Use the formula an = aj(r)a- to write a formula for the geometric sequence below.
3, 6, 12, 24, 48, ...
Answer:
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2 , thus
[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]
The function y = -16t+ 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer: The water fountain shoots water from a height of 6 ft.
Step-by-step explanation: When looking at a Quadratic Function on a graph it looks like a U (this one would be a upside down U). The top of that U is the Vertex. (keep in mind the question revolves around the X-Intersect)
A water droplet reaches its maximum height after 6 s IS WRONG
Talking about the VERTEX
It takes 6 s for a water droplet to rise and fall back to the ground IS WRONG
This is talking about the WHOLE Parabola
A water droplet reaches a maximum height of 6 ft. IS WRONG
This is also talking about the VERTEX
Write the numbers from greatest to least. -2.1, -15/6, -12/3,-2.2
Answer:
-2.1, -2.2, -15/6, -12/3
Step-by-step explanation:
Answer:
-2.1, -2.2, -15/6, -12/3
Step-by-step explanation:
find the decimal answers for -15/6 and -12/3 which are -2.5 and -4. Then organize from greatest to least.
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
A.-4
B.-2
C. -1
D. 1
PLEASE HELP!!
Does anyone know how to answer this question correctly
12 Which numbers are irrational? Choose all that apply.
A √ 26
B 5.87
C √ 144
D 2.161161116...
E 2/3
1/2 1/7 2/5 in mixed number simplified
Answer:
They are all in simplest form. Is that what you mean?
please help fast! i will give brainliest
Answer:
0.39
Step-by-step explanation:
Answer:
1.87
Step-by-step explanation:
Fiona is going to the grocery store for watermelons and pineapples. Watermelons cost $7 each and pineapples cost $4 each. Fiona has a total of $30 to spend. Use the equation 7w + 4p = 30 to answer the question below. If Fiona buys 3 watermelons, what is the maximum number of pineapples she can buy?
Answer:
The maximum number of pineapples Fiona can buy is 2.
Step-by-step explanation:
If Fiona buys 3 watermelons, thats 7 x 3 = 21. Then, (total amount of money) 30 - 21 = 9. To find how many pineapples she can buy, see how many times 4 goes into 9 (which is 2). Hope this helps!
Answer:
9.
Step-by-step explanation:
7x3=21, 30-21=9
HELP!!
Are triangles RST and RDC congruent?
A. Yes by AA
B. Yes by SSS
C. Yes by SAS
D. They are not similar
Answer: D
Step-by-step explanation: I did that exact same thing!!
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-2/6
Step-by-step explanation:
rise/run
or
how much you go up/how much you go to the side
the line is going to the left making it negative
Mr.Brown paid $754.40 for four plane tickets.How much did each plane ticket cost?
Answer:
188.60
each plane ticket cost 188.6
Step-by-step explanation:
754.40 divided by 4 =188.6
Answer:
188.60
Step-by-step explanation:
754.40÷4=188.60
Find the 62nd term of the arithmetic sequence -27, -21, -15
The 62nd term of the arithmetic sequence -27, -21, -15 is 339
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn =a+(n-1)d
Given the sequence -27, -21, -15
a is the first term = -27
d is the common difference = -21 + 27 = 6
n = 62
Substitute
T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)
T62 = -27 + 366
T62 = 339
Hence the 62nd term of the arithmetic sequence -27, -21, -15 is 339
Learn more on sequence here: https://brainly.com/question/6561461
#SPJ2
imnogay i promise please forgive me
Answer:The distance between -2, and 8 is 10
The distance between 4 and 1 is 3
Step-by-step explanation:
Choose the scenario below that matches this number sentence:
27 ÷ 5
A) 27 people share 5 bags of chips.
B) 5 people share 27 brownies.
Step-by-step explanation:
B 27 bags of chips by 5 people
Answer:
B) 5 people share 27 brownies.
Step-by-step explanation:
This is the answer because:
1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.
