\(pH = 5.08\)
Step-by-step explanation:
The pH of a solution can be calculated from its hydronium concentration using the equation below:
\(pH = -\log [H_3O^+]\)
where \([H_3O^+]\) is the hydronium ion concentration in mol/liter unit. This notation is the same as the more familiar symbol \([H^+]\) for hydrogen ion concentration. Since the hydronium ion concentration is \(8.3×10^{-6}\:\text{mol/L},\) the pH value of the solution is
\(pH = -\log (8.3×10^{-6}) = -(5.08) = 5.08\)
This means that the solution is acidic since its pH value is below 7.
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
A third method, referred to as the “mid-parent rule,” uses a weighted average of the parents’ heights in inches in which the height of the opposite-gender parent is multiplied by a factor of 12/13 before it is averaged with the other parent’s height.Use the variable D, (which represents the height of dad) and M, (which represents the height of mom)Write the formula for a boy’s adult height.(6 points) Write the formula for a girl’s adult height.(6 points)
We have to write the formula of the height H of a boy in function of the father's height (D) and the mother's height (M) using the mid-parent rule.
The opposite gender for the boy will be its motehr gender. Then, the mother's height will be multiplied by the factor 12/13 before averaging with the father's height.
Then, we can write the corrected mothers height as:
\(M^{\prime}=\frac{12}{13}M\)Then, averaging both heights (father's heigth D and corrected mother's height M'), we get:
\(\begin{gathered} H=\frac{D+M^{\prime}}{2} \\ H=\frac{1}{2}(D+\frac{12}{13}M) \\ H=\frac{D}{2}+\frac{12}{2\cdot13}M \\ H_{\text{boy}}=\frac{D}{2}+\frac{6}{13}M \end{gathered}\)In the case of a girl's adult height, we change the opposite gender so the father's heihgt is affected by the factor.
Then, the height of the girl will be:
\(\begin{gathered} H=\frac{1}{2}(D^{\prime}+M) \\ H=\frac{1}{2}(\frac{12}{13}D+M) \\ H_{\text{girl}}=\frac{6}{13}D+\frac{M}{2} \end{gathered}\)Answer:
a) The boy's height will be H = (1/2)*D + (6/13)*M
b) The girl's height will be H = (6/13)*D + (1/2)*M
What is the measure of n?
m
n
44
11
n
=
[?]
Enter
please help me i’ll give u brainliest rn
Answer:22
Step-by-step explanation:
66 2/3% of what number is 36?
Answer:
54
Step-by-step explanation:
66 2/3 % is 2/3 of 100, so (36/2)*3=54
Solve 1-4 to be mark brainiest and show your work!
Answer:
Hope you understand not to sure but that's what I got
Data were recorded for a car's fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour
(mph). Given the least-squares regression line, In(Fuel Efficiency) = 1.437 +0.541 In(Speed), what is the fuel efficiency
for a speed of 60 mph?
A)3.65 mpg
B)33.90 mpg
C)36.52 mpg
D)38.55 mpg
The fuel efficiency for the speed of 60 mph is (d) 38.55 mpg
How to determine the fuel efficiency for the speed?From the question, we have the following least-squares regression line equation that can be used in our computation:
ln(Fuel Efficiency) = 1.437 +0.541 In(Speed)
Also from the question, we have the following parameters:
Speed = 60 mph
This means that we substitute 60 mph for speed in the given equation
ln(Fuel Efficiency) = 1.437 + 0.541 In(Speed)
So, we have the following representation
ln(Fuel Efficiency) = 1.437 + 0.541 In(60)
Take the natural logarithm of 60
This gives
ln(Fuel Efficiency) = 1.437 + 0.541 * 4.09434456222
Evaluate the products
So, we have the following representation
ln(Fuel Efficiency) = 1.437 + 2.21504040816
Evaluate the sum
So, we have the following representation
ln(Fuel Efficiency) = 3.65204040816
Take the exponent of both sides
Fuel Efficiency = e^(3.65204040816)
Evaluate
Fuel Efficiency = 38.5532502162
Approximate
Fuel Efficiency = 38.55 mpg
Hence, the fuel efficiency is (d) 38.55 mpg
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ASAPP PLEAASSEE!!!
Nathan deposits $940 every 2 months into his daughter's RESP. If the account earns 3.99% / annual, compound quarterly, how much will be in the account after 25 years?
There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (amount in the account after 25 years)
P = Principal amount (amount deposited every 2 months)
r = Annual interest rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.
Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.
Now, we can substitute these values into the formula:
A = 940(1 + 0.0399/4)^(4*25)
Calculating the exponent first:
(1 + 0.0399/4)^(4*25) ≈ 2.703236
Now, substituting the calculated exponent and the number of deposits into the formula:
A = 940 * 2.703236 * 150 ≈ $594,311.34
Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.
It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.
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some students are painting a mural on the side of a building. they have enough paint for a 1000-square-foot area triangle. if two sides of the triangle measure 60 feet and 120 feet, then what angle (to the nearest degree) should the two sides form to create a triangle that uses up all the paint
The angle is 16 degrees or 164 degrees.
Any triangle that is not a right triangle is said to be oblique. There are two types of triangles: acute triangles, in which all three angles are less than right angles, and obtuse triangles (one of the three angles is greater than a right angle). Actually, right triangles could equally well be included in the category of "oblique triangles" for trigonometric purposes. In that case, studying oblique triangles is basically studying all triangles.
Given, the area of an oblique triangle which is going to be used as an area of the formula backward to find a missing measure.
We know two side lengths of the triangular region 60 ft and 1 20 ft
Area = 1000-square-foot
A= 1/2*60*120=1000
A=3600=1000
Dividing both sides with 3600,
We get an angle of 16 degrees.
But it is also possible that the area will be the same. If we use this in supplementary angle as well we get,
180-16 = 164 degrees.
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find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
\(12=2\times 2\times 3\)
\(21=3\times 7\)
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
Find my number. The tens digit is two less than the units digits and the sum of the digits is 8.
Answer:
68
Step-by-step explanation:
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Simplify 8(x + 7) + 8 over 3(x + 5) + 9
Answer:
8/3
Step-by-step explanation:
First you simplify 8(x+7) +8, which is 8x +64. then you simplify 3(x+5)+9, which is 3x+24. To simplify 8x+64 over 3x+24 is easy, because you just get rid of the x's, and divide by eight. So that's 8/3
Answer:
8/3
Step-by-step explanation:
First you simplify 8(x+7) +8, which is 8x +64. then you simplify 3(x+5)+9, which is 3x+24. To simplify 8x+64 over 3x+24 is easy, because you just get rid of the x's, and divide by eight. So that's 8/3
Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the
difference in his speeds is 13.5 km/hour?
O x-41.5=13.5
O 415+x= 13.5
O 13.5-x=41.5
O 13.5-41.5=x
A runner sprinted 103.76 yd to finish a race.
Use the table of facts to find the distance she sprinted in feet.
Round your answer to the nearest tenth.
Answer:
311.3 feet
Step-by-step explanation:
1 yard = 3 feet
Therefore, 103.76 yards = 311.28 feet (by multiplying 103.76 by 3)
Rounding to the nearest tenth gives us 311.3 feet.
What is the quotient of 2.538\times 10^92.538×10
9
and 2.7 \times 10^22.7×10
2
expressed in scientific notation?
IF U DON"T KNOW THE ANSWER DON"T ANSWER & work it out plss
The quotient of 2.538 ×10^9 and 2.7×10^2 expressed in scientific notation is : 0.94 × 10^6.
Scientific notationGiven:
2.538 × 10^ 9 and 2.7 × 10^ 2
We have to first of all formulate before determining the scientific notation
(2.538 × 10^ 9) ÷ (2.7 × 10^2)
Rewrite as fraction
2.538 × 10^9 ÷ 2.7 × 10^2
simplify
2.538 ÷ 2.7 × 10^ 9-2
= 2.538 ÷ 2.7 × 10^7
Convert the fraction to decimal
0.94 × 10^7
Now let express it in scientific notation
Scientific notation = 94 × 10^6
Therefore the scientific notation is 94 × 10^6.
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The correct question is:
What is the quotient of 2.538 ×10^9 and 2.7×10^2 expressed in scientific notation
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.
express the following ratio as fraction and reduce them to their simplest form 200 meters : 1.4 kilometre
Step-by-step explanation:
200m:1.4km
200m:1400m
1:7
what is the translated algebraic expression for 7 less than x
Answer:
x-7
Step-by-step explanation:
The area a of A square is the length of a side L squared. Translate into an equation or formula.
The equation or formula for the expression is written as A = L²
Area of a squareA square is a 2 dimensional shape with 4 sides and angles. The interior angle of a square are 90 degrees each.
Given the statement that "the area a of A square is the length of a side L squared", the equation or formula for the expression is written as:
A = L²
where "²" is termed as squared
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Need help with this math question
The correlation coefficient is -0.87; strong correlation
How to determine the correlation coefficient?The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
X Values
∑ = 27.1Mean = 2.71∑(X - Mx)2 = SSx = 22.569Y Values
∑ = 89Mean = 8.9∑(Y - My)2 = SSy = 778.9X and Y Combined
N = 10∑(X - Mx)(Y - My) = -114.19R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
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How many feet would a 27-inch object measure?
Answer:
2 feet 3 inches
Step-by-step explanation:
So we know there are 12 inches in one foot. so 27/3= 2 remainder 3. So the answer is 2 feet 3 inches
Which of the following graphs represents the equation y + 2 = 3(x - 1)?
Answer:
The graph I put is what should match!
Step-by-step explanation:
Determine whether the variable is qualitative or quantitative. Model of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because it is an attribute characteristic. B. The variable is qualitative because it is an attribute characteristic. C. The variable is qualitative because it is a numerical measure.
D. The variable is quantitative because it is a numerical measure.
A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.
The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.
Therefore, option B is the correct answer.
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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
What is a qualitative variable?A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.
The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.
Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
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Consider the function
y = 2x.
Complete the table of points for
x = −2, −1, 0, 1, 2.
Find the exact y-values.
The table representing the exact values of y from the function is attached below.
In mathematics, a function from a set X to a set Y assigns each element of X exactly one element of Y. The sets X and Y are referred to as the function's domain and codomain, respectively.
Functions were initially the idealisation of how a changing quantity depends on another quantity, and they can be traced back to the works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. A planet's position, for instance, depends on time. The idea of a function was developed historically at the end of the 17th century with the infinitesimal calculus function, and until the 19th century, the functions that were taken into consideration were differentiable (that is, they could be divided into two parts).The given function is of the form y = 2x .
Now let us find the respective values of y for the given values of x.
At x = -2
y = 2x = 2 × (-2) = -4
At x = -1
y = 2x = 2 × (-1) = -2
At x = 0
y = 2x = 2 × (0) = 0
At x = 1
y = 2x = 2 × (1) = 2
At x = -2
y = 2x = 2 × (2) = 4
Therefore the table to represent this y-values of the function is \(\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}\)\(\begin{table}[]\begin{tabular}{ll} & \\ & \\ & \\ & \\ & \end{tabular}\end{table}\)attached below.
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Find the equation of a parabola with vertex on the y-axis if points P(x1, 0) and R(3, 9) belong the parabola, the area of △PQR is 40.5sq.units, and point Q has coordinates (3, 0).
Answer:
1.961x^2 - 8.647.
Step-by-step explanation:
I'm assuming the area of the triangle is 4.05 unit^2.
RQ is perpendicular to the x-axis.
The length of RQ = 9 so the area of the triangle
= 1/2 *9 * PQ = 4.05
PQ = 4.05 / 4.5 = 0.9.
So the value of x1 = 3 - 0.9 = 2.2.
The vertex is on the y-axis so the equation will be of the form ax^2 + c = 0.
So, as P (2.1, 0) and R(3, 9) are points on the parabola we have the system:
(2.1)^2a + c = 0
(3)^2a + c = 9
4.41 a + c = 0
9a + c = 9 Subtract:
4.59a = 9
a = 1.961
and c = -4.41* 1.961 = - 8.647,
What is the factored form of 8x24-27y6?
o (8x-27y2) (2x¹+xy+3y*)
ọ (2x³− 3y²)(4x¹6−6x³y² +9y4)
0 (2x³-3y²) (4x¹6 +6x³y² +9yª)
(8x-27y²) (2x¹6-Bxy+3y4)
The factored form of \(8x^{2} 4 - 27y^{6}\) 8x²4 - 27y⁶
To factor this expression, that it is in the form of a difference of two squares.
Specifically, 8x²4 is equal to (2x²)³ and 27y⁶ is equal to (3y²)³.
the formula for the difference between two cubes, states that:
\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\) (a³ - b³ = (a - b)(a² + ab + b²)
Substituting \(a = 2x^2\) a = 2x² and \(b = 3y^2\) b = 3y², gives
\(8x^24 - 27y^6 = (2x^2)^3 - (3y^2)^3= (2x^2 - 3y^2)(4x^2 + 6x^2y^2 + 9y^4)\)
8x²4 - 27y⁶ = (2x²)³ - (3y²)³ = (2x² - 3y²)(4x⁴ + 6x²y² + 9y⁴)
Therefore, the factored form of \(8x^{2} 4 - 27y^{6}\) 8x²4 - 27y⁶ is \((2x^2 - 3y^2)(4x^4 + 6x^2y^2 + 9y^4).\)(2x² - 3y²)(4x⁴ + 6x²y² + 9y⁴).
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Graph the linear inequality.
x + 2y ≥ - 6
Answer:
I used Desmos Graphing Calculator
Step-by-step explanation:
I NEED HELP WITH THIS ASAP!!!
Answer:
a: 42%
b: don't have the info for
c: 48%
d: don't have info for
e: don't have info for
f: don't have info for
Step-by-step explanation:
sorry I cant answer everything
Simplify the expression: 3 * | -25 ÷ 5 |
Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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