The table shows some possible dimensions of rectangles with a perimeter of 100 units. Copy and complete the table.
b. What is another point in the data set? Use it to verify your model.
Answers
a. Model for the data set: Area = Width * Length or Area = 50 * Width - Width² b. Another point in the data set: (7, □) (Cannot calculate the area without knowing the specific length value) c. Reasonable domain for this function: Non-negative whole numbers d. Maximum possible area: 625 units (Width = 25, Length = 25) e. Function for area in terms of width: Area = Width * Length or Area = 50 * Width - Width² (same as in part a)
a. Plotting the points (width, area):
Using the given data, we have the points (1, 49), (3, □), and (5, □).
To find the missing values, we can use the formula for the area of a rectangle:
Area = Width * Length
Substituting the values from the table, we have:
49 = 1 * Length
Length = 49
□ = 3 * Length
□ = 3 * 47
□ = 141
□ = 5 * Length
□ = 5 * 45
□ = 225
So, the completed table is:
Width Length Area
1 49 49
3 47 141
5 45 225
From these points, we can find a model for the data set. The model is:
Area = Width * Length
b. Another point in the data set: (7, □)
To find the missing value, we can use the model:
Area = Width * Length
□ = 7 * Length
Since we don't have the specific length value, we cannot calculate the area for width = 7. However, we can verify the model by substituting known values into the formula and confirming if they match the actual areas.
c. Reasonable domain for this function:
The reasonable domain for this function would be non-negative whole numbers (0, 1, 2, 3, ...). Width and length represent dimensions, which cannot be negative, and it makes sense to consider whole numbers for practical rectangle dimensions
d. Finding the maximum possible area:
To find the maximum possible area, we can consider the case where the rectangle is a square since a square has the maximum area for a given perimeter. In this case, both the width and length would be 25 units (since 2 * width + 2 * length = 100). Thus, the maximum possible area is:
Area = Width * Length
Area = 25 * 25
Area = 625
So, the dimensions that yield the maximum area of 625 units are width = 25 and length = 25.
e. Function for area in terms of width:
To find a function for area in terms of width without using the table, we can start with the perimeter equation:
Perimeter = 2 * Width + 2 * Length
100 = 2 * Width + 2 * Length
Solving this equation for Length, we get:
Length = (100 - 2 * Width) / 2
Length = 50 - Width
Now, we can substitute this value of Length into the formula for Area:
Area = Width * Length
Area = Width * (50 - Width)
Area = 50 * Width - Width²
This is a quadratic function for the area in terms of width. Comparing it with the model from part (a), we can see that they are equivalent. Both represent the product of width and length, with the same coefficients. Therefore, the models are the same.
The model for the data set is: Area = Width * Length or Area = 50 * Width - Width².
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The complete question is:
The table shows some possible dimensions of rectangles with a perimeter of 100 units. Copy and complete the table.
Width Length Area
1 49 49
3 □ □
5 □ □
a. Plot the points (width, area). Find a model for the data set.
b. What is another point in the data set? Use it to verify your model.
c. What is a reasonable domain for this function? Explain.
d. Find the maximum possible area. What dimensions yield this area?
e. Find a function for area in terms of width without using the table. Do you get the same model as in part (a)? Explain.
Related Questions
it is known that 20% of products on a production line are defective. products are inspected until first defective is encountered. what is the probability that the first defective was found after inspecting exactly 3 products?
Answers
= 0.0655.
This is stated in a different way and i would take this as 3 non defective before first defective on the 6th inspection. That would be 0.8^3*0.2 = 0.0655.
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david drove 150 miles and used 8 gallons of gasoline. Rebecca drove 100 miles and used 6 gallons of gasoline.David said they used gasoline at the same rate.is he correct ?
Answers
The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.9, 21.4, 20.6, and 21.2 pounds. Assume Normality. Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of potatoes. ( 20.47,21.58) (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20.0 pounds? O A. The interval captures 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. B. The interval does not capture 20.0 pounds, so there not is enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. O C. The interval captures 20.0 pounds, so there is not enough evidence to reject a mean weight of 20.0 pounds. It is plausible the population mean weight is 20.0 pounds. OD. The interval does not capture 20.0 pounds, so there is enough evidence to reject a mean weight of 20.0 pounds. It is not plausible the population mean weight is 20.0 pounds. O E. There is insufficient information to make a decision regarding the rejection of 20.0 pounds. The sample size of 4 bags is less than the required 25.
Previous question
Answers
a. the 95% confidence interval for the population mean weight of all bags of potatoes is given by Confidence Interval = 21.025 ± 1.96 (0.383/√4)= 21.025 ± 0.469 = [20.556, 21.494] ≈ [20.56, 21.49]Rounded to the nearest hundredth in ascending order.
b. There is enough evidence to reject a mean weight of 20.0 pounds. Option (B) is correct.
Given the weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.9, 21.4, 20.6, and 21.2 pounds.
Assume Normality. We need to find the following: Solution: Let the weight of all bags of potatoes be X. It is given that sample size n = 4.
The sample mean, $\bar{X}$ = (20.9 + 21.4 + 20.6 + 21.2)/4 = 21.025 and sample standard deviation, s = √[((20.9-21.025)² + (21.4-21.025)² + (20.6-21.025)² + (21.2-21.025)²)/3]≈ 0.383.
a. The formula for a confidence interval for a population mean is given by Confidence Interval = $\bar{X}$ ± Zα/2(σ/√n),where α = 1 - 0.95 = 0.05, Zα/2 is the Z-score for the given confidence level and σ is the standard deviation of the population. σ is estimated by the sample standard deviation, s in this case. The Z-score for 0.025 in the upper tail = 1.96 (from normal tables)
Therefore the 95% confidence interval for the population mean weight of all bags of potatoes is given by Confidence Interval = 21.025 ± 1.96 (0.383/√4)= 21.025 ± 0.469 = [20.556, 21.494] ≈ [20.56, 21.49]
Rounded to the nearest hundredth in ascending order.
b. We know the population mean weight of all bags of potatoes is 20.0 pounds. The confidence interval [20.56, 21.49] does not contain 20.0 pounds. Thus, the interval does not capture 20.0 pounds. Therefore, we can reject a mean weight of 20.0 pounds.
Thus, there is enough evidence to reject a mean weight of 20.0 pounds. Option (B) is correct.
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Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2 7) (6x4 – 7)(6x4 7) (6x8 – 7)(6x 7)
Answers
The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).
We are given to factor the following polynomial completely:
36x^8 – 49.
We have to find the complete factor of the given polynomial.
Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor
What is the formula for (a^2-b^2)?
The formula for (a^2-b^2)= (a+b) (a-b).
Therefore applying the given formula we have,
\(F=(6x^4)^2-7^2\)
\(F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)\)
Thus, the required factors are
\(F=((6x^4)-7)(6x^4)+7)\)
Therefore,option (C) is correct.
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The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).
We are given to factor the following polynomial completely:
36x^8 – 49.
We have to find the complete factor of the given polynomial.
Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor
What is the formula for (a^2-b^2)?
The formula for (a^2-b^2)= (a+b) (a-b).
Therefore applying the given formula we have,
b
Thus, the required factors are
b
What is the set of x-intercepts of this graphed function ? A.{-3,-1} B. {-3,-1,3} C. {-3,3} D.{-3}
Answers
Answer:
second option
Step-by-step explanation:
The x- intercepts are the values on the x- axis where the graph crosses.
These are
x = - 3, x = - 1 and x = 3
URGENT
Emma doesn’t have experience using credit cards. In fact, she just got her first one. She is also about to start her first year of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the terms of her credit card:
It has a 15% annual interest rate.
The interest is compounded monthly.
The card has $0 minimum payments for the first four years it is active.
The expression that models this situation is P(1+r/n)^nt , where P represents the initial, or principal, balance; r represents the interest rate; t represents the time in years; and n represents the number of times the interest is compounded per year.
Part A
Question
Identify the values of P, r, and n in the expression P(1+r/n)^nt based on Emma’s situation. Then substitute those values into the formula to write a simplified exponential expression in terms of time.
Replace the variables a, b, and c to write the expression.
Part B
Question
Since the card has $0 minimum payments for the first 4 years it is active, Emma wonders how much it will cost her if she doesn't pay off the $300 balance until after college. How much will she owe in 4 years?
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest dollar.
In 4 years, Emma will owe about $
.
Part C
Question
Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn’t make any payments toward it. Write the equation to represent the situation, and solve it using the inverse relationship between exponential and logarithmic expressions.
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest tenth.
It will take about
years for Emma’s balance to reach $450.
Part D
Question
Emma notices that since her credit card balance compounds monthly, she is charged more than 15% of her initial loan amount in interest each year. She wants to know how much she would pay if the card were compounded annually at a rate of 15%. What expression could Emma use to evaluate her balance with an annual compounding interest rate?
Part E
Question
How would the situation change if the interest on Emma’s credit card were compounded annually rather than monthly, and she didn’t make any payments toward the balance?
Select the correct answer from each drop-down menu.
After 4 years, Emma would owe approximately $
for her original purchase of $300.
It would take around
years for her balance to increase from $300 to $450
Answers
Emma has a credit card with 15% annual interest compounded monthly. The exponential expression is 300(1+0.15/12)^(12*t). She owes $509 in 4 years. It's about $464. Time it will take for her balance to reach $450, which is about 5.6 years. The expression to evaluate her balance with an annual compounding interest rate is 300(1+0.15)^t = 300(1.15)^t. If the card were compounded annually, she would owe about $459 in 4 years and it would take about 6.5 years for her balance to reach $450.
P = $300 (initial balance)
r = 0.15 (annual interest rate)
n = 12 (monthly compounding)
The simplified exponential expression is
300(1+0.15/12)^(12*t)
Using the formula from Part A with t = 4
300(1+0.15/12)^(12*4) ≈ $509
Emma will owe approximately $509 in 4 years if she doesn't make any payments toward the balance.
The equation for the situation is
300(1+0.15/12)^(12*t) = 450
Taking the logarithm of both sides and solving for t:
t = log(450/300) / (12*log(1+0.15/12)) ≈ 5.6 years
It will take about 5.6 years for Emma's balance to reach $450 assuming she doesn't make any payments toward it.
The expression Emma could use to evaluate her balance with an annual compounding interest rate is
300(1+0.15)^t = 300(1.15)^t
After 4 years, Emma would owe approximately $459 for her original purchase of $300.
It would take around 6.5 years for her balance to increase from $300 to $450.
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use a proportion to find the length of side x for the pair of similar figures
Answers
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
Use the Distributive Property to expand (−4y−5z)3
Answers
Answer:
-12y -15z
Step-by-step explanation:
3(-4y)= -12y
3(-5z)= -15z
Answer:
D. -12y -15z
Step-by-step explanation:
Please Help I will do Brainliest for first and correct answer
Answers
Answer:
5
Step-by-step explanation:
41 - 32 = 9
5/9 x 9 = 5
Ali drove 101 miles on Thursday 66 miles on Friday and 157 miles on Saturday what was the average number of miles she traveled per day
Answers
Answer: 108
Step-by-step explanation:
(101 + 66 + 157) / 3
when 35073 seconds is rounded to three significant figures the answer value is
Answers
When 35073 seconds is rounded to three significant figures, the answer value is 35,100 seconds.
In scientific notation, this can be expressed as 3.51 x 10^4 seconds.
Round to three significant figures means that we consider the three most significant digits of the number and adjust the value based on the digit in the fourth position.
In this case, the fourth digit is 7, which is greater than or equal to 5. As a result, we round up the third significant digit, which is 5, to the next higher number.
Therefore, the final rounded value of 35,100 seconds is obtained.
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How many batches if each person gets a 1/2 cup for 240 people?
Answers
Depends on how many people you are serving. If you are serving say 960 people it would be 4 batches or 2 cups.
Answer:
120
Step-by-step explanation:
1/2×240= 120
or half of 240 cause 1/2 is half of 1
Which inequality is true when the value of s is 1
Answers
Q4. One card is drawn at random from a pack of 52 playing cards. Find the probability of choosing a black card between the numbers 5 and 10 (inclusive). A. 3/13 B. 1/13 C. 1/2 D. 4/13
Answers
Answer: b 1/13
Step-by-step explanation: SolutionTotal cards: 52Number of face card: 12
Probability of getting a face card:
P(F)=12/52 = 3/13
Probability of not getting a face card:
P(F ′ )=1−P(F)=1− 1/13 = 10/13
( 9³. 9 . 9⁰ ÷ 9⁴. 9¹ )-³
simplify and calculate this algebraic expression
Answers
Answer:
1/729
Step-by-step explanation:
According to the Order of Operations, the expression will be evaluated like this.
\(\left(9^3\cdot9\cdot\dfrac{9^0}{9^4}\cdot9^1\right)^{-3}\\\\=\left(729\cdot9\cdot\dfrac{1}{6561}\cdot9\right)^{-3}\\\\=\left(\dfrac{6561}{6561}\cdot9\right)^{-3}=9^{-3}=\boxed{\dfrac{1}{729}}\)
__
If you were to combine exponents before doing the evaluation, you would have ...
(9^3·9^1·9^0·9^-4·9^1)^-3 = 9^((3+1+0-4+1)·(-3)) = 9^-3 = 1/729
Note that the 9^1 term in the original expression is not in the denominator. The preceding division is done before the result is multiplied by 9^1, according to the order of operations.
