Answer:
Step-by-step explanation:
Let's assume
radius of cylinder as 'r'
height of cylinder as 'h'
so, we have
r=15ft
h=10ft
now, we can use volume of cylinder formula
we can find derivative with respect to t
now, we can plug values
now, we can simplify it
Answer:
20 guitars
Step-by-step explanation:
since 12 guitars is equivalent to 60% of the sales then you would divide the 12 guitars by .6 to get the total number of guitars sold
12/.6 = 20 guitars
4: im not sure how to solve this or how to get the answer
5:
Distribute the Negative Sign:
= 3x^2+2x−3+−1(4x^2−8x+23)
= 3x^2+2x+−3+−1(4x^2)+−1(−8x)+(−1)(23)
= 3x^2+2x+−3+−4x^2+8x+−23
Combine Like Terms:
= 3x^2+2x+−3+−4x^2+8x+−23
= (3x^2+−4x^2)+(2x+8x)+(−3+−23)
= −x^2+10x+−26
Answer:
−x^2+10x−26
6: Distribute the Negative Sign:
= −13n^2−3n−6n^4+−1(13n^2+11n−2n^4)
= −13n^2+−3n+−6n^4+−1(13n^2)+−1(11n)+−1(−2n^4)
= −13n^2+−3n+−6n^4+−13n^2+−11n+2n^4
Combine Like Terms:
= −13n^2+−3n+−6n^4+−13n^2+−11n+2n^4
= (−6n^4+2n^4)+(−13n^2+−13n^2)+(−3n+−11n)
= −4n^4+−26n^2+−14n
Answer:
=−4n^4−26n^2−14n
7: and in math means to add
Combine Like Terms:
=4y^3+−8y+−y^3+5
=(4y^3+−y^3)+(−8y)+(5)
=3y^3+−8y+5
Answer:
=3y^3−8y+5
8: Answer choice 3
−5x^2+5x−2
9: answer is −8y
i had this in my notes from a while ago on my laptop so please see the image on how to solve this!
i hope this helps a lot!
Answer:
P(A) = 5/12
P(B) = 1/2
Step-by-step explanation:
A) Sum greater than 7
If the sum needs to be >7, then it can be 8, 9, 10, 11, and 12.
There are 26 out of 36 events where the sum is >7, thus P(A) = 15/36 = 5/12.
B) Sum is even
If we see in an overview of the sum distribution, there is a balanced division between odd and even numbers, thus the probability is very likely to be 1/2. Now let's make sure of it:
If the sum needs to be even, which means divisible by 2, then it can be 2, 4, 6, 8, 10, and 12.
There are 18 out of 36 events where the sum is even, thus P(B) = 18/36 = 1/2.
Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3
Answers:
x = 41
y = 2
-----------------------------------------------------
AB = BC is given to us, shown by the single tick marks on those sides.
So we have an isosceles triangle
The base angles CAB and ACB are congruent
Therefore, angle ACB is also 49 degrees
Let z = measure of angle ABC
Focus on triangle ABC and add up the three angles 49, 49 and z. Set the sum equal to 180 and solve for z
49+49+z = 180
98+z = 180
98+z-98 = 180-98
z = 82
So angle ABC is 82 degrees. Cut this in half to get the value of x
x = measure of angle DBC
x = (1/2)*z
x = (1/2)*(angle ABC)
x = (1/2)*(82)
x = 41
We cut the angle in half because angle DBC and angle ABD are congruent angles (shown by the same angle marker)
Due to this fact, we can say that D is the midpoint of AC
So AD = DC leading to DC = 2
Therefore, y = 2
