The number of times the hydrogen ion concentration of Aeen’s drink is the hydrogen ion concentration of Marien’s drink is 4 approx.
How to decide how many times some number is bigger?The phrase "times bigger" shows this:
If a number 'x' is 't' times bigger than 'y', then that means:
[tex]x = t \times y[/tex]
It is because 'y' had to multiply itself with 't' to get in equal level of 'x'
How to find the hydrogen ion concentration from the pH value?A solution with 'x' as its pH contains [tex]10^{-x} mol/L[/tex] of hydrogen ions.
For the considered case, we have:
pH of beverage drank by Marien = 2.7,Thus, its hydrogen ion concentration is [tex]10^{-2.7}[/tex] = x (say)
pH of beverage drank by Aeen = 3.3,Thus, its hydrogen ion concentration is [tex]10^{-3.3}[/tex] = y (say)
Then, let x is t times bigger than y, then that means:
[tex]x = t\times y\\\\t = \dfrac{x}{y} = \dfrac{10^{-2.7}}{10^{-3.3}} = 10^{-2.7 - (-3.3)} = 10^{-0.6} \approx 4[/tex]
It is because of the property [tex]a^b \times a^c = a^{b+c}[/tex]
Thus, hydrogen ion concentration of Marien's drink is approx 4 times the hydrogen ion concentration of Aeen's drink.
Learn more about hydrogen ion concentration here:
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Encuentra el volumen de un cubo de 3:5 cm de arista
Answer:
Step-by-step explanation:
Dado que la longitud, la profundidad y la altura de un cubo son iguales, podemos acortar el proceso elevando al cubo cualquiera de estas medidas. Sigamos con el ejemplo. Dado que la longitud de cualquier arista de este cubo es de 5 cm (2 pulgadas), podemos hallar el volumen multiplicando 5 x 5 x 5 (o 53) = 125.
What does 2(3) mean?
The probability of a dart landing in the shaded area is approximately
Answer:
79%
Step-by-step explanation:
Area of rectangular region = 3*6 = 18 sq inches
Diameter of circle = 3 in
-> radius (r) = 3/2 = 1.5 inches
[tex]Area \: of\:both \: circular \: regions \\ =2( \pi {r}^{2} ) \\ =2( 3.14 \times {1.5}^{2} ) \\ = 14.13 \: {in}^{2} \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = \frac{Area \: of \: both \: circular \: regions}{Area \: of \: rectangular \: region} \\ = \frac{14.13}{18} \\ = 0.785 \\ \approx \: 0.79\\=79\%[/tex]
Rats have recently become a nuisance in Norwood. Efforts to control the rat problem have led to the rat population declining by 15% every year. If the town currently has 13,000 rats, how many rats will there be in 3 years?
The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the population of the chicken after x year.
The initial population of 13000 rats, hence a = 13000
The rat population declining by 15% every year. b = 1 - 0.15 = 0.85
The exponential function is given by y = 13000(0.85)ˣ
In 3 years; y = 13000(0.85)³ = 7984
The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984
Find out more on exponential function at: https://brainly.com/question/12940982
Factor the following quadratic:
[tex]3x^2+7x-6[/tex]
Step-by-step explanation:
Use the systematic new AC Method to factor trinomials (Socratic Search)
y
=3x2+7x−6
=3(x + p)(x + q)
Converted trinomial:
y'
=x^2+7x−18
= (x + p')(x + q').
p' and q' have opposite signs.
Factor pairs of (ac = -18) --> (-2, 9). This sum is 7 = b. Then p' = -2 and q' = 9. Therefore,
p ='p/a
= -2/3
and
q ='q/a
=9/3
=3.
Factored form: y = 3(x - 2/3)(x + 3) = (3x - 2)(x + 3)
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}
The answer is 2. Solve if you can. It is 100% correct.
[tex]\\ \rm\Rrightarrow \sqrt{9-4\sqrt{5}}+\sqrt{5}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9-8.8}+2.2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{0.2}+2.2[/tex]
[tex]\\ \rm\Rrightarrow 0.3+2.2[/tex]
[tex]\\ \rm\Rrightarrow 2.5[/tex]
[tex]\\ \rm\Rrightarrow 2(approx)[/tex]
Answer:
Algebraic "proof" that the solution is 2:
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}[/tex]
[tex]=\sqrt{4-4\sqrt{5}+5 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{2^2-4\sqrt{5}+(\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=(2-\sqrt{5})+\sqrt{5}[/tex]
[tex]=2[/tex]
However, this is not the correct mathematical solution to the problem.
