Find the rate of change for f(1)=21,f(n)=f(n-1)+7.5

Answer:

To solve this problem, we need to add up the total amount of twine Charles used and then subtract it from the total amount he had.

Charles used 6.6 feet for each of the four packages, so he used a total of 6.6 * 4 = 26.4 feet for those packages.

He also used 7.5 feet for another package.

Therefore, the total amount of twine Charles used is 26.4 + 7.5 = 33.9 feet.

To find out how much twine Charles had left, we need to subtract the amount he used from the total amount he had:

42.3 - 33.9 = 8.4 feet

Therefore, Charles had 8.4 feet of twine left.

Step-by-step explanation:

The equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:

s = 93m

One of the ferrets digs 465 cubic centimeters of soil from a burrow in 5 minutes.

The digging rate can be calculated as follows;

A rate is a ratio between two related quantities in different units. Therefore,

rate = 465 / 5 = 93 cubic centimetres per minutes.

Therefore, the equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:

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The area of the composite figure is determined as 200.55 in².

The area of the composite figure is calculated by applying the following formula as follows;

Area of composite figure = area of square + area of semicircle

The area of the square is calculated as follows;

area = 12 in  x 12 in

area of square = 144 in²

The area of the circle is calculated as follows;

diameter of the circle = 12 in

radius of the circle = 6 in

area of semi circle = ¹/₂ πr²

area of semi circle = ¹/₂ π x (6 in )²

area of semi circle = 56.55 in²

Total area of the composite figure = 144 in² + 56.55 in² = 200.55 in²

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Answer:

x = 3/2−7y/2

Step-by-step explanation:

hope this is correct

a) the population cannot be negative, the limiting population is 4300.

b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.

c)the equilibrium solutions are p = 0 and p = 4300.

(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.

\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)

For dp/dt to be positive (i.e. population is increasing),

we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)

For dp/dt to be negative (i.e. population is decreasing),

we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)

Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.

(b) To find the limiting population, we need to find the value of p as t approaches infinity.

As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.

0 = 1.2p(1 - p/4300)

Simplifying, we get:

0 = p(1 - p/4300)

So, either p = 0 or 1 - p/4300 = 0.

Solving for p, we get:

p = 0 or p = 4300.

Since the population cannot be negative, the limiting population is 4300.

(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.

Therefore, the equilibrium solutions are p = 0 and p = 4300.

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a)  The population is increasing when 0 < p < 4300, and  decreasing when p > 4300.

b)  The population cannot be negative, the limiting population is 4300.

c)  these are the equilibrium solutions.  At p = 0, the population is not

increasing or decreasing, and at p = 4300,  the population is decreasing

but not changing in size.

(a) To determine when the population is increasing or decreasing, we

need to find the sign of dp/dt. We have:

dp/dt = 1.2p(1 - p/4300)

This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and

negative when 1 - p/4300 < 0, i.e., when p > 4300.

Therefore, the population is increasing when 0 < p < 4300, and

decreasing when p > 4300.

(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:

1.2p(1 - p/4300) = 0

This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.

(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and

p = 4300.

Therefore, these are the equilibrium solutions.

At p = 0, the population is not increasing or decreasing, and at p = 4300,

the population is decreasing but not changing in size.

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Answer:

Step-by-step explanation:

1-1=0

Answer:You will have 0 moms.

Step-by-step explanation:

First you take 1 away from 1.

After that you get your answer of 0.

Answer: contingency leadership

Step-by-step explanation:

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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In this situation, the expression "$12" could mean the cost of each individual ticket to the science museum. Here are two different possible meanings of this expression and their corresponding quotients:

Meaning 1: Each ticket costs $12

Quotient: $180 / $12 = 15

If each ticket costs $12, then the quotient of $15 represents the number of tickets the science club can purchase with the given amount of money. In this case, the quotient of 15 means that the science club can buy 15 tickets to the science museum with the $180 they have.

