Answers
Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
Related Questions
Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Express In simplified exponential notation.
18a^3b^2/ 2ab
Answers
Answer:
18a^3b^2/2ab
To simplify the given expression, we apply property of exponents
18/2 = 9
x^m / x^n= x^ (m-n) In division we subtract the exponents
So given expression becomes
9a^2b
The answer has only positive exponents
i think this is what you want?
The simplified exponential notation of the given expression is [tex]9a^2b[/tex].
The given expression is: [tex]\frac{18a^3b^2}{2ab}[/tex]
What is an exponential expression?An expression in the form of [tex]a^pb^qc^r[/tex].. is called exponential expression.
We can write the above expression as:
[tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex]
We know that [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]\frac{a^{3} }{a} =a^{3-1} =a^{2} \\\frac{b^{2} }{b}=b^{2-1} =b[/tex]
So, [tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex] =[tex]9a^2b[/tex]
Hence, the simplified exponential notation of the given expression is [tex]9a^2b[/tex].
To get more about polynomials visit:
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Help with math!?!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answers
Answer:
x = 7√3, y = 14x = √3, y = 3Step-by-step explanation:
Use the property of 30-60-90 degree right triangles
They have the ratio of sides from smallest to greatest: 1: √3 : 2
The top triangle
y = 2*7 = 14x = 7√3The bottom triangle
Acute angles n and 2n makes them 30° and 60°
x = 1/2*2√3 = √3y = √3*√3 = 3Answer:
x = 1/2*2√3 = √3
y = √3*√3 = 3
50% of 90 change to decimal
Answers
Answer:
0.5 or 0.45
Step-by-step explanation:
this needs to be 20 characters long
What is the measure of each interior angle of Regular Polygon?
Answers
Answer:
A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
Step-by-step explanation:
140
∘
Each interior angle of regular polygon of n sides is given by
n
180(n−2)
degree
∴ each interior angle =
9
180(9−2)
degree
=20×7
=140
Describe the translation from the red figure to the blue figure
Answers
Answer:
whattt do I have to do translate what???
Answer:
The blue image is a translation to the red image
Step-by-step explanation:
3/2 p - 14 = p + 13
Please help
Answers
Answer:
p=54 hope this helps
Step-by-step explanation:
Have an amazing day :)
Will give brainlst! Pls help
Answers
Answer:
C. As the Test Score increases, the Social media time decreases
Step-by-step explanation:
D. Yes, linear because if I were to draw a line on the graph most of the points on the scatter plots would match?
Answer:
C. As the Social media time increases, the Test score decreases.
D. Yes, I think the relationship between the test scores and social media time appears liner, because linear lines tend to be straight, and has a constant rate of change. In this case, there is a constant rate of change, and the plot points aren't all over the place.
Explanation (sort of):
Look at the graph going from left to right; You will see that the plot points continue to "fall" closer to the x-axis. This is why "Test scores" are decreasing instead of "Social media time", unlike what someone else answered with.
cual seria 1/10 de $360 pesos
Answers
Answer:36 pesos porque 1/10 de 360 es como multiplicar 1/10 por 360
Step-by-step explanation:
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.
Answers
Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
Learn more about continuous compounding here,
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A tool box has the dimensions of 9 in by 3 in by 6 in. If Rick plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?
Answers
Answer:
No; it will not double the volume of the box
Step-by-step explanation:
Easy question What is the answer??
Answers
Answer:
72.5
Step-by-step explanation:
Answer:
72.5
Step-by-step explanation:
please help me out with this
Answers
Answer:
1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is
5+10+15+20 in stigma notation
Answers
You mean Sigma notation not stigma ^^
Answer:
Look the attachment
if 4=p (p+5)=21 find p
Answers
Answer:
p=16?
16+5=21?
Step-by-step explanation:
16+5=21
Daniel started a video game with 30 tokens. He earned 8 more tokens 0/10
for jumping on a star, but lost 6 tokens for falling into a hole. When he
passed a checkpoint, his number of tokens doubled! Then he spent20
tokens to buy a flashlight. Which expression shows how many tokens he
has left?
2x(30+8-6-20)
2x(30+8)-(20-6)
2x30+8-6-20
2x(30+8-6)-20
Answers
Answer:
2x(30+8-6)-20
Step-by-step explanation:
can u please help me
Answers
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answers
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
Can someone help me? I’ll reward points + brainalist
Answers
Answer:
Step-by-step explanation:
The given box in both questions are cuboid.
Question 3:
Volume of cuboid = length * width * height
= 3 * 3 * 5 = 45 units.
Question 4:
Volume of cuboid = length * width * height
= 4 * 2 * 6 = 48 units
Find the solution of the system of equations.
x+3y= −10
9x+9y= −18
Answers
Answer:
x = 2, y = -4
Step-by-step explanation:
Answer:
Substitution method answer: x=2, y=-4 (2,-4)
Step-by-step explanation:
y= 2x-3
y=-x+9
solve the system of linear equations by graphing
Answers
Answer:
x=4 or -4
y=5
Step-by-step explanation:
2x-3=x+9
=3x=12
=x=12/3
x=4( could also be -4)
y=(4x2)-3
y=5
Help ASAP !!!! I’m almost done
Answers
Answer:
1. 30.48cm
2. 5.77yds
3. 540min
4. 1200cm
5. 8.45qt
6. 168hr
7. 4535.92grams
8. 15yd
9. 32.808ft
Step-by-step explanation:
hope this helps :)
CAN SOMEONE HELP ME PLZZZZZZZZZZZZ
Answers
Answer:
C
Step-by-step explanation:
In circle O, central angle BOC has a measure of 115. Find the measure of arc BAC. In your final answer, Include all of your work.
Answers
Answer:65
Step-by-step explanation:
One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.
Answers
Answer:
18% Decrease.
Step-by-step explanation:
You can use this formula for % decrease questions. :)
Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.
Hope this helps,
Azumayay
Pls help
This is due in 7 minutes
Answers
Answer:
17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)
Step-by-step explanation:
18 .
21; 17.5; 14; 10.5; and 7
3 x 7 = 21
2.5 x 7 = 17.5
2 x 7 = 14
1.5 x 7 = 10.5
1 x 7 = 7
the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there
Answers
Answer:
132
Step-by-step explanation:
First divide the number of lampreys by the ratio.
162/27=6
Then multiply the result (6) by the oarfish part of the ratio
22*6=132
What is the solution to this equation 4x=124
Answers
Answer:
31
Step-by-step explanation:
divide 124 by 4
x=124
Answer:
x=31
Step-by-step explanation:
Divide both sides of the equation by the same term
4x/4 = 124/4
Then you have to divide the numbers.
x= 124/4
x= 31
For the function f(x) = 3x
Find f(4)
Answers
f(4)=12
Hope this helps :)
Answer:
F(4) = 3*4 = 12
Step-by-step explanation:
How do you find the perimeter and area of each figure
Answers
Answer:
Find the perimeter and area of each individual cube then add them up,
Area=length times width
Perimeter=4 times side
Step-by-step explanation:
A function is shown below.
g(x)=19.60+1.74x
What is the value of g(30)?
Answers
Answer:
g(30) = 71.8
Step-by-step explanation:
g(30) = 19.6 + 1.74(30)
The value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
g(x)=19.60+1.74x
Plug x = 30
g(30) = 19.60+1.74(30)
g(30) = 19.60 + 52.2
g(30) = 71.8
Thus, the value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x
Learn more about the function here:
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