Answer:
3 seconds.
Step-by-step explanation:
We have been given that Sandra throws an object straight up into the air with initial velocity of 38 ft per second from platform that is 30 ft above the ground.
To find the time it will take for object to hit the ground, we will use formula:
, where,
represents initial velocity and
represents initial height.
Upon substituting our given initial velocity and initial height, we will get:

We know that object will hit the ground, when height will be 0, so we will equate object's height equal to 0 and solve for t as:

Divide by 2:

Upon using quadratic formula, we will get:






Since time cannot be negative, therefore, it will take 3 seconds for object to hit the ground.
Answer:
1) There are 13 students in Jerry's study.
2) There are 39 students in Kathy's study.
3) Jerry's study is more trustworthy!
Step-by-step explanation:
1) Jerry's study is the one with the dot plot.
Now, the number of students is calculated by adding the total number of dots in the plot.
We have a total of 13 dots.
Thus, there are 13 students in Jerry's study.
2) Kathy's study is the one with the histogram.
The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.
Total number of students = 9 + 11 + 7 + 12 = 39 students
3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.
Answer:
They can invite 136 while staying in budget
Step-by-step explanation:
Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:
5,000-80 = 4,920
After doing this, you can take 4,920 and divide it by 36 (the price per person).
4,920/36 = 136.67
Because you can not have .67 of a person, your closest number you can use is 136.
leaving them with $24
Answer:

Step-by-step explanation:



