The lateral surface area of the cone is 1885 square meters
Calculating the lateral surface area of the coneFrom the question, we have the following parameters that can be used in our computation:
A cone
Where we have
Slant height, l = 40 meters
Radius = 15 meters
The lateral surface area of the figure is then calculated as
LA = πrl
Substitute the known values in the above equation, so, we have the following representation
LA = π * 40 * 15
Evaluate
LA = 1885
Hence, the lateral surface area of the cone is 1885
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Question
4. Find the lateral area of the cone to the nearest whole number.
Slant height, l = 40 meters
Radius = 15 meters
is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
if x=2 and x=y what is y
Answer:
2 = x (by the symmetric property) and x = y, so y = 2 by the transitive property.
Happy Party Rental rents tables for $4 per
table plus a delivery fee of 60. Budget
Party Rental rents tables for $8 per table
plus a $20 delivery fee. How many tables
do you have to rent to have the cost of the
rental be the same. Write and solve an
equation.
The equations are H = 4x + 60 and P = 8x + 20. We need to rent 10 tables to ensure that the cost of the rental will be the same.
What is system of equations?A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."
Let us suppose tables as x.
Given that,
The happy party rents tables for $4 per table plus a delivery fee of 60. This is expressed as:
H = 4x + 60
Party Rental rents tables for $8 per table plus a $20 delivery fee.
P = 8x + 20
To get the same cost of the rent:
H = P
4x + 60 = 8x + 20
60 - 20 = 8x - 4x
40 = 4x
x = 10
Hence, we need to rent 10 tables to ensure that the cost of the rental will be the same.
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Heidi drove to visit her friend one summer. The miles she traveled are shown on the graph below.
What is the unit rate of miles driven per hour?
A.
100 miles per hour
B.
50 miles per hour
C.
25 miles per hour
D.
75 miles per hour
Answer: 100 miles per hour
Step-by-step explanation:
a triangle has a 40° angle, a 120° angle and a side 2.5 centimeters in length. which of the following statements are true about the triangle?
Answer:
C
Step-by-step explanation:
A triangle is 180 degrees so 120+40 is 160
180-160=20
-14+7m <7h, please answer this I need help
Each pair of numbers (m, h) which meet the inequality is the answer to the inequality. m < h plus 2.
Pairs of numbers: what are they?A factor pair is a collection of two factors that, when multiplied together, produce a certain result in mathematics. In those other words, it's a pair of integers that we multiply to produce a result. For instance, the factor pair that yields the result in the multiplication formula 6 7 = 42 is composed of the numbers 6 and 7. 42
By adding 14 to both sides, starting with -14 + 7m 7h, we may simplify the left side:
-14 + 7m plus 14 < 7h plus 14
Even more condensed, we get at:
7m < 7h plus 14
The inequality can then be divided by 7 on both sides: m h + 2.
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No links, I just need an explanation on how to do this, like step by step because I don't understand. T-T
Answer:
a. Jared and Ali
Step-by-step explanation:
b. Molly make mistake when he/she divide all equation by 4 but left the 8x remain 8x, it should be 2x.
Mark make mistake in changing the sign whitout changing side/ passing trough equal sign. FYI, + can be - and also - can be + if they move to the other side
i.e.
2 + 3 = 5
2 = 5 - 3
Which of the following ratios will form a proportion with 2/3. 1.6/15 2. 12/18 3. 9/12 4. 6/8
Answer:
The answer is 12/18
Step-by-step explanation:
Lets see if 12/18 is proportional to 2/3.
2 * 6 = 12
3 * 6 = 18
So, 12/18 is the answer.
Hope this helps! :)
Which shows how to find the value of this expression when x=-2 and Y = 5? (3x^3y^-2)^2
3^2(-2)^6/5^4
3(-2)^6/5^4
3^2(5)^6/(-2)^4
3/(2)^65^4
plz answer I'll give Brainliest to first (as long as it's right lol)
Find the slope of the line that passes through (2, 2) and (5, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope of the line = m = 4/3
Step-by-step explanation:
Given
The point (2, 2)The point (5, 6)To determine:
Find the slope of the line that passes through (2, 2) and (5, 6).
Finding the slope between (2, 2) and (5, 6)
(x₁, y₁) = (2, 2)(x₂, y₂) = (5, 6)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 2] / [5 - 2]
= 4 / 3
Thus, the slope of the line = m = 4/3
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation:
What is the probability of 3 people sharing the same birthdays? How many different pairs of people are there when there are three humans? (Think nPr or nCr)
The probability of three people sharing the same birthdays is approximately \(0.0000075\) or \(0.00075\)%, and there are three different pairs of people when there are three humans.
