If f(x) = 8x + 1 and the graph of g is the graph f translated 2 units to right, which equation represents g?
A. g(x) = (6x + 1) + 2
B. g(x) = (6x + 1) - 2
C. g(x) = 8(x + 2) + 1
D. g(x) = 8(x - 2) + 1
Can someone please help?

In integration the bindefinite integral of 1/xlnx is

ln(|u|)+C=ln(|lnx|)+C with the aid of using parts, we've discovered whilst the specified formula.

The vital of the 2 capabilities are taken, with the aid of using thinking about the left time period as first feature and 2nd time period as the second one feature.

This technique is referred to as Ilate rule.The vital of xlnx is same to (x2/2) lnx - x2/4 + C, wherein C is the mixing constant. We can compare this vital the usage of the technique of integration with the aid of using parts.

We have the vital:

\(∫1xlnxdx

Use substitution. Let u=lnx so that du=1xdx . Note that each of those are presently gift withinside the vital.

∫1xlnxdx=∫(1lnx)1xdx=∫1udu

This is a not unusualplace vital:

∫1udu=ln(|u|)+C

Since u=lnx :

ln(|u|)+C=ln(|lnx|)+C\)

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Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.

But it is not true that drinking diet soda causes weight gain.

The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.

the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.

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Answer:

Step-by-step explanation:

Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return

Answer:

2+5*3=17

Step-by-step explanation:

The blanks should be filled in with a plus (+) and a times sign (*), respectively. To solve this question you must understand PEMDAS. This stands for paratheses, exponents, multiplication, division, addition, subtraction. When solving an equation, operations should be done in this order. Therefore, numbers should be multiplied before they are added.

So, to solve this equation multiply 5*3; this equals 15. Then add 2, which equals 17. And 17=17, so the equation must be true.

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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Answer: The answer is b

Step-by-step explanation:    Please give me thanks and 5 star  

              Have Great Day   :)

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

x=19

Step-by-step explanation:

The sum of the three anagles is 180

(5x+4)+(x-2)+(3x+7)=180

5x+x+3x+4-2+7=180

9x+9=180

9(x+1)=180

x+1=20

x=20-1

x=19

When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

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We can conclude that the difference between p1 and p2 is statistically significant at the 5% level of significance.

The confidence interval and significance test in part A both provide similar information. The significance test in part A tests if the difference between p1 and p2 is statistically significant, while the confidence interval provides an estimated range of values for the true difference between p1 and p2 with a certain degree of confidence (95% in this case).A confidence interval is a range of values that we believe will include a population parameter with a specified level of confidence.

It can be computed to estimate the population mean or the difference between two population means, such as p1 and p2.In contrast, a significance test assesses whether the difference between two population proportions is statistically significant.

The test calculates a p-value, which is the likelihood of obtaining the observed difference between two proportions, assuming the null hypothesis (that there is no difference between the two proportions) is true. A p-value less than the level of significance (usually 0.05) indicates that the difference between the two proportions is statistically significant, while a p-value greater than the level of significance indicates that the difference is not statistically significant.

Both the confidence interval and the significance test inform us about the difference between two population proportions. The confidence interval provides a range of plausible values for the difference, while the significance test tells us whether the difference is statistically significant or not. In this particular case, since the confidence interval does not contain zero,

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The distance the puck traveled from the wall to Pedro is determined as √(ab).

Let's call the distance from Meg to the wall "a" and the distance from Pedro to the wall "b".

Let's also call the distance the puck travels from the wall to Pedro "x".

Since the two triangles are similar, we can set up a proportion:

a / x = x / b

We can cross-multiply to get:

x² = ab

And then take the square root of both sides to get:

x = √(ab)

So the distance the puck traveled from the wall to Pedro is √(ab).

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Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Answer:

Interior angle

176 degrees

Exterior

4 degrees

Step-by-step explanation:

Exterior angle

For any polygon, the measure of the total exterior angle is 360

To get the individual exterior angle, we divide the total by n, which is the number of sides, 90 in this case

We have this as;

360/90 = 4

Interior

To get the measure of each interior angle, we use the formula below;

[(n-2)180]/n

n in this case is 90

So we have

[(90-2)180]/90

= (88 * 180)/90

= 2 * 88 = 176

We can use the Pythagorean theorem to find the length of the diagonal of the rectangle. The Pythagorean theorem states that the square of the length of the diagonal of a rectangle is equal to the sum of the squares of the lengths of its sides.

Let the width of the rectangle be x. Then, we know that:

Area of the rectangle = length x width

110 = 11x

x = 10

So, the width of the rectangle is 10 units.

Using the Pythagorean theorem, we have:

\(Diagonal^{2}\) = \(length^{2}\) + \(width^{2}\)

      = \(11^{2}\) + \(10^{2}\)

        = 121 + 100

\(Diagonal^{2}\) = 221

Diagonal = sqrt(221)

Diagonal = 14.87 (rounded to the nearest tenth)

Therefore, the length of the diagonal of the rectangle is approximately 14.9 units (rounded to the nearest tenth).

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Answer:

2.39

Step-by-step explanation:

Convert everything to a decimal.  

To do that with a fraction divide the numerator by the denominator.  

185 divided by 100 = 1.85

185/100 = 1.85

To convert a percent to a decimal divide the number by 100.

50 divided by 100 = 0.5

50/100 = 0.5

4 divided by 100 = 0.04

4/100 = 0.04

Now add:

1.85 + 0.5 + 0.04 = 2.39

Answer:

I think it's 35.

HAVE A SAVAGETASIC DAY

Answer:

f(10) = 905

Step-by-step explanation:

f(x) = 9x² +5; find f(10)

~Substitute x with 10

9(10)^2 + 5

~Solve exponent first

9(100) + 5

~Multiply

900 + 5

~Add

905

Best of Luck!

The answer is:

Work/explanation:

To evaluate the given function, plug in 5 for x:

\(\bf{f(x)=9x^2+5}\)

\(\bf{f(10)=9(10)^2+5}\)

Remember, exponents first. So we square 10 first.

\(\bf{f(10)=9\cdot100+5}\)

Multiply, then add:

\(\bf{f(10)=900+5}\)

\(\bf{f(10)=905}\)

Answer:

Part A

The motion of an elevator in a building is mechanically controlled by electrical powered devices and therefore, the motion of an elevator between start and stop is uniform motion without acceleration and therefore, a person in a moving elevator will not experience a force, therefore a blindfolded person will believe that the elevator is not moving at all

Part B

Yes the person can tell when the elevator begins or stops

When the elevator begins moving, the velocity increases from zero at a rate and the blindfolded person will be able to sense the ground moving further lower under their feet making them feel lighter

Similarly, when the elevator slows down to stop, the initial downward velocity of the elevator is steadily reduced as the elevator decelerates. The blindfolded person will be able to sense the slowing down (braking) of the elevator experiencing an increased upward force from the floor of the elevator, with the feeling of slightly increased weight

Step-by-step explanation:

Answer:

5 portions of porridge requires

250g of oats, 0.75L of milk and 25g of sugar

Step-by-step explanation:

This recipe makes 8 portions of porridge. Complete the amount of each ingredient that is needed to make just 5 portions.

The ingredients for the recipe = Oats, Milk, Sugar

Hence:

For Oats

8 portions of porridge = 400g of oats

5 portions of porridge = x

Cross Multiply

8x = 5 × 400

x = 5 × 400/8

x = 250g of oats

For Milk

8 portions of porridge = 1.2 L of milk

5 portions of porridge = x

Cross Multiply

8x = 5 × 1.2

x = 5 × 1.2/8

x = 0.75 L of milk

For sugar

8 portions of porridge = 40g of sugar

5 portions of porridge = x

Cross Multiply

8x = 5 × 40

x = 5 × 40/8

x = 25g of sugar

Hence:

5 portions of porridge requires

250g of oats, 0.75L of milk and 25g of sugar

Answer:

Line A

Step-by-step explanation:

Any line facing towards the left side of the coordinate plane will have a negative slope.

Line C is facing towards the right

Line D and B doesn't have a slope

A is the only right answer

If b is raised to 5%, then the harvesting rate will increase and the population will decrease.

The non-zero value of P that corresponds to a stable population is when the rate of change of the population is zero, or when dP/dt = 0.

Therefore, to find the non-zero value of P that corresponds to a stable population, we need to find the value of P for which the derivative dP/dt = 0. This occurs when r(1 - P/M)P - bP = 0, or equivalently, when P(M - P)(r/b) = 0.

Since we are looking for a non-zero value of P, we can discard the solution P = 0, which leaves us with P = M. Therefore, a stable population corresponds to a population size equal to the carrying capacity of the pond.

If the pond can sustain 10,000 fish, the birth rate is 5%, and the harvesting rate is 4%, we can substitute these values into the equation dP/dt = r(1 - P/M) P - bP to find the stable population level.

Setting dP/dt = 0, we have 0 = 0.05(1 - P/10000)P - 0.04P, which simplifies to \(0.05P - 0.0005P^2 - 0.04P = 0\).

Solving for P, we get P = 7500. Therefore, the stable population level is 7500 fish.

If b is raised to 5%, then the harvesting rate will increase. Since the harvesting rate is subtracted from the growth rate in the equation dP/dt = r(1 - P/M) P - bP, increasing b will result in a larger negative term, which means that the population will decrease more quickly.

Therefore, the correct answer is that the population decreases if b is raised to 5%.

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Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is \(x(x-25) \leq 650\)

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

\(Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150\)

Area ≤ 800

\(x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650\)

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

Answer:

∠ 3 = 35°

Step-by-step explanation:

∠ 5 and ∠ 3 are alternate angles and congruent, thus

∠ 3 = ∠ 5 = 35°

The original price of the guitar is $120

From the question, we have

guitar is on sale for 3/4 of the original price (p).

3/4*p = $90

p = (90*4)/3

p= $120

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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