2. 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 45. 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
0.45
b. Then, convert the logarithmic function into an exponential function using y for the рН.
I’m so lost and don’t know what to do someone please help.
Answers
Answer:
hey have made this a little more confusing than it has to be. Usually we use H+ in chemistry instead of t, but you can also use X, Y if it's easier where Y = -log(X) where X= hydronium and Y = pH.
Which also means Y=p(t) and X = t.
To graph this, I would suggest using values for X like 0.1, 0.2, 0.5, 0.7, 1.0, 1.5, or similar numbers. Then use your calculator to calculate Y values for each of these X values and plot them. You can also use a spreadsheet. If you have Excel I can help you to use it. Either way you can then use your graph to answer the questions in part 1 where Y = 0 and Y=1 and just read off the X values.
Part 2 is worded badly. It's ambiguous to say "raised by 0.5" since if you raise hydronium (= X) by 0.5, the change in pH (=Y) will vary depending on where you start. They meant "raise to 0.5", though they do say this at the end of the question. Anyway, you can easily read it off your graph using 0.5 as the X value.
Now to set up the exponential function this is much easier than it sounds. Just remember that a logarithm is the inverse of an exponent so they cancel each other out: As an example log(10X) = X.
So applying here, just take this equation Y = -log(X) and raise 10 to both sides of the equation:
10Y = 10-log(X) which gives you 10Y = 1/X or more usefully X = 10-Y where again X= hydronium and Y = pH
Part 3, these questions actually have no relationship to anything in chemical reality, but are just exercises to see if you can manipulate the graph and function. But they do illustrate at least one interesting point. Note that in the equation
X = 10-Y
X can never =0. This makes sense since there is nothing you can raise 10 to that will make it zero. It also makes sense chemically since in water you can never have zero hydronium. Similarly using the other form
Y = -log(X)
You know X can also never be zero since you can't have log(0).
Now when they ask for a "Y intercept" they are asking for when X=0 which as stated is never in the above case. However when you transform the equation the ways they want you to, then maybe sometimes you can:
So for p(t) + 1 that really means Y = -log(x) + 1. Still here you can not have a Y intercept (X can't =0) since you would still have log(0) which is forbidden.
But p(t+1) really means Y = -log(X+1). Here of course X can be zero since that just gives you log(1). So you have a Y-intercept.
I'll leave it for you to figure out the third one, the question being if you set X=0, will you get log(0)? If so, that's forbidden. If not, you will have a Y intercept.
Related Questions
Solve the following:
4x-1 =x+7
——-
2
Answers
= 4x-1=2x+14
= 4x-2=14+1
= 2x=15
= x=15/2 =7.5
solve pls brainliest
Answers
From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If the observation deck is 1145 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Answers
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Data;
Angle = 45 degreeObservation deck (adjacent) = 1145 fthorizontal distance (opposite) = xTrigonometric RatiosUsing trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance
[tex]tan\theta = \frac{opposite}{adjacent}[/tex]
Substitute the values into the equation and solve
[tex]tan45 = \frac{x}{1145}\\ x = 1145tan45\\x = 1145ft[/tex]
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Learn more on trigonometric ratio here;
https://brainly.com/question/4326804
What is the answer for y and x
Answers
Answer:
x=128°
y=52°
Step-by-step explanation:
explanation is in the image above
Pls help me quick
I’ll mark brainly
Answers
Answer:
It should be C
Step-by-step explanation:
Because the slope of AB is longer then the Slope of AD
Pet owners may have to take out a loan when their animal has a major operation. Buddy needs to have surgery on his leg. The cost of the surgery is $2500. His owner will get a loan for this amount over 2 years at a rate of 7.5%. What is the total cost of the surgery including the loan and the interest?
Answers
Answer:
$2,889.06
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7.5/100
r = 0.075 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,500.00(1 + 0.075/1)(1)(2)
A = 2,500.00(1 + 0.075)(2)
A = $2,889.06
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 7.5% per year compounded 1 times per year over 2 years is $2,889.06.
Can a function be differentiable but not continuous.
Answers
Answer:
We see that if a function is differentiable at a point, then it must be continuous at that point. There are connections between continuity and differentiability. If is not continuous at , then is not differentiable at . Thus from the theorem above, we see that all differentiable functions on are continuous on
Step-by-step explanation:
I need help I do not understand this
Answers
Step-by-step explanation:
the slope of a line is its inclination and is expressed as ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
now, I see 2 "good" points on the chart (I mean by that points with integer coordinates) :
(0, 10)
(20, 100)
so, between these 2 points
x changes by +20 (from 0 to 20).
y changes by +90 (from 10 to 100).
so, the slope is +90/+20 = 9/2
Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Answers
Answer:
1.67 each bottle Because if u do 36.39-2.99= 33.40divided by 20 =1.67 each bottle
Step-by-step explanation:
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
4 packages
Step-by-step explanation:
450 can be divided by 100 4 whole times, the extra cards cannot be added into a package
Answer: 4
Step-by-step explanation:
100 can go into 450 only 4 times
Hope this helped
Please help me brainliest reward
Answers
Step-by-step explanation:
it would be best to answer by the pictogram
Please help !!!!!!!!!!
Answers
Answer:
Whole number is 16
Step-by-step explanation:
Whole number are 0,1,2,3,........
Answer:
16!
-8 is the absence of number
0.23 isn't a full number neither is 4/5 and 2.54
Which geometric figures are drawn on the diagram? Check all that apply.
Line segment C A
Ray A C
∠ABC
Circle C
Ray B E
∠BCE
Line segment A E
Answers
Answer:
A. CA -
B. CA->
D. 0c
E. <BCE
Step-by-step explanation:
Factor. 9x^2+42xy+49y^2
Enter your answer in the box
Answers
[tex]\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}[/tex]
The factorized form of the given equation is ~
[tex] \boxed{ \sf(3x + 7y) {}^{2} }[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 9 {x}^{2} + 42xy + 49 {y}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: (3x) {}^{2} + 2(3x \times 7y) + (7y) {}^{2} [/tex]
Now, as we can see, an Identity is applied here ~
that is ;
[tex]\qquad \sf \dashrightarrow \: {a}^{2} + 2ab + {b }^{2} = (a + b) {}^{2} [/tex]
So, let's use this identity in our next step, taking :
a = 3x b = 7y[tex]\qquad \sf \dashrightarrow \: (3x + 7y) {}^{2} [/tex]
help pleaseeeeee????
Answers
Hey hey!
To figure out the congruence you have to look at the lines and ticks on both triangles.
So when it gives you one letter you know it's asking for an angle.
And when it gives you two letters you know it's a segment.
When it gives you three letters you're looking for an angle.
A)
<A = <X
<B = <Z
<C = <Y
B)
AB = XZ
AC = XY
BC = ZY
C)
This one is a little tricky, so when it gives you a three-letter angle you have to look at the 'samwitched' letter, which in this case would be A.
To answer this first you have to figure out what angle corresponds to A which would be X.
And then to answer you could say either YXZ or ZXY as long as the X is in the middle it's okay.
I hope this helps a bit :)
Please feel free to comment with any questions!!
PLEASE HELP ASAP!!! will mark brainlest!! find the area.
Answers
Answer:
52
Step-by-step explanation:
what’s the length of the square game board with that area ?
Answers
Answer:
11.74m
Step-by-step explanation:
138 = a*a
a = √138 = 11.74m
Answer:
11.74m
Step-by-step explanation:
138 = a*a
a = √138 = 11.74m
A diamond ring was reduced from $999.99 to $299.99. Find the percent decrease in the price. Round the answer to the nearest tenth of a percent.
Answers
Step-by-step explanation:
999.99 × x% = 299.99
999.99÷100 × x = 299.99
9.9999 × x = 299.99
9.9999x = 299.99
D.B.S by 9.9999 to make x the subject
9.9999x÷9.9999 = 299.99÷9.9999
x=29.999299993
To the nearest tenth of a percent, x=30
Therefore, x = 30%
Four times a number,added to 9 ,is 41.find the number
Answers
Answer:
8
Step-by-step explanation:
41-9=32
32/4=8
Simplify the following expression: 5x + 8 + 7x − 8x − 4 (1 point)
7x2 + 13x + 4
7x2 − 3x + 12
7x2 − 3x + 4
7x2 + 13x + 12
Answers
Answer:
10x2 − 13x + 6
Step-by-step explanation:
hope that help .
Let's simplify step-by-step.
5x+8+7x2−8x−4
=5x+8+7x2+−8x+−4
Combine Like Terms:
=5x+8+7x2+−8x+−4
=(7x2)+(5x+−8x)+(8+−4)
=7x2+−3x+4
Answer:
=7x2−3x+4 hence, C
Can someone pls help me with this I have no clue what I’m supposed to be doing
Answers
Given this is a right triangle
85^2 = 7225
84^2 = 7056
85^2 - 84^2 = 169 = 13^2
Sin QR / QP = sin 84 / 85 = 81.2 deg
Jacob earned $370 walking dogs over the summer. He put 30% of what he earned into his savings account.
How much money did Jacob put into his savings account?
Enter your answer in the box
Answers
I don't think I need to explain it, the answer is $111
Answer: $111
Step-by-step explanation:
61.7 is what percent of 64? Round to the nearest thousandth.
Answers
Answer:
96.406%
Step-by-step explanation:
(61.7 ÷ 64) x 100 = 96.40625 = 96.406% (nearest hundredth)
Pls help me it’s due today
Answers
Answer:
x = 6.4
Step-by-step explanation:
Set up using proportion and cross multiply to solve:
8/10 = x/8
x = 6.4
Solve the inequality x - 4 < -3. Then graph the solution set. Show your work.
Answers
Answer:
x < 1
Step-by-step explanation:
x - 4 < - 3
+ 4 +4 Do inverse operations by adding 4 on both sides
x < 1
Therefore, the answer is x < 1.
(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)
<------------------------------o------------------>
-4 -3 -2 -1 0 1 2 3 4
The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).
can someone explain how to solve the equation 4k + 6 = –9 + 9k
Answers
collect like terms
4k-9k
= -5k
subtract
-9-6
= -15
divide -5 on both sides
-5/-5 -15/-5
k=3
Answer:
3
Step-by-step explanation:
4k+6=-9+9k
4k-9k+6=-9
-5k+6=-9
-5k=-9-6
-5k=-15
5k=15
k=15/5
k=3
The probability that a student plays tennis is 40% and the probability that a student is
right-handed is 85%. The probability that the student plays tennis and is right-handed is
30%. Draw a Venn Diagram
Answers
Venn diagrams are pictorial representations of set notations
How to determine the venn diagramRepresent the event that a student plays tennis with A, and the event that a student is right-handed with B
So, we have the following notations
n(A) = 40%
n(B) = 85%
n(A n B) = 30%
Next, we draw the Venn diagram where the intersection of A and B is represented with 30%
See attachment for the Venn diagram
Read more about Venn diagrams at:
https://brainly.com/question/2099071
What are the ordered pairs of the
solutions for this system of equations?
Answers
Answer:
x[tex]x {}^{2} - 2x - 2x + 12 - 3[/tex]how do you solve x-3y=7
4x+2y=14
Answers
This is the solution
If a pentagon has a radius of 16 find the perimeter
Answers
Answer:
94.05 units is the perimeter of this pentagon.
Length of each side in pentagon: 2r × Sin(180/n)
where r is radius and n is number of sides
Using the formula: 2r × Sin(180/n)
: 2*16 * sin(180/5)
: 18.8 units
Perimeter = 5(18.8) units........5 as we know pentagon has 5 sides
= 94.05 units
