Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
What is pH value?The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.
Given information-
The equation for the pH of a substance is,
[tex]pH = -\log[H^+ ],[/tex]
Here, [tex]H[/tex]hydrogen ions.
The pH value of the solution is 7.2.
The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).
The given equation for pH of the substance is,
[tex]pH = -\log[H^+ ],[/tex]
It can be written as,
[tex]-pH = \log[H^+ ],[/tex]
The pH value of the solution is 7.2. Put the value as,
[tex]-7.2 = \log[H^+ ][/tex]
Rewrite the above equation as,
[tex]\log[H^+ ]=-7.2[/tex]
Using the log property the, above equation can be written as,
[tex][H^+ ]=10^{-7.2}[/tex]
Solve it further as,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
[tex][H^+ ]=6.3095\times10^{-8}[/tex]
Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
Learn more about the pH value here;
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Identify the coefficient in the expression: 6 -3x +2
Answer:
8- 3x
Step-by-step explanation:
1- Calculate
Assuming that no denominator equals zero, what is the simplest form of this expression?
Answer:
The answer is D
Step-by-step explanation:
The simplified form of the algebraic expression [tex]\frac{x+2}{x^{2} +5x+6} / \frac{3x+1}{x^{2} -9}\\[/tex] is [tex]\frac{x-3}{3x + 1}[/tex].
What is simplifying an algebraic expression?Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
[tex]= \frac{x+2}{x^{2} +5x+6} / \frac{3x+1}{x^{2} -9}\\ \\ = \frac{x+2}{x^{2} +5x+6} * \frac{x^{2} -9}{3x+1}[/tex]
Solving in parts,
[tex]=x^{2} +5x + 6\\\\= x^{2} + 2x + 3x + 6\\\\=x(x+2) + 3(x+2)\\\\=(x+2)(x+3)[/tex]
[tex]= x^{2} -9\\\\= x^{2} - 3^{2}\\ \\=(x - 3)(x + 3)[/tex]
[tex]= \frac{x+2}{x^{2} +5x+6} * \frac{x^{2} -9}{3x+1}\\\\= \frac{x+2}{(x+2)(x+3)} * \frac{(x+3)(x-3)}{3x+1}\\ \\=\frac{x-3}{3x + 1}[/tex]
Learn more about simplifying an algebraic expression here
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help me please??????????????
Answer:
x = -3.5 or x = 1.7
Step-by-step explanation:
Start by factoring the left side.
We need to find two numbers that have a product of -210 (6 * -35) and a sum of 11...
-10*21=-210
-10+21=11
We can rewrite 11x as -10x+21x...
[tex]6x^2-10x+21x-35=0[/tex]
Then, factor the first and second half of the left side individually:
[tex]2x(3x-5)+7(3x-5)=0[/tex]
Since 2x and 7 are both being multiplied by 3x-5, we can combine them to get:
[tex](3x-5)(2x+7)=0[/tex]
Divide the equation by 3x-5:
2x+7=0
Subtract 7 from both sides
2x=-7
Divide both sides by 2
x=-7/2=-3.5
Now, we also have to consider another answer, in which we divide the equation by 2x+7 instead of 3x-5:
3x-5=0
Add 5 to both sides
3x=5
Divide both sides by 3
x=5/3≈1.7
A daycare center has 4 infants and 11 toddlers. What fraction of the children are infants?
Answer:
4/15 of the children are infants
Step-by-step explanation:
Hope it helps!
what is the equation of the line?
Help with this math question, I am graphing them to see which one is correct, but please help so I can speedy out of this, please?
Answer:
Last one: 3x²
Step-by-step explanation:
Quadratics are functions with the power of 2 as the highest.
Option 1 is a Reciprocal function
Option 2 is a linear function
Option 3 is a exponential function
Option 4 is a quadratic function
0)
2) Solve the equation 9x = 7(x + 2).