The probability of three people sharing the same birthday depends on the assumptions made about the distribution of birthdays. Assuming that birthdays are uniformly distributed throughout the year and that leap years are not considered, there are \(365\) possible birthdays for each person. The first person can have any birthday, and the probability that the second person shares the same birthday is \($\frac{1}{365}$\). Similarly, the probability that the third person shares the same birthday as the first two is also \($\frac{1}{365}$\). Multiplying these probabilities together, we get \($\left(\frac{1}{365}\right) \times \left(\frac{1}{365}\right) = \frac{1}{133,225}$\), approximately \(0.0000075\) or \(0.00075\%\).When there are three humans, the number of different pairs of people can be calculated using the combination formula, also known as \($\binom{n}{r}$\). In this case, \($n$\) represents the total number of people (\(3\)), and \($r$\) represents the number of people chosen at a time (\(2\) for pairs). Applying the formula, we have \($\binom{3}{2} = 3$\). Therefore, there are three different pairs of people when there are three humans: (\(1,2\)), (\(1,3\)), and (\(2,3\)).In conclusion, the probability of three people sharing the same birthdays is extremely low (approximately \(0.0000075 \ or \ 0.00075\%\)), and when there are three humans, there exist three different pairs of people.
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1- Show that Au is the projection of u on the x axis.
2- modify the matrix A to obtain a matrix B so that Bu is theprojection of u on the u axis. A= [1 0; 0 0] u[a;b]
1. To show that Au is the projection of u on the x-axis, first note that Au is the dot product of A and u: Au = [a 0; 0 0]. Since A is a 2x2 matrix, the dot product is simply the multiplication of the elements in the first row of A by the elements in u. In this case, the first row of A contains a single non-zero element, 1, and the product of 1 and a is a, which is the x-coordinate of u. Thus, Au is equal to the projection of u on the x-axis.
2. To modify the matrix A to obtain a matrix B such that Bu is the projection of u on the y-axis, we must add an additional non-zero element to the second row of A. In particular, if we add b to the second row of A, we get the matrix B = [1 0; 0 b]. Thus, Bu = [a b; 0 0]. Since the second row of B contains a non-zero element, b, the product of b and b is b, which is the y-coordinate of u. Thus, Bu is equal to the projection of u on the y-axis.
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URGE!!!! Como despejar
16-36xcuadrada (16-36x2)
Let f(x) = 11x + 2x^2 and g (x) = -7x - 3x^2 + 4 . Find (f + g) (x) and (f - g) (x) . Then evaluate f + g and f - g for x = 2
Composite functions are functions derived from combining other functions
The values of the composite functions are \((f + g)(2) = -3\) and \((f - g)(2) = 41\)
How to determine the composite functionsThe single functions are given as:
\(f(x) =11 + 2x^2\)
\(g(x) = -7x - 3x^2 + 4\)
To calculate (f + g)(x), we make use of
\((f + g)(x) = f(x) + g(x)\)
So, we have:
\((f + g)(x) = 11 + 2x^2 - 7x - 3x^2 + 4\)
Collect the like terms
\((f + g)(x) = 2x^2- 3x^2 - 7x + 4+11\)
Evaluate
\((f + g)(x) = - x^2 - 7x + 15\)
Substitute 2 for x
\((f + g)(2) = - 2^2 - 7(2) + 15\)
\((f + g)(2) = -3\)
To calculate (f - g)(x), we make use of
\((f + g)(x) = f(x) - g(x)\)
So, we have:
\((f - g)(x) = 11 + 2x^2 + 7x + 3x^2 - 4\)
Collect the like terms
\((f - g)(x) = 2x^2 + 3x^2+ 7x - 4 + 11\)
Evaluate
\((f - g)(x) = 5x^2+ 7x +7\)
Substitute 2 for x
\((f - g)(2) = 5 * 2^2+ 7* 2 +7\)
\((f - g)(2) = 41\)
Hence, the values of the composite functions are \((f + g)(2) = -3\) and \((f - g)(2) = 41\)
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The value of f(x) - g(x) and f(x) + g(x) are 52 and 0
Sum and differences of functionGiven the following function expressed as:
f(x) = 11x + 2x^2 and;
g (x) = -7x - 3x^2 + 4
Taking the sum of the function
f(x) + g(x) = 11x + 2x^2 -7x - 3x^2 + 4
f(x) + g(x) = -x^2 + 4x + 4
If x = 2,
f(x) + g(x) = -4 + 8 + 4
f(x) + g(x) = 0
For the difference;
f(x) - g(x) = 11x + 2x^2 + 7x + 3x^2 - 4
f(x) - g(x) = 5x^2 + 18x - 4
If x = 2,
f(x) - g(x) = 5(4) + 36 - 4
f(x) - g(x) = 52
Hence the value of f(x) - g(x) and f(x) + g(x) are 52 and 0
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b Pete won the first heat in 13 minutes 39 seconds. Jacob won the second heat in 14 minutes 16 seconds. Who ran faster? By how much? t
In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.
A second of angle is what?Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.
Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.
Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.
Jacob outpaced Pete by 856 – 819 = 37 seconds.
Pete ran 37 seconds faster as a result.
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what two numbers multiply to 450 and add to 15
Answer:
Here we answer the question: "What two numbers multiply to -450 and add up to 15?"
The answer to your question is:
-15 and 30
Below we illustrate and prove that -15 and 30 multiply to -450 and add up to 15:
-15 × 30 = -450
-15 + 30 = 15 Are you asking because you are trying to determine how to factor the following quadratic equation? x2 + 15x - 450 = 0 If so, the solution to factor the quadratic equation above is: (x - 15 ) (x + 30) To summarize, since -15 and 30 multiply by -450 and add up 15, you know that the following is true: x2 + 15x - 450 = (x - 15 ) (x + 30) Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem. What two numbers multiply to and add to What two numbers multiply to -450 and up to 35?
Here is the next math problem we have solved for you on our list.
Step-by-step explanation:
What is the least common factor of 4 and 10
Answer:
Step-by-step explanation:
Least Common Factors of 4 and 10: 1 and 2
Therefore, 1 is the least common factor.
(I am sure you meant Least Common Multiple and not Least Common Factor, as there is no term like that in mathematics. - The Lowest Common Factor would always be 1)
The LCM would be 20
-2+9=-2(x+3)+8
Is this Infinitely Many Solutions
No solutions
Or One solutions
Answer:
i think it is many but i am not sure
Step-by-step explanation:
a positively skewed distribution is due to: an extremely small number. an extremely large number. the fact that all data is equal. none of these choices are correct.
A positively skewed distribution is due to an extremely large number.
What is positively skewed distribution?A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.
Here,
A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.
Therefore, out of the options provided, the correct answer is "an extremely large number."
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7. What is the surface area of the triangular prism shown?
Answer:
1120 yd²
Step-by-step explanation:
Surface area =
(Perimeter of the base × Length of the prism) + (2 × Base Area) =
(S1 + S2+ S3)L + bh
(17 + 15+ 8)25 + 15*8
40*25+120
1000+120 =
1120
cuemath
At the end of the school day, Mr. Swift's class stacks their chairs. Each chair has a mass of 3 kilograms. Mona can carry 4 stacked chairs at a time.
What is the mass of the stacked chairs that Mona can carry?
Help plssss someone help
Alguien ayúdeme Porfsvor
Answer: B
Step-by-step explanation:
The bag weighs twelve pounds. The unit price is the price per one of the unit, so the unit price is the price for one pound. We know that the price for 12 pounds is $18.75, so the price of one pound is $18.75/12=1.5625, which we round to get $1.56.
Answer:b
Step-by-step explanation:
Do 18.75 divided by 12 and that is how you get it
Write an equation in slope-intercept form of the line that passes through the points.
Answer:
y = 1/4x + 1
Step-by-step explanation:
what standard deviation is used in scientific?
The standard deviation used in scientific research is typically the sample standard deviation, also known as the population standard deviation estimator. It is a measure of the dispersion or variability of data points around the mean.
In scientific research, the standard deviation is a commonly used statistical measure that quantifies the spread of data points in a sample or population. It provides information about how much individual data points deviate from the mean. The sample standard deviation is used when working with a sample of data to estimate the population standard deviation.
The formula for calculating the sample standard deviation involves taking the square root of the average of the squared differences between each data point and the mean. It is represented by the symbol "s" and is used to describe the variability or dispersion of data within the sample.
The population standard deviation, represented by the symbol "σ," is used when working with an entire population rather than a sample. However, in scientific research, due to practical limitations, researchers often rely on sample data to make inferences about the larger population. Therefore, the sample standard deviation is commonly used as an estimator for the population standard deviation.
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-2x + 3 – (5 – 6x)
Simplify
Answer:
Step-by-step explanation:
-2x + 3 – (5 – 6x)
-2x + 3 - 5 + 6x
-2 + 4x
TRUE/FALSE. If the value of the Pearson correlation is r = +1.00 or -1.00, then all data points in a scatter plot fit perfection on a straight line.
False.
While a Pearson correlation coefficient of +1.00 or -1.00 indicates a strong linear relationship between two variables, it does not necessarily mean that all data points will fit perfectly on a straight line. The correlation coefficient measures the strength and direction of the linear relationship, but it does not guarantee that the data points will fall exactly on a straight line.
Scatter plots with a perfect linear relationship will have all data points lying precisely on a straight line, but this is not always the case even when the correlation coefficient is +1.00 or -1.00. There can still be some degree of scatter or variation around the line, depending on other factors such as measurement errors, outliers, or the presence of other nonlinear relationships in the data.
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please help i'll give brainliest
Step-by-step explanation:
24m , 75 m . 54 ,
What is 2 rounded to the nearest whole number?
Answer:
2
Step-by-step explanation:
Compute and expressed the result as a mixed fraction?
1) 2+ 3/4
Answer:
2 \(\frac{3}{4}\)
Step-by-step explanation:
2 + \(\frac{3}{4}\)
= 2 \(\frac{3}{4}\) ← as a mixed number