Answer:
Step-by-step explanation:
6+12+18+....6n=3n(n+1)
Proof by induction
True for n = 1
6 = 3(1)(1+1)
Assume true for n = k
6+12+18+....6k=3k(k+1)
Then show that
6+12+18+....6(k+1)= 3(k+1)(k+1+1)
We add 6(k+1) to both sides of
6+12+18+....6k=3k(k+1)
6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)
= 3(k+1)(k + 2)
= 3(k+1)(k+1+1)
So true for n = k+1
Since true for n=1 it is true for n=2,3,...
Thus true for all natural numbers n by mathematical induction
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Answer:
y = -14
Step-by-step explanation:
3y = -42
Divide both sides by 3:
y = -14
Answer:
-14
Step-by-step explanation:
-42 divided by 3 =-14
The data below shows the number of hermit crabs that live in each of the nine terrariums that Sunipa owns.
Using this data, create a frequency table.
Number of hermit crabs Number of terrariums
3
4
5
Answer:
4 for 3, 4 for 5, and 1 for 4
Step-by-step explanation:
khan academy
Answer:
3-4
4-1
5-4
Step-by-step explanation:
Count how many number there are and put them in the table.
T=Tails |0|1|2|3|
Probability |1/8|3/8|3/8|1/8|
The table and the relative-frequency histogram show the distribution of the number of tails when 3 coins are tossed. Find the probability P(T=3). Write your answer as a fraction.
Answer:
did you ever find the answer?
Step-by-step explanation:
1 1/2 - 2/5 ÷ 4 2/5 × 3/4
Answer:
1 19/44 (1.4318182)
Answer:
1 19/44
Step-by-step explanation:
please helpppp! i’ll mark brainliest
Answer:
from what i see i see thats its D
if not im sorry but i hope i got it right
Step-by-step explanation:
PLEASE HELP!! 100 POINTS!! BRAINLIEST!! What is the GCF of the terms in the numerator and denominator? Rewrite the expression by factoring out any common factors. Write the quadratic expressions in the numerator and the denominator in factored form. Cancel the common factor of the numerator and the denominator to write the expression in simplified form.
4x^2-14x+6/x^3-7x^2+12x
Answer:
2(2x-1)/x(x-4)
Step-by-step explanation:
4x^2-14x+6/x^3-7x^2+12x
2(2x^2-7x+3)/x(x^2-7x+12)
2(2x^2-6x-x+3)/x(x^2-4x-3x+12)
2(x-3)(2x-1)/x(x-4)(x-3)
Algebra 1
help please!
Answer:
b
Step-by-step explanation:
Sorry this isn't the answer, I could give it to you but I know a website that would help you better and I don't feel like opening my laptop but desmos would be great for this if you don't already use it
Step-by-step explanation:
But you put the (2,4) in a box and the (-6,5) in another box and the answer will be where they connect like in and x
Can someone help me pls
Answer:
maybe 223 degrees
Step-by-step explanation:
Martina will make flower arrangements with 3 roses in each arrangement. She will use the equation y = 3x to find the total number of roses she needs. What does x represent in the equation
X represents the number of arrangements.
answer pls and thank u !
In "The Wheel of Woohoo" game, I'm taking a chance on
a spinner with 20 outcomes. If it lands on an even
number, I'll win a prize.
How likely is it to land on an EVEN number?
50-50 chance
highly likely
highly unlikely
unlikely
T
Answer:
50-50 chance
Step-by-step explanation:
Even: 2 4 6 8 10 12 14 16 18 20
Odd: 1 3 5 7 9 11 13 15 17 19 21
Answer:
50:50 chance
Which of the following functions best describes this graph?
Answer:
I believe the answer is A.
Jeff as a collection of hockey cards. His brother Steve had 10 more cards than Jeff. Steve gave Jeff all of his cards. Jeff ended up with 992 cards. How many cards did Jeff start with?
Answer: 491 cards
Step-by-step explanation:
Given
Steve had 10 more cards than Jeff
Suppose Jeff has x cards
So, steve has x+10 cards
Steve handover his cards to Jeff
Now, Jeff has x+x+10=2x+10 cards
It must be equal to 992
[tex]\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}[/tex]
Jeff started with 491 cards
Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that represents this situation. Solve the system by elimination to justify your answer. Airplane #1 is on (2, 4). Airplane #2 is on (15, 9). The airport is on (6, 12).
Answer:
Airplane #1 equation: y=5/13x+42/13
Airplane #2 equation: y=1/3x+14
Step-by-step explanation:
So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.
Hope this helps
Write the equation of the line in fully simplified slope-intercept form
100 points this is math help!!!
What is black and white and has lots of problems
9 letters
Answer:
A math test
Step-by-step explanation:
I just Goggled it lol
solve for x in the equation below, show all work
Step-by-step explanation:
(3x-1)(x+1)=3(3x-4+x²)
open the brackets
=3x²+3x-x-1=9x-12+3x²
=3x²+2x-1=9x-12+3x²
collecting like terms
=3x²-3x²+2x-9x=-12+1
=-7x=-11
=x=11/7
A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.
Answer:
Apothem = 3.3 units
Step-by-step explanation:
A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.
The formula to find the area of a polygon when given Apothem and Side length =
A = 1/2 × a × p
Where p = no of sides of polygon × side length
In the above question,
We are given a polygon = nonagon = 9 sides
Side length = 7 units
p = 9 × 7 = 63 units
Area = 102.4 square units
Apothem = a = ?
We substitute into the formula
102.4 = 1/2 × a × 63
102.4 = 63a/2
Cross Multiply
102.4 × 2 = 63a
Divide both sides by 63
a = 102.4 × 2/63
a = 3.2507936508 units
Approximately to the nearest tenth = 3.3 units
What is 1,198,145 rounded to the nearest ten thousand?
Answer: 1,200,000
Explanation:
4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The answer is 7/24 ~hope this helps~
btw, sick pic B-)
Step-by-step explanation:
Please help with this question... Which expression is equivalent to x^3/2?
Answer: D
Step-by-step explanation:
Answer:
Solve (x+2/x-3);(x-2/x-3) Equating the equation to zero and taking out (x-3) as common denominator (x+2)(x-2)/ (x-3)2 Solving using the identities we get => (x2– 4)/(x2 -6x + 9)= 0 => (x2– 4)=(x2-6x + 9) => -4= -6x +9 => -4 -9= -6x => -13= -6x => 13=6x => x= 13/ 6
Martha use 1 piece of paper and 1 piece of ribbon to make kites. The paper comes in packs of 3 pieces and the ribbon comes in packs of 4 pieces. What is the least number of kites Martha can make without having supplies left over?
ANSWER QUICKKKKKK
There are 89 students in the sixth grade. Thirty-two percent of the sixth grade students live in Earth . Thirty-six percent of the sixth grade students live in Mars. The remaining students live in Saturn. What fraction of sixth grade students live in Saturn?
Answer:
32% of the sixth grade students live on Saturn.
(which would be about 29 of them)
Sarah drove 420 miles in 6 hours. Jonathan drove the same distance going an average of 60 miles per hour throughout the entire trip.
Who was driving faster and by how much?
Answer:
Sarah was driving faster by 10 mph.
She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.
Write each expression in scientific notation. Put your answer for EACH part in the text box. You should have 5 answers for this question.
A) 0.04
B) 0.072
C) 0.0000325
D) 0.003
E) 0.23
please help me
Answer:
A) 4 × 10^-2
B) 7.2 × 10^-2
C) 3.25 × 10^-5
D) 3 × 10^-3
E) 2.3 × 10^-1
Step-by-step explanation:
Find -63+(-208)+(-11) .
Select one:
a. -282
b. 282
c. -134
d. -272
Answer:
In my calculator it says 156
a. -282
Step-by-step explanation:
I just used a calculator haha
plss helppp get a brainliest
Answer:
Answer is c hope this helps :)
Step-by-step explanation:
find the missing side length labeled with a ? mark.
Answer: 10
Step-by-step explanation:
Since the lines are parallel, the triangles are congruent. This means their side lengths are an equal ratio!
6 + 6 : 20 = 6 : ?
12:20 = 6:?
12:20 = 6:10
Answer is 10
The graph shows a line and two similar triangles. What is the equation of the line? y = 3 x y = one-third x y = one-third x + 2 y = 3 x + 2
CONCEPTO
Una ecuación es una igualdad matemática entre dos expresiones, denominadas miembros y separadas por el signo igual, en las que aparecen elementos conocidos y datos desconocidos o incógnitas, relacionados mediante operaciones matemáticas
------------------------------------------------------------------------Igualdad entre dos expresiones que contiene una o más variables."ecuación de segundo grado"Igualdad o paralelismo entre dos o más cosas.
Given that RSTU is a parallelogram and ST is congruent to TU, explain why RSTU must also be a rhombus.
Given:
RSTU is a parallelogram and ST is congruent to TU.
To find:
Why RSTU must also be a rhombus?
Solution:
We know that the opposite sides of a parallelogram are parallel and congruent.
RSTU is a parallelogram. So,
[tex]RS\parallel TU[/tex] and [tex]ST\parallel RU[/tex] [Property of parallelogram] ...(i)
[tex]RS\cong TU[/tex] and [tex]ST\cong RU[/tex] [Property of parallelogram] ...(ii)
It is given that,
[tex]ST\cong TU[/tex] ...(iii)
From (ii) and (iii), we get
[tex]RS\cong TU\cong ST\cong RU[/tex] ...(iv)
From (i) and (iv), we get RSTU is a rhombus because all sides are congruent and appositive sides are parallel.
A parallelogram with each side equal is known as rhombus.
As for the given parallelogram all the sides are equal, therefore it should be rhombus.
What is parallelogram is rhombus?Parallelogram is a closed shaped quadrilateral polygon in which opposite sides are equal and parallel and opposite angles are equal.
What is rhombus?Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel also opposite angles are equal.
Given information-
In the given problem [tex]RSTU[/tex] is a parallelogram.
In the given parallelogram [tex]ST[/tex] is congruent to [tex]TU[/tex].
The image of parallelogram is attached below.
For a parallelogram opposite sides are equal. thus,
[tex]RS=TU\\RU=ST[/tex]
As In the given parallelogram [tex]ST[/tex] is congruent to [tex]TU[/tex]. Thus,
[tex]ST=TU[/tex]
Now the side [tex]ST[/tex] is equal to the side [tex]RU[/tex] and side [tex]RS[/tex] is equal to the side [tex]TU[/tex]. Thus,
[tex]RS=ST=TU=RU[/tex]
All the sides of a rhombus is equal in length. A parallelogram with each side equal is known as rhombus.
As all the sides are equal of the given parallelogram. Thus the given parallelogram is rhombus.
Hence, as for the given parallelogram all the sides are equal, therefore it should be rhombus.
Learn more about the parallelogram and rhombus here;
https://brainly.com/question/20627264