Divide and Simplify.
5x^2 - 6x + 8 ÷ 5x

Answer:

No Solution.

Step-by-step explanation:

For starters, here are our two equations:

\((x^2-x-6)>0\)

\(10-2x<5\)

The first option is to solve for x in our second equation. First, we add 2x to both sides to get \(10<5+2x\). Then, we subtract 5 from both sides to get \(2x<5\). Finally, we divide both sides by 2 to get \(x<2.5\). We can plug in 2.5 into our second equation to test if it works. If it does not work, then anything less than 2.5 won't work, and the solution would be impossible.

Now we can plug in our values into our first equation. We now have the equation \(2.5^2-2.5-6>0\). We can simplify to get \(-2.25>0\). This test failed, so there are no solutions. A solution would be impossible.

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Using logarithmic differentiation, the derivative of y with respect to x is given by y' is (x+9)(x+3)(x+2) + (x+9)(x+3)(x+6) + (x+9)(x+2)(x+6) + (x+3)(x+2)(x+6)

We have y=(x+9)(x+3)(x+2)(x+6).

Taking the natural logarithm of both sides, we get

ln(y) = ln[(x+9)(x+3)(x+2)(x+6)]

Using the properties of logarithms, we can simplify this to:

ln(y) = ln(x+9) + ln(x+3) + ln(x+2) + ln(x+6)

Now, we can implicitly differentiate both sides with respect to x

1/y * y' = 1/(x+9) + 1/(x+3) + 1/(x+2) + 1/(x+6)

Multiplying both sides by y, we get

y' = y * [1/(x+9) + 1/(x+3) + 1/(x+2) + 1/(x+6)]

Substituting y=(x+9)(x+3)(x+2)(x+6), we get

y' = (x+9)(x+3)(x+2)(x+6) * [1/(x+9) + 1/(x+3) + 1/(x+2) + 1/(x+6)]

Simplifying this expression, we get

y' = (x+9)(x+3)(x+2) + (x+9)(x+3)(x+6) + (x+9)(x+2)(x+6) + (x+3)(x+2)(x+6)

Thus, y' = (x+9)(x+3)(x+2) + (x+9)(x+3)(x+6) + (x+9)(x+2)(x+6) + (x+3)(x+2)(x+6)

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--The given question is incomplete, the complete question is given

" use logarithmic differentiation to determine y′ for the equation y=(x+9)(x+3)(x+2)(x+6). write your answer in terms of x only."--

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

When calculating correlation and regression both sets of data must be Statistical.

According to the statement

we have to find the type of data when we calculate the correlation and regression both sets.

so, The difference between these two statistical measurements is that correlation measures the degree of a relationship between two variables (x and y), whereas regression is how one variable affects another.

And when we calculate both then data sets must be a statistical data. because correlation summarizing direct relationship between two variables  and regression predict or explain numeric response. So, without statistical data this is not possible to calculate correlation and regression both sets.

so, When calculating correlation and regression both sets of data must be Statistical.

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The value of n that makes all of the numbers in the set {32 + n, n/8, and √(n + 23)} natural numbers is n = 63.

To find the smallest value of n so that all of the numbers in the set {32 + n, n/8, and √(n + 23)} are natural numbers, we need to determine the factors of the given numbers. We know that a natural number has no fractional part and is greater than or equal to 1.

We can find the smallest value of n by taking the Least Common Multiple (LCM) of the denominators of the fractions in the given set. So, let's begin:1. 32 + n = natural number

If n = 0, then 32 + n = 32, which is not a natural number. If n = 1, then 32 + n = 33, which is a natural number. Therefore, the value of n that makes 32 + n a natural number is n = 1.2. n/8 = natural number

If n is a multiple of 8, then n/8 is a natural number. Therefore, the value of n that makes n/8 a natural number is any positive multiple of 8.3. √(n + 23) = natural number

If n + 23 is a perfect square, then √(n + 23) is a natural number. Therefore, the value of n that makes √(n + 23) a natural number is any number that is 1 less than a perfect square.

We need to find the smallest value of n that satisfies all three conditions above. The LCM of 8 and 1 is 8. The smallest multiple of 8 that is 1 less than a perfect square is 63. Thus, the smallest value of n is 63.

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4 is the value of the side LM or x.

From the sine rule of the triangle in ΔLKN. Let N be the join of K and M points.

\(\frac{LN}{sin30^o} =\frac{KL}{sin90^0}\)

So,

LN = 1/2*KL

LN = \(4\sqrt{2}\)

From the sine rule of the triangle in ΔNLM,

\(\frac{LM}{sin45^o} =\frac{LN}{sin90^o}\)

So,

LM = \(\frac{1}{\sqrt{2} } *4\sqrt{2}\)

LM=4 unit

Therefore, the value of the x is 4 units.

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Answer:

Jeff is Incorrect

Step-by-step explanation:

If x ≤ 1/2, the value will either be 2 or less than 2.

x = 1/2 =>  2(1/2)+1 = 2

x = 0 =>  2(0)+1 = 1

x = -1 =>  2(-1)+1 = 0

Sara owed $200 with terms of 2/10, n/60. She made a payment of $80 within ten days. The answer is: Sara paid $80 within ten days.

The terms "2/10, n/60" refer to a discount and a credit period. The first number, 2, represents the discount percentage that Sara can take if she pays within 10 days. The second number, 10, indicates the number of days within which she can take the discount. The letter "n" represents the net amount, which is the total amount owed without any discount. The last number, 60, represents the credit period, which is the maximum number of days Sara has to make the payment without incurring any penalty.

Since Sara paid $80 within ten days, she was eligible for the discount. To calculate the discount, we multiply the discount percentage (2%) by the net amount ($200), which gives us $4. Therefore, the discount Sara received is $4. Subtracting the discount from the net amount, Sara's remaining balance is $200 - $4 = $196.

In conclusion, Sara made a payment of $80 within ten days, received a discount of $4, and still has a remaining balance of $196.

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Answer:

Step-by-step explanation:

comwe kid 56 67

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute

Answer:

y = 30 - 5.30x

Step-by-step explanation:

y-intercept: 30

slope: 5.30x

Just plug in the amount of weeks on x, and then subtract from 30.

Answer:

140m

Step-by-step explanation:

perimeter of a square with area 49 is 7×4=28, 28 × 5 rounds = 140m

Answer:

r=0.5d

Step-by-step explanation:

Angle ACD is congruent to angle ADC by transitive equality if angles 1 and 2 are both ACD because angle ACB is congruent to angle ADE in the step above. Therefore, angle 1 equals angle 2, as you can see.

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here,

Given that segments AB and AE are congruent, the triangle ABE is required to be isosceles by definition.

As a result, angle ABC must be similar to angle AED, again in accordance with the definition of an isosceles triangle.

Consequently, triangle ABC must be congruent to triangle AED by SAS as you have been informed that segments BC and DE are congruent. Right now, it's unclear to you whether angle 1 is ACB or ACD.

Assuming it is ACB, CPCT shows that ACB is congruent to ADE. Angle 1 equals angle 2, so there you have it. Since angle ACB is supplementary to angle ACD and angle ADE is supplementary to angle ADC.

Since angle ACB is congruent to angle ADE from the step above, angle ACD is congruent to angle ADC by transitive equality if angle 1 and angle 2 are both ACD. Angle 1 equals angle 2, so there you have it.

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If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.

The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.

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The length of the tangent in the circular curve is approximately 22.256 meters. To calculate the length of the tangent, we can use the formula:

Length of Tangent = External Distance / tan(Azimuthal Difference / 2)

Given that the external distance is 7.30 m and the azimuthal difference between the forward and back tangents is 37 degrees, we can substitute these values into the formula:

Length of Tangent = 7.30 m / tan(37 degrees / 2)

Now let's solve this expression step by step:

1. Calculate the value inside the tangent function:

  37 degrees / 2 = 18.5 degrees

2. Calculate the tangent of 18.5 degrees:

  tan(18.5 degrees) ≈ 0.328

3. Divide the external distance by the tangent value:

  Length of Tangent = 7.30 m / 0.328 ≈ 22.256 m

In conclusion, by substituting the given values into the formula and performing the calculations, we find that the length of the tangent is approximately 22.256 meters.

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Work Shown:

Use the circumference to determine the radius.

C = 2pi*r

12pi = 2pi*r

12 = 2r

r = 12/2

r = 6

Then find the area.

A = pi*r^2

A = pi*6^2

A = 36pi

The units for the area will be "square feet" which can be abbreviated to "sq ft",  ft^2 or \(\text{ft}^2\)

No, these results indicate that people who eat more chocolate have a lower body mass index (BMI). The negative slope of -0.168 means that as chocolate consumption increases, BMI decreases. The significant p-value of 0.003 indicates that the results are statistically significant and not due to chance.

In a mathematics problem or experiment, a variable is a quantity that can change. To indicate a variable, we often use a single letter. Generic symbols used frequently for variables include the letters x, y, and z.

In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically. For instance, the linear equation x+9=4 has 9 and 4 as constants and x as a variable.
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Step-by-step explanation:

do you happen to have a photo reference your sentence is a bit confusing

Answer:

44 = 4 · g OR g · 4 = 44

Step-by-step explanation:

So first we need to know what a variable is...

A variable is an unknown number in a math sentence

Knowing that we can write the equation.

"44 is the product 4 and Greg's height. Use the variable g to represent Greg's height"

Since we do not know Greg's height that is what we will use variable g to substitute it.

"44 is the product 4 and g"

Now all we have to do is convert this into an equation

(Note: Whenever you see product of something know that it means that you need to multiply)

So your final answer is...

44 = 4 · g

(Explanation: Since it says 44 is the product of then it means it is the answer so we will put an equal sign)

Hope this helps :)

Answer:

x = -7

Step-by-step explanation:

Step 1: Write equation

3x - 1 = -22

Step 2: Add 1 on both sides

3x = -21

Step 3: Divide both 3

x = -7

Answer:

I'm pretty sure you need more information, but I could be wrong

Step-by-step explanation:

Answer:

it's 74

Step-by-step explanation:

A and C are supplementary, that means that they add up to 180.

We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.

Step-by-step explanation:

using Pythagoras theorem,

(hypotenuse)² = (perpendicular)² + (base)²

given that, hypotenuse =x, perpendicular =7, base =4

(x)² = 7² + 4²

(x)² = 49 + 16

x = √65

Answer:

C. 59

Step-by-step explanation:

Given the following data;

Total number of seats = 12,715

Number of occupied seats = 7,512

\( Percentage = \frac {Number\; of\; occupied \;seats}{Total\; number \;of \;seats} *100 \)

Substituting into the equation, we have;

\( Percentage = \frac {7512}{12715} *100 \)

\( Percentage = 0.5908*100 \)

Percentage = 59.08

Therefore, to the nearest percent is 59%

Answer:

\(18 f+35g\)

Step-by-step explanation:

Write the problem as a mathematical expression.

\(-6*f(-3)-5*g(-7)\)

Move −3 to the left of f.

\(-6*(-3f)-5*(g(-7))\)

Multiply −3 by −6.

\(18f-5*(g(-7))\)

Move −7 to the left of g.

\(18f-5*(-7g)\)

Multiply -7 by -5.

\(18f+35g\)