the radius of a cone is increasing at a rate of 3 33 centimeters per second and the height of the cone is decreasing at a rate of 4 44 centimeters per second. at a certain instant, the radius is 8 88 centimeters and the height is 10 1010 centimeters. what is the rate of change of the volume of the cone at that instant (in cubic centimeters per second)?

Answer:

The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side.

Step-by-step explanation:

[tex]4-\cfrac{2}{3}b+\cfrac{1}{4}a~~ + ~~\cfrac{1}{2}a+\cfrac{1}{6}b-7\implies 4-\cfrac{2b}{3}+\cfrac{a}{4}~~ + ~~\cfrac{a}{2}+\cfrac{b}{6}-7 \\\\\\ \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left(-\cfrac{2b}{3} + \cfrac{b}{6}\right)+(4-7)\implies \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left( \cfrac{b}{6}-\cfrac{2b}{3} \right)+(4-7)[/tex]

[tex]\left( \cfrac{(1)a+(2)a}{\underset{\textit{using this LCD}}{4}} \right)+\left( \cfrac{(1)b-(2)2b}{\underset{\textit{using this LCD}}{6}} \right)+(-3) \\\\\\ \left( \cfrac{a+2a}{4} \right)+\left( \cfrac{b-4b}{6} \right)-3\implies \left( \cfrac{3a}{4} \right)+\left( \cfrac{-3b}{6} \right)-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} \cfrac{3}{4}a-\cfrac{1}{2}b-3 \end{array}}~\hfill[/tex]

The following is most likely a parameter as opposed to a statistic is registered voters in a county.

A parameter in statistics is any measurable number of a statistical population that summarises or describes some aspect of the population, as opposed to its typical application in mathematics, such as a mean or a standard deviation. A limited collection of factors that perfectly characterise a population and may be used to create a probability distribution for the purposes of taking samples from that population can be assessed if it exactly follows a known and defined distribution, such as the normal distribution.

The family is a parameterized family if the index is also a parameter of its members. The normal distributions, Poisson distributions, binomial distributions, and exponential family of distributions are examples of parameterized families of distributions.

Learn more about Statistical parameter:

https://brainly.com/question/13794992

#SPJ4

Answer:

y-(-10)=3(x-(-4)

Step-by-step explanation:

Using slope point formula (y-y1=m(x-x1)) we can use the given coordinates to fill in the equation.

y1=-10 & x1= -4

Put those into the equation: y-(-10)= m(x-(-4))

Now we need to find the slope using slope formula y2-y1/x2-x1: -19-(-10)/-7-(-4)= -9/-3

Simplify the slope: -9/-3= 3

End up with your final equation: y-(-10)=3(x-(-4))

-Hope this helped

Answer:

x^2 - 6

Step-by-step explanation:

square of a number: x^2

6 is subtracted: -6

Answer: (38, 25) or x = 38 and y = 25

Step-by-step explanation:

      We will use the measurement of a straight line and vertical angles to help us solve.

      First, vertical angles are congruent. We will set up an equation and use inverse operations to isolate the x variable.

  Given:

(3x - 33) = (2x + 5)

  Add 33 and subtract 2x from both sides of the equation:

x = 38

      Next, we know a straight line is equal to 180 degrees. We can substitute the value we found above for x. Then we will simplify and use inverse operations to isolate the y variable.

  Given:

(2x + 5) + (4y - 1) = 180

  Substitute for x:

(2(38) + 5) + (4y - 1) = 180

  Simplify:

81 + (4y - 1) = 180

  Subtract 80 (81 - 1) from both sides of the equation:

4y = 100

  Divide both sides of the equation by 4:

y = 25

The average gas mileage of the mini-vans for each u. s. car manufacturer is an example of a quantitative variable. A quantitative variable is a type of variable that measures a numerical value.

The average gas mileage of the top-seller mini-vans for each U.S. car manufacturer is a numerical value, as it is measuring the average number of miles a mini-van can travel on one gallon of gas. This numerical value can be used to compare the performance of different mini-vans from different manufacturers.

Quantitative variables are usually expressed as numerical values and are usually measured on an interval or ratio scale. gas mileage for the mini-vans for each U.S. car manufacturer is an example of a quantitative variable because it is a numerical value that can be used to compare the performance of different mini-vans from different manufacturers.

To know more about quantitative variables refer to the link brainly.com/question/14583272

#SPJ4

The time when the two companies would cost the same amount is after 3 hours.

Based on the information provided above, beach bikes company charges $10 bike fee and $8 per hour. Therefore, the total cost, y, can be represented by this equation:

y = 8x + 10    .......equation 1.

where:

x represents the number of hours.

For the second option, bikes unlimited charges $5 per hour and a $19 bike fee. Therefore, the total cost, y, can be represented by this equation:

y = 5x + 19    ....equation 1.

By equating equation 1 and equation 2, we have the following:

8x + 10 = 5x + 19

8x - 5x = 19 - 10

3x = 9

x = 9/3

x = 3 hours.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Answer:

6.0 min

Step-by-step explanation:

20/3=6 remain 2 = 2 x 1min commercial

6 mins long

The sample space of the statistical experiment of randomly choosing one of the great lakes from a map is the set of all possible outcomes, which are the five great lakes: Superior, Huron, Erie, Ontario, and Michigan.

A random experiment's sample space S is defined as the set of all potential experiment results. The outcomes of a random experiment, also known as sample points, are mutually exclusive (i.e., they cannot occur simultaneously).

A random experiment's sample space is the collection of all conceivable results. A random experiment's related event is a subset of the sample space. Any outcome's probability is a number between 0 and 1. All of the outcomes have a probability of one.

The sign "S" is used to indicate the sample space. An experiment's events are the subset of conceivable outcomes. Depending on the experiment, a sample area may contain a variety of outcomes.

For more questions on  sample space of statistical experiment

https://brainly.com/question/29053133

#SPJ4

A possible equation for F(x) is given as follows:

A. F(x) = 0.4x² + 1.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

From this graph, function f(x) is moved up one unit, hence:

F(x) = ax² + 1.

The function f(x) was also vertically compressed, meaning that a < 1, hence:

F(x) = 0.4x² + 1.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

The ratio of drink mix to mixed energy drink is 3:11

8 cups water

3 cups drink mix

We already know the amount of drink mix because the problem gives it to us (3 cups)

As for the amount of mixed energy drink we have to add the two values to get the total.

8 + 3 = 11

Hence the ratio of drink mix to mixed energy drink is 3:11  

hope that helps :)

Answer:

72⁰

Step-by-step explanation:

180-36= 144 (angles in a triangle=180)

144/2=72 (parallel lines are equal)

Answer:

A. x ≤ -4 or x > 7

Step-by-step explanation:

4x + 2 ≤ -14

Subtract 2 from both sides:

4x ≤ -16

Divide both sides by 4:

[x ≤ -4]

3x - 5 > 16

Add 5 to both sides:

3x > 21

Divide 3 from both sides:

[x > 7]

Image 1: A.

Image 2: B

The definition of a function in mathematics is the confluence of each member of a set (named a domain), to members of another set (named a codomain). The function in question is different from the definition of function in a general sense.

In functions, there are several important terms, including:

Learn more about function in math at

https://brainly.com/question/15096947

#SPJ1

Answer:

a = 3, b = 10

Step-by-step explanation:

Opposite sides of a parallelogram are equal, so:
3a + 1 = b
5a = 2b - 5
Substituting 3a + 1 = b  in the second equation,
5a = 2(3a + 1)  - 5
= 6a + 2 -5
= 6a -3
6a - 5a = 3
So, a = 3
Now, 3a + 1 = b
So, b = 3(3) + 1
= 9 + 1
= 10

The upper bound is 1842 and lower bound is 1692. By using these boundaries and t-table, the sample mean is 1767 and sample standard deviation = 133.98.

Here, the two boundaries are 1692 and 1842.

Mean = (1692+1842) /2 = 1767

Here the degree of freedom, df = (n-1) = 25-1 =24

Margin of error = (1842-1692)/2 = 75

Confidence level = 99%

From the t table, value of T with confidence level 99% and df= 24 is 2.80

The equation for margin of error is M = Ts/√n

            M= 75 , T= 2.80, n =25

75 = (2.80 × s) / √25

75 = 2.80s/ 5

s = (75×5)/2.80 = 133.928 = 133.93

So the sample mean is 1767 and the standard deviation is 133.93.

For more details regarding mean and standard deviation, kindly refer

https://brainly.com/question/16287436

#SPJ4

Answer:

y = 20

Step-by-step explanation:

[tex]\frac{8}{12}[/tex] = [tex]\frac{y}{30}[/tex] ( cross- multiply )

12y = 8 × 30 = 240 ( divide both sides by 12 )

y = 20

A statistic is a numerical summary of a sample of data used to make inferences about a population. So, option A is the answer.

A statistic is a numerical value calculated from a sample of data. In the case of the poll, 92% represents the percentage of people in the sample who reported that their family's financial situation would be as good or better in a year's time. The statistic summarizes the data collected from the sample, and is used to make inferences about the population from which the sample was drawn.

Statistics play a crucial role in many fields, including economics, business, medicine, and social sciences. By analyzing a sample of data, rather than the entire population, statisticians can draw inferences and make predictions about the population.

For example, in the case of the poll mentioned in the question, the 92% statistic provides an estimate of the proportion of the population who believe their financial situation will be as good or better in a year's time. While the sample is not the entire population, the statistic provides valuable information about the population and can be used to make decisions and plan for the future.

It's important to note that statistics are only as good as the sample from which they are derived. The sample should be representative of the population, and the method of sampling should be carefully chosen to ensure that the sample is representative. Otherwise, the statistic may not accurately reflect the population, and any inferences or predictions made based on the statistic may be incorrect.

Learn more about statistic here:

https://brainly.com/question/13219710

#SPJ4

Zelma is 28 years old and her son is 10 years old. We brought this conclusion with the help of algebra.

Let x = son's age now

Then, x+18 = Zelma's age now

x-1 = son's age one year ago

x+17 = Zelma's age one year ago

x+17 = 3(x-1)

x+17 = 3x-3

   2x = 20

     x = 10

Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables as if they were numbers and is therefore essential in all applications of mathematics.

To know more about algebra, visit: brainly.com/question/13715639

#SPJ4

The four intgers would give my the product -24, can be, -2,2,2,3

or, _-2, 4, 3 , 1.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

-24

we know,

-24

= -4 * 6

= -2*2 * 2*3

Hence, The four intgers would give my the product -24, can be, -2,2,2,3

or, _-2, 4, 3 , 1.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

Answer:

3 is y = -2x +1 and y = -2x -3 that's three

The correct statement is,

The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.

Option C is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, By the photo, we know that:

Median: 7

Upper quartile: 9

Lower quartile: 4

Hence, We get;

Interquartile range = 9 - 4 = 5

Lower quartile to median = 7 - 4 = 3

Upper quartile to median = 9 - 7 = 2

Thus, The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The money to charge for his next job, Mark should charge $550 to earn a profit from the job.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given that Mark is trying to decide how much money to charge for his next job,

cost of supplies = $275

cost of machine = $125

total expenditure = $275 + $125

total expenditure =  $400

profit Mark wants = $150

minimum amount he should charge to get the profit = $400 + $150

minimum amount he should charge to get the profit = $550

Hence he should charge at least $550.

Learn more about arithmetic operations;

https://brainly.com/question/25834626

#SPJ1

The percentage of students who scored below 320 is about 0.82%.

To find the percentage of students who scored below 320, we need to use the Z-score formula to find the Z-score for 320 and then use a Z-table to find the proportion of scores below 320.

Z = (320 - 500) / 75 = -3.73

Using a Z-table, we find that the proportion of scores below -3.73 is 0.0002. So, the proportion of scores above 320 is 1 - 0.0002 = 0.9998 or 99.98%.

Therefore, the percentage of students who scored below 320 is 100% - 99.98% = 1.02%. Rounded to the nearest hundredth, this is about 0.82%.

To know more about Z-score, here

https://brainly.com/question/17649506

#SPJ4

Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

If you don't see the intersection point on your graphing tool, it may mean that the intersection is not within the range of the graph or that the graphs are not intersecting at a specific point.

In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the intersecting lines share a common point.

In this case, you can try to adjust the range or zoom in on a specific area to find the intersection. If the graphs are not intersecting at a specific point, it means they are either parallel or coincident.

Read more about intersection point here:

https://brainly.com/question/30428073

#SPJ1

Thus, the three terms of an arithmetic progression are (8, 13, and 18) or, (9, 13, and 17).

Let three terms of an arithmetic progression = (a - d), a, ( a + d)

According to the question:

The sum of three terms of an arithmetic progression = 39

∴  (a - d) + a + ( a + d) = 39

⇒ 3a = 39

⇒ a = 13

Also, The product of three terms of an arithmetic progression = 2145

∴  (a - d)a( a + d) = 2145

⇒ a(a^2 - d^2) =  2145

Put a = 13, and we get

d=4

Three terms of an arithmetic progression = (13 - 4), 13 and ( 13 + 4)

= 9,13,17

Put a = 13 and d = 4

Thus, the three terms of an arithmetic progression are (8, 13, and 18) or, (9, 13, and 17).

learn more about  arithmetic progression

https://brainly.com/question/30364336

#SPJ4

Answer:

2/5 is bigger

Step-by-step explanation:

if you have a pie with 8 slices and you eat 2, and have a pie containing 5 slices and eat 2 which empty space will be larger? think of it that way and i hope that helps

In order to test the efficacy of the drug, some students are provided with the actual drug whereas others are provided with a dummy version of the drug.

To test the efficacy of the drug, you want to compare the exam scores of the students who took the drug to those who took the placebo. This is known as a double-blind, randomized controlled trial and it is considered the gold standard for evaluating the effectiveness of a treatment. By comparing the scores of the students who took the drug to those who took the placebo, you can determine whether the drug is actually improving exam performance or if the improvement is due to other factors such as placebo effect or chance.

Learn more about placebo effect here brainly.com/question/10913418

#SPJ4