Generate the next three terms of each geometric sequence defined below. (in picture)
Answers
Answer:
a) -9, -10, -11
b)24, 36, 54
c)-10, 20, -40
Step-by-step explanation:
-8 - 1 = -9
-9 - 1 = -10
-10 - 1 = -11
a2 = 16 * 3/2 = 24
a3 = 24 * 3/2 = 36
a4 = 36 * 3/2 = 54
f(2) = 5 * -2 = -10
f(3) = -10 * -2 = 20
f(4) = 20 * -2 = -40
The next three terms of each geometric sequence are;
a) -9, -10, -11
b)24, 36, 54
c)-10, 20, -40
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
a) The common difference is;
-8 - 1 = -9
b) The common difference is;
-9 - 1 = -10
c) The common difference is;
-10 - 1 = -11
a2 = 16 * 3/2 = 24
a3 = 24 * 3/2 = 36
a4 = 36 * 3/2 = 54
Therefore, the next terms are;
f(2) = 5 * -2 = -10
f(3) = -10 * -2 = 20
f(4) = 20 * -2 = -40
Learn more about geometric sequence here:
https://brainly.com/question/2735005
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Related Questions
Mass = 10 g
Density = Mass/volume
Volume of a cube = (side length)3
Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.
You may use a calculator for this section.
Measurement1.7 cm
FIRST ANSWER GETS BRAINLIEST
Answers
Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.
First we want to determine the volume.
The volume of a cube, is equal to his cubic side length, where L is the side length:
So
So the volume of the cube is 15.625 cubic centimeters.
Now we want to calculate te density of the material, as you know:
This means that the density is 0.64 grams per cubic centimeter.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1. Determine the value: V=L^3
so, (1.7)^3= 4.913
2. Calculate the density: mass divided by volume
10 divided by 4.913= 2.0
Answer: 2
Which is not Figurative
Answers
Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth
Answers
Answer:
The cashier is wrong
[tex]Amount = 64.99[/tex]
Step-by-step explanation:
Given
[tex]Jeans=34.95[/tex]
[tex]Shirt = 24.95[/tex]
[tex]Sales\ Tax = 8.5\%[/tex]
Solving (a): Is the Cashier's step correct?
The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.
Solving (b):
First, calculate the total cost by adding the cost of jeans and shirt respectively:
[tex]Total = 34.95 + 24.95[/tex]
[tex]Total = 59.90[/tex]
Next, multiply the sales tax percentage to the total cost to get the sales tax amount.
[tex]Sales\ Tax = 8.50\% * 59.90[/tex]
[tex]Sales\ Tax = 5.0915[/tex]
Add the sales tax to the total, this gives the total payable amount.
[tex]Amount = 59.90 + 5.0915[/tex]
[tex]Amount = 64.9915[/tex]
[tex]Amount = 64.99[/tex] approximated
what is 5x98 (x343)=
Answers
Answer:
168,070
Step-by-step explanation:
Multiplication, 5 x 98 = 490. 490 x 343 = 168,070
When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.
Answers
Answer:
8700kg
Step-by-step explanation:
lorry + bricks = 11600kg
bricks = 3(mass of empty lorry)
lorry mass is x
there for bricks = 3x
x+3x = 11600
4x =11600
x= 2900kg
mass of bricks = 3(2900)
=8700kg
Please Help! I'll give Brainliest!
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?
BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC
Answers
Answer:
See attachment
PS:
Can I have Brainliest?
The correct statement is BC equals to AC times CE all over CD.
We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.
Given, DE and AB are parallel
So, [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]
[tex]BC = \frac{AC\times CE}{CD}[/tex]
Therefore in statement form we say that BC equals to AC times CE all over CD.
For more details on proportionality theorem follow the link:
https://brainly.com/question/2078223
write a linear function with f with f (5) = -1 and f (0) = -5
Answers
Answer:
5y = 4x-25
Step-by-step explanation:
Let f(x) be regarded as y
So we have two points
(5,-1) and (0,-5)
We start by finding the slope of the line connecting the two points
m = y2-y1/x2-x1
m = -5+1/0-5 = -4/-5 = 4/5
The general equation of a straight line is;
y = mx + b
where m
is slope and b is the y-intercept
we already have the slope as 4/5
So;
y = 4x/5 + b
To get b, substitute one of the points
Let us use (0,-5)
-5 = 4(0)/5 + b
so b = -5
The equation is;
y = 4x/5 - 5
Multiply through by 5
5y = 4x - 25
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answers
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation:
Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated in the election in all? Round your answer to the nearest whole number.
Answers
Answer:
2067 voters
Step-by-step explanation:
Suppose that three out of five voters support a candidate.
This means 3/5 votes support a candidate
Let the total number rod candidates be represented as x
If 1,240 voters support the candidate,
how many voters participated in the election in all?
Hence,
3/5 of x = 1240 voters.
