Answers
The volume formula for a sphere is
\(V=\frac{4}{3}\pi(r)^3\)Where r = 9 cm, let's replace this value and solve
\(\begin{gathered} V=\frac{4}{3}\pi(9cm)^3 \\ V=\frac{4}{3}\pi729(cm)^3 \\ V=972\pi(cm)^3 \end{gathered}\)Hence, the third option is correct.Related Questions
Sara's mother bought 8 large oranges for $12.00. Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange. Sara's friend Daniel said he thought the ratio would be 8:12, so the unit rate would be 8/12 of an orange per dollar.
Explain how both Sara and Daniel might have found their unit rates and how both could be correct.
Answers
Sara calculated the unit rate as dollars per orange whereas Sara's friend Daniel calculated unit rate as oranges per dollar.
What is unit rate?
One of a given object constitutes a unit. The cost of only one of an item is its unit rate. With one as the denominator, this is written as a ratio. For instance, you would move 7 yards on average every second if you covered 70 yards in 10 seconds.
Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange, it means she is calculating the unit rate as dollar per oranges.
Whereas, his friend Daniel, he thought the ratio would be 8:12, so the unit rate would be 8/12 oranges per dollar.
In this way both the unit rates are correct.
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The backyard of a new home is shaped like a trapezoid with a height of 44 nt and bases of 86ft and 106ft What is the cost of putting sod on the yard, if the
landscaper charges $0.25 por square foot for sod?
Answers
Answer:
Step-by-step explanation:
Area of a trapezoid is the average length of the bases times the height
C = A(0.25)
A = ½(86 + 106)(44) = 4224 ft²
C = 4224(0.25) = $1056.00
A number plus 13 is greater than 5.
Answers
Answer:
x + 13 > 5
Step-by-step explanation:
let the number that is unknown be written as x
x + 13 > 5
Answer:
x+13>5
number we do not know, so its "x"
the 'number' plus 13
so
x+13
...is greater than 5, as in the whole thing, so
(x+13)> 5
^^^^^^^^ easy broo
I WILL MARK YOU BRAINLEST IF YOU HELP PLS HELP !!!!!!!!!!!!!!!!!!!!
Which comparison about the shapes is true? 6 triangles and 2 rectangles. For every 2 rectangles there are 8 triangles. For every 6 triangles there are 8 rectangles. For every 2 rectangles there are 4 triangles. For every 6 triangles there are 2 rectangles.
Answers
Answer: C. For every 2 rectangles there are 4 triangles.
Step-by-step explanation: I just did it on Edge :)
Answer:
D
Step-by-step explanation:
Just came back from the quiz
Options are 1,2,3,4
Answers
1x2 = 2, 2x2 = 4, 4x2= 8, etc.
Weber Interstate Paving Co. had $450 million of sales and $225 million of fixed assets last year, so its FA/Sales ratio was 50%. However, its fixed assets were used at only 45% of capacity. If the company had been able to sell off enough of its fixed assets at book value so that it was operating at full capacity, with sales held constant at $450 million, how much cash (in millions) would it have generated?
Answers
The amount of cash generated is 78.75 Million.
What is a sales ratio?Price-sales ratio, often known as the P/S ratio or PSR, is a stock valuation indicator. It is computed by dividing the market capitalization of the company by its most recent fiscal year's revenue, or, equivalently, by dividing the share price of the stock by its revenue per share.
The sales ratio will be calculated as below:-
Sales= $450 Million
Fixed Assets= $225 Million
% of capacity utilized. . 65%
Sales at full capacity = actual sales/%of capacity used = 692.31 millions dollars .
Target FA = Full capacity FA/sales = FA/Capacity sales = 32.50%
(225*65% = 146.25, 146.25/450 = 32.50%)
Optimal FA = sales * targeted FA/Sales Ratio = 450*32.50% = 146.25
Cash Generated = Actual FA-optimal FA = 225-146.25 = 78.75 millions dollars
Therefore, the amount of cash generated is 78.75 Million.
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solve the following absolute value equation.
−8 − 2 |5X – 17| = −14
Answers
If 5x - 17 ≥ 0, then |5x - 17| = 5x - 17 and the equation reduces to
-8 - 2 (5x - 17) = -14
-8 - 10x + 34 = -14
-10x = -40
x = 4
If 5x - 17 < 0, then |5x - 17| = -(5x - 17) = -5x + 17 and we have
-8 - 2 (-5x + 17) = -14
-8 + 10x - 34 = -14
10x = 28
x = 2.8
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
Answers
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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Transformations,, I have no clue what to do :(
Answers
Answer: 17
Step-by-step explanation:56%
A physical education teacher shares 21 bean bags equally between 4 students. The number of bean bags that each student gets lies between what two whole numbers.
