2.
5 m
50 m
18 m
25 m

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer: the total  price change in stock is fall of 3.2 points or -3.2 points.

Step-by-step explanation:

In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .

Given: A stock price rose 2.2 points in  Week 1.

i.e. +2.2 points rise.

The stock price fell 5.4  points in Week 2.

i.e. fall of -5.4.   (Much greater, than it rose)

The equation to represent the total  price change in stock would be

Total  price change = price rose in  Week 1 +  price fell  in Week 2.

= [+2.2 + (-5.4)] points

= 2.2 - 5.4 points   [ (+)(-) = (-)]

= -3.2 points

Hence, the total  price change in stock is fall of 3.2 points.

Answer: 27.33

Step-by-step explanation: If you use a calculator to do the hard stuff the rest is a breeze

Answer:

(-2, 4)

Step-by-step explanation:

When you reflect a point over y=1, the location of the new y coordinate must have the same distance away to y=1 as the previous point. (In this case, (1 - - 2) = 3, and 4 - 1 = 3)

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

The one with the better deal would be 30 ride tickets for $22.50 this is because you pay less money for more rides.

Step-by-step explanation:

First you divide 20 by 14. Doing this will give you the cost of a ride per ticket.

20/14 = 1.42

Then you do the same thing to 30 and 22.50.

30/22.50 = 1.30

Last you compare which deal has less money per ride.

1.42 > 1.30

The equation of the line that is Perpendicular to y = -1/2x + 2 and passes through the point (1,3) is y = 2x + 1.

To find the equation of the line that is perpendicular to the given line, y = -1/2x + 2 and passes through the point (1,3), we need to use the following steps:

Step 1: Find the slope of the given line y = -1/2x + 2Slope of a line, m = coefficient of x in the equation of the liney = -1/2x + 2Slope, m = -1/2

Step 2: Find the slope of the line perpendicular to the given lineThe slope of a line perpendicular to the given line is the negative reciprocal of the slope of the given line.m1 * m2 = -1 (The product of the slopes of two perpendicular lines is -1)Slope of the line perpendicular to the given line, m2 = -1/m1m2 = -1/(-1/2) = 2

Step 3: Use point-slope form to find the equation of the line passing through the point (1,3) and having a slope of 2. Point-slope form of the equation of a line is given by y - y1 = m(x - x1)

where (x1, y1) is the point on the line, m is the slope of the liney - 3 = 2(x - 1)Multiplying the RHSy - 3 = 2x - 2Rearranging the termsy = 2x + 1

Therefore, the equation of the line that is perpendicular to y = -1/2x + 2 and passes through the point (1,3) is y = 2x + 1.

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The answer is: f has a local maximum at x = 2 and a local minimum at x = 4.

A local minimum is a point on the graph of a function where the function takes on its smallest value in some small interval around the point. More formally, a point (x,y) is a local minimum if there exists some open interval (a,b) containing x such that for all values of x in (a,b), y is greater than or equal to f(x). Visually, a local minimum is a "valley" on the graph of the function where the function is lower than all nearby points, but may still be higher than points farther away.

In the given question,

(a)

The curve labeled y = f'(x) represents the derivative of a function f(x). Since f'(x) is positive when f(x) is increasing and negative when f(x) is decreasing, we can use the sign of f'(x) to determine the intervals of increase and decrease of f(x).

From the given information, we can sketch the graph of f'(x) as follows:

Based on this graph, we can see that f(x) is increasing on the intervals: [0, 1) and (3, 5).

Similarly, f(x) is decreasing on the intervals: (1, 3) and (5, 6).

Therefore, the answer is:

f is increasing on the intervals [0, 1) and (3, 5).

f is decreasing on the intervals (1, 3) and (5, 6).

(b)

From the given graph, we can see that f(x) has a local maximum at x = 2 and a local minimum at x = 4.

Therefore, the answer is: f has a local maximum at x = 2 and a local minimum at x = 4.

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Answer:

  (b)  $42.79

Step-by-step explanation:

You want the monthly interest charge on a balance of $1834.50 when the annual rate is 27.99%.

The monthly interest rate is the annual rate divided by 12. This means the interest charge is ...

  I = Prt . . . . . interest on P at annual rate r for t years

  I = $1834.50 × 0.2799 × 1/12 ≈ $42.79

Her monthly interest charge will be $42.79.

7 liter = 7000000 cubic millimeters

The variance of the given data set is 36.88.

What is a variance?

The variance is a measure of how spread out a set of data is. It measures how far each number in the set is from the mean.

To compute the variance, follow these steps:

Find the mean (average) of the data set by adding up all the numbers and dividing by the total number of numbers:

mean = (10.7 + 20.7 + 11.5 + 15.4 + 19.3 + 24.9 + 30.7 + 15.4 + 18.2 + 16.9) / 10 = 18.8

Subtract the mean from each number in the data set and square the result:

\((10.7 - 18.8)^2 = 68.89\)

\((20.7 - 18.8)^2 = 3.61\)

\((11.5 - 18.8)^2 = 53.29\)

\((15.4 - 18.8)^2 = 11.56\)

\((19.3 - 18.8)^2 = 0.25\)

\((24.9 - 18.8)^2 = 37.21\)

\((30.7 - 18.8)^2 = 141.61\)

\((15.4 - 18.8)^2 = 11.56\)

\((18.2 - 18.8)^2 = 0.36\)

\((16.9 - 18.8)^2 = 3.61\)

Add up all the squared differences from step 2:

68.89 + 3.61 + 53.29 + 11.56 + 0.25 + 37.21 + 141.61 + 11.56 + 0.36 + 3.61 = 331.95

Divide the result from step 3 by the total number of numbers in the data set minus 1:

variance = 331.95 / (10 - 1) = 36.88

Therefore, the variance of the given data set is 36.88.

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Answer:

15, 16, 17

Step-by-step explanation:

28+ x > 42

⇒ x > 42-28

⇒ x > 14

With that said, the three values would be 15, 16, 17

Their car broke down 120 miles from home.

Since both distances to and fro are the same, we have that

30t = d (1) and 20t' = d (2)

30t = 20t'   (3)

Also, since they wer gone for 10 hours, we have that t + t' = 10 (4)

So, t' = 10 - t

Substituting t' into (3), we have

30t = 20(10 - t)

30t = 200 - 20t

30t + 20t = 200

50t = 200

t = 200/50

t = 4 hours.

Substituting t into (1), we have

d = 30t

= 30 × 4

= 120 miles

So, their car broke down 120 miles from home.

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Answer:

(4,3) , (3,4)

Step-by-step explanation:

focus on the x-axis and where the points lie with the y-axis.

Answer:

D

Step-by-step explanation:

First, let's calculate the initial monthly payment without purchasing any points.

The amount of the mortgage after the 20% down payment is:

$125,000 x 0.8 = $100,000

To calculate the monthly payment, we can use the formula:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Where:

M = Monthly payment

P = Principal (loan amount)

i = Interest rate (per month) = 4.75% / 12 = 0.0039583

n = Number of payments = 30 years x 12 months per year = 360

So, plugging in the values:

M = $100,000 [ 0.0039583(1 + 0.0039583)^360 ] / [ (1 + 0.0039583)^360 – 1]

M = $522.12 (rounded to the nearest cent)

Now, let's calculate the new monthly payment if Ashlee purchases 2 points. Each point costs 1% of the loan amount, so for a $100,000 loan, each point is $1,000.

By purchasing 2 points, Ashlee would pay an additional $2,000 upfront (2 x $1,000). This will lower the interest rate on the loan by 0.5%, from 4.75% to 4.25%.

Using the same formula as before, but with the new interest rate of 4.25% / 12 = 0.0035417, we get:

M = $100,000 [ 0.0035417(1 + 0.0035417)^360 ] / [ (1 + 0.0035417)^360 – 1]

M = $505.16 (rounded to the nearest cent)

The difference in monthly payments is:

$522.12 - $505.16 = $16.96

Rounding to the nearest cent, the answer is option D, $14.96.

Answer:

Part A is 1/4

Part B is 3/4

Step-by-step explanation:

1(A):3(B)

brainliest?

Answer: the sale price is $2.70

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 18 × 85/100

Discount = 18 x 0.85

You save = $15.30

Final Price = Original Price - Discount

Final Price = 18 - 15.3

Final Price = $2.70

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Based on the fact that the sum of the interior angles need to be equal to 180°, the missing angle is 110°

The sum of all the interior angles need to add up to 180° which means that to find the missing angle, you should subtract the known angles from 180°.

The missing angle is:

= Total angle - Known angles

Solving for the missing angle gives:

= 180 - 21 - 49

= 180 - 70

= 110°

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Answer:

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

Find the radius;

20/2=10

Plug everything into the equation;

4/3 (3) (10)^3= 4000

Hope this helps:) Have a good day!

Answer:

4000

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  48

Step-by-step explanation:

If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...

  (8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

B.Inverse proportion

The suitable inequalities that can shown the shaded region are

2x-y≤0 and 2x-4y≤0

Inequality can be viewed from different perspectives, all of which are related. Most common metric is Income Inequality, which refers to the extent to which income is evenly distributed within a population.

From the graph, the first line cuts the x-axis at point 2 and touches the y-axis at -1

This forms the inequality 2x-y≤0 and

the second graph/line cuts the x-axis at point 2 and the y-axis at point -4 making the inequality 2x-4y≤0

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The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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