Answers
Answer:
The answer is 1/y^7
[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{7} }{ {y}^{21} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{0} }{ {y}^{21 - 7} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{0} }{ {y}^{14} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \sqrt{ \dfrac{ 1}{ {y}^{14} } } [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{1}{ {y}^{7} } [/tex]
Related Questions
James is trying to save money for college. When
he is 5 years old, his uncle puts $750 into a
savings account for him. The money should
increase by 5% each year until he needs it for
college.
Write an exponential model for this situation.
Answers
Answer:
[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment
Or [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James
Step-by-step explanation:
exponential model: [tex]y=ab^t[/tex], where [tex]t[/tex] is the time (in years) from investment
when t = 0, y = 750
[tex]\implies 750=ab^0[/tex]
As [tex]b^0=1[/tex]
[tex]\implies 750=a[/tex]
Therefore, [tex]y=750b^t[/tex]
If the savings increase by 5% each year, then b = 105%.
105% = 105/100 = 1.05
Therefore, b = 1.05
So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment
Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James
Stringed instruments like guitars and pianos create a note when a string vibrates back and forth. The distance that the middle of the string moves from the center is called the amplitude (a), and for a guitar, it starts at 0.75 mm when a note is first struck. Amplitude decays at a rate that depends on the individual instrument and the note, but a decay rate of about 25% per second is typical. Calculate the time it takes for an amplitude of 0.75 mm to reach 0.1 mm.
The amplitude will reach 0.1 mm in about 7 seconds.
The amplitude will reach 0.1 mm in about 7 seconds.
The amplitude will reach 0.1 mm in about 15 seconds.
The amplitude will reach 0.1 mm in about 15 seconds.
The amplitude will reach 0.1 mm in about 1.5 seconds.
The amplitude will reach 0.1 mm in about 1.5 seconds.
The amplitude will reach 0.1 mm in about 3 seconds.
Answers
The the product of the initial amplitude and the exponential decay rate
of raised to the power of the time taken give the amplitude of 0.1 mm.
Correct option:
The amplitude will reach 0.1 mm in about 7 secondsWhat is the exponential decay rate and how is it used?The given parameters are;
The initial amplitude = 0.75 mm
The decay rate, i = 25%
Required:
The time it takes the guitar to decay to 0.1 mm.
Solution:
The series of the sizes of the amplitude that has constant decay uses an
exponential decay formula.
When the amplitude is 0.1 mm, we have;
y = a·rⁿ
Where;
r = 1 - i
a = 0.75
n = The time taken
Which gives;
r = 1 - 0.25 = 0.75
y = 0.1 = 0.75 × 0.75ⁿ
[tex]\dfrac{0.1}{0.75} = \mathbf{0.75^{n}}[/tex]
[tex]n = \dfrac{ln\left( \dfrac{0.1}{0.75} \right)}{ln(0.75)} \approx \mathbf{7.0}[/tex]n = 7.0
The time it takes the amplitude to reach 0.1 mm is 7 seconds.Learn more about exponential growth and decay formula here:
https://brainly.com/question/2193820
Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation? 3x-10=2
Answers
Answer:
3x - 10 = 2
3x = 2 + 10
3x = 12
÷3 = ÷3
x = 4
Answer:
The answer is 4
Step-by-step explanation:
3*4=12
12-10=2
which of the following is a true statement?
Answers
Answer:
3/8 less than 1/2 is correct
Step-by-step explanation:
Explanation: Multiply right side with 4
Determine the slope and the y-intercept of the following equation.
2x + 7y = 8
Answers
Answer:
the slope = -2/7
the y-intercept = 8/7
Step-by-step explanation:
Rewrite the equation to a slope-intercept form:
7y = 8 - 2x
7y = -2x + 8
[tex]y=-\frac{2}{7}x+\frac{8}{7}[/tex]
so the slope = -2/7
the y-intercept = 8/7
screenshot, don't really need aanswer, just to test if any of you guys can do it
Answers
Answer:
it's a hard one
Step-by-step explanation:
I don't know either
ayudaaaa y le regalo coronitaaaaaaaaaaaaa porfa
Answers
Step-by-step explanation:
4. 0.9
5. 0.4
6. 0.21
hope this helps you.
Step-by-step explanation:
This is the way to do this I hope it will help you!!
[tex]\sqrt[3]{8.01}[/tex] Approximate
Answers
2.83 * 3 = 8.49 (the is an approximate)
8.49 is your answer.
Hope that helps!
If 9x + 12 = 48 what is x-10?
Answers
Answer:
x - 10 = -6
Step-by-step explanation:
9x + 12 = 48
Subtract 12 from both sides.
9x + 12 = 48
- 12 - 12
+ 12 and - 12 cancel out. 48 - 12 is 36.
9x = 36
Divide 9 from both sides.
9x = 36
÷ 9 ÷ 9
9 ÷ 9 cancels out. x is left. 36 ÷ 9 is 4.
x = 4
Knowing x = 4, solve the equation.
x - 10 = ?
Plug in 4.
4 - 10 = -6
4 - 10 equals -6. This is your answer.
Hope this helped!
Answer:
i)
9x + 12 = 48
or,9x=48-12
or,9x=36
or,x=36/9
or,x=4
Thus,the value of x is 4.
ii)
x-10
=4-10(Putting x as 4)
=-6
Mariah fills 7 pillows with feathers. Each pillow weighs 3/4 pounds. What is the total weight of the 7 pillows?
Answers
The total weight of the 7 pillows is 5.25 lbs.
At a university 6 out of every 13 student live on campus if there are 156 students enroll how many lives on campus
Answers
Answer:
72
Step-by-step explanation:
156 ÷ 13 × 6 = 72
Hope this helps!
Good luck!
Answer:
156÷13=12(the number of 13s'in 156)
there are 12
12*6=72
seventy two students live on campus
can I have help pls
Answers
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answers
Answer:
10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x+y = 24
3x+5y = 100
We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...
3x+3y=72
3x+5y=100
Now, subtract the first equation from the second equation...
2y=28
Divide both sides by 2
y=14
Plug this back into any of the equations to solve for x...
x+14=24
x=10
There were 10 three-point questions and 14 five-point questions
What’s the length of this missing leg?
Answers
Answer:
b = 4.5 mm
Step-by-step explanation:
using Pythagoras theorem:
a² + b² = c²
4² + b² = 6²
b² = 6² - 4²
b² = 36 - 16
b² = 20
b = √20
b = 4.5
Pythagoras theorem:
a² + b² = c²
4² + b² = 6²
b² = 6² - 4²
b² = 36 - 16
b² = 20
b = [tex] \sqrt{20}[/tex]
b = 4.5
how personality can affect communication?
Answers
Answer:
Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues
Step-by-step explanation:
Review the attachments. Review the process of solving an equation and fill in the blanks.
Answers
Answer:
1) Combine like terms
2) [tex]\sqrt[3]{x} =3[/tex]
3) cube both sides of the equation
4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]
5) 4(3) + 8(3) = 36
Step-by-step explanation:
1) Combine like terms
2) [tex]\sqrt[3]{x} =3[/tex]
3) cube both sides of the equation
4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]
5) 4(3) + 8(3) = 36
At a horseback riding competition in the Olympics, each rider receives a score from 2 judges’
scores. Maddy was one of the riders in the competition. If one judge awarded Maddy a score
of 87, and Maddy’s final score was 84.5, what score did the other judge award Maddy?
Answers
Answer: 82
Step-by-step explanation:
Let the score that the other judge gave Maddy be M
We get the equation
(87+M)/2 = 84.5
87+M = 169
M = 82
What would be the area of a triangle with a base of 5 cm and a height of 8 cm?
Answers
Answer:
20
Step-by-step explanation:
the area of a triangle is 1/2 base times hight (a=1/2bh)
Answer:
20 cm squared
Step-by-step explanation:
The formula is Area equals (base times height) divided by 2, so (5*8)/2=20
Solve for b in the equation: 2b + 3c = A
Answers
Answer:
b = (A - 3C)/2
Step-by-step explanation:
2b = A - 3C
b = (A - 3C)/2
Some people attended a small concert last Saturday. 70 of those people sat in the balcony
of the theater. This was 35% of the people who attended. How many people were at the
concert?
Answers
Answer:
200
Step-by-step explanation:
If 'a' is the total attendance, the given relation is ...
70 = 0.35a . . . . . . 70 is 35% of attendance
Dividing by the coefficient of 'a', we find the attendance was ...
70/0.35 = a = 200
200 people were at the concert.
Ani and her friends recorded their bowling shoe sizes. Which two bowling shoe sizes occurred most often? How many of Ani's bowling friends have size 6 1/2 shoes?
Answers
Answer:
5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.
Step-by-step explanation:
5 and 5 1/2 have the most dots, which means the most friends have those shoes. There are no dots above 6 1/2, meaning no friends have that shoe size.
The solution is, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.
What is data?Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted. A datum is an individual value in a collection of data .
here, we have,
from the given data, we get,
the given information, gives,
5 and 5 1/2 have the most dots, which means the most friends have those shoes.
There are no dots above 6 1/2, meaning no friends have that shoe size.
Hence, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.
To learn more on data click:
https://brainly.com/question/15460146
#SPJ2
Nancy mistakenly measured the temperature of a heated liquid to be 48°C. The actual
temperature of the headed liquid was 50°C. What was the percent error?
Answers
Answer:
4.17% (nearest hundredth)
Step-by-step explanation:
percent change = [ (difference between initial value and final value) ÷ initial value] x 100
⇒ percent change = [ (50 - 48) ÷ 48 ] x 100 = 4.17% (nearest hundredth)
Convert from exponential form to logarithmic form:
Question 1 options:
log27(3)=3
log3(3)=27
log3(27)=327
log3(27)=3
Question 2 (1 point)
Translate from Logarithmic Form to exponential form: log2(8)=3
Question 2 options:
23=8
32=8
82=3
28=3
Question 3 (1 point)
Solve for the missing info: log4 __ =3
Answers
Answer:
1)[tex]3^3=27[/tex]
2)[tex]2^3=8[/tex]
3)64
Step-by-step explanation:
please help i dont understand these and i need help
you have to find missing numbers with geometric mean
Answers
Answer:
it is 200
Step-by-step explanation:
2 take 2 add 20 add a sec 0
Help me please I beg
Answers
Work: 4+5+3+4= 16
16/4 = 4
But that is the average for the numbers on the chart.
Question 3 of 10
Find the sum: (x2 + 2x + 3) + (3x2 + x + 1)
+
i need help
Answers
Answer:
Combine like terms
x^2 + 2x + 3 + 3x^2 + x + 1
4x^2 + 3x + 4
when the sample size n is large, the standard deviation of x-bar is approximately the same as the standard deviation from which the sample is taken. True or False?
Answers
Answer:
False
Step-by-step explanation:
By the Central Limit Theorem, as the sample size [tex]n[/tex] gets larger, the smaller the standard deviation [tex]\sigma[/tex] of the sampling distribution gets.
IL GIVE BRAINELST
Indigenous peoples ate only the meat from buffaloes and threw the carcass away.
True False
Answers
Answer:
false
Step-by-step explanation:
Answer:
False is the one you would choose.
Step-by-step explanation:
A line passes through the points (3,5) and (4,9), What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
Answers
Answer:
y = 4x-7
Step-by-step explanation:
slope = difference of y-values / difference of x-values
= (9-5) / (4-3)
= 4/1
select a point to use in the slope-intercept form of a line: y = mx + b where 'm' is the slope and 'b' is the y-intercept
(3,5)
5 = 4(3) + b
5 = 12 + b
-7 = b
slope is 4 and y-intercept is -7
y = 4x-7
Identify the correct solution to the problem 5 x 3/4
Answers
Answer:
3.75
Step-by-step explanation:
5 × 3/4
= 15/4
= 3.75
Hope it helps ⚜