Answer:
Given sequence is an arithmetic sequence.
Step-by-step explanation:
Given sequence is:
125, 25, 5, .. ..
Here
[tex]a_1 = 125\\a_2 = 25\\a_3 = 5[/tex]
A sequence is geometric sequence when the common ratio of consecutive terms is same. It is denoted by r.A sequence is an arithmetic sequence when the common difference of consecutive terms is same. It is denoted by d.Finding the common ratio
[tex]r = \frac{a_2}{a_1} = \frac{125}{25} = 5\\r = \frac{a_3}{a_2} = \frac{25}{5} = 5[/tex]
As we can see that the common ratio is same, the given sequence is a geometric sequence.
Answer:
this is a geometric sequence and the common ratio is equal to 1/5.
Step-by-step explanation:
HELP I NEED HELP ON THIS ASSIGNMENT
Jeff invested 3000 dollars into an account that gives 6.5% interest, compounded annually. The formula of the compound interest is A(t)=P(1+i)^t.
How much did Jeff have after three years?
Answer:
he will have $3623.85 after 3 years.
A certain population increases at a rate proportional to the square root of the population. If the population goes from 2500 to 3600 in five years, what is the population at the end of t years
Answer:
[tex]P(t) = (2t + 50)^2[/tex]
Step-by-step explanation:
A certain population increases at a rate proportional to the square root of the population.
This means that the population can be described by the following differential equation:
[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]
In which r is the growth rate.
Solving by separation of variables, we have that:
[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]
Integrating both sides:
[tex]2\sqrt{P} = rt + K[/tex]
In which K is a random constant
[tex]\sqrt{P} = 0.5rt + K[/tex]
Finding the squares of both sides:
[tex]P(t) = (0.5rt + K)^2[/tex]
Finding the value of K
The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So
[tex]P(t) = (0.5rt + K)^2[/tex]
[tex]2500 = (0.5r(0) + K)^2[/tex]
[tex]K^2 = 2500[/tex]
[tex]K = \sqrt{2500}[/tex]
[tex]K = 50[/tex]
So
[tex]P(t) = (0.5rt + 50)^2[/tex]
Finding the value of r
Population of 3600 in 5 years(when t = 5). So
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]3600 = (0.5r(5) + 50)^2[/tex]
[tex](2.5r + 50)^2 = 3600[/tex]
Taking the square root of both sides
[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]
[tex]2.5r + 50 = 60[/tex]
[tex]2.5r = 10[/tex]
[tex]r = 4[/tex]
So, the equation for the population at the end of t years is given by:
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]P(t) = (0.5(4)t + 50)^2[/tex]
[tex]P(t) = (2t + 50)^2[/tex]
Pls help urgently extra points and mark brainlist sorry it’s reading but easy
Answer:
Gather
Step-by-step explanation:
Answer: Gather
Hope this helps!
Write a fraction that is equal to 5
What general equation is suggested by the graph line?
y = mx + b
y = k(1/x)
y = kx2
Answer:
y=mx+b
Step-by-step explanation:
I took the test :)
Factor the polynomial 8x² − 24x − 224 completely. help now!
Answer:
8 ( x − 7 ) ( x + 4 )
Step-by-step explanation:
What is the measurement of 1?
Answer: 60
Step-by-step explanation:
Add 68 and 52 you get 120 and a triangle is 180 so subtract 180 by 120 and you get 60
Expression 10 months of service
Find f(2), f(1), f(0), and f(-1) for f(x) = 3x + 8.
Answer:
Step-by-step explanation:
Solution
When, x=2
f(2)=3×2+8
=14
Again,
When, x=1
f(1)=3×1+8
=11
When, x=0
f(0)=3×0+8
=8
When, x=-1
f(-1)= 3×(-1)+8
=5
If you found my answer useful then please mark me brainliest.
what is the sum of the fractions below 2/7+1/5
A.1/4
B.11/35
C.17/35
D.1/6
Answer: The answer is C
Step-by-step explanation: Just did it in a quiz
Answer:
[tex]\frac{17}{35}[/tex]
correct
What is the best estimate for 18.301 ÷ (-5.927)?
Answer:
negative 3.08
Step-by-step explanation:
pls help pls or i will fail pls hurry
Answer:
Mean = 60
Median = 56
Mode = 48
Range = 32
Step-by-step explanation: You can find the Mean by adding all the number together then dividing by how many number in the problem. So, 48 + 64 + 80 + 48 = 240 then, divide by 4, which is how many numbers are in this equation. You can find the Median by putting the numbers in the equation in order, 48, 48, 64, 80. Then, you will find what number is in the middle, or look at it as for the number in the middle to have the same amount of numbers on each side. So, in this case 48 and 64 are in the middle. There are two numbers in the middle instead of one, so you have to add them together to get 112 then divide by 2, because it is how many numbers you added together. You can find the Mode by seeing what number occurs the most, which in this case is 48, it appears two times. Sometimes, there will be no mode. You can find the Range by putting the numbers in order and subtracting the highest amount from the lowest amount, which in this case is 80 - 48 = 32. Hope this helps ^-^
keith reads 30 pages in 3 hours how many pages did he read per hour?
Answer:
10 pages per hour
Step-by-step explanation:
3*10=30
have a wonderful night:)
What is 1.2 divided by 25?
A. 0.48
B. 0.0048
C. 48.0
D. 00.48
Answer:
D 0.048
Step-by-step explanation:
Answer:
0.048
Step-by-step explanation:
0.048 is the correct answer but I don't see that choice.
pls give the right answer to this question it is not 0.45662100456
Answer:
2.19
Step-by-step explanation:
Answer:
2.19
Step-by-step explanation:
Jenniter's bill for lunch was $15.00 if Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave? 15 100 20 B — 20 100 15 15 20 100 O D 15 100
Answer:
Well, I usually multiply this which would be 15 x .2 which would equal the tip.
Step-by-step explanation:
Maria had $22 to spend on five pencils. After buying them she had $12.
How much did each pencil cost
Help me pls thank you sooooo much
Answer: Length: 24
Step-by-step explanation:
Answer:
I think its 32.4
Step-by-step explanation:
324/30=10.8
10.8*3=32.4! Hope this helped!! :)
Graphing Ratios Which line includes the ratios in the table? Reading a Graph All the ratios lie on line
Answer:
b
Step-by-step explanation:
can someone help me plz
. What will be the coordinates of point T after a 180° rotation about the origin?
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y)
Solve the following system of equations for all three variables.
2x + 2y + z = 6
-10x– y + 5z = -5
8x + 4y + 3z = 6
Write an equation in slope intercept form that passes through the point (2,-2), and has a slope that equals -2 (please hurry)
Answer:
y = -2x + 2
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
-2 = -2(2) + b
-2 = -4 + b
2 = b
Plug in the slope and y intercept into y = mx + b
y = -2x + 2
So, the equation is y = -2x + 2
Find the value of x. Round your answer to the nearest tenth
Answer:
Where is the problem. Please post the problem for me to solve. Where are the numbers?
Where's the problem, please?
You have 29 thirds. This is a fraction greater than one.
How many wholes can I make with that?
How many thirds would be left over?
You could make 9 wholes with that and there would be 2 thirds left over.
To solve it you would just have to divide 29 by 3 which would give you 9 and leave you with 2 thirds left.
I need help on number 4 plsss geometry beating me up rn :(
Answer: The link doesnt work :/
Step-by-step explanation:
Glenn walked from 6:45 a.m. to 8:15 a.m. He walked a distance of 51 miles. What
was Glenn's average walking rate?
Answer:
1.765mph
Step-by-step explanation:
that's an hour and a half which is 90 min
90/51
Add negative 8 + positive 8
Answer: 0
Step-by-step explanation: -8+8=0
Answer:
0
Step-by-step explanation:
So if you have -8 and 8 and you add them together they cancel out each other and make 0
==50 POINTS==
Select all the correct answers.
Which expressions are equivalent to this exponential expression?
⇒⇒
PLEASE HELP
A- 6⁻⁶
B- 6⁶
C- 1/6⁶
D- 1/6⁻⁶
E- 1/36
Answer: A and D thanks for th 25 pts
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A simple random sample of 25,000 individuals are surveyed in order to determine the prevalence of individuals that contracted the flu in the past year. Assuming 4,250 individuals indicated they had been diagnosed with the flu at some point in the past year, what is the prevalence of flu for the past year, as indicated from the survey participants
Answer:
The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.
Step-by-step explanation:
Given the survey, the prevalence of the flu, as a percentage, is given by:
Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.
In this question, we have that:
Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:
[tex]\frac{4250*100}{25000} = 17[/tex]
The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.