write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
Plz help me this is 7th grade math advance
Answer:
Step-by-step explanation:
180-157=23
Thats the degrees on the left angle.
180-23-53=x
x=104 degrees
Brainiest always appreciated
What happens because of nuclear fusion?
A.
Earth experiences cold temperatures needed to sustain life.
B.
Plants are unable to produce their own food.
C.
Animals receive too much heat and begin to die out.
D.
Earth is provided with heat and light energy needed to sustain life.
Answer:
D
Step-by-step explanation:
Nuclear fusion happens in the sun, D describes what the sun does.
I need this answer ASAP I will make first person to answer brainleist
Answer:
[tex]\frac{m}{3}[/tex] + 549.33
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] of the total earnings m subtracted by the lunch money and added by what they earned last week.
Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kayla’s number?
Answer:
414Step-by-step explanation:
Let the number be aba as it is a palindrome
It divisible by 18, so it is an even number with sum of digits divisible to 9
2a + b = 9kIt is one less than a multiple of 5:
aba = 100a + 10b + a = 101a + 10bMultiple of 5 will end with 0 or 5, it has to be 5 as a is even, then:
a = 5 - 1 = 4The number 4b4 is divisible by 9 only if b = 1:
2*4 + b = 9k ⇒ b = 1So the number is:
414Lets verify:
414/18 = 23414 + 1 = 415- divisible by 5414 - is palindromeAnswer:
414
Step-by-step explanation:
EE
at what value of x, the function 2x^3/3+2x^2-6x+4 is minimum
Answer:
x=1
Step-by-step explanation:
We are given that
[tex]\frac{2x^3}{3}+2x^2-6x+4[/tex]
We have to find the value of x for which function is minimum.
Differentiate w.r.t x
[tex]f'(x)=2x^2+4x-6[/tex]
Substitute f'(x)=0
[tex]2x^2+4x-6=0[/tex]
[tex]x^2+2x-3=0[/tex]
[tex]x^2+3x-x-3=0[/tex]
[tex]x(x+3)-1(x+3)=0[/tex]
[tex](x-1)(x+3)=0[/tex]
[tex]x=1,-3[/tex]
Again, differentiate w.r.t x
[tex]f''(x)=4x+4[/tex]
[tex]f''(1)=4(1)+4=8>0[/tex]
[tex]f''(-3)=4(-3)+4=-8<0[/tex]
Hence, the function is minimum at x=1
Find the slope of the line that passes through the point (2,-5) and (7,1).
Answer:
step 1: X1=2 , y1=-5
step 2: X2=7, . y2=1
step 3: M=6/5
Step-by-step explanation:
just did it
Question 11
Simplify - 4(x + y).
-4(x+y)
= -4x - 4y
pls give me brainliest
A server at a restaurant works 5 hours on a weekday and 8 hours on a weekend day. Use the expression to find the number of hours the server works on 4 weekdays and 2 weekend days.
Answer: 36 hours
Step-by-step explanation:
t = total hours
t = 5d + 8w
t = 5(4) + 8(2)
t = 20 + 16
t = 36
Write 73/22 as a decimal.
Answer:
the answer of decimal is 331.82
6. When a company receives an order, there is a probability of 0.42 that its value is over $1000. If an order is valued at over $1000, then there is a probability of 0.63 that the customer will pay with a credit card. a. What is the probability that the next three independent orders will each be valued at over $1000
Answer:
0.074088
Step-by-step explanation:
Let
A:Value of order over $1000
B:Customer pay with credit card
We are given that
Probability of value of order over $1000,P(A)=0.42
If an order is valued at over $1000, then the probability that the customer will pay with a credit card, P(B/A)=0.63
We have to find the probability that the next three independent orders will each be valued at over $1000
We know that
When two two events A and B are independent then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
Using the formula
The probability that the next three independent orders will each be valued at over $1000=[tex]0.42\times 0.42\times 0.42[/tex]
The probability that the next three independent orders will each be valued at over $1000=0.074088
(SAT prep) find the value of x.
Answer:
140 degrees
Step-by-step explanation:
Ok, so angle in = angle out. This means there are 2 20 degree angles and the total angle of this line is 180 degrees and so 180 - 40 = 140.
Answer:
[tex]x=120[/tex]
Step-by-step explanation:
When two lines are parallel and intersected by a transversal, the alternate corresponding angles are supplementary (their sums equal 180). In the picture, the two parallel lines are intersected by the vertical lines. Then, one of the angles formed intersected again. This means that the sum of the two smaller angles, plus the alternate exterior angle is equal to 180. Hence the following equation can be formed;
[tex]x+20+40=180[/tex]
Simplify,
[tex]x+60=180[/tex]
Inverse operations;
[tex]x+60=180\\-60\\\\x=120[/tex]
Need help on this please
Answer the attachment
And subscribe to Offxcial Prxmiise
The answer is -77
Sorry if it is wrong but this is what I got
Pleaaaaaase help this is due today
What does the statement “ The shortest distance between two points is the straight line between them” have to do with the Triangle Inequality Conjecture?
Do not answer this with one, none, or a ridiculous response please... this is serious
Answer:
https://geometryhelp.net/triangle-inequality-theorem/
Step-by-step explanation:
This is from that site. Visit it and you may find what you're looking for.
