The volume of the given cylinder is 2543 cubic yards.
For the given cylinder,
Height of the cylinder = 10 yard
Radius of cylinder = 9 yard yard
Then we have to calculate the volume of this cylinder.
Since we know that,
Volume of the cylinder = πr²h
Where,
r represents radius of cylinder = 9 yard
h represents height of cylinder = 10 yard
Noe therefore,
Volume of the cylinder = π(9)²(10)
= 3.14x 81 x 10
= 2543 cubic yards
Thus,
⇒ Volume = 2543 cubic yards.
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If $15.20 is divided among Andrew, Joseph, and Sam so that Joseph has one dollar more than Andrew and Sam has $2.70 more than Joseph, how much money does Andrew have?
The required money that Andrew will have is $3.5 as of the given condition.
Given that,
$15.20 is divided among Andrew, Joseph, and Sam so that Joseph has one dollar more than Andrew and Sam has $2.70 more than Joseph.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the money has to be x,
joseph has = x + 1
Sam has = 2.70 + 1 + x = 3.70 + x
According to the question,
15.20 = x + x + 1 + x + 3.70
15.20 = 3x + 4.70
3x =
x = 10.5/3
x = 3.5
Thus, the required money that Andrew will have is $3.5 as of the given condition.
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I'm needing help with setting up these equations
The sides show that we have an equilateral triangle
What is the measure of each of the sides?An equilateral triangle is a triangle in which all three sides are of equal length. Since all three sides are equal, all three angles are also equal and measure 60 degrees each.
We know that;
12x - 22 = 10x - 6
Collect like terms;
12x - 10x = -6 + 22
2x = 16
x = 8
Thus the sides of the triangle are;
12(8) - 22 = 74
10(8) - 6 = 74
7(8) + 18 = 74
In the second triangle;
4x - 25 = x + 14
4x - x= 14 + 25
3x = 39
x = 13
Thus the sides are;
4(13) - 25 = 27
13 + 14 = 27
6(13) - 51 = 27
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What are the important variables in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. p for points, m for multiple choice
OB. s for short answer, t for test
OC. m for multiple choice, s for short answer
OD. t for test, q for questions
The important variables are the two types of test questions which can be represented as :
m for multiple choice, s for short answerVariables are used to represent unknown values which could be worked out in a mathematical expression or problem.
The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer
Therefore, the correct option is C. m for multiple choice, s for short answer
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Day two of catching up on all my math work.
Can anybody help me out with this algebra question involving relations?
Answer:
Answer C is correct
Step-by-step explanation:
16 = 16 / 1
8 = 16 / 2
4 = 16 / 4
Determine whether the series is convergent or
divergent. If it is convergent, find its sum.
Answer:
convergent
Step-by-step explanation:
Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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Sean invests $10,000 at an annual rate of 5% compounded continuously, according to the
formula A= Pe, where A is the amount, P is the principal, e = 2.718, r is the rate of interest, and
tis time, in years.
Determine, to the nearest dollar, the amount of money Sean will have after 2 years.
Answer: $
Determine how many years, to the nearest year, it will take for Sean's initial investment to
double.
Answer:
years
Answer:
if you have a pic of question send it plz then will give answer
Step-by-step explanation:
(Diversifying Portfolios MC)
Two investment portfolios are shown with the amount of money placed in each investment and the ROR.
Investment
Tech Company Stock $2,800
Government Bond $3,200
Junk Bond
$950
Common Stock
$1,500
Portfolio 1 Portfolio 2
$1,275
$2,200
$865
$1,700
O Portfolio 2 earns $38.17 more.
Which portfolio earns the most, and by how much?
O Portfolio 1 earns $38.17 more.
O Portfolio 1 earns $76.20 more.
ROR
-3.75%
2.95%
4.56%
O Portfolio 2 earns $76.20 more..
