Answer:
The family would have of the watermelon for supper.
Step-by-step explanation:
Given:
Amount of watermelon in refrigerator =
Amount of water melon brought form grocery store =
We need to find the fraction of water melon family have for supper.
Solution:
Now we can say that;
the fraction of water melon family have for supper is equal to sum of Amount of watermelon in refrigerator and Amount of water melon brought form grocery store.
framing in equation form we get;
the fraction of water melon family have for supper =
Now taking LCM to make the denominator common we get;
the fraction of water melon family have for supper =
Now denominators are common so we will solve for numerator we get;
the fraction of water melon family have for supper =
Hence the family would have of the watermelon for supper.
an explicit formula for the arithmetic sequence -5,13,31,49 is .
<u>Step-by-step explanation:</u>
Here we have an arithmetic sequence -5,13,31,49 . We need to find an explicit formula for the arithmetic sequence .Let's find out:
Let be terms of an A.P , common difference is :
⇒
⇒
⇒
⇒
We know that general term of an Arithmetic Progression ( A.P) is :
⇒
So , Here we will have
⇒
⇒
⇒
Therefore , an explicit formula for the arithmetic sequence -5,13,31,49 is .
We are going to solve this problem two ways:
Solution 1. Graphical
If you plot the equation of temperature
for x between 0 and 160 minutes you'll get the plot in the attachement.
The blue curve represents the variation of the temperature in time. Notice that it crosses the red line (132 degrees <span>Fahrenheit</span>) twice, at around 20 F and 70 F.
So the answer is yes, if will reach 132 F.
Solution 2. Analytical
In order to see if the variation of temperature y(x) intersects 132 F line means to solve the equation:
Step 1. Write the equation in the quadratic form:
Step 2. Calculate the discriminant:
Only by looking at the discriminant we can see that it is positive, which means that it crosses the 132 F line in two points, which also means that there are two roots of the equation, both real numbers.
Step 3 (optional). Calculate the roots of the equation.
As you can see, tha analytic solution matches the graphic solution. At time x=20.5 minutes the temperatures reaches 132 F and is still rising. At time x=69.5 minutes the temperature is again 132 F but this time is decreasing.
Probability of getting heads on first try is 1/2
probability of getting heads on 2nd try is 1/2
probability of getting both is : 1/2 * 1/2 = 1/4
These are both independent because 1 does not effect the other