Answer:
638
Step-by-step explanation:
The total number of responses is the value of a geometric series with first term 70 and common ratio 1-10% = 0.90. That sum is given by the formula ...
Sn = a1·(1 -r^n)/(1 -r)
where r is the common ratio, n is the number of terms, and a1 is the first term.
The sum of n=23 terms of the series with a1=70 and r=0.9 is ...
S23 = 70·(1 -0.9^23)/(1 -0.9) = 700(1 -0.9^23) ≈ 638
The model predicts 638 total responses over the first 23 days.
who can answer this have 20 points
First note that [tex]A_n[/tex] means the nth term in the sequence.
1. First one is a simple arithmetic progression/sequence as the common differences between each two numbers are 1
So the sequence will be
1.) 2,3,4,5,6,7...
And the rule since its +1 each time will be
[tex]A_n=2+1*(n-1)[/tex]
For the nth term of the sequence.
2.This one can be seen as a simple geometric sequence as the common ratio between the number and the number after it is 1:2
So the sequence will be
2.)2,4,8,16,32,64
And the rule since it is *2 each time is a simple exponential function
[tex]A_n=2*2^{n-1}\\or\\A_n=2^n[/tex]
3.This one is tricky but it can be seen that the term is double the term before subtract 1
So the sequence will be
3.)5,9,17,33,65,129
And the rule based on this sequence will be
[tex]A_n=A_{n-1}*2-1[/tex]
**Please note that this rule specifically is written in recursive form as it is a lot more difficult otherwise.
4 This one is similar to problem 1 which is an arithmetic sequence this one just have a common differences of 3 instead of 1.
So the sequence will be
4.)25,28,31,34,37
And the rule based on the sequence will be
[tex]A_n=25+3*(n-1)[/tex]
I hope this helps and if you don't understand any part of my explanation I would gladly help!
Find the length of the side marked with the variable X
Answer:
7.8287
Step-by-step explanation:
Sin(34)=x/14
14 x Sin(34)
Answer:
Step-by-step explanation:
Opposite side of the angle 34 is x & hypotenuse which is opposite to 90 is 14
[tex]Sin \ 34 = \dfrac{Opposite \ side}{hypotenuse}\\\\0.56 = \dfrac{x}{14}\\\\\\0.56*14=x[/tex]
x = 7.84
The scatterplot shows the relationship between the test scores of a group of students and the number of hours I spent on social media and a week:
Part A:
(1) What is the group of points labeled A called?
(2) What is the point labeled B called?
(3) Give a possible reason for the presence of point B
Answer:
1 plus one is 2 plus 9 that's 11 so it will be letter a
A recipe requires 9 cups of milk you can only measure using 3/4 cups. How many 3/4 cups are needed for the recipe
Answer:
12
Step-by-step explanation:
In order to find the amount of cups we will divide 9 by 3/4.
9÷3/4
9*4/3
36/3
=12
Please mark as brainliest
WILL GIVE 100 POINTS AND BRAINLIEST
I need this answer IMMEDIATELY!!!
The graph models how a farmer's profit from a strawberry crop depends on the number of days the farmer waits after the first strawberries ripen before harvesting the crop.
Select from the drop-down menu to interpret the increasing interval of the graph.
The profit increases from
Choose...
days after the first strawberries ripen.
Answer:
The profit increases from day 0 to day 8 after the strawberries first ripen.
Step-by-step explanation:
A function is increasing when the slope is positive (y gets bigger as x gets bigger).
A function is decreasing when the slope is negative (y gets smaller as x gets bigger).
From inspection of the graph, we can see that the maximum point is (8, 6000), so the maximum profit of $6,000 occurs on day 8.
The slope of the curve is increasing as the curve approaches the maximum point, so the profit is increasing during this time period.
Therefore, the profit increases from day 0 to day 8 after the strawberries first ripen.
The slope of the curve is decreasing after the maximum point, so the profit is decreasing after 8 days.
The profit increases from 8 days after the first strawberries ripen.
When we observe the graph we see that the function reaches its maximum at y-axis on the point (8,6000) 6000 is the maximum profit, which is made after 8 days the strawberries have ripen.After 8 days the prices have started to decrease.Mrs. Douglas packs candy bars into boxes for the members of the school band to sell as a fundraiser. Each candy bar weighs 5.75 ounces, and the empty box weighs 2.95 ounces. If the algebraic rule y = 5.75x + 2.95 represents the total weight of the packed box, what does the variable x represent?
a. Weight of each candy bar inside a box
b. Total weight of a box filled with candy bars
c. Total number of boxes filled with candy bars
d. Number of candy bars packed into a box
Answer:
d
Step-by-step explanation:
Brainliest if correct
Answer:
2x -12
Step-by-step explanation:
Multiply -3 times x and -3 times 4 to get -3x and -12. Then combine 5x -3x to get 2x - 12
Answer/Step-by-step explanation:
Distribute
-3(x+4)+5x
-3x-12+5x
Combine like terms
2x-12
[RevyBreeze]
What operation would isolate the variable -11 + m = 26
Answer:
the addition property
Step-by-step explanation:
to isolate the m you would add 11 to each side to cancel out -11 so m=37
subtract: write each in simplest form. 1/2-1/4=
how do I do this problem in the simplest form.
1/2 - 1/4 =
1/2-1/4
Find its LCM which would be 4
So change the 1/2 to 2/4 and keep 1/4 the same since we already have the denominator we need so
2/4-1/4 = 1/4
What is the value of the exponent when simplifying the following expression: 16^1/2•16^1/2
Select one or more:
A. 1/4
B. 1/2+1/2
C. 1
D. 0
E. 1/2•1/2
F. 1/2-1/2
Answer:
B.
Step-by-step explanation:
because they have the same base and it's a multiplication so you have to add the exponents
simplifying the following expression: 16^1/2•16^1/2
C. 1
Fill in the table with the next four terms of the sequence a1=4 and an=3an – 1, if n≥2.
Answer:
12, 36, 108, 324
Step-by-step explanation:
using the recursive formula and a₁ = 4 , then
a₂ = 3a₁ = 3 × 4 = 12
a₃ = 3a₂ = 3 × 12 = 36
a₄ = 3a₃ = 3 × 36 = 108
a₅ = 3a₄ = 3 × 108 = 324
The tenputurr is -2 C.If the the temperature rises by 15 c, what is the new temperature
Answer:
13 degrees Celsius
Step-by-step explanation:
15-2=13
What the answer for this???
Use the provided hundredths model (and two colors) to demonstrate how to model your answer on #1.
Be sure to explain which cool represents each factor! Be sure to write the product!
Thanks for helping me, appreciate it alot!
Answer:
Send the question please. You can send in the comments or in a separate question.
anybody please Hrd can u sole this pleaseeeeeeeeeeeee. soon ASAP...
1i) 3m. 3 x m is the same as 3m
1ii) 2m + 15. 2 x m + 15 can be written as 2m + 15
Answer:
3m and 2m+15
Step-by-step explanation:
"three times m" = 3 multiplied by m = 3m
"15 more than twice the given number"
Twice the given number is 2m. 15 more than that is 2m+15.
a. Use what you've learned in this unit to model the population of Western
Lowland Gorillas after 5, 10 and 20 years. Let y equal the population of the
gorillas and x represent the number of years since 2022. Show your work.
b. Use the information calculated in step A to create a table showing the Gorilla
population after 5, 10 and 20 years.
c. Explain why the table shows exponential decay. Summarize how scientists
can use exponential decay to predict population changes in endangered
species. Summarize your answer in 1-2 paragraphs.
An exponential function can either represent population growth or population decay
How to model the populationThe question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
However, the following is a general guide to solve the question.
An exponential function is represented as:
[tex]y=a(1 \pm r)^x[/tex]
Where:
(a) represent the initial value i.e. the initial population of the Western Lowland Gorillas (r) represents the rate at which the population increases or decreases.(x) represents the number of years since 2022(y) represents the population in x yearsGiven that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)
Take for instance:
[tex]y = 20000 * 0.98^x[/tex]
By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
Read more about exponential functions at:
https://brainly.com/question/11464095
4. Find the equation of the line that has a slope of 3 and goes through the point (3,4).
equation= y-y¹=m(x-x¹)
= y-4= 3(x-3)
y-4= 3x-9
y= 3x-9+4
y=3x-5
Which is another way to write 7 multiply 7 multiply 7 multiply 7?
Answer:
7^4
Step-by-step explanation:
7 power 4 equals to 7×7×7×7
I need this answers ASAP please. The mass of potatoes Lucan used is 5:2 the mass of carrots. The mass of potatoes is 9 kg more than the mass of carrots. Find the total mass of both ingredients. Please provide an explanation.
Answer:
Step-by-step explanation:
Known facts:
the ratio of mass potatoes to the mass of carrots is 5:2the mass of potato is 9kg more than the mass of carrotLet us set up the equation:
variables: mass of potatoes: p, the mass of carrots: cp/c = 5/2 --> 2p = 5c --> 2p -5c = 0 -- equation 1
p = 9 + c --> p - c = 9 -- equation 2
Multiple equation 2 by 2
2p - 2c = 18 -- equation 3
subtract equation 1 and equation 3
-3c = -18
c = 6, so p = 15
So the total mass of both ingredients is 21 kg
Noah bought a new car. It gets 21.7miles per gallon of gas on the highway. His gas tank is able to hold 14 gallons of gas. How many miles can Noah travel on the highway on one tank of gas?
Answer:
303.8
Step-by-step explanation:
All you do for this is 21.7 * 14
whats 348.69 simplified
class of 28 13 boys and 15 girls
Answer: 15/13
Step-by-step explanation:
Help me pleaseee will give out lots of points
Answer:
x=73
Step-by-step explanation:
The two angles are equivalent, therefore x=73
If 9x + 1 = 1, find the value of x.
Answer:
the value of x is 0
Step-by-step explanation:
you: thanks
Me: no problem :)
The radius of a circle is 1 foot. What is the circle's area?
r=1 ft
Use 3.14 for .
Answer:
A=πr2=π·12≈3.14159ft²
A≈3.14ft²
Step-by-step explanation:
Find the range of f(-5)=-2|x-5|+8 please with explination.
Answer:
Domain: set of possible input values (x-values)
Range: set of output values (y-values)
The range for the function [tex]f(x)=-2|x-5|+8[/tex] is:
[tex]f(x)\leq 8[/tex]
(5, 8) is the vertex of the line
Because |x - 5| is absolute (so always positive) and it is multiplied by -2,
-2|x - 5| will always be negative unless x = 5 (when it will be zero). Therefore, the max y-value is 8.
However, your question actually asked what the function is when x = -5:
[tex]f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12[/tex]
Step-by-step explanation:
Thats the all rhe answers step by step
A triangle has angle measurements of 13°, 104°, and 63°. What kind of triangle is it?
Answer:
The triangle is a scalene obtuse triangle
Step-by-step explanation:
We have angles of 13, 104, and 63
Since all of the angles are different, all of the sides have different lengths, so the triangle is scalene
The largest angle is 104 degrees. Since it is larger than 90 degrees, it is obtuse.
The triangle is a scalene obtuse triangle
Answer:
obtuse maybe
Step-by-step explanation:
I don't really know but let me know if you get it right.
Why I picked obtuse is because of 104 degrees normally obtuse angles have smaller degrees than there is 1 that is bigger number for instantance 104 or over 100 degrees.
Have a nice day! :)
Find the value of x. if 2xsquare+4=54 is given.
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
Answer:
4s
Step-by-step explanation:
Equate the equations and solve for x:
[tex]-3x^2 + 24x + 3=-4x^2 + 25x + 15[/tex]
[tex]\implies x^2 -x -12=0[/tex]
[tex]\implies x^2 -4x+3x -12=0[/tex]
[tex]\implies x(x-4)+3(x-4)=0[/tex]
[tex]\implies (x+3)(x-4)=0[/tex]
[tex]\implies x=-3, x=4[/tex]
As time is positive, x = 4
The time at which the water balloons collided at their highest point is 7 seconds after the launch.
To find the time at which the two water balloons collided at their highest point, we need to determine the time at which the sum of their heights is maximized. The sum of the heights is represented by the sum of the two quadratic functions.
Given the functions:
y = -3x² + 24x + 3
y = -4x² + 25x + 15
The sum of the heights, S(x), is:
S(x) = (-3x² + 24x + 3) + (-4x² + 25x + 15)
Combine like terms:
S(x) = -7x² + 49x + 18
To find the time when the sum of the heights is maximized, we need to find the x-coordinate of the vertex of the parabolic function S(x). The x-coordinate of the vertex of a quadratic function in the form ax² + bx + c is given by:
x vertex = -b / (2a)
In this case, for S(x) = -7x² + 49x + 18:
a = -7
b = 49
Calculate the x-coordinate of the vertex:
x vertex = -49 / (2 * -7)
x vertex = 7
Now that we have the x-coordinate of the vertex, we can find the corresponding time by plugging it into either of the original functions. Let's use the first function for simplicity:
y = -3x² + 24x + 3
When x = 7:
y = -3(7)² + 24(7) + 3
y = -147 + 168 + 3
y = 24
Therefore, the time at which the water balloons collided at their highest point is 7 seconds after the launch.
To know more about quadratic functions:
https://brainly.com/question/18958913
#SPJ3
If A PQR = ASTU, which statement must be true?
T
р
S
R
O A. PQ = SU
B. ZP. ZR
C. PO = ST
D. ZPEZT
Answer:
O A. PQ = SU
Step-by-step explanation:
When two triangles are congruent then by CPCTC,
their corresponding parts ( angles and sides ) must be congruent.
In triangles PQR and STU,
Side PQ, QR and RP are corresponding to the sides ST, TU and US respectively,
Also, angles P, Q and R are corresponding to angles S, T and U respectively.
Here, Δ PQR ≅ Δ STU,
Thus, by the above property,
PQ ≅ ST, QR ≅ TU and RP ≅ US,
∠P ≅ ∠T, ∠Q ≅ ∠T and ∠R ≅ ∠U
Alia and Zarius are each reading the same book. Alia read 1/2 of the book on Monday. She read 1/3 of the book on Tuesday. Zarius read 4/8 of the book on
Tuesday and 1/4 on Monday. Zarius said he read more than Alia. Is he correct? Please explain why?
Answer:
I believe Alia because she read 2.5/3 of the book and Zarius only read 3/4 of the book altogether.
Step-by-step explanation:
Z; 4/8=1/2 or 2/4 +1/4=3/4
A: 1/2=3/6+2/6= 5/6 if you divide that by 2 then she read 2.5/3 of her book
in then end 3rds are greater then fourths