7.18%
Answer: Portfolio 1:
Tech Company Stock: $2,800 * 2.95% = $82.60
Government Bond: $3,200 * 4.56% = $145.92
Total return for Portfolio 1 = $82.60 + $145.92 = $228.52
Portfolio 2:
Junk Bond: $950 * (-3.75%) = -$35.63
Common Stock: $1,500 * 7.18% = $107.70
Total return for Portfolio 2 = -$35.63 + $107.70 = $72.07
From the calculations, we can see that Portfolio 1 earns $228.52 in returns, while Portfolio 2 earns $72.07. Therefore, Portfolio 1 earns $228.52 - $72.07 = $156.45 more than Portfolio 2.
Step-by-step explanation:
Consider the following equation:
cos x = x^3
Use your calculator to find an interval of length 0.01 that contains a root. (Enter your answer using interval notation.)
If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]
The given equation is
cos x = x^3
Move the term x^3 to the left hand side of the equation
cos x - x^3 = 0
Therefore the equation will be
f(x) = cos x - x^3
Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem
Plot the function in the graph
From the graph, we can see that the value of
x = 0.865
The interval of length = 0.01
Then the intervals will be 0.86 and 0.87
Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]
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Hi i need help with this
We can conclude that the figure is a square as all 4 sides are equal with all angles being 90°.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.
It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral.
The square's angles are at a straight angle or 90 degrees. Additionally, the diagonals of the square are equal and intersect each other at 90 degrees.
Therefore, we can conclude that the figure is a square as all 4 sides are equal with all angles being 90°.
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If n is a positive odd number, then (-72.4)n is
Step-by-step explanation:
If n n n is odd, then ( − 72.4 ) n (-72.4)^n (−72.4)n will be negative since the product of an odd number of negatives gives a negative value. Therefore ( − 72.4 ) n (-72.4)^n (−72.4)n is a negative number with an absolute value greater than 1
Simplify: 9x + 2(x - 3) - 2x + 10
Answer: 9x+4
Step-by-step explanation: We take out the parentheses by multiplying both values by 2 (2 times x and 2 times 3) to get 2x-6. Now our equation is 9x+2x-6-2x+10. We can see that there is a +2x and a -2x so we just take both of them out as they cancel out each other. Now our equation is 9x -6+10. we add 10 to -6 to get +4. The result is 9x+4.
Answer:
9x + 4
Step-by-step explanation:
9x + 2x - 6 - 2x + 10
Rearranging,
=> 9x + 2x - 2x + 10 - 6
=> 9x + 4
If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency. TRUE or FALSE​
Answer:
True
Step-by-step explanation:
This is true by definition.
Divide 20 pens between Sheela and Sangeeta in ratio of 3: 2.
Answer:
sheela has 12
sangeeta has 8
Step-by-step explanation:
3 add 2 is 5
20 divide by 5 is 4
4 times 3 is 12
4 times 2 is 8
Answer:
Sheila will get 12pens nd Sangeetha will get 8pens
Step-by-step explanation:
so since ration is3:2 we take thm as 3x nd 2 x
add em to get 5x
so 5x=20
x=20/5 (we transposed 5)
x=4
so 3x=3*4=12
2x=2*4=12!
Hope this helped!
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is the one on the first option.
S= {1, 2, 3, 4, 5, 6, 7}
What is the sample space?
For any experiments with some given outputs, the sample space is the set of the possible outputs.
For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}
Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:
S= {1, 2, 3, 4, 5, 6, 7}
So the correct optionis the first one.
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Answer:
The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
that's it simple
Last year the profit for a company was $327,000. This year's profit decreased by 3.7%. Find this year's profit.
$12,099
$206,010
$120,990
$314,901
Answer: $314,901
Step-by-step explanation: 3.7% of $327,000 is $314,904
Natalie made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muffins. Natalie sold each muffin for $0.50 more than it cost her to make.
What is the total amount of money that Natalie received from selling her muffins?
Answer:
26.25
Step-by-step explanation:
she sold 35 muffins
Answer:
$26.25
Step-by-step explanation:
I took the test
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
√3ab
rewrite the equation in radical form
Answer:
√3√ab
Step-by-step explanation:
Please look in the attachment! Hope this helps! :D
Maria's wages are $2400 plus 3.5% commission on monthly sales. A. Write a function expressing the relationship between Maria's wages, w , and her monthly sALes x
Answer: x(0.035)+w
Step-by-step explanation:
to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
-5 = t + 6 1/3 solve for t
Answer: t=-34/3 or -11 1/3
Step-by-step explanation:
isolate t
t+19/3=-5
subtract both sides with 19/3
t=-34/3 or -11 1/3
Answer:
-34/3
Step-by-step explanation:
-5=t+6 1/3
6 1/3= 19/3
-5=t+19/3
-t. -t
-5-t=19/3
+5. +5
-t=34/3
/-1. /-1
t= - 34/3
Solve for X and find the measure of angle A:
Answer: well the answer is a
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
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I don’t understand this one here I need help
The inverse function of f(x) is given as follows:
\(f^{-1}(x) = \sqrt{x}\)
How to obtain the inverse function?The function f(x) graphed in this problem is given as follows:
f(x) = x².
Using the notation y = f(x), we have that:
y = x².
To obtain the inverse, first we exchange y and x, hence:
x = y².
Finally, we must isolate the variable y, hence:
\(y = \pm \sqrt{x}\)
\(y = \sqrt{x}\) -> we take only the positive and the domain is the non-negative numbers.
Hence the inverse function is:
\(f^{-1}(x) = \sqrt{x}\)
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What is the y-intercept for this line?
Y = 2/3 x + 3
A. 2
B. 2/3
C. 3
Answer:
y intercept when x is 0, so the answer is 3
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases.
Slopes are equal; therefore, segments are parallel
The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases
How to prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases?From the figure, we have the following coordinates
B = (a, 0)
D = (d, c)
The midpoint of line segment BD is calculated as
BD = 1/2 * (x1 + x2, y1 + y2)
So, we have
BD = 1/2 * (a + d, 0 + c)
This gives
BD = ((a + d)/2, c/2)
Also, we have:
Lines MN and AB are horizontal lines
This means that they have a slope of 0
i.e.
Slope of AB = Slope of MN = 0
Parallel lines have equal slope
Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases
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Mathematics
Find the rate
What percent of 200 is 50?
What percent of 50 is 40?
What percent of 10 is 6?
200 is what percent of 200?
What percent of 800 is 200?
Show your solution, HELP PLS ASAP!!!
I'LL GIVE 20 POINTS!!
Answer:
Step-by-step explanation:
25%
80%
60%
100%
25%
what is 3(2x + 1) written as in distributive property
Answer:
what this basicaly means is that we have to multiply 3 by every thing inside the parethese
3*2x=6x
3*1=3
6x+3
Hope This Helps!!!
Answer:
6x + 3
Step-by-step explanation:
Like regular distributive property, a(bx+c), we will multiply them together. Using the previous example, we know that it will turn into abx + ac. Now, lets substitute a to 3, b to 2, c to 1. Now, we can get 6x +1. I really like brainliest.
An international company has 27,300 employees in one country. If this represents 28.4% of the company's employees, how many employees does it have intotal?Round your answer to the nearest whole number.
We have the following information:
• An international company has 27,300 employees in one country, this represents 28.4% of the company's employees.
We need to determine the total number of employees of the international company.
To solve this exercise, we can follow the next steps:
1. Let x be the total number of employees of the international company. Then we have:
\(\begin{gathered} 28.4\%x=27300 \\ \\ \text{ Then we have:} \\ \\ \frac{28.4}{100}x=27300 \\ \end{gathered}\)2. And now, to solve for x, we can multiply both sides by the reciprocal of 28.4/100 as follows:
\(\begin{gathered} \frac{100}{28.4}*\frac{28.4}{100}x=\frac{100}{28.4}(\$27300) \\ \\ x=96126.7605634\approx96127\text{ \lparen rounded to the nearest whole number\rparen} \end{gathered}\)Therefore, in summary, the company has, in total, 96,127 employees.