(a+6)(a-?)=a^2+?a-12

HELP ASAP
(^2 means squared)

Not performing qualitative tests in duplicate can introduce certain risks and potential issues:

False positives: Without duplicate testing, there is a higher risk of obtaining false positive results. False positives occur when a test incorrectly indicates the presence of a particular characteristic or condition. Duplicate testing helps verify the accuracy and reliability of the results, reducing the chances of false positives.

False negatives: Similarly, not performing qualitative tests in duplicate increases the risk of false negatives. False negatives occur when a test fails to detect a characteristic or condition that is actually present. Duplicate testing provides an additional opportunity to identify any missed detections and reduces the likelihood of false negatives.

Variability and uncertainty: Qualitative tests can be subject to variability due to factors such as sample preparation, test conditions, or interpretation. Duplicate testing helps assess the consistency and reproducibility of the results, providing a measure of confidence and reducing uncertainty.

Quality control issues: Duplicate testing is an essential component of quality control protocols. It helps ensure the reliability and accuracy of the testing process and minimizes the potential for errors or inconsistencies. Not performing duplicate tests can compromise the overall quality control procedures, leading to compromised data and unreliable conclusions.

Validation and reproducibility: Duplicate testing is often required for validation purposes and to demonstrate the reproducibility of results. It helps establish the robustness and reliability of the testing method. Without duplicate testing, it becomes more challenging to validate and reproduce the results, which can undermine the credibility of the findings.

In summary, not performing qualitative tests in duplicate increases the risks of false positives, false negatives, variability, uncertainty, quality control issues, and challenges in validation and reproducibility. Duplicate testing plays a crucial role in ensuring the accuracy, reliability, and validity of qualitative test results.

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You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Answer:

A & E

Step-by-step explanation:

Answer:

68¢

Step-by-step explanation:

8.84÷13=0.68

Between $80,000 and $85,000, there is an outlier. Means are not immune to outliers, but medians are.

How do you define medians?

The middle number in a sorted series of numbers is referred to as the median in mathematics. Ordering the numerals reveals the center one. In descending sequence, the numbers are listed. The middle number, when the numbers are arranged, is referred to as the data set's median.

Why is median significant?

A useful way to determine where a dataset is in the middle is to use the median. You may gain a sense of a dataset's distribution by comparing both median and mean. The dataset is almost uniformly scattered from the mean if both mean and median are equal.

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Answer:

Step-by-step Explanation:

To prove that lim x → 0 x^4 cos(2/x)=0, we need to show that for any ε > 0, there exists a δ > 0 such that |x^4 cos(2/x)| < ε whenever 0 < |x| < δ.

First, we note that -1 <= cos(2/x) <= 1 for all x. Therefore, we have:

x^4 <= x^4 cos(2/x) <= x^4 for all x

Taking the limit as x approaches 0 of both sides, we get:

lim x â 0 x^4 <= lim x â 0 x^4 cos(2/x) <= lim x â 0 x^4

Using the fact that lim x â 0 x^4 = 0, we can conclude that:

0 <= lim x â 0 x^4 cos(2/x) <= 0

Thus, by the squeeze theorem, we have:

lim x â 0 x^4 cos(2/x) = 0

Therefore, we have shown that lim x â 0 x^4 cos(2/x) = 0.

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Answer:

3+ 1x = y

Step-by-step explanation:

a flat rebate means no matter how many days it will only be $3 so you add the 3 and you don’t know how many day you’ll rent the shoes so you put a variable next to the 1 and the 1 times however many days plus 3 will be your cost

Answer:

B. x ≥ 2

Explanation:

hey there,

< 54-10x ≤ 20+7x

This is kind of simplified as if it was an equation with "=". First, put all the "x"s to one side.

54-10x-7x ≤ 20

Put all the regular numbers to the other side.

-10x-7x ≤ 20-54

Continue simplifying:

-17x ≤ -34

When finishing up this to try to find "x", you are going to change the sign to the opposite (since here it is greater than or equal to, you're going to change it to less than or equal to). The sign is going to change because the numbers being dragged over are negative. This is just a rule you have to follow. So:

x ≥ 2 is your final answer. >

Hope this helped! Feel free to ask anything else.

(Also for future reference, you can add your question in the question box instead of into the comments.)

the population to double is closest to5 years10 years15 years25 years35 years  is approximately 70/5 = 14 years.

The number of years required for a population to double can be estimated using the rule of 70, which states that the doubling time is approximately equal to 70 divided by the annual growth rate as a percentage.

Therefore, if the population of a country grows at a rate of approximately 5 percent per year, the number of years required for the population to double is approximately \(70/5 = 14\) years.

Since none of the options provided matches this estimate exactly, the closest answer would be 14 years.

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By sampling distribution, 0.16 (p-bar), as a decimal, rounded to two decimal places.

How does sampling distribution work?

