9514 1404 393
Answer:
the n-th root of the ratio of ending to starting values, less 1
Step-by-step explanation:
When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.
__
The exponential equation can be written ...
f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))
In your example case, this would be ...
f(t) = 2 × (20/2)^(t/18)
f(t) = 2(10^(t/18)) . . . . . . simplified
__
To convert this to the form ...
f(t) = 2(1 +(growth rate))^t
recognize that ...
(1 +(growth rate)^t = (10^(1/18))^t
So, you need to find the value of ...
10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%
Then the growth rate is about 13.6% each week.
__
Sometimes, you want to use this in the form ...
f(t) = (initial value)×(1 + (growth rate))^t
and sometimes you want the form ...
f(t) = (initial value)×e^(kt)
When you solve for k, you find it is ...
k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x
Here, that is ...
k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792
__
Your final growth equation could be any of ...
f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved
f(t) = 2(1.13646^t)
f(t) = 2e^(0.12792t)
The measure of C is ?
Answer:
100
Step-by-step explanation:
a^2 + b^2 = C^2
6^2 + 8^2= 100
Which gives the correct values for points A, B, C, and D?
I will give out brainliest
Answer:
b
Step-by-step explanation:
Please answer 1 - 3, Thank you!
Answer:
The area of the wall is 25ft
Step-by-step explanation:
What is the value of the x
Answer:
116
Step-by-step explanation:
Here are the instruction plz help asap
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.
(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)
To measure the forearm, measure inside the arm, between the wrist and the elbow.
Part 2
Organize your data and find the rate of change.
Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.
Select two sets of points and find the rate of change for your data.
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.
Answer:
again please don't just straight up copy it just use it as a base please also i tried my best and don't know if i got it right
Step-by-step explanation:
Part 2
Organize your data and find the rate of change.
I’m sorry i didn’t know how to make a table so i just did this
Person number 1- Left foot is 9 inches Forearm is 8.5 inches
Person number 2- Left foot is 7.5 inches Forearm is 7 inches
Person number 3- Left foot is 11 inches Forearm is 10.5 inches
Person number 4- Left foot: is 10 inches Forearm is 9.5 inches
Person number 5- Left foot is 6 inches Forearm is 5.5 inches
The rate of change equals y=x-0.5
I believe that it's a function because there is a relationship between 2 variables.
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
i don’t know how to type all my formulas and work so i'm just going to say the answer i got the rate of change = 0.86x or y=0.86x+3.302
What is the rate of change of the equation from Part A?
For Part A i got y=x-0.5 and that part A has the greater rate of change.
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Well, the values have to be different because there are different rates of change and different linear coefficients; and also each input value will result in a different output value because they all have different parameters as well.
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Yes, it is a function because each input from part A fits well together with the output on the other set, which matches the definition of a function.
Answer:
11.9
Step-by-step explanation:
. Kelton made punch for a school dance. He used 2 gallons of apple juice and 3 bottles of ginger ale to make enough to fill two punch bowls. If Kelton had used 15 bottles of ginger ale, how many gallons of apple juice would he have needed?
Answer:5
Step-by-step explanation:
Which number is equivalent to this expression?
3 + 0.1 + 0.004
The table represents some points on the graph of a linear function.
Which function represents the same relationship?
Answer:
C
Step-by-step explanation:
The equatipn of the function that represents the same relationship is
h(x)=-3x-10.5
Equation of a line :The slope intercept form of equation of line is y=mx+b
where m is the slope and b is the y intercept .
We are given with a table that represents the linear function
Pick any two points from the table to find out slope
(-3.5,0) and (-1,-7.5)
[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3[/tex]
Now we find out y intercept b . use point slope form
[tex]y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5[/tex]
The equation of the function that represents the same relationship is
h(x)=-3x-10.5
Learn more information about 'Equation of lines' here
brainly.com/question/27232782
The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)
Answer:
The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
Step-by-step explanation:
Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.
–42ft, –20ft, –18ft, –8ft.
From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond?
A 10 feet
B. 12 feet
C. 19 feet
D. 29 feet
Answer:
C. 19 feet
Step-by-step explanation:
Circumference formula 2πr= 2π(3)= 18.85. Round up to 19 feet
Which angle(s) are supplementary to angle BAD?
Answer:
hi
Step-by-step explanation:
Who knows how to get the answer for X?
Answer:
x=60
Step-by-step explanation:
The total interior angles of all triangles add up to 180 degrees.
Since this is an equilateral triangle, all angles are equivalent.
In conclusion the answer is x=60
dude why are still up my friend and are you ready for Christmas
Which statement about numbers is true?
All integers are natural numbers.
O All rational numbers are integers.
All na ural numbers are whole numbers.
All rational numbers are natural numbers.
Answer:
All natural numbers are whole numbers
Step-by-step explanation:
I’ll give brainley , pleaseee helppp
Answer:
Vertical Stretch & horizontal translation
Step-by-step explanation:
the vertical stretch makes the line bigger
Horizontal translation will move the shape 2 left of the x axis
Answer:
Srry bro its way to blurry for me to read... Also dont show your password to randoms.
Step-by-step explanation:
Anna made a scale drawing, in inches, of a building using a scale of 1:600 . Her scale drawing was 6 inches long. Greg made a scale drawing of the same building using a scale of 1:300 How long, in inches, was Greg's scale drawing?
Answer:
1200 inches
Step-by-step explanation:
Given that:
Scale used by Anna in her drawings = 1 : 600
Length of drawing made by Anna of a building = 6 inches
Scale used by Greg in the drawing = 1 : 300
To find:
The length of scale drawing made by Greg.
Solution:
Here, we first need to find the original length of the building so that we can find the length of scale drawing made by Greg.
Ratio 1 : 600 means 600 is the actual length of building, if the length of scale drawing is 1.
Here, we are given length of scale drawing as 6 inches, therefore the actual length of building = 6 [tex]\times[/tex] 600 = 3600 inches
Now, applying the ratio 1 : 300, we get the length of scale drawing by Greg as [tex]\frac{3600}{3}[/tex] = 1200 inches
Given f(x) = 3/2x - 8, solve for x when f(x)= 7
Answer:
x is 10 when f(x) = 7
Step-by-step explanation:
f(x) is another way of saying y=. The question is basically asking, what is the value of x when the 3/2x - 8 = 7
So, to do this, you are going replace y with it's numerical value. The numerical value given to you is 7. Now, you are going to solve for x (by isolating x).
[tex]7= \frac{3}{2} x-8\\7+8= \frac{3}{2} x-8+8\\15 = \frac{3}{2} x\\15 / \frac{3}{2} = (\frac{3}{2}x) / 3/2\\10=x[/tex]
f(10) = 7
Check your work?
Plug in 10 where you see x.
y = 3/2x - 8
y = (3/2)(10)-8
y = 7 ✅
Leave your answers as a fraction or improper fraction.
Answer:
Soda tax — Should people have to pay an extra tax on soda or junk food?
Your conversation should include the following:
A total of at least five entries for each side (10 entries total—two to three sentences each)
Accurate facts used to support both perspectives
At least two properly cited sources used for research
Step-by-step explanation:
The temperature was 9 degrees below zero at 11 A.M. By 2 P.M. the temperature had risen 3 degrees. What was the temperature at 2 P.M.?
Answer:
-6 degrees
Step-by-step explanation:
9 degrees below zero is the same as -9, so -9 + 3 = -6
the question is on the sheet.
no one is answering i need help asap
Answer:
32t + 72
Step-by-step explanation:
8(4t+9)
4t(8) + 9(8)
32t + 72
Answer:32t+72
Step-by-step explanation:
2. Amy has 20 necklaces in a jewelry
box. The probability of reaching into the
jewelry box and pulling out a silver
necklace is 0.85. What is the probability
that Amy will reach in the jewelry box
and pull out a necklace that is not silver?
120
5/20
3.20
15.20
The probability that Amy will reach in the jewelry box and pull out a necklace that is not silver is 3/20 and this can be determined by using the given data.
Given :
Amy has 20 necklaces in a jewelry box. The probability of reaching into the jewelry box and pulling out a silver necklace is 0.85.The following steps can be used in order to determine the probability that Amy will reach in the jewelry box and pull out a necklace that is not silver:
Step 1 - According to the given data, the probability of reaching into the jewelry box and pulling out a silver necklace is 0.85.
Step 2 - The overall probability is 1.
Step 3 - So, the probability that Amy will reach in the jewelry box and pull out a necklace that is not silver is calculated as:
P = 1 - 0.85
P = 0.15
P = 3/20
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/9222285
Elijah works at Chick-fil-A and gets paid weekly. He does not have any money in his bank account yet, but will
start saving for a PlayStation 5. After 4 weeks, he has $150. In 8 weeks, he has $300.
How many solutions does this system have? 3x+ 5y=-9
Answer:
See below :)
Step-by-step explanation:
Infinite. We can prove it by graphing and after graphing, we can see that the line never ends indicating all points on the line are solutions.
Please help! 426 1/5 - 275 ½= ?
150.7
Step-by-step explanation:To solve this, we first turn both the fractions into decimals :
[tex]\frac{1}{5} = 0.2\\[/tex] (add this to 426 to get 426.2)
[tex]\frac{1}{2} = 0.5[/tex] (add this to 275 to get 275.5)
Then, just solve the equation :
426.2 - 275.5 = 150.7
m=⅗ and y intercept is -6
Answer:
y=[tex]\frac{3}{5}x[/tex]-6
Step-by-step explanation:
Remember the slope-intercerpt form
y=mx+b
Please help me I’m being timed please
The slope is -3 and the y-intercept is -7. The equation would be y = -3x – 7
I really need help with this please tell me how you got the answer as well for my future problems.
Answer:
2
Step-by-step explanation:
y= 4x-2
since By the question, y = 6
6 = 4x - 2
or, 6 + 2 = 4 x
or , 8 by 4 = x
or, 2 = x
1 2⁄3 ÷ 3 1⁄3 =
answer ASAP please
Answer:
0.5 or 1/2 ☺
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
will select brainliest if ur answer is correct
Answer:
B (I think)
Step-by-step explanation:
A function can't have two X values that are the same (If I remember correctly) and the second table is the only one that doesn't have duplicated X values
Answer:
the correct answer is b
Step-by-step explanation:
HELP! WILL GIVE A BRAINIEST! 15 POINTS!!!!
Answer:
3 units
Step-by-step explanation:
