What is a formula for the nth term of the given sequence? 48, 72, 108
Answer:
[tex]a_n=48*1.5^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
[tex]r=\frac{72}{48}=1.5[/tex]
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
[tex]a_n=a_1*r^{n-1}[/tex]
Where a1=48 and r=1.5
[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]
For example, to find the 5th term:
[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]
What’s given?, what’s something else we can figure out?, Can we prove these congruent?
Answer: TnT down
Step-by-step explanation:
What's given?
EG ≅ FG
∟EFG ≅ ∟FGH
What's something else we can figure out?
∠FGE ≅ ∠GFH - alternate interior angles
Can we prove these congruent?
We can prove this congruent by using AAS
Geez I think I'm losing my touch but I hope this is correct and it helped!
please help find them
1 AB
2 BC
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )
Anyone able to help ?
Answer:
Step-by-step explanation:
Infinity solutions
I need help I don’t get it
You need to show the question to get the answer. All you can see is the lines...
if you increase an amount by 3 percent what is the single multiplyer
Answer:
1.03% is the answer
Step-by-step explanation:
write the equation of a line that has a m= -5 and passes through the point (-1,4)
write a paragraph describing the steps taken to find the linear equation and include the answer the the question in your response.
at least 6 sentences plz
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation:
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
Answer:D is the answer
Step-by-step explanation:
the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with
Answer:
it started off with 7 members
(read the whole explanation)
Step-by-step explanation:
Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.
If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,
hope this helps!!!!
Work out the percentage change when a price of £40 is decreased to £18.
A 16-ounce bag of cereal costs about $2.88. What is the unit rade of the cereal?
Answer:
18 cents per ounce
Step-by-step explanation:
The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.
To find the price of one ounce, just divide your price of $2.88 by 16.
Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.
¿Qué es una semirrecta numérica?
Answer:
La respuesta está abajo
Step-by-step explanation:
Un rayo numérico es una línea con un extremo. Un rayo comienza en un punto dado y se va en una dirección determinada para siempre, hasta el infinito. El punto donde comienza el rayo se llama el punto final.
por favor marca me brainliest con la corona
I need help with this question
Monique and Roger will go skiing only if the temperature drops by 5 degrees Celsius. Currently, the temperature is 3 degrees Celsius. Which of the following shows how cold it must be, in degrees Celsius, for them to go skiing?
A.
3 - 5 = 3 - (+5) = 8
B.
3 - 5 = -(3 + 5) = -8
C.
3 - 5 = 3 + (-5) = -2
D.
3 - 5 = 5 - 3 = 2
PLS HEEELP!! I need this answerd as quick as possible
Answer:
i think its the 2nd one
Step-by-step explanation:
Answer:
What is the file? I don't know what the file is because they dont work for me.
Step-by-step explanation:
what is the vertical asymptote of f(x)= 7/ x + 5
Answer:
Vertical Asymptotes: x=-5
Horizontal Asymptotes: y=7
.
What is (4x2-9X+1) -(5x2-x-7) written in standard form?
Answer:
(9-9x) - (3-x)
Step-by-step explanation:
(4x2 -9x +1) - (5x2 -x -7)
4x2+1= 9. 5x2-7= 3
(9-9x) - ( 3-x)
Find the sum of the squares of 3, 2, 1, and -1
Answer:
15
Step-by-step explanation:
3 x 3=9
2 x 2=4
1x1=1
-1x-1=1
9+4+1+1=15
Answer:
15
Step-by-step explanation:
The square of 3 is 3 times 3, so 9.
2 times 2 is 4.
1 times 1 is 1.
-1 times -1 is 1, because the negative cancels out.
So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.
70.50 - 52.01 - 0.22 =
Help I got it wrong and I dont know how to do the problem
Answer:
18.27
Step-by-step explanation:
70.50-52.01- 0.22
18.49-0.22
18.27
Which of the tables represents a function? (5 points) Table A: Input 3 3 2 Output 1 4 3 Table B: Input 2 5 2 Output 7 6 9 Table C: Input 1 7 7Output 5 2 3 Table D: Input 3 1 8Output 4 5 5 a. Table A b. Table B c. Table C d. Table D
Answer:
The answer is Table B. Because only table B. doesn't have repeating x or domain.
Зу – х = -5
-7х + 4 = –18
Solve each system of equation using elimination
Answer:
(1)xy=-5-3
-8ans
Step-by-step explanation:
(2) -3x =-18
-15ans
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°
Answer:
14
Step-by-step explanation:
5x-3+ x+9 + 90= 180
6x+ 96=180
6x=180-96
6x=84
x=84/6
x=14
A watch was on sale for 70% off. The sale price is $60. What was the original price?
Answer:
78 dollars
Step-by-step explanation:
square root of 9 multiplied by square root of 180
Answer:
18√5
Step-by-step explanation:
√9×√180
from √9 we get 3 cause 3² is 9.
from 180 we get 6√5 because √36×5 is √180.
we took 36 out because it gives us a whole number if we square root it.
So √36×5 is 6√5 , because the square root of 36 is 6
then we multiply 3 and 6√5.
3×6 is 18 so we put 18 and put the √5 behind it.
The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line
Answer:
1
3
130
Step-by-step explanation:
as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1
using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.
13/1=39/x
this is 13x=39
x=3 seconds
use the same ratio to find distance
13/1=x/10
13=x/10
130=x
the price of a toy usually costing £50 is increased to £65.
Answer:
I am assuming you want the percentage increase in the price.
Step-by-step explanation:
The percentage increase is ( 15/50) * 100
= 15 * 2
= 30%.
please help it is due at 4:15
Answer:
$2720
Step-by-step explanation:
Interest = P×R×T /100
= 2000×12×3 /100
=72000/100 = $720
Amount = Principal + Interest
= $2000+$720 =$2720
The family's covered wagon was 6.5 feet wide, 12 feet long,
and 3.5 feet high. What is the volume of the wagon?
Answer:
V=273
Step-by-step explanation:
V=L*W*H
V=12*6.5*3.5
V=273
Can yall find EB? Round the the nearest hundred. AD=8.98, AB=6.47. ABCD is a rectangle
Answer:
5.53408980773 or 5.534
Step-by-step explanation:
Let's take AD as a, AB as b and DB as c
a2+b2 =c2
(8.98)2 + (6.47) 2 =c2
80.6404 + 41.8609 =c2
The number 2 is square . take it like square
122.5049 =c2
[tex] \sqrt{c \: \: } = \sqrt{122.5049 } [/tex]
C=11.0681796155
this valse is DB but the question say EB so dividend by 2 because rectangle diagonal are equal
So EB =11.0681796155/2
EB =5.5340890773
7207689984 !!!!!!!!!!!!!!
Answer:
838494393928262829292928288!!!!!!!!!!!!!!!$