -12 and d₁₃ = 14 if C = 2A + 3B and A and B are the matrix.
Know more about matrix here:
https://brainly.com/question/24079385
#SPJ4
Which linear inequality will not have a shared solution set with the graphed linear inequality? y < five-thirdsx – 2 y < negative five-thirdsx 1 y > five-thirdsx 2 y > negative five-thirdsx 2
Answers
The inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.
Linear inequalities are inequalities that involves at least one linear algebraic expression, that is, a polynomial of degree 1.Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
y < five-thirds x – 2. The inequality will have a shared solution set with the graphed linear inequality. y < negative five-thirds x - 1. The inequality will have a shared solution set with the graphed linear inequality.y > five-thirds x + 2. The inequality will not have a shared solution set with the graphed linear inequality. y > negative five-thirds x + 2. The inequality will have a shared solution set with the graphed linear inequalityHence, the inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.
Learn more about linear inequality here
https://brainly.com/question/15780436
#SPJ1
Answer:
C
Step-by-step explanation:
answer is C
What is the measure of z?
X
4
y
Z
Z
9
= [?]√
Answers
Answer:
z = [tex]3\sqrt{13}[/tex]
Step-by-step explanation:
To find the measure of z we can use the Euclidian Theorem:
[tex]z^{2}[/tex] = 9(9+4) do the multiplication
[tex]z^{2}[/tex] = 117 find the root of both sides
z = [tex]3\sqrt{13}[/tex]
There are 8 players on a tennis team. The team is planning to play in a doubles tournament. How many different groups of players of 2 players can the coach make, if the position does not matter?
28
64
20,160
40,320
Answers
Using the arrangements formula, it is found that there are 20,160 different groups of players of 2 players that the coach can make.
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, all 8 players will play, hence considering the order, the number of ways is:
[tex]A_8 = 8! = 40320[/tex]
However, the position does not matter, as for example, João and Elisa would form the same pair as Elisa and João, hence the removing the order, the number of groups is:
40,320/2 = 20,160.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
#SPJ1
Answer:
The answer is 28!!!
Step-by-step explanation:
Use the combinations formula:
[tex]C = \frac{n!}{r!(n-r)!}[/tex]
n = 8
r = 2
[tex]C = \frac{8!}{2!~*~6! } = 28\\[/tex]
I got it right! Look at the pic for proof.
Hope this helps!! :)
ff is a trigonometric function of the form f(x)=a\sin(bx+c)+df(x)=asin(bx+c)+df, left parenthesis, x, right parenthesis, equals, a, sine, left parenthesis, b, x, plus, c, right parenthesis, plus, d.
Below is the graph f(x)f(x)f, left parenthesis, x, right parenthesis. The function intersects its midline at (3,-6.5)(3,−6.5)left parenthesis, 3, comma, minus, 6, point, 5, right parenthesis and has a maximum point at (4,-2)(4,−2)left parenthesis, 4, comma, minus, 2, right parenthesis.
Find a formula for f(x)f(x)f, left parenthesis, x, right parenthesis. Give an exact expression.
\qquad f(x)=f(x)=f, left parenthesis, x, right parenthesis, equals
\qquad
Answers
The trigonometric function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
How to derive a sinusoidal expression
In this problem we need to find a sinusoidal expression that models the curve seen in the picture. The most typical sinusoidal model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
a - Amplitudeb - Angular frequencyc - Angular phased - Vertical midpointNow we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The trigonometric function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: https://brainly.com/question/15706158
#SPJ1
please help meeeeee please please please
Answers
Answer:
quadratic: -3x²linear: 0x or "none"constant: 1Step-by-step explanation:
This is a question about naming parts of a polynomial. The attached image has more on the subject.
DegreeThe word "degree" refers to the number of times a variable is a factor in a term. When there is only one variable, the degree of the term is the exponent of the variable. A missing exponent is understood to be 1. A missing variable is understood to have a degree of 0.
When there are two or more variables, the degree of the term is the sum of their exponents.
