The rate of increase in the radius is larger because, as the radius increases, the rate of change in the volume increases as well.
(a) The rate at which the volume of the balloon is increasing can be found by using the formula for the volume of a sphere: V = (4/3)πr3. Differentiating this with respect to time gives the rate at which the volume is increasing: dV/dt = 4πr2(dr/dt). When r = 5.20 cm and dr/dt = 0.840 cm/s, the rate at which the volume is increasing is 4π(5.20 cm)2(0.840 cm/s) = 4.15 cm3/s.
(b) When the radius is 13.90 cm, the rate at which the volume is increasing is 4π(13.90 cm)2(dr/dt). For this rate to remain constant, dr/dt must increase. Thus, the rate at which the radius is increasing must be larger than 0.840 cm/s.
(c) Physically, this is because the rate of change in the volume of the balloon increases as the radius increases. As the radius increases, the surface area of the balloon increases, allowing more air to enter the balloon. Thus, in order to maintain a constant volume rate, the rate of increase in the radius must also increase.
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Someone please answer for me thank you it’s geometry btw
The surface area of the prism is 462.55 in².
We have,
Slant height = 20.7 in
The perimeter of the base.
= 11 + 11 + 11 + 11
= 44 in
And,
The lateral surface area of the prism.
= Area of all sides except the base area
So,
= 3 x ( 1/2 x 11 x 20.7)
There are same three triangles.
So we add up all the 3 triangles.
= 341.55 in²
And,
Area of the base.
= 11²
= 121 in²
And,
The surface area of the prism.
= Lateral surface area + base area
= 341.55 + 121
= 462.55 in²
Thus,
The surface area of the prism is 462.55 in².
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a wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern colorado. to estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. the biologist checked for the following.
The biologist was checking the condition for inference that (d) the observations within each sample are close to independent.
This is concluded from the fact that the biologist was checking if the product of sample size and the proportion of deer with chronic wasting disease in each sample was greater than or equal to 10. This is a commonly used rule of thumb to ensure that each sample has enough data to provide meaningful information about the population, and it is based on the idea that the sample size should be large enough such that the expected number of success (deer with chronic wasting disease) is at least 10 and the expected number of failures (deer without chronic wasting disease) is at least 10.
This helps to ensure that the observations within each sample are close to independent, as the sample proportions are unlikely to be greatly influenced by any individual deer in the sample.
Correct Question :
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern colorado. to estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. the biologist checked for the following:
(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10
Which of the following conditions for inference was the biologist checking?
a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.
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a reporter intends to survey a 150 people to estimate what percentage of the city population with support a law that raises the legal driving age from 16 to 18 years where should the reporter conduct his survey to obtain the best represent the entire city population
Answer:I know im problably late but, its the city's senior citizen center
Step-by-step explanation:
Concentric circles are internally tangent circles, true or false?
Concentric circles are internally tangent circles which is the true statement.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)
Concentric circles are circles that have the same center but different radii.
When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.
In this case, one circle is entirely contained within the other circle.
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Which points on this vertical number line best represent the locations of 2.5 and -3/2. A (G and J) B (G and K). C(H and I) D (H and j).
Answer:
The answer is G and K
Step-by-step explanation:
Because i got it right on this test
Thank Me
If a vehicle is moving at a constant speed of 60 miles per hour, how many miles will it travel in 1hour and 20 min
Answer:
5400 m
Step-by-step explanation:
60 m/h x 1 : 30
=60 x 90
=5400
Mr. Farley used 4 pounds of hamburger to make 10 hamburger patties of the same size. How many pounds of hamburger did he use per patty? Express your answer as a decimal.
Mr. Farley used 0.4 pounds (or 6.4 ounces) of hamburger per patty.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
To find the amount of hamburger used per patty, we need to divide the total amount of hamburger used by the number of patties:
amount per patty = total amount / number of patties
In this case, Mr. Farley used 4 pounds of hamburger to make 10 patties:
amount per patty = 4 pounds / 10 patties
We can evaluate this expression with a calculator to obtain:
amount per patty = 0.4 pounds per patty
Therefore, Mr. Farley used 0.4 pounds (or 6.4 ounces) of hamburger per patty.
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What is the difference of the two polynomials 9x2 8x 2x2 3x?
The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.
What is polynomials?A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.
Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).
To find the difference between
(9x² + 8x) - (2x² + 3x)
We do calculation
= 9x² + 8x - 2x² - 3x
= 9x² - 2x² + 8x - 3x
= 7x² + 5x
Thus, the difference between the polynomials is 7x² + 5x.
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Use the following image to complete the sentences describing the ratio of spots to eyes.
A ladybug with 2 eyes and 6 spots.
A ladybug with 2 eyes and 6 spots.
There are 6 spots for every
eyes.
There are
spots for every 1 eye.
Using ratios, the sentences are completes as follows:
There are 6 spots for every 2 eyes.There are 3 spots for every 1 eye.What is the ratio between two amounts?The ratio between two amounts a and b is given by the division of a by b, as follows:
r = a/b.
Between two amounts b and a, the ratio is given by the division of b by a, as follows:
r = b/a.
This means that the ratio between two amounts is not commutative, meaning that the order of the amounts matters.
A ladybug with 2 eyes and 6 spots, hence the first sentence is given as follows:
There are 6 spots for every 2 eyes. (ratio is the number of eyes for 6 spots).
The number of spots per eye is the ratio of the number of spots and the number of eyes, as follows:
Spots per eye = 6 spots/2 eyes = 3 spots per 1 eye.
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a. suppose you obtain a chi-square statistic of 3.86. Are your results statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an α Level of .01?
b. What about with a chi-square statistic of 67.81. Are the results significant if a critical value of the distribution is 3.84 with α level of .05?
a. The chi-square statistic is not significant at the α level of .01.
b. The chi-square statistic is significant at the α level of .05.
How to determine chi-square statistic is not significant at α level of .01?a. With a chi-square statistic of 3.86 and a critical value of 6.63 at α level of .01, we can compare the two values.
Since 3.86 < 6.63, this means that the chi-square statistic is not significant at the α level of .01.
In other words, the result is not statistically significant and we fail to reject the null hypothesis.
How to determine chi-square statistic is significant at α level of .05. ?b. With a chi-square statistic of 67.81 and a critical value of 3.84 at α level of .05, we can again compare the two values.
Since 67.81 > 3.84, this means that the chi-square statistic is significant at the α level of .05.
In other words, the result is statistically significant and we reject the null hypothesis.
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Point N and L on the circle K and point Q and P on the circle O. Lines NP and QL intersect at point M. Line NP is tangent to Circle K and point N and tangent to circle O at point P. Lines LQ is tangent to circle K at point L and tangent to circle O and point Q. If NM=7x-18,LM=31, QM=6x-4, and PM= 5y-12, which of the following are true? Select all that apply.
The statements that are true from the list of options are x = 7, y = 10 and QM = 38
Selecting which of the statements are true?Given that
Line NP is tangent to Circle K and point N and tangent to circle O at point P. Lines LQ is tangent to circle K at point L and tangent to circle O and point QThis means that
NM = LM
So, we have
7x - 18 = 31
This gives
7x = 49
So, we have
x = 7
Next, we have
QM = PM
So, we have
6x - 4 = 5y - 12
So, we have
6(7) - 4 = 5y - 12
This gives
5y = 50
So, we have
y = 10
Calculating the lengths, we have
QM = 6(7) - 4
QM = 38
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10) Convert 6 inches to centimeters
A movie ticket costs $9.A concert ticket costs $45. Which equation can be used to find how many times as much the concert ticket costs than a movie ticket?
Answer:
45/9=5 times
Step-by-step explanation:
Answer:
its 45 times 9=
Hope this helps!!
Please help me !!
Will give brainliest
Answer:
D) SC+DB=SB
Step-by-step explanation:
D) SC+DB=SB is NOT true
What is the absolute value of -11
Answer:
11
Step-by-step explanation:
11
since it asks the absolute value of -11 it
will be 11 because in absolute value-for negatives it always positive.
Answer:
see attached
Step-by-step explanation:
Billy kicks a soccer ball off the ground after taking a quick running start. The graph below shows the height of the ball. What do(es) the solution(s) to the function represent?
From the graph, the solutions of the function represents the instants in which the ball hits the ground.
In the graph, we have that:
The x-axis is the time, ins seconds.The y-axis is the height of the ball, in feet.The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.
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What is the first step to solving this 2 step equation.
3x + 8 = 29
3x/3x + 8 = 29/3x
3x + 8 - 8 = 29 - 8
3x/3 + 8 = 29/3
3x /3= 21/3
Answer:
Subtract 8 from both sides
Step-by-step explanation:
3x + 8 - 8 = 29 - 8
3x/3x+8=29/3x^3x+8-8=29-83x/3+8=29/33x/3=21/3
We move all terms to the left:
3x/3x+8-(29/3x^3x+8-8)=0
x^3x
what is the arithmetic mean of all of the positive two-digit integers with the property that the integer is equal to the sum of its first digit plus its second digit plus the product of its two digits?
The arithmetic mean is 59.
What is arithmetic mean?
It is the sum of collection of numbers divided by the count of the numbers.
Conider AB is the nuber satisfying the condition. Hence,
\(10A+B=A+B+A\times B\\9A=A\times B\\\)
Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).
\(9=B\)
Hence, B is 9 and A can take any value from 1 to 9.
Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.
Now, calculate arithmetic mean as follows:
\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)
Hence, arithmetic mean of numbers is 59.
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2,631 dividido entre 24
Answer:
2631 divided by 24 = 109.625
Step-by-step explanation:
The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.
2631 divided by 24 in decimal = 109.625
2631 divided by 24 in fraction = 2631/24
2631 divided by 24 in percentage = 10962.5%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.
SPANISH:
El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.
2631 dividido por 24 en decimal = 109,625
2631 dividido por 24 en fracción = 2631/24
2631 dividido por 24 en porcentaje = 10962,5%
Tenga en cuenta que puede utilizar nuestra calculadora de última generación anterior para obtener el cociente de dos enteros o decimales cualesquiera, incluidos 2631 y 24, por supuesto.
Los repetends, si los hay, se indican en ().
La conversión se realiza automáticamente una vez que el nominador, por ejemplo, 2631, y el denominador,
What is the surface area of the three-dimensional figure formed by the net shown?
Answer:
336 cm²
Step-by-step explanation:
1 rectangle 24 cm by 12 cm
1 triangle with base 12 cm and height 8 cm (combining the two small triangles into 1 larger triangle)
SA = 24 cm * 12 cm + 12 cm * 8 cm / 2
SA = 288 cm² + 48 cm²
SA = 336 cm²
if3x-2=2 then what does 4x-2=
3x=2+2
3x=4
x=4
3
ea es
s
? Question
Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual.
Select the correct rates in the table.
Individual
teacher, taxable income $40,259
pediatrician, taxable income $194,680
mathematician, taxable income $93,810
registered nurse, taxable income $55,350
Question 2
Tax Bracket
10% 12%
22%
32%
37%
35%
32% 24% 22%
22%
24% 32%
The appropriate marginal tax rates for each individual based on their taxable income are: Teacher - 12%, Pediatrician - 35%, Mathematician - 24%, Registered Nurse - 22%.
1: Using the single taxable income tax brackets for 2018, select the appropriate marginal tax rate for each individual. Select the correct rates in the table. Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%
2: Tax Bracket 10% 12% 22% 24% 32% 35% 37% The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018. The marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. Now, we have to select the appropriate marginal tax rate for each individual.
Teacher -Taxable Income = $40,259. The appropriate marginal tax rate for the teacher is 12%. The income of the teacher falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 12%.
Pediatrician - Taxable Income = $194,680. The appropriate marginal tax rate for the pediatrician is 35%. The income of the pediatrician falls in the taxable income bracket of $157,501 to $200,000, and the marginal tax rate is 35%.
Mathematician - Taxable Income = $93,810. The appropriate marginal tax rate for the mathematician is 24%. The income of the mathematician falls in the taxable income bracket of $82,501 to $157,500, and the marginal tax rate is 24%.
Registered Nurse - Taxable Income = $55,350. The appropriate marginal tax rate for the registered nurse is 22%. The income of the registered nurse falls in the taxable income bracket of $38,701 to $82,500, and the marginal tax rate is 22%.
Thus, the appropriate marginal tax rate for each individual is as follows: Individual Taxable Income Marginal Tax Rate Teacher $40,259 12% Pediatrician $194,680 35% Mathematician $93,810 24% Registered Nurse $55,350 22%In summary, the marginal tax rate refers to the tax rate that applies to the next additional dollar of income. It is essential to know the marginal tax rate for the calculation of the tax bill. The appropriate marginal tax rate for each individual depends on their taxable income and taxable income bracket. The given table shows the marginal tax rates for single taxable income tax brackets in the year 2018.
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Find the measure of the given arc or chord in ⊙C
The prompt on arcs and chords is to test your ability to recognize congruent patterns.
G) Note that ∡AB = 82°
H) UV = 6; and
I) Secant QR = 15
How did we arrive at the above?G) Note that ∡ED = 82° and is given to be congruent to ∡AB hence, ∡AB = 82°. This is because the degree measure of a minor arc is equal to the measure of the central angle that intercepts it. Since the central angle here is 82°, hence, the arc AB is also 82°
H) UV is a chord. So is UT. They both are congruent, that is =67°.
Since the we know that the Chord UT = 6, then Line segment UV must also be 6.
I) In this case we are given two sets of diagrams.
The first indicates that the Secant is of length 15 and creates an arc of 120°. If that is the case, and QR is also a secant creating an arc ∡QR of 120° then Secant QR must also be 15.
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Can someone help me please
A ball is any one of n boxes and is in the ith box with probability P(i). If the ball is in box i, a search of the box will uncover it with probability alpha i. Show that the conditional probability that the ball is in box j, given that the search of box i did not uncover it, is ((Pj)/ 1- ((alpha(i))* (Pi)) if j does not equal i.
The conditional probability that the ball is in box j, given that the search of box i did not uncover it, is P(j)/1-alpha(i)*P(i) if j ≠ i.
Given a ball is in any one of n boxes, and is in the ith box with probability P(i). If the ball is in box i, a search of the box will uncover it with probability alpha i.The conditional probability that the ball is in box j, given that the search of box i did not uncover it, is P(j)/1-alpha(i)*P(i) if j ≠ i.
Proof: The probability that the ball is in box j and not in box i is given as: P(j) * (1 - alpha(i)) * (1 - P(i)). It is worth noting that there are four possible scenarios: 1. Box j is selected and found not to contain the ball
2. Box j is selected and found to contain the ball. 3. Box i is selected and found not to contain the ball 4. Box i is selected and found to contain the ball.
The first two scenarios will not satisfy the given condition, which requires that the ball not be found in box i. The last scenario implies that the ball is in box i, which is inconsistent with our assumption that the ball is not in box i.
We can express the conditional probability as follows: P(j|not in i) = P(j and not in i)/P(not in i) = P(j) * (1 - alpha(i)) / (1 - P(i) * alpha(i))= P(j)/(1- P(i)*alpha(i)) * (1 - alpha(i))when j ≠ i, this yields: P(j|not in i) = P(j)/(1- P(i)*alpha(i)) when j = i, we have: P(i|not in i) = 0. Therefore, the conditional probability is given as: P(j|not in i) = P(j)/(1- P(i)*alpha(i)) if j ≠ i. Hence Proved.
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what's the product of 9 (-8)
Answer:
-72
Step-by-step explanation:
I googled it.
Answer:
-72
Step-by-step explanation:
You take the 9, multiply by the -8, and boom. You get -72.
And when you multiply two opposite signs together, it equals to a negative number.
Boom bam boom you became a bit smarter
Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2
The rate of increase in the area of the square is 70 cm²/s when the area of the square is 25 cm².
Each side of a square is increasing at a rate of 7 cm/s. The area of the square is 25 cm².
The area of the square is given by A = a²
Where A is the area of the square and a is the length of the side of the square.
Differentiate both sides of the equation with respect to time we get:
dA/dt = 2a.da/dt
Substitute a = √A in the above equation to get:
dA/dt = 2√A.da/dt
Substitute A = 25 and da/dt = 7 in the equation dA/dt = 2√A.da/dt to get:
dA/dt = 2 x √25 x 7
dA/dt = 2 x 5 x 7
dA/dt = 70 cm²/s
Therefore, the rate of increase in the area of the square is 70 cm²/s.
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Ten people were asked to use their calculator to randomly generate a number between 1 and 100.
What is the chance that at least two people generated the same number?
Answer:
10% chance
Step-by-step explanation:
Answer:
Random numbers can be quickly and easily generated by using the graphing calculator.
Step-by-step explanation:
which factors will influence the margin of error when the population standard deviation is unknown? check all that apply.
We need to know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.
Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.
Therefore the margin of error is influenced by confidence level and sample size.
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How much interest will you earn on $300 at 3% for 3 years?
Answer:
$327.00 (total interest)
Step-by-step explanation:
This is simple interest
Converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
A = 300[1 + (0.03 × 3)] = 327
A = $327.00
Answer: 27.82
Step-by-step explanation: Based on Principal Amount of $300, at an interest rate of 3%, over 3 year(s):