Option (b) $11004.70 is correct answer. The amount of the Gentrys' annual transportation and taxes budgets combined is approx $11004.70 .
Given,
Total yearly income of the family = $29,742.42
% Expenses for Transportation = 9%
% Expenses for Taxes = 28%
We know that ,
Percentage is from total income of the family,
Expenses for transportation in $ = 9% of $29742.42
= 0.09 * 29742.42
= $2676.8178
Expenses for taxes in $ = 28% of $29742.42
= 0.28 * 29742.42
= $8327.8776
Total expense Transportation + Taxes = $2676.8178 + $8327.8776
= $11004.694
≈ $11004.70
Hence, amount of the Gentrys' annual transportation and taxes budgets combined is approximately $11004.70 .
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The complete question is :
What is the dollar amount of the Gentrys' annual transportation and taxes budgets combined?
(a)$2,676. 82
(b) $11,004. 70
(c) $8,327. 88
(d) $18,737.
Gentry Family
Three Children Yearly Budget; Yearly Income - $29,742.42
Item Percentage
Tithe 10%
Taxes 28%
Food 20%
Housing 30%
Clothing 6%
Transportation 9%
Doctor, Medicine, etc. 8%
factor the expression 12x + 18 + 26
Part F
The club will base its decision about whether to increase the budget for the indoor rock climbing facility on the analysis of its usage. The decision to increase the budget will depend on whether members are using the indoor facility at least two times a week. Use the best measure of center for both of the original data sets to determine whether the club should increase the budget. Assume there are four weeks in a month. If you think the data is inconclusive, explain why.
To determine if the club should increase the budget for the indoor rock climbing facility, the usage data of members must be analyzed. The best measure of center to use in this scenario would be the mean, as it gives a clear average of the usage data.
How to explain the informationIf the average usage of the members is at least two times per week (8 times per month), the club can consider increasing the budget.
However, if the data is inconclusive, it could mean that the sample size is too small or there is too much variability in the data, making it difficult to accurately determine the average usage. In this case, additional data or further analysis may be needed to make a clear decision.
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Convert the following signed SWORD to a decimal value.
1101 0010 0011 0111
-8,215 in decimal form. 1101 0010 0011 0111 is a signed binary representation of -8,215 in decimal form.
The binary number 1101 0010 0011 0111 is a signed binary representation of -8,215 in decimal form. To convert this number to decimal, the first bit is the sign bit. This bit is 1, indicating that the number is negative. The remaining 14 bits represent the magnitude of the number. To convert to decimal, each bit is multiplied by two to the corresponding power of two, beginning with the least significant bit. The least significant bit is 2^0 or 1. The next bit is 2^1 or 2 and so on. The value of the number can then be determined by adding the values of each bit together. 1101 0010 0011 0111 = -1 + 2 + 8 + 16 + 32 + 64 + 512 + 1024 + 4096 = -8,215.
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Assume that the int variables a, b, c, and low have been properly declared and initialized. The code segment below is intended to print the sum of the greatest two of the three values but does not work in some cases.if (a > b && b > c){low = c;}if (a > b && c > b){low = b;}else{low = a;}System.out.println(a + b + c - low);For which of the following values of a, b, and c does the code segment NOT print the correct value?Aa = 1, b = 1, c = 2Ba = 1, b = 2, c = 1Ca = 1, b = 2, c = 3Da = 2, b = 2, c = 2Ea = 3, b = 2, c = 1
The correct solution are,
(C) a=1, b=2, c=3.
The code segment does not work in the case where a > b, c > b, but a < c.
In this case, the value of 'low' is set to 'b' instead of 'a', which causes the code segment to print the incorrect value.
The values of a, b, and c that fall into this case are a=1, b=2, and c=3.
Let's trace through the code segment using a=1, b=2, and c=3:
Since a=1 and b=2, the first conditional statement (a > b && b > c) evaluates to false, so we skip the first 'if' block.
Since a=1 and c=3, the second conditional statement (a > b && c > b) evaluates to true, so we set 'low' to 'b'.
However, since we have an 'else' block following the second conditional statement, it will always be executed. So, 'low' is set to 'a' instead.
Finally, the code segment prints the sum of a + b + c - low, which is 1+2+3-1 = 5, which is incorrect.
The correct answer should be 1 + 3 = 4.
Therefore, the answer is (C) a=1, b=2, c=3.
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What is the main difference between parameters and arguments?
Answer: An argument is a value passed to a function. A parameter variable is a variable local to the function which receives the argument.
Step-by-step explanation:
The term "argument" refers to the values that are specified inside a function when the function is invoked. The variables that are defined when the function is declared, however, are referred to as parameters.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
The term "argument" refers to the values that are specified inside a function when the function is invoked. The variables that are defined when the function is declared, however, are referred to as parameters.
argument:
These are employed in function call statements in order to transfer value from the calling function to the receiving function.
Also called as Actual Parameters, they are.
Each argument is always assigned to the parameter specified in the function specification during the call.
Parameter:
These are utilised in the called function's function header to obtain the value from the parameters.
When a function is called, arguments are passed as values to local variables known as parameters.
Formal Parameters is another name for them.
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Put the function P= 35(1.3)^t in the form P0ekt When written in this form, you have:
K=
P0=
Writing the function P = 35(1.3)^t in the form P(0)e^{kt}, the value of k = log(1.3) and P(0) = 35.
The function is P = 35(1.3)^t
At t = 0, P = 35, so P(0) = 35
P = 35e^{kt} .................Equation 1
P = 35(1.3)^t .................Equation 2
Now dividing the equation, we get
P/P = 35e^{kt}/35(1.3)^t
1 = e^{kt}/(1.3)^t
Multiply by (1.3)^t on both side, we get
1.3^t = e^{kt}
Now taking log of both side, we get
log [1.3^t] = log[e^{kt}]
Using the formula log[m^n] = n logm
t log(1.3)= kt loge
t log(1.3)= kt
Divide by t on both side, we get
k = log(1.3)
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find the two values that x can have if 3x² + 14 = 89
Answer:
x = 5, -5
Step-by-step explanation:
3x² + 14 = 89
3[tex]x^{2}[/tex] = 75
[tex]x^{2}[/tex] = 25
x = 5 or -5
determine whether the set s spans r3. if the set does not span r3, then give a geometric description of the subspace that it does span. s = {(6, 7, 1), (−3, 4, 7), (1, −3, 4)}
The set S = {(6, 7, 1), (−3, 4, 7), (1, −3, 4)} spans R³
For (x, y, z) ∈ R³, we can find scalars a, b, c for which the equation
(x, y, z) = a(6, 7, 1) + b (−3, 4, 7) + c (1, −3, 4) is true.
We can write above equation (x, y, z) = a(6, 7, 1) + b (−3, 4, 7) + c (1, −3, 4) as system of equations,
6a - 3b + c = x
7a + 4b - 3c = y
a + 7b + 4c = z
Above system of equations in matrix form as,
[tex]\begin{bmatrix}6 & -3 & 1 \\7 & 4 & -3 \\1 & 7 & 4\end{bmatrix}\begin{bmatrix}a\\b \\c\end{bmatrix}=\begin{bmatrix}x \\y \\z\end{bmatrix}[/tex]
The determinant of coefficient matrix is,
[tex]\left|\begin{matrix}6 & -3 & 1 \\7 & 4 & -3 \\1 & 7 & 4\end{matrix}\right|=360[/tex]
Since the determinant of the coefficient matrix is not zero (it equals 360), the coefficient matrix is invertible.
This means, the system of equations must have solution.
Therefore, S = {(6, 7, 1), (−3, 4, 7), (1, −3, 4)} spans R³
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x^2-12X+36 using Special Cases
The factors of quadratic function x²-12x + 36 are (x -6) and (x - 6).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
A quadratic function:
x²-12x + 36.
To factorize the quadratic function:
x²-12x + 36,
= x²-6x -6x + 36
= x(x - 6) -6(x - 6)
= (x -6) (x - 6)
Therefore, the factors are (x -6) and (x - 6).
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WEATHER A same-day forecast of the temperature tends to be within 2.25°F of the actual temperature. The
forecast for a particular day is 16°F.
Let x be the actual temperature. Find the range of possible temperatures for the day when the forecast is 16°F.
If WEATHER A same-day forecast of the temperature tends to be within 2.25°F of the actual temperature. The range of possible temperatures for the day when the forecast is 16°F is: 13.75°F to 18.25°F.
How to find range of possible temperatures?Let x be the actual temperature.
Find the range of possible temperatures for the day when the forecast is 16°F.
The range of possible temperatures for the day is:
Range = 16°F - 2.25°F
Range = 13.75°F
Range = 16°F + 2.25°F
Range = 18.25°F
The range is from 13.75°F to 18.25°F.
Therefore the actual temperature can be anywhere from 13.75°F to 18.25°F.
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Find the rate of change for the situation: Ron completed 3 math assignments in one hour and Duke completed 6 assignments in two hours
The rate of change is 3.0, or three assignments are completed every hour when timed in hours.
How is the rate of change per hour determined?The formula R = D/T, or rate of change equals the distance travelled divided by the time required to do so, can be used to approach rate of change problems in general.Divide the y-value change by the x-value change to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.The pace of change of the condition is determined by the slope, which is calculated using the slope formula.m = (6 - 3) miles / (2 - 1) hour = 3 miles / 1h
The rate of change is 3.0, or three assignments are completed every hour when timed in hours.
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Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in
the table.
Male
Female
Total
Projector Whiteboard Total
22 10 32
28 15 43
50 25 75
What is the approximate probability that a teacher prefers projectors and is female?
A 0. 121
B. 0. 373
OC. 0. 560
D. 0. 651
E 0. 867
Probability that a teacher prefer projector & is female candidate is =
Total Female prefer whiteboard/Total people = 28/75 = 0.373
Given that the information below:
Male people prefer projector - 22
Female people prefer projector - 28
Total people prefer projector - 50
Male people prefer Whiteboard - 10
Female people prefer whiteboard - 15
Total people prefer whiteboard - 25
Total number of Male people - 32
Tota lnumber of Female people - 43
Total number of people - 75
Here the solution given below :
Probability that a teacher prefer projector & is female candidate is =
Total Female prefer whiteboard/Total people = 28/75 = 0.373
The correct option of this question is B) 0.373. Explation is given above.
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Select the statement that accurately describes unimodal distribution.
A distribution in which numerous values are more frequent than other values. A distribution in which the values are distributed uniformly.
A distribution in which two distinct values are more frequent than the other values. A distribution in which one value is more frequent than other values.
The statement that accurately describes unimodal distribution is
" A distribution in which one value is more frequent than other values"
What is unimodal distribution ?
One distinct peak or most frequent value characterises a distribution as unimodal. The values start out climbing, reaching a single high, and then starting to fall. The "mode" in "unimodal" refers to the local maximum on a chart, not the most frequent value in a data set (although they are closely related).
In a graph, one peak will correspond to one mode (one common number), therefore conceptually they are the same thing. There is no list of numbers to go to when attempting to determine if a graph represents a unimodal distribution or not.
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a square has a perimeter of ( 20x + 32) inches, whats the length of one side
Answer:
5x + 8
Step-by-step explanation:
(20x + 32) / 4
5x + 8
Need help before Friday
The discounted prices are given as follows:
5) Soccer ball: $7.46.
6) Leather jacket: $202.31.
7) Board game: $15.83.
8) Baseball cap: $11.43.
9) Wooden key: $15.12.
10) Phone charger: $13.30.
How to obtain the discounted prices?The discounted prices are obtained applying the proportions in the context of this problem, multiplying the original price by the decimal equivalent of the discounted price.
Hence the discounted prices are obtained as follows:
5) Soccer ball: 10.65 x (1 - 0.3) = $7.46.
6) Leather jacket: 216.95 x (1 - 0.0675) = $202.31.
7) Board game: 17.69 x (1 - 0.105) = $15.83.
8) Baseball cap: 13.45 x (1 - 0.15) = $11.43.
9) Wooden key: 16.75 x (1 - 0.0975) = $15.12.
10) Phone charger: 15.65 x (1 - 0.15) = $13.30.
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below is the graph of y=1/x^2. Transform to make it the graph of y=1/(x-2)^2 +3
Answer:
The transformation to make the graph of y=1/x^2 into y=1/(x-2)^2 +3 involves shifting the graph horizontally by 2 units to the right, and vertically by 3 units up.
The transformation can be achieved by applying the following changes to the original equation:
Substitute x with (x-2) in the denominator of the fraction: 1/(x-2)^2
Add 3 to the fraction: 1/(x-2)^2 +3
This will give us the new equation y=1/(x-2)^2 +3, and the graph of this equation will be a parabola shifted 2 units to the right and 3 units up from the original graph of y=1/x^2.
A runner is training for a half marathon. On Wednesday, she ran 6 miles in 50 minutes. On Thursday, she ran 4 miles in 32 minutes. Assume she ran at a constant rate each day. On which day did she run faster? By how much faster did she run?
She ran faster on Thursday running at 7.5 mph which is 0.3 mph faster than 7.2 mph speed on Wednesday
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Speed is the ratio of total distance travelled to total time taken. It is given by the equation:
Speed = distance / time
1 hour = 60 minutes
She ran 6 miles in 50 minutes.
50 minutes = 50 min * 1 hr per 60 min = 5/6 hr
Speed on Wednesday = distance / time = 6 miles / (5/6)hr = 7.2 mph
She ran 4 miles in 32 minutes.
32 minutes = 32 min * 1 hr per 60 min = 8/15 hr
Speed on Thursday = distance / time = 4 miles / (8/15)hr = 7.5 mph
Difference in speed = 7.5 mph - 7.2 mph = 0.3 mph
She ran faster on Thursday
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the value of \frac{\sqrt{12}}{\sqrt{10}}\cdot \frac{\sqrt{5}}{\sqrt{6}} is closest to the whole number .
The value of [tex]\frac{\sqrt{12}}{\sqrt{10}}\cdot \frac{\sqrt{5}}{\sqrt{6}}[/tex] is closest to the whole number 1.
What is multiplication?
Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
An expression,
[tex]\frac{\sqrt{12}}{\sqrt{10}}\cdot \frac{\sqrt{5}}{\sqrt{6}}[/tex].
Simplifying,
{(√2 × √6) / (√2 × √5)} × √5/ √6
= 1.
Therefore, the value is 1.
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Unit 6 Final Test
Would appreciate some help as soon as its available (Has 3 parts) (ASAP)
1. The population of a town was 88 in 2016. The population quadruples every year.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2016.
(b) Estimate the population of the town in 2023. Show your work.
Answer:
2. Convert the following into a single log statement from the many log statements to 1.
7 Log x + 2log y – log 23 – 3 log z
NOTE: You must show this in at least two steps.
1st line should be to convert the 2 the 3 and the 7 only.
2nd line can be the final answer.
Answer:
3. A savings account is started with an initial deposit of $500. The account earns 7% interest compounded annually.
(a) Write an equation to represent the amount of money in the account as a function of time in years.
(b) Find the amount of time it takes for the account balance to reach 1 million. Show your work.
Note: 1 million is a 1 with 6 zeros. Note2: you must use log functions to solve.
Answer:
The population of the city in 2023 is 1.6 * 10^6.
What is the exponential function?The exponential function is a mathematical function that describes the growth of a quantity as a power of another quantity.
In mathematics, the exponential function is used to model a wide range of phenomena including exponential decay, compounding interest, and population growth.
Using the exponential growth model;
P = Poe^rt
P = population at time t
Po = Initial population
r = Population growth rate
t = time
4Po = Poe^rt
If t = 1
4Po/Po = e^r
4 = e^r
r = ln4
r = 1.4
The population in 2023 is;
P = 88e^1.4 * 7
P = 1.6 * 10^6
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someone please help me find the inverse function of g(x)=(x+10)^2
The inverse function of the function g(x) will be y = √(x) - 10.
What is the inverse function?Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by swapping x with y and y with x.
The function is given below.
g(x) = (x + 10)²
Replace x with y and g(x) with x, then we have
x = (y + 10)²
(y + 10)² = x
y + 10 = √x
y = √(x) - 10
The inverse function of the function g(x) will be y = √(x) - 10.
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on monday, jessica told two friends a secret. on tuesday, each of those friends told the secret to two other friends. each time a student heard the secret, he or she told the secret to two other friends the following day. on what day of the week will $1023$ students know the secret?
It will take 10 days for 1023 students to know the secret.
We can start by using the formula for exponential growth: n = 2^k
where n is the number of students who know the secret and k is the number of days.
On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.
We want to find k when n = 1023, so we can solve for k:
1023 = 2^k
log2 1023 = k
k = 10
So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.
Therefore, It will take 10 days for 1023 students to know the secret.
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It will take 10 days for 1023 students to know the secret.
We can start by using the formula for exponential growth: n = 2^k
where n is the number of students who know the secret and k is the number of days.
On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.
We want to find k when n = 1023, so we can solve for k:
1023 = 2^k
log2 (1023) = k
k = 10
So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.
Therefore, It will take 10 days for 1023 students to know the secret.
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A manufacturing process generates cans of frozen concentrated orange juice.
The collection of all cans the process has or could have generated is defined as
the ____.
(A) representative sample (B) population
(C) researcher’s sample (D)conceptual sample
As per the concept of hypothesis the collection of all cans the process has or could have generated is defined as the population
In statistics, a hypothesis is an assumption made about a population of data, usually with the goal of testing it.
The term "population" refers to the collection of all possible items of data or objects, while a "sample" is a smaller subset of the population that is used to draw conclusions about the population.
In the case of the manufacturing process for cans of frozen concentrated orange juice, the "population" would be the collection of all cans that the process has or could have generated.
This is because the goal is to make conclusions about the entire population, rather than just a portion of it.
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The ratio of the measures of the angles in a triangle is 8:3:4. Find the measure of the largest angle.
A- 12
B- 36
C- 96
D- 192
Answer: C- 96
Step-by-step explanation:
Use the figure and m∠IJL = 0. 5 m∠JIK. In the figure, IJK is a triangle. Side IJ and KJ are congruent. Line JL is bisector of base IK. The length of IL is denoted by 3x and the length of LK is denoted by 2x + 5. The triangle JLK is right angle triangle
So the length of JL is equal to the square root of the expression in the parentheses.
Given,
Based on the information given,
The triangle JLK is a right triangle with JL being the hypotenuse.
Since the angle between IJ and JL is half the angle between JI and JK,
we know that JL is also the perpendicular bisector of IK.
By using the Pythagorean theorem, we can find the length of JL:
[tex](JL)^2 = (2x + 5)^2 + (3x)^2[/tex]
Expanding and simplifying the right side:
[tex]JL^2 = 4x^2 + 20x + 25 + 9x^2[/tex]
[tex]JL^2 = 13x^2 + 20x + 25[/tex]
Taking the square root of both sides:
[tex]JL = \sqrt{(13x^2 + 20x + 25)}[/tex]
So the length of JL is equal to the square root of the expression in the parentheses.
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a box with a square base and no top is to be made from a square piece of cardboard by cutting 3 in. squares from each corner and folding up the sides. the box is to hold 4332 in3. how big a piece of cardboard is needed?
The piece of cardboard needed will be 44 by 44 inches.
The volume of a square box can be defined as the space occupied by the square box or the cube, It is equal to the cube of the length of the side of the square box.
The formula for the volume is V = s³
The volume will be L*W*H
We are cutting 3 inches from each corner, so the length and width will each be x-6.
The height will be 4.
4332 = 4* (x - 6)* (x - 6)
1444= (x - 6)²
38 = x-6
x=44 inches.
The piece of cardboard needed will be 44 by 44 inches.
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An angle measures 8.4° more than the measure of its supplementary angle. What is the measure of each angle?
The measure of each angle are 94.2° and 85.8°.
How to detemine the measure of each angleLet's call the measure of the first angle x.
Since the angle is supplementary to another angle, their measures add up to 180°.
So, the measure of the second angle is 180° - x.
Also, the first angle measures 8.4° more than the second angle, so:
x = (180° - x) + 8.4°
Solving for x:
2x = 188.4°
x = 94.2°
So the first angle measures 94.2° and the second angle measures 180° - 94.2° = 85.8°.
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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
By completing squares, we will see that the solutions of the given quadratic equation are:
x = -3 ± √(21/2)
How to solve the quadratic equation?
Here we know that Inga is solving the quadratic equation below:
2x² + 12x - 3 = 0
The steps that she can do is try to complete squares, first we can take the 2 as a common factor to get:
2(x² + 6x) - 3 = 0
Now we can add 18 in both sides, then we will get:
2(x² + 6x) - 3 + 18 = 18
We can put that 18 inside the first term:
2(x² + 6x + 9) - 3 = 18
And now we can complete squares, because:
x² + 6x + 9 = x² + 2*3*x + 3² = (x + 3)²
Replacing that we will get:
2(x + 3)² - 3 = 18
2(x + 3)²= 18 + 3 = 21
2(x + 3)² = 21
(x + 3)² = 21/2
x = -3 ± √(21/2)
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What is 1/3 as a fraction?
Answer:
0.333333...
Step-by-step explanation:
look this almost imposble but there is few ways that can give you an examples
divide 1 by 3 to divide fisrt put a 0 than dot becuze you can't devid it normaly naw give the 1 a 0 so it is ten so dived so 0.3 naw do it again so it endless but not infinty ok so thanks it is 0.3333333. sometimes pick ansear like this 0.3... or 0.3 white a line on top iv it
The fraction 1/3 is comparable to one third. As a result, it is a third of a sum.
What is fraction?In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in daily speech. Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other. An equal division of a whole number into smaller parts is called a fraction.To learn more about fraction, refer to:
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What is the approximate density of a nucleus?
On average, an atom's nucleus has a density of 2.31017 kg/m³.
Why is density of nucleus so high?According to nuclear density, the ratio of mass to volume inside an atom's nucleus determines its density. The nuclear density is highly high because the atomic nucleus makes up the majority of an atom's mass despite being relatively small in relation to the rest of the atom.
On average, an atom's nucleus has a density of 2.31017 kg/m³. Nuclear density is what causes this. It is the same for all nuclei since it is independent of the mass or size of the nucleus.
The nucleus is particularly dense because to its high mass and small size. A penny's worth of material would weigh more than 30 million tons if it had the same density as an atom's nucleus.
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Find the distance between (4, 9) and (7, 5)
Answer:The distance between the two points (4, 9) and (7, 5) can be calculated using the distance formula:
√((7 - 4)^2 + (5 - 9)^2) = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5.
Step-by-step explanation: