1. Ratio between onions and tomatoes:
There are 3 onions and 4 carrots.
Therefore, required ratio is 3:4
2. Ratio between tomatoes to cups of chicken stock:
There are 6 tomatoes and 5 cups of chicken stock.
Hence, the required ratio is 6:5.
3. Sticks of butter to bananas:
There are 1 stick of butter and 2 bananas.
So, the required ratio is 1 to 2.
4. Teaspoons of salt to teaspoons of black pepper:
There are 2 teaspoons of salt and 1 teaspoon of black pepper.
Please refer attached figure.
5. Let's calculate the ratio of cups of chocolate chips to tomatoes.
There are 3 cups of chocolate chips and 6 tomatoes.
Hence, the required ratio is 3:6 and on simplifying, 1:2.
Given:
The given phrase is 16 seconds faster than Aya’s time.
To find:
The algebraic expression for the given phrase.
Solution:
Let x be the Aya’s time.
16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.
We know that a negative sign "-" is used for less than.
16 seconds less than Aya’s time = 
16 seconds faster than Aya’s time =
Therefore, the required algebraic expression is .
Answer:
henc X = 30°
Step-by-step explanation:
here is the proof
when X=30° then
sin2x = sin2×30
=sin 60°
= √3/2
or else,
putting value of X = 30° then
sin2x= 2sinxcosx
= 2×sin30°×cos30°
=2×1/2×√3/2
= 2√3/4
= √3/2
hence proved sin2x= √3/2.
1/9
Here's the proper explanation:
Since the vertex is (2,-1), the original equation will look like this: y=a*(x-2)^2-1
When the substitution happens we get to this:
0=a*(5-2)^2-1 then 1=a*(5-2)^2 -> 1=a*9
So, a=1/9! Written in another form:
1/9x^2-4/9x+4/9-1
Hope could help :)
Answer:The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1.
Step-by-step explanation :an opinion or conclusion formed on the basis of incomplete information.
