The height of the cone is 24 centimetres.
How to find the height of the cone?A cone has a volume of 392π cubic centimetres and a radius of 7 centimetres. Therefore, the height of the cone can be found as follows;
Hence,
volume of a cone = 1 / 3 πr²h
where
h -= height of the coner = radius of the coneTherefore,
volume = 392π
r = 7 cm
392π = 1 / 3 × π × 7² × h
392π = 49 / 3 πh
cross multiply
1176π = 49πh
divide both sides by 49π
h = 1176π / 49π
h = 24 cm
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Evaluate the following algebraic expression
Answer:
Step-by-step explanation:
13-5=8
8*8=64
Answer:
(13−5)2
=8*8
=64
Step-by-step explanation:
There are 24 classrooms and 600 students. What is the ratio of classrooms to students written in fraction simplest form?
Answer:
1 : 25.
Step-by-step explanation:
24 : 600
= 24/24 : 600/24
= 1 : 25.
witch of the following statements is true
Answer:
B
Step-by-step explanation:
Consider a vector field F
(x,y,z) whose components have continuous partial derivatives on the given surfaces. Let S 1
be the upward oriented upper-hemisphere x 2
+y 2
+z 2
=1,z≥0 and S 2
be the upward oriented disk x 2
+y 2
≤1,z=0 Is the following True or False? Is the following True or False? Vrai Faux
The statement is FALSE.
∫∫_{S₁} curl F · ds ≠ ∫∫_{S₂} curl F · ds
To determine whether the statement is true or false, we need to analyze the two surface integrals individually and compare them.
Let's begin with the surface integral over S₁, the upward oriented upper-hemisphere x² + y² + z² = 1, where z ≥ 0. We'll denote this surface integral as ∫∫_{S₁} curl F · ds.
The outward unit normal vector on S₁ is given by n₁ = (x, y, z)/√(x² + y² + z²). We can parameterize S₁ using spherical coordinates as follows:
x = sinθ cosφ
y = sinθ sinφ
z = cosθ
where 0 ≤ θ ≤ π/2 and 0 ≤ φ ≤ 2π.
The surface element ds on S₁ can be expressed as ds = (r sinθ) dθ dφ, where r is the radius of the sphere.
The curl of F can be written as curl F = (∂F₃/∂y - ∂F₂/∂z, ∂F₁/∂z - ∂F₃/∂x, ∂F₂/∂x - ∂F₁/∂y).
Now, let's calculate the surface integral ∫∫_{S₁} curl F · ds:
∫∫_{S₁} curl F · ds = ∫∫_{S₁} (∂F₃/∂y - ∂F₂/∂z, ∂F₁/∂z - ∂F₃/∂x, ∂F₂/∂x - ∂F₁/∂y) · (r sinθ) dθ dφ
= ∫∫_{S₁} [(∂F₃/∂y - ∂F₂/∂z)(r sinθ) + (∂F₁/∂z - ∂F₃/∂x)(r sinθ) + (∂F₂/∂x - ∂F₁/∂y)(r sinθ)] dθ dφ
Next, let's consider the surface integral over S₂, the upward oriented disk x² + y² ≤ 1, z = 0. We'll denote this surface integral as ∫∫_{S₂} curl F · ds.
The outward unit normal vector on S₂ is given by n₂ = (0, 0, 1).
The surface element ds on S₂ can be expressed as ds = dx dy.
Now, let's calculate the surface integral ∫∫_{S₂} curl F · ds:
∫∫_{S₂} curl F · ds = ∫∫_{S₂} (∂F₃/∂y - ∂F₂/∂z, ∂F₁/∂z - ∂F₃/∂x, ∂F₂/∂x - ∂F₁/∂y) · (0, 0, 1) dx dy
= ∫∫_{S₂} (∂F₂/∂x - ∂F₁/∂y) dx dy
Comparing the expressions for the two surface integrals, we can see that they are different.
The integrals involve different components of the curl of F and have different surface element terms.
Therefore, the statement is FALSE.
