Andrea and Damian are collecting clothing items to donate. When they begin tracking their progress, Damian already has 5 items collected. Damian's goal is to collect 3 items per day, and Andrea's goal is to collect 4 items per day.
Answers
Answer:
5 days
Step-by-step explanation:
Given
Damian
\(Base\ Items = 5\)
\(Rate = 3\) daily
Andrea
\(Rate =4\) daily
Required [Missing from the question]
How long will they get the same number of items
Represent the number of items with x and the days with y.
So:
For Damian
\(y = Base\ Items + Rate * x\)
\(y = 5 + 3 * x\)
\(y = 5 + 3 x\)
For Andrea
\(y = Rate * x\)
\(y = 4* x\)
\(y = 4x\)
Equate both expressions.
\(4x = 5 + 3x\)
Collect like terms
\(4x - 3x = 5\)
\(x = 5\)
Hence, they will have equal amount of items after 5 days
Related Questions
Consolidated Edison has just paid an annual dividend of $3 per share. If the expected growth rate for Con Ed is 10%, and your required rate of return is 16%, how much are you willing to pay for this stock
Answers
Based on the given information, the calculation of the stock's intrinsic value suggests that you would be willing to pay a certain amount for Consolidated Edison stock. The annual dividend is $3 per share, with an expected growth rate of 10% and a required rate of return of 16%.
To determine the intrinsic value of a stock using the dividend growth model, you can use the formula: Intrinsic Value = Dividend / (Required Rate of Return - Growth Rate). Applying this formula, the intrinsic value of the stock can be calculated as follows: $3 / (0.16 - 0.10) = $3 / 0.06 = $50.
Therefore, based on the given information, you would be willing to pay up to $50 for Consolidated Edison stock. It is important to note that this calculation assumes a constant growth rate and does not account for other factors that may influence the stock's value, such as market conditions, company performance, or industry trends. It is always advisable to conduct further research and analysis before making any investment decisions.
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Which of these ordered pairs is a solution of 3x−y=12? Choose all that apply.
Answers
The angle formed by the line of sight and the horizontal line can best be described as a(n)
Answers
The angle formed by the line of sight and the horizontal line can best be described as an angle of elevation.
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
The angle of elevation is says to be the angle made between a horizontal plane and a straight line to a given object that is elevated off the ground.
Therefore, the angle formed by the line of sight and the horizontal line can best be described as an angle of elevation.
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"how
would i calculate percentage difference for part B and for
procedure C how do i get the Req parallel and the percentage
difference for it
PROCEDURE A: Ohm's Law \[ \begin{array}{l} \mathbf{R}_{1}: 3005 \% \\ \mathbf{R}_{2}: 16005 \% \\ \mathbf{R}_{3}: 22005 \% \end{array} \] Slope(include units) : Y-Intercept: Correlation Coefficient: R"
Answers
To find the percentage difference for part B and procedure C and to get the Req parallel and percentage difference for
The formula to find percentage difference is:(New Value - Old Value) / Old Value x 100To find the percentage difference for part B, follow the steps below: Old Value = 3005New Value = 16005Percentage Difference = (16005 - 3005) / 3005 x 100Percentage Difference = 433.27%Procedure C Percentage Difference. The formula to find percentage difference is:(New Value - Old Value) / Old Value x 100
To find the percentage difference for procedure C, follow the steps below: Old Value = 16005New Value = 22005Percentage Difference = (22005 - 16005) / 16005 x 100Percentage Difference = 37.48%Req ParallelThe formula to calculate Req parallel is:Req = (R1 * R2 * R3) / (R1R2 + R2R3 + R3R1)Req = (3005 * 16005 * 22005) / (3005 * 16005 + 16005 * 22005 + 22005 * 3005)Req = 750.79Ω
Percentage Difference for Req Parallel. The formula to find percentage difference is:(New Value - Old Value) / Old Value x 100To find the percentage difference for Req parallel, follow the steps below:Old Value = 750.79New Value = 1501.58Percentage Difference = (1501.58 - 750.79) / 750.79 x 100Percentage Difference = 99.81%
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(35) MOVIE RENTALS The number of copies of a movie rented at a video kiosk decreased at a constant rate of 5 copies per week. The 6th week after the movie was released 4 copies were rented. How many copies were rented during the second week?
Answers
Answer:
25 copies rented
Step-by-step explanation:
r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start
we know on the 6 weeks passed and 4 copies were rented
4 = r1 - 5(6)
4 = r1 - 30; add 30 on both sides
34 = r1
r = 34 - 5t now plug t = 2 in for this function
r = 34 - 5(2)
r = 35 - 10
r = 25 copies rented
Katelyn bought 3 packages of ground beef. The packages weighed 2.65 lb, 1.85 lb, and 2.46 lb. She divided the ground beef into 4 packages, each the same weight. How many pounds of ground beef were in each package?
Answers
Answer:
1.74 pounds
Step-by-step explanation:
2.65 + 1.85 + 2.46 = 6.96
6.96/4=1.74
what is the sum of the interior angles of an equilateral triangle?
Answers
on average, what value is expected for the t statistic when the null hypothesis is true?
Answers
Answer:
0
Step-by-step explanation:
Alex was thinking of a number. Alex doubles it
,then adds to get an answer or 22.7. What was the original number?
Answers
Answer:
5.675
Step-by-step explanation:
22.7/2= 11.35
11.35/2= 5.675
HELP! I need an answer asap
Answers
Answer:
1c
2b
3a
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
1. C
2. B
3. A
Question 5 About 9% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 500. Round your answer to three decimal places
Answers
Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.
To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.
Given:
Probability of having the genetic mutation (p) = 0.09
Sample size (n) = 500
The standard deviation (σ) of a binomial distribution is calculated using the formula:
σ = √(n * p * (1 - p))
Substituting the given values:
σ = √(500 * 0.09 * (1 - 0.09))
Calculating the standard deviation:
σ ≈ 6.726 (rounded to three decimal places)
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If m∠2 = 120°, what is m∠7?
Answers
if angle m∠2 = 120°, then m∠7 is 120°.
What are Angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Supplementary angles are those angles that sum up to 180 degrees.
Given that m∠2 = 120°.
We have to find the m∠7.
m∠2 and m∠4 are supplementary angles.
120+m∠4=180
m∠4=60 degrees.
m∠4 is corresponding angle of m∠8.
m∠8 and m∠7 are again supplementary angles.
60+m∠7=180
m∠7=120 degrees.
Hence, if angle m∠2 = 120°, then m∠7 is 120°.
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State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule
Answers
Answer:
c) similar by the AA rule
DIRECT METHODS TO SOLVE LINEAR SYSTEMS (551 MATH) Exercise 1. (18 marks) In all this problem, the matrices are square. 1- Prove that the set of squares matrices M
n
(R) is an algebra with dimension n
2
and gives a basis of it. 2- Prove that the subset of invertible matrices of M
n
(R) is closed by multiplication but not closed by addition. Deduce that this subset is not a subspace. 3- Let D∈M
n
(R) be a diagonal and invertible matrix. Give directly its inverse D
−1
. 4- If A is a triangular and invertible matrix, how to find its inverse A
−1
? 5- Prove that a product or a sum of lower triangular matrices is a lower triangular matrix. Using the transpose, deduce the same property for upper triangular matrices. 6- Prove that the set of lower triangular matrices is a subalgebra of M
n
(R) and find its dimension. Deduce the same property for the set of upper triangular matrices. 7- Prove the equality: ∀x,y∈R,⟨Ax,y⟩=⟨x,A
T
y⟩, where A
T
is the transpose of A. 8- A symmetric matrix is a matrix satisfying A=A
T
. Prove that the subset of the symmetric matrices is a subspace of M
n
(R). Give its dimension. 9. Prove that (AB)
T
=B
T
A
T
. 10- Prove that the inverse of the transpose is the transpose of the inverse: (A
T
)
−1
= (A
−1
)
T
11- Prove that a positive definite matrix is invertible. 12- Let A∈M
n
(R) be a positive definite matrix. Prove the following: a) a
ii
>0,∀i=1,…,n. b) max
i,j
∣a
ij
∣=max∣a
ii
∣.
Answers
The subset of symmetric matrices in M_n(R) forms a subspace of dimension n(n+1)/2.
1. The set of square matrices M_n(R) is an algebra with dimension n^2 because it satisfies the algebraic properties of closure under addition and multiplication. The basis can be constructed by considering the matrices with 1's at different positions and 0's elsewhere.
2. The subset of invertible matrices in M_n(R) is closed under multiplication because the product of two invertible matrices is invertible. However, it is not closed under addition since the sum of two invertible matrices may not be invertible. Thus, it does not satisfy the properties of a subspace.
3. The inverse of a diagonal invertible matrix D can be obtained directly by taking the reciprocal of each diagonal entry. The resulting matrix D^-1 will have the reciprocal of the diagonal entries as its new diagonal entries.
4. To find the inverse of a triangular invertible matrix A, one can use backward substitution or forward substitution depending on whether A is upper triangular or lower triangular. These methods involve solving a system of linear equations with the given triangular matrix.
5. The product or sum of lower triangular matrices is a lower triangular matrix because multiplying or adding two lower triangular matrices preserves the zeros below the main diagonal. By utilizing the transpose operation, the same property can be deduced for upper triangular matrices.
6. The set of lower triangular matrices forms a subalgebra of M_n(R) because it is closed under addition and multiplication. Its dimension can be determined to be n(n+1)/2, as it contains n(n+1)/2 free parameters that define the entries below the main diagonal. The same properties hold for the set of upper triangular matrices.
7. The equality ⟨Ax, y⟩ = ⟨x, A^T y⟩ holds for any x, y in R, where ⟨⋅, ⋅⟩ represents the dot product. This equality can be proven by manipulating the dot product using the properties of matrix multiplication and transposition.
8. The subset of symmetric matrices in M_n(R) forms a subspace.
9. The transpose of the product AB is given by (AB)^T = B^T A^T.
10. The inverse of the transpose of a matrix A is equal to the transpose of the inverse: (A^T)^-1 = (A^-1)^T.
11. A positive definite matrix is invertible.
12. For a positive definite matrix A: a) all diagonal entries a_ii are positive, and b) the maximum absolute value of a_ij is equal to the maximum absolute value of a_ii.
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mod katie sampah kasih warn ke gw terus anj lu
9²+6²
ampe ga bisa dijawab bule iq nya 0
Answers
9² + 6²
→ 81 + 36
→ 117
Answer : 117
Can someone answer this for e pleaseeeee
Answers
Answer: 220
Step-by-step explanation:
What is the slope of the line that contains these points?
�
xx
9
99
13
1313
17
1717
21
2121
�
yy
−
24
−24minus, 24
−
21
−21minus, 21
−
18
−18minus, 18
−
15
−15
Answers
The slope of the line that contains these points is 0.75.
The slope of a line is the change in y-values divided by the change in x-values. In other words, it is the rise over the run. We can use the points given to calculate the slope.
Let's take the first two points (9, -24) and (13, -21) and use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
slope = (-21 - (-24)) / (13 - 9)
slope = (3) / (4)
slope = 0.75
We can do the same with the other two points (17, -18) and (21, -15):
slope = (-15 - (-18)) / (21 - 17)
slope = (3) / (4)
slope = 0.75
Since the slope is the same for both sets of points, we can conclude that the slope of the line that contains these points is 0.75.
The slope of the line that contains these points is 0.75.
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18. If f(x) = arccos(x^2), then f'(x) =
Answers
The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)
The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.
First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.
Now we'll apply the chain rule. We have:
f'(x) = (derivative of outer function) * (derivative of inner function)
f'(x) = (-1/√(1-u^2)) * (2x)
Since u = x^2, we'll substitute that back into our equation:
f'(x) = (-1/√(1-x^4)) * (2x)
So, the derivative of f(x) = arccos(x^2) is:
f'(x) = -2x / √(1-x^4)
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Four graphs are shown below:
Which graph represents a positive nonlinear association between x and y?
Graph A
Graph B
Graph C
Graph D
Answers
It is graph A
pls help with my problem!
Answers
Explanation:
To find the volume of this triangular prism we should the formula base times height equals volume. Let’s say the base of the prism is the triangle. We need to find the area of the triangle so we can use the formula base times height divided by two. The base of the triangle is 5 and the height is 9. So 9x5=45 and then we divide this number by 2.
45/2 is 22.5m
So now we have the base for our formula and now we need the height. We can see 10m stretched across the prism so we can assume that is our height.
So we take our base (22.5m) and multiply it by out height (10m) to find our volume.
22.5 x 10 = 225
So the volume is 225m
Hope this helps!
suppose of the ten debate team members there are only two members who may be assigned position five in the debate. any member may be assigned positions one through four. in how many ways can the five members be chosen?
Answers
There are 45 possible choices for the five members.
There are ten people on the debate team, but only two of them can be in position 5. Positions 1 through 4 can be filled by any 10 members. Using the combination formula nCr, where n is the total number of items and r is the number of items chosen from that set, we can determine the number of ways to select these five members.
In this instance, we have 10C2, which simplifies to 10!/(2!(10-2)!)) or 10 items chosen from a set of 10. This can be reduced to 45, or 109/2. As a result, there are 45 ways to select the five debate team members.
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Miguel made 6 identical necklaces each, having beads and a pendant. The total cost of the beads and the pendant for all 6 necklaces was $29.40. If the beads cost a total of $19.80, how much did each pendant cost?
Answers
Answer:
29.40-19.80=9.6
9.6/6=1.6
So the answer is $1.60
Step-by-step explanation:
Find the least common denominator \(\frac{3}{9} \frac{8}{4}\)
Answers
Answer:
36 is your least common denominator. Hope this helps
Step-by-step explanation:
What is the 4th term in the sequence a(n)=-1/16(2)n-1
Answers
Answer: =−0.889
Step-by-step explanation:
math
At a carnival, Hayley gets to spin a prize wheel. It has a radius of 8 inches. What is the prize wheel's area?
Answers
Answer:
201.06in^2
Step-by-step explanation:
Use area formula which is pi(r)^2
Answer:
200.96 in.
Step-by-step explanation:
**THE PRIZE WHEEL IS THE SHAPE OF A CIRCLE.**
The formula for area of a circle is: πr² (3.14 × radius × radius).
**3.14 IS COMMONLY USED FOR PI**
According to the word problem, the prize wheel has a radius of 8.
πr² (3.14 × radius × radius)
π8² (3.14 × 8 × 8) = 200.96
Therefore, the area of the prize wheel is 200.96 in.
what is the slop of line n
Answers
Answer:
For line n, m=1/2
Step-by-step explanation:
The line goes up 1 for every 2 to the right.
Answer:
1/2
Step-by-step explanation:
If you count from the origin to a point line N touches. You get up 1 and right 2. Slope = rise/run meaning slope = 1/2
If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP
Answers
Answer:
Step-by-step explanation:
To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.
1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.
2). Join the point of intersection of these arcs to A and B with the help of a straightedge.
3). Hence an equilateral triangle (with all equal sides) is constructed.
Julie gets a pre-paid cell phone. Initially she has $40 balance on the phone. She talked to her mom for 5 minutes and her balance is now $39.25. She talked to her sister for 30 minutes and her balance is now $34.75. What will her balance be after she has talked for 75 minutes? A painter is going to charge $90 for paint. Painting your bedroom takes 1 hour and costs $125. Painting your kitchen takes 4 hours and costs $230. How much will it cost to paint the outside of your house if it will take 10 hours?
Which problem is linear? And show the equation table slope calculation after you figured out which problem is linear
Answers
The relationship between the balance in the phone and the number of
minutes of talking is a linear relationship.
Her balance after talking for 75 minutes is $28.75The cost to paint the outside of the house is $350Reasons:
First question
Initial balance in Julie's phone = $40
The balance after talking for 5 minutes = $39.25
Her balance after talking for 30 minutes = $34.75
Required:
Her balance after she has talked for 75 minutes
Solution:
\(The \ rate \ of \ change \ of \ her \ balance =\dfrac{34.75 - 39.25}{35 - 5 } = -0.15\)
Therefore, the rate of change of her balance with time = -0.15 Dollars/minute
The equation for her balance is; y - 39.25 = -0.15 × (x - 5)
y = -0.15·x + 0.75 + 39.25 = -0.15·x + 40
y = 40 - 0.15·x
When x = 75, y = 40 - 0.15×75 = 28.75
Her balance after talking for 75 minutes = $28.75Second question:
The amount charged for paint = $90
Number of hours to paint the bedroom = 1 hour
Cost to paint the bedroom = $125
Number of hours to paint the kitchen = 4 hour
Cost to paint the kitchen = $230
The cost to paint per hour is therefore;
\(Cost \ per \ hour =\dfrac{230- 125}{4 - 1 } = 35\)
The cost to paint per hour = $35 /hour
The cost to paint the outside for 10 hours = 10 × $35 = $350Learn more here:
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Westin is comparing the triangles below.
Triangle F G H. Side G H is 4 centimeters, angle G is 117 degrees, and angle H is 27 degrees. Triangle J L K. Side J L is 8 centimeters, angle J is 27 degrees, and angle L is 117 degrees.
He uses the similarity statement Triangle H G F is similar to triangle L J K. Which best describes the accuracy of Westin’s statement?
Accurate. HG and LJ are proportional.
Inaccurate. HG and LJ are not corresponding sides.
Inaccurate. The sides are not proportional. There is no common ratio between the sides.
Inaccurate. The angles in the order listed do not correspond.
Answers
Answer:
It is Inaccurate: The angles in the order listed do not correspond. I just took the test
Answer:
Inaccurate. The angles in the order listed do not correspond.
Step-by-step explanation:
I am doing the test rn and I think this is the right answer
Number of miles driven in a week.
Person. Miles
Vani 30
Ryan 18
Fatoumata 42
For every ___ miles Vani drove, Ryan drove __ miles.
Answers
The number of miles driven by Taub in a week is 3 times the number of miles driven by Valeria in a week.
How to express ratio in simplest form?The United States Department of Transportation Federal Highway Administration said that the average driver traveled 12,724 miles in 2020. That's down from 14,263 average annual miles in 2019. The 2020 average equates to 1,060 miles per month per driver, or about 35 miles per day.Although it's possible, you cannot drive 1000 miles in a day safely with a single driver. This would involve approximately 16 hours of driving before accounting for traffic and rest stops. Assuming a total travel time of 20 hours, you would need to depart in the early hours and share the driving.Often, 100,000 miles is considered a cut-off point for used cars because older vehicles often start requiring more expensive and frequent maintenance when mileage exceeds 100,000.The average American spends 18 days driving per year, with an average of eight hours and 22 minutes per week, a OnePoll study conducted on behalf of Cooper Tire found.Number of miles driven by each person in a week:
Valeria = 7
Taub = 21
Ruby = 35
Number of miles driven by Taub : Number of miles driven by Valeria
= 21 : 7
= 21/7
= 3/1
= 3 : 1
Therefore, the number of miles driven by Taub : number of miles driven by Valeria in a week is 3 : 1 in it's simplest form.
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