32-3 which is 29 Im pretty sure
Answer:
The correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Step-by-step explanation:
Consider the provided information.
Point P on the number line shows Lara's score after the first round of a quiz:
Point P is shown on 3.
That means after the first round her total was 3.
In round two, she lost 4 points.
Therefore, she score −4 points in 2nd round
To find the total points at the end of round 2, we need to add -4 to 3.
3+(−4)=−1
Here −1 is 4 units to the left of 3.
Hence, the correct group of answer is D) 3 + (−4) = −1, because −1 is 4 units to the left of 3
Answer:
9 miles
Step-by-step explanation:
use Pythagoras theorem
15 squared - 12 squared = 81
square root of 81 is 9
Consider the closed region

bounded simultaneously by the paraboloid and plane, jointly denoted

. By the divergence theorem,

And since we have

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have




Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by

, we have

Parameterize

by


which would give a unit normal vector of

. However, the divergence theorem requires that the closed surface

be oriented with outward-pointing normal vectors, which means we should instead use

.
Now,



So, the flux over the paraboloid alone is
The answer is A.) 5x+8y≤120
To get this answer the first thing I did was notice what it says the x and y variables stand for. The "x variable represents the number of breadsticks purchased" and "the y variable represents the number of pizza pies purchased". It also says that each breadstick is $5 and each pizza pie is $8. Accordingly, we need to match our variables with what we're buying. So, the y be with 8 and the x be with 5.
So, our expression will have a 5x and an 8y in it.
Now if we notice, it says he can spend no more than $120, so that means he can spend $120 or less. The less than or equal to sign is ≤.
Now we can find our answer. The only answer with 5x and 8y with a ≤120 is answer choice A
Hope this helped!! :))