Answer: The common number is 26.
Step-by-step explanation:
We know that the n-th term of a sequence is:
aₙ = 3*n^2 - 1
And the n-th term of another sequence is:
bₙ = 30 - n^2
Remember that in a sequence n is always an integer number.
We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:
aₙ = bₓ
This is:
3*n^2 - 1 = 30 - x^2
Let's isolate one of the variables, i will isolate n.
3*n^2 = 30 - x^2 + 1 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now we can try with different integer values of x, and see if n is also an integer.
if x = 1
n = √( (31 - 1^2)/3) = √10
We know that √10 is not an integer, so we need to try with another value of x.
if x = 2:
n = √( (31 - x^2)/3) = √(27/3) = √9 = 3
Then if we have x= 2, n is also an integer, n = 3.
Then we have:
a₃ = b₂
The common number between both sequences is:
a₃ = 3*(3)^2 - 1 = 26
b₂ = 30 - 2^2 = 26
Simplify the expression. 4√768x8y5
Answer: 64x^4 y^2 √3y
by-step explanation:
This mean ^ the mini number that goes on top hope this helps.
Answer:
B. [tex]4x^2y\sqrt[4]{3y}[/tex]
Step-by-step explanation:
I just took the quiz #platofam
On Wednesdays at Tara's Taquería four tacos are the same price as three
burritos. Last Wednesday the Lunch Bunch ordered five tacos and six
burritos, and their total bill was $8.58 (with no tax or drinks included).
Nobody in the Lunch Bunch can remember the cost of one of Tara's
tacos. Help them figure it out.
THE ANSWER IS
0.66
Or for fraction 6/10
help me pls i will mark as brainliest
Answer:
y. = 42
Step-by-step explanation:
The right side of the triangle is 48 and the top part is 90 degrees so then if you subtract 138 from 180 is would be 42
Please ONLY Answer #3
Answer:
yes , keiko is correct.
sin^(-1)x = -sin^1
Answer:
Keiko is wrong
Step-by-step explanation:
Keiko is incorrect
When n is positive, 1^n will always be 1
but........ (-1)^n will not always be -1
This is because there are parenthesis around -1
So n is even, then it will be 1 not -1
For example, n = 4
You will do -1 * -1 * -1 * -1 which is 1 not -1
but if n = 3
You will do -1 * -1 * -1 which is -1
Therefore, the second statement is incorrect resulting in Keiko being wrong
Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain.
lahdhd7svs7dhdhdydys
marking brainliest bc i need help
Answer:
x=35
Step-by-step explanation:
Juan rides his bike 30 miles in 8 hours. At this rate how many miles does he ride his bike
in 2 hours?
1.8 miles
15 miles
30 miles
7.5 miles
Answer:
answer is 7.5 miles
Step-by-step explanation:
30/8=3.75 mi in one hour
3.75*2=7.5 miles in 2 hours
hope it helps
Can someone at least do letter A I don’t understand this
Answer:
10, opposing sides of a parrallelogram will have the same length
Step-by-step explanation:
given that FG = 10 , thus EH=FG=10
Answer:
EH is 10
Step-by-step explanation:
Parallelograms have congruent sides almost all of the time. so take the opposite side ( which is 10) and your answer!
Hi I really need help
Answers:
EG = 26 unitsangle IFG = 40 degreesInput the numbers only.
=========================================================
Explanation:
In any rectangle the diagonals are the same length. Also, the diagonals cut each other in half (aka bisect).
This means EI and FI are the same length
EI = FI
4x+5 = 6x+1
4x-6x = 1-5
-2x = -4
x = -4/(-2)
x = 2
This then leads to
EI = 4x+5 = 4(2)+5 = 13FI = 6x+1 = 6(2)+1 = 13Both are 13 units long to help confirm we have the correct x value.
If EI = 13, then EG = 2*EI = 2*13 = 26 since EG is twice as long as EI. This goes back to the fact that the diagonals cut each other in half.
-------------
If angle EIH is 100 degrees, then so is angle FIG (they are vertical angles).
Focus on triangle FIG. We just found that angle i = 100. This triangle is isosceles with FI = IG being the two equal sides. The angles opposite these congruent sides are angles F and G. Let's call them x for now.
So we have
i = 100F = xG = xThe three angles of this triangle add to 180
F+I+G = 180
x+100+x = 180
2x+100 = 180
2x = 180-100
2x = 80
x = 80/2
x = 40
So angle F, of triangle FIG, is 40 degrees
This is the same as saying angle IFG is 40 degrees.
Answer:
EG = 26 units
angle IFG = 40 degrees
Step-by-step explanation:
which logarithmic equation is equivalent to 2^5=32
Answer:
5= log2(32)
Step-by-step explanation:
IT IS CORRECT! I took the test :)
The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is:
P and Q form a linear pair. If mP = (7x – 4)º and
mQ = (2x - 5), find the measure of each angle.
Equation
x=
mP =
mQ =
Answer:
m∠P=143° and m∠Q=37°
Step-by-step explanation:
(2x-5)+(7x-4)=180°
9x-9=180
9x=189
x=21
2(21)-5=37
7(21)-4=143
What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)
[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]
(-1,3)
Chloe compares the growth of plant species A and B. Part A What do the box plots tell you about the growth of a typical plant of each species? Choose the correct response. Plant B typically grows 1 cm taller than Plant A, since the range for Plant B is 1 cm greater. Plant B typically grows 1 cm taller than Plant A, since the IQR for Plant B is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the median for Plant A is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the mean for Plant A is 1 cm greater.
Answer:
Type A Type B
Median 52 grams 52 grams
Lower Quartile 49 grams 51 grams
Upper Quartile 57 grams 54 grams
Range 14 grams 8 grams
Interquartile Range 8 grams 3 grams
From this table we can see that both types of tomato have the same average mass because their medians are the same.
Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.
However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.
Nevertheless, there will be some type A tomatoes that are lighter than any of type B.
Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.
Step-by-step explanation:
Hi
If y varies directly with x, and y= 10 when x = 5, find y when x 15.
Answer:
30
Step-by-step explanation:
Set up the proportion y=kx k equals y over x
y=2x
y=30 if x is 15
Please help me, this is due today and I'm very confused.. :l
Answer:
I don't see anything
Step-by-step explanation:
rynsggnegnegnhn
Answer:
There isn't anything there, thanks for the points though
Step-by-step explanation:
functions ! will give brainliest
i got 22 for a but am stuck on b & c :(
please explain what u r doing
Answer:
b) [tex]f^-1(x)[/tex]= ∛(4x-24)
c)2
Step-by-step explanation:
these ones are inverse functions
change the f(x) for y and make x the subject
y= x³/4 +6
(y-6)x 4 = x³
∛(4y-24)= x
then put x back were y is
[tex]f^-1(x)[/tex]= ∛(4x-24)
and to do c just put in 8 where x is
∛(4(8)-24)= 2
Given that B is the midpoint of AC, and E is the midpoint of AD, prove △ABE and △ACD are similar.
Options:
A. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (AA∼)
B. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (SAS∼)
C. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (AA∼)
D. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=AEAD (Reflex. Prop. of ≅)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (SAS∼)
Answer: B
Step by Step explanation:
is this table linear or non -linear?
Answer:
all of them are linear
Step-by-step explanation:
Use the function y=ax, plug x and y into it.
I have just tried it and all of them are linear function.
Can somebody plz help answer the rest of these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :SD
Answer:
9. 16.34
10. 51.84
11. 20.11
12. 76.03
13. 64.09
just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)
I ONLY HAVE LITTLE TIME PLZ HELP
Which statement correctly identifies the line of reflection?
A.The triangles are reflected across the X-axis
B.The triangles are reflected across the Y-axis
C.The triangles are reflected across the line Y=X
D.The triangles are reflected across the line Y=-X
pls help.
I WILL MARK BRAINLIEST!
Answer:
c
Step-by-step explanation:
because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.
Im sorry- everyone is saying its C so- Uh... sorry :<
the roman number of 30 is
Answer:
XXX
Step-by-step explanation:
10+10+10 if that helps
calculate the volume of the rectangular prism below
Answer:
210 in
Step-by-step explanation:
Please help find the constant
Answer:
the constant or rate of change is 3
Step-by-step explanation:
mark brainliest please
Que entiedes por semirecta
Answer:
What do you understand by semi-direct
Step-by-step explanation:
plsss help ASAP!!!
BRAINLIEST
Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
3t8 units3
9t15 units3
27t15 units3
243t5 units3
Answer:
C;27t15 units3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Please help me
Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.
Answer:
depends on the other side, so... maybe
Step-by-step explanation:
If you have a rectangle and you know one side is 5.25, then if the perpendicular side looks about the same length or longer, then the area of the rectangle is at least 25.
Imagine you have a rectangle with a known base of 5.25, then if the rectangle is at least as tall as it is wide, then the area is over 25. If the rectangle is very close to a square then the area should be near 25, and if the rectangle is visually shorter than it is wide then the area is less than 25