All categories

3 years ago

I need help please .....

Mathematics

2 answers:

Mashcka [7]3 years ago

8 0

Answer:

false .................

Step-by-step explanation:

Shkiper50 [21]3 years ago

8 0

Answer:

False-- it would be -5

Step-by-step explanation:

You might be interested in

The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6

Arlecino [84]

Answer:

$\approx \bold{6544\ in^3/sec}$

Step-by-step explanation:

Given:

Rate of change of radius of cylinder:

$\dfrac{dr}{dt} = +7\ in/sec$

(This is increasing rate so positive)

Rate of change of height of cylinder:

$\dfrac{dh}{dt} = -6\ in/sec$

(This is decreasing rate so negative)

To find:

Rate of change of volume when r = 20 inches and h = 16 inches.

Solution:

First of all, let us have a look at the formula for Volume:

$V = \pi r^2h$

Differentiating it w.r.to 't':

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)$

Let us have a look at the formula:

$1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))$

$3.\ \dfrac{dx^n}{dx} = nx^{n-1}$

Applying the two formula for the above differentiation:

$\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}$

Now, putting the values:

$\Rightarrow \dfrac{dV}{dt} = \pi \times 16\times 2\times 20 \times 7+\pi\times 20^2\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 22 \times 16\times 2\times 20 +3.14\times 400\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 14080 -7536\\\Rightarrow \dfrac{dV}{dt} \approx \bold{6544\ in^3/sec}$

So, the answer is: $\approx \bold{6544\ in^3/sec}$

3 0

2 years ago

X^4 - 17x^2 + 16<br> hhhhhhhhhhhhhhhhhhhhh

defon

Answer:

Step-by-step explanation:

If the question is to factorize

$x^4-17x^2+16\\\\x^4-x^2-16x^2+16\\\\=x^2(x^2-1)-16(x^2-1)\\\\=(x^2-1)(x^2-16)\\\\=(x+1)(x-1)(x-4)(x+4)\\$

5 0

2 years ago

Find x (btw if you answer randomly to just get point imma report ur acc)

seropon [69]

Answer:

x = 3

Step-by-step explanation:

..........................

3 0

3 years ago

Read 2 more answers

Which property explains why these two expressions are equal?

ratelena [41]

Re-written, I believe the equation is:

(W+23)+5=W+(23+5)

With this, the parenthesis have nothing multiplying into it, so we can drop the parenthesis to get:

W+23+5=W+23+5
Which is the same thing.

So I'd assume it is the Associative property, because you are combining the like terms of 23 and 5.

Hope this helps!

7 0

2 years ago

Three less than 5 times a number is less than or equal to 12. If the number is a whole number, what could the number be?:

PIT_PIT [208]

Answer:

Step-by-step explanation:

4x2=8

5x2=10

6x2=12

This answer is the closest to 12 but it doesn't go over 12, so this is less than or equal to 12

8 0

3 years ago