Answer:
-2/3
Step-by-step explanation:
We need a negative fraction
The numerator has to be smaller than the denominator to be between 0 and -1
212°F
147°F
23.2 min
1) Initial temperature for t=0
T(0)=68+144e^(0)=68+144=212°F
2) After 15 min
T(15)=68+144e^(-0.04*15)=68+144e^(-0.6)=147°F
3) 125°F -> t=?
125=68+144e^(-0.04t)
144e^(-0.04t)=125-68=57
e^(-0.04t)=57/144=0.4 you can apply ln on both sides:
-0.04t=ln(0.4) solving you get t=23.3 min
Answer:
See explanation
Step-by-step explanation:
Selected theme park admission prices has the lower standard deviation.
Specific home stereo system's distribution is more spread out since the ratio between the standard deviation and the mean is greater compared to that of selected theme park admission prices.
specific home stereo system: 3.99/59=0.0676.
selected theme park admission prices: 4/1499=0.002668
0.0676>0.002668
Answer:


Step-by-step explanation:
We are asked to find the circumference and area of a circle with a radius of 3 meters.
<h3>1. Circumference </h3>
The circumference is the perimeter of a circle. It is calculated using the following formula:

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.
The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

Multiply.

<h3>2. Area </h3>
The area is the size of the circle's surface. It is calculated using the following formula.

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

Solve the exponent.
- (3 m)² = (3 m)(3 m)= 9 m²


The circumference is 18.84 meters and the area is 28.26 square meters.