A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?
Answer:
Volume left = 16π cm³ or 50.265 cm³
Step-by-step explanation:
Let's first find the surface area of the tennis ball.
S.A = (4/3)πr³
Radius of a ball = 2 cm
Thus;
S.A = (4/3)π(2)³
S.A = 32π/3
Since there are 3 radius balls that will make the cylinder full, then;
Surface area of 3 balls = 3 × 32π/3 = 32π
Now, formula for volume of cylinder is;
V = πr²h
r = 2 cm
h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)
Thus;
V = π × 2² × 12
V = 48π
Thus;
Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³
Ranking brainliest if correct
Answer:
Hello! answer: 18
Step-by-step explanation:
AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!
help me with this mathematics
Answer: B
Step-by-step explanation: 65/100 = 65%
What is The answer , what goes in the QR
may be QR also equal to 34
Circle P below, PC = 4 feet and m CD = 80°. Determine, to the nearest tenth, the area of the blue sector enclosed by
Answer:
11.2square feet
Step-by-step explanation:
Area of a sector = theta/360 * πr²
theta is the central angle = 80degrees
radius r = PC = 4ft
Substitute
Area of the sector = 80/360 * 3.14 * 4²
Area of the sector = 80/360 * 3.14 * 16
Area of the sector = 4,019.2/360
Area of the sector = 11.2ft²
Hence tthe area of the blue sector is 11.2square feet
A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
Help someone plsss!!!!!!!!!!
Answer:
150 degrees.
Step-by-step explanation:
We know, 1 Hour angles = 15 Degrees
So, 10 hour walking = 10*15 = 150 degrees
Hope this will help. Please mark me brainliest.
The graph shown below represents the rate at which water drains from a tank once the drain is opened which statement correctly describes the graph
A. The water is draining at constant rate of 1/2 gallon per minute, and the tank contained exactly 14 gallons when the drain opened
B. The water is draining at a constant rate of 2 gallons per minute,and the tank contained exactly 14 gallons when the drain was opened
C. The water is draining at a constant rate of 5 gallons per minute, and the tank contained exactly 14 gallons when the drain was opened
D.the water is draining at a constant rate of 14 gallons per minute, and the tank contained exactly 1/2 gallon when the drain was opened
Answer:
A
Step-by-step explanation:
The slope is -1/2 and the y-intercept is 14
HELPPPPP PLEASE !!!!!
Answer:
4th option 0,5,10,15
Step-by-step explanation:
Let's check if the first choice is geometric.
2*3 = 6. is 6*3 = 18, yes! is 18*3 = 54. Yep! its geometric
the second option multiplies by -2, it is geometric
the third option multiplies by 1/5, it is geometric
The fourth option does not multiply by anything common, it is Not geometric
Answer:
0,5,10,15 is not the sequence of geometric.
Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.
Step-by-step explanation:
This is totally correct!
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Answer:[tex]18+1.5c[/tex]
Step-by-step explanation:
Given
A large cheese pizza costs $18
Each topping add on costs $1.50
for c toppings added, the prize becomes
[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]
helpppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Step-by-step explanation:
The left side represent the tens place of the number, and the right side represent the one sides of the number. So the numbers are
12,12,13,14,18,19,19, 20,23,26,27,31,31,31,32,34,41,44,45,48.
a. There are 20 terms so this equation 20/2=10 means the 10th term will be the median. make sure to also include the number 11th term becuase the number of terms is even. The 10th and 11th term are 26,27 so the median is the midpoint.
[tex] \frac{26 + 27}{2} = 26.5[/tex]
The median is 26.5
b. The range is maximum value minus minimum value.
[tex]48 - 12 = 36[/tex]
c. The mode is the number that appear the most
That number is 31.
d. 20 students took apart of this survey.
Calculate the measure of angle P:
Answer:
122.3 degrees
Step-by-step explanation:
To get the measure, we use the appropriate method
The method we are going to use here is the cosine rule
We have the general form as;
a^2 = b^2 + c^2 -2bc Cos A
where a = 25
b = 9 and c = 19
Substituting these values;
25^2 = 9^2 + 19^2 - 2(9)(19) Cos A
183 = -342 cos A
cos A = -183/342
cos A = -0.54
A = arc cos -0.54
A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65
= 122.35
Calcula el porcentaje de sal de mesa o cloruro de sodio que contiene una disolución que se preparó con 5 gramos de cloruro de sodio y 95 gramos de agua.
Answer:
inglese please
Step-by-step explanation:
12. The local regional transit authority of a large city was interested in determining the mean
commuting time for workers who drive to work. They selected a random sample of 125
workers who drive to work and asked them how long they spent commuting to work in
minutes). A 95% confidence interval was constructed and reported as (27.74, 30.06).
(a) Show that the conditions for calculating a confidence interval for a mean are satisfied.
