The function S(d)= 86log d +112 relates the speed of wind, S, in miles per hour, near the centre of a tornado to the distance the tornado travels, d, in miles. Estimate the rate at which the speed of the wind at the centre of the tornado is changing the moment it has traveled its 50th mile.

Answer:

B.    E'(-3, -2), F'(-3, 0), G'(0, 0)

Step-by-step explanation:

When a point (x, y) is reflected over the x-axis the new coordinates will be
(x', y') where x'x = x and y' = -y

In other words, the transformation is
(x, y) ⇒ ((x, -y)

Point E is (-3, 2) . When transformed e' becomes (-3, -2)

The only choice where E' is (-3, -2) is choice B

You can test the others if you wish

Answer:
B.    E'(-3, -2), F'(-3, 0), G'(0, 0)

Answer:

x = 1

Step-by-step explanation:

\(\frac{2}{3}\) (9x - 6) = \(\frac{1}{4}\) (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Answer:    14 √ 3

Step-by-step explanation:

Step 1: List Factors

List the factors of 588 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4, 49, 196

Step 3: Divide

Divide 588 by the largest perfect square you found in the previous step:

588 / 196 = 3

Step 4: Calculate

Calculate the square root of the largest perfect square:

√196 = 14

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 588 in its simplest form:

14 √ 3  

Answer:

sdd

Step-by-step explanation:

seds

The number of years for the investment to double is 12.05 years

Given data ,

To determine how long it will take for Bruno's investment to double, we can use the formula for simple interest:

I = Prt

Where:

I is the interest earned,

P is the principal (initial investment),

r is the interest rate, and

t is the time in years.

In this case, Bruno's initial investment is $550 and the interest rate is 8.3%. We want to find the time it takes for the investment to double, so the interest earned will be equal to the initial investment (I = P).

Let's substitute these values into the formula:

P x r x t = P

$550 x 0.083 x t = $550

0.083 x t = 1

t = 1 / 0.083

t ≈ 12.05 years

Hence , it will take approximately 12.05 years for Bruno's investment to double if he never withdraws money from the account

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Answer:

400 milliliters

Step-by-step explanation:

multiply 4 x 100

=400

The function g(-1) when evaluated for g(x + 3) = 2x + 1 is -7

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

g(x + 3) = 2x + 1

To find g(-1), we have

g(x + 3) = g(-1)

Using the above as a guide, we have the following:

x + 3 = -1

Evaluate the like terms

x = -4

Substitute the known values in the above equation, so, we have the following representation

g(-4 + 3) = 2(-4) + 1

So, we have

g(-1) = -7

Hence, the soluton is -7

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$11,700.00  is are the annual taxes.

What is the meaning of annual tax?

Annual Tax is the real property tax assessed on a property for a fiscal year, as determined after deducting any amounts from which the property is exempt or whose assessment has been reduced in accordance with applicable law.

a property is valued = $487,500

$487,500 /2 = $243750

"per $100 of valuation"  tax units =  $243750 / 100 = $2437.5

Total tax = $2437.5 * 4.80 =   $11,700.

Therefore, the $4.80 rate for a total tax of $11,700.

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Answer:

either c or b

Step-by-step explanation:

im so sorry im also stuck but im more leaning towards near future but im not sure! i hope that the process of elimination helped a bit at least

Answer:

In the near future.

Step-by-step explanation:

In the past it would have said was etc..

Right now, it would say "it just started"

In the far future it would have said in a few days or so.

Answer:

the distance between points M(2,6) and N(3,1)

MN = \(\sqrt{(3 -2)^{2} + (1 - 6)^{2} }\) =\(\sqrt{26}\)

Answer:

Step-by-step explanation:

28/7=4

4 teams

Answer:

?

Step-by-step explanation:

Answer: (2, -1)

Step-by-step explanation:

To determine if an ordered pair is a solution to an inequality, we substitute the values of x and y into the inequality and see if the resulting expression is true or false.

A. For (7,2), we have:3(7) + 4(2) = 21 + 8 = 29 29 > 5, so (7,2) is not a solution to the inequality.

B. For (2,-1), we have:3(2) + 4(-1) = 6 - 4 = 2 2 ≤ 5, so (2,-1) is a solution to the inequality.

C. For (5,-1), we have:3(5) + 4(-1) = 15 - 4 = 11 11 > 5, so (5,-1) is not a solution to the inequality.

D. For (6,1), we have:3(6) + 4(1) = 18 + 4 = 22 22 > 5, so (6,1) is not a solution to the inequality.

So, the ordered pair that is a solution to the inequality is (2,-1).

Answer:

98 - 84 = 14(this is the change) now we convert this to a percent

14/1 x 100/100 = 14%

The total amount of stockholders' equity that will be presented in the balance sheet is $1,340,000.

To determine the total amount of stockholders' equity presented on Ladder Distributors' March 31, 2020, balance sheet, we need to account for the reacquisition of 4,000 shares of common stock.

Initially, the balance sheet showed 20,000 shares issued and outstanding at a par value of $30 per share. This translates to a common stock balance of 20,000 shares * $30 par value = $600,000.

The balance sheet also indicated a paid-in capital in excess of par value of $240,000 and retained earnings of $700,000, resulting in a total stockholders' equity of $1,540,000.

On March 1, 2020, the company reacquired 4,000 shares of its common stock for $50 per share. The cost of this reacquisition is calculated as 4,000 shares * $50 per share = $200,000.

To determine the new stockholders' equity on the March 31, 2020, balance sheet, we subtract the cost of reacquisition ($200,000) from the total stockholders' equity on December 31, 2019 ($1,540,000). This gives us $1,540,000 - $200,000 = $1,340,000.

Therefore, the total amount of stockholders' equity that will be presented on Ladder Distributors' March 31, 2020, balance sheet is $1,340,000.

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Answer:

It has to be less than 20 kids per team.

Step-by-step explanation:

Because 1107/56 is 19.767857142.

total kids= 1107

team no.= 56

no.of kids in one team= 1107/56

                                        =19.765

Hope it helped u.

The minimum hourly wage that Jude may receive per hour in Sioux City is $7.25. It depends on the applicable federal and state minimum wage laws in effect in Sioux City, Iowa.

As of my knowledge cut-off in 2021, the federal minimum wage is $7.25 per hour. However, some states, including Iowa, have set a higher minimum wage. As of 2021, the minimum wage in Iowa is $7.25 per hour.

It's worth noting that the minimum wage may have changed since my training data cut-off, so I would advise checking the current laws in your area to determine the exact minimum wage that Jude may receive. Therefore the average wage per hour in Sioux City is $7.25.

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The correct question for the answer is

Jude is a full-time student working in the library at Sioux city college in Sioux city, Iowa. what is the minimum hourly wage that Jude may receive?

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Answer:

- 50

Step-by-step explanation:

x = 3

f ( x ) = - 4x^2 - 3x - 5

f ( 3 )

= - 4 ( 3 )^2 - 3 ( 3 ) - 5

= - 4 ( 9 ) - 3 ( 3 ) - 5

= - 36 - 9 - 5

= - 50

Answer: 25, 20, 15, 10, 5.

Step-by-step explanation:

The first five terms of the sequence are:

25, 20, 15, 10, 5.

To find the nth term, we use the formula:

an = an-1 - 5

Starting with a1 = 25:

a2 = a1 - 5 = 25 - 5 = 20

a3 = a2 - 5 = 20 - 5 = 15

a4 = a3 - 5 = 15 - 5 = 10

a5 = a4 - 5 = 10 - 5 = 5

So, the first five terms are 25, 20, 15, 10, 5.

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

Answer:

\( \sin( \alpha ) = \frac{16}{ \sqrt{281} } \)

Step-by-step explanation:

Greetings!!!

Firstly, remember the sin trigonometric equation

\( \sin( \alpha ) = \frac{opposite}{hypotenuse} \)

Assuming the image as this question and solve

If you have any questions or unclear ideas tag on comments

Hope it helps!!!

