Find the volume (in terms of pi) of a sphere if it’s surface area is 100 pi ft2. PLEASE HELP ME
Answers
Hey there! I'm happy to help!
to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.
First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.
Let's do that formula backwards on our surface area to find the radius.
We divide by π
100÷π=100
We divide by 4.
100÷4=25
We find the square root.
√25=5
Now, we use our radius in the volume formula.
5³=125
125×4/3=500/3
We multiply by π.
500/3π
Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.
Have a wonderful day! :D
Answer:
V=166.66[tex]\pi[/tex] ft³
Step-by-step explanation:
The surface area of a sphere is 4[tex]\pi[/tex]r²
100[tex]\pi[/tex]=4
100[tex]\pi[/tex]/4
25=r²
r=5
Now that we know the radius is 5, we can find the volume.
v=4/3[tex]\pi[/tex](5)³
v=(5*5*5*4)/3*[tex]\pi[/tex]
V=166.66[tex]\pi[/tex]
Related Questions
P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode
Answers
Answer:
range
Step-by-step explanation:
The difference between the largest and smallest value in a data set is the range
Answer:
Range
Step-by-step explanation:
I hope this will help you buddy
Please help explanation if possible
Answers
Answer:
Jordans' age = 31 ; Anna's age = 19
Step-by-step explanation:
Given the 2 equations relating their ages
J + A = 50 → (1)
J = 12 + A → (2)
Substitute J = 12 + A into (1)
12 + A + A = 50
12 + 2A = 50 ( subtract 12 from both sides )
2A = 38 ( divide both sides by 2 )
A = 19
Substitute A = 19 into (2)
J = 12 + 19 = 31
Then Jordans' age = 31 ; Anna's age = 19
Answer:
Step-by-step explanation:
J = 12 + A equation 1
J + A = 50 equation 2
Solving equation 2
J + A = 50
A = 50 - J equation 3
Putting value of A in equation 1
J = 12 + A
J = 12 + 50 - J
Bringing like terms on one side
J + J = 12 + 50
2J = 62
J = 62/2 = 31
Putting value of J in equation 3
A = 50 - J
A = 50 - 31 = 19
Checking answer by putting values in equation 2
J + A = 50
31 + 19 = 50
50 = 50
So the age of Jordan is 31 and Anna is 19
Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. What question does the equation 525=25(x-2) help answer?
Answers
The total number of members (with the absentees included)
What is 7 1 in expanded form
Answers
Step-by-step explanation:
70+1
Steps:
write tens and then ones
Over what axis was the square reflected in the first example?
The x-axis
The y-axis
Answers
————————
Answer:
The x-axis!
Step-by-step explanation:
I REALLY NEED HELP ASAP WITH THESE 3 QUESTIONS!!!!!!!!!
Answers
None
Some
None
None
6. Y= -x-14.50
7. x<11, in words x is less than eleven.it has infinite solutions.
8.
Which of the following are good ideas to use when gathering your resources?
Check all that apply.
O A. Form an equation:
B. Draw a diagram.
C. List potential formulas.
D. Guess at the solution and see if you are close.
E. Organize into a table.
F. Write down the facts.
Answers
Answer:
Organize into a table for good gatherings.
Select the equivalent expression,
(9^6*7^-9)^-4 =?
Choose 1 answer:
А
9^24*7^-36
B
9^24/7^36
C
7^36/9^24
Answers
Answer:
c
Step-by-step explanation:
The expression (9⁶ x 7⁻⁹)⁻⁴ is equivalent to expression 7³⁶ / 9²⁴. Then the correct option is D.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (9⁶ x 7⁻⁹)⁻⁴
Simplify the expression, we have
⇒ (9⁻⁶ x 7⁹)⁴
⇒ 9⁻²⁴ x 7³⁶
⇒ 7³⁶ / 9²⁴
Then the correct option is D.
More about the equivalent link is given below.
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Please help, I don't understand
Answers
Answer:
sin(θ) = (2/5)√6
Step-by-step explanation:
The sine and cosine are related by the formula ...
[tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]
Filling in the given value for cos(θ), we find the sine to be ...
[tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]
__
The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...
sin(θ) = (2/5)√6
Is 2.73234(34 repeating) rational or irrational?
Answers
It's rational because of the repeating digits.
We have
x = 2.732343434…
Then
1,000x = 2,732.343434…
and
100,000x = 273,234.343434…
Subtracting these makes the fractional part go away, leaving you with
100,000x - 1,000x = 273,234.343434… - 2,732.343434…
100,000x - 1,000x = 273,234 - 2,732
99,000x = 270,502
x = 270,502/99,000 = 135,251/49,500
which is clearly a rational number.
Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number of students who attend his current sessions each week. The results from the last twelve weeks are shown in the dot plot below.
Answers
Answer:
The correct options are:
Four families said they ate out twice the previous week.
One family said they ate out 5 times the previous week.
The median best represents the data set.
Step-by-step explanation:
We are given a data set as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
On arranging this data set in the frequency table we get:
Number of times they went for dinner Number of families
0 2
1 3
2 4
3 1
4 2
5 1
6 1
Hence, the range of the number line is between 0 to 6.
Also there are 4 dots above 2.
Hence, Four families said they ate out twice the previous week.
Also there is one dot above 5.
Hence, One family said they ate out 5 times the previous week.
The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.
Hence, the data set is not symmetrical.
Also we know that the median of the data is the central tendency of the data and always best represents the data.
Hence, The median best represents the data set.
Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?
Tysm!
Answer: The data is skewed left option c
Step-by-step explanation: A set of data is skewed when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the data lies to the right. Therefore, the data is skewed left.
Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than or equal to 4.x ≥ 4?
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the left.
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the right.
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the right.
Answers
Answer:
it's b :)
Step-by-step explanation:
A number line which represents the solution set for the given inequality is: option B.
What is a number line?A number line refers to a type of graph with a graduated straight line which contains numerical values (both positive and negative numbers) that are placed at equal intervals along its length.
Next, we would solve the given inequality:
-½x ≥ 4
-x ≥ 4 × 2
x ≤ -8.
Therefore, a number line which represents the solution set for the given inequality is a number line from -10 to 10 in increments of 2 with a point at -8 and a bold line starts at -8 while pointing to the left.
Read more on number line here: brainly.com/question/24644930
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Joey went for 15 auditions. Out of those 15 auditions, he got called back for 30% of them. Approximately how many did he get called back for?
Answers
Answer:
2
Step-by-step explanation:
Basically,
You just have to find 30% of 15...
So
The formula is...
BASE x PERCENT= AMOUNT
x times 0.3= 15
0.3/15=0.02
0.02 x 100= 2
So
Joey got called back for approximately 2 auditions.
What is the underlined sentence mean can someone explain
Answers
Step-by-step explanation:
1235
Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.
So 2 is in tens.
Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.
HOPE ITS HELPFUL
Answer:
4544
Step-by-step explanation:
The underlined sentence means that the 2nd and third values must be different, for example
4554 has 5 in the 2nd and 3rd place so cannot be this
4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine
Since the number is even then it is 4544
WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)
Answers
Answer:
The last one.
Step-by-step explanation:
For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.
The last graph is the only one that has that.
Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.
25 mi/h ≈ _______ft/s
Answers
There are 5280 feet to 1 mile, and 3600 seconds to 1 hour. So
(25 mi/h) × (5280 ft/mi) × (1/3600 h/s) = 110/3 ft/s ≈ 36.7 ft/s
Hi
1 mile is 5280 feet.
1 hours is 3 600 seconds
So 25 mi/h is 25* 5280 = 132 000 feets in 3 600 seconds.
So : 132 000 /3 600 = 1 320 / 36 =36.66
25 mi/h≈ 36.6666 ft/s
Find the point-slope equation for
the line that passes through the
points (7,-21) and (-4,23). Use
the first point in your equation.
y +[? ] = [ ](x + [ ])
Answers
Answer:
y+(21)=-4(x-7)
Step-by-step explanation:
the point slope equation , two point
m=y2-y1/x2-x1
m=23+21/-4-7=44/-11= -4
y+(21)=-4(x-7)
20. Which ordered pair is a solution to
y = 7x - 3?
A. (-2, -17) C. (2,7)
B. (-2, 11) D. (2, 14)
Answers
Answer:
A.
Step-by-step explanation:
Here's how to determine if a ordered pair is a solution to an inequality
Step 1. Take the ordered pair and substitute their x and y values to the inequality
Inequality: [tex]y=7x-3[/tex]
Ordered pair: [tex](-2,-17)[/tex]
Answer: [tex]y=7x-3[/tex]
[tex]-17=7(-2)-3[/tex]
Step 2. Solve
[tex]-17=7(-2)-3[/tex]
[tex]-17=-14-3[/tex]
[tex]-17=-17[/tex]
Therefore, [tex](-2,-17)[/tex] is a solution to the inequality
Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible? A)2 B)4 C)6 D)10
Answers
Answer:
A
Step-by-step explanation:
In order for the length of the pieces to be as great as possible, the number of pieces must be as small as possible. Jason can't keep the rope in one piece, that doesn't count as cutting the rope into pieces because he hasn't cut the rope. If there were 2 equal pieces, each piece would be 60 / 2 = 30 feet, and since 30 is an integer, the answer is 2.
Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)
Answers
Answer:
0
Step-by-step explanation:
Notice that the last factor is null (9×0)
So the result will be null since any number that is multiplied by 0 equals 0.
Find the angle between the Crocodile River and the road. Show your work, and round your answer to the nearest tenth of a degree. Need help ASAP.
Answers
Answer:
63.4°
Step-by-step explanation:
Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).
We are looking for the measure of the interior angle of the triangle at vertex (6, 7).
Call that angle, <A.
tan A = opp/adj
tan A = 6/3
A = 63.4°
The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The equation of the straight line that goes through the points (0, 4) and (6, 7),
First, let's calculate the slope:
m = (7 - 4) / (6 - 0) = 3/6 = 1/2
Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:
(y - 4) = (1/2)(x - 0)
y = (1/2)x + 4
Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.
Setting y = 0 in the equation above, we get:
0 = (1/2)x + 4
x = -8
So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).
The slope of the Serengeti Stream at (6, 7) is:
m = (7 - 4) / (6 - 0) = 1/2
The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:
m_perpendicular = -1/m = -1/(1/2) = -2
So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:
(y - 7) = (-2)(x - 6)
y = -2x + 19
The arctangent of the slope:
angle = arctan(-2)
angle ≈ -63.4° (CCW)
Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
Learn more about the right triangle here:
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Questions attached below ( *︾▽︾) Thanks for the help :)
Answers
Answer:
See below
Step-by-step explanation:
Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.
To create this equation we will need a regression calculator. The equation will be as follows.
y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )
(b) 2025 - 1900 = 126 years,
y = 0.125873(125) - 7.11916 = $ 8.614965
Minimum Wage : $ 8.614965
Attachment 2 : The rest of the problems can be solved similarly...
(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029
(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³
Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ
(b) 9.08292(1.09965)⁶⁰ = [tex]2713.27743\dots[/tex] ( About 2713 recommendations )
Help plz ASAP!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = lbh ( l is length, b breadth and h is height )
Here l = 7, b = 2 and h = 4 , thus
V = 7 × 2 × 4 = 56 in² → D
This data set is ages at first job. 14, 14, 16, 16, 17, 17, 18, 20, 21, 23 Construct a boxplot. Make sure to include labels.
Answers
Answer:
Please find attached the required box and whiskers plot
Step-by-step explanation:
The numbers are given in arranged order as follows;
14, 14, 16, 16, 17, 17, 18, 20, 21, 23
The five number summary are;
The minimum value = 14
The maximum value = 23
The first quartile, Q₁, is the (n + 1)/4th term or the 2.75th term = 14 + 0.75×(16 - 14) = 15.5
The second quartile, Q₂, (the median) is the (n + 1)/2th term or the 5.5th term = 17
The third quartile, Q₃, is the 3(n + 1)/4th term or the 8.25th term = 20 + 0.25×(21 - 20) = 20.25.
Help me please I need it
Answers
Answer:
Equation B.
Step-by-step explanation:
Subtract 4 from both sides in the equation 11r+4=55. You will see that it is equivalent to equation B.
45.55 to 1 decimal place
Answers
Answer:
45.6
Step-by-step explanation:
45.55
We want to round to the tenths place
we look at the hundredths place
.x5 Since the number in the hundredths place is 5 or greater, we round up 1
45.55 becomes 45.6
Answer:
the answer is 45.6
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
PLEASE HELP I NEED HELP ;(
Answers
Answer: second choice
Explanation:
all the answers are prime factorized, meaning that everything under the sign should multiply up to 180. the second answer, 2*2*3*3*5=180 works
PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5
o x>1/6
o x<1/6
o x>6
o x<6
Answers
Answer:
1/6 <x
Step-by-step explanation:
-2(8 x - 4) < 2x + 5
distribute
-16x+8 < 2x+5
Add 16x to each side
-16x+16+8 < 2x+16x+5
8<18x+5
Subtract 5 from each side
8-5 < 18x+5-5
3<18x
Divide by 18
3/18 <18x/18
1/6 <x
I think it migth be the first one
give me brainlieSt
it is 1/6
Gavin combines Thirty-two and two-fifths ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the most reasonable estimate for the amount of liquid in the pitcher? 39 ounces 42 ounces 45 ounces 47 ounces
Answers
Answer:
OPTION A is correct
39 ounces
Step-by-step explanation:
Given:
The amount of water in the pitcher= 32 ounces
The amount of lemon juice in the pitcher = 7.15 ounces
We were to calculate the most reasonable estimate for the amount of liquid in the pitcher
To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is
32 ounces + 7.15 ounces
=39.15 ounces
Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces
Give another name plane L
Answers
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO