Answer:
To determine whether the three points P, Q, and R are colinear, we can calculate the distances between pairs of points using the distance formula:
d(P,Q) = √((-8 - (-7))^2 + (4 - 6)^2 + (-11 - (-8))^2) = √((-1)^2 + (-2)^2 + (-3)^2) = √14
d(Q,R) = √((-9 - (-8))^2 + (3 - 4)^2 + (-14 - (-11))^2) = √((-1)^2 + (-1)^2 + (-3)^2) = √9
d(P,R) = √((-9 - (-7))^2 + (3 - 6)^2 + (-14 - (-8))^2) = √((-2)^2 + (-3)^2 + (-6)^2) = √19
If the three points are collinear, the distance between any two points should be a multiple of the distance between the other two points. Since √14, √9, and √19 are not multiples of each other, it can be concluded that the three points P, Q, and R are not collinear.
Find the size of each internal angle in a regular heptagon. Give your
answer rounded to the nearest degree.
Answer:
Step-by-step explanation:
A heptagon is a polygon with 7 sides.
Sum of all angles of a polygon with n sides = 180(n-2) = 180 x 5 = 900°
So, the degree of each angle will be 900/7 = 128.57 or ≈129°.
Thanks
Graph the function m(x) = x + 1
When the function, m ( x) = x + 1 is graphed, the result is shown attached.
How to graph a function ?When graphing a function, you need to remember that x is the independent variable. This means that you need to come up with the values of x and then use these values to come up with the corresponding values of y or m (x ) using the function.
Assuming you have values of x which are -3, -2, -1, 0, 1, 2, 3, the values of y would be:
x = - 3:
= x + 1
= - 3 + 1
= -2
x = - 2
= - 2 + 1
= - 1
x = - 1
= - 1 + 1
= 0
x = 0:
= 0 + 1
= 1
x = 1 :
= 1 + 1
= 2
x = 2 :
= 2 + 1
= 3
x = 3 :
= 3 + 1
= 4
The points would then be:
( - 3, - 2) , ( - 2, - 1) , ( - 1 , 0 ) ( 0, 1 ) ( 1, 2 ) ( 2, 3 ) ( 3, 4 )
The graph would be shown as attached.
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The graph of the function f(x) =-3x^2 - 3x + 6 is shown. Which statements describe the graph? Select three options.
1) The vertex is the maximum value.
2) The axis of symmetry is x = -1/2.
3) The domain is all real numbers.
4) The range is all real numbers.
5) The function is decreasing from (-∞, 6.75).
Answer:
1) The vertex is the maximum value.
2) The axis of symmetry is x = negative one-half.
3) The domain is all real numbers.
Step-by-step explanation:
What is the equation?
N=4 Y=3
2y + 6n
Write the product (3 + 3i)(3 − 3i) in the form a + bi.
Answer:
[tex]\huge\boxed{18 + 0i}[/tex]
Step-by-step explanation:
Given expression:= (3 + 3i)(3 - 3i)
= 3(3 - 3i) + 3i(3 - 3i)
= 9 - 9i + 9i - 9i²
= 9 - 9(-1)
∵ i² = -1= 9 + 9
= 18In the form a + bi:
= 18 + 0i[tex]\rule[225]{225}{2}[/tex]
If f(x)=4x^4-3x^2+4f(x)=4x
4
−3x
2
+4, then what is the remainder when f(x)f(x) is divided by x+3x+3?
Answer:
synthetic division method use it
NO LINKS!!! This problem only
Identify the segment bisector of XY. Then find XY.
Segment Bisector:
XY:
Answer:
Segment Bisector: PQXY: 26 units-------------------------------
As per given drawing PQ is the segment bisector of XY.
The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.
XW = 13 units, hence:
XY = 2*XW = 2*13 = 26 unitsNEED HELP ASAP!!! PLEASE THIS IS DUE SOON
Answer:
1 is p
2 is np
3 is p
4 is np
(should be right)
Step-by-step explanation:
How many terms are in this expression?
2b+6
Answer:
There are two terms in the expression
Step-by-step explanation:
2b is one term since it is multiplied together, and 6 is by itself and is the second term
What is the slope of the line shown below?
(1,6) (-5,-7)
A. 13/6
B. -13/6
C. -6/13
D. 6/13
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }[/tex]
Belle bought 4 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally among the 4 cans of paint. How much additive did she put in each can?
The quantity of additive which Belle put in each can as required is; 1/8 pint.
What is the quantity of additive in each can?It follows from the task content that the quantity of additive which Belle put in each can be determined if 1/2 of a pint of special paint additive is shared among 4 cans of paint.
The resulting expression which given the required quantity is;
1/2 ÷ 4
= 1/2 × 1/4
= 1/8.
On this note, the quantity of additive in each can of paint is 1/8 pint of special paint additive.
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Find the sum the first 5 terms of a G.P whose first term is 3 and its common ratio is 0.25 to 4s.f.
Answer:
A G.P is a sequence of numbers such that the ratio of any two consecutive terms is a constant, called the common ratio. Given the first term (3) and the common ratio (0.25) of the G.P, we can find the sum of the first 5 terms using the formula:
S_n = a(1 - r^n) / (1 - r)
Where:
S_n is the sum of the first n terms of the G.P.
a is the first term of the G.P.
r is the common ratio of the G.P.
n is the number of terms in the sum.
So, to find the sum of the first 5 terms of the G.P, we can substitute the given values into the formula:
S_5 = 3(1 - (0.25)^5) / (1 - 0.25)
S_5 = 3(1 - (0.25)^5) / (1 - 0.25) = 3(1 - 0.25^5) / (1 - 0.25) = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75
S_5 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75
S_5 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.
Answer:
3.996
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given:
a = 3r = 0.25n = 5Substitute the given values into the formula to find the sum of the first 5 terms of a geometric progression whose first term is 3 and common ratio is 0.25:
[tex]\implies S_5=\dfrac{3(1-0.25^5)}{1-0.25}[/tex]
[tex]\implies S_5=\dfrac{3(1-0.00097656...)}{0.75}[/tex]
[tex]\implies S_5=\dfrac{3(0.999023437...)}{0.75}[/tex]
[tex]\implies S_5=\dfrac{2.99707031...}{0.75}[/tex]
[tex]\implies S_5=3.99609375[/tex]
[tex]\implies S_5=3.996\; \sf (4\;s.f.)[/tex]
Yen is planning for her retirement. She is 30 years old today and would like to have RM800,000 when she turns 55. She estimates that she will be able to earn a 9% rate of return on her retirement investment over time; she wants to set aside a constant amount of money every year (at the end of the year) to help achieve her objective. How much money must she invest at the end of each of the next 25 years to realize her goal of RM800,000 at the end of that time?
The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5-number summary. 1.0 1.5 2.5 3.0 4.0 4.0 4.5 4.5 4.5 4.5 4.5 5.0 5.0 5.5 5.5 5.5 6.0 6.0 6.5 6.5
What is the nth term rule of the quadratic sequence below?
−
5
,
−
3
,
3
,
13
,
27
,
45
,
67
,
.
.
.
Answer:
Step-by-step explanation:
y=ax²+bx+c
x=1,y=-5
-5=a+b+c ...(1)
x=2,y=-3
-3=4a+2b+c ...(2)
x=3,y=3
3=9a+3b+c ...(3)
(2)-(1) gives
2=3a+b ...(4)
(3)-(2) gives
6=5a+b ...(5)
(5)-(4) gives
4=2a
a=4/2=2
from (4)
6=5(2)+b
b=6-10=-4
from (1)
-5=2+(-4)+c
-5=-2+c
c=-3
y=2x²-4x-3
Which event will have a sample space of S = {g, b}?
.
.
.
A. Flipping a fair, two-sided coin
B. Rolling a six-sided die
C. Flipping a two-sided coin with one side green and the other side blue
D. Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Answer:
C. Flipping a two-sided coin with one side green and the other side blue
Step-by-step explanation:
The sample space, S, is a list of tge possible outcomes (results) of an event (coin-flipping, dice-rolling etc)
Unless its a trick question and you can argue that g and b also stand for heads/tails and A/B, then the answer C.
Answer: C: Flipping a two-sided coin with one side green and the other side blue
Step-by-step explanation: :)
help me with this question and find f8
Answer:
f(8) = - 1
Step-by-step explanation:
f(8) has x = 8 which is in the interval x > 0 , then f(x) = - 1 , so
f(8) = - 1
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
x = 10 (yes)
x = 14 (yes)
x = 6 (no)
x = 4 (no)
Step-by-step explanation:
Plug in each x value into the function and determine if it is true or not.
44 [tex]\leq[/tex] 35 + x
44 [tex]\leq[/tex] 35 + (10)
44 [tex]\leq[/tex] 45
45 is greater than or equal to 44, so it is a solution
44 [tex]\leq[/tex] 35 + (14)
44 [tex]\leq[/tex] 49
49 is greater than or equal to 44, so it is a solution
44 [tex]\leq[/tex] 35 + (6)
44 [tex]\leq[/tex] 41
41 is not greater than or equal to 44, so it is not a solution
44 [tex]\leq[/tex] 35 + (4)
44 [tex]\leq[/tex] 39
39 is not greater than or equal to 44, so it is not a solution
I hope this helps! :)
QUICK I’LL MARK YOU BRAINLIEST!! 5-62. A lemonade recipe calls for using a ratio of 2 cups of lemon juice for every 4 cups of water.
Old-Fashioned Lemonade cups lemon juice
0%
6 cups
lemonade
4
100%
a. Use the diagram above to show the percent of lemonade that is water and the percent that is lemon juice.
b. What is the ratio of lemon juice to total liquid?
Answer:
Step-by-step explanation:
2 cups of lemon per 4 cups water
in 6 cups of lemonade, 2 cups lemon (2/6)
simplified 1/3
Jamal has a rare baseball card in his
collection. It is worth $78, and its value
increases by $1.50 every month that the
player is in the league. How much will
this card be worth in one year if the
player is still playing?
Answer: The answer would be $96.
Step-by-step explanation: $78 increasing dramatically by $1.50 every month, 78+1.50x12=$96.
Answer:
$96
Step-by-step explanation:
78+1.5m is the expression, with m representing months. Since one year has 12 months, the expression is now 78+1.5*12, which equals 96.
The fourth grade is going on a field trip and taking two buses. One bus has 3 rows of seats with 9 seats in each row the other bus has four times as many seat as the first bus. How many seats are there in both buses?
The number of seats of each bus is given as follows:
First bus: 27. Second bus: 108.How to obtain the number of seats?The number of seats of each bus is obtained applying the proportions in the context of the problem.
One bus has 3 rows of seats with 9 seats in each row, hence the number of seats of the first bus is given as follows:
3 x 9 = 27.
The other bus has four times as many seat as the first bus, hence the number of seats of the second bus is given as follows:
4 x 27 = 108.
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9. A consignment store charges a flat rate plus a percent of the sale price for any items it sells. An item priced at $500 carries a total fee of $120 while an item priced at $800 carries a total fee of $180. Use the point- slope equation to find the total fee for an item priced at $300.
Answer: The total fee for an item priced at $300 is $80.
Step-by-step explanation:
We can use the two given points to find the slope (m) and one point to find the y-intercept (b) of the line representing the consignment fee equation.
We know the two points are (500, 120) and (800, 180)
slope (m) = (y2-y1)/(x2-x1) = (180-120)/(800-500) = 60/300 = 0.2
Now we can use one of the point to find y-intercept (b)
120 = 0.2(500) + b
b = 20
Now we can use point-slope equation to find the total fee for an item priced at $300
y - 120 = 0.2(x - 500)
y = 0.2x + 20
What is the equation of the midline of the sinusoidal function?
Answer:
y = -3
Step-by-step explanation:
The midline of a sinusoidal function is y = a where "a" is halfway between the minimum and maximum y-values of the function.
From inspection of the given graph:
Maximum y-value = 1Minimum y-value = -7Therefore, the y-value that is halfway between the minimum and maximum points is:
[tex]\implies y=\dfrac{y_2+y_1}{2}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3[/tex]
Therefore, the equation of the midline of the given sinusoidal function is:
y = -3Los profesores _____ en la biblioteca.
Group of answer choices
están
estoy
está
estás
Answer:
the answer would be están
The functions f(x)=−2x+2 and g(x)=(1/3)^x+1 are shown in the graph. What are the solutions to −2x+2=(1/3)^x+1? Select each correct answer.
−1
0
2
3
4
Answer:
Step-by-step explanation:
The solutions to the equation −2x+2=(1/3)^x+1 can be found by finding the values of x that make the two sides of the equation equal. To solve this equation, we need to find the x values where the graphs of f(x) and g(x) intersect.Since the two functions are not linear and have different forms, it's hard to find the exact solutions. One way to find the solution is to graph the functions and find the x values where the two graphs intersect.It's not possible to find the exact values of x that make the two sides of the equation equal, because the two functions don't intersect at any specific point. It's not possible to find an exact solution to this equation, so none of the options are correct.
Find the domain of fg f(x) = x + 2 g(x) =1/x + 2
Answer:
x+2 domain: (-infiniy, +infinity) or -infinity<x<infinity
1/x +2 domain: (-infinity, 0) and (0, infinity) or 0<x<0
Use the digits in 2023 (2, 0, 2 and 3) exactly once time each along with any mathematical symbol or operation of your choosing to create expressions equivalent to the numbers between 1 and 100. 6th Grade.
The number-finding assignment to a subset of the numbers depending on the age and arithmetic proficiency .
what is expressions ?A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x.
given
It is possible to locate more numbers in the challenge in some years than in others.
You might want to limit the number-finding assignment to a subset of the numbers depending on the age and arithmetic proficiency of your pupils as well as the amount of class time you want to allot to this task. The 2023 Challenge is available in 6 distinct iterations this year, which you can print and utilize with your pupils. Using the digits in 2023, set a challenge for your students to discover the numbers 1-10, 1-20, 1-30, 1-40, 1-50, or 1-100.
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Question 3 of 10
Jordan signed a finance agreement for her recent purchase. What is the
collateral for her loan?
The collateral for the loan that Jordan signed the finance agreement, is nothing. There was no collateral.
What is an unsecured loan ?A loan that doesn't require any sort of collateral is known as an unsecured loan. Lenders approve unsecured loans based on a borrower's creditworthiness rather than their assets as collateral. Personal loans, school loans, and credit cards are a few examples of unsecured loans.
Since secured loans are safer for lenders to approve than unsecured loans, unsecured loans need better credit scores.
Jordan most likely made a purchase with her credit card and so the finance agreement she signed would therefore likely be an unsecured loan with no collateral.
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Test the convergence of the series ∑∧∞ 4.7.10…(3n+1) /1.2.3….n
The convergence of the series ∑∧∞ 4.7.10…(3n+1) /1.2.3….n is π =3+. 1. 10. +. 4. 102. +. 1. 103. +. 5. 104. +. 9. 105. +. 2. 106
What is the convergence of a series?You should understand that any series that is not convergent is said to be divergent or to diverge
The reciprocals of the positive integers produce a divergent series
This can be written as π =3+. 1. 10. +. 4. 102. +. 1. 103. +. 5. 104. +. 9. 105. +. 2. 106 .... For x ∈ R, the (infinite) geometric series ∑n≥0 xn converges if |x| < 1 and ...
This is to say that the convergence series is the reciprocal of the series.
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what's th y intercept of y=6(x-1/2)(x+3)
to get the y-intercept of any equation we can simply set x = 0 and solve for "y", so let's do so
[tex]y=6\left( x-\cfrac{1}{2} \right)(x+3)\implies \stackrel{\textit{setting x = 0}}{y=6\left( 0-\cfrac{1}{2} \right)(0+3)}\implies y=6\left( -\cfrac{1}{2} \right)(3) \\\\\\ y=(-3)(3)\implies y=-9\hspace{12em} {\Large \begin{array}{llll} \stackrel{y-intercept}{(0~~,~~-9)} \end{array}}[/tex]
