Write an explicit and recursive rule for the geometric sequence -5, 10, -20, 40… and use it to find the 12th
Answer:
See solutions below
Step-by-step explanation:
Given the sequence -5, 10, -20, 40...
The nth term of the GP is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
n is the number of terms
From the sequence, a = -5
r = 10/-5 = -20/10 = -2
Substitute
Tn = -5(-2)^n-1
This gives the explicit formula
For recursive;
a1 = -5
a2 = 10 = -2(-5) = -2a1
a3 = -20 = -2(10) = -2a2
From the shown sequence, we can see that;
an = -2an-1
This gives the recursive formula
Get the 12th term;
Using the explicit formula
T12 = -5(-2)^12-1
T12 = -5(-2)^11
T12 = -5(-2048)
T12 = 10240
Hence the 12th term is 10240
Calculate the amount of work done if you use a 150N force to push a 50kg box 5m across the kitchen floor.
Answer:
750 J
Step-by-step explanation:
Find the maeasure of the exterior angle in the figure
Answer:
the answer would be 5b as the exterior angle is subdivided with the co efficient
Step-by-step explanation:
in estimating the body temperature of a person, what difficulties did you encounter?Explain
Answer:
In general , While estimating a bodies temperature that temperature is not the same for long, the temperature of the body is not at homeostasis, the temperature constantly has bumps and drops in the temperature this causes in accuracy thats why the thermometer takes 10-20 seconds because it takes the average of all the temperature's so it is accurate, that is a difficulty when estimating temperature because estimates are not good and the temperature keeps having ups and downs.
Write a system of linear inequalities so the points,(1,2) and (4,-3) are solutions of the system, but the point (-2,8) is not a solution of the system.
Answer:
The sample system is:
y < 5y > x - 8see the attached
The points (1, 2) and (4, -3) are in the intersected region but the point (-2, 8) is outside
Find the distance between (2, 8) and (−6, 2).
The distance is ( ) units.
Answer:
✓100 = 10
Step-by-step explanation:
2= x1
8= x2
-6= y1
2= y2
Then you apply your distance formula to solve.
Hope it helps
1. Um prêmio em dinheiro foi dividido entre 3
pessoas: a primeira recebeu 1/4 do valor do
prêmio a segunda recebeu 1/3 e a terceira
ganhou R$ 1000,00. Então, o valor desse prêmio,
em reais, era de:
a) 2400,00
b) 2200,00
c) 2100,00
d) 1800,00
f(x)= 10x find the inverse of the function
Can anyone help me with this question?
Factor completely
x^2 - 8x + 16
Answer:
(x - 4)^2
Step-by-step explanation:
PLZZZZZ HELP ME!
It’s math btw
Answer:
1. 9/10
2. 15/16
4. 3/5
5. 3/5
Step-by-step explanation:
1. 7/10 + 2/10 = 9/10
2. 13/16 + 2/16 = 15/16
4. 7/15 + 2/15 = 9/15 = 3/5
5. 9/20 + 3/20 = 12/20 = 3/5
Answer: 1 r1 for second
Step-by-step explanation: 13/16+2/16=15/16 divide 15/16 gets 1 r1
I didn't mean to click an answer but please help me out
Answer:
135
Step-by-step explanation:
135+45=180, and supplementary angles always equal 180
Answer:
The answer is 135
Step-by-step explanation:
Definition of supplementary angles: either of two angles whose sum is 180°, so 180 - 45 = 135!
Please mark as brainliest.
Cual es el 5% de 80?
The product of two numbers is 4 2/9, if one of the number is 38, find the number
Answer:
let x and y be the two number then according to question ,
xy=4 2/9
or, xy= 38/9
if one of the number is 38 then,
38x=38/9
or, x= 1/9 is the correct ans.
PLEASE HELP 50 POINTS Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
it -16.3
Step-by-step explanation:
Answer:
Answer:
Option 2nd , 4th and 6th correct2,4 and 6
Step-by-step explanation:
Like terms are those terms which have same variable to the same power.
Combine like terms
Simplify:
Therefore, the term can be combined in the given expression is,
2, 4 and 6Barinliest?Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3
Step-by-step explanation:
4/7÷21/3
=4/7*3/21
=12/147
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex] ← change mixed number to improper fraction
= [tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]
To perform the division
Leave the first fraction. change division to multiplication and turn the second fraction upside down.
= [tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] ← multiply numerators/ denominators together
= [tex]\frac{4(3)}{7(7)}[/tex]
= [tex]\frac{12}{49}[/tex]
ANSWER QUICKKK
HELP !!!!! i
Answer:
its B
Step-by-step explanation:
the original pattern for dress is 33 3/4 inches long. kimmy needs her dress to be 32 1/2 inches long how much shorter than the pattern does kimmy need to make her dress
Answer: 1 1/4
Step-by-step explanation: 32 1/2 is the same as 32 2/4 so all you have to do is subtract 32 2/4 from 33 3/4 which leaves you with 1 1/4
33 1/3 % of what number is21?
Answer:
33 1/3% of 21 is 63.64$ or rounded to the nearest whole number it is 64%
Step-by-step explanation:
I just solved
If three points are coplanar, they must be collinear. Since the answer is false, state a counterexample.
Answer:
Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar
Step-by-step explanation:
Answer:
They could be on different lines or on no line, but in the same plane.
Step-by-step explanation:
Hope This Helps!!
(brainliest please, if possible)
find the value and add them together
Huey is reading a book that is 697 pages long.
He tells a friend that he is about 3/4 of the way done.
About how many more pages must Huey read before he finishes the book?
Answer:
700 books huey finish he your answer
Answer:
175 pages
Step-by-step explanation:
Answer:
. 175
Step-by-step explanation:
There are 2 ways that we can find the answer to this question:
1. Take 1/4 of 697
2. Take 3/4 of 697 and minus the product from 697.
Let's do it both ways:
If we are doing it the first way it would look like this:
(1/4)(697) = 175
Note that we get 1/4 because Huey already read 3/4 of the book so he has 1/4 left.
The second way would look like this:
(3/4)(697) = 523
679 - 523 = 174 (roughly 175)
Therefore, the answer to your question would be . 175. pls mark brainliest
someone help me with this answer please !!
Answer:
-27
Step-by-step explanation:
HELP PLEASE!
The initial population of Rochester is 17,500 and is
projected to grow at a rate of 4.5% perdecade.
Write an expression for the projected population
of Rochester after “n” decades.
Answer:
Step-by-step explanation:
I still...really don't know
Find the slope of the line passing through the points (-7, 4) & (-7, -8)
Answer:
Undefined
Step-by-step explanation:
The equation for finding the slope is:
y2 - y1
------------
x2 - x1
--------------------------------------------------------------------------------------------------------
4 - (-8)
----------
-7 - (-7)
-----------------------------------------------------------------------------------------------------------
4 + 8
--------
-7 +7
---------------------------------------------------------------------------------------------------------
12
----
0
---------------------------------------------------------------------------------------------------------
The slope is Undefined, so there is no answer
PLS helpp
ill give brainliest
what is the center of the circle?
(-5,-9)
(-4,-7)
(-6,-5)
(-5,-6)
Answer:
1000000066756355688777
what iis the answer to this question
1/5x40
Answer:
8
Step-by-step explanation:
Answer:
1/5 x 40 = 8
(Hope this helps! Btw, I am the first to answer.)
The Hiking Club is on a trip to hike up a mountain. The members increased their elevation 290 feet during their hike
this morning. Now they are at an elevation of 450 feet.
a. Explain how to find their elevation before the hike.
b. Han says the equation e + 290 = 450 describes the situation.
What does the variable e represent?
C. Han says that he can rewrite his equation as
e = 450 + -290 to solve for e. Compare Han's strategy to your
strategy for finding the beginning elevation.
Answer:
Step-by-step explanation:
A. Subtract 290 from 450, 450-290= 160
B. The variable e represents the elevation before they started the hike
C. 450+-290= 450-290
The requried elevation before the hike is given as 160 feet and the required equation model of the situation is e + 290 = 450 where e represents the elevation before the hike.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
a. To find the members' elevation before the hike, we can subtract the increase in elevation from their current elevation. So, their elevation before the hike would be 450 - 290 = 160 feet.
b. In the equation e + 290 = 450, the variable "e" represents the members' elevation before the hike.
c. Han's strategy for finding the beginning elevation involves adding -290 to both sides of the equation e + 290 = 450 to get e = 450 + -290. This is equivalent to subtracting 290 from both sides of the equation e + 290 = 450. Both strategies result in the same equation, e = 160, which tells us that the members' elevation before the hike was 160 feet.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ5
hellppp fast plzzzzzz
Answer:
49? I think
Step-by-step explanation:
The square table top has an area of 369 square
inches. The length of one side of the table top is
between which two measurements?
Answer:
19 in. and 20 in.
Step-by-step explanation:
18^2 = 18 * 18 = 324
19^2 = 19 * 19 = 361
20^2 = 20 * 20 = 400
369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.
Answer:
19 in. and 20 in.
Step-by-step explanation:
18^2 = 18 * 18 = 324
19^2 = 19 * 19 = 361
20^2 = 20 * 20 = 400
369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.