Answer:
the second pair
Step-by-step explanation:
what is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x3, the y-axis, and the horizontal line y=1 is revolved about the y-axis?
The volume of the solid is 4/5π.
The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.
In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by
V = ∫0 1 π(y)2dy
= ∫0 1 πx6dx
= π/7
= 4/5π
The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.
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Help me plsss plssss plsssssss
Answer:
9 1/2
Step-by-step explanation:
Add 2 1/2 plus 3 1/2 plus 3 1/2 to get 9 1/2.
Which of the following is true when using the empirical rule for a set of sample data? Select one: a. Approximately 68% of all observations are in the interval + s. b. Almost all observations are in the interval #2s. c. Approximately 68% of all observations are in the interval + 2s. d. Approximately 95% of all observations are in the interval + S.
When using the empirical rule for a set of sample data, the following statements are true: Approximately 68% of all observations are in the interval ± 1s (one standard deviation from the mean),Almost all observations are in the interval ± 3s (three standard deviations from the mean),Approximately 95% of all observations are in the interval ± 2s (two standard deviations from the mean),This statement, "Approximately 95% of all observations are in the interval + S", is incorrect.
When using the empirical rule for a set of sample data, the following statements are true:
a. Approximately 68% of all observations are in the interval ± 1s (one standard deviation from the mean).
b. Almost all observations are in the interval ± 3s (three standard deviations from the mean).
c. Approximately 95% of all observations are in the interval ± 2s (two standard deviations from the mean).
d. This statement, "Approximately 95% of all observations are in the interval + S", is incorrect. The empirical rule states that approximately 68% of all observations are in the interval ± 1s, not just "+ s".
Therefore, the correct answer is (c) Approximately 68% of all observations are in the interval + 2s.
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I need help asap, please show the work in detail Convert to slope intercept form.3y = 2x +9
To find the slope intercept form, solve the equation for y.
\(\begin{gathered} 3y=2x+9 \\ y=\frac{2x+9}{3} \\ y=\frac{2}{3}x+\frac{9}{3} \\ y=\frac{2}{3}x+3 \end{gathered}\)Solve the equation for x:
\(\begin{gathered} 3y=2x+9 \\ 2x+9=3y \\ 2x=3y-9 \\ x=\frac{3y-9}{2} \\ x=\frac{3}{2}y-\frac{9}{2} \end{gathered}\)9. Which of the following is an example of the Commutative Property of Addition? (1 point)
O 12 + 4 = 4 + 12
O 12 + (3 + 2) = (12 + 3) + 2
O 2 + 7 + 0 = 2 +7
O 17+ (-17) = 0
V
10. If p = 8, evaluate 42+p:3. (1 point)
02.
03
06
08
Finish
Cancel
Answer:
9. the first one ( 12 + 4 = 4 + 12 )
Step-by-step explanation:
the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.
The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The four options
Now,
The commutative property of addition states that changing the order of the addends does not change the sum.
This is the only option that shows the same sum with different orders of addends.
Therefore, by algebra the answer will be 12 + 4 = 4 + 12.
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I need this today. Which two integers is 37 square root between?
Answer:
The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.
The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.
Therefore, the square root of 37 is between the integers 6 and 7.
HELP PLS- I WILL GIVE BRAINEST
1. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
2. Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes?
3. What will the distance between them be after 45 minutes?
Answer:
1. 9 Miles
2. -6mph
sorry I don't know 3
Step-by-step explanation:
find the critical numbers of the function on the interval 0 ≤ θ < 2π. g(θ) = 4 θ - tan(θ)
The critical numbers of g(θ) on the interval 0 ≤ θ < 2π are: θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.
To find the critical numbers of g(θ) = 4θ - tan(θ) on the interval 0 ≤ θ < 2π, we need to find the values of θ where the derivative of g(θ) is equal to 0 or undefined.
First, we find the derivative of g(θ) using the chain rule and quotient rule:
g'(θ) = 4 - sec²(θ)
To find where g'(θ) is equal to 0, we set the derivative equal to 0 and solve for θ:
4 - sec²(θ) = 0
sec²(θ) = 4
Taking the square root of both sides, we get:
sec(θ) = ±2
Since sec(θ) = 1/cos(θ), we can rewrite this as:
cos(θ) = ±1/2
We know that on the interval 0 ≤ θ < 2π, the cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants.
Therefore, we need to find the values of θ in the first and fourth quadrants where cos(θ) = 1/2, and the values of θ in the second and third quadrants where cos(θ) = -1/2.
For cos(θ) = 1/2, we have:
θ = π/3 or 5π/3 in the first quadrant
θ = 7π/3 or 11π/3 in the fourth quadrant
For cos(θ) = -1/2, we have:
θ = 2π/3 or 4π/3 in the second quadrant
θ = 8π/3 or 10π/3 in the third quadrant
Therefore, the critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:
θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.
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approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 84 percent
According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).
This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.
The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).
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--The given question is incomplete, the complete question is given
" According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--
What is assumed by the homogeneity of variance assumption?
a. The two samples have equal variances
b. The two sample variances are not equal.
c. The two populations have equal variances
d. The two population variances are not equal
Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."
This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.
When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.
However, if the variances are not equal, it can lead to biased and unreliable results.
In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.
Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.
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There are between 60 and 100 children at the sunny side holiday camp. When the children are put into pairs, there is 1 child left. When they are put into groups of 5, there is 1 child left. When they are put into groups of 8, there is 1 child left. How many children are there at the camp ?
Based on the information provided, there are 81 children at the sunny side holiday camp.
We can solve this problem using algebra.
Let's assign a variable to represent the number of children at the camp.
Let's call the number of children "x". We know that when the children are put into pairs, there is 1 child left.
This means that the number of children must be odd.
We also know that when the children are put into groups of 5, there is 1 child left.
This means that the number of children must be 1 more than a multiple of 5.
Finally, when the children are put into groups of 8, there is 1 child left.
This means that the number of children must be 1 more than a multiple of 8.
From these conditions, we can write the following equation:
x ≡ 1 (mod 2)
x ≡ 1 (mod 5)
x ≡ 1 (mod 8)
By finding the least common multiple of 2, 5, and 8, we can determine the possible values for x.
The least common multiple of 2, 5, and 8 is 40.
Therefore, the possible values for x are 41, 81, 121, and so on.
However, we also know that the number of children is between 60 and 100.
Therefore, the only possible value for x in this range is 81.
So, there are 81 children at the sunny side holiday camp.
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Answer.....
.ok
.
.
.
.
.
.
Answer:
12%
Step-by-step explanation:
3.499-3.079 is 0.42
0.42/3.499 is about 12%
Hope this helps!
And by the way, its a decrease.
Jace practices the piano 798 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
38 minutes each day
Step-by-step explanation:
Answer:
38 minutes per day
Step-by-step explanation:
The information given says that Jace practices 798 minutes in 3 WEEKS and we need to convert that to days. There are 7 days in a week so multiply
7 x 3 = 21
Now you have to divide the minutes by 21.
798 ÷ 21 = 38
Jace practices piano for 38 minutes every day.
Hope that helps and have a great day!
Solve using the Zero-Product Property.
(x + 4)(x-3)=0
A. x = -2 and x = 1
B. x = 4 and x = -3
C. x = 2 and x = 1
D. x = -4 and x = 3
Show your work or not.
Answer:
D
Step-by-step explanation:
Given
(x + 4)(x - 3) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
solutions are x = - 4 and x = 3 → D
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
8
11
14
20
Answer:
hello there,
the answer for this equation is:
The value of Start Fraction 6 Over x End Fraction + 2x2, when x = 3 is 20.
Step-by-step explanation:
:\(\frac{6}{x} + 2x^{2} \\ \\\\ \frac{6}{3} + 2(3)^{2}\\\\\\2+2*9 =\\\\\\\\2+18=20\)
Answer:
20 is my answer i did it but yes have a good day and a bless day.
Step-by-step explanation:
the expected value is equal in mathematical computation to the ____________
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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Wow...I forgot how to do this please help
Answer:
B. y = -6x+7
Step-by-step explanation:
change in x is positive 6 change in y is negative 1
6/-1 is the slope
-6 is the slope
A soup manufacturer is deciding which company to use for their mushroom purchases. A random sample of 50 mushrooms for each company found 30% from one company were damaged and 35% from the other company were damaged. What assumptions for the two proportions z test would not be a concern
The assumptions for the two proportions z-test that would not be a concern, in this case, are random sampling, independence, large sample size, and normality of the sampling distribution.
When comparing two proportions using a z-test, there are several assumptions that need to be met to ensure that the results are valid. In this case, the assumptions that would not be a concern are:
Random sampling: The sample of 50 mushrooms from each company is assumed to be a random sample from the population of mushrooms for each company. This assumption ensures that the sample is representative of the population and that the results can be generalized to the larger population.
Independence: The samples from each company are assumed to be independent of each other. This means that the mushrooms from one company do not influence the mushrooms from the other company in any way. This assumption is necessary for the validity of the z-test.
Large sample size: The sample size of 50 mushrooms from each company is sufficiently large. When the sample size is large, the sample proportion can be used as an estimate of the population proportion, and the sampling distribution can be assumed to be approximately normal. A general rule of thumb is that the sample size should be at least 30.
Normality: The z-test assumes that the sampling distribution of the difference between the two sample proportions is approximately normal. This assumption is valid when the sample size is large, as mentioned above.
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HELPPP please please please
Answer:b
Step-by-step explanation:
ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.
A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons
Answer:
cc
Step-by-step explanation:
What annual interest rate would you need to earn if you wanted a
$600 per month contribution to grow to $45,000 in six years? (Round
your answer to 2 decimal places.)
To calculate the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years, we can use the formula for future value of an annuity: FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuityPMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.
Using the given values, we have:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use trial and error or a financial calculator. Here, we will use a financial calculator.
To solve this problem, we will use the formula for future value of an annuity:FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuity PMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.
We are given:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use a financial calculator or trial and error. Here, we will use a financial calculator. We enter the values into the financial calculator and solve for r. We get
:r = 8.81% (rounded to two decimal places)Therefore, the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.
The annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.
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Select all the correct answers.
Which values are included in the solution set of this inequality?
2.12 – 1 > 61
I = -4
I = 3
0 1 = 1
o = 5
O r = -2
Answer:
Option A, Option D and Option E are correct options.
Step-by-step explanation:
We need to find solutions of the inequality: \(2x^2-1>6x\)
We will check the options and see, which options satisfy the inequality.
Option A
x=-4
Put x=-4
\(2x^2-1>6x\\2(-4)^2-1>6(-4)\\2(16)-1>-24\\32-1>-24\\31>-24\:\:True\)
So, x=-4 is the solution of inequality.
Option B
x=3
Put x=-3
\(2x^2-1>6x\\2(3)^2-1>6(3)\\2(9)-1>18\\18-1>18\\17>18\:\:False\)
So, x=3 is not the solution of inequality.
Option C
x=1
Put x=1
\(2x^2-1>6x\\2(1)^2-1>6(1)\\2(1)-1>6\\2-1>6\\1>6\:\:False\)
So, x=1 is not the solution of inequality.
Option D
x=5
Put x=5
\(2x^2-1>6x\\2(5)^2-1>6(5)\\2(25)-1>30\\50-1>30\\49>30\:\:True\)
So, x=5 is the solution of inequality.
Option E
x=-2
Put x=-2
\(2x^2-1>6x\\2(-2)^2-1>6(-2)\\2(4)-1>-12\\8-1>-12\\7>-12\:\:True\)
So, x=-2 is the solution of inequality.
So, Option A, Option D and Option E are correct options.
Explain and I’ll mark as brainliest too also worth 20 points
Answer:
x = 3
Step-by-step explanation:
The equation is,
16 = 5x+1
Subtract 1 from both sides,
16-1 = 5x
15 = 5x
Divide by 5,
x = 3
Answer: X = 3 because each row had 3 1 in it and because of that each row/X would be 3.
What do you have to do to
determine which function increases faster when
looking at a table and a graph of two different
functions PLS SOMEONE HELP
To determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).
Rate of Change:
A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
\(\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}\)
How to determine:
Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values \(x_{1}\) and \(x_{2}\).
Calculate the difference \(y_{2}-y_{1} = \triangle y\)Calculate the difference \(x_{2}-x_{1} = \triangle x\)Find the ratio \(\frac{\triangle y}{\triangle x}\)Hence the answer is to determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).
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Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
please help ASAP. dont put wrong answers. people who have flvs and got a 100 on this pleasezanswer
The patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.
What is erosion?It should be noted that erosion simply means the washing away of the top soil.
In this case, the patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.
The years when the beaches have approximately the same width will be between 11 and 12 years.
Assuming these rates remain constant, to get a better approximation of when the two beaches will have the same width, one can plot the data against time and draw a curve that goes through the data.
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10 points
You randomly select 2 cards from a standard deck of 52 playing cards.
What is the probability that all 2 cards are diamonds when you REPLACE
each card before selecting the next card? (If you use decimals, round
your answer to the nearest thousandth, which is 3 decimal places.) *
O
1/16
O 0.125
0.125
O
0.059
1/26
Answer:
1/169
Step-by-step explanation:
52 cards in a deck, 13 are diamonds
P(diamond) = number of diamonds/ total
= 13/52 = 1/13
Replace the card
52 cards in a deck, 13 are diamonds
P(diamond) = number of diamonds/ total
= 13/52 = 1/13
P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169
What is the value of x in the figure below
Answer:
just delete this
Step-by-step explanation:
after preparing a horizontal analysis of Blanchet
corporations balance sheet for 2019, what are some observations you
can make?
Overall, the horizontal analysis of Blanchet Corporation's balance sheet for 2019 suggests positive growth and financial stability.
There has been a significant increase in total assets from the previous year. This indicates potential growth and expansion in the company's operations.
The liabilities have also increased, but not at the same rate as the assets. This suggests that the company may have taken on additional debt or financing to support its growth.
The retained earnings have shown a positive trend, indicating that the company has been profitable and able to retain a portion of its earnings for reinvestment or future use.
The equity section has also grown, which can be attributed to the increase in retained earnings and potentially additional capital investments.
The increase in assets and retained earnings indicates the company's ability to generate profits and reinvest in its operations. However, the increase in liabilities should be carefully monitored to ensure it is manageable and sustainable in the long term.
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Would it be wise for Lisa to buy
an old car? Why would the age of the car make a difference?
Answer:
It would be cheaper.
Step-by-step explanation:
Cars are worth less the older they are, so Lisa could not have to borrow as much money. Also there would most likely be more parts around, so car insurance would be a bit less.
lydia graphed δstu at the coordinates s (-3,0), t (0, −3), and u (3, −3). she thinks δstu is a right triangle. is lydia's assertion correct?
No, Lydia's assertion that δSTU is a right triangle is not correct.
A right triangle is a triangle in which one of the angles measures 90 degrees (a right angle). To determine if δSTU is a right triangle, we need to examine the angles formed by the given coordinates.
Using the coordinates:
s (-3, 0)
t (0, -3)
u (3, -3)
We can calculate the slopes of the lines formed by connecting these points to see if any of them are perpendicular (indicating a right angle).
The slope of the line connecting points s and t is:
m(st) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (0 - (-3)) = -3/3 = -1
The slope of the line connecting points s and u is:
m(su) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (3 - (-3)) = -3/6 = -1/2
The slope of the line connecting points t and u is:
m(tu) = (y₂ - y₁) / (x₂ - x₁) = (-3 - (-3)) / (3 - 0) = 0/3 = 0
None of the slopes calculated are perpendicular to each other, meaning none of the angles formed by the given coordinates are 90 degrees. Therefore, δSTU is not a right triangle.
In summary, Lydia's assertion that δSTU is a right triangle is incorrect because the angles formed by the given coordinates do not include a 90-degree angle.
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