The order of operations for [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] dictate that the operation inside the parentheses must be carried out first.
As [tex]2-\sqrt{5} < 0[/tex], then [tex](2-\sqrt{5})^2[/tex] will always be positive.
If [tex](2-\sqrt{5})^2[/tex] is always positive, then [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] will always be positive.
As √5 > 2 and [tex]\sqrt{(2-\sqrt{5})^2 } > 0[/tex] then [tex]\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5} > 2[/tex]
So mathematically, the actual solution to the expression is 2.47 (nearest hundredth) not 2.
Matty and his friends ate 4/5 of the 10 pieces of jolly ranchers that they had. Which is a reasonable answer for 4/5 x 10
4/5
8
10
Answer:
the answer is 8
Step-by-step explanation:
first i did 4/5x2=8/5=8/10
Answer:
8.
Step-by-step explanation:
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
A group of friends decides to share a limo for prom. The rental cost is $750 plus a $25 fee for each occupant. There is a
minimum of two passengers, and the limo can hold up to 14 people. Write and solve an inequality to determine how many
people can share the limo for less than $120 per person.
Answer:
8 people
Step-by-step explanation:
120x=750+25x
120x-25x=750
95x=750
x=7.89
round up to 8 and check answer
(25×8)+750=950
950÷8 people =$118.75 per person
help asap for brainlist!!!
Answer:
The system of equations has no solution.
Step-by-step explanation:
set them equal to eachother. 3x+9=3x-4
Subtract 3x from both sides, giving you 9=-4, which is an equation that is not true because 9 does not equal negative 4. Therefore, there is no solution to this system.
Please help me with this
Answer:
Just search from other websites
Step-by-step explanation:
easy
Please solve the question. Unit 10: circles homework 2: Central angles, arc measures, and arc length.
The central angle (127 degrees) is the angle at point K
The measures of JL and JML are 127 and 233 degrees, respectively
How to determine the measures of angles JL and JML?From the complete question, we have:
JL = 127 degrees.
The sum of angles at a point is 360 degrees
So, we have:
JML + 127 = 360
Subtract 127 from both sides
JML = 233
Hence, the measures of JL and JML are 127 and 233 degrees, respectively
Read more about circles and arcs at:
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The temperature at noon on a cold winter day was −14 3/4 °F. By evening, the temperature had dropped to −18 1/4 °F. By how much did the temperature change?
Answer:
temperature decreased by -3.5 degrees
Step-by-step explanation:
-14 3/4 = -14.75
-18 1/4 = -18.25
-14.75 + X = -18.25
X = -3.5 or -3 2/4
2 to the power minus 6 as a fraction
Answer:
1/64
Step-by-step explanation:
A negative exponent in essence brings your 2^6 value under 1. So your problem would now look like 1/(2^6). From there it is easy simplifying, knowing hat 2^6 = 64. So your answer turns out to be 1/64.
2 to the power minus 6 as a fraction would be equal to 1/64
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A negative exponent in essence brings 2^6 value under 1.
So 1/(2^6).
From there it is easy simplifying, knowing that;
2^6 = 64.
Therefore, the answer turns out to be 1/64.
2 to the power minus 6 as a fraction would be equal to 1/64
More about the Algebra link is given below.
brainly.com/question/953809
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A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, six vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 114 150 3,066 6,138
Answer:
6,138
Step-by-step explanation:
Given the following:
Vocalist needed :
First day (a) = 6
For subsequent days : number doubles
Using the relation. :
Sn = a(r^n -1)/(r -1)
Where a = first term = 6
r = common ratio = r3/r2 = r4/r3
Since number doubles after each consecutive day, then ; r = 2, n = 10
Sn = 6(2^10 -1)/(2 -1)
Sn = 6(1024 - 1) / 1
Sn = 6144 - 6
Sn = 6138
Factor the expression 4x + 32. Explain each step you
take in the process.
Answer:
4(x+8)
Step-by-step explanation:
4(x+8)= 4 X x + 4 X 8
= 4x + 32
Answer: 4(x+8)
because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32
Step-by-step explanation:
Andrea has placed a stamp on 1 of the 4 envelopes shown below.
