The complete question is
"A solid sphere is cut into 12 equal wedges. The volume of each wedge is V= 4/3πr³. Solve the formula for r."
A solid sphere is cut into 12 equal wedges. The volume of each wedge is V= 4/3πr³. The value of r is (9V/π)^1/3.
What is the volume of the sphere?It is given that;
The Volume of a sphere = V = 4/3πr³
Dividing into 12
4/3 x 1/12 πr³ = 1/9πr³
V = 1/9πr³
Cross multiply
9V = πr³
Divide both sides by π
9V/ π = πr³/ π
9V/ π = r³
Take the cube root of both sides
r = (9V/π)^1/3
Thus, The value of r is (9V/π)^1/3.
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ORDER OF OPERATIONS.
Simplify each expression using the order of operations.
Answer:
PEMDAS.
1. PARENTHESIS
2. EXPONENTS
3. MULTIPICATION
4. DIVISION
5. ADDITION
6. SUBTRACTION
Follow the steps of BEDMAS:
B = Brackets
E = Exponents
D = Division
M = Multiplication
A = Addition
S = Subtraction
Let's try 1) with these steps.
5 - 6 + 2(3)
We can see there are brackets. When a number is placed near a bracket, it means we need to multiply.
2 x 3 = 6
Let's check our expression.
5 - 6 + 6
We can see that there is addition and subtraction. When we have addition and subtraction together we can solve left to right. The same applies to multiplication and division.
So let's solve the rest of it.
5 - 6 = -1
-1 + 6 = 5
5 is the answer to 1).
Now I hope you can solve the rest accordingly with my help. If you are in a time constraint or genuinely don't feel like doing math, understandable. In that case, simply use any online scientific calculator :)
Good Luck!!!
A chemist is using 354 milliliters of a solution of acid and water. If 19.8% of the solution is acid, how many milliliters of
acid are there? Round your answer to the nearest tenth.
milliliters
describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES
Answer:
here man that's the answer
A number is doubled, then decreased by $13.7$. The result is greater than $125.28$. What is the smallest integer that satisfies this condition?
let's say the number is "a", so
[tex]\stackrel{doubled}{2a}~~ \stackrel{decreased}{-} ~~\stackrel{by~this~much}{13.7} ~~ \stackrel{greater~than}{ > } ~~ 125.28 \\\\\\ 2a > 125.28-13.7\implies 2a > 111.58\implies a > \cfrac{111.58}{2}\implies a ~~ > ~~ 55.79[/tex]
Answer:
56
Step-by-step explanation:
Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be?
Round the answer to two decimal places.
Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.
How much will Big Brothers, Inc. pay annually?This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.
Formula is:
Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate
Solving gives:
267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%
267,999 = Amount x 4.46865
Amount = 267,999 / 4.46865
= $59,973.15
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Determine whether the two lines are parallel, perpendicular, or neither.
4x + 5y = 2
4x + 5y = 4
Answer:
Step-by-step explanation:
slope is same so they are parallel.
please please help! i need to submit in 15 minutes!!!
Answer:
Step-by-step explanation:
I need the question to answer please :)
What is the solution for x in the equation?
-2x + 14 + 10x = 34
A.
B.
C.
D.
Answer: 2.5
Step-by-step explanation:
-2x + 14 + 10x = 34
8x + 14 = 34
8x = 34 - 14
8x = 20
x = 20/8
x = 5/2
x = 2.5
help me to solve maths
Answer:
9. 105/-21 = -5
10. -5 + 11 = 6
11. 368 x -16 = -5888
12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)
a teacher gets a bag of lollipops for her class. She buys a large bag of 84 lollipop. If she wants each child to have 3 lollipops how many students must be in her class?
pls help
tomorrow exam that's why
Answer:
Step-by-step explanation:
a) Four points
A, T , B , U
b) A ray has a fixed starting point but no end point. It extends infinitely in one direction
PA ; PB ; QT ; QU
c) A line segment is a part of a line that is bounded by two distinct end points.
PQ , PR
d) Parallel lines are two lines in the same plane that are at equal distance from each other and they never intersect.
AP // TQ and PB // QU
e) Two or more lines which share exactly one common point are called intersecting lines.
AB & PQ
f) ∠QPB and ∠BPR
The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.
Which of the following statements is true?
A. If w 12 inches, then l 10 inches
B. If w 12 inches, then l 10 inches
C. If w 12 inches, then l 10 inches
D. If w 12 inches, then l 10 inches
The true statement about the rectangle is A. If w is 12 inches, then l is 10 inches
How to determine the true statement?The given parameters are:
Perimeter, P = 44Area = 120 (at most)The perimeter of a rectangle is:
P = 2(L + W)
So, we have:
2(L + W) = 44
Divide by 2
L + W = 22
The area is calculated as:
A = LW
This gives
LW = 120
Express 120 as 12 * 10 and 10 * 12
LW =12 * 10 or LW = 10 * 12
By comparison, we have:
L = 12 and W = 10 or L = 10 and W = 12
When these values are substituted in L + W = 22, we have:
10 + 12 = 22 and 12 + 10 =22
This means that the dimensions of the rectangle are 10 by 12 inches or 12 by 10 inches
Hence, the true statement is A. If w is 12 inches, then l is 10 inches
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Answer: for short its a
Step-by-step explanation:
Which of the following linear functions have a y-intercept of 4? Select all that apply.
y = 4
x=4
Ug=2z 8
y=x+4
y=-2 +4
Answer:
y=4
y=x+4
y=-2+4
Step-by-step explanation:
the trick is to consider x as 0.
7) $72.45 -28.98 Rounded estimate
Answer:
$43
Step-by-step explanation:
$72.45 can be rounded down to $72.00
$28.98 can be rounded up to $29.00
$72-$29= $43
your grade.
Find y. Give your answer in
the simplest form.
X
60°
y = [?]
2√3
Enter the number that belongs in
the green box.
Answer:
y=3
Step-by-step explanation:
trust me bro
A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?
The number tablets per dose of drug A to be administered on the patient is 4 tablets
Quantity conversion1 gram = 1000 milligram
Drug A provided = 1 gramDose = 250 milligramNumber of tablets to administer = Drug A provided / Dose
= 1 gram / 250 milligram
= 1000 milligram / 250 milligram
Number of tablets to administer = 4 tablets
Therefore, the number tablets per dose of drug A to be administered on the patient is 4 tablets
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four points are always coplanar if they: check all that apply.
A. lie in the same plane
B. lie on different lines
C. lie on different planes
D. lie on the same line
Answer:
B. lie on different lines
Step-by-step explanation:
12(5-5)+3x5 evaluate the expression
Answer:
Using PEMDAS we can see that P or parenthesis is first so we would subtract 5 from 5 in the beginning. That would result in a 0 which would then get multiplied with 12 to still have 0.
[tex]12(5-5) + 3 * 5[/tex]
[tex]12(0) + 3 * 5[/tex]
[tex]0 + 3 *5[/tex]
Now that we completed that part, the only thing that we have left to do is to multiply the last two numbers, 3 and 5.
[tex]3*5[/tex]
[tex]15[/tex]
Therefore, our final solution is 15.
Hope this helps!
WHAT IS THE RATIO OF CIRCLES TO SQUARES
Answer: 10x2π:36x2
Explanation: So the area of the circle is πr2=10x2π. So the ratio of the area of the circle to the area of the square is 10x2π:36x2, which is equivalent to 5π:18, as required.
3 quick questions 28 points
For the first image, I would recommend using Desmos; it is an online graphing calculator. You can find it on online and it is free; I use it all the time for my school work
I would input each function and sees which one matches the image on the test.
As for the second image, I believe the answer is C; x is greater than or equal to -1.
For the third and last image, I believe the answer is A; x is less than -1.
I hope this helps .
Write the expression in standard form. (2 points) seven divided by quantity three minus fifteen i.
Answer:
[tex]\displaystyle \frac{7}{3-15i}=\frac{7}{78}+\frac{35}{78}i[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{7}{3-15i}\\\\\frac{7}{3-15i}*\frac{3+15i}{3+15i}\\\\\frac{21+105i}{9-225i^2}\\\\\frac{21+105i}{9+225}\\\\\frac{21+105i}{234}\\\\\frac{21}{234}+\frac{105}{234}i\\ \\\frac{7}{78}+\frac{35}{78}i[/tex]
Find the mean, μ, for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth. A) μ = 29.7 B) μ = 3.4 C) μ = 48.6 D) μ = 28.8Find the mean, μ, for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth.
A) μ = 29.7 B) μ = 3.4
C) μ = 48.6 D) μ = 28.8
The mean of the binomial distribution is (d) μ = 28,8
How to determine the mean?The given parameters of the binomial distribution are given as:
n = 48 and p = 3/5
The mean is then calculated using:
μ = np
This gives
μ = 48 * 3/5
Evaluate
μ = 28,8
Hence, the mean of the binomial distribution is (d) μ = 28,8
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Need help with this question p
Answer:
4x² + 12x + 9
Step-by-step explanation:
Using identity:(a +b)² = a² + 2ab + b²
Here, a = 2x & b = 3
(2x +3 )² = (2x)² + 2*2x*3 + 3²
= (2x*2x) + 12x + 3*3
= 4x² + 12x + 9
Can someone help with this? I don't understand how to find the answer
What is the mass of 35 moles of CO₂?
Use long division method to solve & following.
5 on 8
Answer:
0.625
Step-by-step explanation:
What are m∠1 and m∠2?
Answer:
B. <1 = 35, m<2 = 30
Step-by-step explanation:
To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.
80 + 65 = 145
180 - 145 = 35
<1 = 35
Repeat with the other side.
85 + 65 = 150
180 - 150 = 30
<2 = 30
Hope this helps!
Among black respondents to the 2008 GSS, 167 had no small children at home, and 44 did have small children at home. Among those black respondents who had no small children at home, 62 of them had been to a zoo in the past year. Among those black respondents who did have small children at home, 23 of them had been to a zoo in the past year. Build a crosstab with these results, percentage it, run a chi-square test, and explain your results.
Answer:
Step-by-step explanation:
An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?
Answer:
y = $3.75(x) + .45$
Step-by-step explanation:
Take the input and subsitute
13 × (11 + 11) - (4 × 17) - 6 = X
Answer: 212
Step-by-step explanation:
13 * 22 - 68 - 6 = X
286 - 68 - 6 = X
286 - 74 = X
X = 212