The volume of the figure is approximately 1591.63 cm³.
We have,
To find the volume of the figure with a semicircle on top of a cone, we can break it down into two parts: the volume of the cone and the volume of the semicircle.
The volume of the Cone:
The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Given that the diameter of the cone is 14 cm, the radius (r) is half of the diameter, which is 7 cm.
The height (h) of the cone is 17 cm.
Plugging the values into the formula, we have:
V_cone = (1/3)π(7 cm)²(17 cm)
V_cone = (1/3)π(49 cm²)(17 cm)
V_cone = (1/3)π(833 cm³)
V_cone ≈ 872.67 cm³ (rounded to two decimal places)
The volume of the Semicircle:
The formula for the volume of a sphere is V = (2/3)πr³, where r is the radius of the sphere. In this case, since we have a semicircle, the radius is half of the diameter of the base.
Given that the diameter of the cone is 14 cm, the radius (r) of the semicircle is half of that, which is 7 cm.
Plugging the value into the formula, we have:
V_semicircle = (2/3)π(7 cm)³
V_semicircle = (2/3)π(343 cm³)
V_semicircle ≈ 718.96 cm³ (rounded to two decimal places)
Total Volume:
To find the total volume, we add the volume of the cone and the volume of the semicircle:
V_total = V_cone + V_semicircle
V_total ≈ 872.67 cm³ + 718.96 cm³
V_total ≈ 1591.63 cm³ (rounded to two decimal places)
Therefore,
The volume of the figure is approximately 1591.63 cm³.
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question one, true or false?
Answer:
I think its True but im not sure
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
the value of Q3 is 15
Simplify 16 + 5.6 + 0.681
Answer:
16+5.6..to solve it yiu will have to put it like this...
16.0+5.6=21.6.
21.6+0.681=22.281.
On simplifying we get the answer as 22.281
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here, the expression is 16 + 5.6 + 0.681 =22.281
Hence, on simplifying we get the answer as 22.281
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sec(pi/2 -x) =csc x true or false
Answer:
true
Step-by-step explanation:
if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:
\(sec\left(\frac{\pi }{2}\:-x\right)\) \(=\frac{1}{\sin \left(x\right)}\)
\(\frac{1}{\sin \left(x\right)}\) \(=\csc \left(x\right)\)
so, yes, \(sec\left(\frac{\pi }{2}\:-x\right)\) \(=\csc \left(x\right)\)
hope this helps!!
PLEASE ANSWER ILL GIVE YOU 50 POINTS AND MARK AS BRAINLEST
Explain what’s Meaning of coordinate plane in your own words
Pls pls pls help me I’m giving brainlest
Answer: i think a
Step-by-step explanation:
What is half of 1 ⅔ cups
Answer:
0.833
Step-by-step explanation:
Because 1 and 2/3=1.666
0.833 x 2=1.666 so that's how it's your answer
Have a great day :}
- Find mZT in the diagram, if mZR = 120° and mZS = 50°.
Answer:
360 - 50 -50 - 120 = 140 degrees
The summation of the following function is : 50T(n) = Σ (4+3i) i=1a. 14025 b. 3825 c. 4025 d. 1550
The summation of the given function is 3825. Option B is correct.
The summation of the given function is:
50T(n) = Σ (4+3i), i=1
The summation of any arithmetic series is given by the formula
Sn = n/2[2a + (n-1)d]
where a = first term of the series, n = number of terms and d = common difference.
Here, a = 4, n = 50 and d = 3
Sn = 50/2[2(4) + (50-1)(3)]
Sn = 50/2[8 + 147]
Sn = 50/2(155)
Sn = 3825
Therefore, the summation of the given function is 3825.
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what is the exact solution for 75(1/5)^(x/5)=3
Answer:
\(\large \boxed{x = 10}\)
Step-by-step explanation:
\(\begin{array}{rcll}75\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & 3& \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{3}{75}&\text{Divided each side by 75} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = & \dfrac{1}{25}&\text{Simplified} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &25^{-1}&\text{Applied exponent rule} \\\\\left (\dfrac{1}{5}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Converted 25 to base 5} \\\\\end{array}\)
\(\begin{array}{rcll}\left (5^{-1}\right )^{\dfrac{x}{5}} & = &\left (5^{2} \right )^{-1}&\text{Applied exponent rule} \\\\5^{-\dfrac{x}{5}} & = &5^{-2}&\text{Multiplied exponents} \\\\-\dfrac{x}{5} & = &-2 & \text{Equated exponents}\\\\x & = & \mathbf{10} & \text{Multiplied each side by -2}\\\end{array}\\\text{The exact solution is $\large \boxed{\mathbf{x = 10}}$}\)
helppp mee look at the picture
Answer:
x=20
Step-by-step explanation:
bc 25 divided by 10 is 2.5 so you just multiply 8 by 2.5
Answer: X= 20
If solving for x
Step-by-step explanation:
x/25= 8/10
1= reduce the fraction to x/25= 4/5
2= cross multiply 5x=100
3= divide both sides X=20
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3. Найди сумму длин рёбер прямоугольного параллелепипеда, если его грани: два квадрата с длинами сторон 50 см и четыре прямоугольника с длинами сторон 65 см и 50 см.
what is the surface area of the triangular prism? 15ft 9ft 24ft 40ft 15ft PLEASE BE FAST ILL GIVE BRAINLIESTTT TODAYS MY LAST DAY AG SCHOOL TO AHH
Answer:
B. 2376 Square feet
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the value of a car decreases by 20 percent each year. Mr. sing purchases a 22,000 automobile. What is the value of the car at the end of the second year?
Answer:
Step-by-step explanation:
13,200
Answer:
Step-by-step explanation:
17600
Solve the equation for x
16x - 10x + 9 = 99 - 30
\(16x - 10x + 9 = 99 - 30\\\\\implies 6x +9 = 69\\\\\implies 6x = 69 -9\\\\\implies 6x = 60\\\\\implies x = \dfrac{60}6\\\\\implies x = 10\)
Answer:
See the above attachment...
Step-by-step explanation:
Hopes that it will help u...
? x 26= 17 7/8.
By: Britney
Which number is a reasonable estimate for the difference of the equation 3,412 − 1,287 = ________?
Answer:
2,125
Step-by-step explanation:
Answer:
2,125
Step-by-step explanation:
bc its ez
3/4(x+21)=10 1/2
x=?
Answer: X will be -20 + 3/20f
The value of x is -7 if the equation is 3/4(x+21)=10 1/2 which is a linear equation in one variable.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
3/4(x+21) = 10 1/2
The equation can be written as:
3/4(x+21) = 21/2
Cross multiplication:
6(x + 21) = 84
x + 21 = 84/6
x + 21 = 14
x = 14 - 21
x = -7
Thus, the value of x is -7 if the equation is 3/4(x+21)=10 1/2 which is a linear equation in one variable.
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i need help please answer for me ... Logan drove from New Orleans to Nashville to visit friends. Logan drove the speed limit which was 60 miles/hour. If Logan's driving time for the trip was 9 hours, how many miles did Logan drive?
12 questions on a test how much % is each worth?
brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. she has a yellow top, a pink top, and a green top. she wants to wear a skirt and a top. what are all the possible outcomes? how many possible outcomes are in the sample space?
There are a total of 12 possible outcomes in the sample space.
The possible outcomes of Brittany wearing a skirt and a top can be determined by considering all the combinations of skirts and tops.
Skirts: Black, Violet, White, Red
Tops: Yellow, Pink, Green
The possible outcomes are as follows:
Black skirt and yellow top
Black skirt and pink top
Black skirt and green top
Violet skirt and yellow top
Violet skirt and pink top
Violet skirt and green top
White skirt and yellow top
White skirt and pink top
White skirt and green top
Red skirt and yellow top
Red skirt and pink top
Red skirt and green top
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In the library of a small town, the mean cost of new books is the same as the median cost of new books. The distribution of book costs is:
If the mean cost of new books is the same as the median cost of new books in a small town library, the distribution of book costs is most likely normal with a symmetrical peak at the center.
In the library of a small town, the mean cost of new books is the same as the median cost of new books. The distribution of book costs is likely symmetrical with a single peak at the center, as in the normal distribution. In other words, the distribution of book costs is most likely to be normal when the median cost and the mean cost are the same. Therefore, if the mean cost of new books in the library of a small town is the same as the median cost of new books, it suggests that the distribution of book costs is normal. A normal distribution is one in which the median, mode, and mean are equal, as well as symmetrical. The median is the middle value in a sorted data set, whereas the mean is the average of all the data in the set. In conclusion, if the mean cost of new books is the same as the median cost of new books in a small town library, the distribution of book costs is most likely normal with a symmetrical peak at the center.
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Question 8 An experimenter flips a coin 100 times and gets 55 heads. Find the 98% confidence interval for the probability of flipping a head with this coin. a) [0.434, 0.466] b) [0.484, 0.489] c) [0.434, 0.666] d) [0.354, 0.666] e) [0.334, 0.616] f) None of the above
We are 98% confident that the true probability of flipping a head is between 0.434 and 0.466. (option a).
One way to estimate the probability of getting heads is to calculate the sample proportion, which is the number of heads divided by the total number of flips. In this case, the sample proportion is 55/100 = 0.55.
In this case, we are asked to find the 98% confidence interval for the probability of flipping a head. To do this, we can use a formula that takes into account the sample size, sample proportion, and level of confidence. This formula is:
sample proportion ± z* standard error
where z is the critical value from the standard normal distribution for the desired level of confidence (98% in this case), and the standard error is a measure of the variability in the sample proportion.
Using this formula, we can calculate the confidence interval for the given data.
The correct answer is (a) [0.434, 0.466].
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Suppose you are offered an investment that will pay you $800 a month for 40 years. If your required return is 6% per year, compounded monthly, what would you be willing to pay for this investment?
If you have a required return of 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, you would be willing to pay approximately $206,595.71 for this investment.
To determine the value you would be willing to pay for this investment, we can use the concept of present value. The present value of an investment is the current worth of the future cash flows it will generate. In this case, the investment will pay you $800 a month for 40 years.
To calculate the present value, we can use the formula:
\(PV = CF / (1 + r)^n\)
Where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods.
In this case, the cash flow is $800 per month, the required return is 6% per year (or 0.06/12 = 0.005 per month), and the number of periods is 40 years * 12 months = 480 months.
Plugging these values into the formula, we have:
PV = $800 / \((1 + 0.005)^(480)\)
Calculating this expression, we find that the present value is approximately $206,595.71. Therefore, you would be willing to pay approximately $206,595.71 for this investment to achieve your required return of 6% per year, compounded monthly.
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Which of these statements concerning the systems development life cycle is true?A) Designing the system is the first step in the SDLC.B) No phase can occur until the previous phase is completed.C) Although each phase is presented discretely, it is never accomplished as a separate step.D) There is widespread agreement that the SDLC is composed of seven phases.
The Systems Development Life Cycle (SDLC) is a process used in the development of software and information systems. It provides a framework for managing the entire software development process, from initial planning and requirements gathering through to implementation, testing, and maintenance. There are typically several phases involved in the SDLC, each with its own unique set of activities. The correct statement is "No phase can occur until the previous phase is completed."
Of the statements provided, the true statement concerning the systems development life cycle is that "No phase can occur until the previous phase is completed." This is because each phase of the SDLC builds on the previous phase, and it is necessary to complete each phase before moving on to the next one.
For example, in the first phase of the SDLC, requirements gathering and analysis, the project team works with stakeholders to identify the project scope, goals, and objectives. Once this phase is completed, the project team can move on to the next phase of the SDLC, which is typically design. In the design phase, the team uses the requirements identified in the previous phase to create a detailed design for the system. Once the design phase is complete, the team can move on to the next phase, which is typically development.
It is important to note that although each phase of the SDLC is presented discretely, they are never accomplished as separate steps. Rather, each phase is a part of a continuous process that is revisited and refined as necessary throughout the development cycle. Furthermore, while there is no consensus on the exact number of phases in the SDLC, there is widespread agreement that the process consists of several distinct phases, each with its own set of activities and deliverables.
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What angle in degrees has a sine of approximately 0.5736???
Answer:
35º
Step-by-step explanation:
90-55 = 35º
the mean of the data set {9, 5, y, 2, x } is twice the data set {8, x, 4, 1, 3}. What is (y-x)^2?
Answer:
256
Step-by-step explanation:
To calculate the mean, we simply divide the sum of the values by the count.
For the first set, the mean is as follows;
(9 + 5 + 2 + y + x)/5 = (x + y + 16)/5
For the second set;
(8 + x + 4 + 1 + 3)/5 = (16 + x)/5
Since both are divided by 5, we can eliminate it
Mean of first set is twice the second
This means that;
x + y + 16 = 2(16 + x)
x + y + 16 = 32 + 2x
y = 32-16+2x-x
y = 16 + x
Now we want to calculate
(y-x)^2
substitute the value of y here
(16+x-x)^2
= 16^2 = 256
The triangle is not necessarily drawn to scale, and the angles can vary. Create a compound inequality for the side length x using the Triangle Inequality.
A. 2 < x < 12
B. 5 < x < 7
C. 5 < x < 12
D. 2 < x < 7
Answer:
A
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
7 - 5 < x < 7 + 5
2 < x < 12
Philippe is 13 years old and his father is 4 times older. In how many years will the father's age be twice the age of his son?
13×4=52
Ok Multiplacation is a simple Math formula everyone can do so you have to do this:
13+13+13+13=52
Now do this:
13×4=52
Answer is 52
Given that the long-term DPMO = 25137, what are the short-and long-term Z-values (process sigmas)?
A. LT = 1.96 and ST = 3.46
B. LT = 3.46 and ST = 1.96
C. LT = 4.5 and ST = 6.00
D. None of the above
The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,
so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.
The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.
However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.
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Central Market sells 5 jars of jam for $3.00. Valley Market sells jars of jam at 59 cents per jar. Yasmin bought 10 jars from Central Market, and Nadia bought 10 jars from Valley Market.
Answer:
Yasmin will spend $6
Nadia will spend $5.9
Step-by-step explanation:
Step one:
the cost of 5 jars at Central market is $3
the cost of 1 jar = 3/5= $0.6
60 cents per jar
we are told that Valley Market sells jars of jam at 59 cents per jar.
$0.59
Step two:
If Yasmin buys 10 jars from Central Market,
Yasmin will spend = 10*0.6= $6
If Nadia buys 10 jars from Valley Market.
Nadia will spend = 10*0.59= $5.9
The market difference is 6-5.9= $0.1