Note the rule
[tex]\boxed{\sf a_n=ar^{n-1}}[/tex]
Now
[tex]\\ \tt\longmapsto a_2=3(-1/2)^{2-1}=3(-1/2)=-3/2[/tex]
[tex]\\ \tt\longmapsto a_3=3(-1/2)^{3-1}=3(-1/2)^2=-3/4[/tex]
[tex]\\ \tt\longmapsto a_4=3(-1/2)^{4-1}=3(-1/2)^3=-3/8[/tex]
[tex]\\ \tt\longmapsto a_5=3(-1/2)^{5-1}=3(-1/2)^4=-3/16[/tex]
13. Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 6 hours. Chris
can paint the same house in 5 hours. The three working together can paint the house
in 2 hours. How many hours does it take Lexi to paint the house?
Answer:
13
Step-by-step explanation:
❤️❤️❤️❤️❤️
4xy + 10yᒾ
Tui mún hỏii
Answer:
4xy+10y²=2y(2x+5y)
Hope it helps!!!
Tres socios tienen que repartirse 3000 dólares de beneficios. ¿Cuánto le tocará a cada uno, si el primero tiene que recibir 3 veces más que el segundo y el tercero dos veces más que el primero? Siendo el segundo representado con la letra x.
Answer:
Abrazos
Step-by-step explanation:
segundo = x
primero = (3*)segundo
tercero = (2*)primero
tercero = 2 * 3 = (6*)segundo
6x + 3x + x = 3000
10x = 3000
x = 300
segundo = 300
primero = 300 * 3 = 900
tercero = 300 * 6 = 1800
checando: 1800 + 900 + 300 = 3000
The perimeter of a rectangle is 260 meters. The length is 50 meters greater than the width. Find the dimensions of the rectangle.
length:
width:
Answer:
Hold on, our servers are swamped. Wait for your answer to fully load.
Step-by-step explanation:
Hold on, our servers are swamped. Wait for your answer to fully load.
What is the area, in square feet, of a bedroom with l = 912 feet and w = 1114 feet?
Answer:
The area is 1,015,968
Step-by-step explanation:
Answer:
1,015,968 (otherwise known as a ridiculously large bedroom lol)
Step-by-step explanation:
912 x 1114 = 1,015,968
Do it on any calculator and it will give you the same thing
I don't know if this was a typo because again that is a ridiculously large bedroom so if it is lemme know and I'll edit my answer
HELP!!
how do we find x
every side is different
Answer:
45degres
Step-by-step explanation:
Answer:
55+45+X=180
X=180-100
X=80
Step-by-step explanation:
Add
Inverse the sum of 55 and 45
Then subtract
I will 10 points pls anwser correct
Answer:
1.5 if you Evaluate and in fraction form [tex]\frac{15}{10}[/tex]
4(w+3)-7w=24 solve for w.
Answer:
w= -4
Step-by-step explanation:
Distribute to get 4w+12-7w=24
then combine like terms
-3w+12=24
isolate the variable (minus 12)
-3w=12
w= -4
need help asap!!!
(Question:What is 2/3 divided by 4/5?
(Options: 2/3, 5/6, 1 1/5, 3 1/3
Answer:
5/6
Step-by-step explanation:
Write in terms of inequalities: (-13,4]
9514 1404 393
Answer:
-13 < x ≤ 4
Step-by-step explanation:
The round bracket means the lower limit is not included in the interval. The square bracket means the upper limit is included.
-13 < x ≤ 4
5 ( 3 - x ) < -2x + 6
inequality form: x>3
interval form: (3,infinity)
Step-by-step explanation:
Answer:
x>3
Step-by-step explanation:
a rectangle prism has a length of 5 cm, a width of 2.25cm, and a height of 0.5 cm, what is the surface area of the rectangular prisim?
Answer:
SA = 29.75 cm^2
Anyone know the answer?
Answer:
41
Step-by-step explanation:
Since it is only being reflected, the letters would match up with their primes and still equal the same amount for the sides. Since B'C' is 41, it would mean that BC is 41 too
LCD of 3/5x^4 and 2/7x^3
Answer:
31/35x^7
Step-by-step explanation:
3/5x^4 +2/7x^3
you find the lcm of the denominators
21/35x^7 + ,10/35x^7 =31/35x^7
A grocery store sells a six pack of bottled water for $3.79, a 9 pack for $4.50, and a 12 pack for $6.98 which package cost the least per bottle explain your reasoning
Answer:
The six pack of water is the best deal.
Step-by-step explanation:
Divide the number of water bottles per pack by the cost of the pack.
$1.58 per bottle for the six pack.
$2 per bottle for the nine pack.
$1.72 per bottle for the 12 pack.
Solve and graph inequality
Answer:
x ≥ 3 and x ≤ -3 See below
Step-by-step explanation:
| x | ≥ 3
Case I Case II
x ≥ 3 -(x) ≥ 3
-x ≥ 3 multiply by -1 and change the inequality
x ≤ -3
The graph:
Graph ≤ or ≥ the closed circle at the endpoint.
x ≥ 3 closed circle at point 3 and shade to the right .
x ≤ -3 closed circle at -3 and shade to the left.
What are the x and y-intercepts of the line described by the equation?
2x+4y=12.4
Question 2 options:
x-intercept = -6.2
y-intercept = -3.1
x-intercept = -3.1
y-intercept = -6.2
x-intercept = 6.2
y-intercept = 3.1
x-intercept = 3.1
y-intercept = 6.2
Please help
Write an equation that describes the nth term of the arithmetic sequence –2, –1.5, –1, –0.5, 0, 0.5, ….