The value of the indicated trigonometric ratio sin( α ) is (16√281 )/281.

The figure in the image is a right triangle.

To find sin(α), we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values

sin( α ) = 16/√281

To simplify further, we rationalize the denominator

Multiply both the numerator and denominator by √281

sin( α ) = (16 × √281 ) /(√281 × √281 )

sin( α ) = (16 × √281 ) / 281

sin( α ) = (16√281 )/281

Therefore, the value of sin( α ) is (16√281 )/281.

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The rectangular coordinate for the polar coordinate (4, 210°) is  (-3.46, -2).

The rectangular coordinate for the polar coordinate (4, 210°) is calculated by applying the following formula as shown below;

x = r cos(θ)

y = r sin(θ)

where;

From the given  polar coordinate (4, 210°);

r = 4

θ = 210⁰

The rectangular coordinate is calculated as follows;

x = 4 x cos(210°)

y = 4 x sin(210°)

x = -3.46

y = -2

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A)  The coordinates (225, 0) and (0, 150) represent the combinations of pork and carbohydrates that Tonyo can purchase with his grocery budget.

B) Quantity of carbohydrates (Qc) = 136.36 units

A) Graph Budget line on year 2021, considering pork and carbohydrates:

To graph the budget line for year 2021, we need to calculate the quantity combinations of pork and carbohydrates that Tonyo can purchase with his allotted budget. Given that Tonyo allocates 15% of his salary to groceries and his salary is 30,000 PHP, his grocery budget for 2021 would be:

Grocery budget for 2021 = 0.15 * 30,000 PHP = 4,500 PHP

Let's assume that Tonyo spends all of his grocery budget on either pork or carbohydrates.

Assuming he spends all on pork:

Quantity of pork (Qp) = Grocery budget for 2021 / Price of pork = 4,500 PHP / 20 PHP = 225 units

Assuming he spends all on carbohydrates:

Quantity of carbohydrates (Qc) = Grocery budget for 2021 / Price of carbohydrates = 4,500 PHP / 30 PHP = 150 units

We can now graph the budget line with pork on the x-axis and carbohydrates on the y-axis. The coordinates (225, 0) and (0, 150) represent the combinations of pork and carbohydrates that Tonyo can purchase with his grocery budget.

B) Graph Budget line on year 2022, considering pork and carbohydrates:

In year 2022, prices of groceries increased by 10%. To calculate the new prices for pork and carbohydrates, we multiply the original prices by 1.10.

New price of pork = 20 PHP * 1.10 = 22 PHP

New price of carbohydrates = 30 PHP * 1.10 = 33 PHP

Using the same budget of 4,500 PHP, we can now calculate the new quantity combinations:

Quantity of pork (Qp) = Grocery budget for 2021 / New price of pork = 4,500 PHP / 22 PHP ≈ 204.55 units

Quantity of carbohydrates (Qc) = Grocery budget for 2021 / New price of carbohydrates = 4,500 PHP / 33 PHP ≈ 136.36 units

We can now graph the budget line for 2022, using the new quantity combinations.

C) Graph the budget line on year 2023, considering fish and carbohydrates:

In year 2023, Tonyo decided to shift from pork to fish. Let's assume that the price of fish remains the same as in 2022, while the price of carbohydrates increases by 10%.

Price of fish = 15 PHP

New price of carbohydrates = 33 PHP * 1.10 = 36.30 PHP

With a 10% increase in salary, Tonyo's new salary in 2023 would be:

New salary = 30,000 PHP * 1.10 = 33,000 PHP

Using the same grocery budget of 15% of his salary:

Grocery budget for 2023 = 0.15 * 33,000 PHP = 4,950 PHP

Let's calculate the new quantity combinations:

Quantity of fish (Qf) = Grocery budget for 2023 / Price of fish = 4,950 PHP / 15 PHP ≈ 330 units

Quantity of carbohydrates (Qc) = Grocery budget for 2023 / New price of carbohydrates = 4,950 PHP / 36.30 PHP ≈ 136.27 units

We can now graph the budget line for 2023, using the new quantity combinations.

