${2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...$

Let me know if you need further explanation.

Thank you

7 0

3 years ago

Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60%, percent of his collection.

Natasha_Volkova [10]

I'm just gonna assume that the question is what's the total number of cars he has/ the other part of his collection

His whole collection has 45 cars in it. I got that by multiplying 60% by 27

the other 40% of his collection is made up of 18 cars

4 0

3 years ago

Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Dimas [21]

Answer:

50.6

Step-by-step explanation:

The perimeter of the circle is 12.56 because we take 1/2 of 8 (the length of the short side of the rectangle) and multiply that by pie (or 3.14). Now that we know that the perimeter of the circle is 12.56 we add that to 8 (short side of the rectangle) and we add that to 15 twice (which is 30)

8 0

2 years ago

A recipe for fruit punch calls for every 9 cups of grapefruit juice for every 4 cups of OJ. If 60 cups of OJ are used, then how

vampirchik [111]

Answer:

15 cups

Step-by-step explanation:

60/4=15

3 0

3 years ago