A) -7
B)-1
1
D) 7
Divide and check the answer with formula 252 ÷2
[tex] \hookrightarrow \sf \dfrac{252}{2} \\ \\ [/tex]
[tex] \hookrightarrow \sf126[/tex]
help ill give 5 stars
need help with A and B would be perfect with an explanation (not necessary)
Answer:
a) 54.5
b) 55.4
Step-by-step explanation:
error intervals - 54.5 is the lowest number that can round to 55, and 55.4 is the highest because 55.5 would round to 56
If five people share three carrons of chow mein, what is each person's share?
Answer:
0.6 servings
Step-by-step explanation:
division. divide 3/5.
f(x)=3(2)^x ; x= -1 evaluate for X
Hey there!
f(x) = 3(2)^x
f(x) = 3(2)^-1
y = 3(2)^-1
y = 3 * 2^-1
y = 3 * 1/2
y = 3/1 * 1/2
y = 3(1) / 1(2)
y = 3/2
y ≈ 1 1/2
Thus, your answer is: y = 3/2 or y = 1 1/2
[EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE BOTH EQUIVALENT TO EACH OTHER]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
f(-1) = 3/2
Step-by-step explanation:
Solve:
f(-1) = 3(2)^-1f(-1) = 3 * (1/2)f(-1) = 3/2-Chetan K
luise gets $4 a week for raking the leaves. they want to buy a $10 toy. how many more weeks do they need to rake
Answer:
$4 a week? darn that's a scam
Step-by-step explanation:
It should take her two and a half weeks to get $10.
Answer:
3
Step-by-step explanation:
Because she gets 4$ a week so her first week she gets 4$
second week she gets 8$
And finally her third week she would heave 12$
Have a good day :)
Leyan bought 2 3/4 pounds of apples for $1.32 per pound. 1 1/2 pounds of peaches for $1.20 per pound, and some tomatoes. all from grocery store. the total cost of his purchase was $9.63.
How much money did leyan spend on tomatoes
Answer:
$ 4.20
Step-by-step explanation:
He spent $3.63 on apples
$1.80 on peaches
if you subtract both those numbers from $9.63 you get $4.20
So thats the amount he spent on tomatoes
Finding Missing Angles Khan Academy
Answer:
so
=120+32
=152
z=152 degree
Can someone please help me with this square root problem?
Answer:
Rational, Rational, Rational, Irrational, Irrational
Step-by-step explanation:
The first question:
-√49-7This number is rational
Second:
-70.8888....This number is rational. It wouldn't be rational if the digits won't repeat.
Third:
15.91This number is rational
Fourth:
17πThis is irrational. The digits of pi do not repeat, making it irrational.
Fifth:
-√14Irrational. The square root of a non-perfect square is irrational.
-Chetan K
A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charged $3 per shirt, plus a $50 flat fee for shipping. If the school orders 15 T-shirts how much will the total cost be?
Answer:
answer
3m + 50mn
correct me if I'm wrong.
Answer:
I think it would be 3m + 50mn
Step-by-step explanation:
Sorry if I am wrong, hope it helps!
I only have like 5 more questions left guys I had to answer 38 and I don’t understand these so thanks for helping me!
Answer:
A
Step-by-step explanation:
A: y + 2 = 3(x-6)
B: y + 2 = -3(x-4)
C: y + 1 = 6(x-4)
D: y + 1 = -6(x+4)
Point slope formula: y₂ ± y₁ = m( x₂ ± x₁ )
m = 3
y + 2 = 3(x-6)
List the sides in order for biggest to smallest:
Answer:
(Biggest to smallest)
Sides: DE, FE, FD
Angles: <F, <D, <E
Step-by-step explanation:
DE = 14, FE = 10, FD = 8 (Biggest to smallest)
Each angle matches up diagonally with a side
Hope this helps!
Once you have identified the author’s claim and also located all of the evidence provided, how do you analyze the claim?
Decide if the evidence supports the claim well enough to convince most readers that it’s true.
Decide how the author should have supported the claim, instead of the way he or she chose.
Decide if the author should have done more research or worded the claim differently.
Decide whether or not you agree with the author’s claim, regardless of the evidence.
Answer:
Decide if the evidence supports the claim well enough to convince most reader that its true.