Meaning 2: Each member of the science club needs to contribute $12

Quotient: $180 / $12 = 15

Explanation: If each member needs to contribute $12, then the quotient of $15 represents the number of members in the science club. In this case, the quotient of 15 means that there are 15 members in the science club who need to contribute $12 each to raise the $180 required to pay for the tickets.

Therefore, the quotient of 15 has different meanings depending on the context. It either represents the number of tickets the science club can buy or the number of members who need to contribute.

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The area of the parallelogram is \(\sqrt{132}\).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Given that,

vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)

Area of Parallelogram = |KL × KN|

KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)

KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)

Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.

Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|

                                    = |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|

                                    = |i(-10) - j(-4) + k(-4)|

                                    = |-10i + 4j - 4k|

                                    = \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)

                                    = \(\sqrt{100+16+16}\)

                                    = \(\sqrt{132}\)

Hence, The area of the parallelogram is \(\sqrt{132}\).

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The first-order Taylor formula for f(x, y) = 19x at (0, 0) is f(x, y) ≈ 19x.

To find the first-order and second-order Taylor formulas for the function f(x, y) = 19x at the point (0, 0), we need to calculate the partial derivatives of the function at that point.

The first-order Taylor formula is given by:

f(x, y) ≈ f(0, 0) + ∂f/∂x(0, 0)(x - 0) + ∂f/∂y(0, 0)(y - 0)

Since f(x, y) = 19x, the partial derivatives are:

∂f/∂x = 19

∂f/∂y = 0

Plugging these values into the first-order Taylor formula, we get:

f(x, y) ≈ f(0, 0) + 19(x - 0) + 0(y - 0)

        ≈ 0 + 19x + 0

        ≈ 19x

Therefore, the first-order Taylor formula for f(x, y) = 19x at (0, 0) is f(x, y) ≈ 19x.

The Series Theorem of Taylor

Assume that f(x) is a real or composite function and that it is a differentiable function of a real or composite neighbourhood number. The following power series is then described by the Taylor series: f (x) = f ′ (a) (a) 1! ( x − a ) + f ” ( a ) 2 !

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The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

With triangle C, no rotation would make it like A and B, with the same side lengths, hence it is not congruent to any of the triangles in this problem.

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The latest statistics from the National Science Foundation indicate a concerning Gender gap persists in computer science and engineering fields with declining women's degrees from 2005 to 2008.

The data shows that the percentage of engineering degrees awarded to women decreased from 20% in 2005 to 18% in 2008, while the percentage of computer science degrees awarded to women dropped from 22% to 17% during the same period.

These findings highlight the persistent gender disparity in these fields, despite progress in other areas. To address this issue, efforts should focus on promoting and encouraging women to pursue careers in computer science and engineering, providing equal opportunities and supportive environments to bridge the gender gap and foster diversity and inclusion in these crucial fields.

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Answer:

the answer should be B, 1/12 > 0.083

12

Step-by-step explanation:

1.25 x 12=15.00 so he can at least sell 12 minimum and still have a .25 (25 cents) left

The minimum number of ice pops Mark needs to sell to make at least enough money to cover the cost of his supplies is 12

From the question,

We are to determine the minimum number of ice pops Mark needs to sell

From the given information

Mark is charging $1.25 per ice pop

and

He needs to make at least $14.75

∴ The minimum number of ice pops he needs to sell = The amount he needs to make ÷ The rate he is charging per ice pop

That is,

The minimum number of ice pops he needs to sell = $14.75 ÷ $1.25

The minimum number of ice pops he needs to sell = 11.8

Round up the answer to the nearest whole number

The minimum number of ice pops he needs to sell = 12

Hence, the minimum number of ice pops Mark needs to sell to make at least enough money to cover the cost of his supplies is 12.

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Answer:

:)

Step-by-step explanation:

A) 4,4

B) 2,2

C) 4,3

Hope this helps

Answer:

$450

Step-by-step explanation:

cost = area × price per square meter

cost = LW × $5/m²

cost = 90 m² × $5/m²

cost = $450

Answer:

$450

Step-by-step explanation:

9x10=90 meters

90x5=$450

The study conducted by the Gallup News Service, asking 1,004 adults about their level of concern regarding global warming, is a cross-sectional study.

The study conducted by the Gallup News Service, where 1,004 adults were surveyed and asked about their level of concern regarding global warming, can be categorized as a cross-sectional study. In a cross-sectional study, data is collected at a specific point in time from a sample of individuals or units from a population. In this case, the survey gathered information from a group of adults at a particular time to understand their level of concern regarding global warming.

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Answer:

x = 183/127 OR 1.4409

Step-by-step explanation:

-9.1 - 3.7x = 9x + 9.2

9x + 3.7x = -9.1 - 9.2

12.7x = -18.3

x = - 18.3/12.7

x = 183/127 OR 1.4409

Answer:

I agree with you because the denominator always stays the same

The unknow angles are as follows:

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.

Therefore,

m∠4 = 72 degrees

Hence,

m∠1 + m∠4 = 180 (angle on a straight line)

m∠1 = 180 - 72

m∠1 = 108 degrees

m∠2 = m∠4 (vertically opposite angles)

Vertical angles are the angles formed when two lines intersect each other. Vertical angles are congruent.

Therefore,

m∠2 = 72 degrees

m∠5 = m∠1 (corresponding angles)

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

m∠5 = 108 degrees.

m∠7 = m∠5(vertically opposite angles)

m∠7 = 108 degrees

m∠8 = m∠2 (alternate exterior angles)

Alternate exterior angles are congruent.

m∠8 = 72 degrees

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\(1.58×10^−6 g\) is equivalent to 1.58 mg.

To convert grams to milligrams, we need to multiply the given value by a conversion factor. Since there are 1,000 milligrams in 1 gram, we can multiply the given value by 1,000 to convert it to milligrams.

Given:\(1.58×10^−6 g\)

To convert to milligrams:

\(1.58×10^−6 g × 1,000 mg/g = 1.58 mg\)

Therefore,\(1.58×10^−6 g\) is equivalent to 1.58 mg.

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The value of x in the solution set of the inequality: - 2(3x+2) > -8x + 6 is x>5.

- 2(3x+2) > -8x + 6

Let's solve the inequality by isolating the variable x.

or, - 6x -4 > -8x + 6

Add 4 on both sides

or, - 6x - 4 + 4 > -8x + 6 + 4

or, -6x > -8x + 10

Add 8x on both sides

or, -6x + 8x > -8x +8x +10

or, 2x > 10

Divide both sides by 2

or, 2x/2 > 10/2

0r, x > 5

Hence, the value of x in the solution set of - 2(3x+2) > -8x + 6 is x>5.

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The complete question is :

What value of x is in the solution set of the inequality -2(3x+2) > -8x + 6?

Answer:

5

Step-by-step explanation:

bottom was cut off a bit its 4=b

Dée Trader's rate of return on her investment in Internet Dreams, considering the share price decrease and the interest expense, is 8.5%.

Dée Trader purchased 300 shares of Internet Dreams at $40 per share, resulting in an initial investment of $12,000 (300 shares * $40). However, since she borrowed $4,000, her out-of-pocket investment is $8,000 ($12,000 - $4,000).

At the end of the year, the share price falls to $30 per share. The market value of her investment is now 300 shares * $30, which equals $9,000.

Now, let's calculate the interest expense on the borrowed amount. The interest rate is 8%, so the interest expense for the year is 8% of $4,000, which equals $320.

To determine the net profit or loss, we subtract the initial investment and the interest expense from the market value of the investment. In this case, the net profit is ($9,000 - $8,000) - $320, which equals $680.

Finally, we can calculate the rate of return by dividing the net profit by the initial investment and expressing it as a percentage. The rate of return is ($680 / $8,000) * 100, which equals 8.5%.

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Answer: I got my answer by dividing 14 by 35, then multiplying by 100.

Answer: 250 minutes.

Step-by-step explanation: You make a fraction.

Actual time / Percentage

Then you multiply that by 100.