Can anyone please help me with these questions 2. a-b 3. a-b 4. a-b and number 5?
Answers
9514 1404 393
Answer:
2a. 0.7, 0.3, -0.1, -0.5, -0.9
2b. 1, 3, 9, 27, 81
3a. geometric; r = 1/5
3b. arithmetic; d = -9
4. 234
5. 1/32
Step-by-step explanation:
2a. Start with the first term and add the common difference to get the next term.
0.7
0.7 -0.4 = 0.3
0.3 -0.4 = -0.1
-0.1 -0.4 = -0.5
-0.5 -0.4 = -0.9
The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.
__
2b. Start with the first term and multiply by the common ratio to get the next term.
The first 5 terms are 1, 3, 9, 27, 81.
__
3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:
8/40 = 1.6/8 = 1/5
This is a geometric sequence with a common ratio of 1/5.
__
3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...
-5 -4 = -14 -(-5) = -9
This is an arithmetic sequence with a common difference of -9.
__
4. Use n=50 and evaluate.
[tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]
__
5. Use n=7 and evaluate.
[tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]
Related Questions
I’d appreciate an answer ;)
Answers
Answer: Hope you have a good day or night!
Step-by-step explanation:
What is 56/5 simplest form???
Answers
Answer:
9 1/3
Step-by-step explanation:
this is what i think and i hope im right
Answer:
11 1/5
Step-by-step explanation:
You can do 56 divided by 5 to answer this.
56 / 5 = 11 and 1/5
11 1/5
PLEASE HELP DUE IN 6 MINS!!!!!!!!!!!!!!!!!!!!!
Box of nails: $3.80
Box of screws:$5.25
Claw Hammer:$12.95
Electric Drill:$42.50
a.Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.
b.What is the total cost of the items purchased?
Answers
Answer:
Step-by-step explanation:
a. 3n+2s+2h+1x=42.50
b. 90.3
Given h(x) = 3x + 4, find h(-1).
Answers
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1
The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function h(x) = 3x + 4
If we want to calculate the value of the function at a certain point then we need to keep that point in the function.
So,
Value of function at = -1 will be
h (-1) = 3(-1) + 4
h(-1) = 1
Hence " The value of h(-1) for the given funciton h(x) = 3x + 4 will be 1".
For more about the function,
brainly.com/question/23712366
#SPJ5
Which is greater: 6/30 or 12/40
Answers
Answer:
12/40
Step-by-step explanation:
match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30
6/30(40/40) = 240/1200
12/40(30/30) = 360/1200
As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger
Answer: [tex]\frac{12}{40}[/tex]
Step-by-step explanation:
Hey there!
-If we were to simplify [tex]\frac{6}{30}[/tex] we would be able to simplify it to [tex]\frac{1}{5}[/tex].
-Multiply [tex]\frac{6}{30}[/tex] by 100 and you get 20 .
-Now compare that with [tex]\frac{3}{10}[/tex] which is [tex]\frac{12}{40}[/tex] simplified.
-Multiply [tex]\frac{12}{40}[/tex] by 100 and you get 30.
-We can now tell that [tex]\frac{12}{40}[/tex] is greater than [tex]\frac{6}{30}[/tex].
~I hope I helped :)~
what is the meaning of life
Answers
Answer:
The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"
Step-by-step explanation:
Answer:
Step-by-step explanation:
The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"
Question 3 HELPPPPPPPPPPPPPPPP
Answers
Answer
The following is a picture of the number with a point on -2
Helppp I’ll make u a brainlister
Answers
Answer:
108 deg
Step-by-step explanation:
Since sides DB and CD are congruent, then opposite angles are congruent.
m<C = m<B = 36
m<B + m<C + m<D = 180
36 + 36 + m<D = 180
m<D = 108
WHAT IS 24÷2 PLS PLS PLS PLS
Answers
Answer:
12
Step-by-step explanation:
24/2 = 12
Answer:
12
Step-by-step explanation:
if g(x) = 8x -20, find g(-4)
Answers
Answer:
g(-4)= -52
Step-by-step explanation:
g(x) = 8x -20
Substitute -4 for x
g(-4) = 8(-4) -20
g(-4) = -52
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answers
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
Which equation represents a linear function? (5 points)
Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1
Answers
y = 3x + 1
Explanation:
If 4 raffle tickets is 6 dollars how much is 1 raffle ticket
Answers
Is 5+x equal to 8+0.75x
Answers
Answer:
1.2
Step-by-step explanation:
X×5=0.75
X=(6, 5)
x=1.2
Answer:
no
Step-by-step explanation:
5+x=8+0.75x
x=12
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.
Answers
Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
The system of linear equations which could be used to find the amount in litres of drinks A and B are :
(0.2a + 0.15b) = 100.5a - b = 30Let :
Amount of drink A = a
Amount of drink B = b
Percentage of real fruit juice for drink A = 20%
Percentage of real fruit juice for drink B = 15%
Total litres made = 100.5
(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres
(0.2a + 0.15b) = 100.5 - - - - - (1)The difference between the amount of drink A and B made :
Drink A is 30 liters more than B :
a - b = 30 - - - - - (2)The system of equations required to determine the amount of drink A and B made are :
(0.2a + 0.15b) = 100.5a - b = 30Learn more : https://brainly.com/question/20379472?referrer=searchResults
could u plz help me with this
x/5=3 and x/2=8.5
Answers
Answer:
15 and 17
Step-by-step explanation:
x/5=3
x= 15 15/5 is 3
x/2=8.5
x=17 17/2 is 8.5
tell me your opinions on the following image
Answers
Answer:
gorgeous
Step-by-step explanation:
Answer:
i am disturbed.
Step-by-step explanation:
this image is disturbing to me, because he is staring at you in your sleep too
Simplify: 1/2 (24q -1)
Answers
Answer:
12q -1/2
Step-by-step explanation:
Answer:
12q -1/2
Step-by-step explanation:
Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?
a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)
Answers
Answer:
D
Step-by-step explanation:
D is also equivalent
3n +15 for n =4
what is the answer
Answers
Answer:
the correct answer would be 27
Step-by-step explanation:
So first things first you need to replace n with 4
3n+15
(3)(4)+15
=12+15
=27
Hope this helps have an amazing day!!
Answer: 27
Step-by-step explanation:
-We would need to substitute the value of the variable into the equation and simplify.
-We will be plugging in 4 for n.
Step 1: Plugging in.
3 * 4 = 12
Step 2: Addition.
12 + 15
Final Answer: 27
please help me find my answer for this I will name brainist.
Answers
Answer:
IT's -3.6 & 14.4 so D is the correct answer
Step-by-step explanation:
x= -3.6 y= 14.4
HOW I SOLVED IT
-3.6 x 3 = -10.8 2 x 14.4 = 28.8 - 10.8 = 18 so correct since it must equal to 18
-2/3 x -3.6 =2.4 + 12 = 14.4 so correct since y = 14.4
Brainilest would be appreciated :)
HURRYYYYY!!!
If f(x) = |x + 7| find f(-12).
Answers
2a2 - ab - 3b2 + 9 when a = 3 and b = 2
Answers
2(3^2)−(3)(2)−3(2^2)+9
2(3^2)−(3)(2)−3(2^2)+9
= 9
What is the area of the triangle?
48 in 2
28 in 2
96 in 2
24 in 2
Answers
Answer:
48 in^2
Step-by-step explanation:
To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.
Answer:
48 in2
Step-by-step explanation:
when finding area we use the equation A= 1/2bh
b meaning base and h meaning height
so for this we would use A= 1/2(24)(4)
multiply them both to get A=1/2(96)
and then take half of 96 to get 48
so the answer is 48in 2
Order the following numbers from least to greatest (15 Pts)
Answers
Answer:
-5.1 , -14/3, -4
Step-by-step explanation:
In the negative side of the numberline -5 is lesser than -14/3 and -4.
Also -14/3 is aproximatedly -4. 6. so its less than -4
Answer:
1. -5.1
2. - 14/3
3. -4
Explanation:
- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.
Hope this helps!
I hope I explained well!
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer.
Answers
Answer:
240 days
Step-by-step explanation:
Create an equation where x represents the total number of days
Use the information that 40 days is 1/6 of the total:
40 = 1/6x
Now, solve for x:
40 = 1/6x
Multiply both sides by 6, since it is the reciprocal of 1/6
40 = 1/6x
240 = x
So, the total number of days he has to record data is 240 days.
A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was .
Answers
Answer:
$1.25
Step-by-step explanation:
step 1:
2.32 x 32
answer:
74.24
step 2:
114.24 - 74.24
answer:
40
step 3:
40 divided by 32
FINAL answer:
40 divided by 32 = x
x =
1.25--------------
the original cost was $1.25! :D
what is 90% of 130?
Answers
Answer:
117
Step-by-step explanation:
(0.9)(130)
=117
Answer:
117
Step-by-step explanation:
Step 1:
[tex]\frac{x}{130} = \frac{90}{100}[/tex] Equation
Step 2:
100x = 11700 Multiply
Step 3:
x = 11700 ÷ 100 Divide
Answer:
117
Hope This Helps :)
40 points on the line please answer I have 4 minutes left!!!
Write the product, and then write the expression in standard form by removing parentheses and combining like terms. Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)
Please help!!!
Answers
Step-by-step explanation:
please see it my steps to work this problem
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.
Answers
Answer:
A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]
Step-by-step explanation:
Required
Determine which system of equation satisfy (-4,2)
To do this, we simply substitute -4 for x and 2 for y in the given functions.
A.
[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]
[tex]3x + 13y = 14[/tex]
[tex]3(-4) + 13(2) = 14[/tex]
[tex]-12 + 26 = 14[/tex]
[tex]14 = 14[/tex]
[tex]6x + 11y = -2[/tex]
[tex]6(-4) + 11(2) = -2[/tex]
[tex]-24 + 22 = -2[/tex]
[tex]-2 = -2[/tex]
The above shows that the given linear combination has a solution of (-4,2).
Hence, this option answers the question and there is no need to check other options
Answer: the answer is A
Step-by-step explanation: