Four spheres of radius 6cm just fit inside a cylinder. Calculate the volume inside the cylinder that is empty. Leave your answer in the terms of pi

Answer:

(C) 8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01

Step-by-step explanation:

8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01=

80,000 + 3,000 + 700 + 30 + 4 + 0.2 + 0.01=

83,734.21.

I hope this helps!

Answer: Hello! My guess would be 7. Sorry, if I'm wrong.

Step-by-step explanation: Count the jumps between A and C.

Answer:

Step-by-step explanation:

Given that they give us how many seats are in the last row we know that each row contains 56 seats and we have 46 rows. If you multiply 56 by 46 you get 2,576. If a seat is added to each row there are 46 seats you must add to 2,576. This will make your answer 2,622

Answer: [tex]16a + 20[/tex]

Step 1: Combine Like Terms.

We have no Like Terms here, so we will leave the equation how it is.

If we leave the equation how it is, we still get [tex]16a + 20[/tex].

Therefore, our answer is still 16a + 20

Step-by-step explanation:

a=

[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]

Answer: 1 1/2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

becuses look at where the slope intersecs the y axis. Its -5

EZ

Answer:

its

3.6

Step-by-step explanation:

trust me

Answer:

omg this is so eaasy like u need tia tammera

Step-by-step explanation:

Answer:

$33(the answer is $33)

[tex]\dfrac{1}{8}\cdot \dfrac{1}{8} = \dfrac{1}{8^2} = \left(\dfrac{1}{8}\right)^2 = \left(\dfrac{1}{8}\cdot 1\right)^2 = \left(\dfrac{1}{8}\cdot \dfrac{2}{2}\right)^2 = \left(\dfrac{2}{16}\right)^2[/tex]

Answer:

The answer is B

Step-by-step explanation:

The formal is A = a+b/2 time h

You just substitute the variables and get the answer

Answer:

32 degrees

Step-by-step explanation:

The total angle formed is 90 degrees because there is a right angle.

So, 90 - 58 = g

      32 degrees = g

Answer:

31

Step-by-step explanation:

31

Answer:

2:1

Step-by-step explanation:

average age of both = 40

average age of teachers = 35

average age of professors = 50

35 + 35 + 50 = 120

120 / 3 = 40

Answer:2869

I kno :)

Answer:

24

Step-by-step explanation:

Put it in Desmos, and it’ll show you

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -0.5x² + 16x – 96

The function represents the height of a rocket as a function of its horizontal position.

It is reasonable to assume that the rocket is launched from the ground

(x = 0) and that it has some minimum height (above ground level) before it is launched.

Now,

We can find this minimum height by finding the vertex of the parabola, which is given by.

x = -b / (2a)

where a = -0.5 and b = 16.

Plugging in these values, we get.

x = -16 / (2(-0.5))

x = 16

Now,

The vertex occurs at x = 16.

To find the minimum height, we can plug this value into the function.

f(16) = -0.5(16)² + 16(16) - 96

       = 128

Therefore,

The rocket has a minimum height of 128 feet above ground level before it is launched.

To find the reasonable domain of the function.

Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.

Now,

We can find the x-value where the rocket reaches ground level

(i.e., its height is zero) by setting f(x) = 0.

Solving for x.

-0.5x² + 16x - 96 = 0

Using the quadratic formula.

x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))

x = ( -16 ± √(1216) ) / (-1)

x ≈ 24.7 or x ≈ 7.3

Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.

Therefore,

The reasonable domain of the function is 8 ≤ x ≤ 24.7

This means,

The rocket will remain above ground level for all values of x between 8 and approximately 24.7.

Thus,

The reasonable domain of the function is 8 ≤ x ≤ 24.7.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

never

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

17 = 9 + 2r   subtract both sides by 9

8 = 2r          divide both sides by 2

4 = r

Answer:

r=4

Step-by-step explanation:

You have to get r on one side so you subtract nine on both sides to get rid of it so 8=2r

then you divide 2 m both sides and r=4

Answer: It would take the turtle a total of 4 hours to swim 10 kilometers

Step-by-step explanation:

3 × 10 = 30

30 ÷ 7.5 = 4

Answer:-2(9+32n)

Step-by-step explanation:

Answer:

a. 10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. 0.2457 = 24.57% probability 10 of the problems can be resolved today

c. 0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today

d. 0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Step-by-step explanation:

For each case, there are only two possible outcomes. Either they are solved, or they are not. Cases are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

It can resolve customer problems the same day they are reported in 80% of the cases.

This means that [tex]p = 0.8[/tex]

Sample of 13 cases:

This means that [tex]n = 13[/tex]

a. How many of the problems would you expect to be resolved today? What is the standard deviation?

Expected:

[tex]E(X) = np = 13*0.8 = 10.4[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{13*0.8*0.2} = 1.44[/tex]

10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. What is the probability 10 of the problems can be resolved today?

This is [tex]P(X = 10)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]

0.2457 = 24.57% probability 10 of the problems can be resolved today.

c. What is the probability 10 or 11 of the problems can be resolved today?

This is [tex]p = P(X = 10) + P(X = 11)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]

[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]

[tex]p = P(X = 10) + P(X = 11) = 0.2457 + 0.2680 = 0.5137[/tex]

0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today.

d. What is the probability more than 10 of the problems can be resolved today?

This is

[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]

[tex]P(X = 12) = C_{13,12}.(0.8)^{12}.(0.2)^{1} = 0.1787[/tex]

[tex]P(X = 13) = C_{13,13}.(0.8)^{13}.(0.2)^{0} = 0.0550[/tex]

[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) = 0.2680 + 0.1787 + 0.0550 = 0.5017[/tex]

0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Answer:

6.25 is the answer, I really dfon't know how to figure out which would be the procedure becuase I'm a little oxidated

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex],0)

Answer:

240

Step-by-step explain

so

k = 2640/11 = 240

2640/240 = 11

Answer:

Option b

Step-by-step explanation:

According to the property of rhombus at Centre it have 90°

So,

[tex](5x - 10) {}^{o} = 90 {}^{o} [/tex]

[tex]5x = 90 + 10[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5} [/tex]

[tex]x = 20[/tex]

Hope this helps u ^_^

Answer:

y=3

Step-by-step explanation:

-12+6=-6

-6/-2=3

Answer:

X = 10

Step-by-step explanation:

According to the property of parallelogram

We know that, sum of angles at a same line is

180°

[tex]35 + (14x + 5) = 180[/tex]

[tex]40 + 14x = 180[/tex]

[tex]14x = 140[/tex]

[tex]x = \frac{140}{14} [/tex]

[tex]x = 10[/tex]

Hope this helps u... ^_^❤️

Answer:

B

Step-by-step explanation:

This is a straight line which the interior and exterior angle, so they both must add up to 180 degrees.

180 - 60 = 120

120 = 4x + 20

100 = 4x

25 = x

the bottom one is x2 ....