∫∫_{S₁} curl F · ds ≠ ∫∫_{S₂} curl F · ds
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You are employed as the office manager at Clover Point Pediatrics. Your job requires you to take on many responsibilities. One of these is to arrange for the annual clinic party. This year, you have been given permission to rent a banquet room at a local hotel, hire a caterer, and hire a disc jockey for entertainment. There are 23 employees and each will be bringing one guest (46 total). Beer and wine will be served at a cost of $12.00 per person. What will be the total cost for beverages?
Using proportions, it is found that the total cost for beverages will be of $552.00.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, there will be a total of 46 people, and each will spend $12.00 on beer and wine, hence:
46 x $12.00 = $552.00.
The total cost for beverages will be of $552.00.
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Please could I have some help? Seven squared equals seven times .........
Answer:
\(\large \boxed{\mathrm{seven }}\)
Step-by-step explanation:
\(7^2\)
A number squared also means that the number is multiplied by itself twice.
\(7^2 =7 \times 7\)
A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).
What kind of polynomial is described by the equation?
A.quadratic
B.constant
C.cubic
D.quintic
I need an answer right now thank you.
The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
The standard form of a polynomial expression is written as:
\(a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...\)
A polynomial function has a leading degree that is greater than 2;
Given the polynomial function
\(P(x)=4x^3-31x^3-10058x+158040\)
From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
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Sarah took a survey asking students if they prefer summer or winter sports. She found that 12 out of 18 students prefer summer sports. Determine what fraction of students prefers winter sports. Write your response in simplest form. Explain how you found your answer.
Answer: 2/3
Step-by-step explanation:
12 out of 18 prefer summer sports so as a fraction it would be 12/18 = 6/9 = 2/3
Answer:
33.3333%
Step-by-step explanation:
EXPLANATION
Based on the given conditions, formulate: (18-12) ÷ 18
Calculate the sum or difference:\(\frac{6}{18}\)
Cross out the common factor:\(\frac{1}{3}\)
Rewrite a fraction as a decimal: 0.333333
Multiply a number to both the numerator and the denominator: 0.333333x\(\frac{100}{100}\)
Write as a single fraction:\(\frac{33.33333x100}{100}\)
Calculate the product or quotient:\(\frac{33.333}{100}\)
Rewrite a fraction with denominator equals 100 to a percentage: 33.3333%
Answer: 33.3333%
Use polar coordinates to find the volume of the given solid.
Below the paraboloid z = 18 − 2x² − 2y² and above the xy-plane
V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]
Simplifying this expression will give us the final volume of the solid.
, we need to evaluate the triple integral:
V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ
Integrating with respect to z first, we have:
V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ
Integrating the volume with respect to r, we get:
V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ
Simplifying the expression inside the brackets and evaluating the integral, we have:
V = ∫₀²π (9r² - 2/3r⁴) dθ
V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀
V = π [(3r³/1) - (2r⁵/15)]ᵣ₀
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A scuba diver is swimming -2.5 feet per minute. How many minutes did it take the scuba diver to reach the depth of 11 1/4 feet
Let me = the minutes we are searching for.
(-2.5)/11_1/4 = 1/m
Rewrite 11_1/4 as 45/4.
(-2 5)/(45/4) = 1/m
Cross-multiply to find m.
45/4 = -2.5m
Divide both sides by -2.5.
45/4 ÷ -2.5 = m
Use your calculator and good luck.
Twice Jack's age plus 5 is 21. Write and solve an equation. How old is Jack? Responses A32 B88 C52 D13
Is 12 a integer and is 55.3 a integer and is 18 over 2 a integer and is -260.43 a integer and is 12 over 17 a integer ?
Answer:
yes
no
yes
no
no
Step-by-step explanation:
An integer is a positive or negative whole number or zero.
Examples of integers:
-1000, 993, 12, -19, 1000000, -79, 0, 1, 221
Examples of numbers that are not integers:
-5/4, -223.25, 1000.1, 45.2, 1000000.45, 32/7
Is 12 a integer yes
and is 55.3 a integer no
and is 18 over 2 a integer = 9, so yes
and is -260.43 a integer no
and is 12 over 17 a integer =0.70588..., so no
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹ 50 per metre and trousers material that costs him ₹ 90 per metre. For every 3 metres of the shirt material, he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹ 36,660. How much trouser material did he buy?
Answer:
200.33 mStep-by-step explanation:
Let the amount of shirt material is s and trouser material is t.
We have equations based on given details:
s/t = 3/2s*50*(1 + 0.12) + t*90*(1 + 0.1) = 36660Simplify and solve for t by substitution:
s = 3/2t56s + 99t = 3666056*3/2t + 99t = 3666084t + 99t = 36660183t = 36660t = 36660/183t = 200.33 mwhich of the following is the basic unit of volume in the metric system?
a. meter
b. liter
c. kilogram
d. gram
Answer:
liter
Step-by-step explanation:
The basic unit of volume in the metric system is a liter.
because we measure volume (v) in liters.
Therefore, the answer is liter
Info related to the question : −
Kilograms are the basic unit of massGrams are also units of massMeters are used for measuring distanceVolume is measured in cubic meterson a multiple choice test each question has 4 answer choices. Matt doesn't know the correct answer to question #4. what is the probability he will guess the correct answer?
Answer:
0.25 or 25%-------------------------
It is assumed one of the answer choices is correct.
Since there are 4 answer choices for question #4 and Matt is guessing, the probability that he will guess the correct answer is 1 out of 4 or 1/4, which is equal to 0.25 or 25%.
are they functions? if not why?
Answer:
1 is yes, 2 is no because 1 and 3 repeat, which means that 2 Y-Values would get the x-value of 1 and 3, and x cannot have 2 different values.
Step-by-step explanation:
What are the factors of the terms
6a + 1 lb
a=6–1b
a=5 ans
b=a/1
b=5/1
b=5ans
If Susie takes a test with 50
questions and gets of them
5
correct, how many questions did
she miss?
A rectangular prism with a length of 5 inches a width of 4 inches and a height of 3 inches is how many square inches
Answer:
20
Step-by-step explanation:
length x width = area
4 x 5 = 20
(not 100% sure, but I hope this helps)
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x=0
A.
B. 1
C. -2
D. O
E. 2
F. None of these
A family's home is currently worth $1,553,426, which is 70% higher than the home was
worth when they bought it. What was the value of the home when they bought it?
Answer:
The value of home when bought was $913,780.
Step-by-step explanation:
Given that:
Current worth of the house = $1,553,426
This is 70% more than the original worth of the house.
Let,
100 be the original percent and x be the original worth
Percent increase = (100+70)% = 170%
170% of x = $1,553,426
\(\frac{170}{100}x=1553426\)
1.7x = 1553426
Dividing both sides by 1.7
\(\frac{1.7x}{1.7}=\frac{1553426}{1.7}\\x= 913780\)
Hence,
The value of home when bought was $913,780.
Can someone plz explain I would appreciate it
Answer:
Angle of depression
Step-by-step explanation:
what is the solution of the system of equations 2x-3y=-9 -x+3y=6
Answer:
the answer to the question is (6,10)
Step-by-step explanation:
how does the solution change as the hospital's capacity increases? let capacity increase from 200 to 500 in increments of 25.
As the hospital's capacity increases, the solution to healthcare related problems improves significantly.
As the hospital's capacity increases, the solution to various healthcare-related problems changes significantly. In the current healthcare landscape, the demand for hospital beds and related services is ever-increasing. With the growing population, the need for healthcare services has increased significantly. Therefore, it is essential to understand how the solution changes as the hospital's capacity increases.
Firstly, with the increase in the hospital's capacity, the number of available hospital beds increases. This implies that more patients can be admitted, reducing the waiting time and allowing patients to receive timely and necessary care. This increase in capacity also allows for the addition of more specialized services, such as ICU beds, which can cater to critically ill patients.
Secondly, the increase in capacity also allows for the hiring of more healthcare professionals, including doctors, nurses, and administrative staff. This means that there will be more people to attend to the needs of patients, leading to better care and improved outcomes. Furthermore, with more staff, the workload per employee decreases, leading to a better work-life balance and job satisfaction.
