Bryan went to mexico and exchanged 150 US dollars for 3000 mexican pesos. How many pesos did he receive per US dollar?

there are 1024 players in a tennis tournament in each round half of the players are eliminated which function can be used to fin

jonny [76]

Answer: f(x) = 1,024(0.50)^x

Step-by-step explanation:

Hi, to answer this question we have to apply a decreasing rate formula:

f(x)= P (1 - r) ^x

Where:

p = original number of players

r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)

x = rounds

f(x) = number of players after x rounds

Replacing with the values given:

f(x) = 1,024(1-50/100)^x

f(x) = 1,024(1-0.5)^x

f(x) = 1,024(0.5)^x

7 0

3 years ago

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

3 years ago

Help plssssssssssssssssssss

Whitepunk [10]

Answer: -74

Step-by-step explanation:

First you have to solve - 2y - 9 = 7 to find what "y" equals so we can plug that into 9y - 2

1. Solve -2y - 9 =7:

-2y = 16

y = -8

2. Plug -8 into the expression 9y - 2:

9(-8) - 2

-72 -2

-74!

Im sorry if i didnt do this correctly :/

5 0

3 years ago

The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours

Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral $\int\limits^{10}_{1 } {W(t)} \, dt$ means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am