When selecting random samples from a particular population, statisticians create a probability distribution of that statistic, which is known as a sampling distribution. It reflects the frequency distribution of how widely spaced different outcomes will be for a particular population and is also referred to as a finite-sample distribution.

P1 = 0.3, N1 = 70

P2 = 0.1, N2 = 170

Pooled proportion = (p1*n1 + p2*n2)/(n1+n2) = 0.15833333333 = 0.16

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Answer:

The pressure exerted by gas number 3 is 159 mmHg

Step-by-step explanation:

To answer this question, the law to Use is Dalton’s law of partial pressure

Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.

Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3

Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg

P3 = Pt-P1-P2

Plugging the values above, we have ; 950-335-456 = 159 mmHg

(a) B is a basis of R^3 because its vectors are linearly independent and span R^3.

(b) The change-of-coordinate matrix from B to the standard basis is obtained by expressing the standard basis vectors as linear combinations of B and forming a matrix with the coefficients as columns.

(a) To show that B is a basis of R^3, we need to demonstrate two things: linear independence and spanning.

To show linear independence, we set up the equation a[2 0 1] + b[-1 1 0] + c[1 3 -2] = [0 0 0] and solve for a, b, and c. If the only solution is a = b = c = 0, then the vectors are linearly independent.

To show spanning, we need to show that any vector in R^3 can be expressed as a linear combination of the vectors in B.

(b) To find the change-of-coordinate matrix from B to the standard basis, we express the standard basis vectors [1 0 0], [0 1 0], and [0 0 1] as linear combinations of the vectors in B. The columns of the change-of-coordinate matrix will be the coefficients of the linear combinations.

(c) To find the B-coordinates of the vector v, we set up the equation [2 0 1]x + [-1 1 0]y + [1 3 -2]z = [6 4 -3] and solve for x, y, and z using the B basis vectors.

Note: Without the specific values of x, y, and z obtained in part (c), a detailed explanation cannot be provided.

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Answer:

Step-by-step explanation:

Let's call the first number x and the second number y.

From the first statement, we know that:

y = 5 + x^2

From the second statement, we know that:

3x * (x - 3) = y

Substitute the expression for y from the first statement into the second equation:

3x * (x - 3) = 5 + x^2

Expand the left side:

3x^2 - 9x = 5 + x^2

Subtract x^2 from both sides:

2x^2 - 9x - 5 = 0

We can solve for x using the quadratic formula:

x = (9 ± √(9^2 - 4 * 2 * (-5))) / (2 * 2)

x = (9 ± √(97)) / 4

x ≈ 2.34 or x ≈ -1.07

Since we're dealing with real-world numbers, we can ignore the negative solution for x.

Now, we can use the first statement to find y:

y = 5 + x^2

y ≈ 11.16

So the two numbers are approximately 2.34 and 11.16.

Answer:

i have no idea what is the question would you please provide me exact questions

Answer:

what?

Step-by-step explanation:

doesnt understand

Answer:

\(\displaystyle{P(x)=x^3-x^2}\)

Step-by-step explanation:

Given the zeros of 0, 0, 1. We can write the polynomial in form of x-intersects:

\(\displaystyle{P(x) = (x-x_1)(x-x_2)(x-x_3)}\)

Hence:

\(\displaystyle{P(x)=(x-0)(x-0)(x-1)}\)

Which can be simplified to:

\(\displaystyle{P(x)=x\cdot x \cdot (x-1)}\\\\\displaystyle{P(x)=x^2(x-1)}\)

Convert to the standard form by distributing x²:

\(\displaystyle{P(x)=x^2\cdot x - x^2 \cdot 1}\\\\\displaystyle{P(x)=x^3-x^2}\)

Answer:

Which plave value is it? if it was 10's, it would be 11.

\(\huge\text{\bf Hey there!}\)

\(\large\text{GUIDE}\downarrow\\\large\text{Tenths place has \bf 1 decimal place}\\\large\text{Hundredths has \bf 2 decimal places (also known as cents)}\\\large\text{Thousandths has \bf 3 decimal places}\\\large\text{Ten thousandths has \bf 4 decimal places}\\\large\text{Hundred thousanths has \bf 5 decimal places}\\\large\text{Millionths has \bf 6 decimal places}\\\large\text{Ten millionths has \bf 7 decimal places}\)

\(\large\text{Hundred millionths has \bf 8 decimal places}\\\large\text{Billionths has \bf 9 decimal places}\)

\(\large\textsf{Tenths}\rightarrow\large\textsf{ 10.80 (also known as \bf 10.8)}\\\\\large\textsf{Hundredths}\rightarrow\large\textsf{10.75}\\\\\large\textsf{Thousandths}\rightarrow\large\textsf{10.750}\\\\\large\textsf{Ten thousandths}\rightarrow\large\textsf{10.7500}\\\\\large\textsf{Hundred thousandths}\rightarrow\large\textsf{10.7500}\\\\\large\textsf{Millionths}\rightarrow\large\textsf{10.750000}\\\\\large\textsf{Ten millionths}\rightarrow\large\textsf{10.7500000}\)

