Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
What is the domain of the function graphed below? Hurry pls I’m being timed
Plzzz answer it :( :
All fraction or mixed number answers are in simplest form or reduced form .
True or false
Answer:
false it is not always reduced form
Please help me with both the questions ty.
Answer:
4) 26+4/842-/×375-^×
5)/^9+37+×+454+12
Step-by-step explanation:
Jimmy and Chris go to Chick-fill-A. Jimmy orders 2 chicken sandwhiches and 5 cookies and pays
$17. Chris orders 3 chicken sandwiches and 2 cookies and pays $20. How much does a chicken
sandwich cost?
Answer:
A sandwich costs $6
If there are 14 boys and 28 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:pop
Step-by-step explanation:
Answer:
14:28
Step-by-step explanation:
PLEASE HELP !!!!!
1) Find the equation of the trend line (line of best fit). SHOW WORK
2) Predict the number of tips that would be collected if 100 costumers were served at the restaurant on a given day. Explain your reasoning.
3)EXPLAIN how to use the regression calculator to make a reasonable prediction given a data table
(I don't know how to attach more than 1 picture by the way )
Answer:
1) y = 1.8741176487x + 3.655964863
2) About $191 using the equation, about $180 or more using the data you are given.
3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.
Please give me the correct answer
Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵
Hence , 0.00003 = 3 × 10-⁵ . So it is -5
Help me out in this question please
Answer:
The answer is D
Step-by-step explanation:
Which multiplication problem does the model represent?
A- 1/8 times 2
B- 7/8 times 2
C- 1/2 times 4
D- 1/4 times 8
The correct answer would be D- 1/4 times 8
This is the correct answer because if you look at the model, it shows 2 blocks of 1, and then 8 blocks of 1/4, which both equal 2, and the model does not say anything about the top row, only the bottom, and after process of elimination, you would be left with 1/4 times 8
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
there were 60 people in the town's first annual parade. That number has been growing by about 5% each year. predict the number of people in the towns 25th annual parade
The number of people in the 25th annual parade in the town, can be found to be 203 people
How to find the number of people?The number of people that attend the town parade, has been increasing by 5% each year since the first year. In that first annual parade, 60 people showed up.
The number of people in the 25th parade can be found by the formula:
= Number of people in first parade x ( 1 + growth rate) ^ number of years
= 60 x ( 1 + 5% ) ²⁵
= 60 x 3.3863549408993848167083336666837
= 203 people
Find out more on number of people at https://brainly.com/question/14322607
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What is the quotient for 6 divided by 2/3
Answer:
9
Step-by-step explanation:
change 6 into 6/1
6/1 times 3/2 cause you switch around the two and three and change it to multiplication
6 times 3 = 18
2 times 1 = 2
18/2 = 9/1 = 9
Bryson can travel 28 1/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answer:
56 if rounding but 56.50 if not
Step-by-step explanation:
rate
James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. If the monthly payments are $78.40, what is the interest rate on the loan?
Answer:
2.4%
Step-by-step explanation:
Total amount of payments:
5 years * 12 months/year * $78.40/month =
= $4704.00
Amount of interest paid in 5 years:
$4704 - $4200 = $504
Amount of interest paid in 1 year:
$504/5 = $100.80
Annual percent rate of interest:
$100.80/$4200 * 100% = 2.4%
Answer: 2.4%
Need help geometric sequences see pic for details
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.
How do you work this problem? 10x2 +25x
Answer:
x=-5/2,0
Step-by-step explanation:
It is solved by first factorizing it
10x²+25x=5x(2x+5)=0
Finding the zeros
5x=0x=0/5=0
2x+5=0
x=-5/2
Therefore x is -5/2 or 0
What is the approximate percent of decrease from 90 to 40?
Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?
Answer:
a
Step-by-step explanation:
She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.
(it was also correct when i took it on Edge(nuiy!)
I hope this helped you a bit!!!!
Answer:
A
Step-by-step explanation:
the basement of a building is 40 feet below ground level . the elevator rises of 5 feet per second . you enter the elevator in the basement write an equation that represents the height y (in feet) of the elevator
Answer:
y=5x-40
Step-by-step explanation:
It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.
Please helppp!! I suck at math
Answer:
5/6−1/9=13/18
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(5/6×3/3)−(1/9×2/2)=?
Complete the multiplication and the equation becomes
15/18−2/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
15−2/18=13/18
This fraction cannot be reduced.
Therefore:
5/6−1/9=13/18
So do you have to have a least 2 people answering the question to five them the crowm?
Answer:
Well... only two people can answer a question. But you must have both two answers for a question to give brainliest to one or another. Got it? :)
Step-by-step explanation:
−k+2(−2k−5) please help me
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 (-2k - 5)
-k - 4k - 10
-5k - 10
Answer:
-K+2(-2K-5)
-K-2K-10
-3K=10
K= 10÷(-3)
K=-3.333333
The area of a square shaped park measures 16900 square feet. How many feet of fencing would be needed to enclose that park?
Answer:
520 feet
Step-by-step explanation:
The area=16900
Area formula=b^2
b^2=16900
square root of 16900=130
130*4=520
Plz Help me find the linear equation!!!!!!!!
Answer:
you need to show or tell us the problem for us to be able to help you
Step-by-step explanation:
:/
Answer:
um
Step-by-step explanation:
can u show us the question bc we can't help if there's no question
write the equation for the line that is parallel to y=2/3x-5 and goes through the point (-12/2)
Answer:
I put the equation into Point-Slope Form and got:
y - 2 = 2/3(x + (-12))
Distribute the 3 to the numbers on the left:
3y - 6 = 2(x - 12)
Multiply the Parenthesis by 2:
3y - 6 = 2x - 24
Add 6 to the right side:
3y = 2x - 18
Divide both sides by 3:
y = 2/3x - 6 is the answer :)
Which transformation from the graph of a function f(x) describes the graph of 5f(x)
Answer:
Dilation
Step-by-step explanation:
Given
Main function: f(x)
Resulting function: 5f(x)
Required
Which transformation exists between both functions
The general explanation is that:
When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).
Mathematically, if the following relationship exists between f(x) and g(x)
g(x) = k.f(x)
Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio
In this case:
g(x) = 5f(x)
So, the transformation that answers the question is dilation.
Answer: vertical | stretch | left
Step-by-step explanation:
Look at the image below and please tell me where to place the points.
There is no image posted though?
Answer: there is no image though
Step-by-step explanation:
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5 12% of the selling price.
a. How much commission will the salesperson earn by selling a couch for $495? Round to the nearest cent.
A pack of cardinal flower seeds costs $4,and a pack of petunia flower seeds costs$2.50. You buy the same number of packs of each type of flower and spend $39. How many packs of each do you buy?
Answer:
6 packs of each
Step-by-step explanation:
$4+$2.50=$6.50
39/6.5=6
Answer:
6
Step-by-step explanation:
4x + 2.50x = 39
6.50x = 39
x = 6
Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
A coordinate plane is shown. There is a point at 7, 5 labeled Player 2. There is a point at negative 7, 5 labeled Player 1.
Which statement best describes the relationship between the positions of the two players? (4 points)
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Given:
Player 1 is at (-7,5).
Player 2 is at (7,5).
To find:
The relationship between the positions of the two players.
Solution:
The two points are (-7,5) and (7,5).
Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.
The transformation is defined as
[tex](x,y)\to (-x,y)[/tex]
It means, the points are mirror image of each other with respect to y-axis.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Therefore, the correct option is C.
write the following in the form Ax^2+Bx+C=y
Answer:
13). y = x² + 6x + 8
14). y = 2x² + 8x - 12
Step-by-step explanation:
13). Vertex form of a parabola is given by,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Equation of a parabola with vertex (-3, -1) will be,
y = a(x + 3)² - 1
Since, y-intercept of the parabola is y = 8
In other words, parabola is passing through (0, 8)
8 = a(0 + 3)² - 1
8 = 9a - 1
9a = 9
a = 1
Therefore, equation of the parabola will be,
y = (x + 3)² - 1
y = x² + 6x + 9 - 1
y = x² + 6x + 8
14). Equation of a parabola with vertex (-2, -20)
y = a(x + 2)² - 20
Since, y-intercept of the parabola is (0, -12),
-12 = a(0 + 2)² - 20
-12 + 20 = 4a
4a = 8
a = 2
Therefore, equation of the parabola will be,
y = 2(x + 2)² - 20
y = 2(x² + 4x + 4) - 20
y = 2x² + 8x + 8 - 20
y = 2x² + 8x - 12