Answer:
33.11
Step-by-step explanation:
Use the pythagorean theorem. 30^2 + 14^=z
Answer:
6 ounces of water
Step-by-step explanation:
In this question, we are asked to calculate the amount in ounce that would be added to the recipe.
From the question, we can see that the recipe requires 3/4 cups of water.
From the question also, we can also see that one cup equals 8 ounces.
Now to know the amount of water that is to be added, what we need to do is to simply multiply the fraction of water in the recipe by 8 ounces
This is equal to 3/4 * 8 = 6 ounces
Hence, she needs to add a total of 6 ounces of water to the recipe
Answer: 8000
Step-by-step explanation:
From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.
The number of bacteria that will be present in 3 weeks will then be:
= 10³ × 2^w
= 10³ × 2³
= 1000 × 8
= 8000 bacterias
Answer:
Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.
Step-by-step explanation:
We can rewrite the expression under the radical as

then taking the fourth root, we get
![\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cleft%28%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%29%5E4%7D%3D%5Cleft%7C%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%7C)
Why the absolute value? It's for the same reason that

since both
and
return the same number
, and
captures both possibilities. From here, we have

The absolute values disappear on all but the
term because all of
,
and
are positive, while
could potentially be negative. So we end up with
