Total surface area is: 21 ft²
Lateral area is: 12π ft²
The total surface area of this cone is 21π square feet.
What is the total surface area of the cone?The total surface area of the cone is given by the following formula;
\(\rm Surface \ area=\pi r(r+l)\)
Where h denotes the height of the cone and r is the radius and l is the slant height.
The radius of the cone = 3
The height of the cone = 4
Substitute all the values in the formula
\(\rm Surface \ area=\pi r(r+l)\\\\\rm Surface \ area=\pi 3(4+3)\\\\\rm Surface \ area=3\pi \times 7\\\\\rm Surface \ area=21\pi\)
Hence, the total surface area of this cone is 21π square feet.
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HELP MEE! SHOW WORK! FILL IN THE QUESTION MARKS!
9514 1404 393
Answer:
42 students; (28 students); 70 students(60%); 40%; (100%)Step-by-step explanation:
The percentages total 100%, so the missing percentage is
100% - 60% = 40%
The numbers on the number lines are proportional, so now you can write ...
?/100% = 28/40% . . . . . . ? total students
Multiplying by 100% gives ...
? = 28/0.4 = 70 . . . . . total students
Then the 60% portion of students can be found two ways:
60% × 70 = 42 students . . . . 60% of students
70 -28 = 42 students
a cylinder has a diameter or 4 ft and height of 7 ft use 3.14 for pi
Answer:
87.92ft^3
Step-by-step explanation:
Formula:
V= π*r^2 *h
V=π*2^2*7V=π*4*7V=12.56 *7V=87.92ft^3a boat traveled 28 miles in 3 hours at this rate the boat would travel 42 miles in 3 hours.
True or false?
Answer: false
Step-by-step explanation:
Because if it travels 28 miles in 3 hours then it can’t travel 42 in 3 hours because in three hours is travels 28 miles....
Answer:
False.
Step-by-step explanation:
It literally says 28 miles in THREE hours, and 42 miles in THREE hours.
Hope this helps :)
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!
The probability of the simultaneous occurrence of two events A and B is equal to the probability of A multiplied by the conditional probability of B giten that A has occurred (it is also equal to the probability of B multiplied by the conditional probability of A given that B has occurred).
When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.
The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.
Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.
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Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by . The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board
Answer:
6 times
Step-by-step explanation:
Given
\(Start=2\)
\(Ivan=-2\) ---- i.e. multiplies by -2
\(Adeline = 2\) --- i.e. multiplies by 2
\(n=10\) --- signals
Required
Number of times they have the same number
First, we list out all results of Ivan calculations.
To calculate Ivan's list, we simply multiply the current term by -2.
The 10 signals together with the first term, means there will be 11 terms in total
So, we have:
\(Ivan = \{2,-4,8,-16,32,-64,128,-256,512,-1024,2048\}\)
Next, list Adeline's
\(Adeline = \{2,4,8,16,32,64,128,256,512,1024,2048\}\)
Compare the elements of the two lists, we have:
\(Common= \{2,8,32,128,512,2048\}\)
Hence, they have the same number 6 times.
6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
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Guys plz solve this .
Answer:
X=7
Step-by-step explanation:
4x+8=7x-13
-4x. -4x
8= 3x -13
+13. +13
21=3x
21÷3=7
x=7
Answer:
The answer is x = 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
A tablet manufacturer tested 125 tablets and found that 2 had broken screens. how many broken screens should the manufacturer expect out of 45000 tablets?
Answer:
720
Step-by-step explanation:
125tablets, 2 of which had broken screens.
multiply 45000 by 2, then divide 125=720
Answer:
720
Step-by-step explanation:
125 tablets, 2 of which had broken screens.
Multiply the 45,000 by 2, then divide by 125.
So therefore, the answer is 720.
if two unbiased dice are rolled together, then find out the probability to get a number whose product is an even number?
The probability of getting a number whose product is even when rolling two unbiased dice is 18/36 or 1/2.
To find the probability of getting a number whose product is an even number when rolling two unbiased dice, we need to first determine the total number of possible outcomes. When rolling two dice, each die has six possible outcomes, so the total number of possible outcomes is 6 x 6 = 36.
Next, we need to determine the number of outcomes where the product is even. An even number can be obtained by either rolling an even number or by rolling an odd number and an even number. We can break this down into two cases:
Case 1: One even and one odd number. There are three even numbers on a die (2, 4, 6) and three odd numbers (1, 3, 5). So, the number of outcomes where one die is even and one is odd is 3 x 3 = 9.
Case 2: Both numbers are even. There are three even numbers on a die (2, 4, 6), so the number of outcomes where both dice are even is 3 x 3 = 9.
Therefore, the total number of outcomes where the product is even is 9 + 9 = 18.
So, the probability of getting a number whose product is even when rolling two unbiased dice is 18/36 or 1/2.
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Two fair dice are renumbered using -2, -1, 0, 1, 2, 3 instead of the
usual numbers. The two dice are thrown in the normal way.
Draw a table to show the total score for each of the possible
outcomes
(b) How many ways are there of scoring 0 ?
Pls help ASAP
Answer:
6
Step-by-step explanation:
the number of occurs over 0
A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?
1 minute = 60 seconds
60 seconds/ 3 seconds = 20
480 feet x 20 = 9,600 feet
The elevator travels 9,600 feet per minute.
Answer:
160 feet per minute
Step-by-step explanation: i am 100% sure
x is an irrational number between 7 and 10 . what is the value of x
3
+ 2
=
A
+
+
+
1
=
4
0 II
II
=
D
+
5
11
B
Answer:
I don't get the question well. I think you have to put it clear.
for each pair of points below think about the line that joins them. for which pairs is the line parallel to the x-axis?
Pair of points representing parallel line to the x-axis from the given pairs is equal to option a. (3.2, 7) and (5, 7).
As given in the question,
Line parallel to the x-axis has slope = 0
Calculate the slope of each pair of points :
a. (3.2, 7) and (5, 7)
Slope = (y₂ - y₁)/ (x₂ - x₁)
= ( 7- 7) / ( 5 - 3.2)
= 0
Pair of points represents parallel line to x-axis.
b. (8, 8.4) and (8, 8.8)
Slope = (y₂ - y₁)/ (x₂ - x₁)
= ( 8.8- 8.4) / ( 8 - 8)
= not defined
Pair of points is not parallel to x-axis.
c. (6 1/2, 12) and (6.2, 11)
Slope = (y₂ - y₁)/ (x₂ - x₁)
= ( 11- 12 / ( 6.2 - 6.5)
= 1/ 0.3
= 10/3
Pair of points is not parallel to x-axis.
Therefore, pair of points represents parallel line to x-axis is equal to
option a. (3.2, 7) and (5, 7).
The complete question is:
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (3.2, 7) and (5, 7)
b. (8, 8.4) and (8, 8.8)
c. (6 1/2, 12) and (6.2, 11)
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paul records data that indicate that the number of hot chocolates sold at a concession stand increases as temperature outside decreases. (for example, more hot chocolates are purchased during late fall than late spring) which statement is the most accurate depiction of this finding?
Paul records data that the number of hot chocolates sold increases as temperature outside decreases. The depiction of the finding is "There is a correlation between two variables". So, the correct option is A.
Specifically, the data suggest that there is a relationship between two variables - the number of hot chocolates sold and the temperature outside.
When the temperature outside decreases, more hot chocolates are sold, and when the temperature increases, fewer hot chocolates are sold. This indicates that there is a correlation between the two variables, as they appear to be related.
However, we cannot determine from this information alone whether the correlation is strong or weak, or whether it is positive or negative.
The strength of the correlation would depend on how much the sales of hot chocolate increase or decrease as the temperature changes, while the direction of the correlation (positive or negative) would depend on whether the increase or decrease in hot chocolate sales is associated with an increase or decrease in temperature, respectively.
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Complete question is:
Paul records data that indicate that the number of hot chocolates sold at a concession stand increases as temperature outside decreases. (for example, more hot chocolates are purchased during late fall than late spring) which statement is the most accurate depiction of this finding?
a) There is a correlation between two variables
b) There is a strong , positive correlation between two variables
c) There is a weak , positive correlation between two variables
d) There is a negative correlation between two variables
Construct both a 98% and a 80% confidence interval for B₁. B₁=46, s=5.7, SSzz = 57, n = 12 98%:
To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).
Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.
The formula for a confidence interval is:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).
The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).
Plugging in the values:
Standard Error = 5.7 / √12 ≈ 1.647
Confidence Interval = 46 ± (2.681 * 1.647)
Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).
In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.
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The tension in a simple framework are given by the equations: (a) Reduce coefficient matrix to its row echelon form (b) Find adjoint of coefficient matrix (c) Determine using cramer's rule (d) Find the inverse of coefficient matrix by using elementary row operation (e) Determine rank of coefficient matrix
Solution involves several steps:a) reduce coefficient matrix to row echelon form,b) find the adjoint,c) use Cramer's rule,d) find inverse using elementary row operations,e) determine rank by counting nonzero rows.
