Answers
= 523 in³
The correct answer is the first
volume of a sphere=(4/3)*pi*r³
for r=5 in
volume of a sphere=(4/3)*pi*5³-------> 523.33 in³-------> volume =523 in³
the answer is
the volume is equal to 523 in³
Related Questions
Suzy randomly picks marbles form a bag containing 13 identical marbles. how many possible outcomes are there of she selects 10 marbles?
Answers
Answer:
286 possible outcomes.
Step-by-step explanation:
We have been given total 13 identical marbles
We need to select 10 out of 13
We will use combination:
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
here,n=13 and r=10 on substituting the values in the formula we get:
[tex]^13C_{10}=\frac{13!}{10!(13-10)!}[/tex]
[tex]^13C_{10}=\frac{13\cdot 12\cdot 11\cdot10!}{10!\cdot 3!}[/tex]
[tex]\Rightarrow ^13C_{10}=\frac{13\cdot12\cdot11}{3\cdot2\cdot1}[/tex]
[tex]\Rightarrow 286[/tex]
So, there are 286 possible outcomes.
Possible number of outcome that she can select [tex]10[/tex] marbles from [tex]13[/tex] identical marbles are [tex]\boxed{286}[/tex].
Further explanation:
The formula of combination can be expressed as,
[tex]\boxed{^n{C_r} = \frac{{n!}}{{r!\left( {n - r} \right)!}}}[/tex]
Given:
A bag contains [tex]13[/tex] identical marbles.
Calculation:
Suzy randomly picks [tex]10[/tex] marbles from a bag of [tex]13[/tex] identical marble.
The number of possible outcomes that she can select [tex]10[/tex] marbles can be obtained as,
[tex]{\text{Possible}}\,{\text{outcomes}} = {\,^{13}}{C_{10}}[/tex]
Substitute [tex]13[/tex] for [tex]n[/tex] and [tex]10[/tex] for [tex]r[/tex] in equation [tex]{^n{C_r} = \frac{{n!}}{{r!\left( {n - r} \right)!}}}[/tex] to obtain the possible outcomes that she can select [tex]10[/tex] marbles from [tex]13[/tex] identical marbles.
[tex]\begin{aligned}{\text{Possible}}\,{\text{outcomes}}&= {\,^{13}}{C_{10}} \\ &= \frac{{13!}}{{10!\left( {13 - 10} \right)!}} \\ &= \frac{{13!}}{{10!\left( {3!} \right)}} \\ &= \frac{{13 \times 12 \times 11 \times 10!}}{{10!\, \times 3 \times 2 \times 1}} \\ &= 286\\\end{aligned}[/tex]
Hence, possible number of outcome that she can select [tex]10[/tex] marbles from [tex]13[/tex] identical marbles are [tex]\boxed{286}[/tex].
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Combination
Keywords: Suzy, picks, marbles, 13 identical marbles, 10 marbles, possible, outcomes, select, combination, randomly picks, a bag contains 13 marbles.
Solve the lp problem. if no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. hint [see example 1.] (enter empty if the region is empty. enter unbounded if the function is unbounded.) maximize p = x − 2y subject to x + 4y ≤ 9 x − 5y ≤ 0 6x − 3y ≥ 0 x ≥ 0, y ≥ 0.
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p = 3
This linear programming problem can be solved by graphing the given inequalities to determine the feasible region. If this region is empty, there are no solutions. If the function is unbounded in this region, the maximal value can be infinitely large.
Explanation:To solve this linear programming problem, we first need to identify its feasible region which is defined by its constraints. The constraints of this problem are as follows:
x + 4y ≤ 9 x - 5y ≤ 0 6x - 3y ≥ 0 x ≥ 0, y ≥ 0By graphing these inequalities we can identify the feasible region as the intersection of these inequalities. If the feasible region is empty, it means that there is no solution that satisfies all the constraints. If the objective function p = x - 2y is unbounded, it means that the maximum value of p can be infinitely large within this feasible region. By investigating both these situations, we should be able to determine whether an optimal solution exists or not.