In some cases, we're only interested in the degree associated with a particular variable. For example, 7x²y³ is a 5th-degree term that is 2nd degree in x and 3rd degree in y.
Quadratic termA "quadratic" term is one that has degree 2, or one in which the variable of interest has degree 2.
In the given function definition, the term -3x² is the quadratic term.
Linear termA "linear" term is one that has degree 1.
In the given function definition, there is no linear term.
If you must identify one, it would be 0x, a degree-1 term with a coefficient of 0.
Constant termA "constant" term is one that has no variables, or no variables of interest. It has degree zero.
For example, in the expression x² +2ax +a², when we are concerned with the variable x, the a² term is called the "constant" term because it does not contain the variable x. The same expression could be considered as a quadratic in 'a', in which case the x² term would be the "constant term."
In the given function definition, the term 1 is the constant term.
Drag the factors to the correct locations on the image.
Each factor can be used more than once, but not all factors will be used. What is the factored form of this expression? x3 - 6x2 - 9x + 54
Tiles go here
( )( )( )
Tile options:
x - 6
x - 9
x + 9
x - 3
x + 3
x + 6
Answers
Answer: x-6, x+3, x-3
Step-by-step explanation;
Split the equation into two.
x2(x-6)-9(x-6)
(x-6) is seen as one of the tiles. Now work on x2-9
x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).
The number of patients treated at Dr. Frank's dentist office each day was recorded for ten days: 13, 9, 7, 8, 2, 4, 22, 12, 5, 0. Using the given data, find the mean for this sample.
Answers
The mean of the sample from number of patients treated at Dr. Frank's dentist office each day for ten days is 8.2
MeanGiven data:
13, 9, 7, 8, 2, 4, 22, 12, 5, 0.
Mean of the sample = Total number of patients treated / number of days
= (13 + 9 + 7 + 8 + 2 + 4 + 22 + 12 + 5 + 0) / 10
= 82/10
= 8.2
Therefore, the mean of the sample is 8.2
Learn more about mean:
https://brainly.com/question/14532771
#SPJ1
LOTS OF POINTS!!!! look at pic
Answers
Answer:
2x+6-(x^2+6x+9)*pi
Step-by-step explanation:
2*(x+3) - (x+3)^2*pi
2x+6-(x^2+6x+9)*pi
um I think there are answer choices so I don't know if I have to keep going but that should be right
Jude Enjoys Eating Potato Chips. He likes to place 3 chips together in a stack to make interesting flavours. If he only has one flavour of chip, for example, original, then he will only have one way to stack the chips: original, original, original, which can be written as O,O,O
The order in which the chips are stacked does not matter. For example, Jude has two different flavours: original and pizza. Stacking them as original, orginal, pizza (O,O, P) would be the same as stacking them as original, pizza, orignal (O,P,O.). In both stacks, he had two original-flavor chips and one pizza-flavor chip.
If Jude has four flavours, Original (O), pizza (P), and chicken (C) and BQQ (B), how many different stacks can he make
Answers
Using the combination formula, it is found that he can make 4 different stacks.
The order in which the balls are selected is not important, as stated in the problem. hence the combination formula is used to solve this question. If the order was important, then the permutation formula would be used.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, he has four flavors, and will choose three of them for the stacks, hence the number of different stacks is given as follows:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]
He can make 4 different stacks.
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
Which line most accurately represents the line of best fit for the scatter plot?
A graph shows numbers from 0 to 14 on the x axis at increments of 2 and the numbers 0 to 28 on the y axis at increments of 4. Scatter plot shows ordered pairs 2, 5 and 5, 6 and 6, 8 and 8, 10 and 9, 12 and 10, 12 and 11, 14 and 12, 16 and 13, 20. A line labeled A joins ordered pair 0, 0 and 4, 28. A line labeled B joins the ordered pairs 0, 0 and 8, 28. A line labeled C joins the ordered pairs 0, 0 and 13, 28. A line labeled D joins the ordered pairs 0, 0 and 14, 18
Line A
Line B
Line C
Line D
Answers
Answer: Line D
Step-by-step explanation:
The points in the scatterplot are closest to line D.