Answer:
She needs to number each plant 1–60 and randomly select 10 plants
Step-by-step explanation:
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:
0.01 miles / 1 hour = x miles / 2.4 hours
The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:
0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours
0.024 miles would be the answer.
Answer: C.teaching music at an orphanage.
Step-by-step explanation: Antonio Vivaldi's music career was mainly spent in the Ospedale Della Pieta. Antonio Vivaldi sure did make a difference. composer and violinist all around Italy. It was in the year 1713 that he made the villa") in Vincenza. After his debut, in the year 1718, he continued to tour all different operas and concertos.
Antonio Lucio Vivaldi started his career in music by becoming a violin teacher at an orphanage for girls in Venice called ‘Ospedaledella Pieta’ in 1703.
Answer:
Ticket Taker Tony collects more tickets per minute.
Step-by-step explanation:
In order to find out which ticket taker collects more tickets per minute, you need to solve for how many tickets each Ticket Taker collects per minute to compare. Since 90:5 and 128:8 are different ratios, you need to find the unit rate, or how many tickets each collects per minute. To find unit rate, you divide the numerator by the denominator:
Ticket Taker Tony: 
= 
Ticket Taker Tina: 
= 
Every minute, Tony collects 18 tickets, while Tina only collects 16, so Ticket Taker Tony collects more.
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