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#SPJ2
Find the area of the figure show steps
Answers
You can separate the image into two shapes, a trapezoid and a parallelogram
To find the area of a trapezoid you use the equation
[tex] \frac{a+b}{2} h[/tex]
a is base 1
b is base 2
h is height
Put in the values you know
[tex] \frac{11 + 8}{2} * 4[/tex]
Add
[tex] \frac{19}{2} * 4[/tex]
Divide
9.5 * 4 = 38
Next you find the area of the parallelogram
To find the you use the equation
bh
b is base
h is height
Put in the values you know
11 * 8.2 = 90.2
Add the two areas together to get the area of the whole shape
90.2 + 38 = 128.2
The answer is 128.2
Hope this helps!
Hi please help :)
What is the value of b in the given quadratic regression equation?
Y= -0.139x^2 + 1.667x
A. 1
B. 1.667
C. 0
D. -0.139
Answers
Answer:
The answer on edge 2021 is 1.667
Step-by-step explanation:
I got a 50% and it showed the answer
The value of b in the quadratic regression equation is 1.667.
The value of b in the given quadratic regression equation is 1.667.
To find the value of b, you can look at the coefficient of the linear term in the quadratic equation ,, In this case, the linear term is 1.667x, so the value of b is 1.667.
hello can you please help me posted picture of question
Answers
Any value outside this range cannot be a value of probability.
Values like -0.5 , 1.25 cannot be the probabilities.
So, the correct options are: B, C and E
Alexis please help stat
Answers
19.82 > 19.803
19.82 is greater than 19.803 so it's a true statement.
How many points should be plotted when creating a scatterplot from the table of values below? Pages in Book vs. Time Needed to Read Number of pages in book Time needed to read book (hours) 200 18 175 15 275 21 225 18 400 30 350 26
Answers
Answer: 6
Step-by-step explanation:
Given table: Number of pages in book Time needed to read book (hours)
200 18
175 15
275 21
225 18
400 30
350 26
The number of observations in the above table = 6
When we create a scatter-plot from the table of values the number of points should be plotted =6.
Hence, the number of points should be plotted when creating a scatter-plot from the given table of values =6
What is the surface area of the cylinder in terms of Pi? radius is 14in and height is 18 in A. 896 pi in^2 B. 504 pi in^2 C. 392 pi in^2 D. 350 pi in^2
Answers
Answer:
The answer is 896pi in.^2
Step-by-step explanation:
It may seem confusing as you get an answer in the thousands by plugging in the formula, but remember they are asking you to find the answer in "terms of pi". This means you have to divide the answer by 3.14.
2814/3.14 = 896pi in^2
Hope this helped!
System.out.print((k%3) + " "); if ((k % 3) == 0) k = k + 2; else k++; } what is printed as a result of executing the code segment? question 21 options:
a. 0 2 1 0 2
b. 0 2 0 2 0 2
c. 0 1 2 1 2 1 2
d. 0 2 0 2 0 2 0
e. 0 2 1 0 2 1 0
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Kim's family spends $62.50 on a dinner they leave an 18% tip how much is their total bill after
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1) Find the tips.
2) Add the tips to the bill.
Tips = 18% x $62.50 = 0.18 x 62.5 = $11.25
Total bill = $62.50 + $11.25 = $73.75
Answer: $73.75
total bill = dinner*(1.18)
total bill = $62.50*1.18 = $73.75
The bill with tip is $73.75.
a triangle has an area of 12 centimeters to the second power and a base of 8 centimeters what is the height of the triangle show you work will mark brainiest
Answers
jenny is diving into a swimming pool from a diving board. The expression below represents Jenny's vertical height, in feet, above the surface of the water after x seconds. -16x^2 +12x+10. Which statement best describes the term 10?
A. Jenny's initial height above the surface of the water
B. The time it takes Jenny to reach the surface of the water
C. The horizontal distance from the diving board Jenny travels
D. the maximum height Jenny reaches.
Answers
Answer:
A. Jenny's initial height above the surface of the water
Step-by-step explanation:
Given : The expression below represents Jenny's vertical height, in feet, above the surface of the water after x seconds. [tex]-16x^2 +12x+10.[/tex]
To Find: Which statement best describes the term 10?
Solution:
[tex]h(x)=-16x^2 +12x+10.[/tex]
Substitute x = 0 i.e.time = 0 seconds
[tex]h(x)=-16x^2 +12x+10.[/tex]
[tex]h(0)=-16(0)^2 +12(0)+10.[/tex]
[tex]h(0)=10[/tex]
so, at time 0 the height was 10
So, 10 is the initial height.
Thus Option A is correct.
A. 10 is Jenny's initial height above the surface of the water.
Is 0.6 and 0.60 equal to each other
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A coin is tossed 10 times and lands tails up 3 times. What is the experimental probability of the coin landing tails up?
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Sarah is taking ACCUPLACER. In which section will she find the following question? What is the value of the expression 3x2 + 6xy + 5y2 when x = 1 and y = 6?
Answers
Arithmetic is the answer
hello can you please help me posted picture of question
Answers
Number of medals to be awarded = 6
We have to distribute (arrange) the 6 medals among 28 students, so this is a problem of permutations. This means we have to find the permutations of 28 objects taken 6 at a time. This can be expressed as 28P6
[tex]28P6= \frac{28!}{22!} \\ \\ =271252800 [/tex]
This means, there are 271252800 ways to award the medals.
So, the correct option is C
Q # 7 please solve. the math
Answers
12 in by 22 in by 4 in
the explanation is as shown in the figure
The dimension will be x , 20 - 2x , 30 -2x
the volume= v = x(20-2x)(30-2x) = 4x³ - 100x² + 600x
differentiating with respect to x and equating to zero
dv/dx = 12x² - 200x + 600 = 0
solve for x using calculator
x = 12.7 (unacceptable) or x = 3.92 ≈ 4
∴ The dimension will be 4 , 12 , 22
Solution:The dimension = x , 20 - 2x , 30 -2x
the volume=
v = x(20-2x)(30-2x)
= 4x³ - 100x² + 600x
dv/dx = 12x² - 200x + 600 = 0x = 12.7
x = 3.92
≈ 4
Dimension: 4 , 12 , 22
In quadrilateral $ABCD$, we have $AB=3,$ $BC=6,$ $CD=4,$ and $DA=4$.
If the length of diagonal $AC$ is an integer, what are all the possible values for $AC$?
Answers
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
To find the possible integer lengths for diagonal AC in quadrilateral ABCD, the Triangle Inequality Theorem is used. Possible integer values for AC are constrained between the sum and the difference of the lengths of the sides forming triangles ABC and CDA, resulting in potential lengths of 4, 5, 6, and 7.
Explanation:The question pertains to finding all possible integer values for the diagonal AC of a quadrilateral ABCD given the lengths of the sides. To determine the possible lengths of AC, we need to inspect the properties of triangles that could form within the quadrilateral upon drawing this diagonal. The quadrilateral could possibly be a rectangle, a square, or a parallelogram, but without further information, we assume it is an irregular quadrilateral.
By using the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, we can determine possible values for AC. Since ABCD is a quadrilateral with sides AB = 3, BC = 6, CD = 4, and DA = 4, diagonal AC can create two triangles, ABC and CDA. For triangle ABC, the sum of sides AB and BC is 9, so AC must be less than 9. Similarly, for triangle CDA, the sum of sides CD and DA is 8, so AC must be less than 8. Therefore, the maximum value for AC is 7. However, AC must also be greater than the difference of the sides, 3 for triangle ABC and 0 for triangle CDA. This leaves us with possible integer values of 4, 5, 6, and 7 for AC.
Lot 21 is a trapezoid with the two bases
perpendicular to the road. The scale drawing
below uses the scale 1/2 inch = 40 feet.
Base 1=3.5 inches
Base 2=5 inches
height=4 inches
What is the approximate area of Lot 21?
(1 acre = 43,560 square feet)
A 1/2 acre
B 2 acres
C 2 1/2 acre
D 3 acres
Answers
but the scale is:
1/2in=40 ft
hence
1 in=80 ft
the dimensions of the trapezium is:
Base=80*3.5=280 ft
Base=80*5=400 ft
Height=80*4=320 ft
thus the area is:
A=1/2(280+400)*320
A=108,800
but
1 acre=43560 ft²
Thus:
108800 ft²=108800/435602.4977=~2.5 acres
Answer: C] 2.5 acres
A tank with a capacity of 100 gallons initially contains 50 gallons of water with 10 pounds of salt in solution. fresh water enters at a rate of 2 gallons per minute and a well-stirred mixture is pumped out at the rate of 1 gallon per minute. compute the amount of salt (in pounds) in the tank at the first moment when the tank is filled.
Answers
The rate at which the amount of salt in the tank changes is given by the ODE
[tex]A'(t)=\dfrac{2\text{ gal}}{1\text{ min}}\cdot\dfrac{0\text{ lb}}{1\text{ gal}}-\dfrac{1\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{50+(2-1)t\text{ gal}}[/tex]
[tex]A'(t)+\dfrac{A(t)}{50+t}=0[/tex]
[tex](50+t)A'(t)+A(t)=0[/tex]
[tex]\bigg((50+t)A(t)\bigg)'=0[/tex]
[tex](50+t)A(t)=C[/tex]
[tex]A(t)=\dfrac C{50+t}[/tex]
Given that [tex]A(0)=10[/tex], we find that
[tex]10=\dfrac C{50+0}\implies C=500[/tex]
so that the amount of salt in the tank is described by
[tex]A(t)=\dfrac{500}{50+t}[/tex]
The tank will be filled when [tex]50+t=100[/tex], or after [tex]t=50[/tex] minutes. At this time, the amount of salt in the tank is
[tex]A(50)=\dfrac{500}{50+50}=5\text{ lb}[/tex]
Final answer:
The amount of salt in the tank, described by the differential equation, reaches 5 pounds after 50 minutes with an initial amount of 10 pounds and a rate of change defined by the given equation.
Explanation:
Let's start with the given differential equation: A'(t) = (2 gal/1 min) * (0 lb/1 gal) - (1 gal/1 min) * A(t) / (50 + (2 - 1)t gal).
By simplifying the equation, we get A'(t) + A(t) / (50 + t) = 0. Multiplying through by (50 + t) gives (50 + t)A'(t) + A(t) = 0. Recognizing that ((50 + t)A(t))' equals zero, we integrate to find (50 + t)A(t) = C, where C is a constant.
With the initial condition A(0) = 10, we find 10 = C / (50 + 0), which simplifies to C = 500. So, the equation describing the amount of salt in the tank is A(t) = 500 / (50 + t).
To determine when the tank will be filled, we solve 50 + t = 100, which gives t = 50 minutes. Plugging this into A(t) yields A(50) = 500 / (50 + 50) = 5 lb.
The actual income for this month has been reduced 200
Answers
Mara ran 3km north ad then 4km east. she will finish her run by running directly home. What is the total distance of her run
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By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
So the total distance of her run is 5+4+3=12 km
[tex] {3}^{2} + {4 }^{2} = {c}^{2} [/tex]
9+16=25, and the square root of 25 is 5. This is your answer.
What is a ray? For math...
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Alex needed proceeds of $12,345. How much does he need to take out at 6% interest for 120 days to receive proceeds of $12,345? please help me with https://brainly.com/question/10042149 too!
Answers
$12,345 = (1.00 -2%)*(amount borrowed)
$12,345/0.98 = (amount borrowed) = $12,596.94
A 9 cm tall cone shaped paper cup can hold up to 58.9 cm3 of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.
Answers
V=1/3πr²h
thus the radius of the cone will be:
58.9=1/3×3.14×r²×9
r²=6.25265
r~2.5 cm
thus the area of the cone will be:
A=πr(r+√(h²+r²))
A=3.14×2.5(2.5+√(2.5²+9²))
A=92.9500 cm²
Thus the area of material needed to make the cup is 92.95 cm²
Answer:
A minimum of 93 cm squared
Step-by-step explanation:
Law of cosines: a2 = b2 + c2 – 2bccos(A). What is the measure of S to the nearest whole degree?
Answers
Answer:
I think the answer is 77.
Step-by-step explanation:
4/5 decomposed in 2 different ways
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Mrs.Klein uses 12 cucumbers to make 3 jars of pickles. At this rate, how many cucumbers will she need to make 10 jars of pickles?
Answers
Answer:
40
Step-by-step explanation:
So she has 12 cucumbers to make 3 jars of pickles.
She uses 4 cucumbers to make each jar. (Based on the equation 12➗3 =4)
Shawtyyyy better be using those pickles on burgers and not eating it raw.
So she has 10 jars right? Right, and you know she used 4 pickles per jar, so
we can get the answer by the equation of 10 x 4 = 40
Have a great day shawtayyyyyy!
Find up to isomorphism all abelian groups of order 48 72 84 g
Answers
48, 72 84 is the right order that this go in
Let f = ay i + bz j + cx k where a, b, and c are positive constants. let c be the triangle obtained by tracing out the path from (7, 0, 0) to (7, 0, 2) to (7, 6, 2) to (7, 0, 0). find f · dr
c.
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The curl of the given vector field is
[tex]\nabla\times\mathbf f(x,y,z)=-b\,\mathbf i-c\,\mathbf j-a\,\mathbf k[/tex]
Parameterize the triangular surface bounded by [tex]\mathcal C[/tex] - I'll call it [tex]\mathcal S[/tex] - by
[tex]\mathbf s(u,v)=7\,\mathbf i+6v\,\mathbf j+2(u+v-uv)\,\mathbf k[/tex]
with [tex]0\le u\le1[/tex] and [tex]0\le v\le1[/tex]. By Stokes' theorem, we have
[tex]\displaystyle\int_{\mathcal C}\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\iint_{\mathcal S}\nabla\times\mathbf f(x,y,z)\cdot\mathrm d\mathbf S[/tex]
where [tex]\mathcal S[/tex] is positively oriented; that is, every vector normal to [tex]\mathcal S[/tex] is pointed in the positive [tex]x[/tex] direction. The surface element is given by
[tex]\mathrm d\mathbf S=\mathbf s_u\times\mathbf s_v\,\mathrm du\,\mathrm dv[/tex]
So our integral is
[tex]\displaystyle\int_{v=0}^{v=1}\int_{u=0}^{u=1}(-b\,\mathbf i-c\,\mathbf j-a\,\mathbf k)\cdot((12v-12)\,\mathbf i)\,\mathrm du\,\mathrm dv[/tex]
[tex]\displaystyle=12b\int_{v=0}^{v=1}(1-v)\,\mathrm dv=6b[/tex]
The task involves evaluating the line integral of a vector field along a path to determine the work done by the field. Since the path does not traverse in the x-direction, only the y and z components of the vector field contribute to the integral. The calculation involves parameterizing each segment and summing up the individual integrals.
Explanation:The student's question involves finding f · dr along a path c in a vector field. The vector field is given as f = ay i + bz j + cx k, and the path c is a triangle with vertices at (7, 0, 0), (7, 0, 2), and (7, 6, 2). The dot product of a vector field with a differential displacement vector (dr) represents the work done by the field along that path.
To find the integral of f · dr along the path c, we would parameterize each segment of the path and evaluate the line integral. However, since the vector field has constants multiplied by either i, j, or k, and the path only moves parallel to the y and z axes, the components involving x do not contribute to the integral. Therefore, for each segment of the path, we will only consider the y and z components of the vector field. The line integral along the path is then the sum of the integrals over each segment of the triangle.
In this example, since the x-component of the field does not change and the path does not move in the x direction, the integral over the x components will be zero.
Calculation Steps:
Parameterize each segment of the path.Evaluate the integral of f · dr over each segment.Add the integrals from each segment to get the total work done by the field along path c.