Lastly, with an increase in capacity, the hospital can cater to a broader range of medical conditions. This allows for a more comprehensive range of treatments, including advanced surgeries and other medical procedures that may not have been possible with limited capacity.
In conclusion, as the hospital's capacity increases, the solution to healthcare-related problems improves significantly. With an increase in beds, healthcare professionals, and specialized services, patients can receive timely care, better outcomes, and a more comprehensive range of treatments. Therefore, increasing the hospital's capacity is essential to cater to the growing needs of the population and improve the quality of healthcare services.
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What is 2. 314 repeating as a fraction in simplest form
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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Line segment SU is dilated to create S’U’ using dilation rule. What is distance, x, between points U’ and U
Answer:
The distance between points U and U' is given by the formula:
x = k * (UU')
where k is the scale factor of the dilation and UU' is the length of the original line segment SU.
For example, if the scale factor is 2 and the length of the original line segment SU is 10, then the distance between points U and U' would be:
x = 2 * 10 = 20
If the scale factor is 0.5 and the length of the original line segment SU is 20, then the distance between points U and U' would be:
x = 0.5 * 20 = 10
In general, the distance between points U and U' will be equal to the scale factor multiplied by the length of the original line segment SU.
Step-by-step explanation:
37. Is the line through points P(–2, –5) and Q(5, –7) perpendicular to the line through points R(4, 0) and S(2, –7)? Explain.
Because the product between the slopes is -1, we can see that the lines are perpendicular.
Are these two lines perpendicular?Two lines are perpendicular if the product between the slopes is -1, and we know that the slope of a line that passes through (x₁, y₁) and (x₂, y₂) is given by:
a = (y₂ - y₁)/(x₂ - x₁)
The sloipe of the line through points P(–2, –5) and Q(5, –7) is:
a = (-7 + 5)/(5 + 2) = -2/7
The slope of the line through points R(4, 0) and S(2, –7) is:
a' = (-7 - 0)/(2 - 4) = 7/2
The product between these two is:
a*a' = (-2/7)*(7/2) = -1
so the lines are perpendicular.
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Determine the equations of all asymptotes of each function. x² + x a. f(x) = 2x+3 x-4 b. f(x)= 1³-8 c. f(x) = - 2x²-x x+1
The equation of the oblique asymptote is: y = (-2x-2)Also, when the denominator is zero, the function becomes infinite. Thus, we have a vertical asymptote given by x = -1. So, the equations of all asymptotes for the function f(x) = (-2x²-x)/(x+1) are: y = (-2x-2) and x = -1.
The equations of all asymptotes of each function are given below:
a) To find the asymptotes of the given function f(x) = (2x+3)/(x-4), we will start by checking whether the degree of the numerator (which is 1) is less than the degree of the denominator (which is 2) or not. Here, the degree of the numerator is less than the degree of the denominator. Thus, we will have a horizontal asymptote given by: y = 0
Also, when the denominator is zero, the function becomes infinite. Thus, we have a vertical asymptote given by x = 4. So, the equations of all asymptotes for the function f(x) = (2x+3)/(x-4) are:y = 0 and x = 4b) To find the asymptotes of the given function f(x) = (1³-8), we will simplify the function first:f(x) = (1³-8) = -7The function f(x) = -7 is a constant function and does not have any asymptotes.
Thus, the equation of the asymptotes for the given function is N/Ac) To find the asymptotes of the given function f(x) = (-2x²-x)/(x+1), we will start by checking whether the degree of the numerator (which is 2) is less than the degree of the denominator (which is 1) or not. Here, the degree of the numerator is greater than the degree of the denominator. Thus, we will have an oblique (slant) asymptote. The oblique asymptote is given by: y = (ax+ b)Here, a = -2 and b = -2
Thus, the equation of the oblique asymptote is: y = (-2x-2)Also, when the denominator is zero, the function becomes infinite. Thus, we have a vertical asymptote given by x = -1. So, the equations of all asymptotes for the function f(x) = (-2x²-x)/(x+1) are: y = (-2x-2) and x = -1.
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What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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