Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
Subtract 
from each side to single out one variable to one side
Now, we can plug in our value for x into the given equation
Open the parentheses
Merge Y values
Separate numerical values from variables
Divide by 10.8 in order to have a coefficient of 1
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
Open parentheses
Single out the variable
Divide by 5 to have a coefficient of 1 before x
Answer:
12 units squared.
Step-by-step explanation:
The formula for the area of a trapezoid is 1/2(base1+base2)*height. First, add the two bases together. 4+8=12. Then multiply that number by both 1/2 and the height, 2. 1/2*2*12 equals 12 units squared.
Now we have a negative exponent, which is the opposite of a positive exponent.
If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then
the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.
Examples:
The trick is to recognize that
is the same thing as 
and 
mean the same thing.
So, 
For your exercise, 
means you'll move the decimal point 24 places to the left, to make the number smaller.
- The kind of curve obtained is linear.
- The relationship between the variables is direct variation.
- After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
- The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.
In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.
Based on the graph for the data (see attachment), we can logically deduce the following points:
- The kind of curve obtained is linear.
- The relationship between the variables is direct variation.
- After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
- The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.
Read more on graphs here: brainly.com/question/25875680
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Complete Question:
Plot a graph for the following data recorded for an object falling from rest
a. What kind of a curve did you obtain?
b. What is the relationship between the variables?
c. What do you expect the velocity to be after 4.5 s?
d. How much time is required for the object to attain a speed of 100 ft/s?
Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?
Solution: The five number summary denotes:
Minimum = 19
First Quartile = 32
Median = 47
Third Quartile = 61
Maximum = 77
Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.
Therefore, there are 7 observations that are strictly less than 32
