Answer:
The correct answer is option A.
Step-by-step explanation:
Number of circles = 64
Number of square = 96
Number of triangles = 48
Factor of 64, 96 and 48;
Factors do these numbers have in common are:
64 = 2 × 2 × 2 × 2 × 2 × 2
96= 2 × 2 × 2 × 2 × 2 × 3
48= 2 × 2 × 2 × 2 × 3
Common factors = 2 × 2 × 2 × 2 =16
<span>This question, in my opinion, is not well stated. If f(x) = √x, as the question statement seems to say, then the domain is not x<7. Rather, the domain is x≥0.
If f(x) is not the square root function, but say f(x) = √(7-x) then the domain is x≤7, and for this function then the appropriate answer is d), since the x-term inside the radical has a negative coefficient.</span>
Answer: $0.24
Step-by-step explanation:
9.5 inches --> $2.28
1 inch--->X
now cross multiply it and get,
9.5X = 2.28*1
X = 2.28/9.5
so its $0.24 per inch
Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
Now, comparing areas:
2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
Answer:
<em>M(13)=14.3 gram</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:
Operating:
After t=13 minutes the remaining mass is:
Calculating:
M(13)=14.3 gram