Answer:
x= -2.27
Step-by-step explanation:
(0.6)(x+4)=1.04 divide both sides by 0.6
x+4=1.73 subtract 4 on both sides
x= -2.27
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula

Differentiate the equation with respect to time t, such that


To differentiate the product,
Let r² = u, so that

Then, using product rule
![\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5Bu%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20h%5Cfrac%7Bdu%7D%7Bdt%7D%5D)
Since 
Then, 
Using the Chain's rule

∴ ![\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5Bu%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20h%28%5Cfrac%7Bdu%7D%7Bdr%7D%20%5Ctimes%20%5Cfrac%7Bdr%7D%7Bdt%7D%29%5D)
Then,
![\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5Br%5E%7B2%7D%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20h%282r%29%20%5Cfrac%7Bdr%7D%7Bdt%7D%5D)
Now,
From the question


At the instant when 
and 
We will determine the value of h, using





Now, Putting the parameters into the equation
![\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5Br%5E%7B2%7D%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20h%282r%29%20%5Cfrac%7Bdr%7D%7Bdt%7D%5D)
![236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]](https://tex.z-dn.net/?f=236%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5B%2899%29%5E%7B2%7D%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20%28%5Cfrac%7B20%7D%7B363%5Cpi%20%7D%29%20%282%2899%29%29%20%287%29%5D)
![236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]](https://tex.z-dn.net/?f=236%20%5Ctimes%203%20%3D%20%5Cpi%20%5B9801%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%2B%20%28%5Cfrac%7B20%7D%7B363%5Cpi%20%7D%29%201386%5D)






Hence, the rate of change of the height is 0.021 meters per minute.
For two shots Pedro has four outcomes:
<u>1 shot | 2 shot</u>
score | score
score | not score
not score | score
not score | not score
The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:
1. 0.3·0.3=0.09;
2. 0.3·0.7=0.21;
3. 0.7·0.3=0.21;
4. 0.7·0.7=0.49.
In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.
Answer: 0.09.
Answer:
you would solve using x and y intercepts.
Step-by-step explanation:
for the X intercept, Y=0
3x=-18. you divide by three on both sides
x=-6. (-6,0)
the for the y intercept, X=0
+9y=-18. you divide 9 on both sides.
y=-2. (0,-2)
then you graph both and connect the points on the x and y axis.
Brainiest always accepted!!!!1
Answer:
2 more muffins
Step-by-step explanation:
<em>Since, </em>
<u><em>Given that:</em></u>
<em>Laila made 12 Muffins</em>
<em>Shannon made 10 Muffins</em>
<u><em>Question to Answer:</em></u><em>
How many more did Laila make?</em>
<u><em>Solve:</em></u>
<em>Since it asking how many more laila made that means we have to subtract to find how many more laila has.</em>
<em>As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:</em>
<em>Laila Muffins - Shannon Muffins</em>
<em>Which also means:</em>
<em>12 - 10</em>
<em>Which,</em>
<em>12 - 10 = 2</em>
<em>Hence, Laila makes 2 more Muffins than Shannon</em>
<em />
<u><em>Kavinsky</em></u>