If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.
Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.
One angle of a triangle is three times larger as another. the measure of the third angle is 50 degrees more than that of the smallest angle. Find the measure of each angle.
Answer:
Smallest angle of triangle=26 degrees
Second angle of triangle =78 degrees
Third angle of triangle =76 degrees
Step-by-step explanation:
Let x be the smallest angle of triangle
Second angle of triangle=3x
Third angle of triangle=x+50
We know that
Sum of angles of triangle=180 degrees
Using the property
[tex]x+3x+x+50=180[/tex]
[tex]5x=180-50[/tex]
[tex]5x=130[/tex]
[tex]x=\frac{130}{5}[/tex]
[tex]x=26[/tex] degree
Smallest angle of triangle=26 degrees
Second angle of triangle =3(26)=78 degrees
Third angle of triangle =26+50=76 degrees
The bigger
the number the more
factor pairs it has.
Use examples to show that Dexter is wrong.
Answer:
See Explanation
Step-by-step explanation:
Required
Prove that Dexter is wrong
To prove that Dexter is wrong, we use the following numbers.
[tex]Number = 4[/tex]
The factors are:
[tex]Factor = 1,2\ and\ 4[/tex]
3 factors
Using a greater number:
[tex]Number = 5[/tex]
The factors are:
[tex]Factor = 1\ and\ 5[/tex]
2 factors
From the above analysis:
4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors
This shows that Dexter is wrong
HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES
Answer:
Your answer is A
Step-by-step explanation:
I need help please help me
Answer:
look below
Step-by-step explanation:
1*2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
11^2=121
12^2=144
13^2=169
14^2=196
15^2=225
I had to memorize all of these up to 20 squared 2 years ago lol
What values of the variable cannot possibly be solutions for the given equation, without actually solving the equation?
[tex] \frac{6}{3x + 2} - \frac{1}{x - 4} = 0[/tex]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
the solution to the equation is 8. Any value apart from 8 is not a solution
Step-by-step explanation:
Given the equation
6/3x+2 - 1/x-4 = 0
6/3x+2 = 1/x-4
Cross multiply
6(x-4) = 3x+2
6x - 24 = 3x+2
6x-3x = 2 + 24
3x = 24
x = 24/3
x = 8
Hence the solution to the equation is 8. Any value apart from 8 is not a solution
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y = [tex]\frac{3}{2}[/tex]x
y = -x + 5
WILL PICK BRAINLIEST ANSWER, THANK YOU, AND 5 STAR FOR FULL EXPLANATION. :)
Answer:
1 1/2
Step-by-step explanation:
which of the following lines are parralell to x=7
Since x=7 is a vertical line, the slope is undefined. To find an equation that is parallel, the slopes must be equal. Since the slope is undefined, the slope of the parallel line is also undefined. However answer is x=4.
rewrite 3/4x+3=5/8 so that it does not have fractions.
Anyone wanna play Splatoon 2?
(if no then don't answer}
Answer:
What is that?
Step-by-step explanation:
Answer:
Sure I do not know how to join others tho and I don't have wifi sadly :(
Step-by-step explanation:
What would be the most logical first step for solving this quadratis equation?
x²+2x+13= -8
Answer:
B. Add 8 to both sides
Step-by-step explanation:
So you can have 0 at the other end and factor it properly.
Answer:
subtract 13 from both sides
Step-by-step explanation:
subtract 13 so that you will have all of the x's on one side and all of the constant numbers on the other side of the equal sign.
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
8 apples for 9.25
Step-by-step explanation:
because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.
57
a)
Plot the points
i) A (2, 3) and
ii) B (1,-4) on the grid.
4
Shape
3
tल NT
point
b)
point
Point C has the
same x-coordinate as B
same y-coordinate as A.
Plot the point C on the grid.
point
point
1
le
3 4
5 x
4 -3 -2 -1 Ol
-1
c)
-2
-3
Point D has the
same x-coordinate as the
y-coordinate of B
same y-coordinate as the
x-coordinate of A.
Plot the point D on the grid.
-41 **
-5
Find the quotient. 5/6 divided by 1/6
Answer:
5
6
÷
1
6
=
5
6
×
6
1
=
5 × 6
6 × 1
=
30
6
=
30 ÷ 6
6 ÷ 6
= 5
the awnser would be 5
Step-by-step explanation:
Answer:
5/6 x 6/1=30/6=5 The answer is 5
Step-by-step explanation:
Mark brainliest please
I will give brainliest to the right answer:)
Answer:
178.1
Step-by-step explanation:
In the first blank, write in 7 for x, and in the second blank, write in 8 for y. Then perform the indicated multiplication and addition.
12.3(7) + 11.5(8), or
86.1 + 92 = 178.1
Nicole can buy 3 pounds of Luce suppose an orchard for $4.95 or she can buy a 25 ounce bag of apples from the store for $3.79 which is the better deal?
9514 1404 393
Answer:
orchard apples are lower-cost
Step-by-step explanation:
3 pounds is 48 ounces, so the equivalent to the store offering might be about 24 ounces for $4.95/2 ≈ $2.48.
This is substantially less cost per ounce than 25 ounces for $3.79. (24 and 25 are very near, but $2.48 and $3.79 are not.)
Orchard apples are the better deal.