What fraction of the set of 4 envelopes did Andrea place the stamp?
Answer:
1/4
Step-by-step explanation:
The one of of four makes the fraction 1/4. Reason: MATH
PS:
PLS MARK ME AS BRAINLEST
Item 21
Question 1
Write and solve an inequality that represents the value of x.
Area <30 cm2
Answer:
1st: 5x
2nd: 6ft
Step-by-step explanation:
I really don't know how just got the answer right.
Solve the inequality.
Question 1
3y≤−9
Whats the solution
Answer:
y ≤ -3
Step-by-step explanation:
3y ≤ -9
y ≤ - 9/3
y ≤ -3
Please mark me the brainliest!?!
Solve for x in the equation X^2+2x+ 1 = 17
x=-1+ V15
x=-17 17
X=-2+25
x=-12 13
Answer:
it would be the last answer
Step-by-step explanation:
Emma works two jobs. At her day job, she earns $8/hour and works for 3 hours. She works her evening job for 9 hours and earns $14.50/hour. How much does she make on average per hour for the day? Explain the process of finding Emma's average wage per hour.
Answer: $12.875
Step-by-step explanation:
Emma works two jobs. At her day job, she earns $8/hour and works for 3 hours. Total amount earned will be:
= $8 × 3 = $24
She works her evening job for 9 hours and earns $14.50/hour. Total amount earned will be:
= $14.50 × 9 = $130.5
Total amount earned will now be:
= $24 + $130.5
= $154.5
Since she works a total of: 3 hours + 9 hours = 12 hours per day, the amount made on average per hour will be:
= $154.5/12
= $12.875
What is 2 to the x power
Answer:
2^x
Step-by-step explanation:
Since we are needing to show how this is written, x is a power so it will be written small and will go to the upper right corner of the 2 :)
When you see a number like this, we are multiplying 2 by intself x times :)
Hope this helps!
Havea great day!!
Please rate and mark brainliest!!
the legend on the map states that 1 cm is 15 km. if you measure 11 cm on the map, how many kilometers would the actual distance be?
Answer:
165 km
Step-by-step explanation:
We know the ratio of map distance to actual distance is 1 cm : 15 km
Multiplying both sides by 11, we have 11 cm : 165 km
Suzy has 3 apples and 2 cherries how much fruit does she have?
Answer:
5
Step-by-step explanation:
3+2=5
✎Question:.
[tex]Suzy \: has \: 3 \: apples \: and \: 2 \: cherries \: how\: much \: fruit \: does \: she \: have?[/tex]
✎Given:
3 apples2 cherries✎Answer:
Total fruits=apples+cherries
=2+3
=5✓
Help please I don’t understand
find the value of x will mark brainliest and all tht jazz
Answer:
x = 20
Step-by-step explanation:
these are alternate interior angles, which means they're equal.
you can use that information to make this equation:
x + 40 = 3x
subtract x from both sides
40 = 2x
divide both sides by 2
20 = x
Please solve this equation
Answer:
l = √10
Step-by-step explanation:
We're given the value of a as 3 feet and the value of b as 1 feet (because 2/2 = 1). We are to find the value of l using Pythagorean Theorem.
[tex]3^2+1^1=l^2[/tex] [tex]9+1=l^2[/tex] [tex]10=l^2[/tex] [tex]l=\sqrt{10}[/tex]Therefore, the answer is √10 feet.
there are 180 flavors of ice cream at an ice cream store. 1/4 of the flavors contain nuts. 1/3 of the flavors contain fruit. 1/6 of the flavors contain chocolate chips. the rest of the flavors contain candy. how many flavors contain candy?
A. 45
B. 135
C. 90
D. 75
Question 10 of 10
Which best describes the range of a function?
A. The greatest possible input value
B. The greatest possible output value
C. The set of all possible input values
D. The set of all possible output values
Step-by-step explanation:
D.the set of all possible output values.
Use the distributive property to simplify the
expression.
8(3 + 4) = 24+ ?
Answer:
32
Step-by-step explanation:
8(3 + 4) ← multiply each term in the parenthesis by 8
= 8(3) + 8(4)
= 24 + 32
brainliest for correct answer
the answer to this problem is 63
Answer:
A
Step-by-step explanation:
47+58=105 then you just subtract 7 from 75 and you get 68 than you divide 68 by 2