Answer:
[tex]a_{n}[/tex] = 0.5n - 2.5
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 2 and d = a₂ - a₁ = - 1.5 - (- 2) = - 1.5 + 2 = 0.5 , then
[tex]a_{n}[/tex] = - 2 + 0.5(n - 1) = - 2 + 0.5n - 0.5 = 0.5n - 2.5 ← explicit equation
Somebody help (no links please) this is stressing me rn cause this assignment is almost due.
Step-by-step explanation:
11)
d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2
=√1+49=√50=7.07 approximately
12)
M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)
Which of the following is true?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is A :
RT is an altitude of Triangle QRSAnswer:
A, because ∆ QRS isn't a right angled triangle unlike the other choices and its height is in the middle,the rest of the choices are right angled and the line segments in the choice are all their hypotenuse,and the hypotenuse of a triangle isn't it's height
Find the angle
25 points plus a thanks, 5 star and brainliest
Answer:
[tex]x = 56.02 \degree[/tex]
Step-by-step explanation:
To find the angle you have to use sin rule
[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]
Let the unknown angle be x
[tex] \sin(x) = \frac{o}{h} \\ \sin(x) = \frac{34}{41} \\ \sin(x) = 0.8292 \\ x = \sin ^{ - 1} 0.8292 \\ x = 56.02 \degree[/tex]
Hope this helps you
Let me know if you have any other questions :-):-)
If there are four black kittens and two orange kittens, suppose each section of the tape diagram represents 2 kittens rather than one kitten. Will that change the comparisons in parts A and B? Why or why not?
Plz help it’s my last question for now
Answer:
no, you're just simplifying the fraction.
Step-by-step explanation:
4/6=2/3
find an number that is 16 less than twice a number is decrease is 84
Answer:
50
Step-by-step explanation:
find a number that is 16 less than twice a number is decrease is 84
so if i get this right it is:
84 = 2x-16?
if so we do the following:
84+16 = 2x (Move the variables to one side and the numbers to the other)
100 = 2x (simplify)
50 = x (divide each side)
Need help with this ASAP!!
Answer:
64
Step-by-step explanation:
40x1.6
so i'm doing pre-algerbra and i'm doing whole numbers-dividing. and the directions says "divide. check your work by multiplying" and the first problem is 63 divide by 7 but how do i check it by multiplying? help me pls im getting so frustrated.
The function h(t)=400-16t^2 gives the height of the supply bundle (in feet) t seconds after it is dropped from a height of 400 feet.
a. Find the derivative of this function at the point (3,256).
b. What does your answer tell you about the speed at which the supply bundle is falling?
Answer:
i think its A i may be wrong
The answers are :
a) The derivative of this function at the point (3,256) is -96.
b) The speed at which the supply bundle is falling is negative.
What is derivative ?
Derivative is the slope of the graph of function or the slope of the tangent line at a point.
A function is given which is h(t) = 400 - 16t².
Here , h(t) gives the height of the supply bundle in feet , t seconds after it is dropped from a height of 400 feet.
a)
We have to find out the derivative of the given function at a point (3,256).
h'(t) = [tex]\frac{d}{dt}[/tex] (400 - 16t²)
h'(t) = 0 - 2 × 16 × t
h'(t) = -32 t
This function at (3,256) so , value of t is 3.
h'(t) = -32 × 3
h'(t) = -96
b)
Speed = -32 t
So , the speed at which the supply bundle is falling is negative. With increase in value of t it will keep decreasing.
Therefore , the answers are :
a) The derivative of this function at the point (3,256) is -96.
b) The speed at which the supply bundle is falling is negative.
Learn more about derivative here :
https://brainly.com/question/28527987
#SPJ2
(2a-b) * (a-2b)
(4x - 2) * (x -4)
Q: (2a-b) * (a-2b)
[tex](2−)(−2)[/tex]
[tex]2(−2)+(−2)(−)[/tex]
[tex]22−4+(−2)(−)[/tex]
[tex]22−4−(−2)⋅[/tex]
[tex]22−4+22−⋅[/tex]
Q: (4x - 2) * (x -4)
[tex](4−2)(−4)[/tex]
[tex]4(−4)−2(−4)[/tex]
[tex]42−16−2(−4)[/tex]
[tex]42−16−2+8[/tex]
[tex]42−16−2+8[/tex]
[tex]42−18+8[/tex]
[tex]42−18+8[/tex]
Hope its help you !!
URGENT!!
Please divide this polynomial
i used polynomial division.. i hope this helps :)
Answer:
ANSWER IS IN THE ATTACHMENT!!Step-by-step explanation:
HOPE IT HELPS YOU!!Question no.8
Plz heeeeelp
The exterior angle of each polygon and the adjacent interior angle are
supplementary.
(a) 72° (b) [tex]\displaystyle 51 \frac{3}{7} ^{\circ}[/tex] (c) 36° (d) 20° (e) 18°
Reasons:
The formula for the exterior angle of a regular polygon is, [tex]\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}[/tex]
Where;
θ = The exterior angle of the polygon
n = The number of sides of the regular polygon
(a) The number of sides in a pentagon, n = 5 sides
Therefore, for a regular pentagon, we have;
[tex]Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}[/tex]
The measure of the exterior angle of a pentagon, is 72°
(b) An heptagon has n = 7 sides
The measure of the exterior angle, θ, of a regular heptagon is therefore;
[tex]Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}[/tex]
(c) A decagon has n = 10 sides, which gives;
[tex]The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}[/tex]
(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;
[tex]The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}[/tex]
(e) A regular 20-gon has n = 20 sides
The exterior angle of a regular 20-gon is [tex]\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}[/tex]
Learn more about the angles of a polygon here:
https://brainly.com/question/12871621
I need help with this :(please
Answer:
e Are you need me?you write l donot know.