\(\large\textsf{Hundred millionths}\rightarrow\large\textsf{10.75000000}\\\\\large\textsf{Billionths}\rightarrow\large\textsf{10.750000000}\)

\(\large\textsf{YOUR NUMBERS BROKEN DOWN TO SIMPLIER TERMS}\\\large\text{1 is in the \bf TENS place}\\\large\text{0 is in the \bf ONES place}\\\large\text{.}\\\large\text{7 is in the \bf TENTHS place}\\\large\text{5 is in the \bf HUNDREDTHS place}\)

A runner running a 10k race will complete the race in 67 minutes if he runs with a speed such that he completes 30% of the race in 20 minutes. Thus, option A is the right answer

The unitary method is used to solve such problems. It is a method for solving a problem by first calculating the value of a single unit, and then finding the appropriate value by multiplying the single unit value.

Given,

Time taken for 30% of the race to be completed = 20 minutes

Therefore, according to the unitary method, we divide it to find time for a single unit or in this case 1% of the race

Time taken for 1% of the race to be completed = \(\frac{20}{30}\) minutes

Furthermore, to find the value for 100 we multiply a single unit by 100

Time taken for 100% of the race to be completed = \(\frac{20}{30}\) * 100 minutes

= 0.67 * 100

= 67 minutes

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Given:

\(g(x)=-(x-2)^4\)

\(f(x)=x^4\)

To find:

How does the graph of g(x) compare to the parent function of f(x)?

Solution:

The translation is defined as

\(g(x)=kf(x+a)+b\)                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then graph of f(x) reflected over x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

\(f(x)=x^4\)

\(g(x)=-(x-2)^4\)

So,

\(g(x)=-f(x-2)\)    ...(2)

From (i) and (ii), we get

\(k=-1<0\), it means g(x) reflected over the x-axis.

\(a=-2<0\), it means g(x) shifted 2 units to the right .

Therefore, the correct option is A.

Answer:

A. g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:

Answer:

Turtle = 11 m / min      

Snail = 1 m / min

Total approach speed = 12 m/min

360 m / (12 m/min) = 30 min

Separation is 30  min       at assumed speed of 1 m/min

But we know the separation is 40 min

So turtle moves at 3/4 * 11 m / min = 33 m/ 4 min

Snail moves at 3/4 * 1 m /min = 3/4 m / mi

Total approach speed = (33 + 3) / 4 = 9 m / min

So in 40 min

9 m / min * 40 min = 360 m

(Leaving out those units,  they approach at 12 * unit of speed)

So the unit of speed has to be 360 m / 40 min = 9 m / min

The Jacobian matrix is a matrix containing all the first-order partial derivatives of a vector function. The Jacobian matrix is used to solve systems of equations in which each equation is a partial derivative of each variable in the system with respect to the other variables.

In this case, we are to find the Jacobian of the given transformation. X=5v+5w2,Y=8w+8u2,Z=2u+2v2 ∂(U,V,W)∂(X,Y,Z)=?

Answer: To find the Jacobian of the given transformation,

we will first calculate the partial derivatives of U, V, and W with respect to X, Y, and Z respectively.

U=X/5 - Z/2V=X/10 + Y/8W=Y/16 + Z/2

Now we can find the Jacobian matrix as follows:

∂(U,V,W)∂(X,Y,Z)= ⎡⎣⎢∂U/∂X∂U/∂Y∂U/∂Z∂V/∂X∂V/∂Y∂V/∂Z∂W/∂X∂W/∂Y∂W/∂Z⎤⎦⎥=⎡⎣⎢1/5 0 -1/2 1/10 1/8 0 0 1/16 1/2⎤⎦⎥

Therefore, the Jacobian of the given transformation is:∂(U,V,W)∂(X,Y,Z)= ⎡⎣⎢1/5 0 -1/2 1/10 1/8 0 0 1/16 1/2⎤⎦⎥.

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Answer:

10. I couldn't get the answer

11. 244140635

17. 216g (little number 3 infront of g)

he get gain of rupees 1500

gain percent = Profit% = [Profit/CP] × 100

1500/5000×100 = 30%

Answer: anser is the last one y-2=1/2(x-(7))

Step-by-step explanation:

Answer:

7 stamps

Step-by-step explanation:

4 invitations x three stamps = 12 stamps needed

12 stamps-5 stamps = 7 stamps

Answer: 7

Step-by-step explanation:4x3=12,12-5=7

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept

1) Determine the slope (m)

To find the slope, take two points from the table, \((x_1,y_1)\) and \((x_2,y_2)\) and plug them into the following equation to solve for m:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Plug m into \(y=mx+b\) .

2) Determine the y-intercept (b)

Take any point given in the table and plug them into \(y=mx+b\) (along with the slope that you solved for earlier) as \((x,y)\). Solve for b. Plug b back into \(y=mx+b\) along with the slope.

I hope this helps!