After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?
Answers
a (n)=a1 × r^(n-1)
a1=5120
a2=1280
a3=320
a4=80
-->a2/a1=1280/5120=0.25
-->a3/a2=320/1280=0.25
-->a4/a3=80/320=0.25
ration(r) =0.25
■■■a(n)=a1 × r^(n-1)■■■
a (5)=5120×0.25^(5-1)
a (5)=5120 × 0.25 ^(4)
a (5) = 5120 × 0.00390625
a (5) = 20
Related Questions
Which equation represents the sentence?
Six less than a number is half the number.
n−6=n2
n2−6=n
6−n=n2
6−n2=n
Answers
Answer:
It is n-6=n/2.
Step-by-step explanation:
I took the quiz.
x+3y=23
x-2y= -17
help elimationmethod
Answers
Answer:
1. 20
2.19
ok that will help you
A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?
Answers
Answer:
y = 1/6x - 9
Step-by-step explanation:
The slope-form intercept formula is y = mx + b
como
Si al dinero que tengo le sumo el doble de lo que tengo y le resto $4000
equivale a $11000. ¿Cuántotengo?
ar
ca
O a. 6000
O b. 5000
O C. 2000
O d. 4000
x
Answers
Answer:
D
Step-by-step explanation:
My gut tells me D because I don't understand your language
2 1/4 divided by 3/4 i need it fast tho-
Answers
Answer:
3
Step-by-step explanation:
We have to divide 2 1/4 by 3/4
First convert 2 1/4 to an improper fraction
2 1/4 = (2*4 + 1)/4 = 9/4
Divide 9/4 by 3/4
(9/4)/(3/4)
The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3
Now cancel the common factor 3, which gives 3
The required value of 2 1/4 divided by 3/4 is 3
Answer:
Step-by-step explanation:
Use KCF method
Keep the first
Change division to multiplication
Flip the second
[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]
9/4 ÷ 3/4
[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]
How many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒
Answers
Answer:
1500-8000
Step-by-step explanation:
It depends what type of truck and what its carrying
Write an equation in slope-intercept form for the line with slope 3 and y-intercept "-7." Then graph the line.
Answers
Answer:
The equation of a straight line is always [tex]y=mx+b[/tex], where m is a constant which is the slope and b is a constant which is the y-intercept.
Substitute these values in:
[tex]y=3x-7[/tex]
The graph would look like the image attached.
3. Each beam of sunlight (a, b, or c above) delivers 1300 joules of energy per second (i.e. 1300 watts) overains
of the upper atmosphere, perpendicular to the direction of the beam (ie. the beam hits a flat surface. Sveta
sunlight spreads out when it hits the Earth, use your answers from 2 above to calculate the amount of enerosta
(c)
actually delivered per 100 m of surface in each of sunlight beams a, b, and c.
Answers
Answer:
i believe the answer is 13 ?
Step-by-step explanation:
1300 divided by 100 is 13 im not sure if this is right tho sry if im wrong.
Mary is 4 years older than her sister Dawn.
In total the sisters have a combined age of 32.
Form an equation to show this. How old is Mary?
Answers
what is 1 1/5 x 2 3/4
Answers
33
10
33
10
Decimal Form:
3.3
3.3
Mixed Number Form:
3
3
10
I hope it help #carry on learning
Step by step:
11(23)/5(4) (multiply 11 and 23)
253/5(4) (multiply 5 and 4)
=253/20
a square has a shaded part with 7cm and 4cm and 40 cm. workout the percentage of the are inside the square that is shaded
Answers
Answer:
68
Step-by-step explanation:
You multipliy 7x4 and you get 28 now you add the 40+28=68.
5,8,6,9,7,10,8 what is the 20th term
Answers
Answer:
17
Step-by-step explanation:
the sequence is plus 3 minus 2. I forgot the actual formula for these kinds of questions but i vaguely remember
an = d (n - 1) + c
I was never able to remember how to use the formula but the sequence would be
5,8,6,9,7,10,8,11,9,12,10,13,11,14,12,15,13,16,14,17,15,18,16,19
if you'll notice, every other number is just one more than the last number...
so the 20th term is 17
Answer:
5,8,6,9,7,10,8,11,9,12,10,13,11,14,12,15,13,16,14,17...
20th term is 17
Step-by-step explanation:
add 3, subtract 2
which is the largest ratio? 5/36, 2:9, 3 to 18, 1:3
Answers
Q(x)=-1/2x-3; q(x)=-4
Help
Answers
Answer:4
Step-by-step explanation:
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
Answers
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8
Answers
Answer:
B, D and E
Step-by-step explanation:
The first triangle inequality theorem states:
the lengths of any two sides of a triangle must add up to more than the length of the third side.
So as long as the sum of the two shortest is greater than the longest side a triangle is possible
А
7 + 9 < 17 NO
B
2 + 7 > 8 YES
C
1 + 3 < 5 NO
D
3 + 5 > 6 YES
E
12 + 12 > 13 YES
F
3 + 8 = 11 NO
f(1) = 4
f(x) = f(x-1) + 3
Find f(2)
Answers
f(2)= f(2-1)+3
f(2)=f(1)+3
solving systems of equations in three variables
Answers
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
the k the term is 1199/1200. What's k.
Answers
Answer:
could I get a picture plz
answer this
help me with this question.
Answers
Answer:
i cant read the handwriting
Step-by-step explanation:
On a coordinate plane,△FGH is formed with the vertices at point F(0,−2), point G(1,0) , and point H(2,−3) . Which expression can be used to determine the perimeter, in units, of△FGH ?
A
(0−1)2+(−2−0)2−−−−−−−−−−−−−−−−√+(1−2)2+(0−(−3))2−−−−−−−−−−−−−−−−−−√+(2−0)2+(−3−(−2))2−−−−−−−−−−−−−−−−−−−√
B
(0−(−2))2+(1−0)2−−−−−−−−−−−−−−−−−−√+(1−0)2+(2−(−3))2−−−−−−−−−−−−−−−−−−√+(2−(−3))2+(0−(−2))2−−−−−−−−−−−−−−−−−−−−−√
C
(0+1)2−(−2+0)2−−−−−−−−−−−−−−−−√−(1+2)2−(0+(−3))2−−−−−−−−−−−−−−−−−−√−(2+0)2−(−3+(−2))2−−−−−−−−−−−−−−−−−−−√
D
(0+(−2))2−(1+0)2−−−−−−−−−−−−−−−−−−√+(1+0)2−(2+(−3))2−−−−−−−−−−−−−−−−−−√+(2+(−3))2−(0+(−2))2−−−−−−−−−−−−−−−−−−−−−√
Answers
Answer:
the answer i think is B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Which of the following is not true about a square?
Answers
Answer:
All its sides are of equal lengths.
and
It has opposite parallel sides.
Step-by-step explanation:
You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft
Answers
help asap please needed
Answers
Answer:
it should be b
Step-by-step explanation:
if wrog please correct me also can u give me brainlist
Answer:
B
Step-by-step explanation:
63 should be your answer
Would appreciate Brainliest
A book of 20 stamps costs $10.20. What is the cost of one postage stamp? A stamp costs cents.
Answers
Answer:
1 stamp = $0.51
Step-by-step explanation:
20 stamps = $10.20
=> 1 stamp = 10.20/20
=> 1 stamp = $0.51
Hoped this helped.
Find the radius of the button.
A circular button with a diameter of 5 centimeters.
Answers
Answer:
r = 2.5 cm
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r = 1/2 (5)
r = 2.5 cm
a. 17 + 6 10=17,6 b. 45 + 6 100 5 c. 3 + + 10 2 100 7 8 d. 6 + + 9 + 10 100 1 000 6 e. 11 + + 10 8 1 000 f. 84 + 1 3 + 100 10
Need help me
Answers
Step-by-step explanation:
a. 17 + 6/10 = (17 x 10) / (1 x 10) + 6/10 = 170/10 + 6/10 = 176/10 = 17,6
b. 45 + 6/100 = (45 x 100) / (1 x 100) + 6/100 = 4 500/100 + 6/100 = 4 506/100 = 45,06
c. 3 + 5/10 + 2/100
= (3 x 100) / (1 x 100) + (5 x 10) / (10 x 10) + 2/100
= 300/100 + 50/100 + 2/100
= 352/100 = 3,52
d. 6 + 7/10 + 8/100 + 9/1 000
= (6 x 1 000) / (1 x 1 000) + (7 x 100) / (10 x 100) + (8 x 10) / (100 x 10) + 9/1 000
= 6 000/1 000 + 700/1 000 + 80/1 000 + 9/1 000
= 6 789/1 000 = 6,789
e. 11 + 6/10 + 8/1 000
= (11 x 1 000) / (1 x 1 000) + (6 x 100) / (10 x 100) + 8/1 000
= 11 000/1 000 + 600/1 000 + 8/1 000
= 11 608/1 000 = 11,608
f. 84 + 1/100 + 3/10
= (84 x 100) / (1 x 100) + 1/100 + (3 x 10) / (10 x 10)
= 8 400/100 + 1/100 + 30/100
= 8 431/100 = 84,31.
Hope this helps!!
the sum of 2 numbers is 99 and their quotient is 8What are the 2 numbers
Answers
Answer:
11 and 88
Step-by-step explanation:
I just set up a system of equations:
x + y = 99,
x/y = 8
I decided to use the method of substitution which is expressing one variable in terms of the other and substituting it into the other equation.
To use substitution, I changed the second equation to:
x = 8y
And then, I substituted that value for x into the first equation:
8y + y = 99
And that means:
9y = 99
Hence, y = 11. To find the second number, just substitute 11 for y in the first equation to get:
x + 11 = 99
And that means x = 88.
Help me with this question.
Answers
Answer:
The equation for the nth term of the arithmetic sequence is:
[tex]a_{n} = a + (n-1)d\\[/tex]
The [tex]a_{30}[/tex] is 140
Step-by-step explanation:
"a" represents the first term which is -5.
"d" represents the common difference which is 5.
To find the common difference, just subtract the 2nd and 1st term.
0 - (-5) = 5
Now put the values in the equation:
[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]
We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.
[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]
So the 30th term is 140
approximate 79.75 to the nearest hundred, ten, whole number, thenth
Answers
Answer: ten - 80(?)
hundred - 100
whole number - 80
tenth - 79.8