Hope this helps! :D
WILL GIVE BRAINLIEST : Please calculate the following:
How many jelly beans fit in a one quart jar?
How many chips are in a batch of chocolate chip cookies?
Write out your calculations.
Answer:
804, the second one depends how many chips the chocolate chip cookies have in each
Step-by-step explanation:
Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
What should Liam do for his next step?
A. Place the point of the compass on point A and draw any arc above it.
B. Use the straightedge to draw a horizontal line that contains point E.
C. Use a straightedge to draw AE¯¯¯¯¯.
D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
Answer:
Step-by-step explanation:
B
Answer:
The correct answer is D.D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
Step-by-step explanation:
You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.
Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc
I hope this helps!
can you name some of the respectful disagreement skills
Answer: Listen to what the other person has to say, try to see from other perspectives, don't show anger or other person won't listen to what you have to say.
Step-by-step explanation:
Answer:
no sorry
Step-by-step explanation:
Old Man Withers just died. He left his collection of baseball cards to his two sons. Bill got 55% of the collection and his brother Bob received the rest.
How many cards did Bill receive if Bob received
360 cards, then how many cards did Bill as inheritance from his father?
Answer:
Step-by-step explanation:
Bill = 55% of the entire collection
Bob = 45% of the entire collection (Since we know 100 - 55 = 45)
We are also told that Bob received 360 cards.
This means that 45% = 360 cards.
First step is to find how many cards is 1%. To do this, divide 360 by 45.
1% of entire collection = [tex]\frac{360}{45} = 8[/tex] cards
This means that since Bill gets 55% of the entire collection, you multiply 8 by 55.
Bill = 8 x 55 = 440 cards.
Answer:
440
Step-by-step explanation:
Which describes the slope of the given line?
A. Zero
B. Unidentified
C. Negative
D. Positive
Answer:
Option C (Negative)
Step-by-step explanation:
A line with a negative slope goes downward from the left side of the graph to the right side.
A positive line would be the opposite; the line goes upward form left to right.
A horizontal line has zero slope. A vertical line has undefined slope.
The given line has the line going downward.
Option C should be the correct answer.
Hope this helps.
Answer:
C. Negative
Step-by-step explanation:
the line moves from left to right(it's going down) meaning it has a negative slope.
I hope this helps! :)
Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3300, and the average first-year commission for each new account opened is $5100. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar. Profit = (New Accounts Opened × $ 5100 ) – $ 3300 What type of random variable is the number of new accounts opened
Answer:
1) The equation for computing Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
2) The number of new accounts is a continuous random variable
Step-by-step explanation:
1) The number of individuals that attend each of Gustin's seminar = 25 individuals
The cost of each seminar = $3,300
On average the commission on the first-year for each opened account = $5,100
The probability of opening an account by an attendee of each seminar = 0.01
The profit = Revenue - The cost of each seminar
The revenue = (The number of Newly Opened Accounts) × (Commission on each account)
∴ The revenue = (The number of Newly Opened Accounts) × $5100
Therefore, the equation for finding Gustin's profit per seminar is given as follows;
The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost
The profit = (The number of Newly Opened Accounts) × $5100 - $3,300
The number of Newly Opened Accounts = (The number of attendee) × (The probability of an attendee opening an account)
The number of Newly Opened Accounts = 25 × 0.01 = 0.25
The number of Newly Opened Accounts = 0.25
The profit = 0.25 × $5100 - $3,300
The revenue = 0.25 × $5100 = $1,275
The profit = $1,275 - $5,100 = -$3,825 = ($3,825)
2) The number of Newly Opened Accounts = 0.25 which gives, that Gustin has to conduct 4 seminars to be sure of 1 new account, which represents a probabilistic variable which is the definition of a continuous random variable.
Therefore, the number of new accounts is a continuous random variable.
if the temperature is 50 degrees Fahrenheit what is the temperature in celsius
Answer:
10.00 °C
Step-by-step explanation:
Answer:
50 degrees Fahrenheit is 10 degrees Celsius
Step-by-step explanation:
(50°F − 32) × 5/9 = 10°C
Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 39 miles?
Answer: 3 Gallons
Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons
hElP plS anD tY :}
I will give brainliest if I can (only to the first person who answers)
Answer:
the shark can swim 45 mph and the scuba diver can only swim 20. What is the difference between the speeds of the shark, and the scuba diver?
Answer:
fbejfbe
give brainliest pls??
Step-by-step explanation:
Consider matrix A.
What matrix results from the elementary row operations represented by -2R2 + 3Rı?
Enter your answer by filling in the boxes.
I misread the question. Had the elementary row operations been represented by -3R2 + 4R1, then the answer would have been,
-36 23 -1
8 -1 3
hopefully this will still help some of you
What are the distances in feet covered in for step 6 steps twelve steps and 30 steps type your answer in the table. I need answers asap.
Answer:
instantly Converts Feet to Steps and Many More Length Conversions Online. ... 1 Step: The distance covered by a single step assuming a stride length of 0.762 meters or 2.5 feet. Although stride length ... 6 Feet to Steps = 2.4, 300 Feet to Steps = 120. 7 Feet to ... 30 Feet to Steps = 12, 1,000 Feet to Steps = 400. 40 Feet
Step-by-step explanation:
can i please get a brainliest and a thank you please
How did the Yuan dynasty contribute to the rebellion that eventually
overthrew the dynasty?
O A. The Yuan government discriminated against the Chinese and
suppressed their culture.
B. The Yuan government was Confucian, and the people had turned
against Confucianism.
C. The Yuan government had begun indiscriminately killing Chinese
people in the streets.
O D. The Yuan government had entered into unfavorable trade
agreements for the Chinese.
Answer:
a
Step-by-step explanation:
thats what i put and got it right
Marcus is 66 inches tall. This is 20 inches less than 2 times William's height.
How tall is William?
Answer:
William is 46 inches tall.
Step-by-step explanation:
66 - 20 = 46.
given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answer:
a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]
b) a bottle of wine be sold at $30 to realise maximum profit
c) the maximum profit that can be made by the producer is $2500
Step-by-step explanation:
The weekly demand curve of a local wine producer is p= 50-0.1q
p = price
q = quantity
Revenue function R =Price \times Quantity
R=(50-0.1q)q
[tex]R=50q-0.1q^2[/tex]
Cost function: c= 1500+ 10q
Profit function=R(x)-C(x)
Profit function= [tex]50q-0.1q^2-1500-10q[/tex]
Profit function= [tex]40q-0.1q^2-1500[/tex] ----1
We have q = 500 - 10 p using p = 50 − 0.1q
[tex]P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500[/tex]
General quadratic equation:[tex]ax^2+bx+c=0[/tex]
On comparing
a = -0.1 , b = 40 , c = -1500
Maximum Profit is at q = [tex]\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200[/tex]
To find price must a bottle of wine be sold to realise maximum profit
p= 50-0.1q
p= 50-0.1(200)=30
Substitute the value of q in profit function(1) get the maximum profit
So, Profit function= [tex]40\left(200\right)-0.1\left(200\right)^{2}-1500=2500[/tex]
Hence
a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]
b) a bottle of wine be sold at $30 to realise maximum profit
c) the maximum profit that can be made by the producer is $2500
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece be?
Answer:
396.5cm or 3.965m
Step-by-step explanation:
A sculptor is designing her new triangular masterpiece. In her scale drawing,
Scale Drawing
The shortest side = 9cm
The longest side = 37cm
Actual Drawing
The longest side of the actual triangular piece= 16.3m long.
We convert from meter to cm
1m = 100cm
16.3m =
Cross Multiply
= 16.3 m × 100cm/m
= 1630cm
How long will the shortest side of this piece be?
Let the shortest side be represented by x
9/37 = x/1630
Cross Multiply
37x = 9 × 1630
x = 9 × 1630/37
x = 396.48648649cm
≈ 396.5cm
Or converting to meter
= 396.5cm/100
= 3.965m