The volume of a sphere is directly proportional to the radius cube thus with an increase in the radius it will increase so option (A) is correct.
What is the sphere?A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.
For example, if you have a sphere of radius r then its surface area will be 4πr² and
The volume of a sphere with radius r is given as (4/3)πr³.
V ∝ r³
By increasing the radius r the volume V will rapidly increase.
Hence "Because the volume of a sphere is precisely proportional to the cube of its radius, it will grow as the radius grows".
For more about a sphere,
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22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:
Answer:
11 million
Step-by-step explanation:
20 -12 +3 = 11
There will be 11 million shares of stock in the treasury.
Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?
Answer:
12.5%
Step-by-step explanation:
I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.
I need help please I can’t fail this
Answer:
200
Step-by-step explanation:
200 - 35% = 130
130 + 70 = 200
Mrs. Harris treated her 1st period with donuts for averaging the highest on the midterm exam. She bought 25 donuts, By the end of the period, there were 3 donuts remaining. What is the percent decrease?
Answer:
88% decrease
Step-by-step explanation:
3 is only 12% of 25 so there was a 88% decrease
can you find the error?
Both step 1 and step 2 were correct with the process of moving the value of x into the place of x and continuing to solve. However, step 3 is incorrect because when it is a negative value being subtracted by another negative value, it remains a negative. So the answer is -14 instead of 14.
Answer:
-32 - 8 = -40
Step-by-step explanation: basicly for 1 instead of putting 3 and 2 together he multiplyed then minus 8
then for 2 he did -6 and -8
then: 14............
HELP PLS, ill reward w brainlist or whatever those things r JUST HELP
Answer:
I am not exactly sure of the answer, i am just trying to help
I think the angle O is 135
The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.
I dont know if you understan what i am trying to say
Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?
Answer:
6 pounds
Step-by-step explanation:
3/8×8/1=24/8=3
6/1×1/2=6/2=3
3+3=6
can you help me solve
Answer:
A
Step-by-step explanation:
2^2 - 2 = 2
3^2 - 2 = 7
1^2 - 2 = -1
-1^2 - 2 = -1
help i dont know how to do the rest of this homework
Answer:
Step-by-step explanation:108 divided by 12 equals 9 so nine feet next to 108 inches.
and nine divided by 3 is 3 so nine yards in the row with 108 inches.
360 divided by 12 which is 30 so 30 feet in the row with 360 inches.
90 feet divided by three so 30 so 30 yards in the row with 360 inches.
24 inches equals 2 feet
double this length is 48 inches or 4 feet
so in all he cut 6 yards and since he only had three yards you will still have 3 yards left over.
I need help asap!! pls pls PLS help
Answer:
Step-by-step explanation:
It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.
2 + 2 = ?
1 + 1 = ?
6 - 3 = ?
Answer:
4
2
3
Step-by-step explanation:
Answer:
4
2
3
Step-by-step explanation:
2+2=4
1+1=2
6-3=3
welcomeeee:)
458 divided by 31 using compatible numbers
14.77
458 / 31 = 14.77
It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.
Answer: 14
Step-by-step explanation:
0 1 4
3 1 ⟌ 4 5 8
- 0
4 5
- 3 1
1 4 8
- 1 2 4
2 4
7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term
Answer:
The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4
Step-by-step explanation:
Estimate 47 divided by 1/2
Answer : 94
Step by Step :
47/0.5=94
Would I use subtraction for this problem ?
Answer:
Tim has 224 blue marbles.
Step-by-step explanation:
32 × 7 = 224
He has 7 times as many as Malanie (32)
I hope this helps!!!!
y= -4x - 7
Please help
Answer:
- 4x-7: m=-4
Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)
1/3x+80=1/2x+120 what’s the answer??
Answer:
−240
1/3x+80=1/2x+120
What is the mean , median , and sum
Step-by-step explanation:
sum was the first name of integral
and the median is something in the middle
for example :
A . B . C
the median is B
Can you help me w this
x/3-2=6
+2
x/3=8
*3
x=24
x/5+1=5
-1
x/5=4
*5
x=20
Answer:
Step-by-step explanation:
a)
(x / 3) - 2 = 6
add 2 to both sides
x / 3 = 8
multiply both sides by 3
x = 24
b)
(x / 5) + 1 = 5
subtract 1 from both sides
(x / 5) = 4
multiply both sides by 5
x = 20
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 6 and b = 12.
Step-by-step explanation:
6²+12²
36 + 144 is 180
c=√180
The length of the hypotenuse is the square root of 180.
What is a length?Length is defined as the measurement or extent of something from end to end.
Consider a right-angled triangle of two leg sides (a and b), and c is the third side (hypotenuse).
Given that a = 6 and b = 12,
The Pythagorean theorem states that
c^2 = a^2 + b^2
i.e. c^2 = 36 + 144
c^2 =180
Hence, the length of hypotenuse is square root of 180.
To learn more about length, use the link given below:
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Ms.Gómez ran 3/5 of a mile in 5 minutes. Mr. Hernández ran 3/5 of a mile in 3 minutes. How far did Ms gomez and mr Hernandez each run in 1 minute?
Show work or explain
Answer:
Ms G ran 3/25 mile per minute
Mr H ran 1/5 mile per minute
Step-by-step explanation:
Ms G:
create a proportion from mile/minutes = mile/minutes
let 'm' = amount of miles
3/5÷5 = m÷1
cross-multiply to get:
3/5 = 5m
m = 3/5 × 1/5 = 3/25
Mr H:
3/5÷3 = m÷1
cross-multiply to get:
3/5 = 3m
15m = 3
m = 3/15 or 1/5
In this triangle, cosA/cosB=
Answer:
1
Step-by-step explanation:
In sohcahtoa:
Cos (c) = adjacent (a) / hypotenuse (h)
cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24
cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well
Therefore, cosA = cosB
cosA/cosB = cosA/cosA = 1
Three times the sum of a number and 7 is equivalent to 57.
Answer:
3(x+7)=57
Step-by-step explanation:
3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.
-hope it helps
Equivalent expressions are expressions that have the same values.
The expression is [tex]3(x + 7) = 57[/tex] and the number is 12
Represent the number with x.
So, the sum of a number (x) and 7 would be represented as: x + 7
Three times the sum would be represented as: 3(x + 7)
This expression is equivalent to 57.
So, we have:
[tex]3(x + 7) = 57[/tex]
Divide both sides of the equation by 57
[tex]x + 7 = 19[/tex]
Subtract 7 from both sides of the equation
[tex]x + 7 - 7 = 19 - 7[/tex]
[tex]x = 12[/tex]
Hence, the number is 12
Read more about equivalent expressions at:
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y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros
Please help me! No links, cheaters, or rude comments please!
Answer:
hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose
Step-by-step explanation:
Answer:
a and d is correct I did the test and got 100 .
Pls answer will give brainiest
Answer:
8/15
Step-by-step explanation:
1/5 + 1/3 = 3/15 + 5/15 = 8/15
What is -27/8×7/10
Because odbeoqhqbebebsns
The answer to this problem is going to be -2.3625
What is the equation for the graph shown?
Answer: y=2/3x+4
Step-by-step explanation:
this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.
going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.
let’s plug this into our equation. Y=2/3x +b
lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.
our final equation is: y=2/3x +4
i hope this is helpful.
The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?
Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?
Answer: 5/8
Step-by-step explanation:
To do this you have to add the weight of each purchase
[tex]\frac{1}{4} +\frac{3}{8}[/tex]
But in order to add them together, there has to be a common denominator.
In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:
[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]
Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.
[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]