Answer:
1.
2.543.6
Step-by-step explanation:
We are given that
y(0)=200
Let y be the number of bacteria at any time
=Number of bacteria per unit time
Where k=Proportionality constant
2.,y'(0)=100
Integrating on both sides then, we get
We have y(0)=200
Substitute the values then , we get
Substitute the value of C then we get
Differentiate w.r.t
Substitute the given condition then, we get
Substitute t=2
Then, we get
e=2.718
Hence, the number of bacteria after 2 hours=543.6
Answer:
15a^5b^15
Step-by-step explanation:
you multiply 5 and 3 to get 15, and then when you are multiplying exponents of variables, you actually add them, so a^2 times a^3 is actually a^5, and b^7 times b^8 is b^15. Because these are all multiplied together, you get the answer of 15a^5b^15.
We have that
the original (x,y) coordinates are being moved to the left by 3 units and up by 5 units.
therefore
the answer is the option
<span>(x, y) → (x – 3, y + 5)</span>
To solve this we are going to use the formula for the volume of a sphere:
where
is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,
. Lets replace that in our formula:
Now, the second diameter of our sphere is 36, so its radius will be:
. Lets replace that value in our formula one more time:
To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=
We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>
Answer:
Step-by-step explanation:
ok lets do thiiiiis
7+3963927 / 286 * 74 - 7^6 * 7^6
. first start with the exponets.
7+ 3963927 / 286 * 74 - 117649 * 117649
multiplication is next 286 * 74
now we got 7+ 3963927 / 21,164 - 13841287201 do the math and your left with
3963934 / 138141266037