To find the equation for Taylor's situation, we can start by defining some variables. Let's let "w" represent the number of weeks that have passed since Taylor started.
We can also let "a" represent Taylor's starting amount of money, which is $8. Now, we know that Taylor adds $10 every week. So after one week, Taylor will have a total of $18 ($8 + $10). After two weeks, Taylor will have a total of $28 ($8 + $10 + $10). And so on. We can see that Taylor's total amount of money after "w" weeks can be represented by the equation: Total amount = a + 10w. Plugging in the values we defined earlier, we get: Total amount = 8 + 10w
This is the equation for Taylor's situation.
It tells us that the total amount of money Taylor has after "w" weeks is equal to $8 plus $10 times the number of weeks that have passed. It's worth noting that we could also write this equation in slope-intercept form as: y = 10x + 8. Where "y" represents the total amount of money Taylor has and "x" represents the number of weeks that have passed. This equation shows us that the slope of the line (which represents how much Taylor's total amount of money increases each week) is 10, and the y-intercept (which represents Taylor's starting amount of money) is 8.
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NEED HELP ASAP!!! WILL MARK BARINLIEST!!!
Sally can paint a room in 9 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
working together, they can paint the room in 4 hrs 14 min
Step-by-step explanation:
Multiply both sides by 72x
8x+%2B+9x+=+72
17x+=+72
x+=+4.24 hrs
.24%2A60+=+14.4
working together, they can paint the room in 4 hrs 14 min
Pls help me find the answer to this problem. Don't show your work, just give the correct answer.
Answer:
(3bc)²Step-by-step explanation:
9b²c² = 3²b²c² =(3bc)²Used property of exponents
\(a^cb^c = (ab)^c\)Now we have to find,
The answer to this problem.
Then use the property of exponents,
→ \( \sf a^cb^c = (ab)^c\)
Let's find the solution,
→ 9b²c²
→ 3²b²c²
→ (3bc)²
Hence, (3bc)² is the answer.
I NEED HELP PLZ MY TEACHERS MAD AT ME
I got 119.7 x 10^6
Bc 21• 5.7= 119.7 so then I added the 10^6
A regular polygon is shown, with one of its angle measures labeled a.
If m∠a = (5z + 65)°, find the value of z.
z = 15
z = 20
z = 23
z = 41
The value of z in the regular nonagon is 15.
How to find the angles of a congruent polygon?A regular polygon is a polygon with congruent sides and equal angles.
If all the polygon sides and interior angles are equal, then they are known as regular polygons.
Therefore, the regular polygon above is a nonagon because it has 9 sides. Therefore, the sum of interior angles of a nonagon is 1260 degrees.
Hence, all the angles of the regular nonagon are congruent.
9 m∠a = 1260 degrees
m∠a = 5z + 65
9(5z + 65) = 1260
45z + 585 = 1260
45z = 1260 - 585
45z = 675
divide both sides by 45
z = 675 / 45
Therefore,
z = 15
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please help! I’m struggling
Answer: C
Step-by-step explanation:
If you look at the picture, you can see that it is decreasing from hour 3 to hour 4.
This means that from 3 < x < 4, it is decreasing.
Help^^^^^^^^^^^^^^^^^
Answer:
A) \(\frac{3}{8}\) and 24
Step-by-step explanation:
The coefficients are simply the numerical values that are multiplying the variables.
Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample A in meters? Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample B in meters? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively?
1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters
2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters
Since we know that the wavelength = speed of light / frequency
The speed of light is 3.00 × \(10^8\) meters per second.
For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;
wavelength of A = (3.00 × \(10^8\) m/s) / (4.30 × 10^15 Hz)
wavelength of A = 6.98 × \(10^{-8}\) meters
For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;
wavelength of B = (3.00 × \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)
wavelength of B = 3.45 × \(10^{-11}\) meters
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Dierdre’s work to solve a math problem is shown below. Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon? Step 1: 1 and one-half divided by 12 = n Step 2: Three-halves divided by 12 = n Step 3: Three-halves times StartFraction 1 Over 12 EndFraction = n Step 4: StartFraction 3 Over 24 EndFraction = n Answer: One-eighth = n What was Dierdre’s first error? She switched the divisor and the dividend in step 1 when creating an equation to model the problem. She used an improper fraction in step 2 that is not equivalent to 1 and one-half. She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal. She reduced the fraction in step 4 incorrectly.
Answer:
A. She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
Step-by-step explanation:
Answer: A
Step-by-step explanation: No Step-by-step explanation, just listen to me.
