Q3 Which answer shows the next correct step for solving the
quadratic equation by taking the square root of both sides?
g²-8g + 16 = 2
(g-4)² = 2
√(g-4)² = √2

Step-by-step explanation: The intersection of two figures can

be defined as the set of points that is contained in both figures.

In this figure, lines h and i intersect at C or we can

say that C is the intersection of lines h and i.

In this figure, C is the intersection of lines h and i

because C is the point contained by both h and i.

Answer:

To find the final balance of an account earning interest compounded continuously, you can use the formula:

A = Pe^(rt)

where A is the final account balance, P is the initial principal (or starting) amount, r is the interest rate, and t is the time (in years) for which the interest is being calculated.

Substituting in the given values:

A = 550 * e^(0.066 * 10)

Therefore, the final balance would be approximately $1064.14.

Answer:

C)  $1064.14

Step-by-step explanation:

\(\boxed{\begin{minipage}{8.5 cm}\underline{Continuous Compounding Formula}\\\\$ A=Pe^{rt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\\phantom{ww}$\bullet$ $P =$ principal amount \\\phantom{ww}$\bullet$ $e =$ Euler's number (constant) \\\phantom{ww}$\bullet$ $r =$ annual interest rate (in decimal form) \\\phantom{ww}$\bullet$ $t =$ time (in years) \\\end{minipage}}\)

Given:

Substitute the given values into the continuous compounding formula and solve for A:

\(\implies A=550e^{0.066 \times 10}\)

\(\implies A=550e^{0.66}\)

\(\implies A=550(1.93479233...)\)

\(\implies A=1064.13578...\)

Therefore, the balance of the account after 10 years would be $1064.14.

Answer:

Step-by-step explanation:

The initial quantity is the quantity at t = 0 time:

Or simply in this kind of equations consider the coefficient as the initial quantity.

Answer:

$16.66

Step-by-step explanation:

$125-$100 = $25

since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.

i hoped this helped :)

Answer:

17

Step-by-step explanation:

t^2 + m^2 = 64

(t+m)^2 = 98

(t+m)^2 = t^2 +2tm+ m^2

==>

t^2 +2tm+ m^2 = 98

t^2+m^2+2tm=98

64+ 2tm=98

2tm = 98 -64

2tm=34

tm= 34/2

tm = 17

Answer:

take out x+60 and = x+54 cross multiply for starters

The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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The domain and the range of the function F(x) = \(e^x\) will be domain is all real numbers and the range is y > 0. The correct option is C.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given function  \(e^x\) when we plot the graph of the function it is observed that all the graph of the function varies in the positive part of y. The ranges of the function lie at y > 0 and the domain will be all the real numbers.

Therefore the domain and the range of the function F(x) = \(e^x\) will be domain is all real numbers and the range is y > 0. The correct option is C.

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Answer:

x = -11/20 (x = -0.55)

Answer:

y = -3x + 7

Step-by-step explanation:

I see points (0, 7) and (1, 4).

slope = m = (4 - 7)/(1 - 0) = -3

y-intercept = 7

y = mx + b

y = -3x + 7

The final answer is (b), a z-score of 1.645 separates the top 5% from the remainder of the distribution in a normal distribution.

The z-score that separates the top 5% from the remainder of the distribution is found by looking up the area in the standard normal distribution table.

The normal distribution is a continuous probability distribution that is commonly used in statistical analysis. It is a symmetric bell-shaped curve that describes a large number of natural phenomena, such as human heights, test scores, and measurements of physical phenomena. The distribution is characterized by its mean and standard deviation.

The area in the tail of the distribution is 0.05, which corresponds to a z-score of approximately 1.645.

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Answer: message him

Step-by-step explanation:

Step-by-step explanation:

The answer is 4.58 .

hope it will help you

Answer:

3/4

Step-by-step explanation:

the numerator of slope (in this case 3) is always y because y rises. in this case, in order to get to the other plot you need to rise three times then run 4. "run" is how many it takes to get to the plot but in the x direction. for example in this case it took 3 rise and 4 run.

Answer:

50%

Step-by-step explanation:

Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.

Answer: 50%

Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.

1.716762 is the correct solution up to 6 decimal places by using Newton's method.

The Newton's method is a potent tool, and in general, the convergence is quadratic: as the procedure approaches the root, the discrepancy between the root and the approximation squares, almost doubling the number of accurate digits at each step. The approach does, however, have significant drawbacks. The phrase "Newton's method" refers to Isaac Newton's explanation of a particular application of the method in his books De analysi per aequationes numero terminorum infinitas, which he wrote in 1669 and had William Jones publish in 1711, and De metodis fluxionum et serierum infinitarum (written in 1671, translated and published as Method of Fluxions in 1736 by John Colson).

Given,

f(x)=eˣ+2x-9

f'(x)=eˣ+2

ˣₙ₊₁=ˣₙ-f(ˣₙ)/f'(ˣₙ)

Let, n=1

x₂=1.9074740

x₃=1.7299338

x₄=1.716825

x₅=1.7167621

x₆=1.716762

x₅≈x₆

Therefore, 1.716762 is the correct solution up to 6 decimal places.

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The system of equations has no solution  by Use Gaussian elimination and Gauss Jordan method.

To solve the system of linear equations using Gaussian elimination and Gauss-Jordan method, we'll perform row operations to transform the augmented matrix into row-echelon form and then further into reduced row-echelon form.

The given system of equations is:

x - 2y - 6z = 12

2x + 4y + 12z = -17

x - 4y - 12z = 22

We can represent this system of equations in augmented matrix form:

[1 -2 -6 | 12]

[2 4 12 | -17]

[1 -4 -12 | 22]

Using Gaussian elimination, we'll perform row operations to eliminate the coefficients below the pivot element in each column.

Start with the first row as the pivot row (pivot element = 1).

[1 -2 -6 | 12]

[2 4 12 | -17]

[1 -4 -12 | 22]

Subtract twice the first row from the second row.

[1 -2 -6 | 12]

[0 8 24 | -41]

[1 -4 -12 | 22]

Subtract the first row from the third row.

[1 -2 -6 | 12]

[0 8 24 | -41]

[0 -2 -6 | 10]

Divide the second row by 8 to make the pivot element 1.

[1 -2 -6 | 12]

[0 1 3 | -41/8]

[0 -2 -6 | 10]

Add twice the second row to the third row.

[1 -2 -6 | 12]

[0 1 3 | -41/8]

[0 0 0 | 7/4]

Now, we have the row-echelon form of the augmented matrix. To obtain the reduced row-echelon form, we'll perform back substitution.

Solve the third equation: 0z = 7/4. Since this equation is inconsistent, there is no solution to the system of equations. The system is inconsistent.

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The volume of the cone is 441π cubic meters.

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant pi.

Substituting the given values, we get:

V = (1/3)π(7²)(27)

Simplifying, we get:

V = (1/3)π(49)(27)

V = (1/3)π(1323)

V = 441π

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A 1% error in r will lead to a larger error in the volume.

A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.

The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).

Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.

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Answer:

-280

Step-by-step explanation:

step-by-step explanation: so ( x-2y)^7 expanded is: x^7-14 x^6y+84x^5y^2-280x^4y^3+560x^3 y^4-672x^2y^5+448xy^6-128y^7. The x^4y^3 term would then be -280 x^4y^3,meaning the coefficient (the number before the variables) here is 280

The expression for division that gives a result of 26 is E = 52/2.

We need to find an expression. The expression must represent the division operation. The division is an arithmetic operation. The result of the division must be equal to 26. Let the expression be represented by the variable "E". The variable should be in the form of a rational number.

E = y/x

26 = y/x

y = 26x

We have to find one set of values for the variables that satisfy the above equation. Let us assume that the value of x is 2. Then the value of y is calculated below.

y = 26*2

y = 52

So, the values of the numerator and the denominator are 52 and 2, respectively.

Hence, the expression is 52/2.

The complete question is given below.

Write an expression for a division that gives a result of 26.

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The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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Answer:

(1, -6)

Step-by-step explanation:

After reflecting over y axis: (1, 6)

After reflecting (1, 6) over x axis: (1, -6)

I think you made a typo in your question. I think you meant "x-axis" instead of "r-axis"

The probability distributions whose graphs can be approximated by bell-shaped curves are commonly known as normal distributions or Gaussian distributions.

These distributions are characterized by their symmetrical shape and the majority of their data falling within a certain range around the mean. The normal distribution is widely used in statistics and is a fundamental concept in many fields of study, including psychology, economics, and engineering. The normal distribution is also known for its many practical applications, such as predicting test scores, stock prices, and medical diagnoses. In summary, the bell-shaped curve is a useful tool in probability theory that can help us understand and make predictions about a wide range of phenomena. The probability distributions whose graphs can be approximated by bell-shaped curves are called Normal Distributions or Gaussian Distributions. They have a symmetrical shape and are characterized by their mean (µ) and standard deviation (σ), which determine the central location and the spread of the distribution, respectively.

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Answer:

The best option is the first one. It provides a higher present value.

Step-by-step explanation:

Giving the following information:

Option 1:

Receive $15,000,000 today.

Option 2:

Receive $1,000,000 for 30 years.

Discount rate= 7% compounded annually

To compare both options, we need to calculate the present value of Option 2. The option with the higher present value is the most convenient.

Option 2:

First, we need to determine future value:

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {1,000,000*[(1.07^30) - 1]} / 0.07

FV= $94,460,786.32

Now, the present value:

PV= FV/(1+i)^n

PV= 94,460,786.32 / (1.07^30)

PV= $12,409,041.18

The best option is the first one. It provides a higher present value.

Answer:

Factor analysis

Step-by-step explanation:

A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion.

The statistical technique that would allow a researcher to cluster is called Cluster Analysis. It is a statistical technique that enables researchers to cluster groups of objects that share certain similarities based on their attributes, observations, or characteristics.What is cluster analysis?Cluster analysis is a data-driven technique that helps in grouping similar objects based on the data provided. It is often used in many fields, including data mining, machine learning, and bioinformatics. Cluster analysis is used to find the natural groupings of objects, which have similar attributes or characteristics. For instance, it is used to group customers based on their behavior, cluster genetic markers in DNA, cluster galaxies in the universe, and much more. Cluster analysis helps in analyzing large datasets by grouping similar objects into smaller groups that are easier to understand.The Cluster analysis technique is a valuable tool in statistical analysis and it is used in different fields like market research, bioinformatics, genetics, etc. It is a method of statistical data analysis that helps researchers identify groups or clusters of data. It is a commonly used technique that is used to identify natural patterns within large datasets.

Answer:

Question 13: is Side-Side-Angel

Question 14:  laws sines.

Question 15: is 1 (which b.)

there my brother tried his best, have a great day TwT

False.  We cannot use the normal distribution to approximate the sampling distribution of the average (x) for a small sample (n<30) if our sample has clear outliers.

The sampling distribution of the average, also known as the sampling distribution of the mean, is the distribution of all possible sample means that could be obtained from a population. In order to use the normal distribution to approximate the sampling distribution of the average, certain assumptions need to be met. One of these assumptions is that the data should follow a normal distribution or at least be approximately normally distributed.

If the sample contains clear outliers, it indicates that the data deviates significantly from the assumptions of normality. Outliers can affect the shape and properties of the distribution, making it non-normal. In such cases, using the normal distribution to approximate the sampling distribution of the average would not be appropriate because the underlying assumptions are violated. Alternative approaches, such as non-parametric methods, may be more suitable for analyzing data with outliers.

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Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Hence, the margin of error for this 95% confidence interval of a population proportion is 5.4%.

The margin of error for a confidence interval is the distance between the sample statistic (in this case, the sample proportion) and the confidence interval limits. To find the margin of error, we can use the formula:

Margin of error = (upper limit - lower limit) / 2

In this case, the lower limit of the 95% confidence interval is 64.5% and the upper limit is 75.3%. So the margin of error is:

Margin of error = (75.3% - 64.5%) / 2

Margin of error = 10.8% / 2

Margin of error = 5.4%

Therefore, the margin of error for this 95% confidence interval of a population proportion is 5.4%.

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