Question 3 of 10
2 Points
What is the volume of the sphere below?
5
A.
100
3
7 units 3
O
B.
ni units 3
3
C.
125
3
units 3
D.
500
3
7 units 3
Answers
Answer:
D
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus
V = [tex]\frac{4}{3}[/tex]π × 5³
= [tex]\frac{4}{3}[/tex]π × 125 = [tex]\frac{4(125)}{3}[/tex]π = [tex]\frac{500}{3}[/tex]π units³ → D
The volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .Option D is correct.
It is given that the radius(r) of the sphere is 5 unit.
It is required to find the volume of the sphere of the given figure.
What is the volume of the sphere below?As we know the volume of the sphere is:
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
Where, r represents the radius of the sphere.
Now putting the value of 'r' in the formula,
V = [tex]\frac{4}{3}\pi (5)^{3}[/tex]
V = [tex]\frac{4}{3} \pi[/tex]×(125)
V = [tex]\frac{4 (125)}{3}\pi[/tex]
V = [tex]\frac{500}{3} \pi[/tex] [tex]unit^{3}[/tex]
Thus, the volume of the sphere of the given figure is [tex]\frac{500}{3} \pi units^{3}[/tex] .
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Related Questions
which of the following is equal to the square root of -5
Answers
Answer:
√5 i
Step-by-step explanation:
√-5
√5*√-1
√-1=i
√5*i
√5 i
Solve for
theta in the interval 0 ≤ theta≤ 2 pi
cos theta sin theta − 1/2 sin theta=0
Answers
Answer:
< theta international
Identify the solutions to the quadratic equation
x2 + 4x-21 = 0
Check all that apply
O A. x= 3
B. X= -7
O C. x = 21
O D. x= -5
O E. x= 4
Answers
Answer:
Step-by-step explanation:
Solving quadratics is easy. With no coefficient to the x^2, we can go right to finding factors. We want two numbers that multiply to -21, and add to 4. Our numbers are 7, and -3. Now, we move the numbers around to be (x-3) and (x+7). We know that these both equal 0, so we can do basic algebra to solve for x. We can subtract 7 to the other side to just get x, and add 3 over because it is subtracted by x. This leaves us with our answers:
x = -7, x = 3
If we draw a ball from an urn containing 10 numbered balls, with seven red balls that are numbered 1, 2, 3, 4, 5, 6, 7 and three that are green and are numbered 8, 9, 10, what is the probability of drawing a ball that is red and even?
a. 2/5
b. 3/10
c. 1/2
d. 4/7
Answers
Answer:
b
Step-by-step explanation:
i dont get this at all
Answers
Answer: Not sure what you are asking; please edit your question so that I have the ability to assist you.
Step-by-step explanation: If the teacher did not include much information, go ahead and email her and let her know. I am not sure what the work you are doing in class is but try to ask her if she could help and if you need anything else, let me know!
Stay safe. Stay warm.
<3
-Carrie
39 less than the product of a number and 13 is 39
Answers
Answer:
13n - 39 = 39
Step-by-step explanation:
Let the number be n. Then we have 13n - 39 = 39
18. Convert 395 to a mixed number
written in lowest terms.
A. 4577
B.5 41
C.745
O D. 75/
Answers
Answer:
U can’t convert a single number to a mixed number
Step-by-step explanation:
Which equation in rectangular form describes the parametric equations x=5-3cost and y=4+2sint?
A. (x+5)^2/9+(y+4)^2/4=1
B. (y+4)^2/2-(x+5)^2/3=1
C. (y-4)^2/2-(x-5)^2/3=1
D. (x-5)^2/9+(y-4)^2/4=1
Answers
Answer:
D. (-x+5)^2/9+(y-4)^2/4=1 (I assume there was a mistype)
Step-by-step explanation:
The first step is isolating the sine and cosine functions.
x=5-3cos(t)
x + 3cos(t) = 5
3cos(t) = 5 - x
cos(t) = (5 - x)/3
y=4+2sin(t)
y - 4 = 2sin(t)
(y - 4)/2 = sin(t)
Then, square at both sides of the equal sign
cos²(t) = (5 - x)²/3² = (5 - x)²/9
sin²(t) = (y - 4)²/2² = (y - 4)²/4
Recall the trigonometric identity and replace.
cos²(t) + sin²(t) = 1
(5 - x)²/9 + (y - 4)²/4 = 1
a new school has a teacher to student ratio is 2:15. the school has 42 teachers. how many students are there in the school?
