The correct option regarding the system of equations is given as follows:
B. The solution is nonviable because the time cannot be negative.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The systems use linear equations, and the solution is the intersection of the lines. In this problem, the curves intersect at (-4,0), that is, they have the same percentage at a time of -4 seconds, which is nonviable, as the time cannot be negative, hence option B is correct.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
The surface area of the smaller solid is 112 km².
<h3>What are Similar Solids?</h3>
Similar shapes are enlargements of two shapes using a scale factor.
The ratio of the volume of similar solids is the ratio of the cube of their length.
Formula:
- V/v = L³/l³................... Equation 1
- L/l = ∛(V/v)............... Equation 2
Where:
- V = Volume of the larger solid
- v = volume of the smaller solid
- L = Length of the larger solid
- l = Length of the smaller solid.
From the question,
Given:
Substitute the value into equation 2
To calculate the area of the smaller solid, we use the formula below
Where:
- a = Area of the smaller solid.
- A = Area of the larger solid
make a the subject of the equation
- a = (l²A)/L²................ Equation 2
From the question,
Given:
Substitute these values into equation 2
- a = (4²/9²)567
- a = 112 km²
Hence, the surface area of the smaller solid is 112 km².
Learn more about similar shapes here: brainly.com/question/2644832
#SPJ1
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
To learn more about convex sets:
brainly.com/question/12577430
#SPJ9
Initial tempuratire is at t=0
T(0)=103e^0+73=103(1)+73=103+73=176 degrees
after 90 mins
T(90)=103e^-0.0182*90+72
T(90)=103e^-1.638+73
T(90)=19.6589+73
T(90)=92.6589 degrees