Some authors use the ÷ symbol to mean "everything on the left divided by everything on the right". Some students fail to put needed parentheses around denominators. As a consequence we're not sure precisely what it is we're supposed to evaluate without seeing the original typeset expression.
24. Vince spent half of the money in his wallet on a new jumper
He then spent S15 on lunch.
After lunch he spent two thirds of the money remaining in his wallet on a hat.
If he is left with SIO in his wallet. how much did he have to begin with?
Answers
Answer:
$90
Step-by-step explanation:
Sorry to ask but can I have brainliest
Select the graph of the solution. Click until the correct graph appears.
|x| + 3 > 7
Answers
Answer:
graph B
Step-by-step explanation:
if x ≥ 0
x + 3 > 7
x > 7 - 3
x >4
if x < 0
-x + 3 > 7
-x > 7-3
-x > 4
x < -4
final solution
x < -4 ∨ x > 4
solve 7/t+8=6v-8u for t
Answers
Answer:
t=7/(6v-8u-8)
Step-by-step explanation:
Isolate t
7/t=6v-8u-8
7/6v-8u-8=6v-8u-8*t/6v-8u-8
t=7/(6v-8u-8)
You can simplify it
t=7/2(3v-4u-4)
somebody please help me on this geometry!! it’s urgent i’ll mark you the brainliest
Answers
Answer:
XN = 6
Step-by-step explanation:
Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is
\(\frac{AX}{XN}\) = \(\frac{AY}{YN}\) , substitute values
\(\frac{18}{XN}\) = \(\frac{12}{4}\) ( cross- multiply )
12XN = 72 ( divide both sides by 12 )
XN = 6
Andrew used this table to describe several numbers. What error did he make? A.√36 should also be an integer. B. 0.345 should also be an integer. C. −√25 should also be a whole number. D. 0.345 should be a whole number.
Answers
Answer:
A rational number is an integer that either doesn't have a decimal or has a decimal that either repeats or terminates (ends). Basically, if these square roots come out to be an integer, they're rational.
The first one comes out to be 42.6028168083, so obviously not rational.
The second one comes out to be 55, so it is rational.
Consider the provided numbers.
√1,815 and √3,025
The value of √1,815 = 48.60281680.....
The value of √3,025 = 55
Now consider the definition of rational and irrational number.
Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.
Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.
The number √1,815 is an irrational number as the decimal expansion of numbers is neither terminate nor periodic.
The number √3,025 is a rational number as it is in the form of p/q.
Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️
Answers
Answer:
hai :D
Step-by-step explanation:
Also try D
he employees of cartwright manufacturing are awarded efficiency ratings. the distribution of the ratings approximates a normal distribution. the mean is 400, the standard deviation is 50. what is the area under the normal curve between 400 and 482? multiple choice 0.4750 0.3413
Answers
The area under the normal curve between 400 and 482 is approximately 0.4495. While this answer isn't listed in your multiple-choice options, it's the closest to 0.4750, which might be a slight approximation in the options provided.
To find the area under the normal curve between 400 and 482 for Cartwright Manufacturing employees' efficiency ratings, we can use the Z-score formula and a standard normal table (Z-table).
Given the mean (µ) is 400 and the standard deviation (σ) is 50, we can calculate the Z-scores for both 400 and 482:
Z1 = (400 - µ) / σ = (400 - 400) / 50 = 0
Z2 = (482 - µ) / σ = (482 - 400) / 50 = 1.64
Now, we can use the Z-table to find the area under the normal curve corresponding to these Z-scores. For Z1 = 0, the area is 0.5000 (as it is the midpoint). For Z2 = 1.64, the area is 0.9495.
To find the area between these two Z-scores, subtract the area of Z1 from Z2:
Area = 0.9495 - 0.5000 = 0.4495
The employees of Cartwright Manufacturing are awarded efficiency ratings. The distribution of the ratings follows a normal distribution. The mean is 400, the standard deviation 50.
(a) What is the area under the normal curve between 400 and 482? Write this area in probability notation.
(b) What is the area under the normal curve for ratings greater than 482? Write this area inprobability notation.
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Simplify the expression: z8 * z-3
Answers
Answer:
z^5
Step-by-step explanation:
z^8 * z^-3
Since we are multiplying exponents and the bases are the same, we can add the exponents
z^(8-3)
z^5
Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation of 1.5 years. What is the probability that a randomly selected hot water heater has a life span of between 12 and 15 years
Answers
The probability that a randomly selected hot water heater has a life span of between 12 and 15 years is about 65.62%.
A Z-score is a numerical measurement that describes a cost's relationship to the suggestion of a group of values. Z-score is measured in terms of standard deviations from the suggested. If a Z-score is 0, it suggests that the statistics point's rating is identical to the mean rating.
According to the question;
Mean (μ) = 13 years
Standard deviation (σ) = 1.5 years
The z score can be used to find the probability of a random variable occurring over a normally distributed parameter if its mean and standard deviation is given. z = x- μ / σ
The z score can then be used to find the probability of a randomly selected hot water heater lifespan being below that value: P ( Z < z)
First, find the z score for 12 and 15
z = 12 - 13 / 1.5 = - 0.6667
z = 15 - 13 / 1.5 = 1.333
Therefore,
P ( X < 12) = P ( Z < - 0.6667 ) ≈ 0.2525
P ( X < 15) = P ( Z < 1.333 ) ≈ 0.9087
To find the probability of a randomly selected hot water heater having a lifespan between 12 and 15 over this distribution, subtract the P for the lower value from the P for the higher value.
P ( - 0.6667 < X < 1.333 ) = P ( Z < 1.333 ) - P ( Z < - 0.6667 ) = 0.9087 - 0.2525 = 0.6562
P ( 12 < X < 15 ) ≈ 65.62%
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What is the factor 4x^2-9
Answers
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
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3
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(
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Step-by-step explanation:
The test scores for the students in Mr. Miller’s math class are shown here.
52, 61, 69, 76, 82, 84, 85, 90, 94
What is the range of the test scores?
Answers
The range of the test scores in Mr. Miller's math class is 42.
What is the range?Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.
The range is computed by subtraction of the lowest value from the highest value.
Mr. Miller can use the range to measure the spread or dispersion of the test scores.
Test Scores:
52, 61, 69, 76, 82, 84, 85, 90, 94
Highest score = 94
Lowest score = 52
Range = 42 (94 - 52)
Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.
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Find the length, L, of the curve given below. y= x∫2
√8t^4−1dt,2≤x≤6
Answers
The length of the curve defined by the equation y = x∫2 √(8t^4-1) dt, where 2 ≤ x ≤ 6, cannot be determined analytically.
To find the length of the curve defined by the equation y = x∫2 √(8t^4-1) dt, where 2 ≤ x ≤ 6, we can use the arc length formula. The arc length formula for a curve given by y = f(x) over the interval [a, b] is:
L = ∫[a, b] √(1 + (f'(x))^2) dx.
First, let's find the derivative of the function y = x∫2 √(8t^4-1) dt. We can apply the Fundamental Theorem of Calculus:
y' = d/dx (x∫2 √(8t^4-1) dt)
= ∫2 √(8t^4-1) dt.
Now, we can substitute the derivative back into the arc length formula:
L = ∫[2, 6] √(1 + (∫2 √(8t^4-1) dt)^2) dx.
To simplify the calculation, we can evaluate the integral inside the square root symbol first:
L = ∫[2, 6] √(1 + (∫2 √(8t^4-1) dt)^2) dx
= ∫[2, 6] √(1 + (∫2 √(8t^4-1) dt)^2) dx.
Unfortunately, the integral inside the square root cannot be solved analytically, and numerical methods would be needed to approximate the value of the integral. Therefore, we cannot find the exact length of the curve without resorting to numerical approximation techniques.
The integral inside the arc length formula does not have a closed-form solution, making it impossible to find the exact length of the curve using algebraic methods. Numerical approximation techniques, such as numerical integration, would be required to estimate the length of the curve.
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24=6(-x-3)
in class need help
Answers
Answer:
- 7
Step-by-step explanation:
6(- x - 3) = 24
-6x - 18 = 24
-6x = 24 + 18
-6x = 42
x = 42 ÷ - 6
x = - 7
What is the density of a substance that has a mass of 500 g and a volume of 500mL
Answers
Answer:
1
Step-by-step explanation:
Given,
Mass ( m ) = 500 g
Volume ( V ) = 500 ml
To find : Density ( D ) = ?
Formula : -
D = m / V
D = 500 / 500
D = 1 g/ml
Hence,
1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.
given the slope m of a line and a point (x, y) on that line, how can you determine the coordinates of another point on the line?
Answers
To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
The equation of the line is written in the slope-intercept form, which is:
y = mx + b, where m represents the slope and b represents the y-intercept.
Finding the distance from the known endpoint to the midpoint and then applying the same transformation to the midpoint is the quickest way to locate the missing endpoint. The x-coordinate changes in this situation from 4 to 2, or down by 2, so the new x-coordinate is 2-2 = 0.
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