(b) Interpret the interval in the context of this problem.
1. We conclude that the conditions for calculating a confidence interval for a mean are satisfied.
2. Since interval was constructed and is reported, we assume that distribution of the sample mean is normal.
Do the conditions for a mean confidence interval calculation hold?Let x be the sample mean
Let s be the sample standard deviation
Let n be the sample size
Let α be the significance level
Let Z be the standard normal distribution value.
To determine if conditions for calculating confidence interval for a mean are met, we have to check the followings:
1. Random sampling:
The sample of 125 workers was selected randomly.
2. Independence:
We assume that each worker's commuting time is independent of each other.
3. Sample size:
n = 125 > 30. This satisfies the condition for the central limit theorem to apply.
4. Normality:
The 95% confidence interval was constructed using the formula x ± Zα/2(s/√n).
Since interval was constructed and is reported, we can assume that the distribution of the sample mean is approximately normal. Therefore, we can conclude that the conditions for calculating a confidence interval for a mean are satisfied.
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can someone help please??
Answer:
The scores in order from least likely to most likely is 8, 3, 4, and 5.
Step-by-step explanation:
1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8
You will get:
2 (1/16)
3 (2/16)
4 (3/16)
5 (4/16)
6 (3/16)
7 (2/16)
8 (1/16)
2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).
3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.
Josh makes a $1500, 5% simple interest personal loan to his friend Sean for a period of 8 years. When Sean settles his loan at the end of the 8 years, how much money, in total, must he pay Josh? The formula for simple interest is I = prt.
Answer:
$2100
Step-by-step explanation:
I = prt
I = $1500(0.05)(8)
I = $1500(0.4)
I = $600
$1500 + $600
= $2100
for a family with 6 children what is the probability that they have exactly one boy and 5 girls
Answer:
Ok so the probability would be 16%(can be round to)
Step-by-step explanation:
pls telll/pls tell pls tell pls tell
Answer: 2
Step-by-step explanation:
Given
The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]
According to the remainder theroem
[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]
Put [tex]x=1[/tex] in the polynomial to get the remainder
[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]
So, we get the remainder 2.
evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5
Answer:
17
Step-by-step explanation:
Given
4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression
= 4(0.25 + 5) - 8(0.5)
= 4(5.25) - 4
= 21 - 4
= 17
9.2\times 10^{-3}-1.3\times 10^{-3}
9.2×10
−3
−1.3×10
−3
Answer:
73
Step-by-step explanation:
9.2 x 10 - 3 - 1.3 x 10 - 3
92 -3 - 13- 3
73 is the answer if that the question
Answer:
[tex](9.2 \times {10}^{ - 3}) - (1.3 \times {10}^{ - 3} ) \\ \\ = { \tt{(9.2 - 1.3) \times {10}^{ - 3} }} \\ \\ = { \tt{7.9 \times {10}^{ - 3} }}[/tex]
How many three digit numbers greater than 540 can be formed using the digits
0,2,4,5,6,8 ?
Answer:
Step-by-step explanation:
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
help please hurryyyy!!! help pls hurry
Answer:
3 is 18
4 is 14
5 is 10
6 is 6
I hope this helps
Please someone help i'm struggling with this work!
Answer:
5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3
Step-by-step explanation:
It is abe
What is the basic unit of time? What is the relationship between time and sound in music? please help im desperate
Which pair of angles is complementary?
V
31°
56°
699
340
o
20. Write an expression in simplest radical form to represent the area of the rectangle below.
I need a plain answer please, don't write a paragraph explaining, thank you.
Answer:
Just add them up and you will get this answer
Step-by-step explanation:
Just add them up and you will get this answer
The area of the given rectangle in simplest radical form is [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
What is perimeter ?Perimeter is the sum of all the sides of any given 2D plane figure except circle.A circle has a perimeter or circumference of 2πr.
According to the given question we have to write an expression in simp[lest radical form that represents the area of the rectangle.
We know area of a rectangle is product of it's length and width.
Given length is = [tex]\sqrt{2x} + \sqrt{15x}[/tex] and width is = [tex]2\sqrt{5x}[/tex].
∴ The area of the rectangle will be = [tex](\sqrt{2x} + \sqrt{15x})[/tex][tex](2\sqrt{5x})[/tex] .
= [tex]2\sqrt{10x^2}[/tex] + [tex]2\sqrt{75x^2}[/tex].
= [tex]2x\sqrt{10} + 2x\sqrt{75}[/tex].
= [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
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if the volume of a sphere is 36 pi cubic inches, what is the radius?
Answer:
r = 3 in
Step-by-step explanation:
The volume (V) of a sphere is calculate as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here V = 36π , then
[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )
4πr³ = 108π ( divide both sides by 4π )
r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )
r = [tex]\sqrt[3]{27}[/tex] = 3
