Answer:
The correct answer is \(108\pi (yd^3)\).
Step-by-step explanation:
The formula to find a volume of a cone is \(\pi r^2*\frac{h}{3}\), where \(r\) represents the radius and \(h\) represents the height of the cone. By substituting the values in, you'll get that the volume of the cone is equivalent to \(\pi*6^2*\frac{9}{3}\) = \(36\pi * 3\) = \(108\pi (yd^3)\), so that is the answer.
Answer:
108 cu. yd.
Step-by-step explanation:
V = \(\frac{\pi r^{2} h}{3}\) = \(\frac{ \pi 6^{2} *9}{3}\) = \(\frac{36(9)\pi }{3}\) =\(\frac{ 324\pi }{3}\) = 108 cu. yd.
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Which table has a constant of proportionality between y and c of 3/4?
Answer:
answer Is A.............
A shoebox has a volume of 64 in.³ and a surface area of 160 in.² what is the surface area of a similar shoe box if its volume is only 27 in.³ show your work or explain how you got your answer
Answer:
90 in²
shoebox:
volume = 64 in³surface area = 160 in²Another shoebox:
volume = 27 in³surface area = x in²====================
\(\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2\)
====================
\(\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2\)
\(\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}\)
\(\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}\)
\(\sf \hookrightarrow \ x^3 = 729000\)
\(\sf \hookrightarrow \ x = \sqrt[3]{729000}\)
\(\sf \hookrightarrow \ x = 90\)
i need help with question 28;
Answer:
Hope this helps!
A ride at an amusement descends 24 feet each second. If the ride
lasts for 7 seconds, find the total change in elevation.
Answer: The ride descends 168 feet.
Step-by-step explanation:
24 Feet x 7 seconds = 168 feet
For every second it is 24 feet, so 24 x 7.
The total change in elevation will be descending 168 feet when the ride lasts for 7 seconds.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
Given that a ride at an amusement descends 24 feet each second.
We have to determine the total change in elevation when the ride lasts for 7 seconds.
The total change in elevation is equal to the multiplication of 24 feet each second and the ride lasts for 7 seconds.
According to the given question, the solution would be
Total change in elevation = 24 Feet × 7 seconds
Apply the Multiplication operation,
Total change in elevation = 168 feet
Thus, the total change in elevation will be descending 168 feet when the ride lasts for 7 seconds.
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On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
3. Which property of multiplication is shown by the equation
14.y.1 = 14y?
A. Associative
C. Commutative
B. Distributive
D. Identity
Answer:
identity
Step-by-step explanation:
it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.
Answer:
identity
Step-by-step explanation:
the area of right triangle $abc$ is $4$, and the hypotenuse $\overline{ab}$ is $12$. compute $\sin 2a.$
The value of $\sin 2a$ is $\frac{35}{39}$. To find $\sin 2a$, we first need to determine the measure of angle $a$.
Since we are given that the area of the right triangle $abc$ is $4$ and the hypotenuse $\overline{ab}$ is $12$, we can use the formula for the area of a right triangle to find the lengths of the two legs.
The formula for the area of a right triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Given that the area is $4$, we have $\frac{1}{2} \times \text{base} \times \text{height} = 4$. Since it's a right triangle, the base and height are the two legs of the triangle. Let's call the base $b$ and the height $h$.
We can rewrite the equation as $\frac{1}{2} \times b \times h = 4$.
Since the hypotenuse is $12$, we can use the Pythagorean theorem to relate $b$, $h$, and $12$. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
So we have $b^2 + h^2 = 12^2 = 144$.
Now we have two equations:
$\frac{1}{2} \times b \times h = 4$
$b^2 + h^2 = 144$
From the first equation, we can express $h$ in terms of $b$ as $h = \frac{8}{b}$.
Substituting this expression into the second equation, we get $b^2 + \left(\frac{8}{b}\right)^2 = 144$.
Simplifying the equation, we have $b^4 - 144b^2 + 64 = 0$.
Solving this quadratic equation, we find two values for $b$: $b = 4$ or $b = 8$.
Considering the triangle, we discard the value $b = 8$ since it would make the hypotenuse longer than $12$, which is not possible.
So, we conclude that $b = 4$.
Now, we can find the value of $h$ using $h = \frac{8}{b} = \frac{8}{4} = 2$.
Therefore, the legs of the triangle are $4$ and $2$, and we can calculate the sine of angle $a$ as $\sin a = \frac{2}{12} = \frac{1}{6}$.
To find $\sin 2a$, we can use the double-angle formula for sine: $\sin 2a = 2 \sin a \cos a$.
Since we have the value of $\sin a$, we need to find the value of $\cos a$. Using the Pythagorean identity $\sin^2 a + \cos^2 a = 1$, we have $\cos a = \sqrt{1 - \sin^2 a} = \sqrt{1 - \left(\frac{1}{6}\right)^2} = \frac{\sqrt{35}}{6}$.
Finally, we can calculate $\sin 2a = 2 \sin a \cos a = 2 \cdot \frac{1}{6} \cdot \frac{\sqrt{35}}{6} = \frac{35}{39}$.
Therefore, $\sin 2
a = \frac{35}{39}$.
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Anna just accepted a job at a new company where she will make an annual salary of $66000. Anna was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Anna make as a salary after 6years working for the company? What would be her salary after t years?
Answer:
90000
Step-by-step explanation:
I put 4000 times 6 years then added that to 66000 then got 90000.
What is the solution to this system? -2x =14y=16x-4
Answer:
-2x =14y=16x-4
No Solution
Step-by-step explanation:
Sorry there is no solution found
Maybe you asked if it was all real numbers, no solution and and etc. The answer would be no solution
What is the y and x-intercept of the equation below?
2x+6y=12
Answer:
2 on the y axis and 6 on the x axis
Step-by-step explanation:
Answer:
x intercept : (6,0)
y intercept : (0,2)
Step-by-step explanation:
what is negitive 7 minus positive 2
Negative 7 = -7
Positive 2 = +2
To Find The Difference Of The NumberAfter Evaluating We Get\( - 7 - ( + 2) \\ \\ = - 7 - 2 \\ \\ = - 9\)
Hope This Helps Youdefinerewrite the pair of functions as one composite function. (be sure to use p as the independent variable.) f(t) = 8et; t(p) = 4p2
f(t(p)) = ____?
The composite function is f(t(p)) = 8e^(4p^2).
First, we need to substitute the expression for t in terms of p into the expression for f. We get:
f(t(p)) = 8e[t(p)]
Now, we can substitute the expression for t in terms of p:
f(t(p)) = 8e[4p^2]
Simplifying the expression, we get:
f(t(p)) = 8e^(4p^2)
Therefore, the composite function is f(t(p)) = 8e^(4p^2).
When working with functions, sometimes it is useful to combine them into a single composite function. To do this, we can substitute the expression for one function into the other and then simplify.
In this problem, we are given two functions, f(t) and t(p), and we are asked to write them as a single composite function using p as the independent variable.
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Aria is working two summer jobs, making $14 per hour lifeguarding and making $10 per hour walking dogs. In a given week, she can work a maximum of 14 total hours and must earn no less than $160. If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
5 hours for life guarding and 9 hours for walking dogsStep-by-step explanation:
\(14 \times 5 = 70\)
And
\(10 \times 9 = 90\)
\(90 + 70 = 160\)
Please rate it or give me brainliest but its alright if you don't, I'm not forcing u
x^2+40*x+c find the answer to c
Answer:
400
Step-by-step explanation:
use the formula (b/2)^2 where 'b' is 40 to find the value of 'c'
(40/2)^2=20^2=400
How do I solve this ?8x-5=2x+25
two widely used metrics of variation are the __________ and the _________.
The two widely used metrics of variation are the coefficient of variation (CV) and the standard deviation (SD).
Coefficient of variation (CV) is a measure of relative variation and is often used to compare variation between populations or groups with different means. It is calculated as the ratio of the standard deviation to the mean, multiplied by 100 to express the result as a percentage. It's a dimensionless value, which means it can be used to compare the variation of different variables that are measured in different units.
Standard deviation (SD) is a measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance, which is the average of the squared differences from the mean. Standard deviation is a measure of absolute variation and is typically used to describe the spread of data within a single population or group.
Both of these metrics are important in understanding the variation within a population, with the CV being useful in comparing different groups and SD being used to describe the spread of data within a single group.
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FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related..
A/an database schema diagram can be used to show how the tables in a database are defined and related.
This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and their attributes, and the relationships between them.
The database schema diagram helps in the understanding the logical design of the database, including primary keys, for foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in designing, modifying, and querying the database effectively.
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Which expressions are equivalent to x^2+6x+8 ? Select all that apply.
Answer: 3(2x+4), 6(x+2), and 2(3x+6)
Step-by-step explanation: tell me if you dont understand :)
Misha bought a CD for 14.95 if tax was 7% how much did she pay
Answer:
$15.99
Step-by-step explanation:
You first have to find 7% of 14.95 and then ADD that to $14.95
David is tossing bean bags at a school party. Here are the results of his tosses: • 3 bean bags in the hole, each worth 25 points. • 6 bean bags in the hole, each worth 75 points. • 4 bean bags in the hole, each worth 125 points. How many points did he get in total?
David scored 75 + 450 + 500 = 1025 points.The total number of points he earned for each set of bean bags. For the first set, he earned 3 bean bags x 25 points per bag = 75 points.
The second set, he earned 6 bean bags x 75 points per bag = 450 points. For the third set, he earned 4 bean bags x 125 points per bag = 500 points.
David got a total of 1050 points.
To find the total number of points, we simply add up the points earned for each set: 75 + 450 + 500 = 1050. Therefore, David earned a total of 1050 points for his tosses at the school party.
David scored the following points:
• 3 bean bags x 25 points each = 75 points
• 6 bean bags x 75 points each = 450 points
• 4 bean bags x 125 points each = 500 points
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Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. What should funsters do?.
Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. Funsters should increase the supply of its doll now before the other doll hits the market.
The Benefits of Business Competition1. Addressing Customer Needs
Often business competition motivates brands and businesses to meet customer needs, vying to be more effective than their competitors. This encourages brands to develop an understanding of audience needs.
This competition resulted in a focus on meeting customer needs including higher quality products, increased service value, and increased customer satisfaction.
2. Analyze Strengths and Weaknesses
Business competition can drive an evaluation of strengths and weaknesses, as well as optimizing sales strategies based on these findings. This enables a business to maximize resources, make informed decisions about marketing and sales strategies, and tailor offerings according to their strengths.
3. Increasing Demand
Business competition is an effective way to increase demand for a product or service. As more companies invest in their marketing and advertising efforts, the consumer demand for their products and services may increase as brand awareness increases.
3. Encouraging Innovation
In order to gain an advantage in the market, business competition can drive to innovate strategies and improve their products or services in creative ways. This is an important contribution to continuously improving the quality of goods and services, advancing product and service technology, and adapting to changing consumer needs.
4. Show Excellence
A business often tracks and analyzes competitors' performance to gain insight into their business strategy. By studying competitors' tactics, a business will be able to demonstrate their superiority in the market. So that many businesses can develop strategies that will result in success.
5. Promoting Business
Continuous business development can be an important factor in long-term success. Business competition is often challenging to continue to increase brand awareness, promote, analyze success, and develop new methods to achieve even bigger goals.
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you want to estimate the mean sat score of all georgia students. you know the mean score for a random sample of georgia students is 1050. what number is your best guess as to the mean score for all georgia students?
The best guess for the mean score for all the Georgia students would be 1050 number here.
Given that:
The mean score for a random sample of Georgia students is 1050.
Assuming,
1) X-bar = 42; µ = 44; standard deviation (sigma) = 10; N = 64. Calculate the standard error.
1) The standard error is computed as:
\(\sigma_{\bar X} = \frac{\sigma}{\sqrt{n}} = \frac{10}{\sqrt{64}} = 1.25\)
2) You know that X-bar = 42, mu = 44, sigma-sub-X = 10, and N = 64, Calculate z-obtained.
2) The Z-value is computed as:
\(Z = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{N}}} = \frac{42- 44}{\frac{10}{\sqrt{64}}} = -1.6\)
3) The mean score on most IQ tests is 100 with a standard deviation of 15. If Sally has a score of 110 on an IQ test, what is her z-score.
3) The Z -score here is computed as:
\(Z = \frac{X -\mu}{\sigma} = \frac{110-100}{15} = 0.6667\)
The best point estimate for the population mean score is equal to the sample mean which is 1050 in this case. Therefore the best guess for the mean score for all the Georgia students would be 1050 here.
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(NEED HELP WILL MARK BRAINLIEST)
_____is the effort to improve something by correcting faults.
A. "Sacrament"
B. "Reform"
C. "Contradict"
D. "Indulgent"
Explain your answer
Answer:
D
Step-by-step explanation:
Answer: Reform
Step-by-step explanation:
Reform means make changes in order to improve it.
Determine the equivalent system for the given system of equations.4x − 5y = 23x − y = 8a. 4x − 5y = 213x − 8y = 4b. 4x − 5y = 210x + 3y = 15c. 4x − 5y = 213x − 8y = 26d. 4x − 5y = 27x + 6y = 10
Answer:
d. 4x − 5y = 27x + 6y = 10
I hope my answer helps you.
Question 4 (Essay Worth 10 points)
(05.06 MC)
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Source
StylesFormat
The motion of the ant is a nonlinear graph;
It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.
THE TYPE OF GRAPH
The graph has 3 different straight lines, all of which point to different directions.
For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.
THE SEGMENTS OF THE GRAPH
The increasing segment of the graph is the segment that points in the upward direction.
In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.
The decreasing segment of the graph is the segment that points in the downward direction.
In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.
The constant segment of the graph is the segment that is represented by a horizontal line
In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.
THE MOTION OF THE GRAPH
The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.
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Answer: got 100% on test
Step-by-step explanation:
Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.
Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.
Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.
is 4/20 and 3/12 proportional
Answer:
no it is not
Step-by-step explanation:
you would have to get a common denominator which would be 60 so 12 times 5 is 60 and 20 times 3 is 60
then you multiply 4 by 3 and thats 12 and 3 times 5 is 15 so no they arent perportional
The average home size in the United States in 1970 was 1,400 square feet. The average size was about (5)(3) times greater in 2004. What was the average home size in 2004?
The average home size in the United States in 2004 was 7,000 square feet.
To solve this problem, we can use the concept of ratios. Let x be the average home size in 2004.
The concept of ratios involves comparing two or more quantities by expressing them as a fraction or a division of one quantity by another. It is used to determine how much larger or smaller one quantity is than another, and is often used in mathematics, science, finance, and other fields
We know that the average home size in 1970 was 1,400 square feet, and that the average size in 2004 was about 5 times greater. This can be expressed as:
x = 5(1,400)
Simplifying the right side of the equation, we get
x = 7,000 square feet
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how many distinct lines represent altitudes medians interior angle bisecrots of a isosceles triangle but not equilateral
The altitudes, the medians, and the angle-bisectors are distinct for the congruent sides but coincident for the base. Hence, 7 lines.
Now, According to the question:
Altitude. A line segment joining a vertex of a triangle with the mid-point of the opposite side. An altitude is a perpendicular line segment drawn from a vertex of a triangle to the opposite side. It divides the opposite sides into two equal parts.
A Median of a triangle is a straight line segment which is drawn from the vertex of a triangle to the middle point of the opposite side. It splits the opposite side of the triangle into two equal line segments. That means we know that it's a median if we have got those equal line segments.
The altitudes, the medians, and the angle-bisectors are distinct for the congruent sides but coincident for the base. Hence, 7 lines.
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PLEASE HELP!!! I need these answers for Geometry.
Answer: x=(y+9)5−32 simplified
Step-by-step explanation:
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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