Answer:
10
Step-by-step explanation:
because 25 is 5 times as much so you multiply 5 by 2 and you get 10.
Answer:
A. 2y^4 over x^2
Step-by-step explanation:
4x^4y^6 ÷ 7x^8y^2
First, you will find the GCF of the equation which is: 7x^4y^2 .
Then, you will divide both of the equation by the GCF which will become:
14x^4y^6 ÷ 7x^4y^2 = 2y^4
7x^8y^2 ÷ 7x^4y^2 = x^2
Hence, the final answer is 2y^4 over x^2
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
The GCF (greatest common factor) of both of these numbers is 4, so if you divide the numerator and denominator by 4, you get 3/5.
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