Answer:
Step-by-step explanation:
one batch= 12 cookies
each batch needs 0.4 cups sugar and 0.01 cups of cinnamon
Lily needs to bake 6 batches, she will need
0.4 cupsx6=2.4 cups of sugar
0.01x6=0.06 cups of cinnamon
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
Answer:
the answer is in the image attached
Hope this helps
Answer:
1.2
Step-by-step explanation:
the slope is 1.2
full formula is y=6/5x+1.2
Answer:
Option D. The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation:
We are given points in a graph as:
x y common difference
1 1
2 4 4-1=3
3 9 9-4=5
4 16 16-9=7
5 25 25-16=9
Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:
y=f(n)=n² where n=1,2,3,4,5,.....
Hence, the following sequence is not an arithmetic sequence as the common difference is different.
( Common difference is the difference in the y-value from it's preceding y-value)
Hence, option: D is the true option.
D. The sequence is not arithmetic because the terms do not have a common difference.