Step-by-step explanation:
Answer:Decide if the evidence supports the claim well enough to convince most readers that it’s true.
Step-by-step explanation:
HELP MARKING BRAINLEIST
Answer:
23y -8
Explanation:
perimeter: length measure of all sides
perimeter of this shape:
2y - 9 + 6y +10 +5y - 7 + 10y -2
group terms ↓
2y + 6y + 5y+ 10y -9 + 10 -7 -2
add basic numbers ↓
2y + 6y +5y +10y -8
final answer ↓
23y -8
The circular grass lawn of radius 35cm has a path of width 7cm. What is the area of the path?
pls ans i cant understand tis question
Radius of circular grass lawn(without path)=[tex]35 \: cm[/tex]
Radius of circular grass lawn (with path)=[tex]35 \: cm+7 \: cm=42 \: cm[/tex]
Area of circular path=[tex]\pi ( R + r)( R- r)[/tex]
[tex] = \displaystyle{ \frac{22}{7} (42 + 35)(42 - 35)}[/tex]
[tex] = \displaystyle{ \frac{22}{7} \times 77 \times 7}[/tex]
[tex] = \displaystyle{ \frac{22}{ \cancel7} \times \cancel{77} {}^{11} \times 7}[/tex]
[tex] = 22 \times 11 \times 7[/tex]
[tex] = 242 \times 7[/tex]
[tex] = 1649 {cm}^{2} [/tex]
[tex]\boxed{\red{\frak{unic0rntaking0ver}}}[/tex]
y is inversibly prportional to x when y=7 x=9
work out the value when x=21
Answer: a) Equation become xy=1 and the second part answer is b) y=1/21
Step-by-step explanation:
x^2 + 8x + 7 factor completely
Answer:
[tex]x^{2}[/tex]+8x+7
Step-by-step explanation:
you wanted it simplified or ..?
The price of an item has dropped to $50 today Yesterday it was $125 Find the percentage decrease.
Answer:
40% decrease.
Step-by-step explanation:
Your total after 4 games of bowling was $28
and after 6 games it was $40. What was the
initial cost to rent the shoes before bowling
any games?
Answer:
$4
Step-by-step explanation:
Let x be the cost of a game of bowling and y be the cost to rent the shoes before the game then...
4x+y=28
6x+y=40
We can solve this system using elimination. In this scenario, we can eliminate y by subtracting the two equations...
-2x=-12
Divide both sides by -2
x=6
Plug 6 back in for x to solve for y
4(6)+y=28
24+y=28
Subtract 24 from both sides
y=4
It costs $4 to rent the shoes before bowling
Katie wants to include stickers in the gift bags for a party. Stickers come in packs of 25. She wants to give each of the 17 guests at least 10 stickers. How many packs of stickers will she need? Write an equation that describes this situation.
Answer:
170
Step-by-step explanation:
don't know if its right
i calculate it...hope it help a little
The equation that describes the given situation and the number of packs required are; 25x = (17 * 10) and x = 7 packs
How to write algebraic equations?
We are told that;
Each sticker comes in a pack of 25
Now, she wants to give each of the 17 guests at least 10 stickers.
Let the number of packs she will require be x. Thus, the expression to describe this situation is;
25x = (17 * 10)
x = (17 * 10)/25
x = 6.8 packs
Approximating to a whole number gives us 7 packs of stickers required.
Read more about Algebraic Equations at; https://brainly.com/question/4344214
Last week, Kip went to the fair. It costs $3.43 to enter the fair and $1.00 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent.
y = $1.00x + $3.43
If Kip spent $23.43 at the fair, how many tickets did he buy?
Name the figure that Enrico drew below. (Lesson 10.1)
Answer:
ray
Step-by-step explanation:
A half-line is called a ray.
2.2^x +2.2^-3 =5 solve for x
Answer:
x = 2.0172
Step-by-step explanation:
2.2^x+2.2^-3=5
-> 2.2^x+0.093914 = 5
-> + -0.93914 + -0.93914
-> 2.2^x = 4.906086
-> x = log(4.906086/log(2.2)
-> x = 2.0172