Answer:
14⁻⁵
Step-by-step explanation:
Dividing two exponents with the same base has the effect of <em>subtracting</em> the bottom exponent from the top one. Following that rule, we can simplify our fraction like this:
Answer: hopefully this is what you need
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality form:
X < -6
Interval Notation:
(-♾, -6)
Answer:
17.25 years
Step-by-step explanation:
A certain type of conifer hedging increases in height by 17% each year for the first 20 years.When i bought some of this hedging, it was all about 50cm tall. How long will it take to grow 3m tall?
Step 1
We make sure all parameters have the same units, hence:
We convert 3m to cm
1 m = 100cm
3m = x
Cross Multiply
x = 3 × 100cm
x = 300cm
Step 2
To solve this question, we use the formula for Exponential growth =
y = a (1 + r) ^t
Where:
y = Size after time t = 3m = 300cm
a = Initial size of the tree = 20 cm
r = Growth rate = 17%
t = Time in years = ??
300 = 20 (1 + 0.17)^t
300 = 20(1.17) ^t
Divide both sides by 20
300/20 = 20(1.17) ^t/20
15 = 1.17^t
Take the Natural logarithm of both sides
In 15 = 1n 1.17^t
In 15 = t 1n 1.17
t = In 15/In 1.17
t = 17.248315544 years
Approximately = 17.25 years
Hey there! I'm happy to help!
Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!
If we plug this into our calculators...
√138≈11.74734
We see that is closest to B. 12 ft.
You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.
Have a wonderful day! :D