Answer:
10 cm.
Step-by-step explanation:
We'll begin by calculating the area of the small bubble. This can be obtained as follow:
Radius (r) = 5 cm
Area (A) =?
Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:
A = πr²
A = π × 5²
A = 25π cm²
Next, we shall determine the total area of the small bubbles. This can be obtained as follow:
Area of 1 bubble = 25π cm²
Therefore,
Area of 4 bubbles = 4 × 25π cm²
Area of 4 bubbles = 100π cm²
Finally, we shall determine the radius of the large bubble. This can be obtained as follow:
Area of large bubble = total area of small bubbles = 100π cm²
Radius (r) =?
A = πr²
100π = πr²
100 = r²
Take the square root of both side
r = √100
r = 10 cm
Thus, the radius of the large bubble is 10 cm
Answer:
Aaron still needs to save $9
Step-by-step explanation:
Assuming the equation is 8a + 56 = 128
8a + 56 = 128
8a = 128 - 56 = 72
8a = 72
a = 72/8 = $9
Answer: 6f
Explanation: Move 6 to the left of F and remove the parentheses
Answer:
f(x)=(1.023) ⋅ 3^x Growth
f(x)=3 ⋅ (0.072)^x Decay
f(x)=4 ⋅ (0.035)^x Decay
f(x)=2 ⋅ (1.34)^x Growth
Step-by-step explanation:
An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.
f(x)=(1.023) ⋅ 3^x Rate 3 - Growth
f(x)=3 ⋅ (0.072)^x Rate 0.072 - Decay
f(x)=4 ⋅ (0.035)^x Rate 0.035 - Decay
f(x)=2 ⋅ (1.34)^x Rate 1.34 - Growth