3/5 × x = 1240
3x /5 = 1240
Cross Multiply
3x = 1240 × 5
x = 1240 × 5/3
x = 2066.6666667 voters
Approximately to the nearest whole number:
2067 voters
will give brainliest
Answers
Answer:
4/3
Step-by-step explanation:
Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. at that point, Ramon eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the geyser
Answers
Answer:
36 ft
Step-by-step explanation:
6/x=7.5/45
270=7.5x
x=36
In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:
[tex]36 ft[/tex]
To use similar triangle theory, we have to make a rule of 3, that is:
[tex]6/x=7.5/45\\270=7.5x\\x=36[/tex]
See more about triangles at brainly.com/question/10951564
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters
Answers
Answer:
523.33 cm³
Step-by-step explanation:
The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³
[tex]\frac{4}{3}[/tex]π * (5)³
[tex]\frac{4}{3}[/tex]π * 125
523.333 mm³
Mrs. stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. how old is Mrs. stone now, if 9 years ago Alex was two times older than Joyce?
Answers
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
Can you please help
Plzzzzzz
Answers
a mixed number is a whole number and a fraction
an improper fraction is when the numerator is greater than the denominator
20 POINTS
PLEASE HELP!
Find the slope of the line that passes through the pair of points.
(4, –4), (6, –4)
Answers
Answer:
0
Step-by-step explanation:
m= -4-(-4)/6-4= 0/2=0
So slope is 0
Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.
3x + 2y = 0
x - 5y = 17
Answers
1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2
Answers
Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation:
At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?
Answers
Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
The person who answered above made a mistake and went the wrong way.
Since the pool is already 20% off the price stated is only 80% (100-20=80) of the original price.
So, divide amount by 80.
168/80 = 2.10
Then multiply by 100 to find 100% price
2.10 x 100 = 210
Answer is $210
A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Represent this situation with a fraction.
a. Represent this situation using the same units.
b. Estimate the quotient.
c. Express the divisor as a whole number.
d. Use the division algorithm to find the quotient.
e. Use multiplication to check your work
Answers
Answer:
The correct answers are:
a) 3625.26 miles OVER 6.9 miles
b) 36252.6 tenths miles÷ 69 tenths hours
c) 3500 miles over 7 hours = 500 miles over hours
d) 3625.26 miles 10 over 6.9 hours 10 = 36252.6 miles over 69 hours
e) 525.4 miles/h
Step-by-step explanation:
Brainliest please?
Let r = unit rate of the plane
r = (3,625.26 miles)/(6.9 hours)
You now have the correct fraction set up to answer a through e.
Take it from here.
Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?
Answers
Answer:
$ 3.39
Step-by-step explanation:
X = 45 - (13.87*3)
x = 45 - 41.61
x = 3.39
may someone plz answer this
Answers
Answer:
At least 2 weeks
Step-by-step explanation: You divide until you reach 200
CAN SOMEONE PLEAEE HELP ????!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
I don't know if I'm correct but the answer is 6.
Step-by-step explanation:
I'm not 100% correct, but you set the other two angles to add to each other then set it equal to angle QRS and i got x=6.
Your equation should be like this: 3x + 17 + 2x +21 = 10x -1
than you solve form there
I;m not sure that this is the correct answer and maybe i'm wrong, but hope this helps
Answer:
59°
Step-by-step explanation:
According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]
So, by exterior angle property of a triangle, we have:
[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\
(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\
(10x - 1)\degree = (3x +17+2x +12)\degree\\\\
(10x - 1)\degree = (5x +29)\degree\\\\
(10x - 1)= (5x +29)\\\\
10x - 5x = 29 + 1\\\\
5x = 30\\\\
x = \frac{30}{5}\\\\
x = 6\\\\
\because m\angle QRS = (10x - 1)\degree \\\\
\therefore m\angle QRS = (10\times 6- 1)\degree \\\\
\therefore m\angle QRS = (60- 1)\degree \\\\
\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\
[/tex]
Dany has a business selling bracelets for 7.50 each. She only has enough material to make 5 bracelets. If x represents the number of bracelets sold and y represents the total cost, what is the range for this situation.
Answers
Answer:
The range is [0,37.5]
Step-by-step explanation:
We start by writing the equation that links x and y
From the question;
y = 7.5x
Now, she has enough material to make 5 only
When we talk of range, we are referring to the values on the y-axis
So the lowest y value is 0
and since the highest number of bracelets is 5;
The total cost of the 5 is 7.5(5) = 37.5
So the range is [0,37.5]
What is the area of a circle with 22 diameter
Answers
Answer:
380.13
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
Can you help me with question 4 pls
Answers
The lunch special at a diner offers you a choice of 5 sandwiches, 2 salads, 3 soups, 6 drinks, and 2 desserts. How many different meals are possible if you choose one item from each category?
Answers
Answer:
360
Step-by-step explanation:
there are 360 different meal combos possible if you choose 1 of each because 5×2×3×6×2 is 360
8x – 12y = 48
Find the x-intercept and y-intercept
Answers
Answer:
my answer came out to x = 6 + 1.5y
Step-by-step explanation:
Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....
Answers
Answer:
26, 18, -1, -25
Step-by-step explanation:
for easier understanding just draw a number line with integers for easier clarification.
... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...
26,18,-1,-25 is the answer from greater to least
I will mark brainlist and 5 stars. Help please :))
Answers
Answer:
the answer to that question is D
Answer:
its C
Step-by-step explanation:
-3(x+5) - (2x+3) equals
Answers
-5x,-18
i hope im right im not quite sure bout this one