Ask question

Ask question

All categories

3 years ago

5

Help pls i have a D in math rn i really need help if you could :(

2 answers:

Flauer [41]3 years ago

3 0

Answer:

If it is talking about the 0 in the center of the graph,it is called the origin

Step-by-step explanation:

Gnom [1K]3 years ago

3 0

The Answer is origin

You might be interested in

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

$V = \frac{1}{3}\pi r^{2}h$

Differentiate the equation with respect to time t, such that

$\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)$

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)$

To differentiate the product,

Let r² = u, so that

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)$

Then, using product rule

$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

Since $u = r^{2}$

Then, $\frac{du}{dr} = 2r$

Using the Chain's rule

$\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}$

∴ $\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]$

Then,

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

Now,

From the question

$\frac{dr}{dt} = 7 m/min$

$\frac{dV}{dt} = 236 m^{3}/min$

At the instant when $r = 99 m$

and $V = 180 m^{3}$

We will determine the value of h, using

$V = \frac{1}{3}\pi r^{2}h$

$180 = \frac{1}{3}\pi (99)^{2}h$

$180 \times 3 = 9801\pi h$

$h =\frac{540}{9801\pi }$

$h =\frac{20}{363\pi }$

Now, Putting the parameters into the equation

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

$236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]$

$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

$708 = 30790.75 \frac{dh}{dt} + 76.36$

$708 - 76.36 = 30790.75\frac{dh}{dt}$

$631.64 = 30790.75\frac{dh}{dt}$

$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

Hence, the rate of change of the height is 0.021 meters per minute.

3 0

3 years ago

Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46% of his collection. How man

Anit [1.1K]

Given that Nicholas has a 115 fantasy and science fiction books which is 46% of his collection.

Now we have to find what is total number of books in his collection.

Let number of books in Nicholas collection = x

then number of fantasy and science fiction books = 46% of x = 0.46x

We already know that he has 115 fantasy and science fiction books, so both values will be equal and give equation:

0.46x=115

now we can solve this equation to find the answer.

$x=\frac{115}{0.46}$

x= 250

Hence final answer is:

Nicholas has 250 books in his collection.

6 0

3 years ago

Read 2 more answers

If Jose's present age is 3n, how old will he be in 5 years?

KatRina [158]

Answer:

3n + 5

Step-by-step explanation:

You can't add 5 to 3n. So in 5 years he will 3n + 5.

7 0

3 years ago

alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. which expression represents the total amount that alexi

Alexeev081 [22]

He is leaving 20% tip of the bill of $58

20% extra

So total amount = 100% + 20% = 120%

120% of 58

(120/100) * 58

1.2 * 58

= 69.6

So total amount Alexi needs to pay = $69.60

8 0

3 years ago

Read 2 more answers

When you flip a biased coin the probability of getting a tail is 0.41.

harina [27]

It would be 0.59. :))

8 0

2 years ago