Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
What is the value of c?
answer is c=26
hope that helped loll
Answer:
by using angle sum property
Angles a+b+c = 180 degree.
thus, 42+86+c= 180
128+c=180
c=180-128
c=52
Write an equation that could be used to find how many miles a hybrid suv can travel in the city on 20 gallons
Answer:
m=36×20
Step-by-step explanation:
A hybrid SUV uses 36 miles per gallon in the city.
The equation that could be used to find how many miles a hybrid SUV can travel in the city on 20 gallons of gas is m=36×20.
1+√1-x =(√2x +4)² ........
Answer:
x =−3.28642165
Step-by-step explanation:
help please!!!!!!!!!!
Answer:
110 degrees
Step-by-step explanation:
the angles stay the same even if the size changes!
Answer:
110 because if you add up the angles and subtract the rest then you get it
Marty's cat weighs 10 pounds. This is 24 pounds less then the weight of his dog. Write and solve a subtraction equation to find the weight of Marty's dog.
Answer:
34
Step-by-step explanation:
The dog weighs 34 pounds
34-24=10
24+10=34
PLEASE HELP!!! THIS IS DUE TODAY!
A three-bedroom house in Burbville was purchased for $210,000. Housing prices are expected to increase 2% annually in that town. Find the price of the house in 5 years. Show your equation (2 points), and then your answer (2 points).
Answer:
qjavaivsjsjajjsnssjskksjskskmamaansxbxk
Answer: y=210000(1+0.02)^5
y=231856.97
Step-by-step explanation:
210000 is the total cost and it increases by two percent and its asking how much it will be in 5 years so when you plug in the equation you should get y=231856.97.
Hope this helped
Hi, can anyone please help with this? I'm having a very hard time with this specific problem plus math is my least strong subject and it would mean so much if someone could help. Thank you!!
Answer:
Step-by-step explanation:
For reference the quadratic equations looks like this
(-b±[tex]\sqrt{b^2-(4*a*c)}\\[/tex])/2a
Amy's mistake (and solution)
We can see that when amy mulitplied c she wrote 20 instead of -20 (in step 1). She can fix this by writing (4*1*-20) instead
Richard's mistake (and solution)
When richard messed up on step 5 when he wrote (6-2i)/2. You only would write the i if the negative was in the radical (but in this case it's outside). You would fix this by just getting rid of the i entirely (and keeping the 2)
I'm not really too sure how you would do three but I'll give it a shot anyways
our equation will look like this: x²+2x
which means our quadratic equation would look like this
[tex]\frac{-2+/-\sqrt{2^2-4*1*0}}{2}\\=\\\\\frac{-2+/-(2)}{2}\\\\\\= -1+/-(1)\\\\-1+1=0\\-1-1=-2[/tex]
When I write +/- I mean plus or minus giving us -2 and 0 as our solutions
1 markers cost $7.04
Which equation would help determine the cost of 7 markers!
ABC is a straight angle.
Find ABX and CBX .
Answer:
Step-by-step explanation:
14x+70+20x+8 =180
34x + 78 = 180
34x = 102
X = 3
ABX 14(3)+70 = 112
CBX = 20(3) +8= 68
HEEEEPLLLP IF RIGHT WILL GIVE YOU BRAINLIEST IF WRONG I WILL GO TO A CORNER AND CRYYY
Answer:
The last one is incorrect
Step-by-step explanation:
please help and explain how to solve
Answer:
45
Step-by-step explanation:
25 ÷ 45 = 0.555 x 81 = 45
Answer:
A 45-foot tree will cast a 81-foot shadow.
Step-by-step explanation:
Set up a proportion.
I'll set mine up like this:
[tex]\frac{Height of Tree}{Shadow}=\frac{Height of Tree}{Shadow}[/tex]
Insert the values given then solve for the unknown (t).
[tex]\frac{25}{45}=\frac{t}{81}[/tex]
[tex](81)\frac{25}{45}=\frac{t}{81}(81)[/tex]
[tex]45=t[/tex]
What is the multiplicative inverse 23/7?
Answer:
7/23
Step-by-step explanation:
A zookeeper has 858585 treats to divide evenly among 888 seals. The zookeeper divides to see how many treats to give to each seal. The zookeeper will have as few treats left as they can.
85\div8=10\text{ remainder }585÷8=10 remainder 585, divided by, 8, equals, 10, start text, space, r, e, m, a, i, n, d, e, r, space, end text, 5
Which of the following describes the remainder in this case?
Choose 1 answer:
Answer:
the anwser is B
Step-by-step explanation:
Does 7 = 0 ???????????????
Answer:
no never. it won't be zero.
There is 1/ 3 gallon of water in a 3-gallon container. What fraction of the container is filled?
Step-by-step explanation:
2/3 gallons is empty
1/3 gallons is filled
so
3*1/3= 1
1 gallon filled
Answer:
1/9
Step-by-step explanation:
if it is only 1/3 of 1 gallon, then multiply 3 by 3 to get 9, then you have 1/9
There are 550 people at the school carnival.
Part A
If 385 of the people are students, what percentage of the people at the carnival are students?
Part B:
If 30% of all the people at the carnival are on a ride, how many people are on the ride?
Answer:
70% of the people at the fair are students
165 people are on the ride
Step-by-step explanation:
In order to find a percentage, take the fraction given, 385/550, and divide the numerator, 385, and divide it by the denominator, 550. Once completing this, we get 0.7
Next, we multiply the result by 100, and get 70, thus, 385 is 70% of 550.
To find how many people 30% of 550 is, we take the percentage and put it in a fraction with the denominator being 100(changes with size of fraction like a decimal, 300 would be over a denominator of 1000)
With 30/100, we then multiply by 550 with the equation looking like this:
30/100*550/1
Once we finish multiplying(typically using a calculator, although you can do it manually) we get 165, the value of how many people are on rides out of the total 550.
fill in the table using the function rule
Answer:
for number 1 y = 21 for number 2 y = 39 for the 3rd 1 its y = 54 and the final 1 is y = 63
Step-by-step explanation:
plz if I'm right plz mark me brainlist because this took a long time
Please Help
write and equation in slope intercept form with the following information. slope = 7, y intercept = -9
Answer:
y=7×-9 I going to be your answer
some help me!!!! Please
What is 3 more than -5 ?
plsssss answer i will mark as brilliant
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
If your phone cord is wrapped up in a rectangle that is 2x1 feet, how far can it reach?
Answer:
6 feet
Step-by-step explanation:
You are basically finding the perimeter of this rectangle.
2+2+1+1 = 6
Explain how you would solve the equation. Justify each step.
d ÷ 9 = 8
Bananas sell for $0.49 for 1 pound. How much will 1.31 pounds cost?
Answer:
0.64
Step-by-step explanation:
Bananas:0.49:1
?:1.31
1x1.31 is 1.31 so
0.49x1.31=0.64
A woman put $580 into a savings account for one year. The rate of interest on the account was 6½%. How much was the interest for the year in dollars and cents? (Round to the nearest cent)
Answer:
Step-by-step explanation:
principal amount by women for savings = $ 580
duration = 1 year and rate of interest on it = 6 .1/2 % = 13/200
now amount of interest she'll be earning = $580 x 1 x 13 /200 = $37.7
thats 37 dollar 70 cents
Subject:Mathematics
simplify answer, round to nearest 10th in radical form
Answer:
adassdasdsa c c c c cc c c c c c c c cc c c c
Step-by-step explanation:
Please help!!!! Maths!!!!!
Answer:
x= 2 or x= -3
Step-by-step explanation:
Bring the equations together using a common denominator (x-5) (x+7)
x-29/(x-5) (x+7)= 1
Multiply both sides by (x-5) (x+7)
x- 29= (x-5) (x+7)
x- 29= (x-5) (x+7)= x^2 + 2x - 35
-x^2 - x + 6 = 0
-(x-2)(x+3)= 0
Multiply both sides by -1
(x-2)(x+3)= 0
Split it into two equations
x-2= 0 or x+3= 0
x= 2 or x= -3
PLEASE HELP DUE IN 15 MINS
Answer:
22) 3 in<x<11 in
23) 8 cm<x<26 cm
24) 0 ft<x<10 ft
25) 9 m<x<31 m
26) 2 km<x<14 km
27) 13 in<x<61 in
Step-by-step explanation:
It has to be greater than the difference and smaller than the sum.
22) 7-4=3, 4+7=11, so the answer is 3<x<11
23) 8<x<26
24) 0<x<10
25) 9<x<31
26) 2<x<14
27) 13<x<61
What is the value of z?
answer is z=17
hope that helped loll
Answer:
17
Step-by-step explanation:
30+31=61
180-61=119
119/7=17
Pls answer b and c for my brother
Answer:
B and C
Step-by-step explanation:
Answer:
this was hard
Step-by-step explanation:
1b. 7 1/2
2b. 9 3/4
3b. 6 1/2
4b. 2 2/3
5b. 3 1/3
6b. 9 3/4
7b. 8 6/7
8b. 5 2/3
9b. 3 3/5
10b. 28
1c. 8 4/5
2c. 8 2/3
3c. 5 2/3
4c. 2 1/3
5c. 5 1/2
6c. 2 3/7
7c. 7 4/5
8c. 8 1/2
9c. 2 3/4
10c. 122