Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.
The radius is 7
Answers
Step-by-step explanation:
Volume = 4/3 × \(\pi\) r³
Volume = 4/3 × 3.14 × 7 × 7 × 7
Volume = 1436.03 cm³
The volume of the sphere with a radius of 7 units is 457.33π cubic units
Volume of a sphereA sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:
V = 4/3πr^3
where:
r is the radius of the sphere:
Given the following
r = 7 units
Substitute the given parameters
V = 4/3(π) * 7^3
V = 4/3 * π * 343
V = 1372π/3
V = 457.33π cubic units
Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units
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Related Questions
4 x (58 x 25) = 4 x (25 x __) = (__ x __) x 58 = ____
(293 x 50) x 20 = 293 x (50 x __) = ___
Answers
Answer below:
4 x (58 x 25) = 4 x (25 x 58) = (25 x 4) x 58 = 5800
(293 x 50) x 20 = 293 x (50 x 20) = 293000
The required solutions would be below which are commutative Properties of Multiplication illustrated here:
4 × (58 × 25) = 4 × (25 × 58) = (25 × 4) × 58 = 5800
(293 × 50) × 20 = 293 × (50 × 20) = 293000
What is the Commutative Property of Multiplication?The commutative property of multiplication says that the result is unchanged by how we multiply the two integers.
If 3 and 7 are the numbers, then 3 × 7 = 21, and 7 × 3 is also equal to 21. Thus 3 × 7 = 7 × 3. Therefore, the commutative property holds true for the multiplication of numbers.
According Commutative Property of Multiplication,
4 × (58 × 25) = 4 × (25 × 58) = (25 × 4) × 58 = 5800
(293 × 50) × 20 = 293 × (50 × 20) = 293000
Hence, the numbers are commutative Property of Multiplication is illustrated here.
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A large container holds 5 gallons of water. It begins leaking at a constant rate. After 20 minutes, the container has 1 gallon of water left.
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Does the following relation represent a function, explain
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Answer:
No.
Step-by-step explanation:
In a function, two points CANNOT be directly above each other. In this case, (1,3) and (1,-2) are above each other.
Would you times it by 4 since it’s 4 sides??
Answers
Write the following expression in standard form: (7x – 5) – (3x – 2)
Answers
(7x and 3x)
using the same sign (subtraction)
4x
then (5 and 2) also still using the same sign (subtraction)
3
4x-3
Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom.
Find the area of the side. Explain or show your reasoning.
Answers
Answer:
30.7 it was correct for me so ya
The table below shows the relationship between the cost of renting a movie (in dollars) to the number of days the movie is rented.
Based on the table below is y proportional to x?
Answers
Use base 10 blocks to model the quotient then record the quotient 88 divided by 4
Answers
Answer:
Step-by-step explanation:
80+8
80/4=20
8/4=2 20+2=22
you have 8 tens and 8 ones
5u-8v+9(2u-3v)-4(2v-5u)
Answers
Answer:
The answer is 43u – 33v
Step-by-step explanation:
5u – 8v + 9(2u – 3v) -4(2v – 5u)
5u – 8v + 18u – 27v – 8v + 20u
5u + 18u + 20u – 8v – 27v – 8v
43u – 33v
Thus, The answer is 43u – 33v
-TheUnknownScientist 72
Answer:
43u
Step-by-step explanation:
1
Distribute
5u-8v+9(2u-3v)-4(2v-5u)
5u-8v+18u-27v-4(2v-5u)
2
Rearrange terms
5u-8v+18u-27v-42v-5u)
5u-8v+18u-27v-4(-5u+2v)
3
Distribute
5u-8v+18u-27v-4(-5u+2v)
5u-8v+18u-27v+20u-8v
4
Combine like terms
5u-8v+18u-27v+20u-8v
43u-8v-27v-8v
5
Combine like terms
43u-8v-27v-8v
43u-43u
Which of the following equations could you solve by first adding six and then dividing by negative three?
(A) 3x - 6 = -9
(B) 6 - 3x = -9
(C) -3x - 6 = -9
(D) \(\frac{x}{-3}\) + 6 = -9
Answers
Step-by-step explanation:
either c or d
yrs dj us whine ex set us wry hi
Tonya uses the greatest common factor and the distributive property to rewrite this sum:
96 + 36
Which expression does Tonya write?
18(5+2)
6(16+6)
12(8+3)
4(24+9)
Answers
Answer:
12(8+3)
Step-by-step explanation:
12x8=96
12x3=36
Also, 12 is the GCF
a. Survey 1 is biased.
b. There is no bias.
Answers
If the teachers asked randomly, then there is no bias.
Answer:
There is no bias since the teachers asked randomly what the students PREFERRED. You don't even need the table
Step-by-step explanation:
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
Explain:
How do we write algebraic expressions? ( You can explain which keywords tells you to add, subtract, multiply and divide) Give two examples.
Answers
Answer:
Step-by-step explanation:Before you can tackle complex word problems, you need to know how to translate simple problems into algebra. Generally, you'll do this by replacing the words with operators that mean the same thing. So for instance, four divided by x could be 4 ÷ x. ÷ and / are just two ways of writing divided. If you were to translate this word for word, you'd change the word times to a multiplication symbol (⋅) and put a plus sign (+) between the four and the two. Your expression would look like this:
can you guys help me thanks!!!
Answers
C=2*3,14*7in
C=43,96 in
So its the third answer
C=2πx7
=2x3.14x7
= 43.96 in
plz help me with the attachment
Answers
Answer:
Step-by-step explanation:
With respect to angle Ф in the right triangle shown:
the opposite side is the leg LP, and
the adjacent side is the leg LM, and
the hypotenuse is MP.
The "perpendicular" is the leg LP, in which case the "base" is LM. Notice that these two legs are perpendicular to one another.
Please help!! <3
Find the slope of the line.
The slope of the line is
nothing.
(Type an integer or a simplified fraction.)
Answers
It’s -3 and -6 or -6 and -3
Answer:
-1
Step-by-step explanation:
The line is decreasing from left oright, so it'll be negative. Count the lines going up from one point to the other to get the numerator (-6) and then the same thing going sideways to get the denominator (6) to get -6/6 which simplifies to -1
How should I write an equation for these lines?!?!?
Answers
Answer:
A= x=-4
B= x=4
C= y=4
D= y=-2
Step-by-step explanation:
Referring to the Fig, this sequence of toothpick figures has 6
toothpicks in Term 1, 11 toothpicks in Term 2, and 16 toothpicks in
Term 3. What rule can be used to find the number of toothpicks for
any term of the sequence?
a. term number × term number + 7
b. term number × 5
c. term number × 5 + 1
d. term number + 5
Answers
What is the answer? I wonder......
Answers
Answer:
3x + 6 = 7
Step-by-step explanation:
There are 3 boxes that represent x = 3x
There are 6 boxes that represent 1 = 6
There are 7 boxes that represent 1 = 7
I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based on the task! READ THE SCREENSHOT
Answers
Answer: You should do a representation of how the heat and light waves reach humans on earth and keep us warm.
Step-by-step explanation:
all your answers are already in the task introduction.
1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)
2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.
3. Use yellow pipe cleaners for solar energy to represent radiation.
4. Rest is up to you for how you want it to look.
George solved the equation -103 = -2(-7x + 7) + 8x as follows:
-103 = -2(-7x + 7) + 8x
Step 1: -103 = 14x + 7 + 8x
Step 2: -103 = 22x + 7
Step 3: -110 = 22x
Step 4: -5 = x
At which step did he make an error?
Explain the error:
Answers
-103 = -2(-7x + 7) + 8x
-103 = 14x - 14 + 8x
-103 = 22x - 14
-89 = 22x
x = -4
Step 2: -103 = 22x - 14
Step 3: -117 = 22x
Step 4: -5.31818182 = x
Triangles ABC and DEC are similar. Side DE is 1.8 feet, side EC is 4 feet, and side BE is 0.8 foot.
Part A: Describe how to draw triangles ABC and DEC separately. Be sure to give the lengths of sides BC, DE, and EC in the description.
Part B: Find side AB. Show each step of your work.
Answers
The lengths of sides BC, DE, and EC in triangle DEC are given as \(4\) feet, \(1.8 feet,\) and 0.8 foot, respectively. The length of side \(AB\) is approximately \(3.36\) feet.
What is the line segment?Part A:
To draw triangles \(ABC\) and \(DEC\) separately, follow the steps below:
Draw a straight line segment DE with length \(1.8\) feet.
From point D, draw a line segment DC perpendicular to DE with length 4 feet.
Connect point E and point C with a straight line segment EC.
From point B, draw a line segment BE perpendicular to BC with length 0.8 foot.
Draw a straight line segment BC that intersects line segment DC at point A.
Connect point A and point B with a straight line segment AB.
The lengths of sides BC, DE, and EC in triangle DEC are given as \(4\) feet, \(1.8 feet,\) and 0.8 foot, respectively.
Part B:
Since triangles \(ABC\) and \(DEC\) are similar, their corresponding sides are proportional. Let x be the length of side AB. Then we have:
\(AB/DE = BC/EC\)
Substituting the given values, we get:
\(x/1.8 = BC/0.8\)
Solving for BC, we get:
\(BC = 0.8x/1.8\)
Since BC and EC are the two legs of a right triangle DEC, we can use the Pythagorean theorem to find BC:
\(BC^2 + EC^2 = DE^2\)
Substituting the given values, we get:
\((0.8x/1.8)^2 + 4^2 = 1.8^2\)
Solving for x, we get:
\(x = 1.8 * (sqrt(1.8^2 - 4^2)) / 0.8\)
\(x \approx 3.36 feet\)
Therefore, the length of side \(AB\) is approximately \(3.36\) feet.
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The probability of Mrs. Galvan randomly selecting a black pen from the 20 pens in her drawer is 2/20. Which of the following describes the likelihood of selecting a black pen?
A. unlikely
B. likely
C. neither unlikely nor likely
Answers
Based on the given probability of 2/20 (0.1), the likelihood of selecting a black pen from Mrs. Galvan's drawer of 20 pens is best described as:
A. unlikely
Since there are only 2 black pens out of 20 total pens, the probability of randomly selecting a black pen is fairly low at 0.1 or 10%. Events with probabilities less than 0.5 (50%) are generally considered unlikely. Having only a 1 in 10 chance of an outcome makes that outcome unlikely.
B. likely
This option is incorrect. With a probability of 0.1 or 10%, selecting a black pen is unlikely, not likely. An outcome is considered likely if it has a probability of greater than 0.5 (50%).
C. neither unlikely nor likely
This option is also incorrect. While probabilities close to 0.5 could be described as neither unlikely nor likely, a probability of 0.1 is clearly on the unlikely side. Events with probabilities less than 0.5 are classified as unlikely.
In summary, given that there is only a 10% chance (2 out of 20) of randomly selecting a black pen from Mrs. Galvan's drawer, the likelihood of this outcome is best described as unlikely rather than likely or neither unlikely nor likely. A probability of 0.1 is well below the 0.5 threshold that would make an outcome considered likely. Therefore, the answer is A: unlikely.
Hope this explanation has helped clarify why A is the best choice! Let me know if you have any other questions.
Answer:
A. Unlikely
Step-by-step explanation:
Getting a black pen is lesser than the 50%, which is 10/20. Not more nor equal, so the answer is A, unlikely.
ASAP I NEED HELP this homework is already due but she said I have today to turn t in PLZ HELP ME here is the picture
Answers
Answer:
Step-by-step explanation:
There is not enough information to solve for x.
All we know is that the lines are parallel so the two inner angles will have the same angle measure.
And the angle measures are probably 90 degrees if the transversal (the line cutting through the two parallel lines) is perpendicular to the parallel lines
I hope this helps.
Play media comment. Find the missing value in the table.
Answers
May someone please help this is part of my grade. I take this really seriously and i need good answers :(
Answers
Describe why alternate interior angles are not always congruent?
Answers
Answer: Angles on opposite sides of a transversal, but inside the lines it intersects.
Step-by-step explanation:
6.3 Fractions and Decimals on a Number Line Activity: If in yesterday's activity lift off occurred at noon, then represent each of the following events on a number line. Represent each using a fraction or a mixed number. a. Radio Transmission: 10:30 A.M. b. space Walk: noP.M. c. Physical Exam: 4:45 A.M. d. Photograph Taken: 3:15 A.M. e. Float in the Cabin: 6:20 P.M. f. Eat Dinner: 8:40 P.M. (plot on number line)
Answers
Answer:
7
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18