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3 years ago

What’s the volume of the second container

Mathematics

1 answer:

Anna71 [15]3 years ago

8 0

Answer:

Option A: 18 cm^3 (volume of second cylinder)

Step-by-step explanation:

As we know that:

volume of cylinder 1 = πr^2h = 24 cm^3

According to given condition:

Height of second container is 3/4 of first container so,

volume = πr^23/4h

Take 3/4 common:

=3/4(πr^2h)

Put the volume of first cylinder in above formula:

= 3/4(24 cm^3)

By simplifying:

volume = 18 cm ^3

So the volume of second cylinder will be 18 cm^3

i hope it will help you!

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Y=x² + 16x + 64

motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

---------------------

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

---------------------

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>

8 0

3 years ago

13. Imagine that you are taking a class and your chances of being asked a question in class are 1% during the first week of clas

liberstina [14]

Answer: There is probability that he will be asked a question in class during Week 7 is 64%.

Step-by-step explanation:

Since we have given that

Probability that question in class being asked during Week 1 = 1%

Probability that question in class being asked during Week 2 = 2%

Probability that question in class being asked during Week 3 = 4%

and so on.

So, we need to find the probability that question being asked in class during week 7.

Since it forms geometric series:

1%, 2%, 4%, ........

So, we need to find the 7 th term:

$a_n=ar^{n-1}\\\\a_7=ar^{7-1}\\\\a_7=1(2)^6\\\\a_7=64\%$

Hence, there is probability that he will be asked a question in class during Week 7 is 64%.

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4 years ago

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk?

Sedaia [141]

Im wondering the same thing i have this question to

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3 years ago

Read 2 more answers

7/8 decided by 3/8 I will give you crown

Firlakuza [10]

Answer: it is 2 1/3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How would you write the following expression as a single term? 3[2 ln(x-1) - lnx] + ln (x+1)

Elan Coil [88]

Apply the rule: $n ln x = ln x^{n}$

$3[2 ln(x-1) - lnx] + ln(x+1)=3[ln(x-1)^{2} - lnx ] + ln(x+1)$

Apply the rule : $log a - log b = log \frac{a}{b}$

$3[2 ln(x-1) - lnx] + ln(x+1)=3ln\frac{(x-1)^{2} }{x} + ln(x+1)$

Apply the rule: $n ln x = ln x^{n}$

$3[ln (x-1)^{2} -ln x]+ln (x+1)= ln \frac{(x-1)^{6} }{x^{3} } +log(x+1)$

Finally, apply the rule: log a + log b = log ab

$3[ln(x-1)^{2} -ln x]+log(x+1)=ln\frac{(x-1)^{6}(x+1) }{x^{3} }$

3 0

4 years ago