The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. I
1 answer:
The temperature of the substance at 10am = 63.95°F
Let the temperature at 10 am be x
The temperature changes by −8.7°F from 10 a.m. to 1 p.m
The temperature at 1 pm = x - 8.7
At 5 p.m., the temperature is 33.5°F
The temperature at 5 pm = 33.5°F
The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m
Solve for x
3(33.5) = 2(x - 8.7)
110.5 = 2x - 17.4
2x = 110.5 + 17.4
2x = 127.9
x = 127.9/2
x = 63.95°F
The temperature of the substance at 10am = 63.95°F
Learn more here: brainly.com/question/25522357
You might be interested in
Hey!
To solve this problem, we would really have to graph both equations.
<em>OPEN THE FIRST IMAGE</em>
The first image I provided was the image of this equation graphed: <span>y=2x+1
<em>OPEN THE SECOND IMAGE</em>
The second image I provided was the image of this equation graphed: </span><span>y=2x^2+1
<em>PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!</em>
The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).
The second image has only one point, which is at ( 0, 1 ).
<em>OPEN THE THIRD IMAGE</em>
Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).
So, our answer is...
<em>The ordered pairs that are the solution to the system are</em> </span><span>( 0,1 ) and ( 1,3 ).
Hope this helped!
- Lindsey Frazier ♥</span>
To solve this problem, we would really have to graph both equations.
<em>OPEN THE FIRST IMAGE</em>
The first image I provided was the image of this equation graphed: <span>y=2x+1
<em>OPEN THE SECOND IMAGE</em>
The second image I provided was the image of this equation graphed: </span><span>y=2x^2+1
<em>PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!</em>
The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).
The second image has only one point, which is at ( 0, 1 ).
<em>OPEN THE THIRD IMAGE</em>
Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).
So, our answer is...
<em>The ordered pairs that are the solution to the system are</em> </span><span>( 0,1 ) and ( 1,3 ).
Hope this helped!
- Lindsey Frazier ♥</span>
The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
Learn more about normal distribution on:
#SPJ1
The given polynomial function has 1 relative minimum and 1 relative maximum.
<h3>What are the relative minimum and relative maximum?</h3>- The relative minimum is the point on the graph where the y-coordinate has the minimum value.
- The relative maximum is the point on the graph where the y-coordinate has the maximum value.
- To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)
The given function is
f(x) = 2x³ - 2x² + 1
derivating the above function,
f'(x) = 6x² - 4x
At slope = 0, f'(x) = 0 (for maximum and minimum values)
⇒ 6x² - 4x = 0
⇒ 2x(3x - 2) = 0
2x = 0 or 3x - 2 = 0
∴ x = 0 or x = 2/3
Then the y-coordinates are calculated by substituting these x values in the given function,
when x = 0;
f(0) = 2(0)³ - 2(0)² + 1 = 1
So, the point is (0, 1)
when x = 2/3;
f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27
So, the point is (2/3, 19/27)
Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.
So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.
Thus, option A is correct.
Learn more about the relative minimum and maximum here:
#SPJ1