A factory begins the day with 6,000 packaged light bulbs. The machines in the factory can package 1,200 light bulbs every hour for the next 5 hours.
A. Number of Hours, x, Since the Day Began
0
5
Number of Packaged Light Bulbs, y
____
______
Question 2
Part B
Determine a linear function that models the relationship.
Question 3
Part C
The initial value of this function is ___
and the rate of change is ____
The given information is represented in the table as shown: Number of Hours, x, Since the Day Began0 5Number of Packaged Light Bulbs, y6,000 12,000Determine a linear function that models the relationship.
The number of packaged light bulbs is increasing linearly with respect to time. Therefore, we can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept, to model the relationship.
Let x be the number of hours since the day began and y be the number of packaged light bulbs. Using the given information, we can determine the slope of the line as follows: slope = (change in y)/(change in x) = (12,000 - 6,000)/(5 - 0) = 1,200Thus, the equation of the line is: y = 1,200x + b We can use the coordinates of a point on the line to find the y-intercept. From the table, we see that the factory begins the day with 6,000 packaged light bulbs, which means that the point (0, 6,000) lies on the line. Substituting x = 0 and y = 6,000 into the equation of the line, we get:6,000 = 1,200(0) + b Simplifying, we get: b = 6,000Thus, the equation of the line is: y = 1,200x + 6,000The initial value of this function is 6,000 and the rate of change is 1,200.
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need help with statistics plssssss
Answer:
where is the question . ..... we are ready to help you
please help meh i dont know the answer
Given that IK is a midsegment of AFGH, find GH.
A. GH = 2.5
B. GH = 10
C. GH = 12.5
D. GH = 15
Answer:
The answer is B. GH = 10 (100%).
Step-by-step explanation:
if dillon read 5 articles, how many social media posts did he read
Answer:
Not enough information to answer this question.
Please help! The answer D in the image below is incorrect!
From a prior national study, we are able to infer that the probability of a high school student going to college, when the parents make over $75,000 per year, is about 0.60. assume that toms river has 125 graduating seniors next year, and all the parents are assumed to make over $75,000. if six students are randomly selected, what is the probability that less than two of them will actually go to college?
The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.
Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.
Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.
Then the probability mass function of X is given by,\(P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014\)or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.
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Using the same situation you described in #3, now interpret what the part-to-part ratio 2:1 means in the situation. Use complete sentences in your answer
A part-to-part ratio of 2:1 is described for every two parts of one component, there is one part of another component. This ratio indicates a proportional relationship between the quantities of these components.
In the previously described situation, where there is a part-to-part ratio of 2:1, it signifies the relationship between the quantities of two components. Specifically, it means that for every two parts of Component A, there is one part of Component B. This ratio provides a clear understanding of the relative amounts or proportions of these components in the given context.
For instance, if we have a total of 6 parts in the mixture, the ratio of 2:1 indicates that out of these 6 parts, 4 parts belong to Component A, while 2 parts belong to Component B. This implies that Component A is present in a larger proportion compared to Component B.
By expressing the ratio as 2:1, we can easily visualize the distribution or allocation of these components. It allows us to infer that Component A is twice as abundant or twice as prevalent as Component B. This ratio aids in understanding the composition of the mixture and the relative significance of each component in terms of quantity.
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continuing with the bounds you found in part d, do two more iterations of approximations. what is the solution to the original equation?
The solution to the original equation is approximately 1.4422.
To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:
- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422
Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.
In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.
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True or false WXY is a right triangle.
Answer: True
Step-by-step explanation:
This triangle has 2 legs
leg a and leg b
and the longest side which is called the hypotenuse
Therefore this triangle fits the criteria of a right triangle
The triangle ΔWXY is a right angle triangle with sides √18 , √18 , √36
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the triangle be ΔWXY
Now , the sides of the triangle is
WX = √36
WY = √18
XY = √18
Now , for the triangle WXY to be a right angle triangle
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the value in the equation , we get
WX² = XY² + WY²
( √36 )² = ( √18 )² + ( √18 )²
36 = 18 + 18
36 = 36
Therefore , it is a right angle triangle
Hence ,
The triangle ΔWXY is a right angle triangle
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In circle M with m/LMN = 42°, find the m/LPN.
Check the picture below.
let's notice, ∡LMN is a central angle, thus the arcLN is the same 42°, whilst the inscribed ∡LPN is half that.
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answer:
The answer is "\(y\approx 1.4\)".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
The circle graph shows how Emily spent one hour using her iPhone. How many minutes did Emily spend on research?
Answer:
6minutes
Step-by-step explanation:
There is 60minutes in an hour sooo using an online calculator 10% of 60minutes is 6minutes
10% because when you add up everything other than research you get 90%. 90% for everything other than research so 10% for research. They then want it in minutes and they let us know that she spent an hour on her iphone so as stated that's how it works
I dont mind brainlest
SOMEONE PLZZZ HELP ME THIS IS DUE IN 5 MIN AND IM SO CONFUSED AND NO ONE WILL HELP ME PLZZ HELP!!!!!I WILL GIVE BRAINLEST!!!!!
Answer:
Graph as it says
Step-by-step explanation:
Its simple really, I'm assuming theres a box of points, so look at your box. Points will be labled as such example (3,5), You would have to plot those two points on the graph. Remember when plotting, your first number is your X axis. So you would go to the number three on the line in the middle (Not -3) and your Y axis is your last number, so you would look at the line that is in essence cutting the graph in half, and plot the number 5. (Not -5).
Answer:
Slope:
2/5
y-intercept:
(0,2)
Step-by-step explanation:
Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Which system of equations represents this situation?
Answer:
I'm sorry but I don't see any equations
Step-by-step explanation:
Tổng các góc của tứ giác bằng bao nhiêu
Answer:
tổng các góc của tứ giác bằng 360 độ
Step-by-step explanation:
ha? what language is that?
PLS ANSWER QUICK THX
Answer:
(1,49) (4,109)
109-49/4-1=60/3=20
49=20×1+b
29=b
f(c)=20h+29
evaluate the line integral along the path c given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. c x 3y2 dy
To evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1, we can follow these steps:
1. Rewrite the given integral in terms of t using the parameterization of the path: C: x = 2t, y = 4t.
2. Compute the derivatives dx/dt and dy/dt.
3. Substitute the parameterization and derivatives into the line integral.
4. Evaluate the integral over the specified interval.
Step 1:
The integral in terms of t is: ∫(3y² dy)
Step 2:
dx/dt = 2
dy/dt = 4
Step 3:
Substitute the parameterization and derivatives:
∫(3(4t)² * 4 dt) over the interval [0, 1]
Step 4:
Evaluate the integral:
∫(3 * 16t² * 4 dt) from 0 to 1
= 192 ∫(t² dt) from 0 to 1
Now, integrate and evaluate the integral:
= 192 * [1/3 * t^3] from 0 to 1
= 192 * (1/3 * 1^3 - 1/3 * 0^3)
= 64
So, the value of the line integral along the path C is 64.
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A 9-pack of golf balls costs $16.74. What is the unit price?
Answer:
$1.86
Step-by-step explanation:
9x = 16.74 .... x will be the unit price
isolate the variable, same on both sides....
9x/9 = 16.74/9
x = 1.86 (per golf ball or unit price)
Answer:$1.86
Step-by-step explanation:
16.74 divided by 9 = 1.86
Last year Reagan eamed $1,978 per month. If she worked for 7 months, about how much did Reagan earn last year?
x
Answer:
$13,846
Step-by-step explanation:
1,978 x 7 = 13,846
when a certain stretch of highway was rebuilt and straightened, the distance along the stretch was decreased by 20 percent and the speed limit was increased by 25 percent. by what percent was the driving time along this stretch reduced for a person who always drives at the speed limit?
The driving time along this stretch was reduced by 36% for a person who always drives at the speed limit.
To calculate the percent reduction in driving time along the stretch, we need to consider the effects of both the distance decrease and the speed increase.
First, let's assume the original distance of the stretch was D. After the reconstruction, the distance is now 0.8D (since it was decreased by 20%).
Next, let's assume the original speed limit was S. After the reconstruction, the speed limit is now 1.25S (since it was increased by 25%).
To calculate the original driving time along the stretch, we would use the formula: time = distance / speed. So the original driving time would be D/S.
After the reconstruction, the driving time would be (0.8D) / (1.25S) = 0.64D/S.
To calculate the percent reduction in driving time, we can use the formula: (original time - new time) / original time * 100%.
Plugging in the values we calculated, we get:
(original time - new time) / original time * 100% = (D/S - 0.64D/S) / (D/S) * 100% = 36%.
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help, please Ill mark brainliest!
Answer:
the answers are 12.5, 5, 2, 0.8 and 0.32
Step-by-step explanation:
2(0.4)^-2
=2(6.25)
= 12.5
2(0.4)^-1
= 2(2.5)
=5
2(0.4)^0
=2(1)
=2
2(0.4)^1
=2(0.4)
=0.8
2(0.4)^2
=2(0.16)
=0.32