Please note that the actual graphing of the budget lines would require plotting the points based on the calculated quantity combinations and connecting them to form the budget line. The computed quantities provided here are approximate and should be adjusted according to the specific graphing scale and precision desired.

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Answer:

3.0 hours

Step-by-step explanation:

2.5h=10°f

2.5/10 = 0.25

0.25* 12= 3

Answer:

B. 43.96

Step-by-step explanation:

The formula for circumference is C = 2 × pi × radius

2( 3.14 ) = 6.28

6.28( 7 ) = 43.96

Hope this helps ^^

Answer:

88

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height here is 11 and the base is 16

1/2*16*11 = 88 units square

The significance level, denoted by alpha (α), is a predetermined threshold used in hypothesis testing to determine the probability of rejecting the null hypothesis when it is actually true.

The steps involved in determining the significance level are as follows:

Therefore, the significance level indicates the probability of rejecting the null hypothesis when it is actually true. A smaller significance level (e.g., 0.01) means that the researcher is less willing to accept the risk of rejecting the null hypothesis when it is actually true, while a larger significance level (e.g., 0.05) means that the researcher is more willing to accept that risk.

In conclusion, the significance level is a critical parameter in hypothesis testing that helps researchers make decisions about the null hypothesis. By setting a predetermined threshold for the probability of rejecting the null hypothesis, researchers can control the risk of Type I error (rejecting the null hypothesis when it is actually true) in their statistical analyses.

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Based on the weight of the pig and the age in days, the function notation would be w = f (d).

The function will take the form of:

y = f(x)

y will be the weight and x will be the age of the pig in days.

The function would therefore be:

w = f (d)

In conclusion, the function notation to express the pig's weight is w = f (d).

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The first three terms of the Taylor series for \(\(f(x)\) = \(\arcsin}\) \(x\)\) at \(\(c = \frac{1}{2}\)\) are:

\(\[f(x) = \frac{\pi}{6} + \frac{\pi}{3}(x - \frac{1}{2}) - \frac{\pi}{4}(x - \frac{1}{2})^2 + \ldots\]\)

To find the Taylor series for \(\(f(x)\) = \(\arcsin\ x\)\) at \(\(c = \frac{1}{2}\)\), we need to compute the derivatives of \(\(f\) at \(c\)\) and evaluate them at \(\(c\).\) Let's start by finding the first few derivatives of \(\(f(x)\) = \(\arcsin\ x\)\)

\(\[f'(x) = \frac{1}{\sqrt{1 - x^2}}\]\[f''(x) = \frac{x}{(1 - x^2)^{\frac{3}{2}}}\]\[f'''(x) = \frac{3x^2 + 1}{(1 - x^2)^{\frac{5}{2}}}\]\)

Now, let's evaluate these derivatives at \(\(c = \frac{1}{2}\):\)

\(\[f(\frac{1}{2}) = \frac{\pi}{6}\]\[f'(\frac{1}{2}) = \frac{\pi}{3}\]\[f''(\frac{1}{2}) = \frac{\pi}{4}\]\)

Using these values, we can write the Taylor series expansion for \(\(f(x)\)\) as:

\(\[f(x) = f(c) + f'(c)(x - c) + \frac{f''(c)}{2!}(x - c)^2 + \ldots\]\)

Substituting \(\(c = \frac{1}{2}\)\) and the corresponding values, we get:

\(\[f(x) = \frac{\pi}{6} + \frac{\pi}{3}(x - \frac{1}{2}) - \frac{\pi}{4}(x - \frac{1}{2})^2 + \ldots\]\)

These are the first three terms of the Taylor series for \(\(f(x)\) = \(\arcsin\ x\)\) at \(\(c = \frac{1}{2}\).\) Note that the ellipsis \((...)\) represents the remaining terms in the series, which involve higher powers of \(\((x - \frac{1}{2})\).\)

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