A: 3 and 4
B: 5 and 6
C: 2 and 3
D: 7 and 8
Answers
Answer:
B. 5 and 6
Step-by-step explanation:
21 bean bags divided by 4 students will give you 5.25. That lies between 5 and 6. Hope this helps you and that little brainliest crown in the corner looks mighty tempting to click ;))
Answer:
B
Step-by-step explanation:
The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
the number of tickets sold. What is the total number of
tickets, x, that need to be sold for the drama club to break
even (profit = $0)?
Answers
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
a convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.8 m. an object is 5.6 m from the mirror.
Answers
The image's distance from the mirror is -1.87, by using the mirror equation.
Note:- Although the question is missing, I believe the issue is asking where the image is located.
To find the solution to the problem, the mirror equation can be used:
Mirror equation = \(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)
Where,
f = mirror's focal length
\(d_{o}\) = object's distance from the mirror
\(d_{i}\) = image's distance from the mirror
The focal length is assumed to be negative for a convex mirror in our problem.
f = -2.8 m
The object's distance (do) = 5.6m
By using the mirror equation, the image's distance from the mirror can be determined
\(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)
i.e, \(\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }\)
= \(-\frac{1}{2.8} -\frac{1}{5.6}\) = \(-\frac{3}{5.6}\)
= - 0.5357
\(d_{i} =\) \(-\frac{5.6}{3}\)
= -1.87 m
The virtual nature of the image is indicated by the negative sign (located behind the mirror)
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Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation. PLSS HELPP ASAP
Answers
Answer:
because the first one isn't the exact same as the second it equals something different and if u think about it it wouldn't look the exact same but in the front of the small one only has one and the first one has two
fill in the blank (no word bank)
Answers
Answer:
1.Angle B
2.Angle C
If It Is Wronge Sory
Solve for S
P=4s
Please answer!!!!
Answers
Answer:
b
Step-by-step explanation:
divide both sides of the equation by 4 to leave s by itself
Champagne is best when the bubbles are concentrated in the wine. A group of scientists compared gentle and splashing pouring methods for champagne by measuring the amount of bubbles in each glass of champagne poured two different ways at three different temperatures. The following data present the pattern of results obtained in the study.
Chane of temperature
40 46 52
Gentle pour n=10 n=10 n=10
M=7 M=3 M=2
SS=64 SS=57 SS=47
Splashing pour n=10 n=10 n=10
M=5 M=1 M=0
SS=56 SS=54 SS=46
Required:
a. Use a two-factor ANOVA with α= 0.05 to evaluate the mean differences.
b. Briefly explain how temperature and pouring influence the bubbles in champagne according to this pattern of results.
Answers
Answer:
??????
Step-by-step explanation:
Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Answers
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
Estimate 11,319+4,865 by first rounding each number to the nearest thousand.
Answers
Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side
Answers
Answer:
Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula
Step-by-step explanation:
Correct me if I'm wrong! :)
Answer:
Its 100
Step-by-step explanation:
I took the quiz and got it right
please help to solve this question
Answers
Answer:
x= m+3
y= m-3
now,
x+y+1 = 2m
or, m+3+m-3+1 = 2m
or, 2m+1 =2m
or, 3m=2m
or, m= 3/2 is the answer
A committee of four people is formed by selecting members from a list of 12 people.
How many different committees can be formed?
__ committees
Answers
The number of different committees that can be formed is 495
How many different committees can be formed?From the question, we have the following parameters that can be used in our computation:
People = 12
Committee = 4
These can be represented as
n = 12 and r = 4
The number of different committees that can be formed is
Number = nCr
So, we have
Number = 12C4
Evaluate
Number = 495
Hence, the committee are 495
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Evaluate the expression, given functions f , and g :
f(x) =7x−4
g(x) =11−x2
3f(1)−4g(−2)=
Number
Answers
The solution of the function 3f(1) - 4g(-2) is -19.
How to solve functions?The functions can be solved as follows;
f(x) = 7x - 4
g(x) = 11 - x²
Therefore, let's solve the composite function as follows:
A composite function is generally a function that is written inside another function.
Hence,
3f(1) - 4g(-2) = ?
f(1) = 7(1) - 4 = 7 - 4 = 3
g(-2) = 11 - (-2)² = 11 - 4 = 7
Therefore,
3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19
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5+3*3x-2 let x=2 i need help please
Answers
Answer:
21
Step-by-step explanation:
An equation is shown below: 5(2x − 3) = 15 Part A: How many solutions does this equation have? Part B: What are the solutions to this equation? Show your work.
Answers
Answer:
It has one solution
Step-by-step explanation:
5(2x-3)=15
10x-15=15
10x=15+15
10x=30
divide both sides by 10
10x/10=30/10
x=3
Answer:
Part A: This equation has only one solution.
Part B: The solution to the equation is x = 3.
Step-by-step explanation:
To solve the equation 5(2x - 3) = 15, we can follow these steps:
Part A: Determining the number of solutions
Since this is a linear equation with one variable, it can have either one solution, infinitely many solutions, or no solution.
Part B: Solving the equation
Let's solve the equation step by step:
Distribute the 5 on the left side of the equation:
5 * 2x - 5 * 3 = 15
10x - 15 = 15
Add 15 to both sides of the equation to isolate the variable term:
10x - 15 + 15 = 15 + 15
10x = 30
Divide both sides of the equation by 10 to solve for x:
(10x) / 10 = 30 / 10
x = 3
Therefore, the solution to the equation 5(2x - 3) = 15 is x = 3.
To summarize:
Part A: This equation has only one solution.
Part B: The solution to the equation is x = 3.
I need some help who ever helps me YOU ARE AN ANGEL FROM HEAVEN
Answers
Answer:
-9 1/4
Step-by-step explanation:
Answer:
- 9 and 1/4
Step-by-step explanation:
I converted fractions to decimals.
-5 and 3/4 = -5.75
3 and 1/2 = 3.5
-5.75 - 3.5 = -9.25
-9.25 = -9 and 1/4
Please help me. Please dont answer if you dont know. i will give brainliest. thankyou, have a great day! :)
Answers
Answer:
1. 3,077.2 cm³
2. 1,808.6 ft³
3. 602.9 in.³
4. 230.8 yd³
5. 191.8 m³
6. 70.3 in.³
Step-by-step explanation:
Recall: Volume of cylinder = πr²h
1. r = 7 cm
h = 20 cm
π = 3.14
Volume = 3.14*7²*20 = 3,077.2 cm³
2. r = 8 ft
h = 9 ft
π = 3.14
Volume = 3.14*8²*9 ≈ 1,808.6 ft³
3. r = ½(8) = 4 in.
h = 12 in.
π = 3.14
Volume = 3.14*4²*12 ≈ 602.9 in.³
4. r = 3½ yd = 3.5 yd
h = 6 yd
π = 3.14
Volume = 3.14*3.5²*6 ≈ 230.8 yd³
5. r = ½(5.3) = 2.65 m
h = 8.7 m
π = 3.14
Volume = 3.14*2.65²*8.7 ≈ 191.8 m³
6. r = 1.9 in.
h = 6.2 in.
π = 3.14
Volume = 3.14*1.9²*6.2 ≈ 70.3 in.³
Solve: 2 In 3 = In(x-4)
Answers
Answer:
x = 13
Step-by-step explanation:
one of the rules of logarithm (for all bases, by the way, not just e for ln) is
\(a \times ln(b) = ln( {b}^{a} ) \)
so, we have
ln(3²) = ln(x-4)
=>
3² = x - 4
9 = x - 4
x = 13
Plz answer (17points)
Answers
=======================================================
Explanation:
The expression \(5^4\) is an exponential. The base 5 is multiplied a total of 4 times. The exponent up top tells us how many copies of the base to multiply.
So, \(5^4 = 5*5*5*5 = (5*5)*(5*5) = 25*25 = 625\)
the ratio of the corresponding linear measures of two similar cans of cat food is 4:3. the larger can has a volume of 150
Answers
The volume of the smaller can is approximately 63.28.
We have,
If the ratio of the corresponding linear measures of two similar cans of cat food is 4:3, that means that every corresponding linear measure of the larger can is 4/3 times greater than the corresponding linear measure of the smaller can.
Since the volume of a can of cat food is proportional to the cube of its linear measures, the ratio of the volumes of the two similar cans is:
(4/3)³ = 64/27
If the larger can have a volume of 150, we can set up an equation to solve for the volume of the smaller can:
(volume of the smaller can) / 150 = 27/64
Multiplying both sides by 150, we get:
(volume of the smaller can) = 150 x 27/64 = 63.28
Therefore,
The volume of the smaller can is approximately 63.28.
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8x+3x+5y+9y+7g+4g+6+4+2+3+1+6+8
Answers
Answer:
11x + 14y + 16g + 26
Step-by-step explanation: