Lizzie's divisibility test states that a number n is divisible by a certain number m if and only if the alternating sum of its two-digit chunks is divisible by m.
How does Lizzie's divisibility test work?Lizzie's divisibility test involves breaking a positive integer into two-digit chunks, finding the alternating sum of these chunks, and then determining if the result is divisible by a certain number m.
To apply the test:
Break the positive integer n into two-digit chunks from right to left.Calculate the alternating sum of these two-digit numbers, adding the first number, subtracting the second, adding the third, and so on.Find m, the divisor for which you want to test divisibility.If the result of the alternating sum is divisible by m, then n is also divisible by m.To prove that this is a divisibility test for m, you need to show that n is divisible by m if and only if the result of the alternating sum is divisible by m.
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how many significant figures are in the measurement 0.00001 meters?
Answer:
1 significant figure
Step-by-step explanation:
Zero is significant when:
It occurs between two non-zero integers, such as 408; it occurs at the end of a number that contains a decimal point, such as 570. or 1.300
Zero is not significant when:
It is before the first non-zero integer, such as 0.0057 (two significant figures); it is at the end of a number that does not contains a decimal point, such as 253,000 (three significant figures)
(trust me I'm taking chemistry this year and literally that is the 'rule' that is written down in my notebook)
Mrs. VanDuker bought her puppy 4 chew toys for $4.25 each. She paid for the toys with a $20.00 bill. How much change should she receive from her purchase?
Answer:
$3
Step-by-step explanation:
May I please receive help?
Please?
\(\huge\colorbox{red}T\colorbox{orange}h\colorbox{yellow}a\colorbox{green}n\colorbox{blue}k\colorbox{purple}s\)
Answer:
17 degrees
Step-by-step explanation:
Now, this depends on the value of the lines, however, I do see a right angle in the corner, letting us know that the total equals 90 degrees
Here's the tricky part; the width.
When it comes to graphs, never look at the width of the angle and assume it's a large angle. They use that as a tactic to trick you into thinking the angle will be large, always go based on the angles shown in the example.
We know that one part of the angle is already 73 degrees, the remaining amount is what we try to figure out. You could go about this two ways:
1) Do simple math! Out of 90, you already have 73. Subtract
2) Format the equation! This is the same thing as the first option, but write it out instead:
x + 73 = 90
x = 13
I really hope this helps you! Have a great rest of your day/night/evening/afternoon!
(Also, I need brainliest for a upgrade if you dont mind)
Solve:
(-5) + (-18) =
A-13
B
--23
C С
23
D
13
it is -23 I think
Step-by-step explanation:
(-5)+(-18)=-23
describe and explain the difference between the mean, median, and mode. choose the correct answer below
Answer: Mean is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.
Step-by-step explanation:
find the equation
16(4-3m)=96(-m/2+1)
Show your work
First answer will be marked brainliest!
Answer:
1 1/2 or 1.5
Step-by-step explanation:
You would multiply 16 by 4 and -3m cuz they are is ().You would also do the same for 96 time -1/2m and 1
64 - 48m = -48m+96
Then you would have to add 48 to both sides to cancel out both -48m
64=96
Now to get you final answer do 96/64 which would equal your answer 1.5
Answer:
No solution
Step-by-step explanation:
First distribute.
16*4=64
16*-3m=-48m
64-48m=96(-m/2+1)
96*-m/2=-48m/1
96*1=96
64-48m=-48m+96
add 48m to both sides, getting rid of the 48m.
64=96
since 64 does not equal 96 there is no solution.
Not all equations have solutions.
Solve for the variable. Show all work. |6x| - 8 = -8
Answer:
x = 0
Step-by-step explanation:
|6x| - 8 = -8
Add 8 to each side
|6x| - 8+8 = -8+8
|6x| = 0
Removing the absolute value
6x = 0
Divide by 6
6x/6 = 0/6
x = 0
Jayla puts $800.00 into an account to use for school expenses. The account earns 4%
interest, compounded annually. How much will be in the account after 8 years?
= P(1 + ²)^², \ where A is the balance (final amount), P is the principal
I
Use the formula A =
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
What is 20% of 75?
pls help, tyy!!
After calculating the questiοn, we get that the value οf 20% οf 75 is 15.
What is percentage?A value οr ratiο that may be stated as a fractiοn οf 100 is referred tο in mathematics as a percentage. Divide the number by the tοtal and multiply by 100 tο find the percent οf a given number. Therefοre, the percentage refers tο a pοrtiοn per hundred. Per 100 is what the wοrd percentage signifies. The letter "%" stands fοr it.
Percent changes applied sequentially dο nοt add up in the usual way. Fοr example, if the 10% increase in price cοnsidered earlier (οn the $200 item, raising its price tο $220) is fοllοwed by a 10% decrease in the price (a decrease οf $22), then the final price will be $198—nοt the οriginal price οf $200.
Here the given is,
=> 20% of 75
=> 20% \(\times\)75
=> \(\frac{20}{100}\times 75\)
=> 5\(\times 3\)
=> 15.
Hence the value of 20% of 75 is 15.
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Will Mark Brainlest Help pls
Answer:
Hello,
\(\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\\)
Step-by-step explanation:
\(\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\\)
In each of the following equations, determine which variable represents the angle and which variable represents the value of the trigonometric function. (a) In the equation q = sin d, represents the angle and represents the value of the trigonometric function. (b) In the equation p = tan^1 c, represents the angle and represents the value of the trigonometric function. (c) In the equation arccos n = upsilon, represents the angle and represents the value of the trigonometric function.
a) q= sin d
Angle is represented by d, and value is represented by q.
b) p = tan1 c
Angle is represented by c, and value is represented by p.
c) arccos n = ν
Angle is represented by n, and value is represented by v.
Given that,
We have to find the variables that indicate the angle and the value of the trigonometric function in each of the following equations.
In the following three equations:
(a) q = sin d;
(b) p = tan1 c; and
(c) arccos n = ν,
We know that,
a) q= sin d
Angle is represented by d, and value is represented by q.
b) p = tan1 c
Angle is represented by c, and value is represented by p.
c) arccos n = ν
Angle is represented by n, and value is represented by v.
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1. Calculate the Probability of Winning Lotto 6/49
2. Calculate the Odds in Favour of Winning Lotto 6/49
3. Calculate the Odds Against Winning Lotto 6/49
1. The probability of winning Lotto 6/49 is:
1/49C6 = 1/13,983,816
2. the odds in favour of winning are:
1 : 13,983,815
3. The odds against winning are:
13,983,815 : 1
1. To calculate the probability of winning Lotto 6/49, we need to find the number of ways we can win and divide it by the total number of possible outcomes.
In this case, there are 6 numbers drawn from a set of 49, so there are 49C6 (49 choose 6) possible combinations. The number of ways to win is simply 1 (there is only one winning combination). Therefore, the probability of winning Lotto 6/49 is:
1/49C6 = 1/13,983,816
2. To calculate the odds in favour of winning Lotto 6/49, we need to compare the number of ways to win to the number of ways to not win. There is only 1 way to win and 13,983,815 ways to not win. Therefore, the odds in favour of winning are:
1 : 13,983,815
3. To calculate the odds against winning Lotto 6/49, we need to compare the number of ways to not win to the number of ways to win. There are 13,983,815 ways to not win and only 1 way to win. Therefore, the odds against winning are:
13,983,815 : 1
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de las 240 fichas que tiene un niño, 48 son rojas ¿cual es el porcentaje de las fichas rojas? debe ir desarrollo
what’s the answer for this question
Answer:
What is the perimeter? 89 cm
Step-by-step explanation:
(35.2 + 11.9) + (35.2 + 12.7)
= 47.1 + 47.9
= 89 cm
Find RS.
A. 12
B. 5
C. 10
D. 9
Answer:
5
Step-by-step explanation:
(2x - 6) + 1 + (x - 4) = 18
3x - 9 = 18
3x = 27
x = 9
RS = x - 4 = 9 - 4 = 5
Answer:
B. 5
Step-by-step explanation:
Pls mark brainiest if helpful!!
PQ + QR + RS = 18
This statement is equivalent to the following:
(2x - 6) + 1 + (x - 4) = 18.
This is because we substitute the line segments with their values.
Now that we have an equation to work with, we will solve it. We start by removing the parenthesis as they are not necessary here.
2x - 6 + 1 + x - 4 = 18
Next, we will make it, so x is alone on the left. We will do this by adding 6 and 4 to both sides
2x - 6 (+6) + 1 + x - 4 (+4) = 18 (+6) (+4)
After doing this we are left with the following equation:
2x + 1 + x = 28
Now we will subtract 1 from both sides to make x alone of the left side of the equation.
2x + 1 (-1) + x = 28 (-1)
After we solve this, we get the following:
2x + x = 27
We can add 2x and x and get 3x because 2 + 1 = 3.
3x = 27
We now simplify this equation by dividing both sides by 3.
\(\frac{3x}{3}\) = \(\frac{27}{3}\)
We again simplify the equation to the following:
x = 9
BUT THATS NOT THE ANSWER!
Now that we know what x is, we can solve for the value of RS.
We input 9 for x in the equation x - 4.
When we do this, we get 9 - 4 which is 5.
And this is our final answer!!
I hope I could help! Have an amazing day and good luck on your homework!
"You can't predict the future, but you can create it"
-Juliana Palazzolo, 2022
Pls mark brainiest if helpful!!
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help hgfgghchjhgfuutfifiuiffiy
Answer:
105, n+5
Step-by-step explanation:
add five to each input
The radius of a circle is 6.1 kilometers. What is the circle's circumference?
Use 3.14 for r and round your answer to the nearest hundredth.
I believe there's a mistake in the question, as "r" usually stands for "radius" and not the value of pi. Assuming you meant to ask for the circumference, the correct formula would be:
Circumference = 2πr
where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14.
Using this formula and the given radius of 6.1 kilometers, we get:
Circumference = 2 x 3.14 x 6.1
Circumference = 38.284 kilometers (rounded to the nearest hundredth)
Therefore, the circumference of the circle with a radius of 6.1 kilometers is approximately 38.28 kilometers.
amirah can type 720 words in 16 minutes,lixin can type 828 words in 18 minutes and shirley can type 798 words in 19 minutes , who is the fastest typist ?
Answer:
Lixin is the fastest typist
Step-by-step explanation:
Amirah = 45
Lixin = 46
Shirley = 42
We divide the words by minutes which is basically Unit rate
So we take each person and divide by their words and minutes
\(\frac{words}{minutes}\)
ALWAYS when ur finding unit rate divide the buggest number by the smallest!
25 points:)
question 2-3
Answer:
2) r=73
Step-by-step explanation:
all 4 sided shapes add up to 360.
so 90+90=180
180+107=287
360-287=73
so r=73
A plant measured x inches tall last week and 8 inches tall this week.
Which expression represents the number of inches the plant grew this week? Explain how you know.
8 - x
x - 8
Answer:
8 - x
Step-by-step explanation:
8 - x; this is because the "x" inches last week is smaller than how tall it is this week, therefore, x - 8 would make the difference a negative number which isn't possible, leaving the option of 8 - x
Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP
Answer:
x = .23
x = 1.43
Step-by-step explanation:
1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:
\(3x^{2} -5x+1=0\)
2. Solve with the quadratic formula and you get:
\(\frac{5+\sqrt{13} }{6}\) and \(\frac{5-\sqrt{13} }{6}\) which is x = .23 and x = 1.43.
Answer:
here is my answer
Step-by-step explanation:
we want to estimate the proportion p of all registered voters in the city who plan to vote for guatafson with 95% confidence and a margin of error no greater than .03. how large a sample
To estimate the proportion of all registered voters in the city who plan to vote for Guatafson with 95% confidence and a margin of error no greater than 0.03, a sample size of 1067 is required.
How to calculate the sample size: Sample size is calculated using the following formula:
n = (z^2 * p * (1 - p)) / E^2
Where: n is the required sample size. z is the confidence level (in this case, it is 1.96 for 95% confidence level)p is the estimated proportion of the population who plan to vote for Guatafson (unknown)E is the margin of error (in this case, it is 0.03)
Therefore,n = (1.96^2 * p * (1 - p)) / 0.03^2. For a conservative estimate, p is assumed to be 0.5, which gives the maximum sample size required. So,n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.03^2 = 1067.11
So, to estimate the proportion p of all registered voters in the city who plan to vote for Guatafson with 95% confidence and a margin of error no greater than 0.03, a sample size of 1067 is required.
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---QUICK Answer I will mark you brainlist
6 cm are cut from a 24 cm board. What is the percent decrease in length?
Answer:
The percentage in length of the board is 25%
Solve for x:
3x9 = 5x - 3
Answer:
x = 6
Step-by-step explanation:
3x9 = 27
27 = 5x -3
________
+3 +3
30 = 5x
divide 30 from 5
x = 6
Answer:
3x-5x=-3-9
-2x=-12
X=6
Step-by-step explanation:
First solve for x , you should always put x or any other variable on one side. In this case 3x-5x
Write an INEQUALITY that represents the sentence
1) The sum of a number and 5 is less than 7
2) The product of a number and 8 is at least 25
3) Six less than a number is greater than 54
4) the quotient of a number and 12 is no more than 6
Answer:
Step-by-step explanation:
Let n represent the unknown number.
1) The sum of a number and 5 is less than 7 becomes n + 5 < 7
2) The product of a number and 8 is at least 25 becomes 8n ≥ 25
3) Six less than a number is greater than 54 becomes n - 6 > 54
4) the quotient of a number and 12 is no more than 6 becomes n/12 ≤ 6
The circumference of the hub cap of a tire is 74.04 centimeters. Find the area of this hub cap. Use 3.14 for pi.
Using the circumference, the area of the hub cap is obtained as approximately 437.21 square centimeters.
What is circumference?
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.
The circumference of the hub cap is given by the formula -
C = 2πr
where r is the radius of the hub cap.
We can solve for the radius by dividing both sides by 2π -
r = C / 2π
r = 74.04 / 2(3.14)
r ≈ 11.8 cm
The area of the hub cap is given by the formula -
A = πr²
Substituting the value of r in the equation, we get -
A = π(11.8)²
A = 3.14 × 139.24
A ≈ 437.21 cm²
Therefore, the area of the hub cap is 437.21 square centimeters.
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Diesel fuel (c12h26) at 25 0c is burned in a steady- flow combustion chamber with 40 % excess air that also enters at 25 0c. the products leave the combustion chamber at 440 k. assuming combustion is complete, determine the required mass flow rate of the diesel fuel to supply heat at a rate of 2400 kj/s.
To determine the required mass flow rate of diesel fuel to supply a heat rate of 2400 kJ/s, we need to consider the energy balance in the combustion chamber. Assuming complete combustion and given the initial and final conditions, we can calculate the mass flow rate using the energy equation and the heating value of diesel fuel.
The energy balance equation for the combustion chamber can be written as:
Q_dot = m_dot_fuel * HHV_fuel + m_dot_air * Cp_air * (T_out - T_in)
where:
Q_dot is the heat rate (2400 kJ/s),
m_dot_fuel is the mass flow rate of diesel fuel,
HHV_fuel is the higher heating value of diesel fuel,
m_dot_air is the mass flow rate of air,
Cp_air is the specific heat capacity of air,
T_out is the temperature of the products leaving the combustion chamber (440 K),
and T_in is the temperature of the air entering the combustion chamber (298 K).
Since the combustion is complete, the air-to-fuel ratio can be determined using the stoichiometry of the reaction:
C12H26 + (37/2)O2 -> 12CO2 + 13H2O
For every 1 mole of diesel fuel, we need (37/2) moles of oxygen. The molar mass of diesel fuel is 170.34 g/mol, and the molar mass of oxygen is 32 g/mol. The excess air is given as 40%.
Using these values, we can calculate the mass flow rate of air and the mass flow rate of fuel. The mass flow rate of air can be determined as:
m_dot_air = m_dot_fuel * (37/2) * (32/170.34) * (1 + 0.4)
Substituting this value and the given parameters into the energy balance equation, we can solve for the mass flow rate of fuel (m_dot_fuel).
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The function in the table below shows the relationship between the total number of houses built in an area and the number of months that passed. A two column table with five rows. The first column, Months Passed, has the entries, 0, 3, 4, 8. The second column, Total Houses Built, has the entries 0, 33, 46, 108. Which best describes the data set? It is nonlinear because the “Total Houses Built” column does not increase at a constant additive rate. It is nonlinear because the “Months Passed” column does not increase at a constant additive rate. It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change. It is linear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” shows a constant rate of change
Answer:
I just did it this is the right answer.
It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.
Step-by-step explanation:
The correct statement is,
'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The first column, Months Passed, has the entries, 0, 3, 4, 8.
And, The second column, Total Houses Built, has the entries,
0, 33, 46, 108.
Hence, Rate of change are,
⇒ (33 - 0) / (3 - 0) = 11
⇒ (46 - 33) / (4 - 3) = 13
Thus, It does not show a constant rate of change.
Hence, The correct statement is,
'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''
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Can some one plz help me
Answer:
Step-by-step explanation:
3. Given
4. triangle xwv SAS
5. cpctc
On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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