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:
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help!! Please !! Thank you if you help
GIVING BRAINIEST IF CORRECT!!!!
Kelsey and Jeffrey were deciding how best to factor the expression 4x^2 - 100. Kelsey said this is a GCF question, but Jeffrey said it is a DOTS question. Who is correct and why?
Answer:
4 ( x - 5 ) x ( x + 5 )
Step-by-step explanation:
1- Factor the expression
2- Factor the expression
Answer:
They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.
Step-by-step explanation:
4x^2 -100
[tex]4(x ^{2} - 25)[/tex]
This would be finding the Greatest common factor
[tex]4(x - 5)(x + 5)[/tex]
This would be finding the difference of two squares
hopefully this is a good enough explanation
Ok ease
Please please help me
Answer:
1 / 5^7 the last one is correct
Answer:
I checked and the person above is correct
Please help
Me with this!
Answer:
22
Step-by-step explanation:
Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...
(3x +45) > (7x -45)
90 > 4x . . . . . . . . . . . add 45 -3x to both sides
22.5 > x . . . . . . . . . . divide by 4
The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.
_____
Additional comment
If Jake normally delivers more than 45 papers, then we must also have ...
7x > 45
x > 6 3/7
There must be at least 7 houses on each street.
100 points!!!
Find the domain and range of the relation show on the graph
Answer:
The domain of the relation is 0 ≤ x ≤ 4
The range of the relation is all real numbers (-∞, ∞)
Step-by-step explanation:
Domain : the set of possible x-values (the "input" values)
Range : the set of y-values (the "output" values)
The domain of the relation is 0 ≤ x ≤ 4
The range of the relation is all real numbers (-∞, ∞)
How to identify domain and range from coordinate pairs?
If x,y is a pair then x is domain and y is range.Here
Domain is [0,4]Here range is
(-oo,oo)Nuka is weaving beaded strips. The double number line shows that they can weave 7 cm of the strip in 4
minutes.
4
+
+
0
Time
A
(minutes)
Length
(cm)
H
0
+ +
7
Based on the ratio shown in the double number line, what length can Nuka weave in 5 minutes?
cm
Report a problem
Number lines are used to represent numbers and ratios using regular intervals
Nuka can weave 8.75 cm of strip in 5 minutes
How to determine the length of stripRepresent the ratio with:
Ratio = Length : Time
From the number line, they can weave 7cm of the strip in 4 minutes.
So, we have:
Ratio = 7cm : 4 minutes
Represent the length of strip made in 5 minutes with x.
So, we have:
x : 5 minutes = 7cm : 4 minutes
Remove the common units
x : 5 = 7cm : 4
Express as fraction
[tex]\frac x5 = \frac 74[/tex]
Divide 7 by 4
[tex]\frac x5 = 1.75[/tex]
Multiply through by 5
[tex]x= 8.75[/tex]
Hence, Nuka can weave 8.75 cm of strip in 5 minutes
Read more about double number lines at:
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Activity
In this activity, you will first find the cubes of positive and negative numbers and
then find whether the solution to an equation is a perfect cube.
Question 1
Part A
Complete the table by cubing each positive x-value.
PLS HELPPP???!!
Answer:
2 8
3 27
4 64
5 125
6 204
7 343
8 512
9 729
10 1000
The number of calories in a sample of hamburgers from six fast food restaurants are
360 310 280 330 310 340
What is the mean
Answer:
The mean is 321.67 which can be rounded to 321.7 or 322
Step-by-step explanation:
360+310+280+330+310+340 = 1930
1930 / 6 = 321.666666667
The mean is 321.67 which can be rounded to 321.7 or 322
Hope this helps!
(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) =
Answer:
See below.
Step-by-step explanation:
(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)
5a^2+4ab-3b^2+5ab-4b^2-3a^2
(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)
2a^2+9ab-7b^2
-hope it helps
Answer:
You can answer this with modern calculators very easily.
Use the given point on the circle to find the value of cosine. Recall r=sqrt x^2+y^2 and cos 0=x/y
Answer:
cosine=-1/2
Step-by-step explanation:
If (-3, y) lies on the graph of y = 3^x, then y =
-1
1/27
-27
Answer:
1/27
Step-by-step explanation:
If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y
They gave us that x is -3 (the first number in an ordered pair is the x).
y = 3^x
y = 3^(-3)
y = 1/(3^3)
**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**
y = 1/27
Because3^3 is 3×3×3 is 27
PLease hurry! i need it! And the testing thing is happening, so before 6 pm?
Answer:
y = 6
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]
Step 1: Substitute the second equation into the first and solve for x.
[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]
Step 2: Substitute 9 as the value of x in any equation and solve for y.
[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]
The solution to the given system of equations is (9, 6).
Learn more here:
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(image is question) ................................
Answer:
2x^2
Step-by-step explanation:
If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.
directions write s if the set is similar fraction and d if the set is dissimilar fraction
Answer:
Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.
Step-by-step explanation:
hope it helps you
what is ...(minus the given fractions and answer the answer as a fraction)
1/10 - 1/100
3/4 - 3/8
Answer:
−9583333/10000000
Step-by-step explanation:
find the value of a and b when x=10
Answer:
Step-by-step explanation:
a = [tex]\frac{5*10^2}{2}[/tex] = 250
b = [tex]\frac{2*10^2 (10-5)}{10*10}[/tex] = 10
Answer:
A = 500
[tex]b = 2 {x}^{3} - \frac {{x}^{2} }{10} [/tex]
This is urgent 1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
How many monkeys are in the trees? Use a 10-squares model to explain your answer.
please answer
Answer:
30 Monkeys 50 trees
explanation:
Your welcome
The number of monkeys in the trees is 24.
What are percentages?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
The number of monkeys in the trees = 60% x 40
= 0.6 x 40 = 24
To learn more about percentages, please check: https://brainly.com/question/25764815
V=lxwxh……………………….::::
Answer:
below
Step-by-step explanation:
6x6x3=108
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Twenty-three more than three times a number is equal to the difference between -32 and twice the number. Find the number.
Answer:
the answer would be -202
Step-by-step explanation:
since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202
what are the factors of -30 and the sum of 4?
Answer:
Answer: 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime factorization: 30 = 2 x 3 x 5.
Step-by-step explanation:
Still stuck? Get 1-on-1 help from an expert tutor now.
Answer: 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime facto...... 30 = 2 x 3 x 5.
sorry if im wrong and have a wonderful day!!!!!
If (x) = 3x - 2 and g(x) = 2x + 1, find (1-7)(x).
A. X-3
B. 5x - 3
C. 3- x
D. 5x - 1
Answer:
A
Step-by-step explanation:
f - g = (3x - 2) - (2x + 1) = x - 3
A
write 34.24 as a mixed numbers
Answer:
34 6/25
Step-by-step explanation:
A mixed number is a whole number in front of a fraction. Keep 34 as the whole number. .24 is really 24/100, but you can simplify it to 6/25.
PLS ANSWER !!! TYYYYY
Answer:
[tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]
Step-by-step explanation:
→ [tex]49-2ax-a^2-x^2[/tex]
→ [tex]-(x^2+a^2+2ax-49)[/tex]
→ [tex]-\left(\left(2xa-49\right)+\left(x^2+a^2\right)\right)[/tex]
→ [tex]-\left(2xa-49+x^2+a^2\right)[/tex]
→ [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]
→ [tex]-\left(x+a+7\right)\left(x+a-7\right)[/tex]
For the past two weeks, Benita has been recording the number of people
at Eastside Park at lunchtime. During that time, there were 50 or more
people at the park 9 out of 14 days.
What is the experimental probability that there will be 50 or more people at the park during lunchtime on the fifteenth day?
Answer:
a)9/14
b)5/14
Step-by-step explanation:
For the past two weeks, Benita has been recording the number of people at Eastside Park at lunchtime
How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?
Answer: 3 gallons of water
Step-by-step explanation:
3 gallons of alcohol +3 gallons of water = 6 gallons total
alcohol = 3/6 = 50%
If correct Brainliest
Answer:
11y+22
Step-by-step explanation:
Answer and Step-by-step explanation:
For this equation, you need to use the distributive property. Before we can solve this, we need to know what the distributive property is. (Important:) The distribute property is where a number is directly outside the parenthesis and is multiplied to each number inside the parenthesis.
With that being said, let's rewrite this expression. Because 11 is outside the parenthesis, multiply it to each of the numbers inside the parenthesis. The numbers 11 x 2 = 22, so:
(y + 2)11 = 11y + 22.
We can remove the parenthesis now that the equation has changed. The reason why the 11 is in front of the y is because it is a coefficient. Coefficients always are written before a variable, which is the y in this case.
So, the answer is 11y + 22.
I hope that this helps.
Explain how you can use fractions greater than 1 to subtract mixed numbers.
Celia will be celebrating her 18th birthday. She plans to purchase coin purses as give away gifts A purse costs 50 pesos. How much will the number of coin purses (n) cost if the total cost i represented by A? Write the rule or equation of the situation and give at least 3 ordered pairs.
PLSSS PATULONG PO
Answer:
Rule: A=50n
Step-by-step explanation:
Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.
Our rule is: A=50n
Then we insert 3 values for n, and solve to get the ordered pairs.
n=3 purses, A=3*50=150 dollars
n=4 purses, A=200 dollars
n=5 purses, A=250 dollars
Square DEFG with vertices D(0,0).
E(2, 4), F(6,2), and G(4,-2):
k = 5/2
Dilation involves changing the size of a square
The vertices of the image are (0,0), (5,10), (15,5) and (10,-5)
How to determine the image of the squareThe vertices of the square are given as:
D(0,0), E(2, 4), F(6,2), and G(4,-2)
The scale factor (k) is given as:
k = 5/2
So, the image of the square is:
[tex]D' = 5/2 * (0,0) = (0,0)[/tex]
[tex]E' = 5/2 * (2, 4) = (5,10)[/tex]
[tex]F' = 5/2 * (6, 2) = (15,5)[/tex]
[tex]G' = 5/2 * (4,-2) = (10,-5)[/tex]
Hence, the vertices of the image are (0,0), (5,10), (15,5) and (10,-5)
Read more about dilation at:
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