Step-by-step explanation:
If 3ml of water = 1 part milk
12ml of water = x
3x=12
3x/3=12/3
Cancelling out by 3
x=4
Therefore she will need 4 part milk to make the recipe.
Since 4>1, this represents exponential growth.
Answer:
The given function is
Which is a parabola concave down with vertex at the origin of the coordinate system.
If the width of the arch is 800 feet, that means 400 feet on negative side and 400 feet and positive.
The image attached shows the graph of this parabola, where you can see the points for each extreme of the arch.
Notice that each point of the base of the arch is at y = -200, that means the height of the arc is 200 feet.
Now, the domain for this function is all real numbers. The range for this function is all number least or equal than zero.
Dixon is 6 feet tall, Ariadne is 4 feet tall by proportion.
What in mathematics is a proportion?
- A proportion is an equation that sets two ratios at the same value.
- For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)
We can use the proportion.
We already know that Dixon is 6 ft tall and that his shadow is 9 ft long.
Also we know that the shadow of his sister is 6 ft long.
6 : x = 9 : 6, or 6 / x = 9 / 6.
After that we will cross multiply : 9 * x = 6 * 6,
9 x = 36 ,
x = 36 /9,
x = 4.
Ariadne is 4 feet tall.
Learn more about proportion
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The complete question is -
Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 9 feet long and Ariadne's shadow is 6 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
