A laptop has a listed price of 695.99 Before tax. If the sales tax rate is 8.5 find the total cost of the laptop with sales tax included round your answer to the nearest cent as necessary

Answer:

1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.

2. ax2 + bx + c

Step-by-step explanation: Hope this helps :)

Answer:

e = - \(\frac{1}{2}\) q + \(\frac{1}{3}\)

Step-by-step explanation:

- 12e = 6q - 4 ( divide through by - 12 )

e = \(\frac{6}{-12}\) q - \(\frac{4}{-12}\) , that is

e = - \(\frac{1}{2}\) q + \(\frac{1}{3}\)

Answer:

x = 9

Step-by-step explanation:

Since line EC is half of line AC, we know that EC + EC = AC, since two halves of something make it a whole.

So do the equation EC + EC = AC

2x + 11 + 2x + 11 = 8x - 14

Combine like terms.

4x + 22 = 8x - 14

Bring the -14 over to the other side of the equal (=) by adding -14 to 22 to get 8x alone.

4x + 36 = 8x

Bring the 4x over to the right side of the equal sign by subtracting 4x from 8x in order to get 36 alone and x value alone.

36 = 4x

Now divide both sides by 4x to get x entirely alone.

36/4 = 9

4x/4 = x

9 = x

Flip (if you want, I just prefer to).

x = 9

Done :)

n the case of errors-in-variables bias, the OLS estimator is consistent but no longer unbiased in small samples. This is the correct statement.

In statistics, the errors-in-variables bias is a form of statistical bias that occurs when an independent variable (IV) is measured with error. The presence of the errors-in-variables (EIV) bias means that the OLS estimator will be consistent but no longer unbiased. This means that the OLS estimator can still give reliable estimates, but the estimates are no longer accurate.

The errors-in-variables (EIV) bias can be corrected by using methods such as instrumental variables or two-stage least squares (2SLS) regression. In small samples, the EIV bias can have a more significant impact on the accuracy of the OLS estimator.

In such cases, other estimation methods such as maximum likelihood estimation or the generalized method of moments (GMM) may be used to improve the accuracy of the estimates

Therefore, option C: the OLS estimator is consistent but no longer unbiased in small samples, is the correct .

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Answer:

24 ^ 8

Step-by-step explanation:

sqrt(24) ^ 16th power

Rewriting the square root as  ^ 1/2

24 ^ 1/2 ^ 16

We know that a^b^c = a^ (b*c)

24 ^ (1/2*16)

24 ^ 8

Answer:

2²⁴ *3⁸ or  24⁸

Step-by-step explanation:

the square root of 24 to the 16th power  can be written as 24

(\(\sqrt{24}\) )¹⁶

√ means power of 1/2 so (\(\sqrt{24}\) )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or

24 = 4*6 and \(\sqrt{24} = 2\sqrt{6}\)

then (2\(\sqrt{6}\) )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸

Answer:

0.36

Step-by-step explanation:

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

None of these choices are correct

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

A differential equation in mathematics is one that has one or more function derivatives. The derivative of the function is denoted by the ratio dy/dx. Thus, we refer to an equation as such if it contains the derivatives of one or more dependent variables with regard to one or more independent variables.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×(2v + 4tv' + t²v'') - 4t× (2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore, general solution will be y(t) = c₁t² + c₂t³

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Answer:

cos A = 45

Step-by-step explanation:

90 - sin A = 45 = cos A

90 Minus whatever the cos value for the angle is = the sin and vice versa.

Answer:

4

Step-by-step explanation:

28  = 2×2×7

36  = 2×2×3×3

common factor of 28 and 36 = 2×2

                                                = 4

\(\huge\boxed{Hello!}\)

To find the G.C.F. (Greatest Common Factor) of two numbers, we should list their factors:

28: 1, 2, \(\bold{4}\), 7, 28

36: 1, 2, 3, \(\bold{4}\), 6, 9, 12, 18, 36

The G.C.F. of 28 and 36 is 4.

Answer:

A = 3, B = 10

Step-by-step explanation:

\(\sqrt{-90}\)

= \(\sqrt{9(-1)(10)}\)

= \(\sqrt{9}\) × \(\sqrt{-1}\) × \(\sqrt{10}\)

= 3i\(\sqrt{10}\)

in the form Ai\(\sqrt{B}\)

with A = 3 and B = 10

Based on the provided options, the appropriate decision and conclusion after conducting the test would be: c) Do not reject H0: There is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.

When we conduct a hypothesis test, we set up a null hypothesis (H0) and an alternative hypothesis (Ha) based on the research question. In this case, the null hypothesis could be that the proportion of teen girls who smoke to stay thin is not greater than 30% (p ≤ 0.30). The alternative hypothesis would be that the proportion is greater than 30% (p > 0.30). After conducting the test and analyzing the results, if we do not find sufficient evidence to reject the null hypothesis, it means that we don't have enough evidence to conclude that the proportion of teen girls who smoke to stay thin is greater than 30%.

If the test results do not provide enough evidence to reject the null hypothesis, we accept the null hypothesis, indicating that there is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin

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Answer:

a = 2.3

Step-by-step explanation:

\(2a = 4.6 \\ \frac{2a}{2} = \frac{4.6}{2} \\ a = 2.3\)

Answer:

First box is 4 2nd box is 6

Step-by-step explanation:

The next box that is empty will be 4 and the last empty box will be 6

Step-by-step explanation:

2*1=2

2*2= 8

2*3=6

Answer:

3(24)

Step-by-step explanation:

In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.

Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

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Step-by-step explanation:

since you understood 1a, I honestly do not understand what's the problem with 1b.

this works exactly the same way. only this time it is x+0 and y changes. that is all.

(x, y) -> (x+0, y-5)

A" = (-6. 2)

B" = (-4, -3)

C" = (-8, -3)

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

\(r=\sqrt{x^2+y^2}\)

\(r=\sqrt{9^2+(-12)^2}\)

\(r=\sqrt{81+144}\)

\(r=\sqrt{225}\)

\(r=15\)

Now,

\(\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}\)

\(\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}\)

\(\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}\)

\(\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}\)

\(\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}\)

\(\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}\)

Therefore, the values of six trigonometric functions of theta are \(\sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}\).

To estimate the absolute error in approximating tan(0.25) using the 2nd-order Taylor polynomial centered at 0, we need the remainder term expression.

In Taylor series approximation, the remainder term represents the difference between the actual value of a function and its approximation using a truncated Taylor polynomial. It helps estimate the absolute error of the approximation.

The remainder term for the 2nd-order Taylor polynomial centered at 0 is given by the formula: Rn(x) = f'''(c) * (x - a)^n / (n+1)!, where f'''(c) represents the third derivative of the function at some point c between 0 and 0.25.

To estimate the absolute error in approximating tan(0.25) using the 2nd-order Taylor polynomial, we need the value of the third derivative of the tangent function and the point c between 0 and 0.25 at which we evaluate it. Without this information, we cannot calculate the exact value of the remaining term or the absolute error.

To obtain an estimate of the absolute error, we would need to evaluate the remainder term at a specific value of c and substitute it into the expression. Without the given value of c or the third derivative of the tangent function, we cannot provide a numerical estimation of the absolute error in this case.

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Answer:

9 + 4 - 16 + 6 - 25

I think this is what u need

Answer:

let's say x is equivalent to 3. now all x values are 3 so we can now we can solve the equation 3*3+2*3 squared -4*3+3*3 squared - 5*3, that equals 27.

Step-by-step explanation:

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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The following Java code can be used to solve the given problem:

```public static int getDaysToReachID(long id) { double salary = 0.001; int days = 0; while (salary < id) { salary *= 2; days++; } return days; }```

Explanation:

The given problem can be solved by using a while loop which continues until the salary becomes at least as large as the given ID.

The number of days required to reach the given salary can be calculated by keeping track of the number of iterations of the loop (i.e. number of days).

The initial salary is given as 0.001 AED and it gets doubled every day.

Therefore, the salary on the n-th day can be calculated as:

0.001 * 2ⁿ

A while loop is used to calculate the number of days required to reach the given ID. In each iteration of the loop, the salary is doubled and the number of days is incremented.

The loop continues until the salary becomes at least as large as the given ID. At this point, the number of days is returned as the output.

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Answer:

B is the answer.

Step-by-step explanation:

Use power rule: (x^a)^b = x^ab.

\( {6}^{21} \)

Answer:

b. 6²¹

Step-by-step explanation:

(6⁷)³=(6³)⁷===> 6²¹

Answer:

1080

Step-by-step explanation:

(n-2) × 180

(8-2) × 180= 1080

Using average to predict the population in 1820, the population is 10 million people

From the question, we have the following parameters that can be used in our computation:

Population in 1810 = 7 million people

Population in 1830 = 13 million people

Using average, we have

Population in 1820 = 1/2 * (7 million people + 13 million people )

Evaluate

Population in 1820 = 10 million people

Hence, the population in 1820 is 10 million people

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Answer:

2 real solutions

Step-by-step explanation:

\(f(x)=(x+3)^2-8\\\\0=(x+3)^2-8\\\\8=(x+3)^2\\\\\pm\sqrt{8}=x+3\\\\x=-3\pm\sqrt{8}\)

Therefore, the function set at \(f(x)=0\) has two real solutions (x-intercepts).

You can also check the discriminant of the function by expanding it:

\((x+3)^2-8=x^2+6x+9-8=x^2+6x+1\\\\b^2-4ac=6^2-4(1)(1)=36-4=32 > 0\)

Since it's greater than 0, there's two real solutions

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

425.2

Step-by-step explanation:

v = 1/3\(\pi r^{2} h\)  If the diameter is 12,  then the radius is 6

v = \(\frac{3.14(6^{2})12 }{3}\)

v = \(\frac{3.14(36)(12)}{3}\)

v = 452.16

Helping in the name of Jesus.

Answer: Choices C and D

Explanation:

Positive values of 'a' will make the parabola open upward.

Think "positive" as in "happy smile" to help remember this. In contrast, if 'a' is negative, then it is angry or sad to make a frown.