Answers
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
Im not sure about the answer
Answers
Answer:
D. 5:7 and 10:14
Step-by-step explanation:
25:35=5:7
5x2=10
7x2=14
For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?
Answers
Explanation:
If you have repeated x values, then you wont have a function. For example, the points (1,5) and (1,6) mean we don't have a function since the input x = 1 leads to multiple outputs y = 5 and y = 6 simultaneously. For a function to be possible, we must have any input lead to exactly one output only.
What we do is set the x coordinates (k^2 and 3k) equal to each other and solve for k
k^2 = 3k
k^2-3k = 0
k(k-3) = 0 .... factoring
k = 0 or k-3 = 0 .... zero product property
k = 0 or k = 3
If k = 0, then (k^2,5) becomes (0,5). Also, (3k,6) becomes (0,6). The two points (0,5) and (0,6) mean the graph fails the vertical line test.
Similarly, if k = 3, then (k^2,5) becomes (9,5) and (3k,6) = (9,6). Another vertical line test failure happens here to show we don't have a function.
Which expression should you simplify to find the 90% confidence interval,
given a sample of 64 people with a sample proportion of 0.55?
Answers
Step-by-step explanation:
CI = p ± z √(pq/n)
For 90% confidence, z = 1.645.
CI = 0.55 ± 1.645√(0.55 × 0.45 / 64)
The expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
What is confidence interval?A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.
CI z
0.70 1.04
0.75 1.15
0.80 1.28
0.85 1.44
0.90 1.645
0.92 1.75
0.95 1.96
0.96 2.05
0.98 2.33
0.99 2.58
According to the question
Data of people = 64
Data proportion (P) = 0.55
The 90% confidence interval
therefore, [tex]z_{c}[/tex] = 1.645
CI = P± [tex]z \sqrt{\frac{P ( 1-P}{N} }[/tex]
substituting the value
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
CI = 0.5563
Hence, expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
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Evaluate y=(1/5)x
when x=- 3
Answers
Answer:
125y
hope this helps
Answer:
Y = 125
Step-by-step explanation:
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
x-3y = -19
2x+y=-3
A. (-2, 1)
B. (-4,5)
C. (4, -11)
D. (-1,1)
SUBMIT
Answers
Answer:
x=-4,y=5
Step-by-step explanation:
Answer:
B (-4,5)
Step-by-step explanation:
x-3y=-19
2x+y=-3
this is how I'll start it off, I'll multiple the bottom equation by 3 to have the y-value become the reciprocal (opposite) of the top equation.
now it's:
x-3y=-19
6x+3y=-9
now add/subtract
7x=-28
divide 7 from both sides
x=-4
now plug -4 into the equations to get y
-4-3y=-19
add 4 to both sides to get rid of -4
-3y=-15
divide -3 on both sides
y=5
now to double check, do the other equation
2(-4)+y=-3
-8+y=-3
add 8 to both sides to get rid of -8
y=5
now to check the answer, plug in x=-4 and y=5 into the equations
-4-3(5)=-19
-4-15=-19
2(-4)+5=-3
-8+5=-3
Which is the graph of x^2/9-y^2/4=1
Answers
Answer: A (top left box)
Step-by-step explanation:
Geometry help please
Which set contains letters that all have rotational symmetry?
a.F, G, L, P
b.S, O, X, Z
c.A, M, T, O
d.H, I, J, X
Answers
Answer:
The answer is C- A, M, T, O
Identify the terms and the like terms in this expression.
7 + a – 2 + 3a + b^2
Which statements are true? Check all that apply.
a. The expression contains seven terms.
b. The terms in the expression are 7, a, 2, 3a, b2.
c. Constants are like terms.
d. 2 and b2 are like terms because they both contain the number 2.
e.a and 3a are like terms.
f. a, 3a, and b2 contain variables, so they are like terms.
Answers
Answer:
B, C, E
Step-by-step explanation:
I took the test and I got it right
Answer: B C E
Step-by-step explanation: Edge 2020-WAiT! It’s not 2020 any MORE! Anyways edge 2021
Help
Please!!!!!!!!!
Answers
Answer:
6 s^9t^3
...............
........................
Please I need help with my geometry math assignment with 13C and is Almost soon to due and I been struggling and needing help on it I try my best and don’t work out for me so I will mark your guys brainlist
Answers
Answer: y = 2x + 2
Step-by-step explanation:
To find the slope of a line perpendicular to another line, you take the slope of the other line and flip it (find the negative reciprocal) and make it negative.
In this case, -1/2 would become 2. 2 is now the slope of the line perpendicular to the other line.
Since the line passes through (1, 4), we can plug the point in - the line will be
y = 2x + 2.
Answer:
y=2x+2.
Step-by-step explanation:
Honestly the perpendicular flipping didn't make sense, but somehow google thought so, so ill leave it at this, if you need more help, just message me.
Can anyone help? I will mark you as brainliest!
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
First calculate the area of the field using this equation:
area = (a+b)/2 x h
Substitute the values in:
area = (210 + 190)/2 x 250
area = 50000 m^2
Calculate how many hectares this is:
50000/10000 = 5
This is 5 hectares
Multiply this by the number of kg per hectare
5 x 7200 = 36000
It would produce 36000 kg
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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What do the variables in this problem stand for V=Bh
V=
B=
h=
Please help
Answers
H= Height
V=Volume
B= base
h= height
therefore: volume= base(height)
A recipe needs 4/5 cups of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answers
Answer:
1 1/5 cups of butter
Step-by-step explanation:
4/5=2
=3
4/5 x 3=12/5
12/5 / 2
12/5 x 1/2=1 1/5
Can someone answer 32 points
Answers
Answer:
a= 3/4
Step-by-step explanation:
2/3 x 3/4- 1/6 = 1/3
Which of the following is equivalent to 7-2( x + 2) <-4 - 3(1 – x)?
(A) -5 x < -10
(B) - X<-16
(C) -2x <-17
(D) 6x<-9
Answers
pls help will mark as brainliest
Answers
If you plug in the x values, such as 2, into the equation you should get the y value. For example 1/4^2 is 1/16 which matches the table
Answer:
C or [tex]y=\frac{1}{4}^{x}[/tex]
Step-by-step explanation:
when x is 0 y is 1 and every positive number to the zeroth power is 1
so It can be A or C
but the value of y goes down when x goes up so its exponential decay or less than 1 so 1/4<1 So
C or [tex]y=\frac{1}{4}^{x}[/tex]
When 240 sixth-grade students were polled, results showed that 96 students were dissatisfied with the music played at the school dance. What percentage of the sixth-grade students does this represent? Use at least 2 strategies.
Answers
Answer:
40%
Step-by-step explanation:
one strategie is doing proportions
96/240= ?/100
simplify 96/240= 2/5
so 2/5=?/100
multiply 100 by 2
then divide it by 5
another strategie is putting it into a decimal and percent
96/240= 2/5
in decimal is 0.40
move the decimal twice to the right and you get 40%
If 3n – 2 = 10, then n = _______.
Answers
Answer:
n = 4
Step-by-step explanation:
[tex]3n-2=10\\3n=10+2\\3n=12\\n=12/3\\n=4[/tex]
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
Answer:
n=4
Step-by-step explanation:
The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.
Answers
Answer:
9x^4 - 6x^3 + 97x2 - 88x + 16
Step-by-step explanation:
so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and
(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.
(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2 - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16
gerald accepted a job as jazz pianist after being offered a $425 signing bonus l, if he makes $24 an hour, which equation models gerald's total pay y, in dollars, as it relates to the number of hours x that he works ?
Answers
Answer:
425+24x=y
Step-by-step explanation:
Answer: y=425x + 24
Step-by-step explanation: :PP
Angela and Tyler are selling tickets for a charity football game. Students will get a discount for the game. Angela sells 6 adult ticket and 10 student ticket for $122. Tyler sells 11 adult tickets and 5 student tickets for a total of $157. What is the of an adult ticket and what is the price of a student ticket?
A, Define your varibles and write a system of equations that represents the ticket sales for both Angela and Tyler.
let x=
Let y=
system of equation:
B' Solve system of equation
c' Write answer using a complete sentence.
Answers
Answer:
Step-by-step explanation:
Let’s say that the price of an adult ticket is x and a student ticket is y.
we know that 6 adult tickets (6x) and 10 student tickets (10y) equal 122, so 6x+10y=122. Then, 11x+5y=157
6x+10y=122
11x+5y=157
Multiply the first equation by -1/2 and add it to the second to cancel out the y
8x=96
x=12
Plug this back in to equation 2 to find y
132+5y=157
y=5
Checking this with the first equation, it all works out.
The price of an adult ticket for a charity football game is $12, while the price for a student ticket for the same game is $5