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LUCKY_DIMON [66]
4 years ago
5

Umeko and Clemente are simplifying the problem below, who was wrong? Explain the error.

Mathematics
1 answer:
lapo4ka [179]4 years ago
8 0
\log_76+\log_73-\log_72 \\ =\log_7(6\times 3)-\log_72\\  =\log_718-\log_72 \\=\log_7 \frac{18}{2}  \\ =\log_79
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Please help!! will mark branliest
Mashcka [7]

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'

b. After 8 bounces we can apply the previous formula with n = 8 to get

h(8)=(\frac{17}{20})^8\times 72' = 19.62'

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous h(n)increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

1>(\frac{17}{20})^n\times 72 Let's first isolate the fraction by dividing by 72.

(\frac{17}{20})^n  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

-(0.16)n < - 4.27 \rightarrow n>26.31 Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

7 0
3 years ago
How do I make 120% into a fraction and a decimal number?
artcher [175]
120/100 is your fraction and 1.2 in a decimal 
Hope that helps.
6 0
3 years ago
Read 2 more answers
Erica plotted the three towns closest to her house on a graph with town A
IRINA_888 [86]
Please plot these 3 points on graph paper.  This will result in a triangle with three different vertices.   Which vertex corresponds to the largest interior angle of the triangle?  to the smallest?  If you can answer these questions properly, then you'll pretty much have the answer to this question.  Be sure to arrange the sizes of the angles in ascending (increasing) order.
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3 years ago
Helppp? I don’t even understand thisss
Softa [21]
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7 0
4 years ago
Find the area of the parallelogram.<br>4 m<br>11 m​
agasfer [191]

Answer:

The area of this parallelogram is 44meters^2

Step-by-step explanation:

The formula for working out the area of a parallelogram is : base*height

To work out the area you would multiply the base of 11 by the height of 4, this gives you 44 meters squared. This is because a identical parallelogram and a rectangle would have the same area.

1) Multiply 11 by 4.

11*4=44 meters^2

 

4 0
3 years ago
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