20 points! Please Help me!

I really need help with this. English isn't my first language, and I've asked 3 different people and no one is able to explain t

hammer [34]

If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool by 0.50. To do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium ions is raised to 0.50. Then, convert the logarithmic function into an exponential function using y for the pH.
The pool company developed new chemicals that transform the pH scale. Graph the parent pH function p(t) = −log10t and the transformations below on the same graph. Send the graph to your partner. Your partner will explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences.
p(t) + 1
p(t + 1)
−1 • p(t)
Image by goodtextures: http://fav.me/d2he3r8
p(t)=-log(t)
p(.5)=-log(.5)= 0.3

y=-log ^(0.5)
10^-y= 0.5
10
p(t)+1
Red line on graph, this transformation has shifted up by 1. This translation doesn't result in a y-intercept.
p(t+1)
Blue line on graph, this transformation is shifting to the left by 1. This translation results in a y-intercept because it crosses the y-axis.
<span>-1 p(t) </span>

8 0

4 years ago

Sarah invested $1000 in an account paying 5.5% interest compounded semi-annually. How long will it take for the account balance

NISA [10]

Answer: it will take 43.25 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $1000

A = $10450

r = 5.5% = 5.5/100 = 0.055

n = 2 because it was compounded 2 times in a year.

Therefore,.

10450 = 1000(1 + 0.055/2)^2 × t

10450/1000 = (1 + 0.0275)^2t

10.45 = (1.0275)^2t

Taking log of both sides, it becomes

Log 10.45 = 2t log 1.0275

1.019 = 2t × 0.01178 = 0.02356t

t = 1.019/0.02356

t = 43.25 years

4 0

3 years ago

What is the domain of f(x)=^3 sqrt x?

tino4ka555 [31]

ANSWER

Domain is all real numbers.

EXPLANATION

We want to find the domain of the function,

$f(x) = \sqrt[3]{x}$

The domain of this function refers to all values of x that will make the function defined.

When we plug in all real values into the above function, there will be a corresponding functional value.

Therefore the domain is all real numbers.

Or

$x \in \: R$

Or

$( - \infty ,+ \infty)$