To solve the system of equations, we need to perform several steps:
(a) To reduce the coefficient matrix to row echelon form, we apply elementary row operations until the matrix has a triangular form. Specifically, we need to use the following operations:
Multiply a row by a nonzero constant.
Add a multiple of one row to another row.
Swap two rows.
(b) To find the adjoint of the coefficient matrix, we first calculate the matrix of cofactors by taking the determinant of each minor (the submatrix obtained by deleting one row and one column) and multiplying it by (-1)^(i+j), where i and j are the row and column indices of the element being deleted. Then we take the transpose of the matrix of cofactors to obtain the adjoint.
(c) To determine the solution using Cramer's rule, we calculate the determinants of the coefficient matrix and the matrices obtained by replacing each column in turn with the constants on the right-hand side of the equations. Then we divide each of these determinants by the determinant of the coefficient matrix to obtain the values of the variables.
(d) To find the inverse of the coefficient matrix using elementary row operations, we augment the matrix with the identity matrix and apply elementary row operations until the left half of the augmented matrix is the identity matrix. Then the right half of the augmented matrix is the inverse of the original matrix.
(e) To determine the rank of the coefficient matrix, we reduce it to row echelon form and count the number of nonzero rows. This gives the number of linearly independent rows in the matrix, which is equal to the rank.
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Fill in the blank.
2. The volume of a cone is _____ the volume of a cylinder with the same base and height.
The volume of a cone is three times the volume of a cylinder with the same base and height.
Step-by-step explanation:
the volume of a cone is equal toone-third of the volume of a cylinderhaving the same base radius and height
3)
1 1/3
is fractions between which set of numbers?
A) 1.3 and 1.4
B) 1.2 and 1.3
□ C) 1.1 and 1.2
□ D) 1.4 and 1.5
None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.
There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.
Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.
Hence, the set of numbers 1 1/3 fraction is 4/3.
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Samuel is buying a pair of boots with an original price of $80.
• Store A is offering a 25% discount off the original price of all boots.
• Store B is offering a $10 discount off the original price of all boots.
Based on this information, which statement is true?
The best deal was given by store A. Because the price at store A is less than store B.
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.
Samuel is purchasing a couple of boots with a unique cost of $80.
Store A is offering a 25% markdown off the first cost, everything being equal. Then the price of the boot will be given as,
⇒ (1 - 0.25) x $80
⇒ 0.75 x $80
⇒ $60
Store B is offering a $10 markdown off the first cost, all things considered. Then the price of the boot will be given as,
⇒ $80 - $10
⇒ $70
Based on this information, the best deal given by store A.
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what is the vertex of the graph function y=4x^2+8x-2
Answer:
vertex = (-1, -6)
Step-by-step explanation:
The function you gave is in the Standard Form : y = aX^2 + bX + c.
So you use the equation x = -b/ 2a to solve for the x coordinate of your vertex.
Based on your question, a =4, b =8 and c = -2.
So you plug that in and get x = -8/2(4). Thus, x value for the vertex is -1.
Now you plug -1 into your original equation to find your y value.
y = 4 (-1)^2 + 8 (-1) -2
So y = -6. Thus, your vertex is at pt (-1, -6)
Instructors can use 32-count phrasing to track time and reps during class. At 128 BPM, how many seconds will a single 32-count phrase take to complete
At 128 BPM, a single 32-count phrase takes 15 seconds to complete.
Instructors use 32-count phrasing as a method to track time and repetitions during class.
To determine how many seconds a single 32-count phrase takes to complete at 128 BPM (beats per minute), we can use the following calculation:
First, find the time per beat:
1 minute / 128 beats = 0.46875 seconds per beat
Next, multiply the time per beat by the number of counts in the phrase:
0.46875 seconds per beat * 32 counts = 15 seconds
So, at 128 BPM, a single 32-count phrase takes 15 seconds to complete. This phrasing method helps instructors maintain a consistent tempo and allows for smooth transitions between exercises in class, ensuring an effective and enjoyable workout experience.
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Please help me, what I need help on is in the picture. (Geometry)
Answer:
34°
Step-by-step explanation:
5x+4+5x-1=73
10x+3=73
10x=73-3
10x=70
x=7
m<ABC=5x-1=5(7)-1=35-1=34°
Tyler buys 3 1/2 pounds of fresh beans. The beans are on sale for $0.98 per pound. Which expressions can Tyler use to calculate the amount of money that he will need to buy the beans? Check all that apply. 3 × 0.5 3.5 × 0.98 7/2 × 98/100 6 × 0.98 O 7 × 49/50
Answer:
B and C or in other words 3.5 x 0.98 and 7/2x98/100
Step-by-step explanation:
The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is y + 2, the length of E B is 3 y minus 4, and the length of E C is 2 y minus 3. What is the sum of the lengths of the two trails? 6 miles 12 miles 16 miles 36 miles
Answer:
\(16\ \text{miles}\)
Step-by-step explanation:
In a parallelogram the diagnols bisect each other. So,
\(DE=EB\\\Rightarrow y+2=3y-4\\\Rightarrow 4+2=3y-y\\\Rightarrow 6=2y\\\Rightarrow y=\dfrac{6}{2}\\\Rightarrow y=3\)
\(DE=y+2\\\Rightarrow DE=3+2\\\Rightarrow DE=5\)
\(BD=2DE\\\Rightarrow BD=2\times 5\\\Rightarrow BD=10\)
\(EC=2y-3\\\Rightarrow EC=2\times 3-3\\\Rightarrow EC=3\)
\(AC=2EC\\\Rightarrow AC=2\times 3\\\Rightarrow AC=6\)
The sum of the diagonals is \(BD+AC=10+6=16\ \text{miles}\)
The sum of the lengths of the two trails is \(16\ \text{miles}\).
Answer:
16 Miles
Step-by-step explanation:
Just took the quiz and got it right
A system of equations is given. Equation 1: 4x + 3y = 20 equation 2: 3x + 2y = 12 explain how to eliminate x in the system of equations.
The system of equations are solved and the value of x and y are -4 and 12 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
4x + 3y = 20 be equation (1)
3x + 2y = 12 be equation (2)
Multiply equation (1) by 3 and equation (2) by 4 , we get
12x + 9y = 60 be equation (3)
12x + 8y = 48 be equation (4)
Subtracting equation (4) from equation (3) , we get
y = 12
Substituting the value of y in equation (2) , we get
3x + 2 ( 12 ) = 12
Subtracting 24 on both sides , we get
3x = -12
Divide by 3 on both sides , we get
x = -4
Hence , the system of equations are solved
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A barn is 40 feet wide by 100 feet long. Make a scale drawing of the barn that has a scale of 1/2 inch = 10 feet
As per the given measurement, the scale drawing of the barn is attached below.
The term scale drawing is defined as a real object with accurate sizes reduced or enlarged by a certain amount.
Here we have given that a barn is 40 feet wide by 100 feet long.
Here we have given in the question that if you draw a line that is 1/2 an inch on paper its proportional to 10 feet long on the house.
Which means that 1 inch would be 20, then 1.5 would be 30 feet, and then 2 inches would be 40.
Here we have given the proportion would be written as,
=> 2 in: 40 ft
As we know that if we make the ratios equal, then we have,
=> 1/20 = x/40
When we simplify this then we get the value of x as 2
Similarly, for the another one,
=> 1/20 = x/100
Now, we have to multiply both sides by 100:
=> 100/20 = x
Therefore, the value of x is 5.
Hence the scale drawing of the house would be 2 inches wide and 5 inches long.
And the drawing is attached below.
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If, in a (two-tail) hypothesis test, the p-value is 0.0308, what is your statistical decision if you test the null hypothesis at the 0.08 level of significance? choose the correct answer below? Since the p-value is less than alpha, do not reject H_0. Since the p-value is greater than alpha, do not reject H_0. Since the p-value is less than alpha, reject H_0. Since the p-value is greater than alpha, reject H_0.
When the p-value is less than alpha, reject H_0.
What is a two-tailed hypothesis test?When you conduct a two-tailed hypothesis test, you check if the sample falls outside of the two critical regions. You make use of a two-tailed test if you are required to check both sides of the data.
For example, in a two-tailed hypothesis test, suppose the null hypothesis is that a coin is fair. This means that you expect the coin to be heads half of the time and tails half of the time.
The alternative hypothesis is that the coin is biased. This means that it will be heads more than half of the time or tails more than half of the time.If you get a p-value that is less than your alpha, you can reject the null hypothesis.
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Find the area of the largest rectangle that can be inscribed in a semi-circle of radius 4.
Answer: 50.24
Step-by-step explanation: 4x4x3.14 / radius x radius x pi/ 3.14