Hello :)
In 8 years, the father will be 2 times older than the child.
In 8 years, the father will be 40
In 8 years, the child will be 20
40 ÷ 20 = 2
So again, the answer is 8 years :)
Hope this helps and have a great day
Total of 25 cakes
Tina : placed 0.24.....24%
Dora : placed 9 out of 25.....9/25 = 36%
Wilson : placed 20%
Kane: placed the remainder ...100% - (24% + 36% + 20%) = 20%
Dora placed the most
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>
In this item, we are given with the amounts of both the flour and sugar.
Part A:
First, we determine the total amount of recipes needed for the batch.
total amount = (4 1/5 cup) + (2 3/7 cup)
total amount = 232/35 cup
To determine the total amount of sugar needed for 4/9 of the recipe, we multiply the given amount of sugar by 4/9. That is,
amount of sugar = (4/9)(2 3/7)
<em> amount of sugar = 68/63 cups of sugar</em>
Part B: To determine the amount of flour needed is 3 times the given amount for each batch.
amount of flour = (3)(4 1/5 cups of flour)
<em> amount of flour = 63/5 cups or 12.6 cups of flour</em>
Thirty eight billion , four hundred million, sixty (is your answer)
